Table 4. Superspace groups for incommensurate compounds with three-dimensional modulations.
Given are the published modulation wavevectors and superspace-group symbol, the number and symbol of the standard BSG setting of the superspace group in 
and the modulation wavevectors in the standard BSG setting. The published and standard basic structure unit cells are equal to each other: 
(
.
|
|
Superspace-group symbols for | Standard BSG setting | ||||
|---|---|---|---|---|---|---|
| Compound | Note |
 (K) |
Published 
|
No. | published/standard BSG settings |
|
(TaSe I |
(a) |
|
|
97.3.179.24 |
|
|
|
|
|
||||
|
|
|||||
Fe O |
(b) | 295 |
|
225.3.209.1 |
|
|
|
|
|
||||
|
|
|||||
| None | (c) |
|
225.3.212.5 |
|
|
|
|
|
|
||||
|
|
|||||
Cu BiS
|
(d) | 295 |
|
225.3.215.7 |
|
|
|
|
|
||||
|
|
|||||
Bi Cr O
|
(e) | 295 |
|
225.3.215.7 |
|
|
|
|
|
||||
|
|
|||||
Bi Mo O
|
(f) | 295 |
|
225.3.215.7 |
|
|
|
|
|
||||
|
|
|||||
Bi Nb O
|
(g) | 295 |
|
225.3.215.8 |
|
|
|
|
|
||||
|
|
|||||
Bi Ta O
|
(h) | 295 |
|
225.3.215.8 |
|
|
|
|
|
||||
|
|
|||||
BaBi O
|
(i) | 295 |
|
229.3.211.5 |
|
|
|
|
|
||||
|
|
|||||
VNi Si
|
(j) | 295 |
|
229.3.214.8 |
|
|
|
|
|
||||
|
|
Notes: (a) van Smaalen et al. (2001 ▶) incorrectly reported a 
D superspace group 
. (b) Wustite, 
; Yamamoto (1982 ▶). (c) Provided for purposes of comparison with the other groups with BSG 
; ‘published’ setting is the symbol from Yamamoto (2005 ▶). (d) Ohmasa et al. (1995 ▶). (e) Esmaeilzadeh et al. (2001 ▶) only discuss the supercentered setting. They give two more compositions: BiCr
O
with 
(
) and 
(
). (f) Valldor et al. (2000 ▶). (g) Withers et al. (1999 ▶): BiNb
O
(
). (h) Ling et al. (1998 ▶): BiTaO (
). (i) Esmaeilzadeh et al. (2000 ▶). (j) Withers et al. (1990 ▶) and Yamamoto (1993 ▶).