The Interaction of Radiation and Matter - Spectroscopy

Prof. J. C. Baird

November 15, 1995

Qualitative Description of Light

Qualitative Description of the Absorption of Light by Molecules

Qualitative Description of Radiation

Qualitative Description of Radiation Continued D

Qualitative Description of Radiation Continued E

Qualitative Description of Radiation Continued F

Overheads: Qualitative Description of Spectroscopy

Orders of Magnetude: The Electromagnetic Spectrum

Orders of Magnetude: Energy and Power in a Photon

November 17, 1995

A Bit by Heisenberg on the Collapsing Wave Function Intrepretation.

Maxwell's Equations

Maxwell's Equations Continued

Maxwell's Equations Continued

Vector Potential and Polarized Light

Vector Potential and Polarized Light Continued

Vector Potential Continued

Overheads: Maxwell's Equations

Maxwell's Equations

Radiation in Free Space

Vector Potential

Definition of Circularly Polarized Light

Vector Potential Representation of Circularly Polarized Light

Circularly Polarized Light

Definition of Linearly Polarized Light

Linearly Polarized Light

Definition of Elliptical Polarized Light

Elliptical Polarized Light

November 20, 1995

Quantization of the Radiation Field

Overheads: Quantization of the Radiation Field

Commutators of the Radiation Field

Fourier Expansion of Vector Potential in a Volume

Hamiltonian for the Radiation Field

Many Radiation Oscillators

November 22, 1995

Interaction Hamiltonian A

Interaction Hamiltonian B

Interaction Hamiltonian C

Interaction Hamiltonian D

Interaction Hamiltonian E

Overheads: Interaction Hamiltonian

Minimal Coupling

Zeroth Order Wave Function

November 27, 1995

Time Dependent Schrodinger Equation

Overheads: Time Dependent Schrodinger Equation

Time Dependent Schrodinger Equation

November 29, 1995

Solution of the Time Dependent Schrodinger Equation B

Solution of the Time Dependent Schrodinger Equation C

Solution of the Time Dependent Schrodinger Equation D

Solution of the Time Dependent Schrodinger Equation E

Overheads: Solutions of the Time Dependent Schrodinger Equation

Many Particle form of the Zeroth Time Dependent Schrodinger Equation

Introduction of Momentum Like Operators

Interaction Hamiltonian

Effective Hamiltonian

Application to Spontaneous Emission

Development of Differential Equations for the Amplitudes

Coupled Time Dependent Differential Equation for the Amplitudes

A Two Level System

Time Dependence of the Two Level System Amplitudes

Solution for the Two Level System

Breit-Wigner Line Width Revealed

Sharply Peaked Photon Frequency Distribution

Spontaneous Emission Line Width & Einstein A

December 1, 1995

Phenomenological Approach to Spectroscopy A

Phenomenological Approach to Spectroscopy B

Phenomenological Approach to Spectroscopy C

Phenomenological Approach to Spectroscopy D

Phenomenological Approach to Spectroscopy E

Phenomenological Approach to Spectroscopy F

Phenomenological Approach to Spectroscopy G

Overheads: Phenomenological Approach to Spectroscopy

Interaction Hamiltonian Reviewed

Electronic and Nuclear Coordinates

Einstein A and B Coefficients

Radiation Processes Summarized

Lorentz Line Shape Function

Gaussian Line Shape Function

Phenomenological Description of the Absorption of a Beam of Light

Optical Depth

Intensity as function of Absorber and Source Profiles

Total Absorption

Detected Power from an Emission

December 4, 1995

Kinetics of Spectroscopy A

Kinetics of Spectroscopy B

Kinetics of Spectroscopy C

Molecular Spectroscopy D

Molecular Spectroscopy E

Molecular Spectroscopy F

Overheads: Kinetics and the Radiation Process

Rate Equations

Steady State

Relationship between Einstein A and B Coefficients

Saturation of a Transition

Overheads: Molecular Spectroscopy

Electronic and Nuclear Matrix Elements

Transformation of Dipole Operator to Molecular Coordinates

Electronic and Nuclear Matrix Elements

Case I n' = n

Rotational Matrix Element

Rotational Matrix Elements and Selection Rules

Explicit Rotational Matrix Elements

Transition Matrix Element

Case I n' n

December 6, 1995

The following RealAudio files were encoded at 14.4K with RealAudio 2.0b from a Radio Shack tape using Voice activation

A bit about Homework and Something about the Direction of Time

Spectroscopy of Formaldehyde B

Spectroscopy of Formaldehyde C

Spectroscopy of Formaldehyde D

Spectroscopy of Formaldehyde E

Overheads: Molecular Spectroscopy of Formaldehyde

Energy Level Schematic of Formaldehyde and Related States

Ground State and Cs Excited States of Formaldehyde

Molecular Constants of Formaldehyde

Molecular Coordinates of Formaldehyde

Molecular Coordinates of Bent, Cs, Formaldehyde

Character Table for C2v Formaldehyde

Character Table for Bent, Cs Formaldehyde

Correlation Table: Planer and Bent Formaldehyde

December 8, 1995

The following RealAudio files were encoded at 28.8K with RealAudio 2.0b1 from a Radio Shack tape recorder.

A bit about the Experimental Ramafications of the Einstein A Coefficient and more about the Spectroscopy of Formaldehyde

Generation of a Reducible Symmetry Group for Formaldehyde

Symmetries for Formaldehyde Electronic, Vibrational and Rotational States. Transition Matrix Elements.

Overheads: Symmetries of the C2v Ground State of Formaldehyde

Coordinate System for Translation, Vibration and Rotation

Example of Coordinate Transformation: Reducible Representation Matrix

Characters of the Reducible Representation

Number of Irreducible Representations in the Reducible Representation

Symmetries of Vibrational States

December 11, 1995

More about the Spectroscopy of Formaldehyde

The Spectroscopy of Formaldehyde B

The Spectroscopy of Formaldehyde C

Transition Probabilities for Formaldehyde C2v -> Cs A

Transition Probabilities for Formaldehyde C2v -> Cs B

Transition Probabilities for Formaldehyde C2v -> Cs C

Transition Probabilities for Formaldehyde C2v -> Cs D

Transition Probabilities for Formaldehyde C2v -> Cs E

The Question of Nuclear Spin Statistics and also the Question of Inversion Splittings in Cs Excited State

Overheads: Symmetries of the Cs Excited State of Formaldehyde and Transitions

Example of Coordinate Transformation: Reducible Representation Matrix Cs Formaldehyde

Reducible Representation for Cs Formaldehyde

Characters of the Reducible Representation Cs Formaldehyde

Number of Irreducible Representations in the Reducible Representation Cs Formaldehyde

Symmetries of Vibrational States in Cs Formaldehyde

Approximate Hamiltonian

Transition Matrix

Transition Matrix in the Molecular Frame Work

Electronic Transitions

Dipole Transition Matrix in Cs A

Dipole Transition Matrix in Cs B

Dipole Transition Matrix in Cs C

The Only non-zero 3j-Symbols

Explicit Values for the 3j-Symbols

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