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2024 | OriginalPaper | Chapter

5. Lattice Systems

Author : Rick Ubic

Published in: Crystallography and Crystal Chemistry

Publisher: Springer International Publishing

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Abstract

One possible way of categorizing crystals is by the symmetry of their lattice. Where a crystal system is one of seven ways to categorize crystals based on the symmetry of the crystal (cubic, hexagonal, trigonal, tetragonal, orthorhombic, monoclinic, triclinic), a lattice system is one of seven ways to categorize crystals based on the symmetry of their lattice (cubic, hexagonal, rhombohedral, tetragonal, orthorhombic, monoclinic, triclinic).

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Appendix
Available only for authorised users
Footnotes
1
A Hamiltonian is an operator corresponding to the sum of the kinetic energies plus the potential energies for all the particles in a system.
 
2
\( \left|\boldsymbol{a}\right|=\sqrt{\boldsymbol{a}\bullet \boldsymbol{a}}=\sqrt{a^2\cos (0)}=a \).
 
3
Note that in a Cartesian axis system, Gij reduces to δij and so r2 = (qx − px)2 + (qy − py)2+ (qz − pz)2.
 
4
After a brief but intense panic.
 
Metadata
Title
Lattice Systems
Author
Rick Ubic
Copyright Year
2024
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_5

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