Chemistry Education MaterialsCopyright (c) 2015 University of Connecticut All rights reserved.
http://digitalcommons.uconn.edu/chem_educ
Recent documents in Chemistry Education Materialsen-usThu, 30 Apr 2015 17:15:35 PDT3600The van der Waals Equation as a cubic
http://digitalcommons.uconn.edu/chem_educ/88
http://digitalcommons.uconn.edu/chem_educ/88Tue, 14 Apr 2015 07:46:22 PDT
The van der Waals (from his thesis of 1873) equation is a cubic in the molar volume. Since this is the first equation of state studied in chemistry more complicated than the ideal gas equation, it is noteworthy that the solution of this cubic is rarely if ever addressed. When (lowering the temperature) the two imaginary roots coalesce with the real root of the van der Waals equation we have the critical point. At Kelvin temperatures below Tc. the equation has three real roots; we explore obtaining those roots to aid in the Maxwell construction required to obtain the vapor pressure. These notes are intended to aid the reader whose long-unused calculus training has atrophied through professional neglect or for students whose comfort level with calculus is minimal, hence the long tedious algebraic manipulations
]]>
Carl W. DavidConstructed Response Answers in a Multiple-Choice Universe
http://digitalcommons.uconn.edu/chem_educ/87
http://digitalcommons.uconn.edu/chem_educ/87Tue, 29 Sep 2009 10:32:09 PDT
A scheme is introduced which allows computer readable multiple choice forms used in traditional examinations to be employed for constructed response items.
]]>
Carl W. DavidHierarchical Subject Inter-relations in Physical Chemistry
http://digitalcommons.uconn.edu/chem_educ/86
http://digitalcommons.uconn.edu/chem_educ/86Tue, 29 Sep 2009 10:32:08 PDT
Students mystified by the progression of topics in Physical Chemistry may gain insight into their path through the material if acquainted with the diagrams presented and discussed herein.
]]>
Carl W. DavidLee O Case's "Elements of the Phase Rule", Chapter 3
http://digitalcommons.uconn.edu/chem_educ/85
http://digitalcommons.uconn.edu/chem_educ/85Thu, 21 May 2009 10:30:20 PDT
This is the last (third) chapter of the phase rule text, again altered by the author, addressing 3 and 4 compnent systems.
]]>
Carl W. DavidLee O Case's "Elements of the Phase Rule", Chapter 2
http://digitalcommons.uconn.edu/chem_educ/84
http://digitalcommons.uconn.edu/chem_educ/84Thu, 21 May 2009 10:01:06 PDT
The second chapter of the Case text on the phase rule, this time dealing with two component systems, added to by the author, is presented here.
]]>
Carl W. DavidLee O. Case's "Elements of the Phase Rule", Chapter 1, One component systems
http://digitalcommons.uconn.edu/chem_educ/83
http://digitalcommons.uconn.edu/chem_educ/83Thu, 21 May 2009 10:01:04 PDT
One component systems are treated from the point of view of the Gibbs' phase rule.
]]>
Carl W. DavidThe Runge0Lenz Vector (continued)
http://digitalcommons.uconn.edu/chem_educ/82
http://digitalcommons.uconn.edu/chem_educ/82Thu, 23 Apr 2009 09:47:53 PDT
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.
]]>
Carl W. DavidLee O Case's "Elements of the Phase Rule", Introduction and Explanation
http://digitalcommons.uconn.edu/chem_educ/81
http://digitalcommons.uconn.edu/chem_educ/81Thu, 23 Apr 2009 09:47:52 PDT
This out of print 1939 manuscript, updated, is added to the literature with slight additions
]]>
Carl W. DavidMO visualization of Pi Orbitals
http://digitalcommons.uconn.edu/chem_educ/80
http://digitalcommons.uconn.edu/chem_educ/80Thu, 23 Apr 2009 09:45:16 PDT
In the spirit of trying to convert people to understanding atomic orbitals centered elsewhere than the origin, we continue the discussion of visualizing molecular orbitals, so called LCAO-MO, using various plotting tricks in Maple.
]]>
Carl W. DavidMore Than You Ever Cared to Know About Solution Thermodynamics
http://digitalcommons.uconn.edu/chem_educ/79
http://digitalcommons.uconn.edu/chem_educ/79Thu, 23 Apr 2009 09:45:15 PDT
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.
]]>
Carl W. DavidA Review of Helium Hamiltonians
http://digitalcommons.uconn.edu/chem_educ/78
http://digitalcommons.uconn.edu/chem_educ/78Thu, 02 Apr 2009 08:59:15 PDT
Helium Hamiltonian transformations are discussed in extreme detail.
]]>
Carl W. DavidContinued Fraction Solutions to Hermite's, Legendre's and Laguerre's Differential Equation
http://digitalcommons.uconn.edu/chem_educ/77
http://digitalcommons.uconn.edu/chem_educ/77Tue, 31 Mar 2009 11:44:36 PDT
The continued fraction method for solving differential equations is illustrated using three famous differential equations used in quantum chemistry.
]]>
Carl W. DavidL'Hopital's Rule in Chemistry: Irreversible Morphing into Reversible Isothermal Expansions
http://digitalcommons.uconn.edu/chem_educ/76
http://digitalcommons.uconn.edu/chem_educ/76Tue, 31 Mar 2009 10:30:49 PDT
L'Hopital's Rule is discussed in the cvase of an irreversible isothermal expansion.
]]>
Carl W. DavidTriatomic Molecular Orbitals
http://digitalcommons.uconn.edu/chem_educ/75
http://digitalcommons.uconn.edu/chem_educ/75Fri, 27 Mar 2009 04:23:57 PDT
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.
]]>
Carl W. DavidCarnot Cycles: Traditional and Stefan Boltzmann, and the First Planck Argument
http://digitalcommons.uconn.edu/chem_educ/74
http://digitalcommons.uconn.edu/chem_educ/74Fri, 20 Mar 2009 06:14:25 PDT
The Stefan Boltzmann equation is obtained using a non-traditional Carnot Engine. In addition, the original Planck argument for radiation density is given.
]]>
Carl W. DavidThe Harmonic Oscillator's Frobenius Solution
http://digitalcommons.uconn.edu/chem_educ/73
http://digitalcommons.uconn.edu/chem_educ/73Thu, 12 Mar 2009 11:58:11 PDT
The Frobenius solution to the differential equations associated with the harmonic oscillator (QM) is carried out in detail.
]]>
Carl W. DavidThe Hartree-Fock Method Applied to Helium's Electrons
http://digitalcommons.uconn.edu/chem_educ/72
http://digitalcommons.uconn.edu/chem_educ/72Thu, 05 Mar 2009 05:59:03 PST
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.
]]>
Carl W. DavidMultiple-Choice Testing in Science and Technology Courses
http://digitalcommons.uconn.edu/chem_educ/71
http://digitalcommons.uconn.edu/chem_educ/71Tue, 03 Mar 2009 11:00:16 PST
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.
]]>
Carl W. DavidRationale for Studying Physical Chemistry
http://digitalcommons.uconn.edu/chem_educ/70
http://digitalcommons.uconn.edu/chem_educ/70Thu, 26 Feb 2009 18:19:23 PST
The various rationales for studying physical chemistry, and specifically the theoretical component thereof are presented in what is hoped in a coherent package.
]]>
Carl W. David1s_A 1s_B Overlap Integrals, Analytic and Maple Approches
http://digitalcommons.uconn.edu/chem_educ/69
http://digitalcommons.uconn.edu/chem_educ/69Thu, 26 Feb 2009 07:05:58 PST
The calculation of overlap between adjacent orbitals (not on the same center) requires a slight facility with calculus which is quite instructive. That calculation is presented here.
]]>
Carl W. David