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Numerical Algorithms for Quantum Mechanical Systems Modeling

This repository contains implementation for the modeling of moleculars using the Minimal basis set (STO-3G) of atoms, and the caluclation of energy by Hartree Fock.

Repository Struture

  • Chem279-Fall2022-KevinF-HW
    • Subdirectories:
      • README.md: this file, documentation on the conceptual introduction to the modeling structures used for Computational Quantum Systems.
      • HW1: Potential Energy Functions, Forces, and Local Optimization
      • HW2: Analytical and Numerical Integration for Overlap Integrals
      • HW3: Extended Huckel model
      • HW4: SCF Energy implementation
      • HW5: Analytical Gradient of SCF Energy
      • project: Vibrational Analysis of Huckel Model

Final Assignment:Vibrational Analysis

The final deliverable for this repository is a adaptation to perform vibrational analysis to obtain the vibrational frequencies and the normal modes of a molecule at its optimized geometry. This is achieved by evaluating the hessian matrix by finite differences, and transforming to mass-weighted coordinates and diagonilized to determine eigenvalues. The resulting vibrational frequencies can be comparedagainst experimental infrared results.