separation of motion qm. separation vibration rotation
TRANSCRIPT
Separation of Motion QM
Separation Vibration Rotation
= (4/3ħc) n em2 (Nm-Nn) (o-)
1 2 3 4
1. Square of the transition moment n
em2
2. Frequency of the light
3. Population difference (Nm- Nn)
4. Resonance factor - Dirac delta function (0) = 1
= (4/3ħc) n em2 (Nm-Nn) (o-)
1
Fermi’s Golden Rule
Dipole Moment Matrix Elements
= (4/3ħc) n em2 (Nm-Nn) (o-)
1
Fermi’s Golden Rule
μ = q.r
+ -r
Dipole Moments
CO2 Vibrations
Einstein Coefficients
n
m
= (4/3ħc) n em2 (Nm-Nn) (o-)
1 2 3 4
1. Square of the transition moment n
em2
2. Frequency of the light
3. Population difference (Nm- Nn)
4. Resonance factor - Dirac delta function (0) = 1
Frequency
●-----●
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
= (4/3ħc) n em2 (Nm-Nn) (o-)
1 2 3 4
1. Square of the transition moment n
em2
2. Frequency of the light
3. Population difference (Nm- Nn)
4. Resonance factor - Dirac delta function (0) = 1
http://en.wikipedia.org/wiki/Boltzmann_constant
Boltzmann
n
m
o
Nm = No e -∆E/kT
where
∆E = Em – Eo
n
m
o
Nm = No e -∆E/kT
where
∆E = Em – Eo
Maser
= (4/3ħc) n em2 (Nm-Nn) (o-)
1 2 3 4
1. Square of the transition moment n
em2
2. Frequency of the light
3. Population difference (Nm- Nn)
4. Resonance factor - Dirac delta function (0) = 1
Dirac delta function
δ(0)
1. Infinitely high
2. Infinitely narrow
3. Area = unity
Resonancecommons.wikimedia.org
Millennium Bridge
Tacoma
ABC Rotation of a Diatomic Molecule
