Franklin M.C. Chen | ||
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Computing Liquid-Vapor Phase Diagrams for Non-ideal Binary Mixtures
Franklin M.C. Chen, University of Wisconsin-Green Bay |
A Mathcad worksheet focused on determining vapor-liquid phase diagrams for ideal and non-ideal binary mixtures for learning about activity and activity coeeficients. Van Laar theory and the Leavenberg-Marquardt algorithm are used. | |
Exploring the Uncertainty Principle
Franklin M.C. Chen, University of Wisconsin-Green Bay |
Students uses two Gaussian functions to explore the uncertainty principle. Students build a linear combination of orthogonal particle-in-a-box eigenfunctions to represent the Gaussian functions. They discover that a Gaussian function with smaller standard deviation requires more eigenfunctions to build than that with a larger standard deviation. Students are guided to discover the relationship between position and momentum uncertainty to a given wavefunction. | |
Finding Molecular Vibrational Frequencies from HCl to SO_{2}
Franklin M.C. Chen, University of Wisconsin-Green Bay Theresa Julia Zielinski, Monmouth University |
Students learn about finding molecular vibrational frequencies through normal mode analysis and numerical solutions for simple molecule such as HCl and more complicate molecules such as CO_{2} and SO_{2}. Topics such as displacement coordinates, internal coordinates, symmetry coordinates, and their relationship are developed. | |
Learning Molecular Geometry & Symmetry Through Quantum Computations and Mathcad™ Exercises
Franklin M.C. Chen, University of Wisconsin-Green Bay |
A Mathcad template to help students learn about molecular geometry and symmetry calculations based on the coordinate datagenerated from quantum computation software such as HyperChem. The molecular coordinate data serve as excellent real-world materials for students to appreciate the applications of linear algebra and to refresh their algebra learning experiences about linear transformations learn about fundamental properties of quantum and symmetry operators. |