C8785 Photophysical Spectroscopic Methods Pavel Friš, Vít Ladányi, Ľubica Krausková, Gabriela Bičanová, Ján Krausko, Lucie Ludvíkova, Dominik Heger Masaryk University hegerdQchemi. muni. cz PSM 01 Intro Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods 1/16 PSM 01 Intro Photophysics Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods 2/16 PSM 01 Intro Photophysics Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 2/16 Spectroscopy: Hydrogen emission and absorption spectra Mk) 4000 5000 6000 7000 H11H H H H H H H II IIH H H H UA) 4000 5000 6000 Johann Balmer (1885, Basel,Switzerland) Johannes Rydberg (1988, Lund, Sweden) Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 3/16 C8785 Photophysical Spectroscopic Methods The goal: • Understand to spectroscopy, and measure well, gain self-confidence. • Get an overview of the theory and experimental details at one place. Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 4/16 C8785 Photophysical Spectroscopic Methods The goal: • Understand to spectroscopy, and measure well, gain self-confidence. • Get an overview of the theory and experimental details at one place. Content 9 Absorption - liquid, solid. • Luminescecnce - steady state, time resolved. • Transient absorption Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 4/16 C8785 Photophysical Spectroscopic Methods - Lecture 01 O Spectroscopy O Photophysics O Transmittance, Reflectance, Absorptance, Absorbance O Lambert-Beer-Bouguer law O Foerster cycle Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 5/16 Physical quantities and their notation Tabic /. / The SI base quantities Base quantity SI unit Name Symbol tor Symbol for Name Symbol quantity dimension Length / L metre m Mass m M kilogram kg Time ! I second S Electric current I 1 ampere A Thermodynamic temperature ! e kelvin K Amount of substance n N mole mol Luminous intensity /v J candela cd The value of a physical quantity Q can numerical value {Q} and a unit [Q] Q ={Q}[Q] Ex. / = 5 cm be expressed as the product of a Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 6/16 Scaled quantities Q/[Q 350 400 450 500 pH c (acetic acid)/ mM kobs / s 1 12b" 12 c" 4.92 8.14 (9.4 ±0.1) y 106 (2) n.d. 4.75 1.00 (4.35 ± 0.50) x 106 (3) (4.21 ±0.96) x 106(4) 4.52 0.32 (1.41 ± 0.17) x 106 (4) (1.38 ±0.31) x 106 (4) Pavel Friš, Vrt Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 7/16 Definitions and Lambert-Beer-Bouguer law -log (<žy<Ž>0) = -log z- = sob = A(X) t= internal transmittance (transmission factor) p = 0J0O reflectance (reflection factor) a = 0J0Q= 1 - r absorptance (absorption faktor) /specfro-'Baityil .t É ©chromatic Extinction — sum of absoptioiL, Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 8/16 Lambert-Beer-Bouguer law Lambert-Beer _> jresta.rt;with ( DEtools ) : "with í plots ) : w_LLh (linalg) : > ode :=diff (F(z) , z] =-m(z> *F (z) ; ode:=-^-F{z) =-m{z) F(z) az > dsolve^ode,F{0)=F[)}JF(z) ) ; F(z)=F0e° > m: =1. 0 ; nsol: =dsolve ( {ode,Z (0) =10 } ŕtype=rLTĽmeiric, outpnt= listprocedure); m := 1.0 nso! := [z = prffc(z) ... and pruch F{z) = pr<}Ľ(z) ... ľihI pniĽ > odeplot(nsol, [zrFtz) ] ,0. .8}; 10-9 7-S- F 5-4 3-2-1 - (2.1) (2-j> < □ ► < [f? ► < -Ž ► -Š 'O Q, O Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 9/16 Limits of Lambert-Beer-Bouguer law Conditions for validity of linear relation A = e * c * / e Independence of attenuators 9 Homogenous distribution • No turbidity • Parallel rays • Radiation being monochromatic 9 Incident flux must not influence the atoms of molecules - should be non-invasive probe (far from saturation or total absorption) Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 10 / 16 Spectra <□► < [f? ► < -e ► < -ž ► -š •o q, o Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 11 / 16 General Scheme of Spectrometer Entrance slit Source Absorption cell A Exit slit i I Dispersing element Detector Display □ ö ► < s ► Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 12 / 16 Infromation sources J. Michael Hollas: Modern Spectroscopy Klan, Wirz: Photochemistry of Organic Compounds, From Concepts to Practice <□► < [f? ► < ► < -Ž ► -Š 'o q, o Pavel Friš, Vít Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 13 / 16 Stokes shift 0 T:' .LL. 'Ti 'i!' j 2 1 0 4- i y' o' Anti-Stokes ■ Wavenumber, v Anti-Stokes Rayleigh Stokes Rayleigh Stokes J. Michael Hollas: ModerncSpectroscopy Pavel Friš, Vit Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 14 / 16 Franck-Condon Principle; Vertical excitation Pavel Friš, Vrt Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 15 / 16 Stokes shift 400 500 J_L 2.104- 1.10 0 0-ľ 0'-1 4.5 4.0 3.5 3.0 2.5 2.0 0-2 '■ V ■ 0'-2 The spectral positions of the 0-0' bands of absorption and fluorescence usually do not coincide exactly. The difference is called the Stokes shift. The excited state is generally more polarizable and often more polar than the ground state. Solvent relaxation then stabilizes the excited state following Franck^Condon excitation, so that the 0-0' band of absorption is usually at higher frequency than that of emission. When the excited state is much less polar than the ground state, the 0-0' band of fluorescence may appear at higher frequency than that of absorption (anti-Stokes shift). Unfortunately, the term Stokes shift, is also used to refer to the gap between the band maxima of absorption and emission (see the footnote to fluorescence in Section 2.1.1), which may be much larger than the shift, between the 0-0 bands. Photochemistry of Organic Compounds Klán, Wirz: Pavel Friš, Vrt Ladányi, Ľubica Krausková, G;C8785 Photophysical Spectroscopic Methods PSM 01 Intro 16 / 16