晶体结构空间群表
晶体结构空间群表之欧阳史创编
时间：2021.02.10 创作：欧阳史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欧阳史创编2021..02.10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 I41cd2m P 2m P2c P 21m P21c P m2 P c2 P b2 P n2 I m2欧阳史创编2021..02.10I 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/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 6mm P6mm P6cc P63cm P63mcm2P m2 P c2 P 2m P2c6/mmm P6/mmm P6/mcc P63/mcm P63/mmc欧阳史创编2021..02.10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 mPm m Pn n Pm n Pn m Fm m Fm c Fd m Fd c Im mIa 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 m 32P b a 233P n a 34P n n 235 C m m 2欧阳史创编2021..02.10n 212136C 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 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 483P 84P 42/m85P 4/n欧阳史创编2021..02.104/m86P42/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 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 m126P 127P 4/m b 12P 129P 4/n m m130P 4/n c c欧阳史创编2021..02.104/n n c m84/mn 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 m141I41/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 3 162P 3 1 m16P 3 1 164P 3 m 1165P 3 c 1欧阳史创编2021..02.10c3c166R 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 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 3欧阳史创编2021..02.10欧阳史创编 2021..02.10206 I a 3 207 P 4 3 2 208P 42 3 2 209 F 4 3 2 210 F 41 3 2 211 I 4 3 2 212 P 43 3 2 213 P 41 3 2 214 I 41 3 2 215 P 4 3 m 216 F 4 3 m 217 I 4 3 m 218 P 4 3 n 219 F 4 3 c 220 I 4 3 d 221 P m 3 m 222 P n 3 n 223 P m 3 n 224 P n 3 m 225 F m 3 m 226 F m 3 c227 F d 3 m228 F d 3 c229 I m 3 m230 I a 3 d。
晶体结构空间群表之欧阳引擎创编
欧阳引擎（2021.01.01）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 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222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121mm2 Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21欧阳引擎创编 2021.01.01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 P2cP21mP21c P m2 P c2 P b2 P n2Im2I c2 I 2mI2d4/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欧阳引擎创编 2021.01.01I41/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 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 I4132欧阳引擎创编 2021.01.013m P 3m F 3m I3m P3n F3c I 3dm m Pm m Pn n Pm n Pn m Fm m Fm c Fd mFdcIm m Ia d1P 12P -13P 24P 215 C 2 6P 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 2121C 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 n欧阳引擎创编 2021.01.0151P 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 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 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 -4 112P -4 2 c113P -4 114P -4 21115P -4 m 2欧阳引擎创编 2021.01.012 m21mc116P -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 m126P4/nn c127P 4/m b m128P4/mn c129P 4/nm m130P 4/n c c131P42/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 m欧阳引擎创编 2021.01.01161R 3c162P -3 1 m163P -31 c164P -3 m1165P -3 c 1166R -3m167R -3 c168P 6169P 61170P 65171P 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 m216 F -4 217I -4 3 m218P -4 219 F -4 3 220I -4 3 d欧阳引擎创编 2021.01.013 m 3 n c221P m-3m222P n -3 n223P m-3 n224P n -3m225 F m -3 m226F m-3 c227 F d -3 m228F d-3 c229I m -3m230I a -3 d欧阳引擎创编 2021.01.01。
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。
晶体结构空间群表之欧阳数创编
时间：2021.03.02 创作：欧阳数Symbols of the 230 CrystallographicSpace 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2 P2 P21 C2m Pm Pc Cm Cc欧阳数创编晶系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欧阳数创编2m P 2m P2c P 21m P21c P m2 P c2 P b2 P n2 I m2 I 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/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 6mm P6mm P6cc P63cm P63mcm2P m2 P c2 P 2m P2c欧阳数创编6/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 mPm m Pn n Pm n Pn m Fm m Fm c Fd m Fd c Im mIa 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 2欧阳数创编31P 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 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 41欧阳数创编81P 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 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 m欧阳数创编126P4/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 m141I41/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 m欧阳数创编161R 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 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 n 202 F m 320 F d 3204I m 3205P a 3欧阳数创编欧阳数创编3 3206 I a 3 207 P 4 3 2 208 P 42 3 2 209 F 4 3 2 210 F 41 3 2 211 I 4 3 2 212 P 43 3 2 213 P 41 3 2 214 I 41 3 2 215 P 4 3 m 216 F 4 3 m 217 I 4 3 m 218 P 4 3 n 219 F 4 3 c 220 I 4 3 d 221 P m 3 m 222 P n 3 n 223 P m 3 n 224 P n 3 m 225 F m 3 m 226 F m 3 c227 F d 3 m228 F d 3 c229 I m 3 m230 I a 3 d。
晶体对称性与空间群表
晶体对称性与空间群表表3.1.七个晶系三斜 triclinic a≠b ≠c; α≠β≠γ单斜 monoclinic a≠ b≠ c; α = γ = 90º,β≠ 90º正交 orthorhombic a≠b≠c; α= β = γ = 90º四方 tetragonal a = b≠c; α = β = γ = 90º六方 hexagonal a = b≠c;α = β = 90º, γ = 120º三方 trigonal a = b = c; α=β= γ≠ 90º立方 cubic a = b = c; α= β= γ= 90º注释：表中“≠”仅指不需要等于。
表3.2.七个晶系的特征对称元素晶系特征对称元素三斜无单斜一个二次对称轴或对称面正交三个互相垂直的二次对称轴或两个互相垂直的对称面四方有一个四次对称轴六方有一个六次对称轴三方有一个三次对称轴立方四个立方体对角线上有三次轴注：对称轴包括旋转、螺旋轴；对称面包括镜面和滑移面。
cP cFcI图3.5.14种Bravais晶格。
aP = 三斜（triclinic）, mP = 简单单斜（monoclinic primitive）, mC = 底心单斜（monoclinic C-centered），oP = 简单正交（orthorombic primitive），oC = C 底心正交（orthorombic C-centered，取轴方法不同，可以相当于A心底），oI = 体心正交（orthorombic body-centered），oF = 面心正交（orthorombic face-centered），tP = 简单四方（tetragonal primitive），tI = 体心四方（tetragonal body-centered），hP = 简单三方或六方（trigonal or hexagonal primitive），hR = 菱面体、按六方取晶胞（Rhombohedral hexagonal setting），cP = 简单立方（cubic primitive），cI = 体心立方（cubic body-centered），cF = 面心立方（cubic face-centered）。
常见九种典型的晶体结构_图文
4 萤石结构
空间群：Fm3m，立方面心结构。 Ca分布于晶胞的角顶及面心；F分布在晶胞8等分 之后每个小立方体的中心。
萤石结构可以理 解为：Ca2+ 做立 方最紧密堆积，F充填在其中全部的 四面体孔隙中。N 个球最紧密堆积有 2N个四面体空隙 ，所以Ca:F= 1:2 ，故得其分子式为 CaF2。
α-铁（Iron-alpha） ---（奥氏体） --立方体心 γ-铁（Iron-gama） --（马氏体）--立方面心 ε-铁（Iron- Epsilon） --六方结构
2 氯化铯(CsCl)结构
空间群：Pm3m，立方原始格子。
阴离子分布在晶胞的8个角顶，阳离子充填 在其所形成的立方体空隙中。立方体共面连 接。
如果金刚石晶胞沿一个L3立起来，金刚石似乎显示出层状结 构特征，虽然不是很特征，但金刚石的确平行{111}存在中等 解理。
由于C-C键的键能大（347 kJ/mo），价电子都参与了共价 键的形成，使得晶体中没有自由电子，所以金刚石是自然界中 最坚硬的固体，熔点高达3550 ℃。
金刚石及其等结构物质比较
具有该结构的物质主要有：KCl, NaCl, TiCl, RbF, CsN, NbN, NbO, AgI, TiTh等物质。
3 CaI2结构
空间群：P-3m，三方原始格子。
在单位晶胞中，阳离子分布在8个角顶，阴离子分 布中由上下各3个阳离子构成的正三方柱中，并间 隔地在上半部的中心和下半部的中心。
闪锌矿的晶体结构：球键图(左)、配位多面体连接图(右)
结构中，S2- 和Zn2+配位数都是4，配位多面体都 是四面体。四面体共角顶相联。
晶体结构空间群表之令狐文艳创作
令狐文艳Symbols of the 230 Crystallographic SpaceGroups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222 P222 P2221 P21212 P212121 C2221 C222 F222 I222 I212121令狐文艳创作晶系mm2 Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2 Pna21 Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Abm2 Ama2 Aba2 Fmm2 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 P2cP21mP21c P m2 P c2 P b2 P n2Im2I c2 I 2mI2d4/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令狐文艳创作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 6mm 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 I4132 3m P 3m F 3m I3m P3n F3c I令狐文艳创作3dm m Pm m Pn n Pm n Pn m Fm m Fm c Fd mFdcIm m Ia d1P 12P -13P 24P 215 C 2 6P 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 2121C 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 m 52P n n a53P m 54P c c a55P b a m令狐文艳创作m a n a56P 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 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 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 2令狐文艳创作116P -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 m126P4/nn c127P 4/m b m128P4/mn c129P 4/nm m130P 4/n c c131P42/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 1令狐文艳创作166R -3m167R -3 c168P 6169P 61170P 65171P 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 d221P m 222P n -3 n223P m 224P n -3 225 F m -3 m令狐文艳创作-3m-3 n m226F m-3 c227 F d -3 m228F d-3 c229I m -3m230I a -3 d令狐文艳创作。