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Octahedral molecular geometry

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484: 461: 1043: 1062: 444: 427: 314: 297: 392: 375: 1102: 1082: 205: 1977: 40: 953:, since it is derived from the octahedron by placing the lone pair over the centre of one triangular face of the octahedron as a "cap" (and shifting the positions of the other six atoms to accommodate it). These both represent a divergence from the geometry predicted by VSEPR, which for AX 572:
The number of possible isomers can reach 30 for an octahedral complex with six different ligands (in contrast, only two stereoisomers are possible for a tetrahedral complex with four different ligands). The following table lists all possible combinations for monodentate ligands:
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When two or more types of ligands (L, L, ...) are coordinated to an octahedral metal centre (M), the complex can exist as isomers. The naming system for these isomers depends upon the number and arrangement of different ligands.
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Given that a virtually uncountable variety of octahedral complexes exist, it is not surprising that a wide variety of reactions have been described. These reactions can be classified as follows:
168:. The term "octahedral" is used somewhat loosely by chemists, focusing on the geometry of the bonds to the central atom and not considering differences among the ligands themselves. For example, 197:. His insight allowed chemists to rationalize the number of isomers of coordination compounds. Octahedral transition-metal complexes containing amines and simple anions are often referred to as 1042: 1081: 360:) in which each set of three identical ligands occupies one face of the octahedron surrounding the metal atom, so that any two of these three ligands are mutually cis, and a 872:. The tetrahedron MLLLL exists as a single enantiomeric pair. To generate two diastereomers in an organic compound, at least two carbon centers are required. 1446:
in water, especially in the presence of acid or base. Addition of concentrated HCl converts the aquo complex back to the chloride, via an anation process.
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Crawford, T. Daniel; Springer, Kristen W.; Schaefer, Henry F. (1994). "A contribution to the understanding of the structure of xenon hexafluoride".
144:, although octahedral molecules typically have an atom in their centre and no bonds between the ligand atoms. A perfect octahedron belongs to the 1957: 1962: 1941: 1739: 1915: 1905: 977:. Two motifs for fusing octahedra are common: edge-sharing and face-sharing. Edge- and face-shared bioctahedra have the formulas 1931: 1889: 1853: 1614: 962: 1278:, which varies according to the number and nature of the ligands. If the symmetry of the complex is lower than octahedral, the e 973:
Pairs of octahedra can be fused in a way that preserves the octahedral coordination geometry by replacing terminal ligands with
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are equal in energy; that is, they are "degenerate". In an octahedral complex, this degeneracy is lifted. The energy of the d
1122: 1910: 1863: 947: 1858: 17: 1801: 1732: 1171:-complexes, which is usually slow, is proposed to proceed via a trigonal prismatic intermediate, a process called the " 1683: 1547: 1522: 1255:, which describe the symmetry properties of these orbitals. The energy gap separating these two sets is the basis of 483: 460: 1837: 2006: 1936: 1707: 1827: 169: 1725: 2001: 1980: 1811: 1565: 1146:. In this geometry, the six ligands are also equivalent. There are also distorted trigonal prisms, with C 1004:
The sharing of an edge or a face of an octahedron gives a structure called bioctahedral. Many metal penta
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set, which are aimed directly at the ligands are destabilized. On the other hand, the energy of the d
198: 296: 1712: 286:, if the L groups are situated 180° to each other. It was the analysis of such complexes that led 1785: 1264: 1088: 1068: 1021: 391: 374: 161: 57: 368:) in which each set of three identical ligands occupies a plane passing through the metal atom. 1268: 1263:. The loss of degeneracy upon the formation of an octahedral complex from a free ion is called 896: 892: 886: 1052: 1013: 194: 1574: 1256: 1138:, the chief alternative to octahedral geometry is a trigonal prismatic geometry, which has 1108: 1048: 132: 8: 1764: 1399: 1260: 1192: 1152: 209: 153: 82: 50: 1578: 993:, respectively. Polymeric versions of the same linking pattern give the stoichiometries 1748: 1511: 1465: 1455: 1180: 1012:
compounds exist in solution and the solid with bioctahedral structures. One example is
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Rearrangements where the relative stereochemistry of the ligand changes within the
1128: 182:, which is not octahedral in the mathematical sense due to the orientation of the 1392: 974: 222: 1406:
Many reactions of octahedral transition metal complexes occur in water. When an
1111:
highlighting the eclipsing of the halide ligands in such face-sharing octahedra.
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is based upon a distorted octahedron, probably towards a monocapped octahedron
1995: 287: 204: 190: 1486:"Trigonal bipyramidal molecular shape @ Chemistry Dictionary & Glossary" 136: 1759: 1627: 1176: 1172: 860:
LLLL, six diastereomers are chiral and three are not (the ones where L are
1024:
is an example. Compounds with face-sharing octahedral chains include MoBr
127:
symmetrically arranged around a central atom, defining the vertices of an
535:, a total of five geometric isomers and six stereoisomers are possible. 145: 564:
Two enantiomeric pair in which all three pairs of identical ligands are
123:, describes the shape of compounds with six atoms or groups of atoms or 1460: 1410:
ligand replaces a coordinated water molecule the reaction is called an
1371: 1367: 865: 586: 417: 128: 39: 1717: 1586: 1414:. The reverse reaction, water replacing an anionic ligand, is called 1198: 413: 290:
to the 1913 Nobel Prize–winning postulation of octahedral complexes.
212:, an example of a molecule with the octahedral coordination geometry. 112: 1415: 1348: 1332: 1319:
Ligand strength has the following order for these electron donors:
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The concept of octahedral coordination geometry was developed by
1127:"Trigonal prism" redirects here. For the three-sided prism, see 864:). One can see that octahedral coordination allows much greater 851:
Thus, all 15 diastereomers of MLLLLLL are chiral, whereas for ML
1324: 1005: 124: 1344: 568:. These are equivalent to the Δ vs Λ isomers mentioned above. 539:
One isomer in which all three pairs of identical ligands are
1389:
Ligand addition reactions, including among many, protonation
1600:
Mahjoub, Ali R.; Seppelt, Konrad (1991). "The Structure of
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Ligand substitution reactions (via a variety of mechanisms)
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For a free ion, e.g. gaseous Ni or Mo, the energy of the
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The term can also refer to octahedral influenced by the
545:
Three isomers in which one pair of identical ligands (L
216: 1510: 1359:So called "weak field ligands" give rise to small 1186: 899:. This reduces the symmetry of the molecule from O 557:while the other two pairs of ligands are mutually 412:Complexes with three bidentate ligands or two cis 875: 1993: 1647:University of Sheffield: Department of Chemistry 910: 329: 193:to explain the stoichiometries and isomerism in 1599: 1116: 895:, which is a common phenomenon encountered in 282:, if the L ligands are mutually adjacent, and 1733: 1708:Indiana University Molecular Structure Center 1703:Example of octahedral geometry at 3dCHEM.com 1542:(2nd ed.). Prentice-Hall. p. 290. 1537: 1508: 1286:levels can split further. For example, the t 131:. The octahedron has eight faces, hence the 1740: 1726: 968: 38: 1513:Stereochemistry of Coordination Compounds 907:and is known as a tetragonal distortion. 1643:"VSEPR and more than six electron pairs" 260:, two isomers exist. These isomers of ML 203: 1615:Angewandte Chemie International Edition 1055:, a bioctahedral coordination compound. 152:. Examples of octahedral compounds are 14: 1994: 1747: 1640: 946:. The specific geometry is known as a 1721: 1673: 1538:Miessler, G. L.; Tarr, D. A. (1999). 1123:trigonal prismatic molecular geometry 934:, have a lone pair that distorts the 880: 186:bonds, is referred to as octahedral. 1395:(where electrons are gained or lost) 1016:. Metal tetrahalides often exist as 868:than the tetrahedron that dominates 24: 1175:". An alternative pathway for the 420:pairs. Examples are shown below. 25: 2018: 1696: 1243:set, are stabilized. The labels t 1150:symmetry; a prominent example is 1134:For compounds with the formula MX 407: 217:Isomerism in octahedral complexes 1976: 1975: 1100: 1095:based on face-sharing octahedra. 1080: 1075:based on edge-sharing octahedra. 1060: 1041: 482: 459: 442: 425: 390: 373: 312: 295: 231: 1187:Splitting of d-orbital energies 1179:of these same complexes is the 352:, two isomers are possible - a 140:. The octahedron is one of the 1676:Structural Inorganic Chemistry 1667: 1634: 1593: 1556: 1531: 1502: 1478: 1107:View almost down the chain of 876:Deviations from ideal symmetry 13: 1: 1713:Point Group Symmetry Examples 1471: 1020:with edge-sharing octahedra. 911:Distorted octahedral geometry 330:Facial and meridional isomers 117:octahedral molecular geometry 33:Octahedral molecular geometry 1958:Tricapped trigonal prismatic 1377: 1271:. The energy gap is labeled 7: 1963:Capped square antiprismatic 1942:Bicapped trigonal prismatic 1678:. Oxford: Clarendon Press. 1566:Journal of Chemical Physics 1449: 1259:and the more comprehensive 1253:irreducible representations 1117:Trigonal prismatic geometry 10: 2023: 1517:. Chichester: John Wiley. 1190: 1126: 1120: 884: 220: 1971: 1950: 1924: 1916:Capped trigonal prismatic 1898: 1872: 1846: 1820: 1794: 1773: 1755: 1509:Von Zelewsky, A. (1995). 1239:orbitals, the so-called t 1163:. The interconversion of 99: 91: 81: 66: 46: 37: 32: 1087:Ball-and-stick model of 1067:Ball-and-stick model of 915:Some molecules, such as 503: 1265:crystal field splitting 1089:molybdenum(III) bromide 1069:zirconium tetrachloride 1022:Zirconium tetrachloride 969:Bioctahedral structures 162:molybdenum hexacarbonyl 2007:Coordination chemistry 1906:Pentagonal bipyramidal 1628:10.1002/anie.199103231 1294:sets split further in 1269:ligand field splitting 938:of the molecule from O 897:coordination chemistry 213: 195:coordination compounds 1951:Coordination number 9 1925:Coordination number 8 1899:Coordination number 7 1873:Coordination number 6 1847:Coordination number 5 1821:Coordination number 4 1795:Coordination number 3 1774:Coordination number 2 1641:Winter, Mark (2015). 1490:glossary.periodni.com 1053:niobium pentachloride 1014:niobium pentachloride 416:ligands can exist as 207: 199:Werner-type complexes 1932:Square antiprismatic 1890:Pentagonal pyramidal 1854:Trigonal bipyramidal 1674:Wells, A.F. (1984). 1658:the structure of XeF 1257:crystal field theory 1109:titanium(III) iodide 1049:Ball-and-stick model 963:pentagonal pyramidal 1765:Coordination number 1579:1995JChPh.102.3307C 1540:Inorganic Chemistry 1456:Octahedral clusters 1418:. For example, the 1400:coordination sphere 1261:ligand field theory 1193:Ligand field theory 210:sulfur hexafluoride 154:sulfur hexafluoride 83:Coordination number 18:Octahedral geometry 2002:Molecular geometry 1885:Trigonal prismatic 1807:Trigonal pyramidal 1749:Molecular geometry 1466:Molecular geometry 893:Jahn–Teller effect 887:Jahn–Teller effect 881:Jahn–Teller effect 214: 121:square bipyramidal 27:Molecular geometry 1989: 1988: 1911:Capped octahedral 1864:Pentagonal planar 1217:, the so-called e 870:organic chemistry 849: 848: 582:Number of isomers 362:meridional isomer 109: 108: 16:(Redirected from 2014: 1979: 1978: 1859:Square pyramidal 1742: 1735: 1728: 1719: 1718: 1690: 1689: 1671: 1665: 1664: 1655: 1653: 1638: 1632: 1631: 1611: 1610: 1609: 1597: 1591: 1590: 1587:10.1063/1.468642 1573:(8): 3307–3311. 1560: 1554: 1553: 1535: 1529: 1528: 1516: 1506: 1500: 1499: 1497: 1496: 1482: 1445: 1429: 1370:light at longer 1315: 1314: 1306: 1305: 1162: 1129:Triangular prism 1104: 1084: 1064: 1045: 1001:, respectively. 975:bridging ligands 933: 932: 931: 859: 858: 827: 826: 807: 806: 798: 797: 779: 778: 770: 769: 761: 760: 741: 740: 721: 720: 712: 711: 693: 692: 684: 683: 664: 663: 645: 644: 636: 635: 616: 615: 576: 575: 534: 533: 525: 524: 516: 515: 486: 463: 446: 429: 394: 377: 351: 350: 342: 341: 316: 299: 277: 276: 268: 267: 259: 258: 250: 249: 185: 180: 42: 30: 29: 21: 2022: 2021: 2017: 2016: 2015: 2013: 2012: 2011: 1992: 1991: 1990: 1985: 1967: 1946: 1920: 1894: 1868: 1842: 1816: 1802:Trigonal planar 1790: 1769: 1751: 1746: 1699: 1694: 1693: 1686: 1672: 1668: 1661: 1651: 1649: 1639: 1635: 1608: 1605: 1604: 1603: 1601: 1598: 1594: 1561: 1557: 1550: 1536: 1532: 1525: 1507: 1503: 1494: 1492: 1484: 1483: 1479: 1474: 1452: 1443: 1439: 1435: 1431: 1427: 1423: 1419: 1393:Redox reactions 1380: 1365: 1313: 1310: 1309: 1308: 1304: 1301: 1300: 1299: 1293: 1289: 1285: 1281: 1277: 1250: 1246: 1242: 1238: 1232: 1226: 1220: 1216: 1206: 1195: 1189: 1160: 1156: 1151: 1149: 1145: 1137: 1132: 1125: 1119: 1112: 1105: 1096: 1091:, an inorganic 1085: 1076: 1071:, an inorganic 1065: 1056: 1046: 1035: 1031: 1027: 1000: 996: 992: 988: 984: 980: 971: 960: 956: 945: 941: 930: 927: 926: 925: 923: 920: 913: 906: 902: 889: 883: 878: 857: 854: 853: 852: 825: 822: 821: 820: 805: 802: 801: 800: 796: 793: 792: 791: 777: 774: 773: 772: 768: 765: 764: 763: 759: 756: 755: 754: 739: 736: 735: 734: 719: 716: 715: 714: 710: 707: 706: 705: 691: 688: 687: 686: 682: 679: 678: 677: 662: 659: 658: 657: 643: 640: 639: 638: 634: 631: 630: 629: 614: 611: 610: 609: 597: 532: 529: 528: 527: 523: 520: 519: 518: 514: 511: 510: 509: 506: 499: 498: 487: 478: 477: 464: 455: 454: 447: 438: 437: 430: 410: 403: 402: 395: 386: 385: 378: 349: 346: 345: 344: 340: 337: 336: 335: 332: 325: 324: 317: 308: 307: 300: 275: 272: 271: 270: 266: 263: 262: 261: 257: 254: 253: 252: 248: 245: 244: 243: 240: 225: 223:Stereochemistry 219: 183: 178: 174: 170: 167: 159: 151: 142:Platonic solids 76: 61: 54: 28: 23: 22: 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355: 354:facial isomer 322: 315: 310: 305: 298: 293: 292: 291: 289: 288:Alfred Werner 285: 281: 238: 234: 229: 224: 211: 208:Structure of 206: 202: 200: 196: 192: 191:Alfred Werner 187: 181: 163: 155: 147: 143: 139: 138: 134: 130: 126: 122: 118: 114: 104: 102: 98: 94: 92:Bond angle(s) 90: 86: 84: 80: 77: 71: 69: 65: 62: 55: 49: 45: 41: 36: 31: 19: 1937:Dodecahedral 1879: 1760:VSEPR theory 1675: 1669: 1657: 1652:25 September 1650:. Retrieved 1646: 1636: 1619: 1613: 1595: 1570: 1564: 1558: 1539: 1533: 1512: 1504: 1493:. Retrieved 1489: 1480: 1420:[CoCl(NH 1405: 1381: 1360: 1358: 1318: 1295: 1272: 1235: 1229: 1223: 1213: 1209: 1203: 1196: 1177:racemization 1173:Bailar twist 1168: 1164: 1133: 1003: 972: 948: 914: 890: 861: 850: 587:enantiomeric 571: 565: 558: 554: 550: 546: 540: 507: 494: 490: 472: 468: 450: 433: 418:enantiomeric 411: 398: 381: 365: 361: 357: 353: 333: 320: 303: 283: 279: 241: 236: 232: 226: 188: 135: 120: 116: 110: 101:μ (Polarity) 72: 1828:Tetrahedral 1372:wavelengths 961:predicts a 146:point group 68:Point group 1996:Categories 1880:Octahedral 1495:2022-07-03 1472:References 1461:AXE method 1432:[Co(NH 1199:d-orbitals 1032:, and TlBr 951:octahedron 949:monocapped 866:complexity 585:Number of 171:[Co(NH 129:octahedron 1378:Reactions 1251:refer to 1008:and penta 414:bidentate 113:chemistry 1981:Category 1812:T-shaped 1450:See also 1416:aquation 1349:pyridine 1333:fluorine 1140:symmetry 1018:polymers 1010:alkoxide 936:symmetry 47:Examples 1575:Bibcode 1412:anation 1408:anionic 1355::strong 1353:cyanide 1341:oxalate 1337:acetate 1329:bromine 1233:, and d 1212:− 1093:polymer 1073:polymer 965:shape. 839:MLLLLLL 579:Formula 125:ligands 1833:Seesaw 1781:Linear 1682:  1546:  1521:  1368:absorb 1325:iodine 1323:weak: 1167:- and 1028:, RuBr 1006:halide 589:pairs 553:L) is 508:For ML 334:For ML 242:For ML 164:Mo(CO) 133:prefix 58:Mo(CO) 1351:< 1347:< 1345:water 1343:< 1339:< 1335:< 1331:< 1327:< 1296:trans 1290:and e 1282:and t 1247:and e 1207:and d 989:(μ-L) 981:and M 862:trans 555:trans 541:trans 504:Other 321:trans 284:trans 237:trans 1786:Bent 1680:ISBN 1654:2018 1544:ISBN 1519:ISBN 1366:and 1153:W(CH 997:and 942:to C 903:to D 828:LLLL 278:are 235:and 160:and 137:octa 1624:doi 1612:". 1583:doi 1571:102 1444:O)] 1298:-ML 1267:or 1227:, d 1051:of 922:or 917:XeF 845:15 742:LLL 566:cis 559:cis 495:cis 473:cis 399:mer 382:fac 366:mer 358:fac 304:cis 280:cis 233:cis 184:N−H 111:In 95:90° 1998:: 1656:. 1645:. 1620:30 1618:. 1602:IF 1581:. 1569:. 1488:. 1440:(H 1374:. 1316:. 1288:2g 1284:2g 1245:2g 1241:2g 1236:yz 1230:xy 1224:xz 1183:. 1148:3v 1144:3h 1036:. 944:3v 924:IF 905:4h 842:30 834:6 831:15 819:ML 814:2 808:LL 790:ML 785:1 753:ML 748:1 733:ML 728:0 704:ML 699:0 676:ML 671:0 665:LL 656:ML 651:0 628:ML 623:0 608:ML 603:0 594:ML 551:or 549:L 547:or 201:. 156:SF 115:, 56:, 51:SF 1741:e 1734:t 1727:v 1688:. 1660:6 1630:. 1626:: 1607:6 1589:. 1585:: 1577:: 1552:. 1527:. 1498:. 1442:2 1438:5 1436:) 1434:3 1428:] 1426:5 1424:) 1422:3 1402:. 1364:o 1361:Δ 1312:2 1307:L 1303:4 1292:g 1280:g 1276:o 1273:Δ 1249:g 1219:g 1214:y 1210:x 1204:z 1169:Λ 1165:Δ 1159:6 1157:) 1155:3 1142:D 1136:6 1131:. 1034:3 1030:3 1026:3 999:∞ 995:∞ 991:3 987:6 985:L 983:2 979:2 959:1 957:E 955:6 940:h 929:6 919:6 901:h 856:2 824:2 811:8 804:2 799:L 795:2 782:6 776:2 771:L 767:2 762:L 758:2 745:5 738:3 725:3 722:L 718:2 713:L 709:3 696:2 690:3 685:L 681:3 668:2 661:4 648:2 642:2 637:L 633:4 620:1 617:L 613:5 600:1 596:6 561:. 531:2 526:L 522:2 517:L 513:2 497:- 493:- 491:Δ 475:- 471:- 469:Λ 453:- 451:Δ 436:- 434:Λ 401:- 384:- 364:( 356:( 348:3 343:L 339:3 323:- 306:- 274:2 269:L 265:4 256:2 251:L 247:4 179:] 177:6 175:) 173:3 166:6 158:6 150:h 148:O 105:0 87:6 75:h 73:O 60:6 53:6 20:)

Index

Octahedral geometry

SF6
Mo(CO)6
Point group
Coordination number
μ (Polarity)
chemistry
ligands
octahedron
prefix
octa
Platonic solids
point group
sulfur hexafluoride
molybdenum hexacarbonyl
[Co(NH3)6]
Alfred Werner
coordination compounds
Werner-type complexes

sulfur hexafluoride
Stereochemistry
Alfred Werner
cis-+
trans-+
fac-
mer-
bidentate
enantiomeric

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