243:
131:
231:
892:
850:
845:
825:
124:
835:
815:
28:
805:
20:
560:
912:
902:
882:
861:
266:
The table below organizes the space groups of the monoclinic crystal system by crystal class. It lists the
International Tables for Crystallography space group numbers, followed by the crystal class name, its point group in
499:
ditto with screw axes as well as axes, parallel, in between; in this case an additional translation vector is one half of a translation vector in the base plane plus one half of a perpendicular vector between the base
215:
143:
has the shape of an oblique rhombic prism; it can be constructed because the two-dimensional centered rectangular base layer can also be described with primitive rhombic axes. The length
751:
514:
those with both in between each other; in this case an additional translation vector is this glide plus one half of a perpendicular vector between the base planes.
161:
482:
Sphenoidal is also called monoclinic hemimorphic, domatic is also called monoclinic hemihedral, and prismatic is also called monoclinic normal.
758:
727:
629:
69:. Hence two pairs of vectors are perpendicular (meet at right angles), while the third pair makes an angle other than 90°.
511:
those with glide planes instead of pure reflection planes; the glide is one half of a translation vector in the base plane
166:
694:
783:
272:
261:
820:
830:
933:
840:
799:
744:
314:
83:
Two monoclinic
Bravais lattices exist: the primitive monoclinic and the base-centered monoclinic.
653:
602:, p. 746, row mC, column Primitive, where the cell parameters are given as a1 = a2, α = β
686:
679:
279:
notation, and
Coxeter notation, type descriptors, mineral examples, and the notation for the
855:
309:
268:
490:
8:
887:
635:
146:
51:
907:
723:
690:
639:
625:
574:
406:
360:
319:
715:
617:
324:
66:
242:
877:
778:
719:
711:
621:
524:
444:
78:
39:
897:
767:
579:
543:
357:
140:
104:
47:
529:
The only monoclinic
Bravais lattice in two dimensions is the oblique lattice.
927:
63:
365:
130:
59:
280:
707:
411:
32:
553:
230:
117:
891:
849:
248:
Relationship between base layers of primitive and conventional cells
276:
736:
19:
55:
844:
824:
508:
those with pure reflection at the base of the prism and halfway
449:
485:
The three monoclinic hemimorphic space groups are as follows:
834:
814:
123:
27:
804:
911:
901:
881:
860:
705:
559:
236:
Primitive cell of the base-centered monoclinic lattice
58:
is described by vectors of unequal lengths, as in the
169:
149:
504:
The four monoclinic hemihedral space groups include
210:{\displaystyle {\frac {1}{2}}{\sqrt {a^{2}+b^{2}}}}
678:
209:
155:
925:
710:. Vol. A (5th ed.). Berlin, New York:
16:One of the 7 crystal systems in crystallography
677:Hurlbut, Cornelius S.; Klein, Cornels (1985).
139:For the base-centered monoclinic lattice, the
752:
676:
759:
745:
616:. International Union of Crystallography.
50:. A crystal system is described by three
614:International Tables for Crystallography
273:Hermann–Mauguin (international) notation
26:
18:
926:
611:
740:
496:ditto with screw axes instead of axes
31:An example of the monoclinic crystal
703:
599:
518:
223:Oblique rhombic prism primitive cell
766:
163:of the primitive cell below equals
72:
13:
670:
605:
255:
14:
945:
910:
900:
890:
880:
859:
848:
843:
833:
823:
813:
803:
558:
241:
229:
217:of the conventional cell above.
129:
122:
54:. In the monoclinic system, the
646:
592:
1:
585:
784:Crystallographic point group
720:10.1107/97809553602060000100
622:10.1107/97809553602060000001
541:
464:
422:
379:
335:
287:
262:Crystallographic point group
102:
7:
568:
10:
950:
685:(20th ed.). pp.
522:
468:
453:
415:
369:
259:
76:
870:
792:
774:
448:
443:
441:
438:
435:
429:
426:
300:
297:
294:
291:
288:
44:monoclinic crystal system
841:trigonal & hexagonal
704:Hahn, Theo, ed. (2002).
654:"The 32 crystal classes"
612:Prince, E., ed. (2006).
211:
157:
35:
24:
260:Further information:
212:
158:
77:Further information:
30:
22:
681:Manual of Mineralogy
269:Schoenflies notation
167:
147:
62:system. They form a
46:is one of the seven
491:wallpaper group p2
207:
153:
36:
25:
23:Monoclinic crystal
921:
920:
729:978-0-7923-6590-7
631:978-1-4020-4969-9
575:Crystal structure
566:
565:
519:In two dimensions
480:
479:
205:
178:
156:{\displaystyle a}
137:
136:
941:
914:
904:
894:
884:
863:
852:
847:
837:
827:
817:
807:
793:Seven 3D systems
761:
754:
747:
738:
737:
733:
700:
684:
664:
663:
661:
660:
650:
644:
643:
609:
603:
596:
562:
535:Bravais lattice
532:
531:
286:
285:
245:
233:
216:
214:
213:
208:
206:
204:
203:
191:
190:
181:
179:
171:
162:
160:
159:
154:
133:
126:
89:Bravais lattice
86:
85:
73:Bravais lattices
949:
948:
944:
943:
942:
940:
939:
938:
934:Crystal systems
924:
923:
922:
917:
871:Four 2D systems
866:
788:
779:Bravais lattice
770:
768:Crystal systems
765:
730:
712:Springer-Verlag
697:
673:
671:Further reading
668:
667:
658:
656:
652:
651:
647:
632:
610:
606:
597:
593:
588:
571:
527:
525:Oblique lattice
521:
489:a prism with a
472:
457:
445:centrosymmetric
433:
394:
390:
373:
346:
264:
258:
256:Crystal classes
253:
252:
251:
250:
249:
246:
238:
237:
234:
225:
224:
199:
195:
186:
182:
180:
170:
168:
165:
164:
148:
145:
144:
98:
93:
81:
79:Bravais lattice
75:
48:crystal systems
40:crystallography
17:
12:
11:
5:
947:
937:
936:
919:
918:
916:
915:
905:
895:
885:
874:
872:
868:
867:
865:
864:
853:
838:
828:
818:
808:
796:
794:
790:
789:
787:
786:
781:
775:
772:
771:
764:
763:
756:
749:
741:
735:
734:
728:
701:
695:
672:
669:
666:
665:
645:
630:
604:
590:
589:
587:
584:
583:
582:
580:Crystal system
577:
570:
567:
564:
563:
556:
550:
549:
546:
544:Pearson symbol
540:
539:
536:
523:Main article:
520:
517:
516:
515:
512:
509:
502:
501:
497:
494:
478:
477:
474:
470:
467:
463:
462:
459:
455:
452:
447:
442:
440:
437:
434:
431:
428:
425:
421:
420:
417:
414:
409:
404:
402:
399:
396:
392:
388:
385:
382:
378:
377:
374:
371:
368:
363:
358:enantiomorphic
355:
353:
350:
347:
344:
341:
338:
334:
333:
332:Base-centered
330:
327:
322:
317:
312:
307:
303:
302:
299:
296:
293:
290:
257:
254:
247:
240:
239:
235:
228:
227:
226:
222:
221:
220:
219:
202:
198:
194:
189:
185:
177:
174:
152:
141:primitive cell
135:
134:
127:
120:
114:
113:
110:
107:
105:Pearson symbol
101:
100:
95:
90:
74:
71:
15:
9:
6:
4:
3:
2:
946:
935:
932:
931:
929:
913:
909:
906:
903:
899:
896:
893:
889:
886:
883:
879:
876:
875:
873:
869:
862:
857:
854:
851:
846:
842:
839:
836:
832:
829:
826:
822:
819:
816:
812:
809:
806:
801:
798:
797:
795:
791:
785:
782:
780:
777:
776:
773:
769:
762:
757:
755:
750:
748:
743:
742:
739:
731:
725:
721:
717:
713:
709:
708:
702:
698:
696:0-471-80580-7
692:
688:
683:
682:
675:
674:
655:
649:
641:
637:
633:
627:
623:
619:
615:
608:
601:
595:
591:
581:
578:
576:
573:
572:
561:
557:
555:
552:
551:
547:
545:
542:
537:
534:
533:
530:
526:
513:
510:
507:
506:
505:
498:
495:
493:cross-section
492:
488:
487:
486:
483:
475:
465:
460:
451:
446:
423:
418:
413:
410:
408:
405:
403:
400:
397:
386:
383:
380:
375:
367:
364:
362:
359:
356:
354:
351:
348:
342:
339:
336:
331:
328:
326:
323:
321:
318:
316:
313:
311:
308:
305:
304:
301:Space groups
284:
282:
278:
274:
270:
263:
244:
232:
218:
200:
196:
192:
187:
183:
175:
172:
150:
142:
132:
128:
125:
121:
119:
116:
115:
111:
108:
106:
103:
97:Base-centered
96:
91:
88:
87:
84:
80:
70:
68:
65:
64:parallelogram
61:
57:
53:
49:
45:
41:
34:
29:
21:
858:(isometric)
821:orthorhombic
810:
706:
680:
657:. Retrieved
648:
613:
607:
594:
528:
503:
484:
481:
366:halotrichite
292:Point group
281:space groups
265:
138:
82:
60:orthorhombic
43:
37:
888:rectangular
802:(anorthic)
600:Hahn (2002)
340:Sphenoidal
99:monoclinic
94:monoclinic
831:tetragonal
811:monoclinic
659:2018-06-19
586:References
427:Prismatic
412:hilgardite
329:Primitive
33:orthoclase
908:hexagonal
800:triclinic
640:146060934
554:Unit cell
118:Unit cell
92:Primitive
928:Category
569:See also
538:Oblique
469:P2/c, P2
454:P2/m, P2
384:Domatic
298:Example
277:orbifold
878:oblique
500:planes.
419:Cm, Cc
416:Pm, Pc
56:crystal
52:vectors
898:square
726:
693:
638:
628:
466:13–15
450:gypsum
424:10–12
370:P2, P2
310:Schön.
42:, the
856:cubic
687:69–73
636:S2CID
476:C2/c
461:C2/m
407:polar
361:polar
306:Name
295:Type
67:prism
724:ISBN
691:ISBN
626:ISBN
598:See
436:2/m
401:*11
381:6–9
337:3–5
325:Cox.
320:Orb.
315:Intl
716:doi
618:doi
548:mp
473:/c
458:/m
439:2*
376:C2
352:22
112:mS
109:mP
38:In
930::
722:.
714:.
689:.
634:.
624:.
432:2h
398:m
395:)
393:1h
391:(C
349:2
289:#
283:.
275:,
271:,
760:e
753:t
746:v
732:.
718::
699:.
662:.
642:.
620::
471:1
456:1
430:C
389:s
387:C
372:1
345:2
343:C
201:2
197:b
193:+
188:2
184:a
176:2
173:1
151:a
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
