Appendixes
A.1 Setting of crystallographic axes
Refer to Figs. A.1.1–A.1.3.
$
Figure A.1.1. Miller axes applied to crystal systems other than hexagonal (including rhombohedral trigonal) system.
Figure A.1.2. Miller–Bravais axes in the hexagonal system.
280 Appendixes
a1
(a) |
(b) |
(c) |
Figure A.1.3. Relation between hexagonal and rhombohedral (trigonal) systems.
(a) Hexagonal P lattice. (b) Relation between rhomobohedral R lattice and hexagonal P
lattice. (c) Rhombohedral R lattice.
A.2 Bravais lattices and crystal systems 281
A.2 The fourteen Bravais lattices and seven crystal systems
Refer to Figs. A.2.1 and Table A.2.1.
Figure A.2.1. The fourteen Bravais lattices.
282 Appendixes
Table A.2.1 The seven crystal systems
Crystal system |
Axial length, angles, and lattice symmetry |
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Cubic (isometric) |
a1 a2 a3, $ 90° |
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4/m |
¯ |
2/m |
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3 |
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Tetragonal |
a1 a2 % c, |
$ 90° |
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4/m |
2/m |
2/m |
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Orthorhombic |
a % b % c, |
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$ 90° |
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(c a b) |
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2/m |
2/m |
2/m |
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Monoclinic |
a % b % c, $ 90° % |
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(a b, &90°) |
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a % b % c, 90° % $ |
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(c a, $&90°) |
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2/m |
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Triclinic |
a % b % c, |
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% $% % 90° |
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(c a b) |
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¯ |
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1 |
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Trigonal |
a b % c, |
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$ 90°, 120° |
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(rhombohedral) |
a1 a2 a3, $ % 90° |
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¯ |
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1 |
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3 2/m |
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Hexagonal |
a1 a2 a3 % c, $ 90°, 120° |
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6/m |
2/m |
2/m |
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