This series contains materials that support the education mission of the Department of Chemistry.

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Submissions from 2024

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On the Exact Helium Wave Function Expansion, II, an exponential modulated form, Carl W. David

Submissions from 2022

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On the Exact Helium Wave Function Expansion, Carl W. David

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The phase diagram of a non-ideal mixture’s p − v − x 2-component gas=liquid representation, including azeotropes, Carl W. David

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The van der Waals mixture construct of a p-x two-component gas=liquid phase diagram, Carl W. David

Submissions from 2020

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H-atom Ladder Operator Revisited, Carl W. David

Submissions from 2019

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The van der Waals Fluid’s liquid vapor coexistence locus, using Maxima/Gnuplot, Carl W. David

Submissions from 2018

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Heat and Work, the First Law of Thermodynamics from the Boltzmann POV, Carl W. David

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Infra-Red Microwave Spectra, Overtones, Degeneracy and Thermal Populations all in one diagram, Carl W. David

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Spontaneity, Carl W. David

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The Commutator of the Runge Lenz Vector with other operators of the H-atoms physics using Maxima, Carl W. David

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The Legendre Transformation for beginning Thermodynamics students, Carl W. David

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The van der Waals Fluid's liquid vapor coexistence locus, Carl W. David

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Errata for Manuscript #34, Carl W. David and Jan Siroky

Submissions from 2017

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Avoiding the cubic equation in finding the van der Waals Fluid's vapor pressures, Carl W. David

Submissions from 2016

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Is the Maxwell construction correct in predicting the van der Waals fluid's vapor pressure?, Carl W. David

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Revisiting the FencePlot for the Maxwell Construction of a van der Waals Fluid, Carl W. David

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Verwiebe's "3-D" Ice phase diagram reworked, Carl W. David

Submissions from 2015

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Errata for Tensor of Moment of Inertia (52) manuscript, Carl W. David

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Fugacity Examples 2: The fugacity of a “hard-sphere” semi-ideal gas and the van der Waals gas, Carl W. David

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Plotting the van der Waals Fluid in pseudo-3D and the Maxwell Construction, Carl W. David

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The van der Waals Equation as a cubic, Carl W. David

Submissions from 2013

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Transition Metals as Tools to Probe the Electronic Properties of Porphyrinoids, Jillian Worlinsky

Submissions from 2009

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1s_A 1s_B Overlap Integrals, Analytic and Maple Approches, Carl W. David

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A More Sophisticated Treatment of Collisions, Carl W. David

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A Review of Helium Hamiltonians, Carl W. David

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Carnot Cycles: Traditional and Stefan Boltzmann, and the First Planck Argument, Carl W. David

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Constructed Response Answers in a Multiple-Choice Universe, Carl W. David

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Continued Fraction Solutions to Hermite's, Legendre's and Laguerre's Differential Equation, Carl W. David

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Frobenius Solution for Legendre's Equation, Rodrigue's Formula and Normalization, Carl W. David

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Guessing Harmonic Oscillator Wavefunctions Using Maple, Carl W. David

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Hierarchical Subject Inter-relations in Physical Chemistry, Carl W. David

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

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Lee O Case's "Elements of the Phase Rule", Chapter 2, Carl W. David

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Lee O Case's "Elements of the Phase Rule", Chapter 3, Carl W. David

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Lee O Case's "Elements of the Phase Rule", Introduction and Explanation, Carl W. David

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L'Hopital's Rule in Chemistry: Irreversible Morphing into Reversible Isothermal Expansions, Carl W. David

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More Than You Ever Cared to Know About Solution Thermodynamics, Carl W. David

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MO visualization of Pi Orbitals, Carl W. David

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Multiple-Choice Testing in Science and Technology Courses, Carl W. David

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Rationale for Studying Physical Chemistry, Carl W. David

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The Driven Harmonic Oscillator in Chemistry, Carl W. David

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The Harmonic Oscillator's Frobenius Solution, Carl W. David

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The Hartree-Fock Method Applied to Helium's Electrons, Carl W. David

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The Runge0Lenz Vector (continued), Carl W. David

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Triatomic Molecular Orbitals, Carl W. David

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Using the Morse Potential to Understand Reaction Coördinates using Maple, Carl W. David

Submissions from 2008

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Advanced Physical Chemistry Problems (II), Hydrogen Atom and Hyrdrogen Molecular Ion, Carl W. David

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Advanced Physical Chemistry Problems (III), Gases and Thermodynamics (1st Law), Carl W. David

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Advanced Physical Chemistry Problems (IV), Thermodynamics (2nd Law), Carl W. David

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Advanced Physical Chemistry Problems (VI), Free Energies, Carl W. David

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Advanced Physical Chemistry Problems (VIII), Chemical Equilibrium, Carl W. David

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Advanced Physical Chemistry Problems (VII), Phase Equilibria, Carl W. David

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Advanced Physical Chemistry Problems (V), Thermodynamics (ThermoChemistry), Carl W. David

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

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Ehrenfest's Theorem, Carl W. David

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Parameterizing a Simple Potential Energy Function Appropriate for Vibrational Frequencies Using Molecular Dynamics, Carl W. David

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The Birge Sponer Extrapolation, Carl W. David

Submissions from 2007

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Butadiene via the Huckel Scheme (using Maple), Carl W. David

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DeMoivre's Theorem, Carl W. David

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Guessing Solutions to the H-atom Schrodinger Equation, Carl W. David

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Infinitesimal Rotations, Carl W. David

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Introductory Mathematics for Quantum Chemistry, Carl W. David

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LCAO-MO's are not Eigenfunctions of the H_2^+ Hamiltonian, Carl W. David

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Legendre Polynomials, Dipole Moments, Generating Functions, etc.., Carl W. David

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Line Integrals and Work in Thermodynamics, Carl W. David

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Molecular Dynamics and the Diatomic Molecule as Harmonic Oscillator and Rigid Rotor, Carl W. David

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Nitric Oxide Equilibrium, Carl W. David

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Normal Modes Using Maple (Water), Carl W. David

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Stirling's Approximation, Carl W. David

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The Gronwall form of the Schrodinger Equation for Helium, Carl W. David

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The Laplacian in Spherical Polar Coordinates, Carl W. David

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The SureMath Approach to Success in Freshman Chemistry, Carl W. David

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The Three Body Problem and the Runge-Lenz Equivalent Constant of the Motion, Carl W. David

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Understanding Atomic (Hydrogenic) Hybrid Orbitals, Carl W. David

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Understanding Atomic (Hydrogenic) Orbitals, Part 2, d-Orbitals, Carl W. David

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Understanding Atomic (Hyrdogenic) Hybrid Orbitals Part 2, sp^2, Carl W. David

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Understanding Molecular Orbitals; Sigma Orbitals, Carl W. David

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Variational Calculation of the Hydrogen Molecular Cation Using Maple, Carl W. David

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Variational Calculation of the Hydrogen Molecular Cation using Maple (II). The pi and pi-star Orbitals, Carl W. David

Submissions from 2006

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A Hartree-Fock Example Using Helium, Carl W. David

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A Ladder Operator Solution to the Particle in a Box Problem, Carl W. David

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Alternative Formulations for Angular Momentum Operators, Cartesian and Spherical Polar Forms, Carl W. David

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Aromic Units, Why We Need Them and How They Work, Carl W. David

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Compact Singlet S Helium Wave functions(corrected), Carl W. David

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Electrostatics for Chemists, Carl W. David

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Elliptical Coordinates, Carl W. David

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Eulerian Angles, Carl W. David

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Fourier Series by Least Square Minimization, Carl W. David

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Fourier Series, Examples and the Fourier Integral, Carl W. David

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Introduction to Atomic Units, Normalization and Orthogonalization (Part 2 of a Series), Carl W. David

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Invitation to Magnetism and Magentic Resonance, Carl W. David

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Invitation to Magnetism and Magentic Resonance, More on Magnetic Resonance, Carl W. David

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Laguerre Polynomials, an Introduction, Carl W. David

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Legendre Polynomials and Angular Momentum, Carl W. David

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Molecular Mechanics of Water Monomer, Carl W. David

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Pauli Spin Matrices, Carl W. David

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Rotations, Precursor to Rotational Spectroscopy, and Group Theory, Carl W. David

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The Hamiltonian and Schrodinger Equation for Helium's Electrons (Hylleraas), Carl W. David

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The Harmonic Oscillator, a Review of Classical and Elementary Quantum Mechanics, Carl W. David

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The Harmonic Oscillator, The Hermite Polynomial Solutions, Carl W. David