MagnData

There are more than 1795 magnetic phases recorded in MAGNDATA (http://webbdcrista1.ehu.es/magndata/) (we called them are magnetic phases because one magnetic material may have several magnetic structures). Apart from the incommensurate magnetic structures, there are 1655 magnetic phases with BCS-ID 0.1-0.835, 1.0.1-1.0.52, 1.1-1.663, 2.1-2.86, and 3.1-3.19. Then removing duplicate data, there remains 1432 magnetic phases. We find 496 magnetic phases have SHG effect, 451 magnetic phases have the LMO effect, and 100 magnetic phases have both LMO and SHG effects, as shown in Fig. 4(a). The SHG classification of 496 magnetic phases is shown in Fig. 4(b). We find that each type of SHG has corresponding magnetic phases, and the SHG type with largest number of magnetic phases is PT-wP. The judgements of all magnetic phases are presented in the following. It is worth noting that we only judge the types of SHG and LMO effect here, but their specific numerical values still need to be calculated or experimented further.

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Fig. 4 Statistics on SHG types in MAGNDATA database. (a) Statistics of materials with SHG and LMO effect in the 1432 magnetic phases. (b) Classification the 496 magnetic phases with SHG effect.
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Notation:

[1] Parent SG: the space group of parent phase ,

[2] MSG: magnetic space group,

[3] MSG: magnetic point group,

[4] SHG type: see the definition in xxx,

[5] LMO: linear magneto-optic effect (Faraday effect and Kerr effect), see xxxx,

[6] The “®” in formula menans the magnetic material with same symmetry has already appeared/repeated.

BCS-ID	Formula	Parent SG	MSG	MPG	SHG type	LMO
0.1	LaMnO$_3$	$Pnma$ (62)	$Pn'ma'$ (62.448)	$m'm'm$	$\times$	$\checkmark$
0.2	Cd$_2$Os$_2$O$_7$	$Fd\overline{3}m$ (227)	$Fd\overline{3}m'$ (227.131)	$m\overline{3}m'$	$\times$	$\times$
0.3	Ca$_3$LiOsO$_6$	$R\overline{3}c$ (167)	$C2'/c'$ (15.89)	$2'/m'$	$\times$	$\checkmark$
0.4	NiCr$_2$O$_4$	$I4_1/amd$ (141)	$Fd'd'd$ (70.530)	$m'm'm$	$\times$	$\checkmark$
0.5	Cr$_2$S$_3$	$R\overline{3}$ (148)	$P\overline{1}$ (2.4)	$\overline{1}$	$\times$	$\checkmark$
0.6	YMnO$_3$	$P6_3cm$ (185)	$P6_{3}cm$ (185.197)	$6mm$	O-woP	$\times$
0.7	ScMnO$_3$	$P6_3cm$ (185)	$P6_{3}c'm'$ (185.201)	$6m'm'$	BW-woP	$\checkmark$
0.8	ScMnO$_3$	$P6_3cm$ (185)	$P6_{3}$ (173.129)	$6$	O-woP	$\checkmark$
0.9	GdB$_4$	$P4/mbm$ (127)	$P4/m'b'm'$ (127.395)	$4/m'm'm'$	PT-wP	$\times$
0.10	DyFeO$_3$	$Pnma$ (62)	$P2_{1}2_{1}2_{1}$ (19.25)	$222$	O-wP	$\times$
0.11	DyFeO$_3$	$Pnma$ (62)	$Pn'a'2_{1}$ (33.148)	$m'm'2$	BW-wP	$\checkmark$
0.12	U$_3$Ru$_4$Al$_{12}$	$P6_3/mmc$ (194)	$Cmcm'$ (63.461)	$m'mm$	PT-wP	$\times$
0.13	Ca$_3$Co$_{2-x}$Mn$_{x}$O$_6$	$R\overline{3}c$ (167)	$R3c$ (161.69)	$3m$	O-wP	$\times$
0.14	Gd$_5$Ge$_4$	$Pnma$ (62)	$Pnm'a$ (62.444)	$m'mm$	PT-wP	$\times$
0.15	MnF$_2$	$P4_2/mnm$ (136)	$P4_{2}'/mnm'$ (136.499)	$4'/mm'm$	$\times$	$\times$
0.16	EuTiO$_3$	$I4/mcm$ (140)	$Fm'mm$ (69.523)	$m'mm$	PT-wP	$\times$
0.17	FePO$_4$	$Pnma$ (62)	$P2_{1}2_{1}2_{1}$ (19.25)	$222$	O-wP	$\times$
0.18	BaMn$_2$As$_2$	$I4/mmm$ (139)	$I4'/m'm'm$ (139.536)	$4'/m'm'm$	PT-wP	$\times$
0.19	MnTiO$_3$	$R\overline{3}$ (148)	$R\overline{3}'$ (148.19)	$\overline{3}'$	PT-wP	$\times$
0.20	MnTe$_2$	$Pa\overline{3}$ (205)	$Pa\overline{3}$ (205.33)	$m\overline{3}$	$\times$	$\times$
0.21	PbNiO$_3$	$R3c$ (161)	$R3c$ (161.69)	$3m$	O-woP	$\times$
0.22	DyB$_4$	$P4/mbm$ (127)	$Pb'am$ (55.355)	$m'mm$	PT-wP	$\times$
0.23	Ca$_3$Mn$_2$O$_7$	$Cmc2_1$ (36)	$Cm'c2_{1}'$ (36.174)	$m'm2'$	BW-woP	$\checkmark$
0.24	LiMnPO$_4$	$Pnma$ (62)	$Pn'm'a'$ (62.449)	$m'm'm'$	PT-wP	$\times$
0.25	NaOsO$_3$	$Pnma$ (62)	$Pn'ma'$ (62.448)	$m'm'm$	$\times$	$\checkmark$
0.26	TmAgGe	$P\overline{6}2m$ (189)	$Am'm'2$ (38.191)	$m'm'2$	BW-woP	$\checkmark$
0.27	YFe$_4$Ge$_2$	$Pnnm$ (58)	$Pn'n'm'$ (58.399)	$m'm'm'$	PT-wP	$\times$
0.28	LiFeSi$_2$O$_6$	$P2_1/c$ (14)	$P2_{1}/c'$ (14.78)	$2/m'$	PT-wP	$\times$
0.29	Er$_2$Ti$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}'/am'd$ (141.554)	$4'/mm'm$	$\times$	$\times$
0.30	YbMnO$_3$	$P6_3cm$ (185)	$P6_{3}'c'm$ (185.199)	$6'mm'$	BW-woP	$\times$
0.31	HoMnO$_3$	$P6_3cm$ (185)	$P6_{3}c'm'$ (185.201)	$6m'm'$	BW-woP	$\checkmark$
0.32	HoMnO$_3$	$P6_3cm$ (185)	$P6_{3}cm$ (185.197)	$6mm$	O-woP	$\times$
0.33	HoMnO$_3$®	$P6_3cm$ (185)	$P6_{3}cm$ (185.197)	$6mm$	O-woP	$\times$
0.34	La$_{0.5}$Sr$_{0.5}$FeO$_{2.5}$F$_{0.5}$	$Pnma$ (062)	$Pn'ma'$ (62.448)	$m'm'm$	$\times$	$\checkmark$
0.35	Cu$_2$OSeO$_3$	$P2_13$ (198)	$R3$ (146.10)	$3$	O-woP	$\checkmark$
0.36	NiF$_2$	$P4_2/mnm$ (136)	$Pnn'm'$ (58.398)	$m'm'm$	$\times$	$\checkmark$
0.37	U$_3$Al$_2$Si$_3$	$I4$ (79)	$C2'$ (5.15)	$2'$	BW-woP	$\checkmark$
0.38	GaFeO$_3$	$Pna2_1$ (33)	$Pna'2_{1}'$ (33.147)	$m'm2'$	BW-woP	$\checkmark$
0.39	Nd$_2$NaRuO$_6$	$P2_1/n$ (14)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.40	Mn$_2$O$_3$-alpha	$Pbca$ (61)	$Pbca$ (61.433)	$mmm$	$\times$	$\times$
0.41	Mn$_2$O$_3$-alpha®	$Pbca$ (61)	$Pbca$ (61.433)	$mmm$	$\times$	$\times$
0.42	HoMnO$_3$	$P6_3cm$ (185)	$P6_{3}'c'm$ (185.199)	$6'mm'$	BW-woP	$\times$
0.43	HoMnO$_3$	$P6_3cm$ (185)	$P6_{3}'cm'$ (185.2)	$6'mm'$	BW-woP	$\times$
0.44	YMnO$_3$	$P6_3cm$ (185)	$P6_{3}'$ (173.131)	$6'$	BW-woP	$\times$
0.45	La$_2$NiO$_4$	$P4_2/ncm$ (138)	$Pc'c'n$ (56.369)	$m'm'm$	$\times$	$\checkmark$
0.46	CaBaCo$_4$O$_7$	$Pbn2_1$ (33)	$Pna'2_{1}'$ (33.147)	$m'm2'$	BW-woP	$\checkmark$
0.47	Gd$_2$Sn$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}'/amd'$ (141.555)	$4'/mm'm$	$\times$	$\times$
0.48	Tb$_2$Sn$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.49	Ho$_2$Ru$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.50	MnTiO$_3$	$R3c$ (161)	$Cc'$ (9.39)	$m'$	BW-woP	$\checkmark$
0.51	Ho$_2$Ru$_2$O$_7$®	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.52	K$_{y}$Fe$_{2-x}$Se$_2$	$I4/m$ (87)	$C2'/m'$ (12.62)	$2'/m'$	$\times$	$\checkmark$
0.53	Rb$_{y}$Fe$_{2-x}$Se$_2$	$I4/m$ (87)	$C2'/m'$ (12.62)	$2'/m'$	$\times$	$\checkmark$
0.54	Rb$_{y}$Fe$_{2-x}$Se$_2$	$I4/m$ (87)	$I4/m'$ (87.78)	$4/m'$	PT-wP	$\times$
0.55	K$_{y}$Fe$_2$-xSe$_2$	$I4/m$ (87)	$I4/m'$ (87.78)	$4/m'$	PT-wP	$\times$
0.56	Ba$_2$CoGe$_2$O$_7$	$P\overline{4}2_1m$ (113)	$Cm'm2'$ (35.167)	$m'm2'$	BW-woP	$\checkmark$
0.57	ScFeO$_3$	$R3c$ (161)	$Cc'$ (9.39)	$m'$	BW-woP	$\checkmark$
0.58	CoAl$_2$O$_4$	$Fd\overline{3}m$ (227)	$I4_{1}'/a'm'd$ (141.556)	$4'/m'm'm$	PT-wP	$\times$
0.59	Cr$_2$O$_3$	$R\overline{3}c$ (167)	$R\overline{3}'c'$ (167.106)	$\overline{3}'m'$	PT-wP	$\times$
0.60	[NH$_2$(CH$_3$)$_2$]$_{n}$[Fe$^{III}$Fe$^{II}$(HCOO)$_6$]$_n$	$R\overline{3}c$ (167)	$R\overline{3}c'$ (167.107)	$\overline{3}m'$	$\times$	$\checkmark$
0.61	Li$_2$FeP$_2$O$_7$	$P2_1/c$ (14)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.62	SrMn$_2$V$_2$O$_8$	$I4_1cd$ (110)	$Ib'a2'$ (45.237)	$m'm2'$	BW-woP	$\checkmark$
0.63	Ho$_2$CrSbO$_7$	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.64	MnV$_2$O$_4$	$I4_1/a$ (88)	$I4_{1}/a$ (88.81)	$4/m$	$\times$	$\checkmark$
0.65	Fe$_2$O$_3$-alpha	$R\overline{3}c$ (167)	$C2'/c'$ (15.89)	$2'/m'$	$\times$	$\checkmark$
0.66	Fe$_2$O$_3$-alpha	$R\overline{3}c$ (167)	$P\overline{1}$ (2.4)	$\overline{1}$	$\times$	$\checkmark$
0.67	BiFe$_{0.5}$Sc$_{0.5}$O$_3$	$Ima2$ (46)	$Im'a2'$ (46.243)	$m'm2'$	BW-woP	$\checkmark$
0.68	BiFe$_{0.5}$Sc$_{0.5}$O$_3$	$Pnma$ (62)	$Pn'm'a$ (62.446)	$m'm'm$	$\times$	$\checkmark$
0.69	Co$_4$(OH)$_2$(C$_{10}$H$_{16}$O$_4$)$_3$	$P2_1/c$ (14)	$P2_{1}'/c'$ (14.79)	$2'/m'$	$\times$	$\checkmark$
0.70	Na$_3$Co(CO$_3$)$_2$Cl	$Fd\overline{3}$ (203)	$Fd\overline{3}$ (203.26)	$m\overline{3}$	$\times$	$\times$
0.71	Li$_2$Ni(SO$_4$)$_2$	$Pbca$ (61)	$Pb'c'a'$ (61.437)	$m'm'm'$	PT-wP	$\times$
0.72	CaMnBi$_2$	$P4/nmm$ (129)	$P4'/n'm'm$ (129.416)	$4'/m'm'm$	PT-wP	$\times$
0.73	SrMnBi$_2$	$I4/mmm$ (139)	$I4'/m'm'm$ (139.536)	$4'/m'm'm$	PT-wP	$\times$
0.74	Mn$_3$Cu$_{0.5}$Ge$_{0.5}$N	$Pm\overline{3}m$ (221)	$R\overline{3}m$ (166.97)	$\overline{3}m$	$\times$	$\times$
0.75	Cr$_2$WO$_6$	$P4_2/mnm$ (136)	$Pn'nm$ (58.395)	$m'mm$	PT-wP	$\times$
0.76	Cr$_2$TeO$_6$	$P4_2/mnm$ (136)	$Pn'nm$ (58.395)	$m'mm$	PT-wP	$\times$
0.77	Tb$_2$Ti$_2$O$_7$	$Fd\overline{3}m$ (227)	$R\overline{3}m'$ (166.101)	$\overline{3}m'$	$\times$	$\checkmark$
0.78	NiN$_2$O$_6$	$R\overline{3}$ (148)	$R\overline{3}$ (148.17)	$\overline{3}$	$\times$	$\checkmark$
0.79	CaIrO$_3$	$Cmcm$ (63)	$Cm'cm'$ (63.464)	$m'm'm$	$\times$	$\checkmark$
0.80	U$_2$Pd$_2$In	$P4/mbm$ (127)	$P4'/m'bm'$ (127.394)	$4'/m'm'm$	PT-wP	$\times$
0.81	U$_2$Pd$_2$Sn®	$P4/mbm$ (127)	$P4'/m'bm'$ (127.394)	$4'/m'm'm$	PT-wP	$\times$
0.82	Gd$_2$CuO$_4$	$Aeam$ (64)	$Cm'ca'$ (64.476)	$m'm'm$	$\times$	$\checkmark$
0.83	LiFeP$_2$O$_7$	$P2_1$ (4)	$P2_{1}$ (4.7)	$2$	O-woP	$\checkmark$
0.84	Mn$_2$FeMoO$_6$	$R3$ (146)	$R3$ (146.10)	$3$	O-woP	$\checkmark$
0.85	KCo$_4$(PO$_4$)$_3$	$Pnnm$ (58)	$Pnn'm'$ (58.398)	$m'm'm$	$\times$	$\checkmark$
0.86	KMn$_4$(PO$_4$)$_3$	$Pnam$ (62)	$Pnma'$ (62.445)	$m'mm$	PT-wP	$\times$
0.87	NaFePO$_4$	$Pnma$ (62)	$Pnma'$ (62.445)	$m'mm$	PT-wP	$\times$
0.88	LiNiPO$_4$	$Pnma$ (62)	$Pnm'a$ (62.444)	$m'mm$	PT-wP	$\times$
0.89	BaMn$_2$Bi$_2$	$I4/mmm$ (139)	$I4'/m'm'm$ (139.536)	$4'/m'm'm$	PT-wP	$\times$
0.90	Rb$_2$Fe$_2$O(AsO$_4$)$_2$	$Pnma$ (62)	$Pnma$ (62.441)	$mmm$	$\times$	$\times$
0.91	Rb$_2$Fe$_2$O(AsO$_4$)$_2$	$Pnma$ (62)	$Pn'ma'$ (62.448)	$m'm'm$	$\times$	$\checkmark$
0.92	CaMn$_2$Sb$_2$	$P\overline{3}m1$ (164)	$C2'/m$ (12.60)	$2'/m$	PT-wP	$\times$
0.93	Ca$_2$Fe$_2$O$_5$	$Pcmn$ (62)	$Pcm'n'$ (62.446)	$m'm'm$	$\times$	$\checkmark$
0.94	TeNiO$_3$	$Pnma$ (62)	$Pn'm'a$ (62.446)	$m'm'm$	$\times$	$\checkmark$
0.95	LiFePO$_4$	$Pnma$ (62)	$Pnma'$ (62.445)	$m'mm$	PT-wP	$\times$
0.96	CoSO$_4$	$Pnma$ (62)	$Pnma$ (62.441)	$mmm$	$\times$	$\times$
0.97	FeSb$_2$O$_4$	$P4_2/mbc$ (135)	$Pmc2_{1}$ (26.66)	$mm2$	O-wP	$\times$
0.98	YBaMn$_2$O$_{5.5}$	$Icam$ (72)	$Ib'a'm$ (72.543)	$m'm'm$	$\times$	$\checkmark$
0.99	YBaMn$_2$O$_{5.5}$	$Icam$ (72)	$C2/m$ (12.58)	$2/m$	$\times$	$\checkmark$
0.100	YCr$_{0.5}$Mn$_{0.5}$O$_3$	$Pnma$ (62)	$Pn'ma'$ (62.448)	$m'm'm$	$\times$	$\checkmark$
0.101	Mn$_2$GeO$_4$	$Pnma$ (62)	$Pn'm'a$ (62.446)	$m'm'm$	$\times$	$\checkmark$
0.102	Mn$_2$GeO$_4$	$Pnma$ (62)	$Pnma$ (62.441)	$mmm$	$\times$	$\times$
0.103	Mn$_2$GeO$_4$	$Pnma$ (62)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.104	ErVO$_3$	$Pbnm$ (62)	$P2_{1}'/m'$ (11.54)	$2'/m'$	$\times$	$\checkmark$
0.105	ErVO$_3$	$Pbnm$ (62)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.106	DyVO$_3$	$Pbnm$ (62)	$P2_{1}'/m'$ (11.54)	$2'/m'$	$\times$	$\checkmark$
0.107	Ho$_2$Ge$_2$O$_7$	$P4_12_12$ (92)	$P4_{1}2_{1}2$ (92.111)	$422$	O-woP	$\times$
0.108	Mn$_3$Ir	$Pm\overline{3}m$ (221)	$R\overline{3}m'$ (166.101)	$\overline{3}m'$	$\times$	$\checkmark$
0.109	Mn$_3$Pt	$Pm\overline{3}m$ (221)	$R\overline{3}m'$ (166.101)	$\overline{3}m'$	$\times$	$\checkmark$
0.110	Cr$_2$O$_3$	$R\overline{3}c$ (167)	$C2'/c$ (15.87)	$2'/m$	PT-wP	$\times$
0.111	Co$_4$Nb$_2$O$_9$	$P\overline{3}c1$ (165)	$P\overline{3}'c'1$ (165.94)	$\overline{3}'m'$	PT-wP	$\times$
0.112	FeBO$_3$	$R\overline{3}c$ (167)	$C2'/c'$ (15.89)	$2'/m'$	$\times$	$\checkmark$
0.113	NiCO$_3$	$R\overline{3}c$ (167)	$C2/c$ (15.85)	$2/m$	$\times$	$\checkmark$
0.114	CoCO$_3$	$R\overline{3}c$ (167)	$C2/c$ (15.85)	$2/m$	$\times$	$\checkmark$
0.115	MnCO$_3$	$R\overline{3}c$ (167)	$C2/c$ (15.85)	$2/m$	$\times$	$\checkmark$
0.116	FeCO$_3$	$R\overline{3}c$ (167)	$R\overline{3}c$ (167.103)	$\overline{3}m$	$\times$	$\times$
0.117	LuFeO$_3$	$P6_3cm$ (185)	$P6_{3}c'm'$ (185.201)	$6m'm'$	BW-woP	$\checkmark$
0.118	Ba$_5$Co$_5$ClO$_{13}$	$P6_3/mmc$ (194)	$P6_{3}'/m'm'c$ (194.268)	$6'/m'mm'$	$\times$	$\times$
0.119	CoSe$_2$O$_5$	$Pbcn$ (60)	$Pb'cn$ (60.419)	$m'mm$	PT-wP	$\times$
0.120	LiFe(SO$_4$)$_2$	$P2_1/c$ (14)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.121	Li$_2$Co(SO$_4$)$_2$	$P2_1/c$ (14)	$P2_{1}'/c'$ (14.79)	$2'/m'$	$\times$	$\checkmark$
0.122	Li$_2$Mn(SO$_4$)$_2$	$P2_1/c$ (14)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.123	Mn$_3$NiN	$Pm\overline{3}m$ (221)	$R\overline{3}$ (148.17)	$\overline{3}$	$\times$	$\checkmark$
0.124	Mn$_3$NiN®	$Pm\overline{3}m$ (221)	$R\overline{3}$ (148.17)	$\overline{3}$	$\times$	$\checkmark$
0.125	MnGeO$_3$	$R\overline{3}$ (148)	$R\overline{3}'$ (148.19)	$\overline{3}'$	PT-wP	$\times$
0.126	NpCo$_2$	$Fd\overline{3}m$ (227)	$I4_{1}'/a'm'd$ (141.556)	$4'/m'm'm$	PT-wP	$\times$
0.127	Dy$_3$Al$_5$O$_{12}$	$Ia\overline{3}d$ (230)	$Ia\overline{3}d'$ (230.148)	$m\overline{3}m'$	$\times$	$\times$
0.128	FeSO$_4$F	$C2/c$ (15)	$C2'/c'$ (15.89)	$2'/m'$	$\times$	$\checkmark$
0.129	Cu$_3$Mo$_2$O$_9$	$Pnma$ (62)	$P2_{1}'2_{1}'2_{1}$ (19.27)	$2'2'2$	BW-wP	$\checkmark$
0.130	Cu$_3$Mo$_2$O$_9$	$Pnma$ (62)	$Pm'c2_{1}'$ (26.68)	$m'm2'$	BW-wP	$\checkmark$
0.131	Mn(N(CN$_2$))$_2$	$Pnnm$ (58)	$Pnn'm'$ (58.398)	$m'm'm$	$\times$	$\checkmark$
0.132	Fe(N(CN$_2$))$_2$	$Pnnm$ (58)	$Pnn'm'$ (58.398)	$m'm'm$	$\times$	$\checkmark$
0.133	Ni$_3$B$_7$O$_{13}$Cl	$Pca2_1$ (29)	$Pc'a2_{1}'$ (29.101)	$m'm2'$	BW-woP	$\checkmark$
0.134	Mn$_3$B$_7$O$_{13}$I	$Pca2_1$ (29)	$Pc'a2_{1}'$ (29.101)	$m'm2'$	BW-woP	$\checkmark$
0.135	Ni$_3$B$_7$O$_{13}$Br	$Pca2_1$ (29)	$Pc'a2_{1}'$ (29.101)	$m'm2'$	BW-woP	$\checkmark$
0.136	Co$_3$B$_7$O$_{13}$Br	$Pca2_1$ (29)	$Pc'a2_{1}'$ (29.101)	$m'm2'$	BW-woP	$\checkmark$
0.137	Cu$_2$V$_2$O$_7$	$Fdd2$ (43)	$Fd'd'2$ (43.227)	$m'm'2$	BW-woP	$\checkmark$
0.138	BiCrO$_3$	$C2/c$ (15)	$C2/c$ (15.85)	$2/m$	$\times$	$\checkmark$
0.139	BiCrO$_3$	$C2/c$ (15)	$P\overline{1}$ (2.4)	$\overline{1}$	$\times$	$\checkmark$
0.140	LuFe$_4$Ge$_2$	$P4_2/mnm$ (136)	$Pn'n'm'$ (58.399)	$m'm'm'$	PT-wP	$\times$
0.141	Tb$_5$Ge$_4$	$Pnma$ (62)	$Pnm'a$ (62.444)	$m'mm$	PT-wP	$\times$
0.142	Fe$_2$TeO$_6$	$P4_2/mnm$ (136)	$P4_{2}/m'n'm'$ (136.503)	$4/m'm'm'$	PT-wP	$\times$
0.143	Cr$_2$TeO$_6$®	$P4_2/mnm$ (136)	$Pn'nm$ (58.395)	$m'mm$	PT-wP	$\times$
0.144	Cr$_2$WO$_6$®	$P4_2/mnm$ (136)	$Pn'nm$ (58.395)	$m'mm$	PT-wP	$\times$
0.145	Co$_3$TeO$_6$	$C2/c$ (15)	$C2'/c$ (15.87)	$2'/m$	PT-wP	$\times$
0.146	EuZrO$_3$	$Pnma$ (62)	$Pnm'a$ (62.444)	$m'mm$	PT-wP	$\times$
0.147	EuZrO$_3$	$Pnma$ (62)	$Pn'm'a'$ (62.449)	$m'm'm'$	PT-wP	$\times$
0.148	La$_2$LiRuO$_6$	$P2_1/n$ (14)	$P2_{1}/c$ (14.75)	$2/m$	$\times$	$\checkmark$
0.149	Nd$_3$Ru$_4$Al$_{12}$	$P6_3/mmc$ (194)	$Cm'c'm$ (63.462)	$m'm'm$	$\times$	$\checkmark$
0.15	NiS$_2$	$Pa\overline{3}$ (205)	$Pa\overline{3}$ (205.33)	$m\overline{3}$	$\times$	$\times$
0.151	Tm$_2$Mn$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.152	LiFePO$_4$	$Pnma$ (62)	$P2_{1}/c'$ (14.78)	$2/m'$	PT-wP	$\times$
0.153	Bi$_2$RuMnO$_7$	$Fd\overline{3}m$ (227)	$Fd'd'd$ (70.530)	$m'm'm$	$\times$	$\checkmark$
0.154	Er$_2$Ru$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}'/am'd$ (141.554)	$4'/mm'm$	$\times$	$\times$
0.155	CaMnGe$_2$O$_6$	$C2/c$ (15)	$P\overline{1}'$ (2.6)	$\overline{1}'$	PT-wP	$\times$
0.156	CaMnGe$_2$O$_6$	$C2/c$ (15)	$C2'/c$ (15.87)	$2'/m$	PT-wP	$\times$
0.157	Yb$_2$Sn$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.158	Yb$_2$Ti$_2$O$_7$	$Fd\overline{3}m$ (227)	$I4_{1}/am'd'$ (141.557)	$4/mm'm'$	$\times$	$\checkmark$
0.159	DyCoO$_3$	$Pbnm$ (62)	$Pn'm'a'$ (62.449)	$m'm'm'$