The
book deals with the topics that are fundamentally related to the
theoretical foundations as well as innovative quantum chemistry
applications in molecular research. It caters to advanced topics, such
as numerical solution of ordinary differential equations with spectral
methods, use of pseudopotentials in composite methods, and quantum
chemical calculations for various chemical systems, including
exploration of molecular mechanisms involved in DNA mutations, charge
carrier mobility in organic electronics, and compounds of high energy
density. This book is designed for researchers and students who seek the
application of quantum chemistry to advanced topics in materials
science, biochemistry, and molecular engineering.
This note
gives a detailed exposition to quantum chemistry, starting with the quantum
mechanics of one electron and extending to systems with two or more electrons.
It explains in detail how the principles of quantum mechanics are applied to the
description of atoms and molecules, including detailed discussions of the
Schrodinger equation and how it can be applied in simple systems. Material
offers insight into how quantum chemistry methods evolve when applied to
multi-electron systems, and thus is a good springboard for more advanced topics,
including molecular orbital theory and electronic structure methods. The note
would be especially suitable for those who have started taking quantum chemistry
and wish to become familiarized with the foundation of quantum mechanical
descriptions of matter.
This note
presents advanced methods in quantum chemistry. Large systems are of particular
interest and serve to focus on Hartree-Fock theory and Density Functional Theory
with a notable selection of practical techniques for integral evaluation and
matrix construction. The Coulomb and exchange matrices are constructed, density
matrices purify, and large data sets necessary for quantum chemistry
calculations are stored and manipulated. The book gives insight into the
problems of large quantum chemistry calculations and presents the computational
techniques developed to overcome these problems, making it a most valuable aid
to researchers concerned with large molecular systems or with computational
chemistry.