C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2024
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
In-person direct teaching
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 9:00–10:50 Kontaktujte učitele
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications. In connection with current measures taken regarding the spread of COVID-19, the method of teaching will be modified as follows: teaching will be conducted online in the MS Teams program or through recorded lectures (commented electronic presentations). If interested, the lectures will be supplemented by online consultations.
Assessment methods
The examination with a range corresponding to the syllabus of the subject can be realized in one of two forms: 1. in-class oral or 2. remote oral via MS Teams.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2023
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Tue 10:00–11:50 Kontaktujte učitele
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications. In connection with current measures taken regarding the spread of COVID-19, the method of teaching will be modified as follows: teaching will be conducted online in the MS Teams program or through recorded lectures (commented electronic presentations). If interested, the lectures will be supplemented by online consultations.
Assessment methods
The examination with a range corresponding to the syllabus of the subject can be realized in one of two forms: 1. in-class oral or 2. remote oral via MS Teams.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2022
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Tue 10:00–11:50 C12/311
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications. In connection with current measures taken regarding the spread of COVID-19, the method of teaching will be modified as follows: teaching will be conducted online in the MS Teams program or through recorded lectures (commented electronic presentations). If interested, the lectures will be supplemented by online consultations.
Assessment methods
The examination with a range corresponding to the syllabus of the subject can be realized in one of two forms: 1. in-class oral or 2. remote oral via MS Teams.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
autumn 2021
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 8:00–9:50 C12/311
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications. In connection with current measures taken regarding the spread of COVID-19, the method of teaching will be modified as follows: teaching will be conducted online in the MS Teams program or through recorded lectures (commented electronic presentations). If interested, the lectures will be supplemented by online consultations.
Assessment methods
The examination with a range corresponding to the syllabus of the subject can be realized in one of two forms: 1. in-class oral or 2. remote oral via MS Teams.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2020
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 17:00–18:50 prace doma
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications. In connection with current measures taken regarding the spread of COVID-19, the method of teaching will be modified as follows: teaching will be conducted online in the MS Teams program or through recorded lectures (commented electronic presentations). If interested, the lectures will be supplemented by online consultations.
Assessment methods
The examination with a range corresponding to the syllabus of the subject can be realized in one of two forms: 1. in-class oral or 2. remote oral via MS Teams.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2019
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Tue 8:00–9:50 A08/309
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications.
Assessment methods
Oral examination with a range corresponding to the syllabus of the subject.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2018
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications.
Assessment methods
Oral examination with a range corresponding to the syllabus of the subject.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
autumn 2017
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 18. 9. to Fri 15. 12. Thu 12:00–13:50 C12/311
Prerequisites
Basic university level knowledge of mathematics and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry - contained in courses: M1010, M2010, C4660, C4020).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to explain the basic terms of statistical thermodynamics of gases, liquids and solids and outline possibilities of their application in chemistry.
Learning outcomes
Student will be able to:
- describe and explain the basic concepts and principles of statistical thermodynamics;
- compare and highlight the differences between the description of gaseous, liquid and solid phases;
- identify and describe individual contributions to the overall energy of the system;
- explain the possibilities of using the principles of statistical thermodynamics in chemistry;
- identify and explain the connections between the terms used by statistical thermodynamics and the measurable variables in real systems
Syllabus
  • 1. Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution.
  • 2. Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function.
  • 3. Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble.
  • 4. Canonical partition function. Microcanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas.
  • 5. Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics.
  • 6. Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic.
  • 7. Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products.
  • 9. Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy.
  • 10. Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function.
  • 11. Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons.
  • 12. Vibrational and configurational entropy. Regular solution model.
  • Model of polymer solution (Flory-Huggins). Adsorption.
  • 13. Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused on the understanding of the principles of subject and their relations to practical applications.
Assessment methods
Oral examination with a range corresponding to the syllabus of the subject.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2016
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 19. 9. to Sun 18. 12. Tue 8:00–9:50 C12/311
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble. 4.Canonical partition function. Mikrocanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2015
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
doc. Mgr. Jana Pavlů, Ph.D.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Tue 15:00–16:50 C12/311
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble. 4.Canonical partition function. Mikrocanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2014
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Mgr. Martin Zouhar, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Tue 13:00–14:50 C12/311
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble. 4.Canonical partition function. Mikrocanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2013
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
doc. Mgr. Jana Pavlů, Ph.D. (lecturer)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Mgr. Martin Zouhar, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 17:00–18:50 Kontaktujte učitele
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas. Boltzmann formula for entropy. Calculation of entropy of oscillators ensemble. 4.Canonical partition function. Mikrocanonical, canonical and grand-canonical ensemble. Partition function of canonical ensembles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Equipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions. Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Characteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2012
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2011
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 12 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2010
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 12:00–13:50 C12/311
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 12 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2009
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2008
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2007
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2006
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Tue 7:00–8:50 A,01026
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2005
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2004
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases, fluids and crystals. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2003
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases, fluids and crystals. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2002
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases, fluids and crystals. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2001
Extent and Intensity
2/0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of ideal gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases, fluids and crystals. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 1999
Extent and Intensity
2/0/0. 3 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 16 fields of study the course is directly associated with, display
Syllabus
  • Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of ideal gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases, fluids and crystals. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2000

The course is not taught in Autumn 2000

Extent and Intensity
2/0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Chemistry Section – Faculty of Science
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of ideal gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases, fluids and crystals. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
General note: v a.r.01/02.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2011 - acreditation

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 12 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2010 - only for the accreditation
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Mojmír Šob, DrSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 12 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Teaching methods
Lectures focused to practical application in calculations of phase diagrams.
Assessment methods
Lectures organized weekly, oral exam at the end. Examples are as homeworks, check of results during lectures.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.

C5300 Statistical Thermodynamics

Faculty of Science
Autumn 2007 - for the purpose of the accreditation
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Vřešťál, DrSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Prerequisites
Basic knowledge of mathematics (university course) and physical chemistry (equilibrium, kinetics, chemical structure and quantum chemistry). M1010, M2010, C3140, C4020, C4060, C5020
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
Course deals with following chapters: Molecular states and their distribution. Boltzmann distribution and partition function. Thermodynamic properties extracted from partition function. The internal energy and the entropy of perfect gas. Canonical ensemble and canonical partition function calculated for various modes of motion from spectroscopic data. Equilibrium constant. Statistical thermodynamics of real gases and fluids. Statistical thermodynamics of mixtures:regular solution model. Statistical thermodynamics of ideal crystal: Einstein and Debye models. Adsorption. Fluctuations. The aim of the course is to explain basic terms of statistical thermodynamics and outline possibilities of their application in chemistry.
Syllabus
  • 1.Statistical thermodynamics and molecular structure of matter. Postulates of statistical thermodynamics. Configuration and weight of state. Population of state. Most probable configuration. Lagrange multiplicators method, Boltzmann distribution. 2.Molecular partition function and its interpretation. Molecular partition function of harmonic oscillator. Calculation of population of states. Translation partition function. 3.Internal energy and entropy in statistical thermodynamics. Internal energy and partition function. Calculation of heat capacity at constant volume. Internal energy of perfect gas.Boltzmann formula for entropy. Calculation of entropy of oscillators ensamble. 4.Kanonical partition function. Mikrocanonical, canonical and grand-canonical ensamble. Partition function of canonical ensambles - most probable configuration. Calculation of internal energy and entropy by using of canonical partition function. Comparison of statistical and thermodynamic functions. Partition function of perfect gas. 5.Entropy of monoatomic gas. Sackur-Tetrode equation. Physical statistics. 6.Chemical applications of statistical thermodynamics. Calculation of Gibbs energy by use of partition function. Contributions to partition function: translational, vibrational, rotational and electronic. 7.Mean value of energy. Rotational and vibrational temperature. Ekvipartition principle. Calculation of heat capacity of gases. 8.Statistical description of chemical equilibrium. Calculation of equilibrium constant of chemical reaction by means of partition functions of reactants and products. 9.Statistical thermodynamics of real gas. Pair potentials. Configurational integral. Thermodynamic functions for pair interactions.Cluster formation. Virial coefficients. Residual entropy. 10.Statistical thermodynamics of liquids. Cell theory of liquids and compressed gases. Principle of corresponding states. Statistical expression of vapour-liquid equilibria. Theory of free volume of liquids. Calculation of pressure of saturated vapours. Distribution function in monoatomic liquids. Radial correlation function. 11.Statistical thermodynamics of crystal. Einstein and Debye models. Charakteristic temperatures. Fonons. 12.Vibrational and configurational entropy. Regular solution model. Model of polymer solution (Flory-Huggins). Adsorption. 13.Fluctuations of particles and thermodynamic properties. Statistics of fluctuations. Fluctuations of energy and of thermodynamic variables. Brownian motion. Relations between chemical equilibrium and chemical kinetics. Spontaneous organisation in systems.
Literature
  • BOUBLÍK, Tomáš. Statistická termodynamika. Vyd. 1. Praha: Academia, 1996, 199 s. ISBN 8020005668. info
  • ATKINS, P. W. Physical chemistry. 5th ed. Oxford: Oxford University Press, 1994, 1031 s. ISBN 0192690426. info
Assessment methods (in Czech)
Výuka probíhá týdně, ukončení je ústní zkouškou. Příklady počítají studenti jako domácí úkoly, kontrola probíhá při přednáškách.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (recent)