principles of inorganic materials design || appendix 2
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APPENDIX 2
The 47 Possible Forms Distributed Among the Different Crystal Systems1
CrystalClass
SymmetryElements2
Forms Occurring in theRespective Crystal Class
Representative Inorganic/Mineral Substances
Triclinic1 E Pedion Ca8B18Cl4 . 4H2O1̄ E, i Pinacoid MnSiO3
Monoclinic
2 E, C2 Sphenoid, pedion, pinacoid FeAl2(SO4)4 . 22H2Om E, sh Sphenoid, pedion, pinacoid CaMg(AsO4)F2/m E, C2, I, sh Prism, pinacoid As2S3
Orthorhombic
222 E, C2, C02, C02 Disphenoid, prism, pinacoid ZnSO4 . 7H2Omm2 E, C2, sv, sv Pyramid, prism, dome, pinacoid,
pedionBaAl2Si3O10 . 2H2O
mmm E, C2, C02, C02sv,sv, sh
Dipyramid, prism, pinacoid Sulfur
(Continued)
Principles of Inorganic Materials Design, Second Edition. By John N. Lalena and David A. ClearyCopyright # 2010 John Wiley & Sons, Inc.
565
CrystalClass
SymmetryElements2
Forms Occurring in theRespective Crystal Class
Representative Inorganic/Mineral Substances
Tetragonal
4 E, 2C4, C2 Tetragonal pyramid, tetragonalprism, pedion
None known
4̄ E, 2S4, C2 Tetragonal disphenoid, tetragonalprism, pinacoid
Ca2B(OH)4AsO4
4/m E, 2C4, C2, i, 2S4,sh
Tetragonal dipyramid, tetragonalprism, pinacoid
PbMoO4
422 E, 2C4, C2, 2C02,2C200
Tetragonal trapezohedron,tetragonal dipyramid,ditetragonal prism,tetragonal prism, pinacoid
Pb2CO3Cl2
4mm E, 2C4, C2, 2sv,2sd
Ditetragonal pyramid, tetragonalpyramid, ditetragonal prism,tetragonal prism, pedion
Pb2Cu(OH)4Cl2
4̄2m E, C2, 2C02, 2sd, 2S4 Tetragonal scalenohedron,tetragonal disphenoid,tetragonal bipyramid,ditetragonal prism, tetragonalprism, pinacoid
Cu2FeSnS4
4/mmm E, 2C4, C2, 2C02,2C002, i, 2S4, sh,2sv, 2sd
Ditetragonal dipyramid,tetragonal dipyramid,ditetragonal prism, tetragonalprism, pinacoid
Rutile
Trigonal (Rhombohedral)
3 E, 2C3 Trigonal pyramid NaIO4 . 3H2O3̄ E, 2C3, i, 2S6 Rhombohedron, hexagonal
prism, pinacoidFeTiO3
32 E, 2C3, 3C02 Trigonal trapezohedron,rhombohedron, trigonaldipyramid, ditrigonal prism,hexagonal prism, trigonal prism,pinacoid
Low quartz
3m E, 2C3, 3sv Ditrigonal pyramid, trigonalpyramid, hexagonal pyramid,ditrigonal prism, trigonal prism,hexagonal prism, pedion
KBrO3
3̄m E, 2C3, 3C02, Hexagonal scalenohedron,rhombohedron, hexagonaldipyramid, dihexagonalprism, hexagonal prism,pinacoid
Corundum
(Continued)
APPENDIX 2566
CrystalClass
SymmetryElements2
Forms Occurring in theRespective Crystal Class
Representative Inorganic/Mineral Substances
Hexagonal
6 E, 2C6, 2C3, C2 Hexagonal prism, pedion Nepheline6̄ E, 2C6, sh, 2S3 Trigonal dipyramid, trigonal
prism, pinacoidNone
6/m E, 2C6, 2C3, C2, i,2S3, 2S6, sh
Hexagonal dipyramid, hexagonalprism, pinacoid
Apatite
622 E, 2C6, 2C3, C2,3C02, 3C002
Hexagonal trapezohedron,hexagonal dipyramid,dihexagonal prism, hexagonalprism, pedion
High quartz
6mmm E, 2C6, 2C3, C2,3sv, 3sd
Dihexagonal pyramid, hexagonalpyramid, dihexagonal prism,hexagonal prism, pedion
Wurtzite
6̄m2 E, 2C3, 3C02, sh,2S3, 3sv,
Ditrigonal dipyramid, trigonaldipyramid, hexagonaldipyramid, ditrigonal prism,hexagonal prism, trigonal prism,pinacoid
BaTiSi3O9
6/mmm E, 2C6, 2C3, C2,3C02, 3C002 i, 2S3,2S6, sh, 3sv, 3sd
Dihexagonal dipyramid,hexagonal dipyramid,dihexagonal prism, hexagonalprism, pinacoid
Beryl
Cubic
23 E, 8C3, 3C2 Tetartoid, deltohedron,tristetrahedron, pyritohedron,tetrahedron, dodecahedron, cube
NaBrO3
m3 E, 8C3, 3C2, i, 8S6,3sh
Diploid, trisoctahedron,trapezohedron, pyritohedron,octahedron, dodecahedron, cube
Pyrite
432 E, 8C3, 3C2, 6C2,6C4
Gyroid, trisoctahedron,trapezohedron, tetrahexahedron,octahedron, dodecahedron, cube
None
4̄ 3m E, 8C3, 3C2, 6sd,6S4
Hextetrahedron, deltohedron,tristetrahedron, tetrahexahedron,tetrahedron, dodecahedron, cube
Sphalerite
m3m E, 8C3, 3C2, 6C2,6C4, 6sd, i, 8S6,3sh, 3sh, 6S4
Hexoctahedron, trisoctahedron,trapezohedron, tetrahexahedron,octahedron, dodecahedron, cube
Diamond
1See, Buerger, M. Elementary Crystallography, MIT Press, 1978, pp. 112–168.2E ¼ identity element, i ¼ inversion center, Cn ¼ n-fold proper rotation axis, Sn ¼ n-fold improper rotation(rotoreflection) axis, sv ¼ vertical mirror plane (reflection plane contains principal axis), sh ¼ horizontalmirror plane (reflection plane ? to principal axis), sd ¼ diagonal mirror plane (reflection plane containsprincipal axis and bisects the angle between the two-fold axes normal to the principal axis).
APPENDIX 2 567
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