This series contains materials that support the education mission of the Department of Chemistry.
Submissions from 2024
On the Exact Helium Wave Function Expansion, II, an exponential modulated form, Carl W. David
Submissions from 2022
On the Exact Helium Wave Function Expansion, Carl W. David
The phase diagram of a non-ideal mixture’s p − v − x 2-component gas=liquid representation, including azeotropes, Carl W. David
The van der Waals mixture construct of a p-x two-component gas=liquid phase diagram, Carl W. David
Submissions from 2020
H-atom Ladder Operator Revisited, Carl W. David
Submissions from 2019
The van der Waals Fluid’s liquid vapor coexistence locus, using Maxima/Gnuplot, Carl W. David
Submissions from 2018
Heat and Work, the First Law of Thermodynamics from the Boltzmann POV, Carl W. David
Infra-Red Microwave Spectra, Overtones, Degeneracy and Thermal Populations all in one diagram, Carl W. David
Spontaneity, Carl W. David
The Commutator of the Runge Lenz Vector with other operators of the H-atoms physics using Maxima, Carl W. David
The Legendre Transformation for beginning Thermodynamics students, Carl W. David
The van der Waals Fluid's liquid vapor coexistence locus, Carl W. David
Errata for Manuscript #34, Carl W. David and Jan Siroky
Submissions from 2017
Avoiding the cubic equation in finding the van der Waals Fluid's vapor pressures, Carl W. David
Submissions from 2016
Is the Maxwell construction correct in predicting the van der Waals fluid's vapor pressure?, Carl W. David
Revisiting the FencePlot for the Maxwell Construction of a van der Waals Fluid, Carl W. David
Verwiebe's "3-D" Ice phase diagram reworked, Carl W. David
Submissions from 2015
Errata for Tensor of Moment of Inertia (52) manuscript, Carl W. David
Fugacity Examples 2: The fugacity of a “hard-sphere” semi-ideal gas and the van der Waals gas, Carl W. David
Plotting the van der Waals Fluid in pseudo-3D and the Maxwell Construction, Carl W. David
The van der Waals Equation as a cubic, Carl W. David
Submissions from 2013
Transition Metals as Tools to Probe the Electronic Properties of Porphyrinoids, Jillian Worlinsky
Submissions from 2009
1s_A 1s_B Overlap Integrals, Analytic and Maple Approches, Carl W. David
A More Sophisticated Treatment of Collisions, Carl W. David
A Review of Helium Hamiltonians, Carl W. David
Carnot Cycles: Traditional and Stefan Boltzmann, and the First Planck Argument, Carl W. David
Constructed Response Answers in a Multiple-Choice Universe, Carl W. David
Continued Fraction Solutions to Hermite's, Legendre's and Laguerre's Differential Equation, Carl W. David
Frobenius Solution for Legendre's Equation, Rodrigue's Formula and Normalization, Carl W. David
Guessing Harmonic Oscillator Wavefunctions Using Maple, Carl W. David
Hierarchical Subject Inter-relations in Physical Chemistry, Carl W. David
Lee O. Case's "Elements of the Phase Rule", Chapter 1, One component systems, Carl W. David
Lee O Case's "Elements of the Phase Rule", Chapter 2, Carl W. David
Lee O Case's "Elements of the Phase Rule", Chapter 3, Carl W. David
Lee O Case's "Elements of the Phase Rule", Introduction and Explanation, Carl W. David
L'Hopital's Rule in Chemistry: Irreversible Morphing into Reversible Isothermal Expansions, Carl W. David
More Than You Ever Cared to Know About Solution Thermodynamics, Carl W. David
MO visualization of Pi Orbitals, Carl W. David
Multiple-Choice Testing in Science and Technology Courses, Carl W. David
Rationale for Studying Physical Chemistry, Carl W. David
The Driven Harmonic Oscillator in Chemistry, Carl W. David
The Harmonic Oscillator's Frobenius Solution, Carl W. David
The Hartree-Fock Method Applied to Helium's Electrons, Carl W. David
The Runge0Lenz Vector (continued), Carl W. David
Triatomic Molecular Orbitals, Carl W. David
Using the Morse Potential to Understand Reaction Coördinates using Maple, Carl W. David
Submissions from 2008
Advanced Physical Chemistry Problems (II), Hydrogen Atom and Hyrdrogen Molecular Ion, Carl W. David
Advanced Physical Chemistry Problems (III), Gases and Thermodynamics (1st Law), Carl W. David
Advanced Physical Chemistry Problems (IV), Thermodynamics (2nd Law), Carl W. David
Advanced Physical Chemistry Problems (VI), Free Energies, Carl W. David
Advanced Physical Chemistry Problems (VIII), Chemical Equilibrium, Carl W. David
Advanced Physical Chemistry Problems (VII), Phase Equilibria, Carl W. David
Advanced Physical Chemistry Problems (V), Thermodynamics (ThermoChemistry), Carl W. David
Advance P. Chem. Problems (I) Populations, Partition Functions, Particle in Box, Harmonic Oscillators, Angular Momentum and Rigid Rotor, Carl W. David
Ehrenfest's Theorem, Carl W. David
Parameterizing a Simple Potential Energy Function Appropriate for Vibrational Frequencies Using Molecular Dynamics, Carl W. David
The Birge Sponer Extrapolation, Carl W. David
Submissions from 2007
Butadiene via the Huckel Scheme (using Maple), Carl W. David
DeMoivre's Theorem, Carl W. David
Guessing Solutions to the H-atom Schrodinger Equation, Carl W. David
Infinitesimal Rotations, Carl W. David
Introductory Mathematics for Quantum Chemistry, Carl W. David
LCAO-MO's are not Eigenfunctions of the H_2^+ Hamiltonian, Carl W. David
Legendre Polynomials, Dipole Moments, Generating Functions, etc.., Carl W. David
Line Integrals and Work in Thermodynamics, Carl W. David
Molecular Dynamics and the Diatomic Molecule as Harmonic Oscillator and Rigid Rotor, Carl W. David
Nitric Oxide Equilibrium, Carl W. David
Normal Modes Using Maple (Water), Carl W. David
Stirling's Approximation, Carl W. David
The Gronwall form of the Schrodinger Equation for Helium, Carl W. David
The Laplacian in Spherical Polar Coordinates, Carl W. David
The SureMath Approach to Success in Freshman Chemistry, Carl W. David
The Three Body Problem and the Runge-Lenz Equivalent Constant of the Motion, Carl W. David
Understanding Atomic (Hydrogenic) Hybrid Orbitals, Carl W. David
Understanding Atomic (Hydrogenic) Orbitals, Part 2, d-Orbitals, Carl W. David
Understanding Atomic (Hyrdogenic) Hybrid Orbitals Part 2, sp^2, Carl W. David
Understanding Molecular Orbitals; Sigma Orbitals, Carl W. David
Variational Calculation of the Hydrogen Molecular Cation Using Maple, Carl W. David
Variational Calculation of the Hydrogen Molecular Cation using Maple (II). The pi and pi-star Orbitals, Carl W. David
Submissions from 2006
A Hartree-Fock Example Using Helium, Carl W. David
A Ladder Operator Solution to the Particle in a Box Problem, Carl W. David
Alternative Formulations for Angular Momentum Operators, Cartesian and Spherical Polar Forms, Carl W. David
Aromic Units, Why We Need Them and How They Work, Carl W. David
Compact Singlet S Helium Wave functions(corrected), Carl W. David
Electrostatics for Chemists, Carl W. David
Elliptical Coordinates, Carl W. David
Eulerian Angles, Carl W. David
Fourier Series by Least Square Minimization, Carl W. David
Fourier Series, Examples and the Fourier Integral, Carl W. David
Introduction to Atomic Units, Normalization and Orthogonalization (Part 2 of a Series), Carl W. David
Invitation to Magnetism and Magentic Resonance, Carl W. David
Invitation to Magnetism and Magentic Resonance, More on Magnetic Resonance, Carl W. David
Laguerre Polynomials, an Introduction, Carl W. David
Legendre Polynomials and Angular Momentum, Carl W. David
Molecular Mechanics of Water Monomer, Carl W. David
Pauli Spin Matrices, Carl W. David
Rotations, Precursor to Rotational Spectroscopy, and Group Theory, Carl W. David
The Hamiltonian and Schrodinger Equation for Helium's Electrons (Hylleraas), Carl W. David
The Harmonic Oscillator, a Review of Classical and Elementary Quantum Mechanics, Carl W. David
The Harmonic Oscillator, The Hermite Polynomial Solutions, Carl W. David