Alternative Formulations for Angular Momentum Operators, Cartesian and Spherical Polar Forms

The conversion between representations of angular momentum in spherical polar and cartesian form is discussed.

DeMoivre's Theorem

DeMoivre's theorem is of great utility in some parts of physical chemistry and is re-introduced here.

Ehrenfest's Theorem

A one dimensional presentation of Ehrenfest's theorem is presented.

Advanced Physical Chemistry Problems (VIII), Chemical Equilibrium

This is a set of P. Chem. problems posed at a slightly higher level than the normal textbook level, for students who are continuing in the study of this subject.

Using the Morse Potential to Understand Reaction Coördinates using Maple

The interactions employed in the “linear” reaction A(g)+BC(g) -> AB(g) + C(g) in a “one dimensional world” can be used to illustrate the “reaction coördinate”, using Maple, in a manner which allows students to inspect potential energy surfaces, make contour maps of those surfaces, and conceptually construct the “reaction coördinate” by tracing the local minimum path on the surface created.“one dimensional world” can be used to illustrate the “reaction coördinate”, using Maple, in a manner which allows students to inspect potential energy surfaces, make contour maps of those surfaces, and conceptually construct the “reaction coördinate” by tracing the local minimum path on the surface created.

Multiple-Choice Testing in Science and Technology Courses

Wide spread and continuing use of multiple-choice testing in technical subjects is leading to a mindset amongst students which is antithetical with actual use of intellect.

Triatomic Molecular Orbitals

If elementary Quantum Chemistry stops at diatomic molecules, some students may be left with false impressions concerning how one builds polyatomic molecule's LCAO-MOs. This reading discusses building such molecular orbitals from atomic orbitals centered at different spatial coordinates.

The Birge Sponer Extrapolation

The Birge Sponer extrapolation is explained using examples.

The Driven Harmonic Oscillator in Chemistry

The molecular dynamical simulation of the normal vibrational mode of water which involves H-O-H angle deformation, when driven by an external force, can be used to see how a driven harmonic oscillator, classically, is associated with the infra-red spectrum of water (and the absorption for this particular normal mode).

Lee O Case's "Elements of the Phase Rule", Introduction and Explanation

This out of print 1939 manuscript, updated, is added to the literature with slight additions

The Runge0Lenz Vector (continued)

We continue our discussion of the Runge-Lenz vector in a quantum mechanical context. The traditional form of the Runge-Lenz vector is obtained, and the commutation relations between the Runge-Lenz vector, the Hamiltonian, and the Angular Momentum are obtained using Maple.

Lee O Case's "Elements of the Phase Rule", Chapter 3

This is the last (third) chapter of the phase rule text, again altered by the author, addressing 3 and 4 compnent systems.

Legendre Polynomials, Dipole Moments, Generating Functions, etc..

A standard treatment of aspects of Legendre polynomials is treated here, including the dipole moment expansion, generating functions, etc..

Invitation to Magnetism and Magentic Resonance

This paper constitutes an elementary introduction to magnetism and spin resonance.

The Wave Equation for Stringed Instruments

An elementary derivation of the wave equation as applied to violin strings is given.