Could incommensurability in sulfosalts be more common than thought? The case of meneghinite, CuPb13Sb7S24

Authors:

Bindi, Luca; Petricek, Vaclav; Biagioni, Cristian; Plasil, Jakub; Moelo, Yves

Journal:

Acta Crystallographica, Section B 73 369-376 (2017)

DOI:

https://doi.org/10.1107/S2052520617002657

B-IncStrDB ID: 13202EGzpbI Entry date: 2017-06-06 Last revision: 2022-01-02

I

Chemical data


Structural Formula Sum: Cu0.966 Pb13.196 S24 Sb6.804 [ Help ]

Formula weight: 4393.3 Da [ Help ]

Crystallographic data and experimental details


Crystal system: orthorhombic [ Help ]

Superspace group name: Pnma(0β0)00s [ Help ]

Symmetry operations of the superspace group: [ Help ]

Operation code Operation in algebraic form
1 x1,x2,x3,x4
2 -x1+1/2,-x2,x3+1/2,-x4+1/2
3 -x1,x2+1/2,-x3,x4+1/2
4 x1+1/2,-x2+1/2,-x3+1/2,-x4
5 -x1,-x2,-x3,-x4
6 x1+1/2,x2,-x3+1/2,x4+1/2
7 x1,-x2+1/2,x3,-x4+1/2
8 -x1+1/2,x2+1/2,x3+1/2,x4

a: 24.0549(3) Å [ Help ]

b: 4.1291(6) Å [ Help ]

c: 11.3361(16) Å [ Help ]

α: 90(5) ° [ Help ]

β: 90(6) ° [ Help ]

γ: 90(5) ° [ Help ]

Volume: 1126(2) Å3 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0 0.5433 0

Z: 1 [ Help ]

Cell measurement temperature: 297.4 K [ Help ]

μ: 54.685 mm-1 [ Help ]

Refinement details


Total nb. of reflections: 6604 [ Help ]

Nb. of observed reflections: 4696 [ Help ]

Intense reflections threshold: I>3σ(I) [ Help ]

Refinement based on: Fsqd [ Help ]

R(obs): 0.0479 [ Help ]

wR(obs): 0.1076 [ Help ]

R(all): 0.0682 [ Help ]

wR(all): 0.1145 [ Help ]

S(all): 1.97 [ Help ]

S(obs): 2.21 [ Help ]

Nb. of reflections: 6604 [ Help ]

Nb. of parameters: 216 [ Help ]

Number of constraints: 78 [ Help ]

Weighting scheme: sigma [ Help ]

Weighting scheme remarks: w=1/(σ2(I)+0.0004I2) [ Help ]

Δ/σ(max): 0.8073 [ Help ]

Δ/σ(mean): 0.0432 [ Help ]

Extinction method: none [ Help ]

Structural Information


Average Structure: [ Help ]

Atom site label Atom symbol x y z ADP type Uiso/equiv Symmetry multiplicity Occupancy Coords from (d)iffraction or (c)alculated Coords restraints or constraints Disordered cluster Disordered group
Cu1 Cu 0.247(2) 0.25 -0.209(5) Uani 0.0388(11) 4 0.239(4) d ? ? ?
Pb1 Pb 0.125229(14) 0.25 0.15769(3) Uani 0.02675(11) 4 1 d ? ? ?
Pb2 Pb 0.064759(19) 0.75 0.46575(4) Uani 0.02537(16) 4 0.48(17) d ? ? ?
Sb2 Sb 0.064759(19) 0.75 0.46575(4) Uani 0.02537(16) 4 0.5199(17) d ? ? ?
Pb3 Pb 0.025121(19) 0.25 -0.15251(4) Uani 0.02636(16) 4 0.5246(18) d ? ? ?
Sb3 Sb 0.025121(19) 0.25 -0.15251(4) Uani 0.02636(16) 4 0.4754(18) d ? ? ?
Pb4 Pb 0.215255(15) 0.25 0.48311(4) Uani 0.03405(13) 4 1 d ? ? ?
Pb5 Pb 0.15041(2) 0.75 -0.21855(5) Uani 0.02817(16) 4 0.2841 d ? ? ?
Sb5 Sb 0.15041(2) 0.75 -0.21855(5) Uani 0.02817(16) 4 0.7159 d ? ? ?
S1 S 0.15229(8) 0.75 0.33925(19) Uani 0.0214(6) 4 1 d ? ? ?
S2 S -0.06368(9) 0.25 -0.02736(18) Uani 0.0214(6) 4 1 d ? ? ?
S3 S 0.23688(9) 0.75 -0.3373(2) Uani 0.0244(6) 4 1 d ? ? ?
S4 S -0.02045(9) 0.75 -0.28375(19) Uani 0.024(6) 4 1 d ? ? ?
S5 S 0.10735(9) 0.25 0.5944(2) Uani 0.0263(6) 4 1 d ? ? ?
S6 S 0.18416(9) 0.25 -0.0896(2) Uani 0.0353(7) 4 1 d ? ? ?

ADP components: [ Help ]

Atom site label Atom site symbol U11 U22 U33 U12 U13 U23
Cu1 Cu 0.0318(17) 0.0351(18) 0.05(2) 0 -0.0051(14) 0
Pb1 Pb 0.02884(19) 0.02372(18) 0.0277(2) 0 0.00114(13) 0
Pb2 Pb 0.0275(3) 0.0243(3) 0.0244(3) 0 0.00051(18) 0
Sb2 Sb 0.0275(3) 0.0243(3) 0.0244(3) 0 0.00051(18) 0
Pb3 Pb 0.0291(3) 0.0243(3) 0.0257(3) 0 0.00392(18) 0
Sb3 Sb 0.0291(3) 0.0243(3) 0.0257(3) 0 0.00392(18) 0
Pb4 Pb 0.02498(19) 0.0333(2) 0.0439(3) 0 0.00206(15) 0
Pb5 Pb 0.0236(3) 0.0335(3) 0.0275(3) 0 -0.0003(2) 0
Sb5 Sb 0.0236(3) 0.0335(3) 0.0275(3) 0 -0.0003(2) 0
S1 S 0.0222(10) 0.023(10) 0.0189(10) 0 0(8) 0
S2 S 0.024(10) 0.0214(10) 0.0188(10) 0 0.0008(8) 0
S3 S 0.0255(10) 0.0248(10) 0.0229(11) 0 0.0033(8) 0
S4 S 0.0252(10) 0.026(10) 0.0207(11) 0 -0.0007(8) 0
S5 S 0.0273(10) 0.0279(11) 0.0237(11) 0 0.0002(8) 0
S6 S 0.0259(11) 0.0552(15) 0.0247(12) 0 -0.0001(9) 0

Fourier Wave Vectors (explicit: q_x,q_y,q_z or coefficients: q_1,q_2,...): [ Help ]

Wave vector code q_1
1 1
2 2

Table: [ Help ]

_jana_atom_site_occ_Fourier_absolute_site_label _jana_atom_site_occ_Fourier_absolute
Cu1 0.239(4)
Pb2 0.4801(17)
Sb2 0.5199(17)
Pb3 0.5246(18)
Sb3 0.4754(18)
Pb5 0.2841
Sb5 0.7159

Definition of the occupation Fourier series: [ Help ]

Modulation code Atom site label Wave vector code
Cu1o1 Cu1 1
Cu1o2 Cu1 2
Pb2o1 Pb2 1
Pb2o2 Pb2 2
Sb2o1 Sb2 1
Sb2o2 Sb2 2
Pb3o1 Pb3 1
Pb3o2 Pb3 2
Sb3o1 Sb3 1
Sb3o2 Sb3 2
Pb5o1 Pb5 1
Pb5o2 Pb5 2
Sb5o1 Sb5 1
Sb5o2 Sb5 2

Occupation Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Cu1o1 0 0.379(5)
Cu1o2 -0.174(4) 0
Pb2o1 0 0.548(4)
Pb2o2 0(5) 0
Sb2o1 0 -0.548(4)
Sb2o2 0(5) 0
Pb3o1 0 0.544(4)
Pb3o2 0.056(5) 0
Sb3o1 0 -0.544(4)
Sb3o2 -0.056(5) 0
Pb5o1 0 -0.394(4)
Pb5o2 -0.126(5) 0
Sb5o1 0 0.394(4)
Sb5o2 0.126(5) 0

Definition of the displacive (translational) Fourier series: [ Help ]

Modulation code Atom site label Displacement axis Wave vector code
Cu1x1 Cu1 x 1
Cu1y1 Cu1 y 1
Cu1z1 Cu1 z 1
Cu1x2 Cu1 x 2
Cu1y2 Cu1 y 2
Cu1z2 Cu1 z 2
Pb1x1 Pb1 x 1
Pb1y1 Pb1 y 1
Pb1z1 Pb1 z 1
Pb1x2 Pb1 x 2
Pb1y2 Pb1 y 2
Pb1z2 Pb1 z 2
Pb2x1 Pb2 x 1
Pb2y1 Pb2 y 1
Pb2z1 Pb2 z 1
Pb2x2 Pb2 x 2
Pb2y2 Pb2 y 2
Pb2z2 Pb2 z 2
Sb2x1 Sb2 x 1
Sb2y1 Sb2 y 1
Sb2z1 Sb2 z 1
Sb2x2 Sb2 x 2
Sb2y2 Sb2 y 2
Sb2z2 Sb2 z 2
Pb3x1 Pb3 x 1
Pb3y1 Pb3 y 1
Pb3z1 Pb3 z 1
Pb3x2 Pb3 x 2
Pb3y2 Pb3 y 2
Pb3z2 Pb3 z 2
Sb3x1 Sb3 x 1
Sb3y1 Sb3 y 1
Sb3z1 Sb3 z 1
Sb3x2 Sb3 x 2
Sb3y2 Sb3 y 2
Sb3z2 Sb3 z 2
Pb4x1 Pb4 x 1
Pb4y1 Pb4 y 1
Pb4z1 Pb4 z 1
Pb4x2 Pb4 x 2
Pb4y2 Pb4 y 2
Pb4z2 Pb4 z 2
Pb5x1 Pb5 x 1
Pb5y1 Pb5 y 1
Pb5z1 Pb5 z 1
Pb5x2 Pb5 x 2
Pb5y2 Pb5 y 2
Pb5z2 Pb5 z 2
Sb5x1 Sb5 x 1
Sb5y1 Sb5 y 1
Sb5z1 Sb5 z 1
Sb5x2 Sb5 x 2
Sb5y2 Sb5 y 2
Sb5z2 Sb5 z 2
S1x1 S1 x 1
S1y1 S1 y 1
S1z1 S1 z 1
S1x2 S1 x 2
S1y2 S1 y 2
S1z2 S1 z 2
S2x1 S2 x 1
S2y1 S2 y 1
S2z1 S2 z 1
S2x2 S2 x 2
S2y2 S2 y 2
S2z2 S2 z 2
S3x1 S3 x 1
S3y1 S3 y 1
S3z1 S3 z 1
S3x2 S3 x 2
S3y2 S3 y 2
S3z2 S3 z 2
S4x1 S4 x 1
S4y1 S4 y 1
S4z1 S4 z 1
S4x2 S4 x 2
S4y2 S4 y 2
S4z2 S4 z 2
S5x1 S5 x 1
S5y1 S5 y 1
S5z1 S5 z 1
S5x2 S5 x 2
S5y2 S5 y 2
S5z2 S5 z 2
S6x1 S6 x 1
S6y1 S6 y 1
S6z1 S6 z 1
S6x2 S6 x 2
S6y2 S6 y 2
S6z2 S6 z 2

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Cu1x1 0 0.01(3)
Cu1y1 -0.014(17) 0
Cu1z1 0 -0.05(8)
Cu1x2 0.0043(13) 0
Cu1y2 0 0.011(13)
Cu1z2 -0.02(3) 0
Pb1x1 0 -0.000915(17)
Pb1y1 0.0039(9) 0
Pb1z1 0 -0.00257(4)
Pb1x2 -0.00048(2) 0
Pb1y2 0 -0.00178(11)
Pb1z2 0.00309(4) 0
Pb2x1 0 -0.00573(2)
Pb2y1 0.01408(13) 0
Pb2z1 0 -0.00509(5)
Pb2x2 -0.00155(3) 0
Pb2y2 0 0.00265(16)
Pb2z2 -0.0043(6) 0
Sb2x1 0 -0.00573(2)
Sb2y1 0.01408(13) 0
Sb2z1 0 -0.00509(5)
Sb2x2 -0.00155(3) 0
Sb2y2 0 0.00265(16)
Sb2z2 -0.0043(6) 0
Pb3x1 0 0.00647(2)
Pb3y1 -0.00187(12) 0
Pb3z1 0 0.0095(5)
Pb3x2 0.00047(3) 0
Pb3y2 0 -0.00186(15)
Pb3z2 0.00515(6) 0
Sb3x1 0 0.00647(2)
Sb3y1 -0.00187(12) 0
Sb3z1 0 0.0095(5)
Sb3x2 0.00047(3) 0
Sb3y2 0 -0.00186(15)
Sb3z2 0.00515(6) 0
Pb4x1 0 0.001366(17)
Pb4y1 -0.00326(10) 0
Pb4z1 0 0.00588(5)
Pb4x2 0.00061(2) 0
Pb4y2 0 -0.00386(13)
Pb4z2 0.01081(5) 0
Pb5x1 0 0.0017(2)
Pb5y1 -0.02717(16) 0
Pb5z1 0 0.0021(6)
Pb5x2 0.00005(3) 0
Pb5y2 0 0.00641(18)
Pb5z2 -0.00484(6) 0
Sb5x1 0 0.0017(2)
Sb5y1 -0.02717(16) 0
Sb5z1 0 0.0021(6)
Sb5x2 0.00005(3) 0
Sb5y2 0 0.00641(18)
Sb5z2 -0.00484(6) 0
S1x1 0 0.00301(10)
S1y1 -0.0075(6) 0
S1z1 0 0.0011(2)
S1x2 -0.00003(12) 0
S1y2 0 -0.0004(7)
S1z2 -0.0015(3) 0
S2x1 0 -0.00279(10)
S2y1 -0.0104(6) 0
S2z1 0 0(2)
S2x2 -0.00122(12) 0
S2y2 0 -0.0012(7)
S2z2 0.0021(3) 0
S3x1 0 -0.00467(11)
S3y1 0.0025(6) 0
S3z1 0 -0.0047(2)
S3x2 -0.00047(12) 0
S3y2 0 -0.0004(7)
S3z2 -0.0019(3) 0
S4x1 0 0.00085(10)
S4y1 -0.0513(6) 0
S4z1 0 0.0027(2)
S4x2 0.00103(13) 0
S4y2 0 -0.0016(7)
S4z2 -0.0011(3) 0
S5x1 0 -0.00317(11)
S5y1 -0.0575(7) 0
S5z1 0 -0.0019(3)
S5x2 -0.00106(13) 0
S5y2 0 0.002(7)
S5z2 0.002(3) 0
S6x1 0 0.00084(12)
S6y1 0.069(9) 0
S6z1 0 0.0049(3)
S6x2 -0.0006(14) 0
S6y2 0 0.0197(9)
S6z2 0.0039(3) 0

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
Pb1U111 Pb1 U11 1
Pb1U221 Pb1 U22 1
Pb1U331 Pb1 U33 1
Pb1U121 Pb1 U12 1
Pb1U131 Pb1 U13 1
Pb1U231 Pb1 U23 1
Pb1U112 Pb1 U11 2
Pb1U222 Pb1 U22 2
Pb1U332 Pb1 U33 2
Pb1U122 Pb1 U12 2
Pb1U132 Pb1 U13 2
Pb1U232 Pb1 U23 2
Pb2U111 Pb2 U11 1
Pb2U221 Pb2 U22 1
Pb2U331 Pb2 U33 1
Pb2U121 Pb2 U12 1
Pb2U131 Pb2 U13 1
Pb2U231 Pb2 U23 1
Pb2U112 Pb2 U11 2
Pb2U222 Pb2 U22 2
Pb2U332 Pb2 U33 2
Pb2U122 Pb2 U12 2
Pb2U132 Pb2 U13 2
Pb2U232 Pb2 U23 2
Sb2U111 Sb2 U11 1
Sb2U221 Sb2 U22 1
Sb2U331 Sb2 U33 1
Sb2U121 Sb2 U12 1
Sb2U131 Sb2 U13 1
Sb2U231 Sb2 U23 1
Sb2U112 Sb2 U11 2
Sb2U222 Sb2 U22 2
Sb2U332 Sb2 U33 2
Sb2U122 Sb2 U12 2
Sb2U132 Sb2 U13 2
Sb2U232 Sb2 U23 2
Pb3U111 Pb3 U11 1
Pb3U221 Pb3 U22 1
Pb3U331 Pb3 U33 1
Pb3U121 Pb3 U12 1
Pb3U131 Pb3 U13 1
Pb3U231 Pb3 U23 1
Pb3U112 Pb3 U11 2
Pb3U222 Pb3 U22 2
Pb3U332 Pb3 U33 2
Pb3U122 Pb3 U12 2
Pb3U132 Pb3 U13 2
Pb3U232 Pb3 U23 2
Sb3U111 Sb3 U11 1
Sb3U221 Sb3 U22 1
Sb3U331 Sb3 U33 1
Sb3U121 Sb3 U12 1
Sb3U131 Sb3 U13 1
Sb3U231 Sb3 U23 1
Sb3U112 Sb3 U11 2
Sb3U222 Sb3 U22 2
Sb3U332 Sb3 U33 2
Sb3U122 Sb3 U12 2
Sb3U132 Sb3 U13 2
Sb3U232 Sb3 U23 2
Pb4U111 Pb4 U11 1
Pb4U221 Pb4 U22 1
Pb4U331 Pb4 U33 1
Pb4U121 Pb4 U12 1
Pb4U131 Pb4 U13 1
Pb4U231 Pb4 U23 1
Pb4U112 Pb4 U11 2
Pb4U222 Pb4 U22 2
Pb4U332 Pb4 U33 2
Pb4U122 Pb4 U12 2
Pb4U132 Pb4 U13 2
Pb4U232 Pb4 U23 2
Pb5U111 Pb5 U11 1
Pb5U221 Pb5 U22 1
Pb5U331 Pb5 U33 1
Pb5U121 Pb5 U12 1
Pb5U131 Pb5 U13 1
Pb5U231 Pb5 U23 1
Pb5U112 Pb5 U11 2
Pb5U222 Pb5 U22 2
Pb5U332 Pb5 U33 2
Pb5U122 Pb5 U12 2
Pb5U132 Pb5 U13 2
Pb5U232 Pb5 U23 2
Sb5U111 Sb5 U11 1
Sb5U221 Sb5 U22 1
Sb5U331 Sb5 U33 1
Sb5U121 Sb5 U12 1
Sb5U131 Sb5 U13 1
Sb5U231 Sb5 U23 1
Sb5U112 Sb5 U11 2
Sb5U222 Sb5 U22 2
Sb5U332 Sb5 U33 2
Sb5U122 Sb5 U12 2
Sb5U132 Sb5 U13 2
Sb5U232 Sb5 U23 2

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Pb1U111 0 0.0012(2)
Pb1U221 0 0.00131(20)
Pb1U331 0 0.0005(3)
Pb1U121 0.00111(16) 0
Pb1U131 0 -0.00119(18)
Pb1U231 0.00068(17) 0
Pb1U112 -0.0028(3) 0
Pb1U222 -0.0013(3) 0
Pb1U332 0.0003(3) 0
Pb1U122 0 -0.0002(2)
Pb1U132 -0.0004(2) 0
Pb1U232 0 -0.0005(2)
Pb2U111 0 0.0011(3)
Pb2U221 0 0.0016(3)
Pb2U331 0 0.0012(4)
Pb2U121 -0.0028(2) 0
Pb2U131 0 0.0012(2)
Pb2U231 -0.0014(2) 0
Pb2U112 0.0083(4) 0
Pb2U222 0.0023(4) 0
Pb2U332 0.0042(4) 0
Pb2U122 0 0.0006(3)
Pb2U132 0.0036(3) 0
Pb2U232 0 0.0015(3)
Sb2U111 0 0.0011(3)
Sb2U221 0 0.0016(3)
Sb2U331 0 0.0012(4)
Sb2U121 -0.0028(2) 0
Sb2U131 0 0.0012(2)
Sb2U231 -0.0014(2) 0
Sb2U112 0.0083(4) 0
Sb2U222 0.0023(4) 0
Sb2U332 0.0042(4) 0
Sb2U122 0 0.0006(3)
Sb2U132 0.0036(3) 0
Sb2U232 0 0.0015(3)
Pb3U111 0 0.0029(3)
Pb3U221 0 0.0023(3)
Pb3U331 0 0.0031(4)
Pb3U121 0.0003(2) 0
Pb3U131 0 -0.0002(2)
Pb3U231 -0.0013(2) 0
Pb3U112 0.0076(4) 0
Pb3U222 -0.0002(4) 0
Pb3U332 0.0065(4) 0
Pb3U122 0 0.0005(3)
Pb3U132 0.0061(3) 0
Pb3U232 0 -0.0004(3)
Sb3U111 0 0.0029(3)
Sb3U221 0 0.0023(3)
Sb3U331 0 0.0031(4)
Sb3U121 0.0003(2) 0
Sb3U131 0 -0.0002(2)
Sb3U231 -0.0013(2) 0
Sb3U112 0.0076(4) 0
Sb3U222 -0.0002(4) 0
Sb3U332 0.0065(4) 0
Sb3U122 0 0.0005(3)
Sb3U132 0.0061(3) 0
Sb3U232 0 -0.0004(3)
Pb4U111 0 0(2)
Pb4U221 0 -0.0031(2)
Pb4U331 0 -0.0128(3)
Pb4U121 -0.00145(17) 0
Pb4U131 0 0.0007(2)
Pb4U231 -0.0064(2) 0
Pb4U112 -0.0004(3) 0
Pb4U222 -0.0025(3) 0
Pb4U332 -0.0039(3) 0
Pb4U122 0 -0.0004(3)
Pb4U132 0.0024(2) 0
Pb4U232 0 0.0013(2)
Pb5U111 0 -0.0035(3)
Pb5U221 0 -0.0006(4)
Pb5U331 0 -0.0011(4)
Pb5U121 0.0024(3) 0
Pb5U131 0 -0.0001(2)
Pb5U231 0.0092(3) 0
Pb5U112 0.0007(5) 0
Pb5U222 0.0092(5) 0
Pb5U332 0.0059(5) 0
Pb5U122 0 0.0006(3)
Pb5U132 0.0008(3) 0
Pb5U232 0 0.0007(3)
Sb5U111 0 -0.0035(3)
Sb5U221 0 -0.0006(4)
Sb5U331 0 -0.0011(4)
Sb5U121 0.0024(3) 0
Sb5U131 0 -0.0001(2)
Sb5U231 0.0092(3) 0
Sb5U112 0.0007(5) 0
Sb5U222 0.0092(5) 0
Sb5U332 0.0059(5) 0
Sb5U122 0 0.0006(3)
Sb5U132 0.0008(3) 0
Sb5U232 0 0.0007(3)