500 likes | 603 Views
Band designation in Chapter 5. Fermi Resonance (2 vib levels). Normal Modes. 3N-6 3N-5 (Linear). (3.1). (stationary states). (3.9). (3.10). SPECTROSCOPY OVERVIEW. upper state denoted by single apostrophe lower “ “ “ double “.
E N D
Fermi Resonance (2 vib levels)
Normal Modes 3N-6 3N-5 (Linear)
(3.1) (stationary states) (3.9) (3.10)
SPECTROSCOPY OVERVIEW upper state denoted by single apostrophe lower “ “ “ double “ ro-vibronic transition (electronic) Vibrational transition Rotational transition
v’ J’ v’’ J’’
4 g
intersystem crossing nonradiative decay absorption fluorescence phosphorescence S = 0 S = 1 or S = 1 S = 0 Franck-Cendon factor Hönl-London factor (1927)
Terminology Vibrational transitions 2 2 hot band Overtone (due to anharmonicity) 1 1 Combination band fundamental + 0 0 v1 Normal modes v1 v2
Rotation – Vibration bands (p. 90) 13 Transition v’ , J’ – v’’ , J’’ upper lower emission absorption J’ = J’’ + 1 R – branch J’ = J’’ Q – branch J’ = J’’ – 1 P – branch J’ = J” + 1 J’ = J” v’ J’ = J” - 1 Q R P J” v” Δv = ± 1 ΔJ = 0 (some cases) ±1 Δv = arbitrary for different e states
I2 v1= 213.2 cm-1 T = 300 K (= 208.7 cm-1) vibrational population
coupling of degenerate vibration N2O doubling to rotation
Pure sine wave Finite life time (3.48) quantum life time Natural line width collision life time Lorentz line width V V + W (3.52) Quantum veresion
4 (3.79) (Frequency shift) (3.48) (3.51) (collision frequency)
5 Doppler + Lorentz In dimensionless units