Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: ABC_tP6_129_c_a_c-001

This structure previously used the label(s) ABC_tP6_129_c_a_c. Calls to these addresses will be redirected here.

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https://aflow.org/p/0VRY
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Matlockite ($E0_{1}$, PbFCl) Structure: ABC_tP6_129_c_a_c-001

Picture of Structure; Click for Big Picture
Prototype ClFPb
AFLOW prototype label ABC_tP6_129_c_a_c-001
Strukturbericht designation $E0_{1}$
Mineral name matlockite
ICSD 82884
CCDC 1642941
Pearson symbol tP6
Space group number 129
Space group symbol $P4/nmm$
AFLOW prototype command aflow --proto=ABC_tP6_129_c_a_c-001
--params=$a, \allowbreak c/a, \allowbreak z_{2}, \allowbreak z_{3}$

Other compounds with this structure

AlMnGe,  AmOI,  AmSbTe,  AsBeLi,  AsCoLi,  AsCrLi,  AsCuMn,  AsFeLi,  AsMgNa,  AsMnNa,  AsNiRh,  AsSiSb,  AsSiTa,  AsVMn,  AsZnNa,  BaFCl,  BaHCl,  BaMnGe,  BiMgNa,  BiCaK,  BiMnK,  BiMnNa,  BiOF,  BiZnNa,  BrOGd,  BrOLa,  BrONd,  BrOPu,  BrOSm,  CeClTe,  CeFS,  CeMnGe,  CeMnSi,  CeSbSe,  CeSbTe,  CeTiGe,  CoGdSi,  CsNaS,  CsNaSe,  CsNaTe,  CuFeAs,  DyFeSi,  DyScSb,  DyTiGe,  DyTiSi,  ErFS,  ErTiGe,  ErTiSi,  EsOCl,  EuFCl,  EuHCl,  FeCuTe,  FeLiAs,  FeMnAs,  GaMnGe,  GdBiTe,  GdFS,  GdMnSi,  GdSbTe,  GdScSb,  GdTiGe,  GdTiSi,  GeMnGe,  GeMnNd,  HfGeS,  HfGeSe,  HfGeTe,  HfSiS,  HfSiSe,  HfSiTe,  HfVSi,  HoFS,  HoGeTi,  HoTiSi,  KAgSe,  KLiSe,  KLiTe,  KMgAs,  KMgP,  KMgSb,  KNaO,  LaBiTe,  LaClTe,  LaFS,  LaFSe,  LaGeMn,  LaGeTi,  LaMnSi,  LaSbTe,  LiBeP,  LiFeP,  LuGeTi,  LuTiSi,  MgAgSb,  MgCoGe,  MgCuAs,  MgSbAg,  MoKNa,  MnCuSb,  NaAlGe,  NaAlSi,  NaFeAs,  NaLiS,  NaMgSb,  NaMnP,  NaMnSb,  NaZnSb,  NdClTe,  NdFS,  NdFSe,  NdFTe,  NdMnSi,  NdOCl,  NdSbTe,  NdTiGe,  NpAsS,  NpAsSe,  NpAsTe,  NpOS,  NpSbTe,  PAsU,  PbClF,  PdNiGe,  PrClTe,  PrCoSi,  PrFS,  PrMnGe,  PrMnSi,  PrOCl,  PrSbTe,  PrTiGe,  PuOCl,  PuOIO,  PuSbTe,  RbNaS,  SbFeZn,  SbGeTi,  SbGeZr,  SbMnZn,  SbScTb,  SeGeZr,  SiFeTb,  SiMnSm,  SiMnTb,  SiMnY,  SiTiTb,  SmCoSi,  SmFCl,  SmFS,  SmSbTe,  SmTiGe,  SnMnSr,  SrFCl,  SrHCl,  SrHI,  TbSF,  TbTiGe,  ThAsS,  ThAsSe,  ThAsTe,  ThBiTe,  ThOS,  ThPS,  ThPSe,  ThSbSe,  ThSbTe,  TmTiGe,  UAsS,  UAsSe,  UAsTe,  UBiTe,  UGeS,  UNTe,  UOS,  UPS,  UPSe,  USSb,  USSi,  USbAs,  USbSe,  USbTe,  USnTe,  YFS,  YOCl,  YTiGe,  YTiSi,  YbFCl,  ZrGeS,  ZrGeTe,  ZrOSiO,  ZrSiS,  ZrSiSe,  ZrSiTe,  ZrSnTe,  ZrVSi


  • Matlockite ($E0_{1}$) and PrOI have the same AFLOW prototype label, ABC_tP6_c_a_c. They are generated by the same symmetry operations with different sets of parameters (--params) specified in their corresponding CIF files.
  • Indeed, (Potapova, 1977) state that PrOI is a Matlockite structure, but both AFLOW and the ICSD agree that they are different enough to warrant listing them as separate prototypes.
  • In both cases we have $z_{3} ≈ - z_{2}$. We somewhat arbitrarily assign structures with the min($z_{2}$,$z_{3}$) $<$ 0.199 to the PrOI structure and those with larger values to the Matlockite structure.
  • We have attempted to organize the similar compounds so that the central atom is on the (4a) site. This means that some compounds will appear twice, e.g., PbFCl and PbClF.
  • Binary forms of Matlockite/PrOI occur when the species on the (2a) site is the same as one of the species on the (2c) sites. We assign these structures to the prototypes:

\[ \begin{array}{ccc} \mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{3}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}$ = $\frac{3}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}$ (2a) F I
$\mathbf{B_{2}}$ = $\frac{1}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}$ (2a) F I
$\mathbf{B_{3}}$ = $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+z_{2} \, \mathbf{a}_{3}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+c z_{2} \,\mathbf{\hat{z}}$ (2c) Cl I
$\mathbf{B_{4}}$ = $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}- z_{2} \, \mathbf{a}_{3}$ = $\frac{3}{4}a \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}- c z_{2} \,\mathbf{\hat{z}}$ (2c) Cl I
$\mathbf{B_{5}}$ = $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+z_{3} \, \mathbf{a}_{3}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+c z_{3} \,\mathbf{\hat{z}}$ (2c) Pb I
$\mathbf{B_{6}}$ = $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}- z_{3} \, \mathbf{a}_{3}$ = $\frac{3}{4}a \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}- c z_{3} \,\mathbf{\hat{z}}$ (2c) Pb I

References

Found in

  • R. T. Downs and M. Hall-Wallace, The American Mineralogist Crystal Structure Database, Am. Mineral. 88, 247–250 (2003).

First cited in

  • M. J. Mehl, D. Hicks, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 1, Comp. Mat. Sci. 136, S1-S828 (2017). (doi=10.1016/j.commatsci.2017.01.017)

Geometry files


Prototype Generator

aflow --proto=ABC_tP6_129_c_a_c --params=$a,c/a,z_{2},z_{3}$

Species:

Running:

Output: