Manifestations of Light-Matter Interactions • Reflection • Refraction • Scattering • Absorption Absorption Theory and Applications of Ultraviolet Spectroscopy, by H. H. Jaffe and M. Qrchin •Absorption spectrum of a red textile tf— ,- Wavelength/nm •Transmission spectrum of the same Beer-Lambert Law Absorption Io c It l A = -log^ = -log7 = ec / [-] c molar concentration [mol H] I optical pathlength [an] £ molar decodk extinction coefficient Example: c = 10"3M, c = 104 moH • I • cm-' => 7=0.01, A = 2=> 99% of the light is absorbed within the first 2 mm of the solution MM. M IttSH höhere optik Al IH II K . i . i ... • vt,.-. Iii» August Beer (1825-1863) OD ~ 2: 1% transmission , .... . . OD can be adjusted with OD ~ 1: 10% transmission ^on/ . . concentration OD -0.01: 98% transmission Absorption Spectra: Why the s and ^vary with the band? t X (in nm or A) —> <— v (in cm"1 or s"1) Electronic structures for various states are generated assuming the molecule is stationary and it is in its lowest energy state R* _ ^2 *2- hv R -► *R lu - — ho _!_ (ho)2 (ho)1(lu)1 R _ ^! Ov Electron jump between orbitals generally takes ~ 10"15 to 10"16 s Nuclear vibrations take ~ 10"13 to 10"14 s Spin frequency even at very high magnetic field occurs in ~ 10"12 s Light as an oscillating electric field (a) (b) o 1 x Finish Oscillating electric wave Hydrogen atom A / c ? o\ t \ H H h h ■ - ■ ■ h \ c I 3 c \ 1 ) / 1 V2X + Repulsion Attraction OX (0 O Qt O 0* O O Hydrogen atom Electronic oscillation of the hydrogen atom Start Ŕv(X = 1002 A) +H2(ls^)2 '-*- H2(l«ffg;2p7r(,) Rules for absorption and emission are the same Absorption t CD i_ CD C LU Excited level AE - = hv r Ground level Emission t a3 LU Excited level ▼ Ground level Probability of light absorption and emission Fermi's Golden Rule ¥1^1-2 ^ 2 0.3c. s OBS l->2 p2jr[<^1|P1^2|^2>]2 -fi Enrico Fermi Nobel Prize. 1938 R + hv-> *R *R-> R + hv ^2(*R)>2 -OBS P allowedness of absorption or emission density of states perturbing Hamiltonian ^bock Oscillator Strength-Absorption Probability of light absorption and emission are related to the oscillator strength / A perfectly allowed transition has /= 1 Electronic () fe Orbital Overlap Orbital Symmetry Vibronic (%) Nuclear position fv Spin (S) Electron Spin fs How probable ( is close to zero. (2) Orbital symmetry forbiddenness, which results from orbital wavefunctions (involved in the transition) that overlap in space but have their overlap integral canceled because of the symmetry of the wave functions. Examples transitions in benzene, naphthalene, and pyrene. Electronic factor - Orbital overlap Long-Wavelength Absorption Bands (Corresponding to HO -» LU Transitions) of Some Typical Organic Chromophores Chromophore A,max(nm) C-C c=c c=c-c=c c=c-c=c-c=c c=o c=c-c=o c=c-c=o Benzene Pyrene Anthracene <180 180 220 260 280 350 280 260 350 380 'max Transition type 1000 10,000 20,000 40,000 20 30 10,000 200 510 10,000 g,ct 71,71 7T,7t 7t,7T n,7t n,7i 71,71 71,71 71,71' 71,71' Zero Order to First Order Through Vibronic Coupling (a) Planar All angles 120° Vibronic interaction has a small effect (b) Bent Two atoms move down, plane destroyed J Vibronic interaction significant CH vibration < H Pure p T= pure 7i,7i* sp" T = (it, 7t*-<—*- 7i, a*) «... Q Strictly planar no = Po ^0 Vibrational mixing could change the shape of the zero-order orbital and lead to slight overlap between perpendicular orbitals (e.g., V , a and V and '71*') Vibronic mixing results in state mixing Due to vibration an n, n* S1 state is no longer pure but contains a finite amount of n, n* character mixed in so the zero order wavefunction is not valid and the first order wavefunction may in fact be: first order n, 7i* -> = v|/(n, Ti*) + X\\j(n, 71*) zero order zero order n, 7i 71, 71' Mixing coefficient X = In general, X is the result of vibrational mixing (break down of Bonn-Oppenheimer approximation) Result of vibrational - electronic mixing (vibronic coupling) T n^jt*1 n^jt*1 nn* transition forbidden n2jt2 Jt*° As per Bonn-Oppenheimer approximation I n7C* transition becomes weakly allowed n2jx2 jx*° Vibration mixes the states, no longer pure states Absorption and emission spectra Vibrational structure due to vibrational mixing av ~ 0.001 i—i—i—i—|—i—i—i—i—|—i—i—i—i—|—i—i—i—i—|—i—i—i—i—|—i—i—i—i—|—i—i—i—i—f 350 400 450 500 550 600 650 A. (nm) Symmetry based selection rules g g The absorption spectra of conjugated diencs in Intensities of Electronic Transitions in Molecular Spectra the vacuum ultra-violet (1) TTT rt . _, , . ... _ _ , _ t . _. v ' III. Organic Molecules with Double Bonds. Conjugated Dienes By W. C. Price and A. D. Walsh robert s mulliken Physical Chemistry Laboratory, Cambridge Ryerson Physical Laboratory, University of Chicago, Chicago, Illinois (Received December 9, 1938) (Communicated by Ii. G. W. Norrish, F.R.8.—Received 14 August 1939) Selection Rules (Electronic part) Orbital Symmetry (717c*, e.g., benzene, pyrene) The two orbitals involved in the transition can't have the same symmetry, i.e., g to g or u to u transition is forbidden Symmetry can be destroyed by vibration and these symmetry forbidden transitions can become weakly allowed due to vibrational mixing. Probability of Absorption and Emission Probability of light absorption is related to the oscillator strength/ Theoretical oscillator . Experimental strength / ~ ^.oXlU Js CIV absorption Area under s vs. wavenumber plot Emission follows the same rules as absorption Relationship between absorption intensity (and fluorescence lifeti Strickler and Berg "Relationship between Absorption Intensity and Fluorescence Lifetime of Molecules" J. Chem. Phys. 1962, 37, 814. Strickler-Berg relation The relation of the radiative lifetime of the molecule and the absorption coefficient over the spectrum n: refractive index of medium v: position of the absorption maxima in wavenumbers [cm-1] S : absorption coefficient Tn : radiative lifetime Same Rules for Excitation <& De-excitation I Us-1 ) +hv AE = *E - E0 = hv -E0 ■hv Example Transition type i max 109 p-Terpheny] S^tt.tt*) - -S0 3 x 104 1 108 Perylene Sj^tt*) - -S0 4 x 104 10" -1 107 1,4-Di methyl-benzene Sj(7r,7r*) - -S0 7 x 102 io- -2 106 Pyrene Si(n,7T*) - -S0 5 x 102 10" -3 105 Acetone Si(n,7r*) - -S0 10 10" -4 Radiative 0 _9_2 _ _2 rate constant £e = 3 x 10 v0j£dv*v0f 1/T° = ke° ~smaxAv2 ~104emax Experimental and Calculated Radiative Lifetimes for Singlet-Singlet Transitions Compound t° (Xl09) t(x109) Anthracene 13.5 16.7 Perylenec 4.1 4.6 9,10-Diphenylanthracene 8.9 8.8 Acridone 14.9 14.1 Fluorescein 4.7 4.0 9-Aminoacridine 14.6 14.3 Rhodamine B 6.0 6.0 Acetone 10,000 1,000 Perfluoroacetone 10,000 5,000 Benzene 140 600 Electronic spectra of larger molecules An atom A diatomic (or other /\ |arge molecule small) molecule Distance R Shapes of Absorption Spectra: medium dependent u C i-i O (c) Aqueous solution 450 500 550 Wavelength, nm 600 N Franck-Condon principle and vertical transitions Franck-Condon Principle: Vibronic Transitions J. Franck E. Condon 1882-1964 1902-1974 Nobel Prize, 1925 The ground state (E0) supports a large number of vibrational energy levels. At room temperature, only the lowest vibrational level is populated, and electronic transitions originate from the v=0 vibrational level. Franck-Condon principle is based on the fact that electrons move faster than nuclei that are heavier. Internuclear Distance Franck-Condon principle An electronic transition occurs without changes in the positions of the nuclei in the molecules and its environment QM harmonic oscillator QM anharmonic oscillator Vibrational overlap integral decides the intensity of absorption Relative position of energy surfaces and Franck-Condon principle control the shape of the absorption and emission spectra Relative position of energy surfaces and Franck-Condon principle control the shape of the absorption and emission spectra co (D C LU Vertical or Franck-Condon allowed transitions 'XY 0^0 The most probable Franck-Condon transition v (cm ) Spectrum broadened by solvent interactions CD C LU Compressed excited state 'XY 0 -> 2 The most probable Franck-Condon transition 0^2 0^3 0^0 Spectrum broadened by solvent interactions o) B -*■ X + Y dissociation *R 'XY Continuum of absorption (0->6, 0^7, etc.) v (cm 1) Photoablation & Lasik use this part of the spectrum v (cm ) v (cm ) Stoke's shift: Absorption and Emission Spectra (a) Absorption Characteristic of upper state Fluorescence Characteristic of lower state • The shortest wavelength in the fluorescence spectrum is the longest wavelength in the absorption spectrum i_ CD C CD Wavelength G.G. Stokes (1819-1903) Electronic excited state Electronic ground state Owing to a decrease in bonding of the molecule in its excited state compared to that of the ground state, the energy difference between S0 and St is lowered prior to fluorescence emission. This is known as Stoke's shift. Absorption and Emission Spectra Mirror Image Rule, Franck-Condon Principle, and Stoke's sh Nuclear Coordinates Iaaaaaaaa/^ t 1 I v=10 v=4 XY https: //www, yo utube.com / wa tc h ? v=U LCTTxe H160 &t=0s Absorption Absorption Emission Excitation 500 ~\—I—I—I—f—I—r 300 350 X (nm) 50 0 Vavilov's rule The quantum yield of fluorescence (and the quantum yield of phosphorescence) are independent of initial excitation energy. Emission originates from the lowest vibrational level. Singlet-Tri plet Crossing and Phosphorescence Triplet State and Phosphorescence &. N. Lewis Kasha • S. Vavilov A. Terenin Porter Pioneering Publications [Contribution from the Chemical Laboratoř v of the University of California) Reversible Photochemical Processes in Rigid Media. A Study of the Phosphorescent State By Gilbert N. Lewis, David Lipkin and Theodore T. Magel paramagnetism of the phosphorescent state Chemical Laboratories of the University of California Berkblkv, California Gilbert X. Lewis m. Calvin Received June 16, 1945 {Contribution from the Chemical Laboratory of the University of California] Phosphorescence and the Triplet State By Gilbert N. Lewis and M. Kasha 'Contribution from the Chemical Laboratory of the University of California! Phosphorescence in Fluid Media and the Reverse Process of Singlet-Triplet Absorption By Gilbert N. Lewis and M. Kasha Photomagnetism. Determination of the Paramagnetic Susceptibility of a Dye in Its Phosphorescent State* G. n. Lewis, Iff. Calvin, and m. Kasha! Department of Chemistry, University of California, Berkeley, California (Received December 16, 1948) photomagnetism of triplet states of organic molecules Paramagnetic Resonance Absorption in Naphthalene in Its Phosphorescent State* Clyde A. Hutchison, Jr., and Billy W. Mangum! Enrico Fermi Institute for Nuclear Studies and Department of Chemistry, University of Chicago, Chicago, Illinois (Received August 8, 1958) Triplet States in Solution George Porter and Maurice W. Windsor Department of Physical Chemistry, University of Cambridge, Cambridge, England (Received August 19, 1953) sensitized phosphorescence in organic solutions at low temperature ENERGY TRANSFER BETWEEN TRIPLET STATES By A. Terenin and V. Ermolaev Photochemical Laboratory, Section of Chemical Sciences, Academy of Science of U.S.S.R. Received 2\st March, 1956 By Dr. D. F. EVANS Physical Chemistry Laboratory, Oxford Classic references on triplet state and heavy atom effect 1. JACS., 63,3005,(1941). 1. J. Chem. Phys., 29, 952 (1958) 2. JACS., 64, 1916,(1942). 2. JACS, 82, 5966 (1960) 3. JACS., 66,2100,(1944). 3. J. Chem. Phys, 32, 1261 (1960) 4. JACS., 66, 1579,(1944). 4. J. Mol. Spectroscopy, 6, 58 (1961) 5. JACS., 67, 994,(1945). 5. J. Phys. Chem, 66, 2499 (1962) 6. JACS., 67, 1232, (1945). 6. J. Chem. Phys, 39, 675 (1963) 7. Chem. Rev., 47, 401 (1947) 7. J. Chem. Phys, 40, 507 (1964) 8. J. Chem. Phys., 17, 905 (1949) 8. Photochem. Photobiology, 3, 269 (1964) 9. J. Chem. Phys., 17, 1182 (1949) 9. J. Chim. Phys, 61, 1147 (1964) 10. J. Chem. Phys, 17, 804 (1949) 10. Trans. Faraday Soc, 62, 3393 (1966) 11. J. Chem. Phys., 20, 71 (1952) 11. Chem. Rev., 66, 199(1966) 12. Nature, 176, 777,(1955). 12. J. Chem. Ed., 46, 2(1969) 13. J. Chem. Soc., 1351,(1957). 13. JACS, 114, 3883 (1992) Singlet-Triplet Transitions Role of Spin-Orbit Coupling T V-' Si Spin-Orbit coupling mixes the states, no longer pure states Observed Zero-point Motion- . _ Rate Constant Limited Rate Constant "Fully Allowed Rate" ( ' ' ^obs, = *max X /c x /v x /s Prohibition to maximal Prohibition factors due to changes in caused by "selection rules" electronic, nuclear, or spin configuration Absorption and Emission SlNGIET (a) Absorption (b) Re-cmission (c) Fluorescence id) Phosphorescence cm Phosphorescence T,--So 0-0 Band MnglW-tnptel spliRing 1 1 III Anthracene S0 T1 T1 ~* so £max~104 S } I £max~10-4 '» « i 'I ! 1 i •■III /': «\ ill / \ / " 1 '■ Vi U' 1 / '. i i \ i/ r- / -i i \ 300 (0,4) (0,2) 400 (0,0) (0,2) 500 600 700 X (nm) —>- (0,4) (0,3) (0,1) (0,1) (0,3) v=4 v=3 v=2 i/=1 v=0 (0,0) tl (0,0) sj v=4 v=3 v=2 i/=1 v=0 v=4 v=3 v=2 v=-\ v=Q v=4 v=3 v=2 v=^ v=0 • Precursor state (Si) has short lifetime • Generally not susceptible to quenching Phosphorescence: • Low radiative rate constant, 10-6 to 10 S" • Precursor state (Ti) has long lifetime • Very much susceptible to quenching • Emission quantum yield depends on Si to Tj crossing Organic Glass for Phosphorescence VISCOSITY OF LOW TEMPERATURE GLASSES (Adapted from Greenspan and Fischer m) Solvent Approximate viscosity in poise at - 180°C l-Propanol/2-propanol (2:3) 6 x 1012 Ethanol/methanol 2 x 1012 Ethanol/methanol 4- 4.5 % water — Ethanol/methanol + 9% water — Iso-octane/isononane 3 x 1010 Methylcyclohexane/cis/trans-decalin 1 x 10" Methylcyclohexane/toluene 7 x 109 Methylcyclohexane-isohexanes (3:2) 3 x 106 Methylcyclohexane/methylcyclopentane 2 x 105 Methylcyclohexane/iso-pentane — Methylcyclohexane-iso-pentane (1:3) 1 x 103 2-Methylpentane 7 x 104 2-Methyl tetrahydrofuran 4 x 107 Ether/iso-pentane/ethanol (5:5:2) 9 x 103 • Be chemically inert • Have no absorption in the region of optical pumping • Have a large solubility for the studied material • Be stable (don't crack) to the action of light • Have a good optical quality Emission Quantum Yield Source Detector Sample Emission Quantum Yield (O) # of photons emitted # of photons absorbed Ground State (S0) Singlet Excited State (SJ hv ^ Competition with fluorescence S0 + hv i ahz. Si k L 0 k k ML 0 '1 -f *f>*.c £(So^Ti) /cp S/cTS ©@© ©®@ 0/ = (^/+^c+^c+-)[^l] 1 Lifetime 1/x ke 8maxAv 10 £max Radiative lifetime Excited State Decay phosphorescence Radiative Decay intersystem crossing A delayed fluorescence Excitation Non-emissive Decay Non-radiative Decay 0 = # of photons emitted # of photons absorbed Factors Controlling Quantum Yield of Fluorescence Rigid vs non-rigid molecules Kasha's rule "The emitting level of a given multiplicity is the lowest excited level of that multiplicity" Kasha, Characterization of Electronic Transitions in Complex Molecules, Faraday Soc. Discussion 9, 14-19 (1950) Michael Kasha (1920-2013). Fluorescence occurs only from Si to S0; Phosphorescence occurs only from Tj to S0; Sn and Tn emissions are extremely rare. Energy Gap Law Exceptions |Afcsof>tion Emsaon CO Azuftene MVV Absorption T T 300 tM X(nm) 500 S2 (80.9 kcoi/molt) kc(S2-SO S, (40.9 kcol/mote) Hie(SrS0) So M W « 1.4 x 10 7 k|{8i-S0) = 1.3 OO6 k(C(s2-s, ; « ? * io8 k(C!SrS0) = 1.2 MO M. Kasha; G. Viswanath, Confirmation of the anomalous fluorescence of azulene. J. Chem. Phys. 1956, 24, 51A. Ordering of excited states depends on chain length tat* rat*. 7t** . rat*- JtJt* . Jt** JUT*. Jt**. 2500 3000 3500 4000 4500 R. L. Christensen et. al., J. Phys. Chem. 1990, 94, 7429 Exceptions R. L. Christensen et. al., J. Phys. Chem. 1990, 94, 7429 T. Gilbro, R. S. H. Liu, et. al., J. Luminescence, 1992, 57, 11 RETURN TO ISSUE < PREV ARTICLE NEXT > A The effect of wavelength on organic photoreactions in solution. Reactions from upper excited states N. J. Turro, V. Ramamurthy, W. Cherry, and W. Farneth © Cite this: Chem. Rev. 1978.78,2.125-145 Article Views Altmetric Share Add to Export Publication Date: April 1,1978 - Q77 1 QA f—\ /—"\ https://doi.org/10.1021/cr60312a003 Oil I 00 {^j{fftj{KSJ rights it permissions ✓Subscribed learn about these metrics Q ACS Legacy Archives Fluorescence and Phosphorescence from Higher Excited States of Organic Molecules Takao Itoh View Author Information v © CK« this: Chem. Rev. 2012.112,8.4541 -4568 Publication Date: May 16, 2012 « https://doi.org/10.1021/cr200166m Copyright © 2012 American Chemical Society rights & permissions Subscribed Article Views Altmetric Citations 11919 - 206 LEARN ABOUT THESE METRICS CHEMIC4L_. $ Cite This: Chem. Rev. 2017.117.13353-13381 pubs.acs.org/CR Breaking the Kasha Rule for More Efficient Photochemistry Alexander P. Demchenko/ Vladimir I. Tomin,* and Pi-Tai Chou*' Palladin Institute of Biochemistry, National Academy of Sciences of Ukraine, 9 Leontovicha Street, Kyiv 01030, Ukraine 'institute of Physics, Pomeranian University in Slupsk, ul. Arciszcwskicgo, 22b, Slupsk 76-200, Poland sDcpartment of Chemistry, National Taiwan University, 1 Roosevelt Road Section 4, Taipei 106, Taiwan REVIEWS Pyrene as an exemplar of excimer formation 56 Why excited state complexes are more stable? Collisional separation N N One electron stabilized (+) One electron destabilized (-) Two electrons stabilized (2+) Net stabilization = one electron Two electrons destabilized (2-) 71 N Two electrons stabilized (2+) Net stabilization - 0 © ® Discrete vibrations of excited monomer AE Discrete vibrations of ground-state monomer 00 X I Monomer absorption Monomer emission Exciplex absorption (absent) ■ex Exciplex emission 1.5 c CD ■| 1.0 CD o CD o w CD o "O CD N "CO E 0.5 0.0 Excited state complexes: Exciplexes Pyrene Monomer fluorescence 12mM 350 400 450 N' Pyrene diethylaniline exciplex Exciplex fluorescence In methylcyclohexane solution 500 550 —f 600 c o "w E CD Albert F. Weiler Pulse Py DMA-*— DMA+ Py*«—excitation of Py (b) 20.0 22.5 25.0 X (nm) v(x103cm"1) TICT Emission LE state (S-|, planar, partial CT) Adiabatic -► photoreaction TICT state (S.,, twisted, full CT) c o CO E CD c III N 3 -..n^ 3 c III N TICT 300 400 500 Wavelength (nm) - H N=C- -N N uuu 'SCH, N = C NC CH, SCHS (349 nm) (413 n Delayed Fluorescence Intersystem crossing Delayed thermal fluorescence Thermal equilibration Fig. 1.11 Illustrating production of delayed thermal fluorescence (DTF). 20 Fluo Delayed Fluorescence Eosin Y More Fluo 0O3O High Temp ■OC3b i/r ■Q040 Low Temp Types of emissions □ Fluorescence □ Phosphorescence □ Emission from upper excited states □ Excimer emission □ Exciplex emission □ TTCT emission □ Delayed emission Photoluminescence of Solutions: With Applications to Photochemistry and Analytical Chemistry C A: Parker 1968 Third Edition Principles of Fluorescence Spectroscopy Joseph R.Lakowicz Bernard VaWvr arxJ ( WIUY-VCH Mirio N. Bcb<'N- M © / .-IS) •*NH 3© Low fluorescence © H-iN- /3N7 © 0? ©Vh © §N©> High fluorescence Use of Excimer Emission in Ca2+ Sensing Xakamura et al. J. Phys. Chem. B> 2001,i 05, 2923 + A fluorescent host with anthracene moiety at each end of a linearpolyether chain 4> Upon addition of Ca2+fluorescence spectrum changes from monomer emission to excimer emission Chalfie, Shimomura and Tsien The Nobel Prize in Chemistry 2008 was awarded for the discovery and development of the Martin Chalfie Osamu Shimomura Roger Y. Tsien Columbia University Marine Biological Laboratory University of California, and Boston University Medical School San Diego The Nobel Prize in Chemistry 2008 www.nobelprize.org Fluorescent Protiens □ Green fluorescent proteins can be expressed in living organisms Rabbit expressing GFP Modifications of Green Fluorescent Protein Mutants = Mutations in the amino acid sequence can be exploited to regulate the absorption and emission properties of the chromophore Tyr66 H?0 Ser&5 Gly67 H°OVf° o Y HO 2H ^Y^n-^OH 0 +H + ^Vr o T <_) O 00 UJ cr o 3> 1.0 0.5h £ 0 Q. CL u. u-CO <-> '/V) v4 0. Q. 0. U-u. u. cc o >- E M 1 i i 300 400 500 600 Q LU M _I < CC o 400 500 600 700 WAVELENGTH (nm)