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Can CP Be Less Than CV?, Yingbin Ge, Samuel L. Montgomery, Gabriel L. Borrello Apr 2021

Can CP Be Less Than CV?, Yingbin Ge, Samuel L. Montgomery, Gabriel L. Borrello

All Faculty Scholarship for the College of the Sciences

Can CP be less than CV? This is a fundamental question in physics, chemistry, chemical engineering, and mechanical engineering. This question hangs in the minds of many students, instructors, and researchers. The first instinct is to answer “Yes, for water between 0 and 4 °C” if one knows that water expands as temperature decreases in this temperature range. The same question is asked in several Physical Chemistry and Physics textbooks. Students are supposed to answer that water contracts when heated at below 4 °C in an isobaric process. Because work is done to the contracting water, less …


Using A Spreadsheet To Solve The SchröDinger Equations For The Energies Of The Ground Electronic State And The Two Lowest Excited States Of H2, Yingbin Ge, Robert C. Rittenhouse, Jacob C. Buchanan, Benjamin Livingston May 2014

Using A Spreadsheet To Solve The SchröDinger Equations For The Energies Of The Ground Electronic State And The Two Lowest Excited States Of H2, Yingbin Ge, Robert C. Rittenhouse, Jacob C. Buchanan, Benjamin Livingston

All Faculty Scholarship for the College of the Sciences

We have designed an exercise suitable for a lab or project in an undergraduate physical chemistry course that creates a Microsoft Excel spreadsheet to calculate the energy of the S0 ground electronic state and the S1 and T1 excited states of H2. The spreadsheet calculations circumvent the construction and diagonalization of the Fock matrix and thus can be accomplished by any undergraduate chemistry student with basic calculus skills. The wave functions of the S0, S1, and T1 states of H2 are constructed from the symmetry-adapted bonding and antibonding molecular …