Symmetry and Physical Properties of Crystals

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Crystals are ubiquitous, found in natural minerals and essential components of electronic devices like semiconductors, magnetic materials, and quartz watches. A deep understanding of crystals is crucial for both research and practical applications. This book offers a comprehensive exploration of crystal symmetry at both microscopic space-group and macroscopic point-group levels. It discusses the implications of symmetry on physical properties and provides a mathematical framework using tensors. Readers will gain clarity on the conditions required for specific properties to exist based on symmetry. The geometrical representation of tensor quantities is also covered, highlighting its role in establishing key relationships. A distinctive aspect of this book is the inclusion of exercises with complete solutions in most chapters, enabling readers to assess and enhance their comprehension of the content. The target audience encompasses undergraduate and graduate students in materials science and related fields of electrical and optical engineering, as well as researchers focused on the physical properties of crystals and their applications, including piezoelectricity, electro-optics, and optical activity, along with those engaged in characterizing material structures.