Crystal chemistry of transition metal diarsenates M2As2O7 (M = Mn, Co, Ni, Zn): variants of the thortveitite structure

Authors:

Weil, Matthias; Stoger, Berthold

Journal:

Acta Crystallographica, Section B 66 603-614 (2010)

DOI:

https://doi.org/10.1107/S0108768110040802

B-IncStrDB ID: OZhgWzDctpQ Entry date: 2022-01-21 Last revision: 2023-07-26

Mn2As2O7

Chemical data


Full Name: Dimanganese(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 Mn2 O7 [ Help ]

Structural Formula: Mn2 As2 O7 [ Help ]

Formula weight: 371.7 Da [ Help ]

Crystallographic data and experimental details


Crystal system: monoclinic [ Help ]

Space group name (H-M): C 2/m [ Help ]

Space group name (Hall): -C 2y [ Help ]

Symmetry operations of the space group: [ Help ]

Operation code Operation in algebraic form
1 x,y,z
2 -x,y,-z
3 -x,-y,-z
4 x,-y,z
5 x+1/2,y+1/2,z
6 -x+1/2,y+1/2,-z
7 -x+1/2,-y+1/2,-z
8 x+1/2,-y+1/2,z

a: 6.7454(8) Å [ Help ]

b: 8.7561(10) Å [ Help ]

c: 4.8004(7) Å [ Help ]

α: 90.00 ° [ Help ]

β: 102.723(12) ° [ Help ]

γ: 90.00 ° [ Help ]

Volume: 276.57(6) Å3 [ Help ]

Z: 2 [ Help ]

Cell determination reflection Nb.: 25 [ Help ]

θ(min) for cell determination: 10.161 ° [ Help ]

θ(max) for cell determination: 16.563 ° [ Help ]

Cell measurement temperature: 295 K [ Help ]

μ: 16.421 mm-1 [ Help ]

Absorption correction type: numerical [ Help ]

Absorption correction remarks: HABITUS (Herrendorf, 1997) [ Help ]

Minimum transmission factor: 0.0613 [ Help ]

Maximum transmission factor: 0.2223 [ Help ]

Refinement details


Total nb. of reflections: 1012 [ Help ]

Nb. of observed reflections: 937 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0388 [ Help ]

R(obs): 0.0365 [ Help ]

wR(obs): 0.0446 [ Help ]

wR(all): 0.0447 [ Help ]

S(all): 3.26 [ Help ]

Nb. of reflections: 1012 [ Help ]

Nb. of parameters: 32 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 0 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0006 [ Help ]

Δ/σ(mean): 0.0001 [ Help ]

Δρ(max): 3.39 e_Å-3 [ Help ]

Δρ(min): -3.00 e_Å-3 [ Help ]

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

Extinction coefficient: 85E2(3) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As As 0.77188(4) 0 0.59340(6) 0.00737(9) Uani d . 1 . .
Mn Mn 0.5 0.19269(5) 0 0.00933(11) Uani d . 1 . .
O O1 0.6069(4) 0 0.2792(5) 0.0115(5) Uani d . 1 . .
O O2 1 0 0.5 0.063(3) Uani d . 1 . .
O O3 0.7673(3) -0.1587(2) 0.7836(4) 0.0135(4) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
As 0.00475(14) 0.01204(15) 0.00509(14) 0 0.00062(8) 0 As
Mn 0.00768(18) 0.01120(18) 0.00854(19) 0 0.00056(13) 0 Mn
O1 0.0126(9) 0.0133(8) 0.0062(7) 0 -0.0034(6) 0 O
O2 0.013(2) 0.114(8) 0.069(6) 0 0.026(3) 0 O
O3 0.0152(7) 0.0139(6) 0.0109(6) 0.0046(5) 0.0017(5) 0.0042(5) O

alpha-Co2As2O7

Chemical data


Full Name: Dicobalt(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 Co2 O7 [ Help ]

Structural Formula: Co2 As2 O7 [ Help ]

Formula weight: 379.7 Da [ Help ]

Crystallographic data and experimental details


Crystal system: triclinic [ Help ]

Space group name (H-M): P -1 [ Help ]

Space group name (Hall): -P 1 [ Help ]

Symmetry operations of the space group: [ Help ]

Operation code Operation in algebraic form
1 x,y,z
2 -x,-y,-z

a: 32.9920(16) Å [ Help ]

b: 5.3332(4) Å [ Help ]

c: 8.9775(6) Å [ Help ]

α: 58.4720(10) ° [ Help ]

β: 149.0110(10) ° [ Help ]

γ: 126.9760(10) ° [ Help ]

Volume: 649.64(9) Å3 [ Help ]

Z: 5 [ Help ]

Cell determination reflection Nb.: 4217 [ Help ]

θ(min) for cell determination: 2.682 ° [ Help ]

θ(max) for cell determination: 30.484 ° [ Help ]

Cell measurement temperature: 295 K [ Help ]

μ: 19.001 mm-1 [ Help ]

Absorption correction type: numerical [ Help ]

Absorption correction remarks: Habitus (Herrendorf, 1997) [ Help ]

Minimum transmission factor: 0.1088 [ Help ]

Maximum transmission factor: 0.5898 [ Help ]

Refinement details


Total nb. of reflections: 3866 [ Help ]

Nb. of observed reflections: 3229 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0334 [ Help ]

R(obs): 0.0289 [ Help ]

wR(obs): 0.0338 [ Help ]

wR(all): 0.0342 [ Help ]

S(all): 1.63 [ Help ]

Nb. of reflections: 3866 [ Help ]

Nb. of parameters: 251 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 0 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0185 [ Help ]

Δ/σ(mean): 0.0012 [ Help ]

Δρ(max): 1.60 e_Å-3 [ Help ]

Δρ(min): -1.51 e_Å-3 [ Help ]

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

Extinction coefficient: 744E1(10) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As As-1 0.27563(2) 0.03232(9) 0.56295(8) 0.0079(5) Uani d . 1 . .
As As-2 0.47399(2) 0.00583(8) 0.59727(8) 0.0068(5) Uani d . 1 . .
As As-3 0.67185(2) -0.05706(9) 0.62346(8) 0.0076(5) Uani d . 1 . .
As As-4 0.86954(2) 0.01986(9) 0.57451(8) 0.0075(5) Uani d . 1 . .
As As-5 1.07605(2) -0.00107(8) 0.60689(8) 0.0072(5) Uani d . 1 . .
Co Co-1 0.06274(3) -0.37766(12) 0.00903(11) 0.0091(7) Uani d . 1 . .
Co Co-2 0.26180(3) -0.40089(12) 0.04059(11) 0.0094(7) Uani d . 1 . .
Co Co-3 0.46174(3) -0.37253(12) -0.00686(11) 0.0092(7) Uani d . 1 . .
Co Co-4 0.66162(3) -0.36786(12) 0.01759(10) 0.0084(7) Uani d . 1 . .
Co Co-5 0.86573(3) -0.37974(12) 0.00489(11) 0.0106(8) Uani d . 1 . .
O O1-1 0.17566(15) 0.0155(6) 0.2690(5) 0.010(4) Uani d . 1 . .
O O1-2 0.37450(16) -0.0054(6) 0.2803(5) 0.013(4) Uani d . 1 . .
O O1-3 0.57949(16) -0.0203(6) 0.2798(5) 0.010(4) Uani d . 1 . .
O O1-4 0.77240(15) 0.0383(6) 0.2694(5) 0.009(4) Uani d . 1 . .
O O1-5 0.97981(15) 0.0013(6) 0.2713(5) 0.011(4) Uani d . 1 . .
O O2-1 0.29463(17) 0.1850(6) 0.3946(6) 0.012(4) Uani d . 1 . .
O O2-2 0.5 0 0.5 0.043(12) Uani d . 1 . .
O O2-4 0.8777(2) 0.0154(8) 0.4099(7) 0.027(5) Uani d . 1 . .
O O3-1 0.07553(17) -0.3309(6) -0.2078(5) 0.011(4) Uani d . 1 . .
O O3-2 0.28454(18) -0.3095(7) -0.2960(6) 0.021(5) Uani d . 1 . .
O O3-3 0.47856(17) -0.3219(6) -0.2100(5) 0.012(4) Uani d . 1 . .
O O3-4 0.67558(16) -0.3741(6) -0.1717(5) 0.010(4) Uani d . 1 . .
O O3-5 0.88238(17) -0.3044(6) -0.2202(6) 0.014(4) Uani d . 1 . .
O O3b-1 -0.14025(16) -0.3239(6) 0.2087(5) 0.011(4) Uani d . 1 . .
O O3b-2 0.05849(16) -0.3418(6) 0.2281(6) 0.012(4) Uani d . 1 . .
O O3b-3 0.25466(16) -0.2855(6) 0.2053(5) 0.010(4) Uani d . 1 . .
O O3b-4 0.46118(16) -0.3325(6) 0.2223(6) 0.012(4) Uani d . 1 . .
O O3b-5 0.65334(16) -0.3196(6) 0.2078(6) 0.012(4) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
As-1 0.00633(18) 0.00675(17) 0.00749(17) 0.00243(14) 0.00476(16) -0.00076(13) As
As-2 0.00616(17) 0.00639(17) 0.00662(17) 0.00235(13) 0.00477(16) -0.00031(13) As
As-3 0.00682(18) 0.00631(17) 0.00732(17) 0.00229(13) 0.00508(16) -0.00068(13) As
As-4 0.00626(18) 0.00705(17) 0.00681(17) 0.00247(14) 0.00466(16) -0.00055(13) As
As-5 0.00632(18) 0.00694(17) 0.00655(17) 0.00267(14) 0.00466(16) -0.00030(13) As
Co-1 0.0081(2) 0.0072(2) 0.0097(2) 0.00271(19) 0.0067(2) -0.00016(19) Co
Co-2 0.0081(2) 0.0076(2) 0.0105(2) 0.00224(19) 0.0068(2) -0.00163(19) Co
Co-3 0.0080(2) 0.0074(2) 0.0101(2) 0.00222(19) 0.0069(2) -0.00089(19) Co
Co-4 0.0082(2) 0.0073(2) 0.0085(2) 0.00300(19) 0.0065(2) 0.00030(18) Co
Co-5 0.0088(2) 0.0074(2) 0.0112(2) 0.00354(19) 0.0071(2) -0.00007(19) Co
O1-1 0.0043(12) 0.0084(12) 0.0084(12) 0.0011(10) 0.0041(11) -0.0013(10) O
O1-2 0.0053(12) 0.0085(12) 0.0085(12) 0.0011(10) 0.0028(11) -0.0025(10) O
O1-3 0.0066(12) 0.0100(12) 0.0071(12) 0.0045(10) 0.0037(11) 0.0000(10) O
O1-4 0.0056(12) 0.0079(12) 0.0067(11) 0.0025(10) 0.0038(11) 0.0000(9) O
O1-5 0.0049(12) 0.0075(12) 0.0072(12) 0.0017(10) 0.0027(11) -0.0016(10) O
O2-1 0.0174(14) 0.0133(13) 0.0156(13) 0.0081(11) 0.0143(13) 0.0026(11) O
O2-2 0.070(4) 0.042(3) 0.075(4) 0.013(3) 0.069(4) -0.002(3) O
O2-4 0.0264(17) 0.051(2) 0.0222(15) 0.0225(17) 0.0195(15) 0.0034(15) O
O3-1 0.0155(14) 0.0077(12) 0.0123(12) 0.0071(11) 0.0114(12) 0.0041(10) O
O3-2 0.0208(16) 0.0116(14) 0.0216(15) 0.0107(12) 0.0157(15) 0.0060(12) O
O3-3 0.0161(14) 0.0084(12) 0.0125(12) 0.0083(11) 0.0118(12) 0.0051(10) O
O3-4 0.0147(13) 0.0075(12) 0.0121(12) 0.0061(10) 0.0115(12) 0.0035(10) O
O3-5 0.0165(14) 0.0090(13) 0.0152(13) 0.0090(11) 0.0125(13) 0.0051(11) O
O3b-1 0.0087(13) 0.0081(12) 0.0109(12) 0.0004(10) 0.0072(12) -0.0033(10) O
O3b-2 0.0106(13) 0.0102(13) 0.0143(13) -0.0007(10) 0.0098(12) -0.0051(10) O
O3b-3 0.0083(13) 0.0073(12) 0.0127(12) -0.0017(10) 0.0080(12) -0.0053(10) O
O3b-4 0.0097(13) 0.0088(12) 0.0131(12) 0.0001(10) 0.0086(12) -0.0042(10) O
O3b-5 0.0087(13) 0.0135(13) 0.0133(13) -0.0019(10) 0.0082(12) -0.0084(11) O

alpha-Ni2As2O7

Chemical data


Full Name: Dinickel(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 Ni2 O7 [ Help ]

Structural Formula: Ni2 As2 O7 [ Help ]

Formula weight: 379.2 Da [ Help ]

Crystallographic data and experimental details


Crystal system: triclinic [ Help ]

Space group name (H-M): P 1 [ Help ]

Space group name (Hall): P 1 [ Help ]

Symmetry operations of the space group: [ Help ]

Operation code Operation in algebraic form
1 x,y,z

a: 19.497(4) Å [ Help ]

b: 5.2970(10) Å [ Help ]

c: 8.868(2) Å [ Help ]

α: 58.32(2) ° [ Help ]

β: 148.78(2) ° [ Help ]

γ: 127.30(2) ° [ Help ]

Volume: 377.5(3) Å3 [ Help ]

Z: 3 [ Help ]

Cell determination reflection Nb.: 2877 [ Help ]

θ(min) for cell determination: 2.820 ° [ Help ]

θ(max) for cell determination: 30.5024 ° [ Help ]

Cell measurement temperature: 295 K [ Help ]

μ: 20.508 mm-1 [ Help ]

Absorption correction type: numerical [ Help ]

Absorption correction remarks: HABITUS (Herrendorf, 1997) [ Help ]

Minimum transmission factor: 0.1087 [ Help ]

Maximum transmission factor: 0.5542 [ Help ]

Refinement details


Total nb. of reflections: 5394 [ Help ]

Nb. of observed reflections: 5331 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0271 [ Help ]

R(obs): 0.0269 [ Help ]

wR(obs): 0.0316 [ Help ]

wR(all): 0.0317 [ Help ]

S(all): 1.76 [ Help ]

Nb. of reflections: 5394 [ Help ]

Nb. of parameters: 297 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 3 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0096 [ Help ]

Δ/σ(mean): 0.0009 [ Help ]

Δρ(max): 1.40 e_Å-3 [ Help ]

Δρ(min): -0.71 e_Å-3 [ Help ]

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

Extinction coefficient: 970E1(11) [ Help ]

Absolute structure remarks: refine [ Help ]

Flack parameter: 0.020(10) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As Asa-1 0.54807 0.007024 0.399531 0.0033(4) Uani d . 1 . .
As Asa-2 0.87341(4) 0.97840(11) 0.43318(10) 0.0034(4) Uani d . 1 . .
As Asa-3 0.21129(4) 0.01567(11) 0.38482(10) 0.0034(4) Uani d . 1 . .
As Asb-1 0.11668(5) 0.03636(11) 0.56138(10) 0.0035(4) Uani d . 1 . .
As Asb-2 0.46283(5) 0.01797(11) 0.59537(9) 0.0031(4) Uani d . 1 . .
As Asb-3 0.78772(5) 0.94458(13) 0.62573(11) 0.0035(4) Uani d . 1 . .
Ni Nia-1 0.90034(5) 0.42113(13) 0.93690(13) 0.0047(6) Uani d . 1 . .
Ni Nia-2 0.22986(5) 0.38572(12) 0.97991(11) 0.0047(6) Uani d . 1 . .
Ni Nia-3 0.56287(6) 0.37955(13) 0.99322(12) 0.0048(6) Uani d . 1 . .
Ni Nib-1 0.77376(5) 0.64895(13) 0.01614(11) 0.0043(6) Uani d . 1 . .
Ni Nib-2 0.11473(6) 0.64033(13) 0.98747(13) 0.0052(6) Uani d . 1 . .
Ni Nib-3 0.43943(5) 0.64117(13) 0.98719(11) 0.0048(6) Uani d . 1 . .
O O1a-1 0.7173(3) 0.0194(6) 0.7007(5) 0.005(3) Uani d . 1 . .
O O1a-2 0.0431(3) 0.0021(6) 0.7230(5) 0.005(3) Uani d . 1 . .
O O1a-3 0.3735(3) 0.0129(6) 0.7265(5) 0.006(3) Uani d . 1 . .
O O1b-1 0.9536(3) 0.0562(6) 0.2529(5) 0.007(3) Uani d . 1 . .
O O1b-2 0.3010(3) 0.0150(6) 0.2508(5) 0.007(3) Uani d . 1 . .
O O1b-3 0.6351(3) 0.9876(6) 0.2705(5) 0.005(3) Uani d . 1 . .
O O2-1 0.5444(3) 0.0119(8) 0.5822(6) 0.016(4) Uani d . 1 . .
O O2-2 0.8394(3) 0.7920(6) 0.6049(5) 0.006(3) Uani d . 1 . .
O O2-3 0.1330(3) 0.0239(8) 0.4026(6) 0.019(4) Uani d . 1 . .
O O3a-1 0.8576(3) 0.3220(7) 0.3101(6) 0.014(4) Uani d . 1 . .
O O3a-2 0.2165(3) 0.3519(6) 0.2033(5) 0.006(3) Uani d . 1 . .
O O3a-3 0.5356(3) 0.3355(6) 0.2010(6) 0.008(3) Uani d . 1 . .
O O3b-1 0.8004(3) 0.6258(6) 0.8445(5) 0.006(3) Uani d . 1 . .
O O3b-2 0.1398(3) 0.7093(6) 0.7724(6) 0.008(3) Uani d . 1 . .
O O3b-3 0.4591(3) 0.6790(6) 0.7741(6) 0.007(3) Uani d . 1 . .
O O3c-1 0.7530(3) 0.7022(7) 0.1893(6) 0.007(3) Uani d . 1 . .
O O3c-2 0.1061(3) 0.6858(6) 0.2045(6) 0.007(3) Uani d . 1 . .
O O3c-3 0.4310(3) 0.6776(6) 0.2101(6) 0.008(3) Uani d . 1 . .
O O3d-1 0.9205(3) 0.2907(6) 0.7978(6) 0.007(3) Uani d . 1 . .
O O3d-2 0.2397(3) 0.3629(6) 0.7626(6) 0.007(3) Uani d . 1 . .
O O3d-3 0.5669(3) 0.3525(6) 0.7704(6) 0.008(3) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
Asa-1 0.00297(14) 0.00395(16) 0.00315(15) 0.00153(12) 0.00251(13) 0.00044(12) As
Asa-2 0.00293(13) 0.00387(15) 0.00303(14) 0.00147(11) 0.00226(13) 0.00009(11) As
Asa-3 0.00323(13) 0.00435(16) 0.00296(14) 0.00176(11) 0.00250(13) 0.00045(11) As
Asb-1 0.00265(14) 0.00406(16) 0.00274(15) 0.00134(11) 0.00201(13) 0.00018(11) As
Asb-2 0.00299(14) 0.00390(16) 0.00298(14) 0.00134(12) 0.00250(13) 0.00019(11) As
Asb-3 0.00310(13) 0.00359(15) 0.00306(14) 0.00141(11) 0.00241(13) 0.00046(11) As
Nia-1 0.00500(18) 0.00476(19) 0.00568(18) 0.00156(15) 0.00448(16) -0.000110(10) Ni
Nia-2 0.00468(18) 0.0044(2) 0.0051(2) 0.00178(16) 0.00401(17) 0.00045(15) Ni
Nia-3 0.00443(19) 0.0048(2) 0.0056(2) 0.00128(15) 0.00415(18) -0.00021(15) Ni
Nib-1 0.00476(19) 0.0051(2) 0.0048(2) 0.00195(15) 0.00411(18) 0.00034(15) Ni
Nib-2 0.00464(18) 0.0047(2) 0.00548(19) 0.00216(15) 0.00394(17) 0.00064(15) Ni
Nib-3 0.00422(18) 0.0049(2) 0.00498(19) 0.00187(15) 0.00366(17) 0.00044(15) Ni
O1a-1 0.0024(9) 0.0049(11) 0.0026(10) 0.0006(8) 0.0013(9) -0.0009(8) O
O1a-2 0.0031(10) 0.0068(11) 0.0033(10) 0.0025(8) 0.0019(9) 0.0001(8) O
O1a-3 0.0026(10) 0.0059(11) 0.0022(10) 0.0011(8) 0.0008(9) -0.0009(8) O
O1b-1 0.0046(10) 0.0071(11) 0.0064(10) 0.0031(8) 0.0039(9) 0.0010(8) O
O1b-2 0.0033(10) 0.0046(11) 0.0040(10) 0.0023(8) 0.0015(9) 0.0006(8) O
O1b-3 0.0052(10) 0.0057(11) 0.0033(10) 0.0047(8) 0.0027(9) 0.0022(8) O
O2-1 0.0173(13) 0.0290(16) 0.0161(13) 0.0102(12) 0.0143(12) -0.0007(12) O
O2-2 0.0103(10) 0.0074(11) 0.0087(10) 0.0049(9) 0.0087(9) 0.0025(8) O
O2-3 0.0191(14) 0.038(2) 0.0153(13) 0.0168(14) 0.0140(12) 0.0025(13) O
O3a-1 0.0188(13) 0.0098(12) 0.0142(13) 0.0109(10) 0.0129(12) 0.0064(9) O
O3a-2 0.0110(11) 0.0052(11) 0.0083(11) 0.0053(9) 0.0087(10) 0.0034(8) O
O3a-3 0.0123(11) 0.0046(11) 0.0100(11) 0.0042(9) 0.0101(10) 0.0031(8) O
O3b-1 0.0119(11) 0.0058(11) 0.0095(11) 0.0054(9) 0.0100(10) 0.0038(8) O
O3b-2 0.0125(11) 0.0069(11) 0.0101(11) 0.0079(9) 0.0100(10) 0.0057(9) O
O3b-3 0.0113(11) 0.0044(11) 0.0104(12) 0.0051(9) 0.0101(11) 0.0050(9) O
O3c-1 0.0042(10) 0.0090(12) 0.0075(11) -0.0018(9) 0.0045(10) -0.0053(9) O
O3c-2 0.0051(10) 0.0055(11) 0.0080(11) -0.0014(9) 0.0053(10) -0.0030(8) O
O3c-3 0.0054(10) 0.0055(11) 0.0079(11) -0.0019(9) 0.0049(10) -0.0040(9) O
O3d-1 0.0066(10) 0.0057(11) 0.0109(11) -0.0022(8) 0.0078(10) -0.0041(8) O
O3d-2 0.0048(10) 0.0062(11) 0.0076(11) -0.0014(9) 0.0047(9) -0.0037(9) O
O3d-3 0.0062(10) 0.0090(12) 0.0083(11) 0.0007(9) 0.0056(10) -0.0033(9) O

alpha-Zn2As2O7

Chemical data


Full Name: Dizinc(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 O7 Zn2 [ Help ]

Structural Formula: Zn2 As2 O7 [ Help ]

Formula weight: 392.6 Da [ Help ]

Crystallographic data and experimental details


Crystal system: monoclinic [ Help ]

Space group name (H-M): I 2/c [ Help ]

Space group name (Hall): -I 2yc [ Help ]

Symmetry operations of the space group: [ Help ]

Operation code Operation in algebraic form
1 x,y,z
2 -x,y,-z+1/2
3 -x,-y,-z
4 x,-y,z+1/2
5 x+1/2,y+1/2,z+1/2
6 -x+1/2,y+1/2,-z
7 -x+1/2,-y+1/2,-z+1/2
8 x+1/2,-y+1/2,z

a: 20.5802(3) Å [ Help ]

b: 8.43600(10) Å [ Help ]

c: 9.61800(10) Å [ Help ]

α: 90 ° [ Help ]

β: 106.5640(7) ° [ Help ]

γ: 90 ° [ Help ]

Volume: 1600.53(3) Å3 [ Help ]

Z: 12 [ Help ]

Cell determination reflection Nb.: 10939 [ Help ]

θ(min) for cell determination: 3.5013 ° [ Help ]

θ(max) for cell determination: 44.911 ° [ Help ]

Cell measurement temperature: 240 K [ Help ]

μ: 21.284 mm-1 [ Help ]

Absorption correction type: multi-scan [ Help ]

Absorption correction remarks: SADABS (Bruker, 2008) [ Help ]

Minimum transmission factor: 0.3614 [ Help ]

Maximum transmission factor: 0.7489 [ Help ]

Refinement details


Total nb. of reflections: 6626 [ Help ]

Nb. of observed reflections: 4899 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0391 [ Help ]

R(obs): 0.0234 [ Help ]

wR(obs): 0.0295 [ Help ]

wR(all): 0.0322 [ Help ]

S(all): 1.23 [ Help ]

Nb. of reflections: 6626 [ Help ]

Nb. of parameters: 151 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 0 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0023 [ Help ]

Δ/σ(mean): 0.0003 [ Help ]

Δρ(max): 1.01 e_Å-3 [ Help ]

Δρ(min): -0.90 e_Å-3 [ Help ]

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

Extinction coefficient: 191E1(5) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As As-1 0.258447(7) -0.016048(17) 0.297700(15) 0.00454(3) Uani d . 1 . .
As As-2 0.596944(7) -0.000579(18) 0.287254(16) 0.00519(3) Uani d . 1 . .
As As-3 0.930450(7) -0.014497(18) 0.799505(15) 0.00486(4) Uani d . 1 . .
Zn Zn-1 0.181506(9) -0.18777(2) -0.01985(2) 0.00741(4) Uani d . 1 . .
Zn Zn-2 0.486477(9) -0.18695(2) 0.018840(19) 0.00698(4) Uani d . 1 . .
Zn Zn-3 0.835592(8) -0.18678(2) 0.001230(19) 0.00661(4) Uani d . 1 . .
O O1-1 0.20546(6) -0.00848(13) 0.13002(11) 0.0078(3) Uani d . 1 . .
O O1-2 0.53133(6) 0.01142(13) 0.13653(12) 0.0070(2) Uani d . 1 . .
O O1-3 0.86895(6) 0.00046(13) 0.14238(12) 0.0074(2) Uani d . 1 . .
O O2-1 0.33871(6) -0.05413(17) 0.28695(15) 0.0154(3) Uani d . 1 . .
O O2-2 1 -0.0844(2) 0.75 0.0136(5) Uani d . 1 . .
O O3-1 0.24586(6) -0.17238(13) 0.39308(12) 0.0079(3) Uani d . 1 . .
O O3-2 0.59151(6) -0.15981(13) 0.38681(12) 0.0078(3) Uani d . 1 . .
O O3-3 0.94481(6) -0.15382(14) 0.39066(13) 0.0130(3) Uani d . 1 . .
O O3-4 0.26127(6) -0.15497(13) 0.88728(12) 0.0081(3) Uani d . 1 . .
O O3-5 0.61163(6) -0.16112(14) 0.88652(14) 0.0136(3) Uani d . 1 . .
O O3-6 0.91458(6) -0.16593(13) 0.89733(12) 0.0082(3) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
As-1 0.00491(5) 0.00483(6) 0.00373(5) 0.00005(4) 0.00097(4) 0.00006(4) As
As-2 0.00513(5) 0.00531(5) 0.00443(5) -0.00086(4) 0.00021(4) 0.00072(4) As
As-3 0.00452(6) 0.00519(6) 0.00444(6) -0.00044(4) 0.00059(4) 0.00060(4) As
Zn-1 0.00796(7) 0.00556(7) 0.00729(7) 0.00006(5) -0.00011(5) -0.00006(5) Zn
Zn-2 0.00738(7) 0.00545(7) 0.00721(7) -0.00028(5) 0.00064(5) 0.00013(5) Zn
Zn-3 0.00653(7) 0.00555(7) 0.00732(7) 0.00035(5) 0.00124(5) -0.00010(5) Zn
O1-1 0.0111(4) 0.0060(4) 0.0045(4) 0.0009(3) -0.0008(3) -0.0003(3) O
O1-2 0.0070(4) 0.0067(4) 0.0054(4) -0.0014(3) -0.0012(3) 0.0001(3) O
O1-3 0.0076(4) 0.0065(4) 0.0059(4) 0.0001(3) -0.0018(3) -0.0005(3) O
O2-1 0.0077(4) 0.0219(6) 0.0191(6) 0.0025(4) 0.0077(4) 0.0021(5) O
O2-2 0.0075(6) 0.0144(7) 0.0218(8) 0 0.0089(6) 0 O
O3-1 0.0083(4) 0.0069(4) 0.0091(4) 0.0012(3) 0.0033(3) 0.0039(3) O
O3-2 0.0080(4) 0.0075(4) 0.0086(4) 0.0017(3) 0.0034(3) 0.0039(3) O
O3-3 0.0146(5) 0.0089(5) 0.0135(5) 0.0037(4) 0.0004(4) 0.0051(4) O
O3-4 0.0093(4) 0.0066(4) 0.0089(4) 0.0021(3) 0.0034(3) 0.0036(3) O
O3-5 0.0161(5) 0.0085(5) 0.0132(5) 0.0034(4) -0.0007(4) 0.0036(4) O
O3-6 0.0088(4) 0.0082(4) 0.0088(4) 0.0019(3) 0.0045(3) 0.0035(3) O

beta-Zn2As2O7-superspace

Chemical data


Full Name: Zinc(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 O7 Zn2 [ Help ]

Structural Formula: Zn2 As2 O7 [ Help ]

Formula weight: 392.6 Da [ Help ]

Crystallographic data and experimental details


Crystal system: monoclinic [ Help ]

Superspace group name: C2/m(α0γ)0s [ Help ]

Symmetry operations of the superspace group: [ Help ]

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

a: 6.72480(10) Å [ Help ]

b: 8.4605(2) Å [ Help ]

c: 4.77910(10) Å [ Help ]

α: 90 ° [ Help ]

β: 105.3190(10) ° [ Help ]

γ: 90 ° [ Help ]

Volume: 262.216(3) Å3 [ Help ]

Z: 2 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.31900(10) 0.00000 0.37170(10)

μ: 21.652 mm-1 [ Help ]

Absorption correction type: none [ Help ]

Absorption correction remarks: SADABS (Bruker, 2008) [ Help ]

Minimum transmission factor: 0.2120 [ Help ]

Maximum transmission factor: 0.7898 [ Help ]

Refinement details


Total nb. of reflections: 8539 [ Help ]

Nb. of observed reflections: 3694 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0922 [ Help ]

R(obs): 0.0292 [ Help ]

wR(obs): 0.0381 [ Help ]

wR(all): 0.0462 [ Help ]

S(all): 0.92 [ Help ]

Nb. of reflections: 8539 [ Help ]

Nb. of parameters: 135 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 1 [ Help ]

Weighting scheme: sigma [ Help ]

Weighting scheme remarks: w=1/(σ2(F)+0.0004F2) [ Help ]

Δ/σ(max): 0.0307 [ Help ]

Δ/σ(mean): 0.0022 [ Help ]

Δρ(max): 1.22 e_Å-3 [ Help ]

Δρ(min): -1.28 e_Å-3 [ Help ]

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

Extinction coefficient: 88E1(4) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As As 0.778336(16) 0 0.59371(2) 0.00733(2) Uani d . 1 . .
Zn Zn 0.5 0.189961(17) 0 0.01183(3) Uani d . 1 . .
O O1 0.60159(13) 0 0.27379(17) 0.00955(15) Uani d . 1 . .
O O2 1 -0.0555(3) 0.5 0.0320(6) Uani d . 0.5 . .
O O3 0.77638(11) -0.16236(8) 0.78521(14) 0.01460(16) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
As 0.00722(4) 0.00790(4) 0.00575(4) 0 -0.00025(2) 0 As
Zn 0.01428(6) 0.00676(5) 0.01090(5) 0 -0.00292(4) 0 Zn
O1 0.0107(2) 0.0090(2) 0.0068(2) 0 -0.00145(19) 0 O
O2 0.0133(6) 0.0439(12) 0.0440(11) 0 0.0168(7) 0 O
O3 0.0189(3) 0.0106(2) 0.0128(2) 0.0046(2) 0.0016(2) 0.00398(17) O

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

Wave vector code q_x q_z
1 0.31904 0.37169
2 0.63808 0.74338
3 0.95712 1.11507

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

Modulation code Atom site label Displacement axis Wave vector code
Asx1 As x 1
Asy1 As y 1
Asz1 As z 1
Asx2 As x 2
Asy2 As y 2
Asz2 As z 2
Znx1 Zn x 1
Zny1 Zn y 1
Znz1 Zn z 1
Znx2 Zn x 2
Zny2 Zn y 2
Znz2 Zn z 2
Znx3 Zn x 3
Zny3 Zn y 3
Znz3 Zn z 3
O1x1 O1 x 1
O1y1 O1 y 1
O1z1 O1 z 1
O1x2 O1 x 2
O1y2 O1 y 2
O1z2 O1 z 2
O2x1 O2 x 1
O2y1 O2 y 1
O2z1 O2 z 1
O3x1 O3 x 1
O3y1 O3 y 1
O3z1 O3 z 1
O3x2 O3 x 2
O3y2 O3 y 2
O3z2 O3 z 2

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Asx1 0 0
Asy1 0.007880(18) 0.009791(18)
Asz1 0 0
Asx2 -0.00183(3) -0.00012(3)
Asy2 0 0
Asz2 0.00175(4) 0.00301(4)
Znx1 0 0.03255(5)
Zny1 0.00456(5) 0
Znz1 0 -0.02492(6)
Znx2 0 -0.00876(10)
Zny2 0.00097(18) 0
Znz2 0 -0.00123(13)
Znx3 0 0.00325(15)
Zny3 0.0029(3) 0
Znz3 0 -0.0049(2)
O1x1 0 0
O1y1 0.00254(12) -0.01011(12)
O1z1 0 0
O1x2 0.0033(2) -0.0052(2)
O1y2 0 0
O1z2 -0.0006(3) 0.0023(3)
O2x1 0 -0.0148(4)
O2y1 0.0194(7) 0
O2z1 0 -0.0576(8)
O3x1 0.0108(3) 0.0393(2)
O3y1 -0.00301(17) 0.00701(19)
O3z1 0.0142(3) -0.0057(3)
O3x2 -0.0020(4) -0.0193(4)
O3y2 -0.0006(3) -0.0073(3)
O3z2 -0.0028(6) 0.0027(6)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
AsU111 As U11 1
AsU221 As U22 1
AsU331 As U33 1
AsU121 As U12 1
AsU131 As U13 1
AsU231 As U23 1
AsU112 As U11 2
AsU222 As U22 2
AsU332 As U33 2
AsU122 As U12 2
AsU132 As U13 2
AsU232 As U23 2
ZnU111 Zn U11 1
ZnU221 Zn U22 1
ZnU331 Zn U33 1
ZnU121 Zn U12 1
ZnU131 Zn U13 1
ZnU231 Zn U23 1
ZnU112 Zn U11 2
ZnU222 Zn U22 2
ZnU332 Zn U33 2
ZnU122 Zn U12 2
ZnU132 Zn U13 2
ZnU232 Zn U23 2
O1U111 O1 U11 1
O1U221 O1 U22 1
O1U331 O1 U33 1
O1U121 O1 U12 1
O1U131 O1 U13 1
O1U231 O1 U23 1
O1U112 O1 U11 2
O1U222 O1 U22 2
O1U332 O1 U33 2
O1U122 O1 U12 2
O1U132 O1 U13 2
O1U232 O1 U23 2
O2U111 O2 U11 1
O2U221 O2 U22 1
O2U331 O2 U33 1
O2U121 O2 U12 1
O2U131 O2 U13 1
O2U231 O2 U23 1
O3U111 O3 U11 1
O3U221 O3 U22 1
O3U331 O3 U33 1
O3U121 O3 U12 1
O3U131 O3 U13 1
O3U231 O3 U23 1
O3U112 O3 U11 2
O3U222 O3 U22 2
O3U332 O3 U33 2
O3U122 O3 U12 2
O3U132 O3 U13 2
O3U232 O3 U23 2

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
AsU111 0 0
AsU221 0 0
AsU331 0 0
AsU121 -0.00181(4) 0.00137(4)
AsU131 0 0
AsU231 0.00140(4) -0.00088(4)
AsU112 0.00059(8) -0.00093(7)
AsU222 0.00103(8) -0.00098(7)
AsU332 0.00032(7) -0.00042(7)
AsU122 0 0
AsU132 -0.00097(6) 0.00109(6)
AsU232 0 0
ZnU111 0.00503(17) 0
ZnU221 -0.00038(12) 0
ZnU331 0.00030(15) 0
ZnU121 0 -0.00122(7)
ZnU131 -0.00273(10) 0
ZnU231 0 0.00057(7)
ZnU112 -0.0129(3) 0
ZnU222 -0.0004(2) 0
ZnU332 -0.0068(3) 0
ZnU122 0 -0.00104(14)
ZnU132 0.0102(2) 0
ZnU232 0 -0.00096(13)
O1U111 0 0
O1U221 0 0
O1U331 0 0
O1U121 0.0004(3) 0.0013(3)
O1U131 0 0
O1U231 -0.0008(3) -0.0006(3)
O1U112 0.0003(6) 0.0003(5)
O1U222 -0.0001(6) 0.0000(6)
O1U332 -0.0003(5) 0.0002(5)
O1U122 0 0
O1U132 -0.0003(4) 0.0003(5)
O1U232 0 0
O2U111 -0.0098(17) 0
O2U221 0.003(4) 0
O2U331 -0.026(3) 0
O2U121 0 -0.0070(12)
O2U131 -0.0145(19) 0
O2U231 0 -0.0015(16)
O3U111 0.0128(10) 0.0077(6)
O3U221 0.0019(5) 0.0027(5)
O3U331 0.0016(6) 0.0016(5)
O3U121 0.0040(7) 0.0030(4)
O3U131 -0.0064(6) -0.0046(4)
O3U231 -0.0018(4) -0.0002(4)
O3U112 -0.0048(14) -0.0023(9)
O3U222 -0.0030(11) 0.0022(10)
O3U332 -0.0022(11) -0.0004(10)
O3U122 0.0012(10) 0.0012(7)
O3U132 -0.0051(10) -0.0013(8)
O3U232 -0.0018(9) 0.0009(8)

Occupation crenel coefficients: [ Help ]

Atom site label Center (x0) Width
Zn 0.25 1
O2 0.75 0.5
O3 0.03466(6) 1

alpha-Co2As2O7-superspace

Chemical data


Full Name: Dicobalt(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 Co2 O7 [ Help ]

Structural Formula: Co2 As2 O7 [ Help ]

Formula weight: 379.7 Da [ Help ]

Crystallographic data and experimental details


Crystal system: triclinic [ Help ]

Superspace group name: C-1(αβγ)0 [ 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 x1+1/2,x2+1/2,x3,x4
4 -x1+1/2,-x2+1/2,-x3,-x4

a: 6.5980(10) Å [ Help ]

b: 8.5230(10) Å [ Help ]

c: 4.7510(10) Å [ Help ]

α: 89.300(10) ° [ Help ]

β: 103.359(5) ° [ Help ]

γ: 88.771(3) ° [ Help ]

Volume: 259.85(7) Å3 [ Help ]

Z: 2 [ Help ]

Cell determination reflection Nb.: 4217 [ Help ]

θ(min) for cell determination: 2.682 ° [ Help ]

θ(max) for cell determination: 30.484 ° [ Help ]

Cell measurement temperature: 295 K [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.20000 0.20000 0.20000

μ: 19.001 mm-1 [ Help ]

Absorption correction type: numerical [ Help ]

Absorption correction remarks: Habitus (Herrendorf, 1997) [ Help ]

Minimum transmission factor: 0.1088 [ Help ]

Maximum transmission factor: 0.5898 [ Help ]

Refinement details


Refinement remarks: The modulation wave vectors have been corrected as they lack the y-components [ Help ]

Total nb. of reflections: 3866 [ Help ]

Nb. of observed reflections: 3229 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0334 [ Help ]

R(obs): 0.0289 [ Help ]

wR(obs): 0.0338 [ Help ]

wR(all): 0.0342 [ Help ]

S(all): 1.63 [ Help ]

Nb. of reflections: 3866 [ Help ]

Nb. of parameters: 251 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 0 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0186 [ Help ]

Δ/σ(mean): 0.0017 [ Help ]

Δρ(max): -1.50 e_Å-3 [ Help ]

Δρ(min): 1.61 e_Å-3 [ Help ]

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

Extinction coefficient: 744E1(10) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As As 0.77406(3) -0.00001(2) 0.59301(4) 0.00739(6) Uani d . 1 . .
Co Co 0.49045(4) -0.18987(3) 0.01305(6) 0.00934(8) Uani d . 1 . .
O O1 0.6050(2) 0.00294(16) 0.2739(3) 0.0105(4) Uani d . 1 . .
O O2 1 0 0.5 0.0244(7) Uani d . 1 . .
O O3 0.7818(2) -0.16407(15) -0.2212(3) 0.0136(4) Uani d . 1 . .
O O3b -0.7667(2) -0.16032(17) 0.2144(3) 0.0114(4) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
As 0.00785(10) 0.00669(10) 0.00696(10) 0.00061(6) 0.00037(7) -0.00052(7) As
Co 0.00960(13) 0.00740(13) 0.00999(13) 0.00064(9) 0.00020(10) -0.00049(9) Co
O1 0.0131(6) 0.0084(6) 0.0076(6) -0.0005(5) -0.0028(5) -0.0011(5) O
O2 0.0121(10) 0.0342(13) 0.0300(11) 0.0014(8) 0.0116(9) 0.0021(10) O
O3 0.0160(7) 0.0088(6) 0.0147(6) 0.0034(5) 0.0013(5) 0.0047(5) O
O3b 0.0121(6) 0.0096(6) 0.0129(6) -0.0014(5) 0.0029(5) -0.0053(5) O

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

Wave vector code q_x q_y q_z
1 0.20000 0.20000 0.20000
2 0.40000 0.40000 0.40000

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

Modulation code Atom site label Displacement axis Wave vector code
Asx1 As x 1
Asy1 As y 1
Asz1 As z 1
Asx2 As x 2
Asy2 As y 2
Asz2 As z 2
Cox1 Co x 1
Coy1 Co y 1
Coz1 Co z 1
Cox2 Co x 2
Coy2 Co y 2
Coz2 Co z 2
O1x1 O1 x 1
O1y1 O1 y 1
O1z1 O1 z 1
O1x2 O1 x 2
O1y2 O1 y 2
O1z2 O1 z 2
O2x1 O2 x 1
O2y1 O2 y 1
O2z1 O2 z 1
O2x2 O2 x 2
O2y2 O2 y 2
O2z2 O2 z 2
O3x1 O3 x 1
O3y1 O3 y 1
O3z1 O3 z 1
O3x2 O3 x 2
O3y2 O3 y 2
O3z2 O3 z 2
O3bx1 O3b x 1
O3by1 O3b y 1
O3bz1 O3b z 1
O3bx2 O3b x 2
O3by2 O3b y 2
O3bz2 O3b z 2

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Asx1 -0.00105(3) 0.01609(4)
Asy1 0.00577(3) 0.01377(3)
Asz1 -0.00576(5) -0.01465(5)
Asx2 -0.00892(4) -0.00126(4)
Asy2 0.00123(3) -0.01576(3)
Asz2 0.00966(5) 0.02475(5)
Cox1 0.00676(5) -0.00866(5)
Coy1 -0.00192(3) -0.00575(4)
Coz1 0.00231(6) 0.00944(7)
Cox2 0.01495(5) -0.01469(5)
Coy2 0.00467(4) 0.00243(4)
Coz2 -0.01944(7) 0.00555(6)
O1x1 0.0009(2) 0.0029(2)
O1y1 0.00728(18) -0.00370(17)
O1z1 -0.0061(3) 0.0009(3)
O1x2 0.0264(3) 0.0119(3)
O1y2 -0.01120(18) -0.00234(18)
O1z2 0.0033(3) -0.0013(3)
O2x1 0 0.0032(4)
O2y1 0 0.0667(3)
O2z1 0 -0.0378(5)
O2x2 0 0.0289(4)
O2y2 0 -0.0493(3)
O2z2 0 0.1181(6)
O3x1 -0.0019(2) 0.0448(3)
O3y1 0.00499(18) 0.00860(19)
O3z1 -0.0025(3) -0.0444(3)
O3x2 -0.0365(3) -0.0367(3)
O3y2 0.00349(19) -0.01400(19)
O3z2 0.0227(4) 0.0291(3)
O3bx1 0.0027(2) -0.0079(2)
O3by1 -0.00253(18) 0.00523(18)
O3bz1 0.0023(3) 0.0031(3)
O3bx2 0.0160(3) -0.0146(2)
O3by2 -0.01216(18) -0.00143(19)
O3bz2 0.0120(3) 0.0021(3)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
AsU111 As U11 1
AsU221 As U22 1
AsU331 As U33 1
AsU121 As U12 1
AsU131 As U13 1
AsU231 As U23 1
AsU112 As U11 2
AsU222 As U22 2
AsU332 As U33 2
AsU122 As U12 2
AsU132 As U13 2
AsU232 As U23 2
CoU111 Co U11 1
CoU221 Co U22 1
CoU331 Co U33 1
CoU121 Co U12 1
CoU131 Co U13 1
CoU231 Co U23 1
CoU112 Co U11 2
CoU222 Co U22 2
CoU332 Co U33 2
CoU122 Co U12 2
CoU132 Co U13 2
CoU232 Co U23 2
O1U111 O1 U11 1
O1U221 O1 U22 1
O1U331 O1 U33 1
O1U121 O1 U12 1
O1U131 O1 U13 1
O1U231 O1 U23 1
O1U112 O1 U11 2
O1U222 O1 U22 2
O1U332 O1 U33 2
O1U122 O1 U12 2
O1U132 O1 U13 2
O1U232 O1 U23 2
O2U111 O2 U11 1
O2U221 O2 U22 1
O2U331 O2 U33 1
O2U121 O2 U12 1
O2U131 O2 U13 1
O2U231 O2 U23 1
O2U112 O2 U11 2
O2U222 O2 U22 2
O2U332 O2 U33 2
O2U122 O2 U12 2
O2U132 O2 U13 2
O2U232 O2 U23 2
O3U111 O3 U11 1
O3U221 O3 U22 1
O3U331 O3 U33 1
O3U121 O3 U12 1
O3U131 O3 U13 1
O3U231 O3 U23 1
O3U112 O3 U11 2
O3U222 O3 U22 2
O3U332 O3 U33 2
O3U122 O3 U12 2
O3U132 O3 U13 2
O3U232 O3 U23 2
O3bU111 O3b U11 1
O3bU221 O3b U22 1
O3bU331 O3b U33 1
O3bU121 O3b U12 1
O3bU131 O3b U13 1
O3bU231 O3b U23 1
O3bU112 O3b U11 2
O3bU222 O3b U22 2
O3bU332 O3b U33 2
O3bU122 O3b U12 2
O3bU132 O3b U13 2
O3bU232 O3b U23 2

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
AsU111 0.00003(10) -0.00019(10)
AsU221 0.00038(10) 0.00008(10)
AsU331 -0.00015(10) 0.00003(10)
AsU121 -0.00001(8) 0.00007(8)
AsU131 -0.00006(8) -0.00027(9)
AsU231 0.00003(8) 0.00002(8)
AsU112 -0.00084(10) 0.00018(10)
AsU222 0.00000(10) -0.00016(10)
AsU332 -0.00051(9) 0.00003(10)
AsU122 -0.00024(8) 0.00013(8)
AsU132 0.00033(8) 0.00016(8)
AsU232 0.00026(8) 0.00003(8)
CoU111 0.00071(14) -0.00045(14)
CoU221 -0.00006(13) 0.00008(13)
CoU331 0.00046(14) 0.00029(14)
CoU121 0.00042(11) -0.00007(11)
CoU131 -0.00067(12) 0.00020(12)
CoU231 0.00026(11) -0.00083(11)
CoU112 -0.00001(14) -0.00073(14)
CoU222 -0.00011(14) -0.00013(14)
CoU332 -0.00003(14) -0.00118(14)
CoU122 -0.00043(11) -0.00061(11)
CoU132 -0.00001(11) 0.00086(11)
CoU232 0.00023(12) 0.00035(11)
O1U111 -0.0011(8) 0.0012(8)
O1U221 -0.0010(7) 0.0000(7)
O1U331 -0.0001(7) 0.0010(7)
O1U121 -0.0008(6) -0.0009(6)
O1U131 0.0001(6) -0.0008(6)
O1U231 -0.0001(6) -0.0011(6)
O1U112 0.0018(8) -0.0037(8)
O1U222 0.0002(8) 0.0007(8)
O1U332 -0.0001(7) -0.0001(7)
O1U122 0.0012(6) 0.0001(6)
O1U132 -0.0007(6) 0.0007(6)
O1U232 -0.0003(6) 0.0008(6)
O2U111 -0.0061(14) 0
O2U221 0.0132(18) 0
O2U331 -0.0194(19) 0
O2U121 0.0016(12) 0
O2U131 -0.0117(14) 0
O2U231 0.0022(15) 0
O2U112 0.0057(14) 0
O2U222 0.0207(17) 0
O2U332 0.0252(19) 0
O2U122 -0.0022(12) 0
O2U132 0.0124(14) 0
O2U232 -0.0015(14) 0
O3U111 0.0001(8) 0.0048(9)
O3U221 -0.0002(7) 0.0013(8)
O3U331 0.0001(8) 0.0029(8)
O3U121 0.0002(6) 0.0007(7)
O3U131 -0.0004(7) -0.0018(7)
O3U231 -0.0002(6) 0.0007(7)
O3U112 -0.0035(9) -0.0028(8)
O3U222 -0.0011(8) -0.0012(8)
O3U332 -0.0032(8) -0.0026(8)
O3U122 -0.0001(7) -0.0012(6)
O3U132 0.0017(7) 0.0023(6)
O3U232 -0.0002(7) -0.0010(6)
O3bU111 0.0007(8) 0.0003(8)
O3bU221 -0.0007(7) -0.0017(7)
O3bU331 -0.0001(8) 0.0006(8)
O3bU121 -0.0001(6) 0.0000(6)
O3bU131 -0.0001(6) -0.0002(6)
O3bU231 0.0008(6) 0.0006(6)
O3bU112 0.0009(8) -0.0006(8)
O3bU222 0.0003(8) 0.0024(8)
O3bU332 0.0007(8) 0.0013(8)
O3bU122 0.0002(6) -0.0008(6)
O3bU132 0.0000(6) 0.0014(6)
O3bU232 0.0008(6) -0.0021(6)

alpha-Ni2As2O7-superspace

Chemical data


Full Name: Dinickel(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 Ni2 O7 [ Help ]

Structural Formula: Ni2 As2 O7 [ Help ]

Formula weight: 379.2 Da [ Help ]

Crystallographic data and experimental details


Crystal system: triclinic [ Help ]

Superspace group name: C1(αβγ)0 [ Help ]

Symmetry operations of the superspace group: [ Help ]

Operation code Operation in algebraic form
1 x1,x2,x3,x4
2 x1+1/2,x2+1/2,x3,x4

a: 6.499 Å [ Help ]

b: 8.4276 Å [ Help ]

c: 4.7223 Å [ Help ]

α: 89.19(7) ° [ Help ]

β: 103.28(5) ° [ Help ]

γ: 89.46(3) ° [ Help ]

Volume: 251.7(3) Å3 [ Help ]

Z: 2 [ Help ]

Cell determination reflection Nb.: 2877 [ Help ]

θ(min) for cell determination: 2.820 ° [ Help ]

θ(max) for cell determination: 30.5024 ° [ Help ]

Cell measurement temperature: 295 K [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.33333 0.33333 0.33333

μ: 20.508 mm-1 [ Help ]

Absorption correction type: numerical [ Help ]

Absorption correction remarks: HABITUS (Herrendorf, 1997) [ Help ]

Minimum transmission factor: 0.1087 [ Help ]

Maximum transmission factor: 0.5542 [ Help ]

Refinement details


Refinement remarks: The modulation wave vectors have been corrected as they lack the y-components [ Help ]

Total nb. of reflections: 5394 [ Help ]

Nb. of observed reflections: 5331 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0271 [ Help ]

R(obs): 0.0269 [ Help ]

wR(obs): 0.0316 [ Help ]

wR(all): 0.0317 [ Help ]

S(all): 1.76 [ Help ]

Nb. of reflections: 5394 [ Help ]

Nb. of parameters: 296 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 3 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0119 [ Help ]

Δ/σ(mean): 0.0015 [ Help ]

Δρ(max): 1.40 e_Å-3 [ Help ]

Δρ(min): -0.71 e_Å-3 [ Help ]

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

Extinction coefficient: 970E1(11) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
As Asa 0.226744 1.000183 0.405842 0.00335(6) Uani d . 1 . .
As Asb 0.77326(5) -1.00018(4) 0.59416(6) 0.00337(6) Uani d . 1 . .
Ni Nia 0.52533(5) 1.19773(4) 0.97000(7) 0.00477(8) Uani d . 1 . .
Ni Nib 0.50925(5) 0.82174(4) 0.99693(7) 0.00477(8) Uani d . 1 . .
O O1a 0.4114(3) 1.0057(2) 0.7167(4) 0.0053(4) Uani d . 1 . .
O O1b 0.6218(3) 1.0098(2) 1.2580(4) 0.0063(4) Uani d . 1 . .
O O2 0.0157(3) 0.9713(2) 0.5299(4) 0.0138(4) Uani d . 1 . .
O O3a 0.2033(3) 1.16825(19) 1.2381(4) 0.0094(4) Uani d . 1 . .
O O3b 0.7666(3) 0.8357(2) 0.7970(4) 0.0072(4) Uani d . 1 . .
O O3c 0.2445(3) 0.8443(2) 1.2013(4) 0.0073(4) Uani d . 1 . .
O O3d 0.7825(3) 1.1677(2) 0.7769(4) 0.0073(4) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
Asa 0.00282(9) 0.00406(10) 0.00305(10) -0.00031(7) 0.00043(7) 0.00033(7) As
Asb 0.00319(9) 0.00385(9) 0.00293(9) -0.00053(6) 0.00040(7) 0.00028(7) As
Nia 0.00410(13) 0.00468(13) 0.00546(13) -0.00047(10) 0.00092(11) 0.00005(10) Ni
Nib 0.00407(12) 0.00488(13) 0.00508(13) -0.00031(9) 0.00050(10) 0.00047(10) Ni
O1a 0.0066(7) 0.0059(7) 0.0027(7) -0.0008(5) -0.0007(6) -0.0005(5) O
O1b 0.0069(6) 0.0058(7) 0.0046(7) 0.0007(5) -0.0018(5) 0.0012(5) O
O2 0.0046(6) 0.0249(9) 0.0134(7) 0.0008(5) 0.0054(5) 0.0014(6) O
O3a 0.0108(7) 0.0065(7) 0.0109(7) 0.0028(5) 0.0031(6) 0.0043(5) O
O3b 0.0061(7) 0.0057(7) 0.0100(7) 0.0014(6) 0.0027(6) 0.0048(6) O
O3c 0.0078(7) 0.0067(7) 0.0079(7) -0.0029(6) 0.0023(6) -0.0041(6) O
O3d 0.0065(7) 0.0070(7) 0.0089(7) -0.0021(5) 0.0026(5) -0.0037(6) O

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

Wave vector code q_x q_y q_z
1 0.33333 0.33333 0.33333

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

Modulation code Atom site label Displacement axis Wave vector code
Asax1 Asa x 1
Asay1 Asa y 1
Asaz1 Asa z 1
Asbx1 Asb x 1
Asby1 Asb y 1
Asbz1 Asb z 1
Niax1 Nia x 1
Niay1 Nia y 1
Niaz1 Nia z 1
Nibx1 Nib x 1
Niby1 Nib y 1
Nibz1 Nib z 1
O1ax1 O1a x 1
O1ay1 O1a y 1
O1az1 O1a z 1
O1bx1 O1b x 1
O1by1 O1b y 1
O1bz1 O1b z 1
O2x1 O2 x 1
O2y1 O2 y 1
O2z1 O2 z 1
O3ax1 O3a x 1
O3ay1 O3a y 1
O3az1 O3a z 1
O3bx1 O3b x 1
O3by1 O3b y 1
O3bz1 O3b z 1
O3cx1 O3c x 1
O3cy1 O3c y 1
O3cz1 O3c z 1
O3dx1 O3d x 1
O3dy1 O3d y 1
O3dz1 O3d z 1

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Asax1 -0.02074(4) 0.02011(4)
Asay1 -0.00616(3) 0.00943(3)
Asaz1 0.01373(6) -0.02512(6)
Asbx1 -0.00961(4) 0.00597(4)
Asby1 -0.00154(3) 0.02799(4)
Asbz1 -0.01136(6) -0.03540(6)
Niax1 0.02647(6) -0.01176(6)
Niay1 0.01134(4) -0.00626(4)
Niaz1 -0.03111(8) 0.01370(7)
Nibx1 0.01020(6) 0.03063(6)
Niby1 0.00020(4) -0.00274(4)
Nibz1 0.00328(8) -0.01892(7)
O1ax1 0.0026(3) -0.0318(3)
O1ay1 -0.0040(2) -0.0031(2)
O1az1 0.0019(4) 0.0160(4)
O1bx1 -0.0404(3) 0.0116(3)
O1by1 0.0196(2) 0.0035(2)
O1bz1 -0.0076(4) -0.0099(4)
O2x1 -0.0289(3) -0.0199(3)
O2y1 -0.0370(3) 0.0657(3)
O2z1 -0.0481(5) -0.1185(5)
O3ax1 -0.0559(3) 0.0868(3)
O3ay1 -0.0015(2) 0.0085(2)
O3az1 0.0502(4) -0.0516(4)
O3bx1 0.0086(3) 0.0268(3)
O3by1 0.0013(2) 0.0244(2)
O3bz1 0.0137(4) -0.0455(4)
O3cx1 0.0132(3) 0.0271(3)
O3cy1 0.0029(2) -0.0066(2)
O3cz1 -0.0042(4) 0.0117(4)
O3dx1 0.0368(3) -0.0091(3)
O3dy1 -0.0172(2) 0.0146(2)
O3dz1 0.0151(4) -0.0151(4)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
AsaU111 Asa U11 1
AsaU221 Asa U22 1
AsaU331 Asa U33 1
AsaU121 Asa U12 1
AsaU131 Asa U13 1
AsaU231 Asa U23 1
AsbU111 Asb U11 1
AsbU221 Asb U22 1
AsbU331 Asb U33 1
AsbU121 Asb U12 1
AsbU131 Asb U13 1
AsbU231 Asb U23 1
NiaU111 Nia U11 1
NiaU221 Nia U22 1
NiaU331 Nia U33 1
NiaU121 Nia U12 1
NiaU131 Nia U13 1
NiaU231 Nia U23 1
NibU111 Nib U11 1
NibU221 Nib U22 1
NibU331 Nib U33 1
NibU121 Nib U12 1
NibU131 Nib U13 1
NibU231 Nib U23 1
O1aU111 O1a U11 1
O1aU221 O1a U22 1
O1aU331 O1a U33 1
O1aU121 O1a U12 1
O1aU131 O1a U13 1
O1aU231 O1a U23 1
O1bU111 O1b U11 1
O1bU221 O1b U22 1
O1bU331 O1b U33 1
O1bU121 O1b U12 1
O1bU131 O1b U13 1
O1bU231 O1b U23 1
O2U111 O2 U11 1
O2U221 O2 U22 1
O2U331 O2 U33 1
O2U121 O2 U12 1
O2U131 O2 U13 1
O2U231 O2 U23 1
O3aU111 O3a U11 1
O3aU221 O3a U22 1
O3aU331 O3a U33 1
O3aU121 O3a U12 1
O3aU131 O3a U13 1
O3aU231 O3a U23 1
O3bU111 O3b U11 1
O3bU221 O3b U22 1
O3bU331 O3b U33 1
O3bU121 O3b U12 1
O3bU131 O3b U13 1
O3bU231 O3b U23 1
O3cU111 O3c U11 1
O3cU221 O3c U22 1
O3cU331 O3c U33 1
O3cU121 O3c U12 1
O3cU131 O3c U13 1
O3cU231 O3c U23 1
O3dU111 O3d U11 1
O3dU221 O3d U22 1
O3dU331 O3d U33 1
O3dU121 O3d U12 1
O3dU131 O3d U13 1
O3dU231 O3d U23 1

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
AsaU111 0.00024(12) -0.00001(12)
AsaU221 0.00003(11) 0.00029(12)
AsaU331 -0.00009(10) -0.00007(12)
AsaU121 0.00022(9) -0.00009(9)
AsaU131 0.00000(9) 0.00018(9)
AsaU231 -0.00017(8) 0.00017(9)
AsbU111 0.00064(12) -0.00041(11)
AsbU221 0.00003(12) 0.00027(13)
AsbU331 -0.00010(10) -0.00016(12)
AsbU121 -0.00005(9) -0.00004(10)
AsbU131 -0.00039(9) 0.00002(9)
AsbU231 0.00003(8) -0.00018(9)
NiaU111 0.00000(16) 0.00035(15)
NiaU221 -0.00008(15) -0.00025(14)
NiaU331 0.00000(15) -0.00035(13)
NiaU121 0.00029(12) 0.00009(11)
NiaU131 0.00025(12) -0.00027(11)
NiaU231 0.00010(12) 0.00040(10)
NibU111 0.00016(14) 0.00091(17)
NibU221 -0.00009(15) -0.00020(15)
NibU331 0.00024(14) 0.00033(15)
NibU121 0.00026(11) 0.00007(13)
NibU131 -0.00001(12) -0.00094(12)
NibU231 0.00009(11) 0.00015(12)
O1aU111 -0.0021(8) 0.0006(9)
O1aU221 0.0007(8) 0.0008(8)
O1aU331 0.0006(7) 0.0000(8)
O1aU121 0.0005(6) 0.0002(7)
O1aU131 0.0000(6) -0.0004(7)
O1aU231 0.0006(6) 0.0002(6)
O1bU111 -0.0006(9) 0.0023(8)
O1bU221 0.0012(10) -0.0009(8)
O1bU331 0.0019(8) 0.0000(7)
O1bU121 -0.0014(7) -0.0008(6)
O1bU131 -0.0002(7) -0.0012(6)
O1bU231 -0.0005(7) -0.0008(6)
O2U111 -0.0006(10) 0.0002(9)
O2U221 -0.0046(14) 0.0178(13)
O2U331 -0.0029(11) 0.0037(10)
O2U121 0.0009(9) 0.0004(8)
O2U131 -0.0017(8) 0.0008(8)
O2U231 0.0021(10) 0.0000(9)
O3aU111 0.0033(9) -0.0059(9)
O3aU221 0.0025(9) -0.0021(9)
O3aU331 0.0016(9) -0.0031(9)
O3aU121 0.0025(7) -0.0016(7)
O3aU131 -0.0014(7) 0.0008(7)
O3aU231 0.0016(7) -0.0014(7)
O3bU111 -0.0008(8) 0.0006(8)
O3bU221 0.0014(8) 0.0003(9)
O3bU331 -0.0003(8) 0.0004(9)
O3bU121 0.0016(6) 0.0007(7)
O3bU131 0.0003(6) -0.0015(7)
O3bU231 0.0001(6) 0.0011(7)
O3cU111 -0.0015(9) 0.0017(9)
O3cU221 0.0002(8) -0.0023(9)
O3cU331 0.0000(8) 0.0003(8)
O3cU121 -0.0003(6) 0.0003(7)
O3cU131 0.0000(7) -0.0005(7)
O3cU231 0.0005(6) 0.0012(7)
O3dU111 0.0000(9) 0.0016(8)
O3dU221 -0.0020(9) -0.0006(9)
O3dU331 0.0014(8) -0.0014(8)
O3dU121 -0.0013(7) -0.0003(6)
O3dU131 0.0008(7) -0.0009(7)
O3dU231 -0.0005(7) 0.0000(6)

alpha-Zn2As2O7-superspace

Chemical data


Full Name: Zinc(II) diarsenate(V) [ Help ]

Structural Formula Sum: As2 O7 Zn2 [ Help ]

Structural Formula: Zn2 As2 O7 [ Help ]

Formula weight: 392.6 Da [ Help ]

Crystallographic data and experimental details


Crystal system: monoclinic [ Help ]

Superspace group name: C2/m(α0γ)0s [ Help ]

Symmetry operations of the superspace group: [ Help ]

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

a: 6.86010(10) Å [ Help ]

b: 8.43660(10) Å [ Help ]

c: 4.80900(10) Å [ Help ]

α: 90 ° [ Help ]

β: 106.5640(7) ° [ Help ]

γ: 90 ° [ Help ]

Volume: 266.756(5) Å3 [ Help ]

Z: 2 [ Help ]

Cell determination reflection Nb.: 10939 [ Help ]

θ(min) for cell determination: 3.5013 ° [ Help ]

θ(max) for cell determination: 44.911 ° [ Help ]

Cell measurement temperature: 240 K [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 -0.33333 0.00000 0.50000

μ: 21.284 mm-1 [ Help ]

Absorption correction type: multi-scan [ Help ]

Absorption correction remarks: SADABS (Bruker, 2008) [ Help ]

Minimum transmission factor: 0.3614 [ Help ]

Maximum transmission factor: 0.7489 [ Help ]

Refinement details


Total nb. of reflections: 6626 [ Help ]

Nb. of observed reflections: 4899 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0391 [ Help ]

R(obs): 0.0234 [ Help ]

wR(obs): 0.0296 [ Help ]

wR(all): 0.0323 [ Help ]

S(all): 1.24 [ Help ]

Nb. of reflections: 6626 [ Help ]

Nb. of parameters: 149 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 0 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0331 [ Help ]

Δ/σ(mean): 0.0038 [ Help ]

Δρ(max): 1.04 e_Å-3 [ Help ]

Δρ(min): -0.94 e_Å-3 [ Help ]

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

Extinction coefficient: 192E1(5) [ Help ]

Structural Information


Average Structure: [ Help ]

Atom symbol Atom site label x y z Uiso/equiv ADP type Coords from (d)iffraction or (c)alculated Coords restraints or constraints Occupancy Disordered cluster Disordered group
Zn Zn 0.5 0.187161(13) 0 0.00700(3) Uani d . 1 . .
As As 0.785841(14) 0 0.58964(2) 0.00487(2) Uani d . 1 . .
O O1 0.60574(12) 0 0.27260(16) 0.00742(16) Uani d . 1 . .
O O2 1 0 0.5 0.0148(3) Uani d . 1 . .
O O3 0.78483(9) -0.16134(7) 0.78056(12) 0.00979(12) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
Zn 0.00729(5) 0.00552(4) 0.00727(5) 0 0.00060(3) 0 Zn
As 0.00486(4) 0.00511(4) 0.00420(4) 0 0.00059(3) 0 As
O1 0.0086(3) 0.0064(2) 0.0052(2) 0 -0.0013(2) 0 O
O2 0.0077(4) 0.0195(5) 0.0199(5) 0 0.0081(3) 0 O
O3 0.0109(2) 0.00777(18) 0.0103(2) 0.00233(14) 0.00237(16) 0.00395(15) O

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

Wave vector code q_x q_z
1 -0.33333 0.50000
2 -0.66667 1.00000
3 -1.00000 1.50000

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

Modulation code Atom site label Displacement axis Wave vector code
Znx1 Zn x 1
Zny1 Zn y 1
Znz1 Zn z 1
Znx2 Zn x 2
Zny2 Zn y 2
Znz2 Zn z 2
Znx3 Zn x 3
Zny3 Zn y 3
Znz3 Zn z 3
Asx1 As x 1
Asy1 As y 1
Asz1 As z 1
Asx2 As x 2
Asy2 As y 2
Asz2 As z 2
Asx3 As x 3
Asy3 As y 3
Asz3 As z 3
O1x1 O1 x 1
O1y1 O1 y 1
O1z1 O1 z 1
O1x2 O1 x 2
O1y2 O1 y 2
O1z2 O1 z 2
O1x3 O1 x 3
O1y3 O1 y 3
O1z3 O1 z 3
O2x1 O2 x 1
O2y1 O2 y 1
O2z1 O2 z 1
O2x2 O2 x 2
O2y2 O2 y 2
O2z2 O2 z 2
O2x3 O2 x 3
O2y3 O2 y 3
O2z3 O2 z 3
O3x1 O3 x 1
O3y1 O3 y 1
O3z1 O3 z 1
O3x2 O3 x 2
O3y2 O3 y 2
O3z2 O3 z 2
O3x3 O3 x 3
O3y3 O3 y 3
O3z3 O3 z 3

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Znx1 -0.04414(2) 0
Zny1 0 0.000589(18)
Znz1 0.03754(3) 0
Znx2 0 -0.02180(2)
Zny2 -0.000205(18) 0
Znz2 0 0.02433(3)
Znx3 0.003549(14) 0
Zny3 0 2E1(2)
Znz3 0 0
Asx1 0 0
Asy1 -0.016797(15) 0.005377(14)
Asz1 0 0
Asx2 -0.009495(17) -0.004491(16)
Asy2 0 0
Asz2 0.01095(2) -0.01064(2)
Asx3 0 0
Asy3 0 -0.001227(19)
Asz3 0 0
O1x1 0 0
O1y1 -0.01135(11) -0.00196(10)
O1z1 0 0
O1x2 0.00178(12) -0.01285(12)
O1y2 0 0
O1z2 -0.01351(17) 0.00465(17)
O1x3 0 0
O1y3 0 -0.00120(8)
O1z3 0 0
O2x1 0 0
O2y1 0 0.09235(19)
O2z1 0 0
O2x2 0 -0.0186(2)
O2y2 0 0
O2z2 0 -0.0854(3)
O2x3 0 0
O2y3 0 0.00797(12)
O2z3 0 0
O3x1 -0.04568(11) 0.01531(10)
O3y1 -0.00781(8) -0.00365(7)
O3z1 0.00703(15) 0.00155(14)
O3x2 -0.00788(9) -0.02452(9)
O3y2 0.00044(7) -0.00231(7)
O3z2 0.00849(14) 0.00018(13)
O3x3 0 -0.00404(10)
O3y3 0 -0.00102(8)
O3z3 0 -0.00035(16)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
ZnU111 Zn U11 1
ZnU221 Zn U22 1
ZnU331 Zn U33 1
ZnU121 Zn U12 1
ZnU131 Zn U13 1
ZnU231 Zn U23 1
ZnU112 Zn U11 2
ZnU222 Zn U22 2
ZnU332 Zn U33 2
ZnU122 Zn U12 2
ZnU132 Zn U13 2
ZnU232 Zn U23 2
ZnU113 Zn U11 3
ZnU223 Zn U22 3
ZnU333 Zn U33 3
ZnU123 Zn U12 3
ZnU133 Zn U13 3
ZnU233 Zn U23 3
AsU111 As U11 1
AsU221 As U22 1
AsU331 As U33 1
AsU121 As U12 1
AsU131 As U13 1
AsU231 As U23 1
AsU112 As U11 2
AsU222 As U22 2
AsU332 As U33 2
AsU122 As U12 2
AsU132 As U13 2
AsU232 As U23 2
AsU113 As U11 3
AsU223 As U22 3
AsU333 As U33 3
AsU123 As U12 3
AsU133 As U13 3
AsU233 As U23 3
O1U111 O1 U11 1
O1U221 O1 U22 1
O1U331 O1 U33 1
O1U121 O1 U12 1
O1U131 O1 U13 1
O1U231 O1 U23 1
O1U112 O1 U11 2
O1U222 O1 U22 2
O1U332 O1 U33 2
O1U122 O1 U12 2
O1U132 O1 U13 2
O1U232 O1 U23 2
O1U113 O1 U11 3
O1U223 O1 U22 3
O1U333 O1 U33 3
O1U123 O1 U12 3
O1U133 O1 U13 3
O1U233 O1 U23 3
O2U111 O2 U11 1
O2U221 O2 U22 1
O2U331 O2 U33 1
O2U121 O2 U12 1
O2U131 O2 U13 1
O2U231 O2 U23 1
O2U112 O2 U11 2
O2U222 O2 U22 2
O2U332 O2 U33 2
O2U122 O2 U12 2
O2U132 O2 U13 2
O2U232 O2 U23 2
O2U113 O2 U11 3
O2U223 O2 U22 3
O2U333 O2 U33 3
O2U123 O2 U12 3
O2U133 O2 U13 3
O2U233 O2 U23 3
O3U111 O3 U11 1
O3U221 O3 U22 1
O3U331 O3 U33 1
O3U121 O3 U12 1
O3U131 O3 U13 1
O3U231 O3 U23 1
O3U112 O3 U11 2
O3U222 O3 U22 2
O3U332 O3 U33 2
O3U122 O3 U12 2
O3U132 O3 U13 2
O3U232 O3 U23 2
O3U113 O3 U11 3
O3U223 O3 U22 3
O3U333 O3 U33 3
O3U123 O3 U12 3
O3U133 O3 U13 3
O3U233 O3 U23 3

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
ZnU111 0 0.00083(5)
ZnU221 0 0.00001(5)
ZnU331 0 -0.00003(5)
ZnU121 0.00033(4) 0
ZnU131 0 -0.00079(4)
ZnU231 -0.00014(4) 0
ZnU112 0.00008(5) 0
ZnU222 -0.00006(5) 0
ZnU332 -0.00004(6) 0
ZnU122 0 -0.00017(4)
ZnU132 0.00006(4) 0
ZnU232 0 0.00002(4)
ZnU113 0 0
ZnU223 0 0
ZnU333 0 0
ZnU123 0 0
ZnU133 0 0
ZnU233 0 0
AsU111 0 0
AsU221 0 0
AsU331 0 0
AsU121 0.00002(3) 0.00077(3)
AsU131 0 0
AsU231 0.00016(3) -0.00075(3)
AsU112 -0.00009(4) 0.00035(4)
AsU222 -0.00029(4) -0.00005(5)
AsU332 -0.00043(4) -0.00019(4)
AsU122 0 0
AsU132 0.00043(3) -0.00005(3)
AsU232 0 0
AsU113 0 0
AsU223 0 0
AsU333 0 0
AsU123 0 -0.00020(4)
AsU133 0 0
AsU233 0 0.00013(5)
O1U111 0 0
O1U221 0 0
O1U331 0 0
O1U121 0.0013(3) 0.0004(2)
O1U131 0 0
O1U231 -0.0002(2) -0.0003(2)
O1U112 0.0014(3) -0.0021(3)
O1U222 -0.0002(3) 0.0004(3)
O1U332 -0.0007(3) 0.0004(3)
O1U122 0 0
O1U132 0.0006(2) -0.0001(2)
O1U232 0 0
O1U113 0 0
O1U223 0 0
O1U333 0 0
O1U123 0 0.0001(2)
O1U133 0 0
O1U233 0 0.0003(2)
O2U111 0 0
O2U221 0 0
O2U331 0 0
O2U121 0.0028(5) 0
O2U131 0 0
O2U231 0.0023(6) 0
O2U112 0.0002(5) 0
O2U222 0.0050(6) 0
O2U332 -0.0017(7) 0
O2U122 0 0
O2U132 -0.0007(5) 0
O2U232 0 0
O2U113 0 0
O2U223 0 0
O2U333 0 0
O2U123 0 0
O2U133 0 0
O2U233 0 0
O3U111 -0.0029(3) 0.0028(3)
O3U221 -0.0002(2) 0.0004(2)
O3U331 -0.0019(3) 0.0019(3)
O3U121 -0.0009(2) 0.00045(19)
O3U131 0.0017(2) -0.0017(2)
O3U231 -0.0004(2) 0.00012(19)
O3U112 -0.0001(3) -0.0021(3)
O3U222 0.0004(2) -0.0010(2)
O3U332 0.0001(3) -0.0013(2)
O3U122 0.0002(2) -0.00066(18)
O3U132 0.0006(2) 0.0010(2)
O3U232 0.0003(2) -0.00015(19)
O3U113 0 -0.0009(3)
O3U223 0 -0.0001(3)
O3U333 0 0.0000(3)
O3U123 0 -0.0002(2)
O3U133 0 0.0000(2)
O3U233 0 0.0005(2)