Computational Chemistry For Second Semester Lecture notes

Computational Chemistry is a branch of chemistry that includes computer simulation computer programs (software) to assist in solving chemical problems. It uses methods of theoretical chemistry, incorporated into efficient computer programs, to calculate the structures and properties of molecules and solids.Research in theoretical and computational chemistry combines concepts from classical, quantum, and statistical mechanics with high performance computational methods to study molecular/biomolecular properties and reactions. High Performance Computing (HPC) resources including a 350 core 20 Teraflop cluster with General purpose Graphics Processor Unit (GpGPU) capabilities. Students participating in the theoretical and computational chemistry program have the opportunity to learn computational methods such as atomistic/coarse grained molecular modeling, classical molecular dynamics simulations, quantum-mechanics molecular mechanics (QM/MM) simulations, and electronic structure calculations. Emphasis is also placed on learning quantum/statistical formalisms to serve as a foundation to interpret and to extend experimental data. Areas of research include the development of highly accurate electronic structure methods, computational models to describe electron transfer reactions in biology and organic molecules, and quantitative metrics to capture biomolecular structure-function relationships. Researchers are also studying diffuse anionic states of molecular clusters and the spectroscopic properties of molecules Laboratory OfComputational ChemistryThis note covers the following topics: Semi-empirical calculation methods, elementary quantum chemistry, The Hartree-Fock Theory, relativistic theory of electronic structure, Semi-empirical calculation methods, The calculation of integrals, Electronic correlation processing: The interaction of configurations, The theory of perturbation, Coupled clusters, The renormalization group of the density matrix.

The Hartree-Fock method is the underlying approximation to nearly all methods of
computational chemistry, both ab initio and semi-empirical. Therefore, a clear understanding of
where it comes from and what it means is essential for quantum chemists.
I) General principles and definitions.
II) Energy expression for a Slater determinant wave function
III) The general Hartree-Fock equations.
IV) The Roothan Equations for closed shell molecules

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