Labile Degree of Disorder in Bismuth-Oxophosphate Compounds: Illustration through Three New Structural Types

Authors:

Aliev, A.; Endara, D.; Huve, M.; Colmont, M.; Roussel, 'P.; Delevoye, L.; Tran, T.T.; Halasyamani, P.S.; Mentree, O.

Journal:

Inorganic Chemistry 53 861-871 (2014)

DOI:

https://dx.doi.org/10.1021/ic402930d

B-IncStrDB ID: uApMeT3RQ5z Entry date: 2022-01-10 Last revision: 2022-01-10

I

Chemical data


Structural Formula Sum: Bi14.957 Cd5.795 O48 P8 [ Help ]

Formula weight: 4792.9 Da [ Help ]

Crystallographic data and experimental details


Crystal system: tetragonal [ Help ]

Superspace group name: I4/m(00γ)s0 [ Help ]

Symmetry operations of the superspace group: [ Help ]

Operation code Operation in algebraic form
1 x1,x2,x3,x4
2 -x1,-x2,x3,x4
3 -x2,x1,x3,x4+1/2
4 x2,-x1,x3,x4+1/2
5 -x1,-x2,-x3,-x4
6 x1,x2,-x3,-x4
7 x2,-x1,-x3,-x4+1/2
8 -x2,x1,-x3,-x4+1/2
9 x1+1/2,x2+1/2,x3+1/2,x4
10 -x1+1/2,-x2+1/2,x3+1/2,x4
11 -x2+1/2,x1+1/2,x3+1/2,x4+1/2
12 x2+1/2,-x1+1/2,x3+1/2,x4+1/2
13 -x1+1/2,-x2+1/2,-x3+1/2,-x4
14 x1+1/2,x2+1/2,-x3+1/2,-x4
15 x2+1/2,-x1+1/2,-x3+1/2,-x4+1/2
16 -x2+1/2,x1+1/2,-x3+1/2,-x4+1/2

a: 13.7595(6) Å [ Help ]

b: 13.7595(6) Å [ Help ]

c: 5.6879(3) Å [ Help ]

α: 90 ° [ Help ]

β: 90 ° [ Help ]

γ: 90 ° [ Help ]

Volume: 1076.85(9) Å3 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.000000 0.000000 0.3984(2)

Z: 1 [ Help ]

Cell measurement temperature: 0 K [ Help ]

μ: 65.143 mm-1 [ Help ]

Absorption correction type: multi-scan [ Help ]

Absorption correction remarks: Bruker [ Help ]

Minimum transmission factor: 0.2457 [ Help ]

Maximum transmission factor: 0.7474 [ Help ]

Refinement details


Total nb. of reflections: 3149 [ Help ]

Nb. of observed reflections: 893 [ Help ]

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

Refinement based on: F [ Help ]

R(obs): 0.0512 [ Help ]

wR(obs): 0.0667 [ Help ]

R(all): 0.1768 [ Help ]

wR(all): 0.0743 [ Help ]

S(all): 1.65 [ Help ]

S(obs): 2.88 [ Help ]

Nb. of reflections: 3149 [ Help ]

Nb. of parameters: 88 [ Help ]

Number of restraints: 3 [ Help ]

Number of constraints: 10 [ Help ]

Weighting scheme: sigma [ Help ]

Weighting scheme remarks: w=1/(σ2(F)+0.0001F2) [ Help ]

Δ/σ(max): 0.0122 [ Help ]

Δ/σ(mean): 0.0021 [ Help ]

Δρ(max): 9.96 e_Å-3 [ Help ]

Δρ(min): -6.82 e_Å-3 [ Help ]

Extinction method: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974) [ Help ]

Extinction coefficient: 4.9(3) [ 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
Bi1 Bi 0.05982(4) -0.17609(4) 0 Uani 0.02092(19) 8 1 d . . .
Bi2 Bi 0 0 -0.5 Uani 0.0282(3) 2 1 d . . .
Bi3 Bi 0.2558(4) -0.3928(5) 0 Uani 0.0198(5) 8 0.512(5) d . . .
Cd3 Cd 0.2703(9) -0.3833(11) 0 Uani 0.0198(5) 8 0.488(5) d . . .
Bia Bi 0 -0.5 0 Uani 0.0813(17) 4 1 d . . .
Cdb Cd 0 -0.5 0.25 Uani 0.0813(17) 4 1 d . . .
O1 O 0.1278(5) -0.0645(5) 0.2296(11) Uani 0.029(3) 16 1 d . . .
P P 0.1658(5) -0.6304(5) 0 Uani 0.078(3) 8 1 d . . .
Op1 O 0.2434(9) -0.5552(9) 0 Uiso 0.0941 8 1 d . . .
Op2 O 0.1047(8) -0.6275(10) -0.2149(15) Uiso 0.0941 16 1 d . . .
Op3 O 0.2126(11) -0.7270(8) 0 Uiso 0.0941 8 1 d . . .

ADP components: [ Help ]

Atom site label Atom site symbol U11 U22 U33 U12 U13 U23
Bi1 Bi 0.0281(4) 0.0153(3) 0.0194(3) 0.0042(2) 0 0
Bi2 Bi 0.0288(4) 0.0288(4) 0.0271(6) 0 0 0
Bi3 Bi 0.0182(11) 0.0225(9) 0.0188(5) 0.0039(7) 0 0
Cd3 Cd 0.0182(11) 0.0225(9) 0.0188(5) 0.0039(7) 0 0
Bia Bi 0.0392(14) 0.025(2) 0.179(4) 0.0047(12) 0 0
Cdb Cd 0.0392(14) 0.025(2) 0.179(4) 0.0047(12) 0 0
O1 O 0.022(4) 0.027(4) 0.037(5) -0.005(3) 0.012(3) 0.000(3)
P P 0.088(5) 0.067(4) 0.080(5) -0.057(4) 0 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

Table: [ Help ]

_jana_atom_site_occ_Fourier_absolute_site_label _jana_atom_site_occ_Fourier_absolute
Bi3 0.512(5)
Cd3 0.488(5)

Definition of the occupation Fourier series: [ Help ]

Modulation code Atom site label Wave vector code
Bi3o1 Bi3 1
Cd3o1 Cd3 1

Occupation Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Bi3o1 -0.382(4) 0
Cd3o1 0.382(4) 0

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

Modulation code Atom site label Displacement axis Wave vector code
Bi1x1 Bi1 x 1
Bi1y1 Bi1 y 1
Bi1z1 Bi1 z 1
Bi2x1 Bi2 x 1
Bi2y1 Bi2 y 1
Bi2z1 Bi2 z 1
Bi3x1 Bi3 x 1
Bi3y1 Bi3 y 1
Bi3z1 Bi3 z 1
Cd3x1 Cd3 x 1
Cd3y1 Cd3 y 1
Cd3z1 Cd3 z 1
O1x1 O1 x 1
O1y1 O1 y 1
O1z1 O1 z 1
Px1 P x 1
Py1 P y 1
Pz1 P z 1
Op1x1 Op1 x 1
Op1y1 Op1 y 1
Op1z1 Op1 z 1
Op2x1 Op2 x 1
Op2y1 Op2 y 1
Op2z1 Op2 z 1
Op3x1 Op3 x 1
Op3y1 Op3 y 1
Op3z1 Op3 z 1

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Bi1x1 0.00095(7) 0
Bi1y1 -0.00010(6) 0
Bi1z1 0 0.00512(17)
Bi2x1 0 0
Bi2y1 0 0
Bi2z1 0 0
Bi3x1 0.0047(4) 0
Bi3y1 -0.0001(5) 0
Bi3z1 0 0.0091(5)
Cd3x1 0.0011(10) 0
Cd3y1 0.0003(11) 0
Cd3z1 0 -0.0098(11)
O1x1 -0.0060(8) 0.0066(7)
O1y1 0.0046(8) -0.0029(8)
O1z1 -0.0081(18) 0.002(2)
Px1 0.0114(8) 0
Py1 -0.0036(8) 0
Pz1 0 0.0448(18)
Op1x1 0.0002(12) 0
Op1y1 0.0078(12) 0
Op1z1 0 0.018(4)
Op2x1 -0.0044(10) -0.0127(11)
Op2y1 -0.0014(13) -0.0067(12)
Op2z1 0.047(2) 0.051(2)
Op3x1 0.0142(17) 0
Op3y1 -0.0021(11) 0
Op3z1 0 0.112(4)

Displacive sawtooth coefficients: [ Help ]

Atom site label Ax Ay Az Center (x0) Width
Bia 0 0 -0.029(11) 0 0.215(7)
Cdb 0 0 -0.102(7) 0.75 0.472(12)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
Bi1U111 Bi1 U11 1
Bi1U221 Bi1 U22 1
Bi1U331 Bi1 U33 1
Bi1U121 Bi1 U12 1
Bi1U131 Bi1 U13 1
Bi1U231 Bi1 U23 1
Bi2U111 Bi2 U11 1
Bi2U221 Bi2 U22 1
Bi2U331 Bi2 U33 1
Bi2U121 Bi2 U12 1
Bi2U131 Bi2 U13 1
Bi2U231 Bi2 U23 1

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Bi1U111 0.0038(6) 0
Bi1U221 -0.0015(6) 0
Bi1U331 -0.0006(6) 0
Bi1U121 0.0001(4) 0
Bi1U131 0 0.0015(5)
Bi1U231 0 0.0001(4)
Bi2U111 -0.0056(10) 0
Bi2U221 0.0056(10) 0
Bi2U331 0 0
Bi2U121 0.0040(10) 0
Bi2U131 0 0
Bi2U231 0 0