Lecture 6 Radiative Transition in Atoms, Molecules & Insulators/Semiconductors
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1 Lecture 6 Radiative Transition in Atoms, Molecules & Insulators/Semiconductors Read: FQ 4, FS 3 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 1
2 Textbook 1: M. Fox Optical Properties of Solids (2 nd ed, Oxford) FS We ll cover a good portion of FS + selected modern topics Online pdf (1 st ed) seems to be available (google) Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 2
3 Textbook 2: M. Fox Quantum Optics (Oxford) FQ We ll cover part of FQ+suppl topics Available online from Purdue Library Website Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 3
4 Now move on to quantum (semiclassical) molecule Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 4
5 Semiclassical Light-Matter interaction: Einstein Coefficients (Planck blackbody) (FQ Ch4/FS App-B) Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 5
![Fermi Golden Rule Radiative Transition Rates (DOS of final state: light (photon) +matter [neglect if discrete])](/docs-images/78/77338815/images/6-1.jpg "X-polarized: Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.")
6 Fermi Golden Rule Radiative Transition Rates (DOS of final state: light (photon) +matter [neglect if discrete]) X-polarized: Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 6
7 Selection Rules (even/odd) (orbital) Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 7
8 Transition matrix element Fluorescence phosphorescence forbidden transition Metastable state Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 8
9 Also can engineer DOS g to control transition rates! cavity Photonic crystal (bandgap)/ Metamaterials Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 9
10 Molecules & molecular solids Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 10
11 Jablonski Diagram Singlet SO coupling Triplet Singlet Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 11
12 25, LiRb: Theoretical potential energy curves 20, (3) 1 Σ (1) 1 П Energy (cm -1 ) 15, , (2) 3 Σ (2) 1 Σ (1) 3 П LIF (1) 3 Σ 5, excitation (X) 1 Σ R (a 0 ) Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 12
13 Molecular Spectroscopy in a heat-pipe ( 7 Li 85 Rb) Cooling water Heaters Cooling water Laser LIF PMT Rb 300 C Li 550 C Rb 300 C λ-meter Monochromator (A) Laser Induced Fluorescence (LIF) (B) Excitation Spectroscopy Laser LIF Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 13
14 Laser Induced Fluorescence (LIF) From low v levels of B 1 Π state Korek et al., Chem Phys Dutta et al., Chem Phys Lett (2011), doi: /j.cplett Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 14
15 Intensity (Arb. units) Intensity (arb. units) Intensity (arb. units) Intensity (arb. units) PHYS Fluorescence from successively higher vib. (1) 1 П states Excitation Laser: cm -1 Excitation Laser: cm -1 Excitation Laser: cm Excitation Laser: cm -1 Transition: X(0,19) to (1) 1 П(0,20) Wavenumber (cm -1 ) Transition: X(0,15) to (1) 1 П(1,16) Transition: X(0,22) to (1) 1 П(2,23) Transition: X(0,40) to (1) 1 П(3,41) Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 15 P R P v R
16 Franck-Condon Overlap of Vibronic state Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 16
17 Photo-association laser Purdue University Spring 2016 Prof. Yong P. Chen Lecture 6 (1/28/2016) Slide 17
18 PA rate of 7 Li near FR I = 1.65 W/cm 2 v = 83 T ~ 10 µk 10-8 K p (cm 3 /s) a > 0 a < B (G) ~10 4 K P (cm 3 /s) B (G) v"= 82 v"= 83 v"= 84 v = 84 v = 83 v = 82 M.Junker et al., PRL 2008 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 18
19 Why the zero? Rate depends on ground state wavefunction (Franck- Condon) 2S 1/2 + 2P 1/2 v R c r E big R~ f(r c ) 2 2S 1/2 + 2S 1/2 r small Bohn and Julienne PRA 60, 414 (1999). Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 6 (1/28/2016) Slide 19
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