Mirror Symmetry
The Mother of all Crystal Symmetries
Series: Springer Series in Solid-State Sciences; 200;
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Product details:
- Publisher Springer
- Date of Publication 2 April 2025
- Number of Volumes 1 pieces, Book
- ISBN 9789819983636
- Binding Paperback
- No. of pages224 pages
- Size 235x155 mm
- Language English
- Illustrations 99 Illustrations, black & white; 47 Illustrations, color 700
Categories
Short description:
This graduate-level textbook deals with different aspects of plane mirrors and mirror-related symmetries. It provides us with some new ways of understanding symmetries in crystals and the mirror combination schemes. The inclusion of topics such as the Wigner?Seitz unit cell, reciprocal lattice, Brillouin zones, diffraction of crystals, etc., based on the mirror combination scheme, are extremely helpful in understanding many other concepts in crystallography. A mirror is the only fundamental symmetry in crystals, and all other permissible symmetries in crystalline solids can be derived from suitable combinations of mirrors, called derived symmetries. A rudimentary knowledge of symmetry in crystallography is essential to students, researchers, and professionals in many subjects in science and technology: physics, chemistry, mathematics, molecular biology, geology, metallurgy, and particularly materials science and mineralogy.
MoreLong description:
This graduate-level textbook deals with different aspects of plane mirrors and mirror-related symmetries. It provides us with some new ways of understanding symmetries in crystals and the mirror combination schemes. The inclusion of topics such as the Wigner?Seitz unit cell, reciprocal lattice, Brillouin zones, diffraction of crystals, etc., based on the mirror combination scheme, are extremely helpful in understanding many other concepts in crystallography. A mirror is the only fundamental symmetry in crystals, and all other permissible symmetries in crystalline solids can be derived from suitable combinations of mirrors, called derived symmetries. A rudimentary knowledge of symmetry in crystallography is essential to students, researchers, and professionals in many subjects in science and technology: physics, chemistry, mathematics, molecular biology, geology, metallurgy, and particularly materials science and mineralogy.
Table of Contents:
1. Fundamental Concepts Related to a Plane Mirror.- 2. Mirror: The Only Fundamental Symmetry in Crystals.- 3. Mirror Combination Scheme in Direct Lattice.- 4. Mirror Combination Scheme in Reciprocal Lattice.- 5. Importance of d-Spacing in Diffraction of Crystals.- 6. Study of Diffraction Results of Some Cubic Crystals.- 7. Possibility of.- 8. Translational Symmetry (if any) in Crystals.- 9. Resolution of Existing Discrepancies, Ambiguities and Confusions.- 10. Fundamental Crystallography.
