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Abstract
Vibrational analysis of polyatomic molecules requires tools with the capability to construct the system and display the normal modes. Mini-Lab, developed in this thesis work, is a 3D visualization tool and vibration analyzer that serves both educational and research needs. The goal is to help the user visualize the atoms and bonds, compute the normal modes for the system, and generate the animated vibrational pattern. Users can experiment with different masses and bonds to construct a vibration system and understand the normal modes when studying harmonic oscillation or small vibrations in classical mechanics. This tool has been used in research that analyzes the vibration of nanocrystals. Images of the molecule configuration and