Strukturbericht designation
In crystallography, a Strukturbericht designation or Strukturbericht type is a system of detailed crystal structure classification by analogy to another known structure. The designations are intended to be a comprehensive designation for crystal structures, but is mainly used as supplement to space group designations, especially historically. Each Strukturbericht designation is described by a single space group, but the designation includes additional information about the positions of the individual atoms, rather than just the symmetry of the crystal structure. While Strukturbericht symbols exist for many of the earliest observed and most common crystal structures, the system is not comprehensive, and is no longer being updated. Modern databases such as Inorganic Crystal Structure Database index thousands of structure types directly by the prototype compound. These are essentially equivalent to the old Stukturbericht designations.
The designations were established by the journal Zeitschrift für Kristallographie – Crystalline Materials, which published its first round of supplemental reviews under the name Strukturbericht from 1913-1928. These reports were collected into a book published in 1931 by Paul Peter Ewald and C. Hermann which became Volume 1 of Strukturbericht. While the series was continued after the war under the name Structure reports, which was published through 1990, the series stopped generating new symbols. Instead, some new additional designations were given in books by Smithels, and Pearson.
For the first volume, the designation consisted of a capital letter specifying a broad category of compounds, and then a number to specify a particular crystal structure. In the second volume, subscript numbers were added, some early symbols were modified, and the categories modified. In the third volume, the class I was renamed J. Later designations began to use a lower case letter in subscripts as well.
A-compounds
The 'A' compounds are reserved for structures made up of atoms of all the same chemical element.Strukturbericht designation | Diagram | Prototype | Space group | Description |
A1 | Cu | Fmm | Cubic close-packed structure | |
A2 | W | Imm | Body-centered cubic structure | |
A3 | Mg | P63/mmc | Hexagonal close-packed structure | |
A3' | α-La | P63/mmc | α-La structure | |
A4 | C | Fdm | Diamond cubic structure | |
A5 | β-Sn | I41/amd | ||
A6 | Indium | I4/mmm | Indium structure | |
A7 | α-As | Rm | ||
A8 | γ-Se | P3121 | ||
A9 | C | P63/mmc | Hexagonal graphite structure | |
A10 | α-Hg | Rm | ||
A11 | α-Ga | Cmca | α-Gallium structure | |
A12 | α-Mn | I3m | α-Manganese structure | |
A13 | β-Mn | P4132 | β-Manganese structure | |
A14 | I2 | Cmca | Molecular iodine structure | |
A15 | β-W | Pmn | Weaire–Phelan structure | |
A16 | α-S | Fddd | ||
A17 | P | Cmca | Black phosphorus structure | |
A18 | Cl | P42/ncm | Incorrect structure | |
A19 -> Ai, Ah | Po | C2 | ||
A20 | α-U | Cmcm | ||
Aa | α-Pa | I4/mmm | ||
Ab | β-U | P42/mnm | ||
Ac | α-Np | Pnma | ||
Ad | β-Np | P4/nmm | ||
Af | γ-HgSn6-10 | P6/mmm | ||
Ag | B | P42/nnm | ||
Ah | α-Po | Pmm | Simple cubic structure | |
Ai | β-Po | Rm | ||
Ak | Se | P21/c | ||
Al | β-Se | P21/c |
B-compounds
'B' designates compounds of two elements with equal numbers of atoms.Strukturbericht designation | Diagram | Prototype | Space group | Description |
B1 | NaCl | Fmm | Rock salt structure | |
B2 | CsCl | Pmm | Cesium chloride structure | |
B3 | ZnS | F3m | Zincblende structure | |
B4 | ZnS | P63mc | Wurtzite crystal structure | |
B5 | 4H SiC | P63mc | Moissanite structure | |
B6 | 6H SiC | P63mc | Moissanite structure | |
B7 | Si-C 15R | R3m | 15R-SiC structure | |
B8 -> B81 | ||||
B81 | NiAs | P63/mmc | Nickeline structure | |
B82 | Ni2In | P63/mmc | ||
B9 | α-HgS | P3221 | Cinnabar structure | |
B10 | PbO | P4/nmm | Lead oxide/Litharge structure | |
B11 | γ-CuTi | P4/nmm | ||
B12 -> Bk | BN | P63mc | Originally reported boron nitride structure | |
B13 | β-NiS | R3m | β-Nickel sulfide/Millerite structure | |
B14 | FeAs | Pnma | Westerveldite structure | |
B15 -> B27 | ||||
B16 | GeS | Pnma | Germanium sulfide/Herzenbergite structure | |
B17 | PtS | P42/mmc | Platinum sulfide/Cooperite structure | |
B18 | CuS | P63/mmc | Copper monosulfide/Covellite structure | |
B19 | β′-AuCd | Pmma | The martensitic β′-AuCd structure | |
B20 | FeSi | P213 | FeSi/Fersilicite structure | |
B21 | α-CO | P213 | α-Carbon monoxide structure | |
B24 | TlF-II | Fmmm | Originally reported Thallium fluoride structure | |
B26 | CuO | C2/c | Copper oxide/Tenorite structure | |
B27 | FeB | Pnma | Iron boride structure | |
B28 -> B20 | ||||
B29 -> B16 | SnS | Pnma | Tin sulfide structure | |
B30 | MgZn | Imm2 | ||
B31 -> B14 | MnP | Pnma | ||
B32 | NaTl | Fdm | ||
B33 | CrB | Cmcm | Chromium boride structure | |
B34 | PdS | P42/m | Palladium sulfide structure | |
B35 | CoSn | P6/mmm | ||
B37 | SeTl | I5/mcm | ||
Ba | CoU | I213 | ||
Bb | ζ-AgZn | P | ||
Bc -> B33 | CaSi | |||
Bd | η-NiSi | |||
Be | CdSb | Pbca | ||
Bf -> B33 | CrB | |||
Bg | MoB | I41/amd | Molybdenum boride structure | |
Bh | WC | Pm2 | Tungsten carbide structure | |
Bi | AsTi | P63/mmc | ||
Bk | BN | P63/mmc | Boron nitride structure | |
Bl | AsS | |||
Bm | TiB |
C-compounds
'C' designates compounds of the stoichiometry AB2.Strukturbericht designation | Diagram | Prototype | Space group | Description |
C1 | CaF2 | Fmm | Fluorite structure | |
C1b | AgAsMg | F3m | Half Heusler structure | |
C2 | FeS2 | Pa | Pyrite structure | |
C3 | Cu2O | Pnm | Cuprite structure | |
C4 | TiO2 | P42mnm | Rutile structure | |
C5 | TiO2 | I41/amd | Anatase structure | |
C6 | CdI2 | Pm1 | Cadmium iodide structure | |
C7 | MoS2 | P63/mmc | Molybdenum disulfide structure | |
C8 | β-SiO2 | P6222 | β-Quartz structure | |
C9 | β-Cristobalite | Fdm | Idealized β-Cristobalite structure | |
C10 | β-Tridymite | P63/mmc | β-Tridymite structure | |
C11 -> C11a,C11b | ||||
C11a | CaC2 | I4/mmm | ||
C11b | MoSi2 | I4/mmm | Molybdenum disilicide structure | |
C12 | CaSi2 | |||
C13 | HgI2 | P42/nmc | Coccinite structure | |
C14 | MgZn2 | P63/mmc | MgZn2 Laves phase | |
C15 | MgCu2 | Fdm | MgCu2 Laves phase | |
C15b | AuBe5 | F3m | ||
C16 | CuAl2 | I4/mcm | Khatyrkite structure | |
C18 | FeS2 | Pnnm | Marcasite structure | |
C19 | α-Sm | R | α-Samarium structure | |
C21 | TiO2 | Pbca | Brookite structure | |
C22 | Fe2P | P321 | ||
C23 | PbCl2 | Pnma | Cotunnite structure | |
C24 | HgBr2 | Cmc21 | Mercury bromide structure | |
C25 -> C28 | HgCl2 | Pnma | Mercury chloride structure | |
C27 | CdI2 | P63mc | ||
C28 | HgCl2 | |||
C29 -> C23 | SrH2 | Pnma | Strontium hydride structure | |
C30 | SiO2 | P41212 | α–Cristobalite structure | |
C32 | AlB2 | P6/mmm | Aluminium bromide structure | |
C33 | Bi2Te3 | Rm | Bismuth telluride structure | |
C34 | AuTe2 | C2/m | ||
C35 | CaCl2 | Pnnm | Calcium chloride structure | |
C36 | MgNi2 | P63/mmc | MgNi2 Laves phase | |
C37 | Co2Si | Pnma | ||
C38 | Cu2Sb | P4/nmm | ||
C39 -> C15 | ||||
C40 | CrSi2 | P6222 | ||
C41 -> C14 | ||||
C42 | SiS2 | Ibam | Silicon disulfide structure | |
C43 | ZrO2 | P21/c | Baddeleyite structure | |
C44 | GeS2 | Fdd2 | Germanium disulfide structure | |
C46 | AuTe2 | Pma2 | Krennerite structure | |
C47 | SeO2 | P42/mbc | Selenium dioxide structure | |
C48 -> C11b | ||||
C49 | ZrSi2 | Cmcm | ||
C50 | PdCl2 | Pnnm | α-Palladium chloride structure | |
C51 -> C16 | ||||
C53 | Sr Br2 | P4/n | ||
C54 | TiS2 | Fddd | Titanium disilicide structure | |
Ca | Mg2Ni | P6222 | ||
Cb | CuMg2 | Fddd | ||
Cc | ThSi2 | I41/amd | ||
Ce | PdSn2 | Aba2 | ||
Cg | ThC2 | C2/c | ||
Ch | Cu2Te | P6/mmm | ||
Ck | LiZn2 |
D-compounds
'D' designates compounds of arbitrary stoichiometry. Originally, D1-D10 were set aside for stoichiometry AB3, D11-D20 for stoichiometry ABn for n > 3, D31-D50 for 2, and D51 up for the AmBn for arbitrary m and n.Strukturbericht designation | Diagram | Prototype | Space group | Description |
D02 | CoAs3 | Im | Skutterudite structure | |
D03 | BiF3 | Fmm | Bismuth trifluoride structure | |
D04 | CrCl3 | P3112 | Chromium chloride structure | |
D05 | BiI3 | R | Bismuth iodide structure | |
D06 | LaF3 | Pc1 | Lanthanum trifluoride/Fluocerite structure | |
D09 | α-ReO3 | Pm | α-Rhenium trioxide structure | |
D011 | Fe3C | Pnma | Cementite structure | |
D012 | FeF3 | Rc | ||
D014 -> D012 | AlF3 | R32 | Aluminium fluoride structure | |
D015 | AlCl3 | C2/m | Aluminium chloride structure | |
D017 | BaS3 | P21m | ||
D018 | Na3As | P63/mmc | Sodium arsenide structure | |
D019 | Ni3Sn | P63/mmc | ||
D020 | Al3Ni | Pnma | ||
D021 | Cu3P | P63cm | Copper phosphide structure | |
D022 | Al3Ti | I4/mmm | ||
D023 | Al3Zr | I4/mmm | ||
D024 | Ni3Ti | P63/mmc | ||
D0a | β-TiCu3 | Pmmn | ||
D0c -> D0'c | SiU3 | I4/mcm | ||
D0'c | Ir3Si | I4/mcm | ||
D0d | AsMn3 | Cmcm | ||
D0e | Ni3P | I | ||
D1 | NH3 | P213 | ||
D12 | SiF4 | I3m | Silicon tetrafluoride structure | |
D13 | Al4Ba | I4/mmm | ||
D1a | Ni4Mo | I4/m | ||
D1b | Al4U | Imma | ||
D1c | PtSn4 | Aba2 | ||
D1d | Pb4Pt | P4/nbm | ||
D1e | B4Th | P4/mbm | B4Th structure | |
D1f -> Cb | Mn4B | |||
D1g | B4C | |||
D2 -> D02 | ||||
D21 | CaB6 | Pmm | Calcium hexaboride structure | |
D23 | NaZn13 | Fmc | ||
D2b | Mn12Th | I4/mmm | ||
D2c | MnU6 | I4/mcm | ||
D2d | CaCu5 | P6/mmm | ||
D2e | BaHg11 | Pm | ||
D2f | UB12 | Fmm | ||
D2g | Fe8N | I4/mmmm | ||
D2h | Al6Mn | Cmcm | ||
D31 | Hg2Cl2 | I4/mmm | Calomel structure | |
D51 | Al2O3 | Rc | Corrundum structure | |
D52 | La2O3 | Pm1 | ||
D53 | Mn2O3 | Ia | Manganese oxide/Bixbyite structure | |
D54 | Sb2O3 | Fdm | ||
D55 | Ag2O3 | Pnm | ||
D58 | Sb2S3 | Pnma | Antimony trisulfide/Stibnite structure | |
D59 | Zn3Pt2 | P42/nmc | ||
D510 | Cr3C2 | Pnma | ||
D511 | Sb2O3 | Pccn | Antimony trioxide/Valentinite structure | |
D512 | β–Bi2O3 | |||
D513 | Al3Ni2 | Pma | ||
D5a | Si2U3 | P4/mbm | ||
D5b | Pt2Sn3 | P63/mmc | ||
D5c | Pu2C3 | I3d | ||
D5e | Ni3S2 | R32 | Nickel subsulfide/Heazlewoodite structure | |
D5f | As2S3 | P21/n | Arsenic trisulfide structure | |
D71 | Al4C3 | Rm | Aluminium carbide structure | |
D72 | Co3S4 | Fdm | ||
D73 | Th3P4 | I3d | Th3P4 structure | |
D7a | ?-Ni3Sn4 | |||
D7b | Ta3B4 | Immm | ||
D81 | Fe3Zn10 | I3m | ||
D82 | Cu5Zn8 | I3m | Gamma brass structure | |
D83 | Cu9Al4 | P3m | ||
D84 | Cr23C6 | Fmm | Cr23C6 crystal structure/Chromium carbide structure | |
D85 | Fe7W6 | Rm | ||
D86 | Cu15Si4 | I3d | ||
D88 | Mn5Si3 | P63/mcm | ||
D89 | Co9S8 | Fmm | ||
D810 | Cr5Al8 | R3m | ||
D811 | Co2Al5 | P63/mmc | ||
D8a | Mn23Th6,Cu16Mg6Si7 | Fmm | ||
D8b | σ-CrFe | P42/mnm | ||
D8c | Mg2Zn11 | Pm | ||
D8d | Co2Al9 | P21/c | ||
D8e | Mg3249 | Im | ||
D8f | Ge7Ir3 | Imm | ||
D8g | Ga2Mg5 | Ibam | ||
D8h | W2B5 | P63/mmc | ||
D8i | Mo2B5 | Rm | ||
D8k | Th7S12 | P63/m | ||
D8l | Cr5B4 | I4/mcm | ||
D8m | W5Si3 | I4/mcm | ||
D101 | C3Cr7 | Pnma | ||
D102 | Fe3Th7 | P63mc | ||
D31 -> D31 | ||||
D51 -> D51 | ||||
D52 -> D52 | ||||
D61 -> D61 | ||||
D81 -> D81 | ||||
D82 -> D82 | ||||
D83 -> D83 |
E to K compounds
Letters between 'E' and 'K' designate more complex compounds.Strukturbericht designation | Diagram | Prototype | Space group | Description |
E01 | PbFCl | P4/nmm | Matlockite structure | |
E03 | CdOHCl | P63mc | ||
E05 | FeOCl | Iron oxychloride structure | ||
E07 | FeAsS | P21/c | ||
E11 | CuFeS2 | I2d | Chalcopyrite structure | |
E1a | MgCuAl2 | Cmcm | ||
E1b | AgAuTe4 | P2/c | Sylvanite structure | |
E21 | CaTiO3 | Pmm | Perovskite structure | |
E22 | FeTiO3 | R | Ilmenite structure | |
E24 | NH4CdC13 | Pnma | ||
E3 | CdAl2S4 | I | ||
E33 | FeSb2S4 | Pnam | Berthierite structure | |
E81 | Eu2Ir2O7 | Fdm | ||
E91 | Ca3Al2O6 | Pmm | ||
E93 | Fe3W3C | Fdm | ||
E94 | Al5C3N | P63mc | ||
E9a | Al7Cu2Fe | P4/mnc | ||
E9b | Al8FeMg3Si6 | P2m | ||
E9c | Mn3Al9Si | P63/mmc | ||
E9d | AlLi3N2 | Ia | ||
E9e | CuFe2S3 | Pnma | Cubanite structure | |
F01 | NiSSb | P213 | Ullmannite structure | |
F02 | COS | R3m | Carbonyl sulfide structure | |
F51 | CrNaS2 | Rm | ||
F52 | KN3 | I4/mcm | ||
F54 | NH4O2Cl | P21m | ||
F56 | CuSbS2 | Pnma | Chalcostibite structure | |
F59 | KCNS | Pbcm | ||
F510 | KAg2 | P1c | ||
F513 | KBO2 | Rc | ||
F5a | FeKS2 | C2/c | ||
F51 -> F51 | ||||
F52 -> F52 | ||||
F61 -> E11 | ||||
G01 | CaCO3 | Rc | Calcite structure | |
G02 | CaCO3 | Pmcn | Aragonite structure | |
G06 | KClO3 | P21/m | ||
G3 | NaClO3 | P213 | Sodium chlorate structure | |
G32 | Na2SO3 | P | Sodium sulfite structure | |
G4 -> E22 | ||||
G5 -> E21 | ||||
G71 | CeCO3F | P2c | Bastnäsite structure | |
H01 | CaSO4 | Cmcm | Anhydrite structure | |
H02 | BaSO4 | Pnma | Baryte structure | |
H03 -> S11 | ||||
H05 | KClO4 | Pnma | Potassium perchlorate structure | |
H07 | BPO4 | I | ||
H1 -> H01 | ||||
H11 | Al2MgO4 | Fdm | Spinel structure | |
H12 -> S12 | ||||
H13 -> S13 | ||||
H15 | K2PtC14 | P4/mmmm | ||
H16 | β-K2SO4 | Pnma | ||
H2 -> H02 | ||||
H21 | Ag3PO4 | P3n | Silver phosphate structure | |
H24 | Cu3S4V | P3m | ||
H25 | AsCu3S4 | Pmn21 | Enargite structure | |
H26 | Cu2FeS4Sn | I2m | Stannite structure | |
H3 -> S11 | ||||
H31 -> S14 | ||||
H4 | CaWO4 | I41/a | Scheelite structure | |
H57 | Ca53F,Cl,OH | P63/m | Apatite structure | |
H11 -> H11 | ||||
H12 -> S12 | ||||
H13 -> S13 | ||||
H15 -> H15 | ||||
H31 -> S14 | ||||
H61 -> J11 | ||||
I11 -> J11 | ||||
I113 -> J113 | ||||
J11 | K2PtCl6 | Fmm | ||
J113 | K2GeF6 | Pm1 | ||
K01 | K2S2O5 | P21/m | ||
K11 | KSO3 | P321 | ||
K12 | CsSO3 | P63mc | ||
K31 | Cs3CoC15 | I4/mcm | ||
K41 | NH4SO4 | P21/c |
L-compounds
'L' designates alloys.Strukturbericht designation | Diagram | Prototype | Space group | Description |
L10 | CuAu | P4/mmm | ||
L11 | CuPt | Rm | ||
L12 | Cu3Au | Pmm | Cu3Au structure | |
L13 | CdPt3 | Cmmm | ||
L1a | CuPt3 | |||
L21 | AlCu2Mn | Fmm | Heusler compounds | |
L22 | Sb2Tl7 | Imm | ||
L2a | ?-CuTi | P4/mmm | ||
L60 | CuTi3 | P4/mmm | ||
L'1 | Fe4N | Pmm | ||
L'12 | AlF3C | Perovskite structure | ||
L'2 | ThH2 | I4/mmm | ||
L'2b | ThH2 | I4/mmm | ||
L'3 -> B81 | Fe2N | |||
L'32 | β-V2N | P1m | ||
L60 | Ti3Cu | P4/mmm | ||
L10 -> L10 | ||||
L'10 -> L'1 | ||||
L11 -> L11 | ||||
L12 -> L12 | ||||
L13 -> L13 | ||||
L20 -> B2 | ||||
L'20 -> L'2 | ||||
L21 -> L21 | ||||
L22 -> L22 |
S-compounds
Strukturbericht designation | Diagram | Prototype | Space group | Description |
S11 | ZrSiO4 | I41/amd | Zircon structure | |
S12 | Mg2SiO4 | Pnma | Forsterite structure | |
S13 | Be2SiO4 | R | Phenakite structure | |
S14 | Al2Ca3Si3O12 | Iad | Garnet structure | |
S21 | Sc2Si2O7 | C2/m | Thortveitite structure | |
S31 | Be3Al2Si6O18 | P6/mcc | Beryl structure | |
S32 | BaSi4O9 | Pc2 | ||
S53 | Ca2MgSi2O7 | P21m | Åkermanite structure | |
S6 | NaAlSi2O6H2O | I3d | ||
S62 | Na8Al6Si6O24Cl2 | P3n |