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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Shape Design And Optimization For 3d Printing, Yahan Zhou Mar 2016

Shape Design And Optimization For 3d Printing, Yahan Zhou

Doctoral Dissertations

In recent years, the 3D printing technology has become increasingly popular, with wide-spread uses in rapid prototyping, design, art, education, medical applications, food and fashion industries. It enables distributed manufacturing, allowing users to easily produce customized 3D objects in office or at home. The investment in 3D printing technology continues to drive down the cost of 3D printers, making them more affordable to consumers. As 3D printing becomes more available, it also demands better computer algorithms to assist users in quickly and easily generating 3D content for printing. Creating 3D content often requires considerably more efforts and skills than creating …


Construction Of Multi-State Potential Energy Surfaces For Spectroscopy And Dynamics, Phalgun Lolur Jan 2016

Construction Of Multi-State Potential Energy Surfaces For Spectroscopy And Dynamics, Phalgun Lolur

Doctoral Dissertations

"This dissertation is about construction and visualization of multi-state Born-Oppenheimer potential energy surfaces which are essential for studying spectroscopy and dynamics. A potential energy surface is a mathematical function that represents the energy of a system as a function of its molecular geometry. The Born-Oppenheimer approximation enables us to solve the Schrödinger equation by separating the nuclear and electronic motions. Construction of potential energy surfaces has become a basic and crucial operation for chemists in order to compute various electronic states of molecules for understanding the spectroscopy, kinetics and dynamics of molecules. These methods have been used to successfully (i) …