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Separation of Motion QM. Separation Vibration Rotation.

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Presentation on theme: "Separation of Motion QM. Separation Vibration Rotation."— Presentation transcript:

1 Separation of Motion QM

2 Separation Vibration Rotation

3  = (4  /3ħc)  n  e  m  2  (N m -N n )  (  o -  ) 1 2 3 4 1.Square of the transition moment  n  e  m  2 2.Frequency of the light  3.Population difference (N m - N n ) 4.Resonance factor - Dirac delta function  (0) = 1

4  = (4  /3ħc)  n  e  m  2  (N m -N n )  (  o -  ) 1 Fermi’s Golden Rule Dipole Moment Matrix Elements

5  = (4  /3ħc)  n  e  m  2  (N m -N n )  (  o -  ) 1 Fermi’s Golden Rule

6 μ = q.r + - r Dipole Moments

7 CO 2 Vibrations

8 Einstein Coefficients nn mm

9  = (4  /3ħc)  n  e  m  2  (N m -N n )  (  o -  ) 1 2 3 4 1.Square of the transition moment  n  e  m  2 2.Frequency of the light  3.Population difference (N m - N n ) 4.Resonance factor - Dirac delta function  (0) = 1

10 Frequency ●-----●

11 Problem 3 Devise a simple experiment using fairly everyday things to estimate the frequency of a light source …or alternatively devise an experiment to determine the wavelength and assume c = 30000kms -1

12  = (4  /3ħc)  n  e  m  2  (N m -N n )  (  o -  ) 1 2 3 4 1.Square of the transition moment  n  e  m  2 2.Frequency of the light  3.Population difference (N m - N n ) 4.Resonance factor - Dirac delta function  (0) = 1

13 http://en.wiki pedia.org/wi ki/Boltzmann _constant Boltzmann

14 nn mm oo N m = N o e -∆E/kT where ∆E = E m – E o

15 nn mm oo N m = N o e -∆E/kT where ∆E = E m – E o

16 Maser

17  = (4  /3ħc)  n  e  m  2  (N m -N n )  (  o -  ) 1 2 3 4 1.Square of the transition moment  n  e  m  2 2.Frequency of the light  3.Population difference (N m - N n ) 4.Resonance factor - Dirac delta function  (0) = 1

18 Dirac delta function δ (0) 1. Infinitely high 2. Infinitely narrow 3. Area = unity

19 Resonance commons.wikimedia.org

20 Millennium Bridge

21 Tacoma

22 ABC Rotation of a Diatomic Molecule

23


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