79:
1759:
216:
1509:
223:
1432:
239:
90:
65:
246:
1520:
2443:
2401:
1501:
170:
56:
2396:
2376:
2272:
2386:
2366:
2356:
102:
1867:
2463:
2453:
2433:
2412:
616:
The trigonal crystal system consists of the 5 point groups that have a single three-fold rotation axis, which includes space groups 143 to 167. These 5 point groups have 7 corresponding space groups (denoted by R) assigned to the rhombohedral lattice system and 18 corresponding space groups (denoted
145:
The hexagonal crystal family consists of the 12 point groups such that at least one of their space groups has the hexagonal lattice as underlying lattice, and is the union of the hexagonal crystal system and the trigonal crystal system. There are 52 space groups associated with it, which are exactly
1439:
Hexagonal close packed (hcp) is one of the two simple types of atomic packing with the highest density, the other being the face-centered cubic (fcc). However, unlike the fcc, it is not a
Bravais lattice, as there are two nonequivalent sets of lattice points. Instead, it can be constructed from the
284:
The hexagonal unit cell for the rhombohedral
Bravais lattice is the R-centered cell, consisting of two additional lattice points which occupy one body diagonal of the unit cell. There are two ways to do this, which can be thought of as two notations which represent the same structure. In the usual
436:≠ 90°. In practice, the hexagonal description is more commonly used because it is easier to deal with a coordinate system with two 90° angles. However, the rhombohedral axes are often shown (for the rhombohedral lattice) in textbooks because this cell reveals the
1482:) often have crystal structures based on the hexagonal crystal family. Some of the more common ones are listed here. These structures can be viewed as two or more interpenetrating sublattices where each sublattice occupies the
620:
The hexagonal crystal system consists of the 7 point groups that have a single six-fold rotation axis. These 7 point groups have 27 space groups (168 to 194), all of which are assigned to the hexagonal lattice system.
617:
by P) assigned to the hexagonal lattice system. Hence, the trigonal crystal system is the only crystal system whose point groups have more than one lattice system associated with their space groups.
446:
The rhombohedral unit cell for the hexagonal
Bravais lattice is the D-centered cell, consisting of two additional lattice points which occupy one body diagonal of the unit cell with coordinates (
2302:
1646:. In most of these compounds, wurtzite is not the favored form of the bulk crystal, but the structure can be favored in some nanocrystal forms of the material.
629:
The 5 point groups in this crystal system are listed below, with their international number and notation, their space groups in name and example crystals.
1153:
711:
17:
2309:
1708:
1922:
1728:
coordinated to six nickel atoms. The structure can also be described as an HCP lattice of arsenic with nickel occupying each
1725:
134:). While commonly confused, the trigonal crystal system and the rhombohedral lattice system are not equivalent (see section
1713:
The nickel arsenide structure consists of two interpenetrating sublattices: a primitive hexagonal nickel sublattice and a
2276:
2064:
2033:
2006:
138:
below). In particular, there are crystals that have trigonal symmetry but belong to the hexagonal lattice (such as α-
408:
The
Bravais lattices in the hexagonal crystal family can also be described by rhombohedral axes. The unit cell is a
2193:
Togo, Atsushi; Chaput, Laurent; Tanaka, Isao (2015-03-20). "Distributions of phonon lifetimes in
Brillouin zones".
1676:
coordinated. The structure can also be described as an HCP lattice of zinc with sulfur atoms occupying half of the
1495:
1881:
1673:
1426:
2245:
Inorganic
Chemistry by Duward Shriver and Peter Atkins, 3rd Edition, W.H. Freeman and Company, 1999, pp.47,48.
1917:(5th ed.). Dordrecht, Netherlands: Published for the International Union of Crystallography by Springer.
1718:
2334:
1552:
997:
525:
2371:
1528:
405:). In either case, there are 3 lattice points per unit cell in total and the lattice is non-primitive.
215:
2381:
2361:
2484:
2350:
2295:
1042:
1005:
655:
222:
1639:
238:
1714:
1661:
610:
245:
1998:
1992:
2056:
2050:
2023:
1649:
In materials with more than one crystal structure, the prefix "w-" is sometimes added to the
2406:
2212:
1540:
1047:
1009:
660:
8:
2438:
1721:
412:(which gives the name for the rhombohedral lattice). This is a unit cell with parameters
2216:
2228:
2202:
1688:
767:
83:
1836:
There is only one hexagonal
Bravais lattice in two dimensions: the hexagonal lattice.
2458:
2232:
2060:
2029:
2002:
1918:
1886:
1831:
1729:
1677:
1650:
1635:
1483:
1288:
1087:
1052:
896:
875:
706:
665:
78:
31:
2160:
Structure of
Materials; An introduction to Crystallography, Diffraction and Symmetry
2220:
1752:
1692:
1623:
1440:
hexagonal
Bravais lattice by using a two-atom motif (the additional atom at about (
1057:
670:
258:
1536:
2428:
2329:
2158:
2141:
1942:
1696:
1691:). Due to this, wurtzite crystals can (and generally do) have properties such as
1631:
1627:
1619:
1479:
1386:
1186:
932:
762:
535:
163:
147:
115:
1004:) in this crystal system are listed below, followed by their representations in
2448:
2318:
2224:
2119:
1973:
1850:
1758:
1684:
1643:
1532:
1229:
1084:
810:
703:
606:
594:
540:
517:
194:
159:
123:
1664:(HCP-type). When viewed all together, the atomic positions are the same as in
1508:
2478:
2120:"Minerals in the Hexagonal crystal system, Dihexagonal Pyramidal class (6mm)"
1779:
1611:
285:
so-called obverse setting, the additional lattice points are at coordinates (
254:
In the hexagonal family, the crystal is conventionally described by a right
409:
345:), whereas in the alternative reverse setting they are at the coordinates (
230:
1665:
1504:
Wurtzite unit cell as described by symmetry operators of the space group.
1431:
1293:
602:
598:
530:
2178:
2098:
2080:
1770:
1615:
1195:
1096:
888:
855:
2254:
1860:
1736:
1519:
1513:
1340:
1234:
1092:
2442:
2400:
89:
64:
2207:
1744:
1740:
1595:
1500:
1297:
1149:
945:
941:
937:
823:
815:
771:
715:
2287:
1660:
Each of the two individual atom types forms a sublattice which is
162:: hexagonal and rhombohedral. Each lattice system consists of one
1748:
1669:
1191:
1013:
953:
949:
892:
255:
207:
1960:
Mathematical
Techniques in Crystallography and Materials Science
169:
2395:
2375:
2271:
1238:
884:
880:
819:
139:
95:
55:
1543:(in International Union of Crystallography classification) or
173:
Relation between the two settings for the rhombohedral lattice
2385:
2365:
1594:
Among the compounds that can take the wurtzite structure are
1391:
601:
in which the point groups themselves and their corresponding
106:
2355:
27:
Union of crystal groups with related structures and lattices
1654:
1607:
1603:
101:
2282:
1599:
2462:
2452:
2432:
2411:
1947:(17th ed.). New York: Chapman Hall. pp. 78–89.
1866:
1735:
Compounds adopting the NiAs structure are generally the
2081:"Crystallography and Minerals Arranged by Crystal Form"
597:: trigonal and hexagonal. A crystal system is a set of
1941:
Dana, James Dwight; Hurlbut, Cornelius Searle (1959).
1766:
The following are the members of the nickeline group:
1478:
Compounds that consist of more than one element (e.g.
1527:
The wurtzite crystal structure is referred to by the
1997:(1st ed.). Holt, Rinehart and Winston. p.
1962:. Springer Science & Business Media. p. 41.
126:, which includes two crystal systems (hexagonal and
1974:"Medium-Resolution Space Group Diagrams and Tables"
1574: : a six fold screw rotation around the c-axis
2180:International tables for crystallography volume A.
2022:Pough, Frederick H.; Peterson, Roger Tory (1998).
1724:to six arsenic atoms, while each arsenic atom is
2476:
2192:
1653:to denote the wurtzite crystal structure, as in
1523:Another representation of the wurtzite structure
2156:
2143:An introduction to mathematical crystallography
2049:Hurlbut, Cornelius S.; Klein, Cornelis (1985).
506:). However, such a description is rarely used.
1990:
2303:
2021:
1957:
593:The hexagonal crystal family consists of two
158:The hexagonal crystal family consists of two
2157:De Graef, Marc; McHenry, Michael E. (2012).
2048:
1991:Ashcroft, Neil W.; Mermin, N. David (1976).
1702:
1940:
1473:
991:
2310:
2296:
624:
36:
2206:
2176:
2166:. Cambridge University Press. p. 16.
2028:. Houghton Mifflin Harcourt. p. 62.
1936:
1934:
1420:
130:) and two lattice systems (hexagonal and
72:
49:
38:
1915:International tables for crystallography
1757:
1717:arsenic sublattice. Each nickel atom is
1580: : a mirror plane with normal {100}
1518:
1507:
1499:
1430:
168:
1984:
1709:Category:Nickel arsenide structure type
1699:, which centrosymmetric crystals lack.
1512:Another representation of the wurtzite
1470:)) associated with each lattice point.
14:
2477:
2139:
1931:
1908:
1906:
1904:
1902:
1435:Hexagonal close packed (hcp) unit cell
281:) perpendicular to the two base axes.
2291:
1489:
150:is either hexagonal or rhombohedral.
2140:Jaswon, Maurice Aaron (1965-01-01).
1912:
1825:
135:
2317:
2255:http://www.mindat.org/min-2901.html
2025:A Field Guide to Rocks and Minerals
1899:
1555:). The Hermann-Mauguin symbols in
522:Required symmetries of point group
24:
509:
153:
25:
2496:
2264:
2055:(20th ed.). Wiley. pp.
1410:The unit cell volume is given by
443:symmetry of the crystal lattice.
2461:
2451:
2441:
2431:
2410:
2399:
2394:
2384:
2374:
2364:
2354:
2270:
1865:
1496:Category:Wurtzite structure type
244:
237:
221:
214:
100:
88:
77:
63:
54:
2248:
2239:
2186:
2170:
2150:
2133:
2112:
261:unit cell with two equal axes (
2091:
2073:
2042:
2015:
1966:
1951:
1590:-directions with normal {120}.
1427:Close-packing of equal spheres
1008:or international notation and
611:Crystal system#Crystal classes
277:, which can be different from
269:), an included angle of 120° (
13:
1:
1892:
550:1 threefold axis of rotation
2335:Crystallographic point group
2146:. American Elsevier Pub. Co.
1848:
1586: : glide plane in the
1364:
1313:
1266:
1207:
1164:
1123:
1062:
907:
850:
788:
733:
681:
228:
205:
192:
7:
2177:Hitchcock, Peter B (1988).
1944:Dana's Manual of Mineralogy
1875:
1529:Strukturbericht designation
581:1 sixfold axis of rotation
18:Rhombohedral crystal system
10:
2501:
2225:10.1103/PhysRevB.91.094306
1829:
1762:The unit cell of nickeline
1706:
1683:The wurtzite structure is
1493:
1424:
1395:
1344:
1301:
1242:
1199:
1157:
1100:
957:
900:
827:
775:
719:
29:
2421:
2343:
2325:
1703:Nickel arsenide structure
1563:can be read as follows:
1033:
1030:
1027:
1024:
1021:
1016:examples, if they exist.
912:Ditrigonal scalenohedral
646:
643:
640:
637:
634:
572:
569:
552:
549:
546:
178:Hexagonal crystal family
62:
42:
2392:trigonal & hexagonal
1913:Hahn, Theo, ed. (2005).
1553:Hermann–Mauguin notation
1474:Multi-element structures
1369:Dihexagonal dipyramidal
1212:Hexagonal trapezohedral
992:Hexagonal crystal system
120:hexagonal crystal family
30:Not to be confused with
1535:hP4. The corresponding
1318:Ditrigonal dipyramidal
901:P3m1, P31m, P3c1, P31c
793:Trigonal trapezohedral
625:Trigonal crystal system
1958:Edward Prince (2004).
1763:
1726:trigonal prismatically
1715:hexagonal close-packed
1662:hexagonal close-packed
1524:
1516:
1505:
1436:
1421:Hexagonal close packed
1271:Dihexagonal pyramidal
1169:Hexagonal dipyramidal
174:
1761:
1522:
1511:
1503:
1434:
1128:Trigonal dipyramidal
172:
2279:at Wikimedia Commons
2052:Manual of Mineralogy
1067:Hexagonal pyramidal
1010:Schoenflies notation
2283:Mineralogy database
2217:2015PhRvB..91i4306T
1994:Solid State Physics
1685:non-centrosymmetric
686:Trigonal pyramidal
179:
2277:Hexagonal lattices
1978:img.chem.ucl.ac.uk
1764:
1689:inversion symmetry
1525:
1517:
1506:
1490:Wurtzite structure
1484:interstitial sites
1437:
1396:P6/mmm, P6/mcc, P6
605:are assigned to a
177:
175:
2472:
2471:
2275:Media related to
2195:Physical Review B
2099:"Crystallography"
1924:978-0-7923-6590-7
1887:Crystal structure
1873:
1872:
1832:Hexagonal lattice
1826:In two dimensions
1753:transition metals
1678:tetrahedral voids
1651:empirical formula
1642:(w-BN) and other
1636:aluminium nitride
1408:
1407:
989:
988:
897:lithium tantalate
591:
590:
252:
251:
112:
111:
32:Hexagonal lattice
16:(Redirected from
2492:
2465:
2455:
2445:
2435:
2414:
2403:
2398:
2388:
2378:
2368:
2358:
2344:Seven 3D systems
2312:
2305:
2298:
2289:
2288:
2274:
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2246:
2243:
2237:
2236:
2210:
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2183:
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2148:
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2106:
2101:. Webmineral.com
2095:
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2039:
2019:
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1981:
1970:
1964:
1963:
1955:
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1948:
1938:
1929:
1928:
1910:
1869:
1842:Bravais lattice
1839:
1838:
1821:
1815:
1809:
1803:
1797:
1791:
1785:
1776:
1693:piezoelectricity
1672:). Each atom is
1624:cadmium selenide
1480:binary compounds
1469:
1468:
1464:
1459:
1458:
1454:
1449:
1448:
1444:
1360:
1356:
1352:
1348:
1323:
1161:
1133:
1022:Space group no.
1019:
1018:
984:
980:
973:
969:
965:
961:
917:
785:
779:
743:
635:Space group no.
632:
631:
536:Bravais lattices
514:
513:
505:
504:
500:
495:
494:
490:
485:
484:
480:
475:
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470:
465:
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364:
363:
359:
354:
353:
349:
344:
343:
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334:
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329:
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323:
319:
314:
313:
309:
304:
303:
299:
294:
293:
289:
273:) and a height (
248:
241:
225:
218:
183:Bravais lattice
180:
176:
124:crystal families
122:is one of the 6
104:
92:
84:Dolomite (white)
81:
67:
58:
37:
21:
2500:
2499:
2495:
2494:
2493:
2491:
2490:
2489:
2485:Crystal systems
2475:
2474:
2473:
2468:
2422:Four 2D systems
2417:
2339:
2330:Bravais lattice
2321:
2319:Crystal systems
2316:
2267:
2262:
2261:
2253:
2249:
2244:
2240:
2191:
2187:
2175:
2171:
2163:
2155:
2151:
2138:
2134:
2125:
2123:
2118:
2117:
2113:
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2102:
2097:
2096:
2092:
2079:
2078:
2074:
2067:
2047:
2043:
2036:
2020:
2016:
2009:
1989:
1985:
1972:
1971:
1967:
1956:
1952:
1939:
1932:
1925:
1911:
1900:
1895:
1878:
1834:
1828:
1819:
1813:
1807:
1801:
1795:
1789:
1783:
1774:
1730:octahedral void
1711:
1705:
1697:pyroelectricity
1680:or vice versa.
1632:gallium nitride
1628:silicon carbide
1620:cadmium sulfide
1571:
1560:
1548:
1498:
1492:
1486:of the others.
1476:
1466:
1462:
1461:
1456:
1452:
1451:
1446:
1442:
1441:
1429:
1423:
1403:
1399:
1387:centrosymmetric
1378:
1358:
1354:
1350:
1346:
1330:
1321:
1309:
1305:
1280:
1262:
1258:
1254:
1250:
1246:
1221:
1203:
1187:centrosymmetric
1178:
1159:
1139:
1131:
1120:
1116:
1112:
1108:
1104:
1076:
1006:Hermann–Mauguin
1002:crystal classes
994:
982:
978:
971:
967:
963:
959:
933:centrosymmetric
924:
915:
867:
843:
839:
835:
831:
802:
783:
777:
763:centrosymmetric
753:
749:
741:
727:
723:
695:
627:
595:crystal systems
512:
510:Crystal systems
502:
498:
497:
492:
488:
487:
482:
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321:
317:
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311:
307:
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301:
297:
296:
291:
287:
286:
233:
210:
164:Bravais lattice
160:lattice systems
156:
154:Lattice systems
148:Bravais lattice
136:crystal systems
116:crystallography
105:
93:
82:
68:
59:
51:Lattice system
40:Crystal system
35:
28:
23:
22:
15:
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11:
5:
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2266:
2265:External links
2263:
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2111:
2090:
2072:
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2007:
1983:
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1890:
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1874:
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1863:
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1856:
1853:
1851:Pearson symbol
1847:
1846:
1843:
1830:Main article:
1827:
1824:
1823:
1822:
1816:
1812:Sobolevskite:
1810:
1804:
1798:
1792:
1786:
1777:
1704:
1701:
1644:semiconductors
1602:with up to 8%
1592:
1591:
1581:
1575:
1569:
1558:
1546:
1533:Pearson symbol
1491:
1488:
1475:
1472:
1425:Main article:
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1419:
1406:
1405:
1401:
1397:
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1311:
1307:
1303:
1302:P6mm, P6cc, P6
1300:
1291:
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1275:
1272:
1269:
1265:
1264:
1260:
1256:
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1248:
1244:
1241:
1232:
1230:enantiomorphic
1227:
1225:
1222:
1219:
1216:
1213:
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1205:
1201:
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1189:
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1129:
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1085:enantiomorphic
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986:
975:
956:
935:
930:
928:
925:
922:
919:
913:
910:
906:
905:
902:
899:
878:
873:
871:
868:
865:
862:
859:
853:
849:
848:
845:
841:
837:
833:
829:
828:P312, P321, P3
826:
813:
811:enantiomorphic
808:
806:
803:
800:
797:
794:
791:
787:
786:
780:
774:
765:
760:
758:
755:
751:
747:
744:
739:
736:
732:
731:
728:
725:
721:
718:
709:
704:enantiomorphic
701:
699:
696:
693:
690:
687:
684:
680:
679:
676:
673:
668:
663:
658:
653:
649:
648:
645:
642:
639:
636:
626:
623:
609:(see table in
607:lattice system
589:
588:
585:
582:
579:
575:
574:
571:
568:
564:
563:
560:
557:
554:
551:
548:
544:
543:
541:Lattice system
538:
533:
528:
523:
520:
518:Crystal system
511:
508:
250:
249:
242:
235:
227:
226:
219:
212:
204:
203:
200:
197:
195:Pearson symbol
191:
190:
187:
184:
155:
152:
110:
109:
98:
86:
75:
71:
70:
61:
52:
48:
47:
44:
41:
26:
9:
6:
4:
3:
2:
2497:
2486:
2483:
2482:
2480:
2464:
2460:
2457:
2454:
2450:
2447:
2444:
2440:
2437:
2434:
2430:
2427:
2426:
2424:
2420:
2413:
2408:
2405:
2402:
2397:
2393:
2390:
2387:
2383:
2380:
2377:
2373:
2370:
2367:
2363:
2360:
2357:
2352:
2349:
2348:
2346:
2342:
2336:
2333:
2331:
2328:
2327:
2324:
2320:
2313:
2308:
2306:
2301:
2299:
2294:
2293:
2290:
2284:
2281:
2278:
2273:
2269:
2268:
2256:
2251:
2242:
2234:
2230:
2226:
2222:
2218:
2214:
2209:
2204:
2201:(9): 094306.
2200:
2196:
2189:
2182:
2181:
2173:
2162:
2161:
2153:
2145:
2144:
2136:
2121:
2115:
2100:
2094:
2086:
2082:
2076:
2068:
2066:0-471-80580-7
2062:
2058:
2054:
2053:
2045:
2037:
2035:0-395-91096-X
2031:
2027:
2026:
2018:
2010:
2008:0-03-083993-9
2004:
2000:
1996:
1995:
1987:
1979:
1975:
1969:
1961:
1954:
1946:
1945:
1937:
1935:
1926:
1920:
1916:
1909:
1907:
1905:
1903:
1898:
1888:
1885:
1883:
1882:Close-packing
1880:
1879:
1868:
1864:
1862:
1859:
1858:
1854:
1852:
1849:
1844:
1841:
1840:
1837:
1833:
1817:
1811:
1805:
1799:
1793:
1787:
1781:
1780:Breithauptite
1778:
1772:
1769:
1768:
1767:
1760:
1756:
1754:
1750:
1746:
1742:
1738:
1737:chalcogenides
1733:
1731:
1727:
1723:
1720:
1716:
1710:
1700:
1698:
1694:
1690:
1687:(i.e., lacks
1686:
1681:
1679:
1675:
1674:tetrahedrally
1671:
1667:
1663:
1658:
1656:
1652:
1647:
1645:
1641:
1640:boron nitride
1637:
1633:
1629:
1625:
1621:
1617:
1613:
1612:silver iodide
1609:
1605:
1601:
1597:
1589:
1585:
1582:
1579:
1576:
1573:
1566:
1565:
1564:
1562:
1554:
1550:
1542:
1538:
1534:
1530:
1521:
1515:
1510:
1502:
1497:
1487:
1485:
1481:
1471:
1433:
1428:
1418:
1416:
1413:
1393:
1390:
1388:
1385:
1383:
1380:
1374:
1371:
1368:
1365:
1342:
1339:
1337:
1335:
1332:
1326:
1320:
1317:
1314:
1299:
1295:
1292:
1290:
1287:
1285:
1282:
1276:
1273:
1270:
1267:
1240:
1236:
1233:
1231:
1228:
1226:
1223:
1217:
1214:
1211:
1208:
1197:
1193:
1190:
1188:
1185:
1183:
1180:
1174:
1171:
1168:
1165:
1155:
1151:
1148:
1146:
1144:
1141:
1135:
1130:
1127:
1124:
1098:
1094:
1091:
1089:
1086:
1083:
1081:
1078:
1072:
1069:
1066:
1063:
1059:
1056:
1054:
1051:
1049:
1046:
1044:
1041:
1038:
1037:
1034:Space groups
1020:
1017:
1015:
1011:
1007:
1003:
999:
976:
955:
951:
947:
943:
939:
936:
934:
931:
929:
926:
920:
914:
911:
908:
903:
898:
894:
890:
886:
882:
879:
877:
874:
872:
869:
863:
860:
857:
854:
851:
846:
825:
821:
817:
814:
812:
809:
807:
804:
798:
795:
792:
789:
781:
773:
769:
766:
764:
761:
759:
756:
745:
740:
738:Rhombohedral
737:
734:
729:
717:
713:
710:
708:
705:
702:
700:
697:
691:
688:
685:
682:
678:Rhombohedral
677:
674:
672:
669:
667:
664:
662:
659:
657:
654:
651:
650:
647:Space groups
633:
630:
622:
618:
614:
612:
608:
604:
600:
596:
586:
583:
580:
577:
576:
566:
565:
562:Rhombohedral
561:
558:
555:
545:
542:
539:
537:
534:
532:
529:
527:
524:
521:
519:
516:
515:
507:
444:
442:
435:
431:
427:
423:
419:
415:
411:
406:
282:
280:
276:
272:
268:
264:
260:
257:
247:
243:
240:
236:
232:
229:
224:
220:
217:
213:
209:
206:
201:
198:
196:
193:
189:Rhombohedral
188:
185:
182:
181:
171:
167:
165:
161:
151:
149:
143:
141:
137:
133:
129:
125:
121:
117:
108:
103:
99:
97:
91:
87:
85:
80:
76:
73:
66:
60:Rhombohedral
57:
53:
50:
45:
39:
33:
19:
2409:(isometric)
2391:
2372:orthorhombic
2250:
2241:
2198:
2194:
2188:
2179:
2172:
2159:
2152:
2142:
2135:
2124:. Retrieved
2122:. Mindat.org
2114:
2103:. Retrieved
2093:
2084:
2075:
2051:
2044:
2024:
2017:
1993:
1986:
1977:
1968:
1959:
1953:
1943:
1914:
1835:
1818:Sudburyite:
1800:Langistite:
1794:Kotulskite:
1788:Freboldite:
1765:
1734:
1719:octahedrally
1712:
1682:
1659:
1648:
1593:
1587:
1583:
1577:
1567:
1556:
1544:
1526:
1477:
1438:
1414:
1411:
1409:
1025:Point group
1001:
998:point groups
995:
822:(152, 154),
638:Point group
628:
619:
615:
603:space groups
599:point groups
592:
531:Space groups
526:Point groups
445:
437:
433:
429:
425:
421:
417:
413:
410:rhombohedron
407:
283:
278:
274:
270:
266:
262:
253:
231:Rhombohedral
157:
146:those whose
144:
132:rhombohedral
131:
127:
119:
113:
2439:rectangular
2353:(anorthic)
1806:Nickeline:
1749:bismuthides
1745:antimonides
1722:coordinated
1668:(hexagonal
1666:lonsdaleite
1606:instead of
1537:space group
1531:B4 and the
1294:greenockite
2382:tetragonal
2362:monoclinic
2257:Mindat.org
2208:1501.00691
2126:2014-08-03
2105:2014-08-03
2085:Webmineral
1893:References
1845:Hexagonal
1771:Achavalite
1707:See also:
1616:zinc oxide
1494:See also:
1417:•sin(60°)
1196:vanadinite
1097:cancrinite
889:tourmaline
858:pyramidal
856:Ditrigonal
675:Hexagonal
578:Hexagonal
573:Hexagonal
234:unit cell
211:unit cell
186:Hexagonal
69:Hexagonal
46:Hexagonal
2459:hexagonal
2351:triclinic
2233:118851924
1861:Unit cell
1820:(Pd,Ni)Sb
1814:Pd(Bi,Te)
1802:(Co,Ni)As
1796:Pd(Te,Bi)
1741:arsenides
1630:(α-SiC),
1514:unit cell
1341:benitoite
1235:kalsilite
1154:laurelite
1093:nepheline
1031:Examples
904:R3m, R3c
712:carlinite
644:Examples
547:Trigonal
208:Hexagonal
43:Trigonal
2479:Category
1876:See also
1626:(CdSe),
1598:itself (
1596:wurtzite
1400:/mcm, P6
1366:191–194
1315:187–190
1298:wurtzite
1268:183–186
1243:P622, P6
1209:177–182
1200:P6/m, P6
1166:175–176
1150:cesanite
1064:168–173
946:corundum
942:hematite
938:antimony
909:162–167
852:156–161
824:cinnabar
818:, alpha-
816:abhurite
790:149–155
772:ilmenite
768:dolomite
735:147–148
716:jarosite
683:143–146
128:trigonal
74:Example
2429:oblique
2213:Bibcode
1670:diamond
1638:(AlN),
1634:(GaN),
1622:(CdS),
1618:(ZnO),
1614:(AgI),
1541:No. 186
1465:⁄
1460:,
1455:⁄
1450:,
1445:⁄
1237:, beta-
1192:apatite
1048:Schoen.
1014:mineral
954:bismuth
950:calcite
893:alunite
661:Schoen.
501:⁄
491:⁄
481:⁄
476:) and (
471:⁄
461:⁄
451:⁄
400:⁄
390:⁄
380:⁄
375:) and (
370:⁄
360:⁄
350:⁄
340:⁄
330:⁄
320:⁄
315:) and (
310:⁄
300:⁄
290:⁄
256:rhombic
2449:square
2231:
2063:
2032:
2005:
1921:
1372:6/mmm
1306:cm, P6
1259:22, P6
1255:22, P6
1251:22, P6
1247:22, P6
1239:quartz
1101:P6, P6
1012:, and
996:The 7
885:cerite
881:schorl
840:12, P3
836:21, P3
832:12, P3
820:quartz
720:P3, P3
140:quartz
118:, the
96:Quartz
2407:cubic
2229:S2CID
2203:arXiv
2164:(PDF)
2057:78–89
1404:/mmc
1392:beryl
1381:*226
1357:2m, P
1353:c2, P
1349:m2, P
1333:*223
1289:polar
1088:polar
1039:Name
1028:Type
970:m1, P
966:1c, P
962:1m, P
876:polar
707:polar
652:Name
641:Type
259:prism
107:Beryl
2061:ISBN
2030:ISBN
2003:ISBN
1919:ISBN
1808:NiAs
1790:CoSe
1784:NiSb
1775:FeSe
1747:and
1695:and
1655:w-BN
1608:zinc
1604:iron
1551:(in
1283:*66
1274:6mm
1224:226
1215:622
1172:6/m
1125:174
1117:, P6
1113:, P6
1109:, P6
1105:, P6
1058:Cox.
1053:Orb.
1043:Intl
981:m, R
927:2*3
870:*33
847:R32
805:223
724:, P3
671:Cox.
666:Orb.
656:Intl
2221:doi
1999:119
1855:hp
1755:.
1751:of
1610:),
1600:ZnS
1584:..c
1578:.m.
1539:is
1361:2c
1324:m2
1310:mc
1263:22
1204:/m
1181:6*
1142:3*
1079:66
974:c1
861:3m
844:21
796:32
757:3×
730:R3
698:33
613:).
587:27
567:18
265:by
202:hR
199:hP
142:).
114:In
2481::
2227:.
2219:.
2211:.
2199:91
2197:.
2083:.
2059:.
2001:.
1976:.
1933:^
1901:^
1782::
1773::
1743:,
1739:,
1732:.
1657:.
1572:..
1561:mc
1557:P6
1549:mc
1545:P6
1377:6h
1329:3h
1296:,
1279:6v
1194:,
1177:6h
1152:,
1138:3h
1095:,
1070:6
985:c
952:,
948:,
944:,
940:,
923:3d
918:m
895:,
891:,
887:,
883:,
866:3v
770:,
754:)
750:(S
748:3i
714:,
689:3
584:7
570:1
559:1
556:7
553:5
496:,
486:,
466:,
456:,
432:=
428:=
424:;
420:=
416:=
335:,
325:,
305:,
295:,
166:.
94:α-
2311:e
2304:t
2297:v
2235:.
2223::
2215::
2205::
2129:.
2108:.
2087:.
2069:.
2038:.
2011:.
1980:.
1927:.
1588:c
1570:3
1568:6
1559:3
1547:3
1467:2
1463:1
1457:3
1453:1
1447:3
1443:2
1415:c
1412:a
1402:3
1398:3
1375:D
1359:6
1355:6
1351:6
1347:6
1345:P
1327:D
1322:6
1308:3
1304:3
1277:C
1261:3
1257:4
1253:2
1249:5
1245:1
1220:6
1218:D
1202:3
1175:C
1160:6
1158:P
1136:C
1132:6
1119:3
1115:4
1111:2
1107:5
1103:1
1075:6
1073:C
1000:(
983:3
979:3
977:R
972:3
968:3
964:3
960:3
958:P
921:D
916:3
864:C
842:2
838:2
834:1
830:1
801:3
799:D
784:3
782:R
778:3
776:P
752:6
746:C
742:3
726:2
722:1
694:3
692:C
503:3
499:2
493:3
489:2
483:3
479:2
473:3
469:1
463:3
459:1
453:3
449:1
441:m
439:3
434:γ
430:β
426:α
422:c
418:b
414:a
402:3
398:2
395:,
392:3
388:1
385:,
382:3
378:2
372:3
368:1
365:,
362:3
358:2
355:,
352:3
348:1
342:3
338:2
332:3
328:2
322:3
318:1
312:3
308:1
302:3
298:1
292:3
288:2
279:a
275:c
271:γ
267:a
263:a
34:.
20:)
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