晶体结构空间群表(新)
晶体结构空间群表之欧阳德创编
时间：2021.03.07 创作：欧阳德Symbols of the 230 Crystallographic Space Groups晶系(Crystal system)点群(Point group)空间群(Space group) 国际符号(HM)圣佛利斯符号(Schfl.)三斜晶系1 C1P1C i P单斜2 P2 P21 C2m P m P c C m C c欧阳德创编 2021.03.07晶系2/m P2/m P21/m C2/m P2/c P21/C C2/c正交晶系222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121 mm2Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2Fdd2 Imm2 Iba2 Ima2mmmPmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca PbamPccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma Cmcm CmcaCmmm Cccm Cmma Ccca Fmmm Fddd Immm Ibam IbcaImma四方晶系4 P4 P41 P42P43 I4 I41P I4/m P4/m P42/m P4/n P42/n I4/m I41/a422P422 P4212 P4122 P41212 P4222 P42212 P4322 P43212 I422I41224mmP4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc I4mmI4cm I41md I41cd欧阳德创编 2021.03.072m P 2m P2cP21mP21c P m2 P c2 P b2 P n2Im2 I c2 I 2mI2d4/mmm P4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmc P42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcm I41/amd I41/acd三方晶系3 P3 P31P32R3P R32 P312 P321 P3112 P3121 P3212 P3221 R32 3m P3m1 P31m P3c1 P31c R3m R3cm P1m P 1c P m1 P c1 R m R c六方晶系6 P6 P61P65P62P64P63P6/m P6/m P63/m622 P622 P6122 P6522 P6222 P6422 P6322欧阳德创编 2021.03.076mm P6mm P6cc P63cm P63mcm2P m2 P c2 P2mP2c6/mmm P6/mmm P6/mcc P63/mcm P63/mmc立方晶系23 P23 F23 I23 P213 I213m Pm3 Pn3 Fm3 Fd3 Im3 Pa3 Ia3432 P432 P4232 F432 F4132 I432 P4332 P4132 I41323m P 3m F 3m I3m P3n F3cI3dm mPm m Pn n Pm n Pn m Fm m Fm c Fd mFdcIm mIa d1P 12P -13P 24P 215 C 26P m7P c8 C m9 C c10P 2/m11P21/m12 C 2/m13P2/c14P 21/c15 C 2/c16P 22 217P 2 2 2118P 2121 219P 21 212120 C 2 2 21欧阳德创编 2021.03.0721C 22 222 F 2 2 223I 22 224I 21212125P m m 226P mc 2127P c c 228P ma 229P c a2130P n c 231P mn 2132P b a 233P na 2134P n n 235 C m m 236C mc 2137 C c c 238A mm 239A b m240 A m a 241A ba 242 F m m 243F dd 244I m m245I b a 246I ma 247P m m m48P nn n49P c cm50P b a n51P mm a52P n n a53P mn a54P c c a55P b a m56P cc n57P b c m58P nn m59P m mn60P b c n61P bc a62P n m a63C mc m64C m ca65 C m m m66C cc m67 C m m a68C cc a69F m mm70 F d d d71I mm m72I b a m73I b ca74I m ma75P 4欧阳德创编 2021.03.0776P 4177P 4278P 4379I 480I 4181P -482I -483P4/m84P 42/m85P 4/n86P42/n87I 4/m88I41/a89P 4 2 290P 4 21 291P 412 292P 41 21 293P 422 294P 42 21295P 43 2 296P 4321 297I 4 2 298I 412 299P 4 mm100P 4 b m101P 42c m102P 42 n m103P 4c c104P 4 n c105P 42 m c106P 42b c107I 4 m m108I 4 cm109I 41md110I 41 c d111P -42 m112P -4 2 c113P -421m114P -4 21c115P -4 m 2116P -4c 2117P -4 b 2118P -4n 2119I -4 m2120I -4 c 2121I -42 m122I -4 2 d123P4/mm m124P 4/mc c125P 4/n b m126P 127P 4/m b m128P 129P 4/n 130P 4/n c c欧阳德创编 2021.03.074/n n c 4/mn cm m131P42/m mc132P 42/m cm133P42/nb c134P 42/nn m135P 42/m b c136P42/m nm137P 42/n m c138P42/nc m139I 4/mm m140I 4/m c m141I41/am d142I 41/a c d143P 3144P 31145P 32146R 3147P -3148R -3149P 3 1 2150P 3 2 1151P 311 2152P 31 2 1153P 321 2154P 3221155R 3 2156P 3m 1157P 3 1 m158P 3c 1159P 3 1 c160R 3 m161R 3c162P -3 1 m163P -31 c164P -3 m1165P -3 c 1166R -3m167R -3 c168P 6169P 61170P 65欧阳德创编 2021.03.07171P 62172P 64173P 63174P -6175P 6/m176P63/m177P 6 2 2178P 612 2179P 6522180P 62 2 2181P 642 2182P 63 2 2183P 6m m184P 6 c c185P 63 c m186P 63m c187P -6 m 2188P -6c 2189P -6 2m190P -6 2 c191P6/mm m192P 6/m c c193P63/m cm194P 63/mm c195P 2 3196F 23197I 2 3198P 213199I 21 3200P m -3201P n-3202 F m -3203F d-3204I m -3205P a -3206I a -3207P 4 3 2208P 423 2209 F 4 3 2210 F 41 3 2211I 43 2212P 43 3 2213P 413 2214I 41 3 2215P -4 3 m216F -43 m217I -4 3 m218P -43 n219F -4 3c220I -4 3 d欧阳德创编 2021.03.07欧阳德创编 2021.03.07221 P m -3m 222 P n -3 n 223P m -3 n 224 P n -3 m 225 F m -3 m 226F m -3 c227 F d -3 m228F d -3 c229I m -3 m230 I a -3 d。
晶体结构空间群表优秀文档
晶体结构空间群表优秀文档(可以直接使用，可编辑实用优质文档，欢迎下载）Symbols of the 230 Crystallographic Space Groups晶系(Crystal system)点群(Point group)空间群(Space group) 国际符号(HM)圣佛利斯符号(Schfl.)三斜晶系1 C1P1C i P单斜晶系2 P2 P21 C2m P m P c C m C c2/m P2/m P21/m C2/m P2/c P21/C C2/c正交晶系222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121 mm2Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2Fdd2 Imm2 Iba2 Ima2mmm Pmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca Pbam Pccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma Cmcm Cmca Cmmm Cccm Cmma Ccca Fmmm Fddd Immm Ibam Ibca Imma四方晶系4 P4 P41 P42P43 I4 I41P I4/m P4/m P42/m P4/n P42/n I4/m I41/a422P422 P4212 P4122 P41212 P4222 P42212 P4322 P43212 I422I41224mmP4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc I4mmI4cm I41md I41cd2mP 2m P2c P 21m P21c Pm2 Pc2 Pb2 Pn2 I m2Ic2 I 2m I 2d4/mmmP4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmcP42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcmI41/amd I41/acd三方晶系3 P3 P31P32R3P R32 P312 P321 P3112 P3121 P3212 P3221 R32 3m P3m1 P31m P3c1 P31c R3m R3cm P1m P 1c Pm1 Pc1 R m R c六方晶系6 P6 P61P65P62P64P63P6/m P6/m P63/m622 P622 P6122 P6522 P6222 P6422 P6322 6mm P6mm P6cc P63cm P63mcm2P m2 P c2 P 2m P2c6/mmm P6/mmm P6/mcc P63/mcm P63/mmc立方23 P23 F23 I23 P213 I213m Pm3 Pn3 Fm3 Fd3 Im3 Pa3 Ia3晶系432 P432 P4232 F432 F4132 I432 P4332 P4132 I4132 3m P 3m F 3m I3m P3n F3c I 3dPm m Pn n Pmn Pn m Fm m Fm c Fd m Fd c Imm m mIa d1P 12P -13P 24P 215 C 26P m7P c8 C m9 C c10P 2/m11P 21/m12 C 2/m13P 2/c14P 21/c15 C 2/c16P 2 2 217P 2 2 2118P 21 21 219P 21 21 2120 C 2 2 2121 C 2 2 222 F 2 2 223I 2 2 224I 21 21 2125P m m 226P m c 2127P c c 228P m a 229P c a 2130P n c 231P m n 2132P b a 233P n a 2134P n n 235 C m m 236 C m c 2137 C c c 238 A m m 239 A b m 240 A m a 241 A b a 242 F m m 243 F d d 244I m m 245I b a 2 46I m a 247P m m m48P n n n49P c c m50P b a n 51P m m a52P n n a53P m n a54P c c a55P b a m 56P c c n57P b c m58P n n m59P m m n60P b c n 61P b c a62P n m a63 C m c m64 C m c a65 C m m m 66 C c c m67 C m m a68 C c c a69 F m m m70 F d d d 71I m m m72I b a m73I b c a74I m m a75P 476P 4177P 4278P 4379I 480I 4181P -482I -483P 4/m84P 42/m85P 4/n86P 42/n87I 4/m88I 41/a89P 4 2 290P 4 21 2 91P 41 2 292P 41 21 293P 42 2 294P 42 21 295P 43 2 2 96P 43 21 297I 4 2 298I 41 2 299P 4 m m100P 4 b m 101P 42 c m102P 42 n m103P 4 c c104P 4 n c105P 42 m c 106P 42 b c107I 4 m m108I 4 c m109I 41 m d110I 41 c d 111P -4 2 m112P -4 2 c113P -4 21 m114P -4 21 c115P -4 m 2116P -4 c 2117P -4 b 2118P -4 n 2119I -4 m 2120I -4 c 2 121I -4 2 m122I -4 2 d123P 4/m m m124P 4/m c c125P 4/n b m 126P 4/n n c127P 4/m b m128P 4/m n c129P 4/n m m130P 4/n c c 131P 42/m m c132P 42/m c m133P 42/n b c134P 42/n n m135P 42/m b c 136P 42/m n m137P 42/n m c138P 42/n c m139I 4/m m m140I 4/m c m 141I 41/a m d142I 41/a c d143P 3144P 31145P 32146R 3147P -3148R -3149P 3 1 2150P 3 2 1 151P 31 1 2152P 31 2 1153P 32 1 2154P 32 2 1155R 3 2 156P 3 m 1157P 3 1 m158P 3 c 1159P 3 1 c160R 3 m 161R 3 c162P -3 1 m163P -3 1 c164P -3 m 1165P -3 c 1 166R -3 m167R -3 c168P 6169P 61170P 65171P 62172P 64173P 63174P -6175P 6/m 176P 63/m177P 6 2 2178P 61 2 2179P 65 2 2180P 62 2 2 181P 64 2 2182P 63 2 2183P 6 m m184P 6 c c185P 63 c m 186P 63 m c187P -6 m 2188P -6 c 2189P -6 2 m190P -6 2 c191P 6/m m m192P 6/m c c193P 63/m c m194P 63/m m c195P 2 3 196 F 2 3197I 2 3198P 21 3199I 21 3200P m -3 201P n -3202 F m -3203 F d -3204I m -3205P a -3 206I a -3207P 4 3 2208P 42 3 2209 F 4 3 2210 F 41 3 2 211I 4 3 2212P 43 3 2213P 41 3 2214I 41 3 2215P -4 3 m 216 F -4 3 m217I -4 3 m218P -4 3 n219 F -4 3 c220I -4 3 d 221P m -3 m222P n -3 n223P m -3 n224P n -3 m225 F m -3 m 226 F m -3 c227 F d -3 m228 F d -3 c229I m -3 m230I a -3 d现代大跨度空间钢结构施工技术第1 页共7 页鲍广鉴1 李国荣1 王宏1 罗军1曾强2陈柏全2（1深圳建升和钢结构建筑安装公司、广东深圳重庆大学土木系，重庆摘要:本文详细介绍了大跨度钢结构施工技的研究与应用.重点探讨了滑移施工技术,非对称整体提升技术，特殊焊接技术等方面的问题，并以具体工程实例加以说明.关键词:大跨度空间施工技术,铸钢节点、滑移施工技术，整体提升施工技术Long-spaSpatial Steel Structure Construction TechnologyBAO guangjian1 Li guorong1 WANG hong1 LUO jun1 ZENG qiang2CHEN jianshenghe Steel Structure Construction Co.Ltd. of Chongqing Abstract：In this article the author presented the research and application of long—span spatial steelstructure construction. Furthermore, the writer discussed the crucial technology on sliding global lifting technology, special welding technology and gave the typical example oflong—span spatial steel structure construction。
晶体结构空间群表
令狐采学Symbols of the 230 Crystallographic Space Groups晶系(Crystal system)点群(Point group)空间群(Space group) 国际符号(HM)圣佛利斯符号(Schfl.)三斜晶系1 C1P1Ci P单斜晶系2 P2 P21 C2m Pm Pc Cm Cc2/m P2/m P21/m C2/m P2/c P21/C C2/c正交晶系222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121 mm2Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2令狐采学创作Fdd2 Imm2 Iba2 Ima2mmm Pmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca Pbam Pccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma Cmcm Cmca Cmmm Cccm Cmma Ccca Fmmm Fddd Immm Ibam Ibca Imma四方晶系4 P4 P41 P42P43 I4 I41P I4/m P4/m P42/m P4/n P42/n I4/m I41/a422P422 P4212 P4122 P41212 P4222 P42212 P4322 P43212 I422I41224mmP4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc I4mmI4cm I41md I41cd2mP 2m P2c P 21m P21c P m2 P c2 P b2 P n2 I m2I c2 I 2m I 2d4/mmmP4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmcP42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcmI41/amd I41/acd令狐采学创作三方晶系3 P3 P31P32R3P R32 P312 P321 P3112 P3121 P3212 P3221 R32 3m P3m1 P31m P3c1 P31c R3m R3cm P1m P 1c P m1 P c1 R m R c六方晶系6 P6 P61P65P62P64P63P6/m P6/m P63/m622 P622 P6122 P6522 P6222 P6422 P6322 6mm P6mm P6cc P63cm P63mcm2P m2 P c2 P 2m P2c6/mmm P6/mmm P6/mcc P63/mcm P63/mmc立方晶系23 P23 F23 I23 P213 I213m Pm3 Pn3 Fm3 Fd3 Im3 Pa3 Ia3432 P432 P4232 F432 F4132 I432 P4332 P4132 I41323m P 3m F 3m I3m P3n F3c I 3dm m Pm m Pn n Pm n Pn m Fm m Fm c Fd m Fd c Im m令狐采学创作Ia d1P 12P 13P 24P 215 C 2 6P m7P c8 C m9 C c10P 2/m11P21/m12 C 2/m13P 2/c14P 21/c15 C 2/c16P 22 217P 2 2 2118P 2121 219P 21 212120 C 2 2 2121C 22 222 F 2 2 223I 2 2224I 21 21 2125P m m 226P mc 2127P c c 228P ma 229P c a 2130P n c 231P mn 2132P b a 233P n a2134P n n 235 C m m 236C mc 2137 C c c 238A mm 239 A b m 240 A m a 241A ba 242 F m m 243F d d244I m m 245I b a 246I ma 247P m mm48P n nn49P c c m50P b a n令狐采学创作51P mm a52P n n a53P mn a54P c c a55P b a m56P c cn57P b c m58P n nm59P m m n60P b c n61P b ca62P n m a63C mc m64 C m c a65 C m m m66C cc m67 C m m a68C c ca69 F m m m70 F d d d71I mm m72I b a m73I b ca74I m m a75P 476P 4177P 4278P 4379I 480I 4181P 482I 483P4/m84P 42/m85P 4/n86P42/n87I 4/m88I41/a89P 4 2 290P 4 21 291P 412 292P 41 21293P 422 294P 42 21 295P 43 2 296P 4321 297I 4 2 298I 412 299P 4 m m100P 4 b m101P 42 102P 42 n 10P 4 c 104P 4 n c105P 42 m c令狐采学创作c m m3c106P 42b c107I 4 m m108I 4 cm109I 41 m d110I 41 c d111P 42 m112P 4 2 c113P 421 m114P 4 21 c115P 4 m 2116P 4 c2117P 4 b 2118P 4 n2119I 4 m 2120I 4 c 2121I 4 2m122I 4 2 d123P4/mm m124P 4/m c c125P 4/n b m126P4/nn c127P 4/m bm128P4/mn c129P 4/n m m130P 4/n c c131P42/m mc132P 42/mc m133P42/nb c134P 42/n nm135P 42/m b c136P42/m nm137P 42/nm c138P42/nc m139I 4/m m m140I 4/m c m令狐采学创作141I41/am d142I 41/a cd143P 3144P 31145P 32146R 3147P 3148R 3149P 3 1 2150P 3 2 1151P 311 2152P 31 2 1153P 321 2154P 32 2 1155R 3 2156P 3m 1157P 3 1 m158P 3 c1159P 3 1 c160R 3 m161R 3c162P 3 1 m163P 3 1c164P 3 m 1165P 3 c 1166R 3m167R 3 c168P 6169P 61170P 65171P 62172P 64173P 63174P 6175P 6/m176P63/m177P 6 2 2178P 612 2179P 65 2 2180P 62 2 2181P 642 2182P 63 2 2183P 6m m184P 6 c c185P 63 c m令狐采学创作186P 63m c187P 6 m 2188P 6 c2189P 6 2 m190P 6 2 c191P6/mm m192P 6/m cc193P63/mc m194P 63/m mc195P 2 3196F 23197I 2 3198P 213199I 21 3200P m 3201P n3202 F m 3203F d 3204I m 3205P a 3206I a 3207P 4 3 2208P 423 2209 F 4 3 2210 F 41 3 2211I 4 32212P 43 3 2213P 413 2214I 41 3 2215P 4 3 m216F 43 m217I 4 3 m218P 4 3n219 F 4 3 c220I 4 3 d221P m3 m222P n 3 n223P m3 n224P n 3 m225 F m 3 m226F m3 c227 F d 3 m228F d 3c229I m 3 m230I a 3 d令狐采学创作。
230种晶体学空间群
230种晶体学空间群230 种晶体学空间群的记号Symbols of the 230 Crystallographic Space Groups晶系(Crystal system)点群(Point group)空间群(Space group) 国际符号(HM)圣佛利斯符号(Schfl.)三斜晶系1 C1 P1C i P单斜晶系2 P2 P21 C2m Pm Pc Cm Cc2/m P2/m P21/m C2/m P2/c P21/C C2/c正交晶系222 P222 P2221 P21212P212121 C2221 C222 F222 I222 I212121 mm2Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2Fdd2 Imm2 Iba2 Ima2mmmPmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca PbamPccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma Cmcm CmcaCmmm Cccm Cmma Ccca Fmmm Fddd Immm Ibam IbcaImma四方晶系4 P4 P41 P42 P43 I4 I41P I4/m P4/m P42/m P4/n P42/n I4/m I41/a422P422 P4212P4122P41212P4222P42212P4322P43212I422I41224mmP4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc I4mmI4cm I41md I41cd2mP 2m P2c P 21m P21c P m2Pc2P b2 P n2Im2I c2 I 2m I 2d4/mmm P4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmc P42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcmI41/amd I41/acd三方晶系3 P3 P31 P32 R3P R32 P312 P321 P3112P3121P3212P3221R32 3m P3m1 P31m P3c1 P31c R3m R3cm P1m P 1c P m1 P c1 R m R c六方晶系6 P6 P61 P65 P62 P64 P63P6/m P6/m P63/m622 P622 P6122P6522P6222P6422P6322 6mm P6mm P6cc P63cm P63mcm2P m2 P c2 P 2m P2c6/mmm P6/mmm P6/mcc P63/mcm P63/mmc立方晶系23 P23 F23 I23 P213I213m Pm3 Pn3 Fm3 Fd3 Im3 Pa3 Ia3432 P432 P4232F432 F4132I432 P4332P4132I41323m P 3m F 3m I3m P3n F 3cI3dm mPm m Pn n Pm n Pn m Fm m Fm c Fd mFdcIm m Ia d空间群是点对称操作和平移对称操作的对称要素全部可能的组合。
晶体结构空间群表
欧阳歌谷（2021.02.01）Symbols of the 230 Crystallographic Space晶系(Crystal system)点群(Point group)空间群(Space group) 国际符号(HM)圣佛利斯符号(Schfl.)三斜晶系1 C1P1Ci P单斜晶系2 P2 P21 C2m Pm Pc Cm Cc2/m P2/m P21/m C2/m P2/c P21/C C2/c正交222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121mm2 Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21欧阳歌谷创编2021年2月1晶系Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2Fdd2 Imm2 Iba2 Ima2mmm Pmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca Pbam Pccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma Cmcm Cmca Cmmm Cccm Cmma Ccca Fmmm Fddd Immm Ibam Ibca Imma四方晶系4 P4 P41 P42P43 I4 I41P I4/m P4/m P42/m P4/n P42/n I4/m I41/a422P422 P4212 P4122 P41212 P4222 P42212 P4322 P43212 I422I41224mmP4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc I4mmI4cm I41md I41cd2mP 2m P2c P 21m P21c P m2 P c2 P b2 P n2 I m2I c2 I 2m I 2d4/mmmP4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmcP42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcm欧阳歌谷创编2021年2月1I41/amd I41/acd三方晶系3 P3 P31P32R3P R32 P312 P321 P3112 P3121 P3212 P3221 R32 3m P3m1 P31m P3c1 P31c R3m R3cm P1m P 1c P m1 P c1 R m R c六方晶系6 P6 P61P65P62P64P63P6/m P6/m P63/m622 P622 P6122 P6522 P6222 P6422 P6322 6mm P6mm P6cc P63cm P63mcm2P m2 P c2 P 2m P2c6/mmm P6/mmm P6/mcc P63/mcm P63/mmc立方晶系23 P23 F23 I23 P213 I213m Pm3 Pn3 Fm3 Fd3 Im3 Pa3 Ia3432 P432 P4232 F432 F4132 I432 P4332 P4132 I4132 3m P 3m F 3m I3m P3n F3c I 3d欧阳歌谷创编2021年2月1m m Pm m Pn n Pm n Pn m Fm m Fm c Fd m Fd c Im m Ia d1P 12P 13P 24P 215 C 2 6P m7P c8 C m9 C c10P 2/m11P21/m12 C 2/m13P 2/c14P 21/c15 C 2/c16P 22 217P 2 2 2118P 2121 219P 21 212120 C 2 2 2121C 22 222 F 2 2 223I 2 2224I 21 21 2125P m m 226P mc 2127P c c 228P ma 229P c a 2130P n c 231P mn 2132P b a 233P n a2134P n n 235 C m m 236C mc 2137 C c c 238A mm 239 A b m 240 A m a 241A ba 242 F m m 243F d d244I m m 245I b a 246I m 47P m m 48P n n 49P c c m50P b a n欧阳歌谷创编2021年2月1a 2m n51P mm a52P n n a53P mn a54P c c a55P b a m56P c cn57P b c m58P n nm59P m m n60P b c n61P b ca62P n m a63C mc m64 C m c a65 C m m m66C cc m67 C m m a68C c ca69 F m m m70 F d d d71I mm m72I b a m73I b ca74I m m a75P 476P 4177P 4278P 4379I 480I 4181P 482I 483P4/m84P 42/m85P 4/n86P42/n87I 4/m88I41/a89P 4 2 290P 4 21 291P 412 292P 41 21293P 422 294P 42 21 295P 43 2 296P 4321 297I 4 2 298I 412 299P 4 m m100P 4 b m欧阳歌谷创编2021年2月1101P 42c m102P 42 nm103P 4 cc104P 4 n c105P 42 m c106P 42b c107I 4 m m108I 4 cm109I 41 m d110I 41 c d111P 42 m112P 4 2 c113P 421 m114P 4 21 c115P 4 m 2116P 4 c2117P 4 b 2118P 4 n2119I 4 m 2120I 4 c 2121I 4 2m122I 4 2 d123P4/mm m124P 4/m c c125P 4/n b m126P4/nn c127P 4/m bm128P4/mn c129P 4/n m m130P 4/n c c131P42/m mc132P 42/mc m133P42/nb c134P 42/n nm135P 42/m b c136P42/m n137P 42/nm c138P42/nc m139I 4/m m m140I 4/m c m欧阳歌谷创编2021年2月1m141I41/am d142I 41/a cd143P 3144P 31145P 32146R 3147P 3148R 3149P 3 1 2150P 3 2 1151P 311 2152P 31 2 1153P 321 2154P 32 2 1155R 3 2156P 3m 1157P 3 1 m158P 3 c1159P 3 1 c160R 3 m161R 3c162P 3 1 m163P 3 1c164P 3 m 1165P 3 c 1166R 3m167R 3 c168P 6169P 61170P 65171P 62172P 64173P 63174P 6175P 6/m176P63/m177P 6 2 2178P 612 2179P 65 2 2180P 62 2 2181P 64 182P 63 2 218P 6 184P 6 c c185P 63 c m欧阳歌谷创编2021年2月12 23m m186P 63m c187P 6 m 2188P 6 c2189P 6 2 m190P 6 2 c191P6/mm m192P 6/m cc193P63/mc m194P 63/m mc195P 2 3196F 23197I 2 3198P 213199I 21 3200P m 3201P n3202 F m 3203F d 3204I m 3205P a 3206I a 3207P 4 3 2208P 423 2209 F 4 3 2210 F 41 3 2211I 4 32212P 43 3 2213P 413 2214I 41 3 2215P 4 3 m216F 43 m217I 4 3 m218P 4 3n219 F 4 3 c220I 4 3 d221P m3 m222P n 3 n223P m3 n224P n 3 m225 F m 3 m226F m3 c227 F d 3 m228F d 3c229I m 3 m230I a 3 d欧阳歌谷创编2021年2月1。
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Symbols of the 230 Crystallographic Space Groups
晶系(Crystal system)
点群
(Point group)
空间群(Space group) 国际符号
(HM)
圣佛利斯
符号
(Schfl.)
三斜晶系1 C1P1
C i P
单斜晶系
2 P2 P21 C2
m P m P c C m C c
2/m P2/m P21/m C2/m P2/c P21/C C2/c
正交晶系222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121 mm2
Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21
Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2
Fdd2 Imm2 Iba2 Ima2
同是寒窗苦读，怎愿甘拜下风！ 1
mmm Pmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca Pbam Pccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma Cmcm Cmca Cmmm Cccm Cmma Ccca Fmmm Fddd Immm Ibam Ibca Imma
四方晶系
4 P4 P41 P42P43 I4 I41
P I
4/m P4/m P42/m P4/n P42/n I4/m I41/a
422
P422 P4212 P4122 P41212 P4222 P42212 P4322 P43212 I422
I4122
4mm
P4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc I4mm
I4cm I41md I41cd
2m
P 2m P2c P 21m P21c
P
m2
P
c2
P b2 P n2
I
m2
I c2 I 2m I 2d
4/mmm P4/mmm P4/mcc P4/nbm P4/nnc P4/mbm P4/mnc P4/nmm P4/ncc P42/mmc
同是寒窗苦读，怎愿甘拜下风！ 2
P42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm I4/mmm I4/mcm I41/amd I41/acd
三方晶系3 P3 P31P32R3
P R
32 P312 P321 P3112 P3121 P3212 P3221 R32 3m P3m1 P31m P3c1 P31c R3m R3c
m P1m P 1c P m1 P c1 R m R c
六方晶系
6 P6 P61P65P62P64P63
P
6/m P6/m P63/m
622 P622 P6122 P6522 P6222 P6422 P6322 6mm P6mm P6cc P63cm P63mc
m2P m2 P c2 P 2m P2c
6/mmm P6/mmm P6/mcc P63/mcm P63/mmc
立方23 P23 F23 I23 P213 I213
同是寒窗苦读，怎愿甘拜下风！ 3
晶系m Pm3 Pn3 Fm3 Fd3 Im3 Pa3 Ia3 432 P432 P4232 F432 F4132 I432 P4332 P4132 I4132
3m P 3m F 3m I3m P3n F
3c
I
3d
m m Pm m Pn n Pm n Pn m Fm m Fm c Fd m
Fd
c
Im m Ia d
1P 12P -13P 24P 215 C 2
6P m7P c8 C m9 C c10P 2/m
11P 21/m12 C 2/m13P 2/c14P 21/c15 C 2/c
16P 2 2 217P 2 2 2118P 21 21 219P 21 21 2120 C 2 2 21
21 C 2 2 222 F 2 2 223I 2 2 224I 21 21 2125P m m 2
26P m c 2127P c c 228P m a 229P c a 2130P n c 2
同是寒窗苦读，怎愿甘拜下风！ 4
31P m n 2132P b a 233P n a 2134P n n 235 C m m 2
36 C m c 2137 C c c 238 A m m 239 A b m 240 A m a 2
41 A b a 242 F m m 243 F d d 244I m m 245I b a 2
46I m a 247P m m m48P n n n49P c c m50P b a n
51P m m a52P n n a53P m n a54P c c a55P b a m
56P c c n57P b c m58P n n m59P m m n60P b c n
61P b c a62P n m a63 C m c m64 C m c a65 C m m m
66 C c c m67 C m m a68 C c c a69 F m m m70 F d d d
71I m m m72I b a m73I b c a74I m m a75P 4
76P 4177P 4278P 4379I 480I 41
81P -482I -483P 4/m84P 42/m85P 4/n
86P 42/n87I 4/m88I 41/a89P 4 2 290P 4 21 2
91P 41 2 292P 41 21 293P 42 2 294P 42 21 295P 43 2 2
96P 43 21 297I 4 2 298I 41 2 299P 4 m m100P 4 b m
101P 42 c m102P 42 n m103P 4 c c104P 4 n c105P 42 m c
同是寒窗苦读，怎愿甘拜下风！ 5
106P 42 b c107I 4 m m108I 4 c m109I 41 m d110I 41 c d
111P -4 2 m112P -4 2 c113P -4 21 m114P -4 21 c115P -4 m 2
116P -4 c 2117P -4 b 2118P -4 n 2119I -4 m 2120I -4 c 2
121I -4 2 m122I -4 2 d123P 4/m m m124P 4/m c c125P 4/n b m
126P 4/n n c127P 4/m b m128P 4/m n c129P 4/n m m130P 4/n c c
131P 42/m m c132P 42/m c m133P 42/n b c134P 42/n n m135P 42/m b c
136P 42/m n m137P 42/n m c138P 42/n c m139I 4/m m m140I 4/m c m
141I 41/a m d142I 41/a c d143P 3144P 31145P 32
146R 3147P -3148R -3149P 3 1 2150P 3 2 1
151P 31 1 2152P 31 2 1153P 32 1 2154P 32 2 1155R 3 2
156P 3 m 1157P 3 1 m158P 3 c 1159P 3 1 c160R 3 m
161R 3 c162P -3 1 m163P -3 1 c164P -3 m 1165P -3 c 1
166R -3 m167R -3 c168P 6169P 61170P 65
171P 62172P 64173P 63174P -6175P 6/m
176P 63/m177P 6 2 2178P 61 2 2179P 65 2 2180P 62 2 2
同是寒窗苦读，怎愿甘拜下风！ 6
181P 64 2 2182P 63 2 2183P 6 m m184P 6 c c185P 63 c m
186P 63 m c187P -6 m 2188P -6 c 2189P -6 2 m190P -6 2 c
191P 6/m m m192P 6/m c c193P 63/m c m194P 63/m m c195P 2 3
196 F 2 3197I 2 3198P 21 3199I 21 3200P m -3
201P n -3202 F m -3203 F d -3204I m -3205P a -3
206I a -3207P 4 3 2208P 42 3 2209 F 4 3 2210 F 41 3 2
211I 4 3 2212P 43 3 2213P 41 3 2214I 41 3 2215P -4 3 m
216 F -4 3 m217I -4 3 m218P -4 3 n219 F -4 3 c220I -4 3 d
221P m -3 m222P n -3 n223P m -3 n224P n -3 m225 F m -3 m
226 F m -3 c227 F d -3 m228 F d -3 c229I m -3 m230I a -3 d
同是寒窗苦读，怎愿甘拜下风！7。