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Published byProsper Thomas Modified over 9 years ago
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Separation of Motion QM
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Separation Vibration Rotation
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= (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
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= (4 /3ħc) n e m 2 (N m -N n ) ( o - ) 1 Fermi’s Golden Rule Dipole Moment Matrix Elements
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= (4 /3ħc) n e m 2 (N m -N n ) ( o - ) 1 Fermi’s Golden Rule
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μ = q.r + - r Dipole Moments
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CO 2 Vibrations
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Einstein Coefficients nn mm
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= (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
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Frequency ●-----●
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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
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= (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
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http://en.wiki pedia.org/wi ki/Boltzmann _constant Boltzmann
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nn mm oo N m = N o e -∆E/kT where ∆E = E m – E o
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nn mm oo N m = N o e -∆E/kT where ∆E = E m – E o
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Maser
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= (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
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Dirac delta function δ (0) 1. Infinitely high 2. Infinitely narrow 3. Area = unity
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Resonance commons.wikimedia.org
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Millennium Bridge
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Tacoma
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ABC Rotation of a Diatomic Molecule
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