4. Crystal Systems

2024
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Author: Rick Ubic
Published in: Crystallography and Crystal Chemistry
Publisher: Springer International Publishing

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Abstract

The chapter 'Crystal Systems' delves into the seven crystal systems—triclinic, monoclinic, orthorhombic, tetragonal, trigonal, hexagonal, and cubic—each defined by unique symmetries that impose specific constraints on lattice constants. Triclinic crystals, for instance, require no special symmetry, while monoclinic crystals have a twofold axis or mirror symmetry that fixes two lattice angles at 90°. Orthorhombic crystals have all angles at 90°, and tetragonal crystals have two equal lattice vectors. Cubic crystals require four triads, and hexagonal crystals have a sixfold axis. The chapter highlights the importance of symmetry over lattice constants in determining crystal systems, offering a thorough exploration of each system's properties and constraints.

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Notes

The universe is built on a plan the profound symmetry of which is somehow present in the inner structure of our intellect.

–Paul Valéry

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Metadata
Appendix

Title: Crystal Systems
Author: Rick Ubic
Publisher: Springer International Publishing
Book: Crystallography and Crystal Chemistry
Print ISBN: 978-3-031-49751-3

Electronic ISBN: 978-3-031-49752-0

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-49752-0_4

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