Frobenius Solution for Legendre's Equation, Rodrigue's Formula and Normalization

The Frobenius solution to Legendre/s equation is developed in detail as is Rodrigue's formula, which is employed to normalize Legendre polynomials.

The Hartree-Fock Method Applied to Helium's Electrons

The difficulties of applying the Hartree-Fock method to many body problems is illustrated by treating Helium's electrons up to the point where tractability vanishes. Second, the problem of applying Hartree-Fock methods to the helium atom's electrons, when they are constrained to remain on a sphere, is revisited. The 6-dimensional total energy operator is reduced to a 2-dimensional one, and the application of that 2-dimensional operator in the Hartree-Fock mode is discussed.

The Harmonic Oscillator's Frobenius Solution

The Frobenius solution to the differential equations associated with the harmonic oscillator (QM) is carried out in detail.

Continued Fraction Solutions to Hermite's, Legendre's and Laguerre's Differential Equation

The continued fraction method for solving differential equations is illustrated using three famous differential equations used in quantum chemistry.

Aromic Units, Why We Need Them and How They Work

Quantum Chemistry is usually carried out using Atomic Units, so a careful discussion of these units is warranted.

Electrostatics for Chemists

This is an introduction to electrostatics written for those interested in dipole moments, induced dipole moments, etc..

Eulerian Angles

Euler's angles are used to describe rotation using independent coordinates. They are useful in rotation spectroscopy studies, hence this introduction.

Compact Singlet S Helium Wave functions(corrected)

This is a corrected version of the Phys. Rev. A 74,14501 (2006) article. The result is improved slightly from that in the original paper.

Butadiene via the Huckel Scheme (using Maple)

The Huckel Molecular Orbtial method is used to treat the MO's of butadiene. The method employs analytical tools and Maple.

Nitric Oxide Equilibrium

The explicit formulas for following the passage to chemical equilibrium are derived.

Advance P. Chem. Problems (I) Populations, Partition Functions, Particle in Box, Harmonic Oscillators, Angular Momentum and Rigid Rotor

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

A Review of Helium Hamiltonians

Helium Hamiltonian transformations are discussed in extreme detail.

More Than You Ever Cared to Know About Solution Thermodynamics

These readings are a compendium of earlier works put together and corrected for errors. The subject is solution thermodynamics, based on the one dimensional binary solution as "extended" to three dimensions.

Lee O. Case's "Elements of the Phase Rule", Chapter 1, One component systems

One component systems are treated from the point of view of the Gibbs' phase rule.

Constructed Response Answers in a Multiple-Choice Universe

A scheme is introduced which allows computer readable multiple choice forms used in traditional examinations to be employed for constructed response items.