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OverviewGROUP THEORY AND ITS APPLICATIONS explains in detail how to determine the symmetry operations and symmetry elements of different molecules and then goes on to present how to determine the character tables of different groups with examples illustrating the procedure in full detail. Group theory is an abstract mathematical tool that underlies the study of symmetry and invariance. By using the concepts of symmetry and group theory, it is possible to obtain the members of complete set of known basis functions of the various irreducible representations of the group. In practice this is achieved by applying the projection operators to the linear combinations of atomic orbital (LCAO) when the valence electrons are tightly bound to the ions, to orthogonalized plane waves (OPW) when valence electrons are nearly free and to the other given functions that are suitable to a particular system under consideration. In solid state physics, the group theory is indispensable in the context of finding the energy bands of electrons in solids. It can also be applied to electron emission spectroscopy to derive basis functions by projection operator method to calculate currents like in photoemission or photofield emissions. Group theory has many applications in physics and chemistry, for example, this is used to classify crystal structures, the symmetry of molecules and to determine physical properties such as polarity, spectroscopic properties useful for Raman spectroscopy and infrared spectroscopy and to construct molecular orbitals. It is written for physicists at an introductory level, keeping in view that a beginner will be able to understand the concepts relevant to the treatment of problems in physics. Full Product DetailsAuthor: Prasanta Kumar Patra , Ram Kumar ThapaPublisher: Alpha Science International Ltd Imprint: Alpha Science International Ltd ISBN: 9781842659472ISBN 10: 1842659472 Pages: 194 Publication Date: 30 November 2017 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction / Group Theory / Character Tables for Point Groups / Basis Functions by using Projection Operator Method / Applications of Group Theory / References / Index.ReviewsAuthor InformationCentre for Science Education, North-Eastern Hill University, Shillong, Meghalaya Tab Content 6Author Website:Countries AvailableAll regions |