BaNiP2O7,a triclinic Diphosphate with a modulated structure of the displacive type

Authors:

Riou, D.; Leligny, H.; Pham, C.; Labbe, P.; Raveau, B.

Journal:

Acta Cryst. B 47 608-617 (1991)

DOI:

https://doi.org/10.1107/S0108768191002811

B-IncStrDB ID: 222EoiaVq Entry date: 2010-11-08 Last revision: 2024-01-02

BaNi_REFRNCE

Chemical data


Structural Formula Sum: Ba1 Ni1 O7 P2 [ Help ]

Formula weight: 370 Da [ Help ]

Crystallographic data and experimental details


a: 5.317(2) Å [ Help ]

b: 7.580(4) Å [ Help ]

c: 7.116(2) Å [ Help ]

α: 101.26(2) ° [ Help ]

β: 84.48(3) ° [ Help ]

γ: 89.49(3) ° [ Help ]

Volume: 279.9(2) Å3 [ Help ]

Z: 2 [ Help ]

μ: 10.911 mm-1 [ Help ]

Cell measurement temperature: 294 K [ Help ]

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

Refinement details


Refinement remarks: Average structure refined with a splitted model. The incommensurate model includes atomic phason Overhauser factors. WARNING: The published thermal displacement parameters, Biso, have been converted to Uiso. [ Help ]

R(obs): 0.052 [ Help ]

Structural Information


Average Structure: [ Help ]

Atom site label Atom symbol Symmetry multiplicity Occupancy x y z Uiso/equiv ADP type
Ba1 Ba 2 0.5 0.1841(1) 0.06677(7) 0.21715(7) 0.00828(8) ?
Ba2 Ba 2 0.5 0.2294(1) 0.07410(7) 0.23475(7) 0.00907(9) ?
Ni1 Ni 2 0.5 0.1798(3) 0.5911(2) 0.4069(2) 0.0092(3) ?
Ni2 Ni 2 0.5 0.1922(3) 0.6153(2) 0.3316(2) 0.0117(3) ?
P1a P 2 0.5 0.7036(5) 0.3940(3) 0.2194(4) 0.0096(4) ?
P1b P 2 0.5 0.7072(6) 0.4218(4) 0.1611(4) 0.0109(5) ?
P2 P 2 1 0.6974(4) 0.7896(3) 0.2736(2) 0.0191(4) ?
O1 O 2 1 0.9250(9) 0.8013(6) 0.3934(6) 0.0152(8) ?
O2 O 2 1 0.446(1) 0.7959(8) 0.3970(7) 0.023(1) ?
O3 O 2 1 0.710(1) 0.9337(9) 0.1521(7) 0.030(1) ?
O4 O 2 1 0.729(1) 0.6008(9) 0.1276(8) 0.032(1) ?
O5a O 2 0.5 0.908(2) 0.410(1) 0.303(1) 0.011(1) ?
O5b O 2 0.5 0.886(2) 0.411(1) 0.381(1) 0.011(1) ?
O6a O 2 0.5 0.772(2) 0.298(1) -0.033(1) 0.022(1) ?
O6b O 2 0.5 0.794(2) 0.242(1) 0.055(1) 0.020(1) ?
O7 O 2 1 0.5630(9) 0.6017(6) 0.722(1) 0.027(1) ?

BaNi_MOD

Chemical data


Structural Formula Sum: Ba1 Ni1 O7 P2 [ Help ]

Formula weight: 370 Da [ Help ]

Crystallographic data and experimental details


a: 5.317(2) Å [ Help ]

b: 7.580(4) Å [ Help ]

c: 7.116(2) Å [ Help ]

α: 101.26(2) ° [ Help ]

β: 84.48(3) ° [ Help ]

γ: 89.49(3) ° [ Help ]

Volume: 279.9(2) Å3 [ Help ]

Z: 2 [ Help ]

μ: 10.911 mm-1 [ Help ]

Cell measurement temperature: 294 K [ Help ]

Crystal system: triclinic [ Help ]

Superspace group name (WJJ): P:P -1:-1 [ Help ]

Superspace group name: P-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

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

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 -0.128(2) 0.047(10) 0.457(7)

Refinement details


Refinement remarks: Average structure refined with a splitted model. The incommensurate model includes atomic phason Overhauser factors. WARNING: The published thermal displacement parameters have been converted to U,s. The calculated standard uncertainties (s.u.) have been based uniquely on the published ones without considering the s.u. of any other quantity involved in such conversion. An average structure has been derived from the split model Ba 0.2068(1) 0.07043(7) 0.22595(7) Ni 0.1860(3) 0.6032(2) 0.3693(2) P1 0.7054(6) 0.4079(4) 0.1903(4) O5 0.897(2) 0.411(1) 0.342(1) O6 0.783(2) 0.270(1) 0.011(1) [ Help ]

Modulation functions description: Displacive modulation:Fourier series. Up to 2nd-order harmonics. Modulation of temperature factors:Fourier series. Up to 2nd-order harmonics. [ Help ]

Structure factors calc. details: Gaussian integration [ Help ]

Nb. of observed reflections: 14282 [ Help ]

Structural Information


Average Structure: [ Help ]

Atom site label Atom symbol Symmetry multiplicity Occupancy x y z Uiso/equiv ADP type
Ba Ba 2 1 0.2069(1) 0.07043(7) 0.22595(7) ? Uani
Ni Ni 2 1 0.1860(3) 0.6027(2) 0.3703(2) ? Uani
P1 P 2 1 0.7058(7) 0.4073(5) 0.1905(5) ? Uani
P2 P 2 1 0.6977(5) 0.7901(4) 0.2735(3) ? Uani
O1 O 2 1 0.9227(13) 0.8023(8) 0.3932(9) ? Uani
O2 O 2 1 0.4452(14) 0.7951(11) 0.3953(10) ? Uani
O3 O 2 1 0.7102(14) 0.9330(10) 0.1526(10) ? Uani
O4 O 2 1 0.7296(14) 0.5995(12) 0.1284(11) ? Uani
O5 O 2 1 0.8957(24) 0.4114(13) 0.3421(14) ? Uani
O6 O 2 1 0.7792(25) 0.2703(13) 0.0119(15) ? Uani
O7 O 2 1 0.5640(13) 0.6023(9) 0.7219(14) ? Uani

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 -0.128 0.047 0.457
2 -0.256 0.094 0.914

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

Modulation code Atom site label Displacement axis Wave vector code
Bax1 Ba x 1
Bax2 Ba x 2
Bay1 Ba y 1
Bay2 Ba y 2
Baz1 Ba z 1
Baz2 Ba z 2
Nix1 Ni x 1
Nix2 Ni x 2
Niy1 Ni y 1
Niy2 Ni y 2
Niz1 Ni z 1
Niz2 Ni z 2
P1x1 P1 x 1
P1x2 P1 x 2
P1y1 P1 y 1
P1y2 P1 y 2
P1z1 P1 z 1
P1z2 P1 z 2
P2x1 P2 x 1
P2x2 P2 x 2
P2y1 P2 y 1
P2y2 P2 y 2
P2z1 P2 z 1
P2z2 P2 z 2
O1x1 O1 x 1
O1x2 O1 x 2
O1y1 O1 y 1
O1y2 O1 y 2
O1z1 O1 z 1
O1z2 O1 z 2
O2x1 O2 x 1
O2x2 O2 x 2
O2y1 O2 y 1
O2y2 O2 y 2
O2z1 O2 z 1
O2z2 O2 z 2
O3x1 O3 x 1
O3x2 O3 x 2
O3y1 O3 y 1
O3y2 O3 y 2
O3z1 O3 z 1
O3z2 O3 z 2
O4x1 O4 x 1
O4x2 O4 x 2
O4y1 O4 y 1
O4y2 O4 y 2
O4z1 O4 z 1
O4z2 O4 z 2
O5x1 O5 x 1
O5x2 O5 x 2
O5y1 O5 y 1
O5y2 O5 y 2
O5z1 O5 z 1
O5z2 O5 z 2
O6x1 O6 x 1
O6x2 O6 x 2
O6y1 O6 y 1
O6y2 O6 y 2
O6z1 O6 z 1
O6z2 O6 z 2
O7x1 O7 x 1
O7x2 O7 x 2
O7y1 O7 y 1
O7y2 O7 y 2
O7z1 O7 z 1
O7z2 O7 z 2

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Bax1 0.0315(0) -0.0193(0)
Bax2 0.0027(0) 0.0003(0)
Bay1 0.0087(0) 0.0090(0)
Bay2 0.0003(0) 0.0012(0)
Baz1 0.0041(0) 0.0012(0)
Baz2 0.0021(0) -0.0003(0)
Nix1 0.0171(1) 0.0031(1)
Nix2 0.0013(1) 0.0014(1)
Niy1 0.0080(0) 0.0158(0)
Niy2 -0.0011(1) 0.0011(1)
Niz1 -0.0178(1) -0.0477(1)
Niz2 0.0014(1) -0.0017(1)
P1x1 0.0027(2) -0.0004(2)
P1y1 0.0182(1) 0.0091(1)
P1y2 0.0015(2) 0.0018(2)
P1z1 -0.0308(2) -0.0232(2)
P1z2 0.0010(2) 0.0005(2)
P2x1 0.0232(2) -0.0155(2)
P2x2 0.0008(2) 0.0001(2)
P2y1 0.0160(1) 0.0205(1)
P2y2 0.0000(1) 0.0017(1)
P2z1 -0.0019(1) -0.0034(1)
P2z2 0.0008(2) 0.0010(2)
O1x1 0.0208(6) -0.0119(5)
O1x2 -0.0001(7) 0.0017(7)
O1y1 0.0086(4) 0.0151(4)
O1y2 -0.0008(5) 0.0013(5)
O1z1 0.0013(4) -0.0043(4)
O1z2 0.0017(6) 0.0012(6)
O2x1 0.0263(6) -0.0052(6)
O2x2 -0.0010(7) 0.0014(7)
O2y1 0.0044(4) 0.0241(4)
O2y2 -0.0017(6) 0.0000(6)
O2z1 -0.0003(5) -0.0112(5)
O2z2 -0.0025(7) 0.0006(7)
O3x1 0.0268(6) -0.0189(7)
O3x2 -0.0009(8) -0.0004(8)
O3y1 0.0279(4) 0.0166(4)
O3y2 0.0000(6) -0.0004(5)
O3z1 0.0021(5) -0.0003(5)
O3z2 0.0010(7) -0.0019(7)
O4x1 0.0115(6) -0.0274(6)
O4x2 0.0020(8) -0.0013(8)
O4y1 0.0299(4) 0.0128(4)
O4y2 0.0009(5) 0.0005(5)
O4z1 -0.0125(4) -0.0069(5)
O4z2 0.0022(6) 0.0006(6)
O5x1 0.0199(6) 0.0085(6)
O5x2 0.0035(8) 0.0019(8)
O5y1 0.0011(4) -0.0010(4)
O5y2 -0.0006(6) 0.0009(6)
O5z1 -0.0264(6) -0.0494(5)
O5z2 -0.0003(6) 0.0007(6)
O6x1 -0.0123(7) -0.0254(8)
O6x2 0.0013(9) -0.0029(6)
O6y1 0.0402(4) -0.0018(6)
O6y2 0.0045(6) -0.0010(6)
O6z1 -0.0609(5) -0.0029(8)
O6z2 0.0019(7) -0.0002(7)
O7x1 -0.0203(5) 0.0029(5)
O7x2 -0.0026(7) 0.0020(7)
O7y1 -0.0115(4) 0.0094(4)
O7y2 0.0001(6) 0.0005(6)
O7z1 0.0191(5) -0.0242(5)
O7z2 -0.0009(7) 0.0030(7)

ADP components: [ Help ]

Atom site label Atom site symbol U11 U22 U33 U12 U13 U23
Ba Ba 0.012051 0.006434 0.009283 0 0.002047 0.001046
Ni Ni 0.007231 0.005315 0.0137(2) -0.000398 0.002978 0.001569
P1 P 0.00751(14) 0.004476 0.0129(2) -0.000398 0.00242(19) -0.0010(3)
P2 P 0.00822(14) 0.005315 0.0095(2) -0.000199 0.00186(19) 0.001307
O1 O 0.0104(7) 0.0078(6) 0.0112(7) 0.0010(4) 0.0002(6) 0.0010(5)
O2 O 0.0092(7) 0.0084(6) 0.0151(7) -0.0010(4) 0.0039(6) 0.0008(5)
O3 O 0.0150(9) 0.0076(6) 0.0125(7) -0.0008(6) 0.0017(6) 0.0050(5)
O4 O 0.0147(7) 0.0048(6) 0.0093(7) -0.0004(4) 0.0013(6) 0.0013(5)
O5 O 0.0096(7) 0.0098(6) 0.0071(10) -0.0004(4) 0.0013(6) 0.0029(5)
O6 O 0.0160(9) 0.0042(6) 0.0078(10) 0.0026(6) 0.0002(7) 0.0005(5)
O7 O 0.0071(6) 0.0076(6) 0.0164(10) 0.0004(4) 0.0033(6) 0.0031(5)

Phason model: [ Help ]

Atom site label Phason formula Phason coefficient
Ba Ovr 0.0105(11)
Ni Ovr 0.0726(16)
P1 Ovr 0.0529(31)
P2 Ovr 0.0158(35)
O1 Ovr 0.0147(139)
O2 Ovr 0.0177(106)
O3 Ovr 0.0253(94)
O4 Ovr 0.0395(88)
O5 Ovr 0.0819(82)
O6 Ovr 0.0561(109)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
BaU111 Ba U11 1
BaU112 Ba U11 2
BaU221 Ba U22 1
BaU222 Ba U22 2
BaU331 Ba U33 1
BaU332 Ba U33 2
BaU231 Ba U23 1
BaU232 Ba U23 2
BaU131 Ba U13 1
BaU132 Ba U13 2
BaU121 Ba U12 1
BaU122 Ba U12 2
NiU111 Ni U11 1
NiU112 Ni U11 2
NiU221 Ni U22 1
NiU222 Ni U22 2
NiU331 Ni U33 1
NiU332 Ni U33 2
NiU231 Ni U23 1
NiU232 Ni U23 2
NiU131 Ni U13 1
NiU132 Ni U13 2
NiU121 Ni U12 1
NiU122 Ni U12 2
P1U111 P1 U11 1
P1U112 P1 U11 2
P1U221 P1 U22 1
P1U222 P1 U22 2
P1U331 P1 U33 1
P1U332 P1 U33 2
P1U231 P1 U23 1
P1U232 P1 U23 2
P1U131 P1 U13 1
P1U132 P1 U13 2
P1U121 P1 U12 1
P1U122 P1 U12 2
P2U111 P2 U11 1
P2U112 P2 U11 2
P2U221 P2 U22 1
P2U222 P2 U22 2
P2U331 P2 U33 1
P2U332 P2 U33 2
P2U231 P2 U23 1
P2U232 P2 U23 2
P2U131 P2 U13 1
P2U132 P2 U13 2
P2U121 P2 U12 1
P2U122 P2 U12 2

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
BaU111 -0.0007(0) -0.0010(0)
BaU112 -0.0006(0) -0.0033(0)
BaU221 0.0002(0) 0.0003(0)
BaU222 0.0000(0) 0.0002(0)
BaU331 0.0000(0) -0.0004(0)
BaU332 0.0001(0) -0.0002(0)
BaU231 0.0003(0) 0.0004(0)
BaU232 0.0001(0) 0.0003(0)
BaU131 -0.0001(0) -0.0003(0)
BaU132 0.0000(0) -0.0005(0)
BaU121 0.0002(0) 0.0007(0)
BaU122 -0.0004(0) 0.0005(0)
NiU111 -0.0004(1) -0.0003(1)
NiU112 0.0004(1) 0.0001(1)
NiU221 -0.0002(0) 0.0000(0)
NiU222 0.0006(0) -0.0008(0)
NiU331 -0.0013(1) 0.0004(1)
NiU332 0.0027(1) -0.0045(1)
NiU231 0.0009(0) -0.0004(0)
NiU232 0.0000(0) 0.0004(0)
NiU131 -0.0017(0) 0.0006(0)
NiU132 -0.0010(1) -0.0009(1)
NiU121 0.0006(0) 0.0001(0)
NiU122 0.0000(0) 0.0004(0)
P1U111 -0.0008(2) -0.0008(2)
P1U112 -0.0011(3) -0.0012(3)
P1U221 0.0001(1) 0.0003(1)
P1U222 -0.0002(1) -0.0007(1)
P1U331 -0.0016(2) 0.0010(2)
P1U332 0.0000(2) -0.0049(2)
P1U231 0.0006(1) -0.0005(1)
P1U232 -0.0001(1) 0.0013(1)
P1U131 -0.0012(1) 0.0017(2)
P1U132 -0.0006(2) -0.0005(2)
P1U121 0.0007(1) -0.0005(1)
P1U122 -0.0001(1) 0.0002(1)
P2U111 -0.0005(2) -0.0008(2)
P2U112 -0.0002(3) -0.0019(3)
P2U221 0.0001(1) 0.0003(1)
P2U222 0.0001(1) -0.0010(1)
P2U331 -0.0008(1) -0.0002(1)
P2U332 0.0005(2) -0.0006(2)
P2U231 0.0004(1) -0.0002(1)
P2U232 -0.0002(1) 0.0005(1)
P2U131 -0.0008(1) 0.0003(1)
P2U132 0.0003(2) -0.0002(2)
P2U121 0.0006(1) 0.0000(1)
P2U122 -0.0002(1) 0.0003(1)