Superspace-symmetry determination and multidimensional refinement of the incommensurately modulated structure of natural fresnoite

Authors:

Bindi, Luca; Dusek, Michal; Petricek, Vaclav; Bonazzia, Paola

Journal:

Acta Crystallographica, Section B 62 1031-1037 (2006)

DOI:

https://doi.org/10.1107/S0108768106030059

B-IncStrDB ID: mgXl3Jl6cEH Entry date: 2022-01-27 Last revision: 2022-01-27

I

Chemical data


Structural Formula Sum: Ba2 O8 Si2 Ti1 [ Help ]

Formula weight: 506.7 Da [ Help ]

Crystallographic data and experimental details


Crystal system: tetragonal [ Help ]

Space group name (H-M): X4bm [ Help ]

Superspace group name: X4bm(αα0)(-αα0)0gg [ Help ]

Symmetry operations of the superspace group: [ Help ]

Operation code Operation in algebraic form
1 x1,x2,x3,x4,x5
2 -x2,x1,x3,-x5,x4
3 1/2-x1,1/2+x2,x3,1/2+x5,1/2+x4
4 -x1,-x2,x3,-x4,-x5
5 1/2-x2,1/2-x1,x3,1/2-x4,1/2+x5
6 x2,-x1,x3,x5,-x4
7 1/2+x1,1/2-x2,x3,1/2-x5,1/2-x4
8 1/2+x2,1/2+x1,x3,1/2+x4,1/2-x5
9 x1,x2,1/2+x3,1/2+x4,1/2+x5
10 -x2,x1,1/2+x3,1/2-x5,1/2+x4
11 1/2-x1,1/2+x2,1/2+x3,x5,x4
12 -x1,-x2,1/2+x3,1/2-x4,1/2-x5
13 1/2-x2,1/2-x1,1/2+x3,-x4,x5
14 x2,-x1,1/2+x3,1/2+x5,1/2-x4
15 1/2+x1,1/2-x2,1/2+x3,-x5,-x4
16 1/2+x2,1/2+x1,1/2+x3,x4,-x5

a: 8.5353 Å [ Help ]

b: 8.5353 Å [ Help ]

c: 10.4128 Å [ Help ]

α: 90 ° [ Help ]

β: 90 ° [ Help ]

γ: 90 ° [ Help ]

Volume: 758.5865 Å3 [ Help ]

Z: 4 [ Help ]

Cell determination reflection Nb.: 20966 [ Help ]

θ(min) for cell determination: 3.16 ° [ Help ]

θ(max) for cell determination: 36.15 ° [ Help ]

Cell measurement temperature: 110 K [ Help ]

Modulation dimension: 2 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.3020(3) 0.3020(3) 0.00000
2 -0.3020(3) 0.3020(3) 0.00000

μ: 11.67 mm-1 [ Help ]

Absorption correction type: gaussian [ Help ]

Absorption correction remarks: (Jana2000; Petricek, Dusek & Palatinus, 2000) [ Help ]

Minimum transmission factor: 0.314 [ Help ]

Maximum transmission factor: 0.520 [ Help ]

Refinement details


Total nb. of reflections: 3452 [ Help ]

Nb. of observed reflections: 2554 [ Help ]

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

Refinement based on: F [ Help ]

R(all): 0.0173 [ Help ]

R(obs): 0.0123 [ Help ]

wR(obs): 0.0173 [ Help ]

wR(all): 0.0179 [ Help ]

S(all): 0.94 [ Help ]

Nb. of reflections: 3452 [ Help ]

Nb. of parameters: 259 [ Help ]

Weighting scheme: sigma [ Help ]

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

Δ/σ(max): 0.0276 [ Help ]

Δ/σ(mean): 0.0030 [ Help ]

Δρ(max): 0.27 e_Å-3 [ Help ]

Δρ(min): -0.32 e_Å-3 [ Help ]

Extinction method: none [ Help ]

Absolute structure remarks: The absolute configuration was determined by the refinement of the twin fraction (Flack, 1983) of two domains related by the inversion center in the refinement program Jana2000 (Petricek and Dusek, 2000). [ Help ]

Flack parameter: 0.932(9) [ 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
Ba Ba1 0.327017(7) -0.827017(7) 0 0.00593(3) Uani d . 1 . .
Ti Ti1 0 0 0.26787(5) 0.00429(13) Uani d . 1 . .
Si Si1 0.12809(4) -0.62809(4) 0.25638(7) 0.00478(9) Uani d . 1 . .
O O1 0 -0.5 0.3150(2) 0.0108(4) Uani d . 1 . .
O O2 0.12591(12) -0.62591(12) 0.10297(15) 0.0063(3) Uani d . 1 . .
O O3 0.29256(12) -0.57809(10) 0.32144(11) 0.0109(2) Uani d . 1 . .
O O4 0 0 0.1049(2) 0.0100(4) Uani d . 1 . .

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
Ba1 0.00617(5) 0.00617(5) 0.00544(7) 0.00286(3) -0.00014(4) 0.00014(4) Ba
Ti1 0.00301(13) 0.00301(13) 0.0068(3) 0 0 0 Ti
Si1 0.00484(12) 0.00484(12) 0.0047(2) -0.00072(18) 0.00021(17) -0.00021(17) Si
O1 0.0112(5) 0.0112(5) 0.0099(9) 0.0053(6) 0 0 O
O2 0.0064(4) 0.0064(4) 0.0061(7) -0.0001(5) 0.0008(4) -0.0008(4) O
O3 0.0073(4) 0.0139(4) 0.0115(5) -0.0040(3) -0.0012(4) 0.0034(3) O
O4 0.0085(6) 0.0085(6) 0.0129(10) 0 0 0 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 0.3020 0.3020 0.00000
2 -0.3020 0.3020 0.00000
3 0.0000 0.6040 0.00000
4 -0.6040 0.0000 0.00000

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

Modulation code Atom site label Displacement axis Wave vector code
Ba1x1 Ba1 x 1
Ba1y1 Ba1 y 1
Ba1z1 Ba1 z 1
Ba1x2 Ba1 x 2
Ba1y2 Ba1 y 2
Ba1z2 Ba1 z 2
Ba1x3 Ba1 x 3
Ba1y3 Ba1 y 3
Ba1z3 Ba1 z 3
Ba1x4 Ba1 x 4
Ba1y4 Ba1 y 4
Ba1z4 Ba1 z 4
Ti1x1 Ti1 x 1
Ti1y1 Ti1 y 1
Ti1z1 Ti1 z 1
Ti1x2 Ti1 x 2
Ti1y2 Ti1 y 2
Ti1z2 Ti1 z 2
Ti1x3 Ti1 x 3
Ti1y3 Ti1 y 3
Ti1z3 Ti1 z 3
Ti1x4 Ti1 x 4
Ti1y4 Ti1 y 4
Ti1z4 Ti1 z 4
Si1x1 Si1 x 1
Si1y1 Si1 y 1
Si1z1 Si1 z 1
Si1x2 Si1 x 2
Si1y2 Si1 y 2
Si1z2 Si1 z 2
Si1x3 Si1 x 3
Si1y3 Si1 y 3
Si1z3 Si1 z 3
Si1x4 Si1 x 4
Si1y4 Si1 y 4
Si1z4 Si1 z 4
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
O1x4 O1 x 4
O1y4 O1 y 4
O1z4 O1 z 4
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
O2x4 O2 x 4
O2y4 O2 y 4
O2z4 O2 z 4
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
O3x4 O3 x 4
O3y4 O3 y 4
O3z4 O3 z 4
O4x1 O4 x 1
O4y1 O4 y 1
O4z1 O4 z 1
O4x2 O4 x 2
O4y2 O4 y 2
O4z2 O4 z 2
O4x3 O4 x 3
O4y3 O4 y 3
O4z3 O4 z 3
O4x4 O4 x 4
O4y4 O4 y 4
O4z4 O4 z 4

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Ba1x1 0.004593(7) -0.002181(6)
Ba1y1 0.004593(7) 0.002181(6)
Ba1z1 0 0.004687(8)
Ba1x2 0.003944(7) 0.002150(6)
Ba1y2 0.003944(7) 0.002150(6)
Ba1z2 0 0
Ba1x3 -0.001342(8) 0.002055(7)
Ba1y3 -0.000531(10) 0.001679(8)
Ba1z3 0.000348(16) -0.000221(15)
Ba1x4 0.000531(10) -0.001679(8)
Ba1y4 0.001342(8) -0.002055(7)
Ba1z4 0.000348(16) -0.000221(15)
Ti1x1 0 0.00503(3)
Ti1y1 0 0.00622(3)
Ti1z1 0.00236(3) 0
Ti1x2 0 -0.00622(3)
Ti1y2 0 0.00503(3)
Ti1z2 0.00236(3) 0
Ti1x3 0 0.00013(3)
Ti1y3 0 0.00022(4)
Ti1z3 -0.00172(6) 0
Ti1x4 0 -0.00022(4)
Ti1y4 0 0.00013(3)
Ti1z4 -0.00172(6) 0
Si1x1 -0.00481(4) -0.00718(3)
Si1y1 -0.00481(4) 0.00718(3)
Si1z1 0 0.00148(4)
Si1x2 -0.00070(3) 0.00235(3)
Si1y2 -0.00070(3) 0.00235(3)
Si1z2 0 0
Si1x3 -0.00017(4) 0.00017(4)
Si1y3 -0.00041(4) -0.00043(4)
Si1z3 -0.00095(8) -0.00090(7)
Si1x4 0.00041(4) 0.00043(4)
Si1y4 0.00017(4) -0.00017(4)
Si1z4 -0.00095(8) -0.00090(7)
O1x1 0 -0.00807(11)
O1y1 0 0.00807(11)
O1z1 0 0
O1x2 0 0.01867(14)
O1y2 0 0.01867(14)
O1z2 0 0
O1x3 0 -0.00020(17)
O1y3 0 -0.00307(18)
O1z3 0.00008(16) 0
O1x4 0 0.00307(18)
O1y4 0 0.00020(17)
O1z4 0.00008(16) 0
O2x1 -0.00530(7) -0.00416(7)
O2y1 -0.00530(7) 0.00416(7)
O2z1 0 0.00150(8)
O2x2 -0.00276(7) 0.00077(7)
O2y2 -0.00276(7) 0.00077(7)
O2z2 0 0
O2x3 -0.00163(12) -0.00031(10)
O2y3 0.00030(11) 0.00169(12)
O2z3 -0.00098(11) -0.00094(10)
O2x4 -0.00030(11) -0.00169(12)
O2y4 0.00163(12) 0.00031(10)
O2z4 -0.00098(11) -0.00094(10)
O3x1 0.00197(8) -0.00824(8)
O3y1 -0.01675(9) 0.00324(8)
O3z1 -0.00271(6) 0.00166(6)
O3x2 0.00557(7) 0.00717(8)
O3y2 -0.01522(8) -0.01165(9)
O3z2 -0.00296(6) -0.00103(6)
O3x3 0.00084(13) -0.00061(11)
O3y3 -0.00237(13) 0.00047(11)
O3z3 -0.00255(11) -0.00128(11)
O3x4 0.00156(11) 0.00101(14)
O3y4 -0.00169(12) -0.00184(13)
O3z4 -0.00237(12) -0.00196(11)
O4x1 0 0.00645(11)
O4y1 0 0.00845(12)
O4z1 0.00272(9) 0
O4x2 0 -0.00845(12)
O4y2 0 0.00645(11)
O4z2 0.00272(9) 0
O4x3 0 -0.00198(16)
O4y3 0 0.00097(17)
O4z3 -0.00165(16) 0
O4x4 0 -0.00097(17)
O4y4 0 -0.00198(16)
O4z4 -0.00165(16) 0

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
Ba1U111 Ba1 U11 1
Ba1U221 Ba1 U22 1
Ba1U331 Ba1 U33 1
Ba1U121 Ba1 U12 1
Ba1U131 Ba1 U13 1
Ba1U231 Ba1 U23 1
Ba1U112 Ba1 U11 2
Ba1U222 Ba1 U22 2
Ba1U332 Ba1 U33 2
Ba1U122 Ba1 U12 2
Ba1U132 Ba1 U13 2
Ba1U232 Ba1 U23 2
Ba1U113 Ba1 U11 3
Ba1U223 Ba1 U22 3
Ba1U333 Ba1 U33 3
Ba1U123 Ba1 U12 3
Ba1U133 Ba1 U13 3
Ba1U233 Ba1 U23 3
Ba1U114 Ba1 U11 4
Ba1U224 Ba1 U22 4
Ba1U334 Ba1 U33 4
Ba1U124 Ba1 U12 4
Ba1U134 Ba1 U13 4
Ba1U234 Ba1 U23 4
Ti1U111 Ti1 U11 1
Ti1U221 Ti1 U22 1
Ti1U331 Ti1 U33 1
Ti1U121 Ti1 U12 1
Ti1U131 Ti1 U13 1
Ti1U231 Ti1 U23 1
Ti1U112 Ti1 U11 2
Ti1U222 Ti1 U22 2
Ti1U332 Ti1 U33 2
Ti1U122 Ti1 U12 2
Ti1U132 Ti1 U13 2
Ti1U232 Ti1 U23 2
Ti1U113 Ti1 U11 3
Ti1U223 Ti1 U22 3
Ti1U333 Ti1 U33 3
Ti1U123 Ti1 U12 3
Ti1U133 Ti1 U13 3
Ti1U233 Ti1 U23 3
Ti1U114 Ti1 U11 4
Ti1U224 Ti1 U22 4
Ti1U334 Ti1 U33 4
Ti1U124 Ti1 U12 4
Ti1U134 Ti1 U13 4
Ti1U234 Ti1 U23 4
Si1U111 Si1 U11 1
Si1U221 Si1 U22 1
Si1U331 Si1 U33 1
Si1U121 Si1 U12 1
Si1U131 Si1 U13 1
Si1U231 Si1 U23 1
Si1U112 Si1 U11 2
Si1U222 Si1 U22 2
Si1U332 Si1 U33 2
Si1U122 Si1 U12 2
Si1U132 Si1 U13 2
Si1U232 Si1 U23 2
Si1U113 Si1 U11 3
Si1U223 Si1 U22 3
Si1U333 Si1 U33 3
Si1U123 Si1 U12 3
Si1U133 Si1 U13 3
Si1U233 Si1 U23 3
Si1U114 Si1 U11 4
Si1U224 Si1 U22 4
Si1U334 Si1 U33 4
Si1U124 Si1 U12 4
Si1U134 Si1 U13 4
Si1U234 Si1 U23 4
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
O1U114 O1 U11 4
O1U224 O1 U22 4
O1U334 O1 U33 4
O1U124 O1 U12 4
O1U134 O1 U13 4
O1U234 O1 U23 4
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
O2U114 O2 U11 4
O2U224 O2 U22 4
O2U334 O2 U33 4
O2U124 O2 U12 4
O2U134 O2 U13 4
O2U234 O2 U23 4
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
O3U114 O3 U11 4
O3U224 O3 U22 4
O3U334 O3 U33 4
O3U124 O3 U12 4
O3U134 O3 U13 4
O3U234 O3 U23 4
O4U111 O4 U11 1
O4U221 O4 U22 1
O4U331 O4 U33 1
O4U121 O4 U12 1
O4U131 O4 U13 1
O4U231 O4 U23 1
O4U112 O4 U11 2
O4U222 O4 U22 2
O4U332 O4 U33 2
O4U122 O4 U12 2
O4U132 O4 U13 2
O4U232 O4 U23 2
O4U113 O4 U11 3
O4U223 O4 U22 3
O4U333 O4 U33 3
O4U123 O4 U12 3
O4U133 O4 U13 3
O4U233 O4 U23 3
O4U114 O4 U11 4
O4U224 O4 U22 4
O4U334 O4 U33 4
O4U124 O4 U12 4
O4U134 O4 U13 4
O4U234 O4 U23 4

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Ba1U111 -0.00032(3) 0.00180(2)
Ba1U221 0.00032(3) 0.00180(2)
Ba1U331 0 0.0011(2)
Ba1U121 0 0.00180(3)
Ba1U131 0.00039(10) -0.00025(5)
Ba1U231 0.00039(10) 0.00025(5)
Ba1U112 -0.00068(3) 0.00006(3)
Ba1U222 0.00068(3) -0.00006(3)
Ba1U332 0 0
Ba1U122 0 0
Ba1U132 0.00090(9) 0.00000(5)
Ba1U232 0.00090(9) 0.00000(5)
Ba1U113 0.00013(4) -0.00039(4)
Ba1U223 0.00012(3) 0.00019(4)
Ba1U333 -0.00002(6) -0.00006(6)
Ba1U123 0.00008(3) -0.00008(3)
Ba1U133 -0.00024(8) 0.00044(9)
Ba1U233 -0.00011(6) 0.00046(8)
Ba1U114 0.00012(3) 0.00019(4)
Ba1U224 0.00013(4) -0.00039(4)
Ba1U334 -0.00002(6) -0.00006(6)
Ba1U124 0.00008(3) -0.00008(3)
Ba1U134 0.00011(6) -0.00046(8)
Ba1U234 0.00024(8) -0.00044(9)
Ti1U111 0.00033(13) 0
Ti1U221 -0.00005(14) 0
Ti1U331 -0.00042(19) 0
Ti1U121 -0.00012(10) 0
Ti1U131 0 0.00057(14)
Ti1U231 0 0.00060(16)
Ti1U112 -0.00005(14) 0
Ti1U222 0.00033(13) 0
Ti1U332 -0.00042(19) 0
Ti1U122 0.00012(10) 0
Ti1U132 0 -0.00060(16)
Ti1U232 0 0.00057(14)
Ti1U113 0.00052(13) 0
Ti1U223 -0.00017(15) 0
Ti1U333 -0.0002(3) 0
Ti1U123 0.00005(12) 0
Ti1U133 0 0.0005(2)
Ti1U233 0 -0.0001(2)
Ti1U114 -0.00017(15) 0
Ti1U224 0.00052(13) 0
Ti1U334 -0.0002(3) 0
Ti1U124 -0.00005(12) 0
Ti1U134 0 0.0001(2)
Ti1U234 0 0.0005(2)
Si1U111 0.00057(17) 0.00020(14)
Si1U221 -0.00057(17) 0.00020(14)
Si1U331 0 0.00068(17)
Si1U121 0 0.00030(18)
Si1U131 -0.00010(14) -0.00077(18)
Si1U231 -0.00010(14) 0.00077(18)
Si1U112 -0.00015(17) -0.00013(17)
Si1U222 0.00015(17) 0.00013(17)
Si1U332 0 0
Si1U122 0 0
Si1U132 0.00005(10) 0.00035(11)
Si1U232 0.00005(10) 0.00035(11)
Si1U113 0.00033(15) -0.00019(13)
Si1U223 -0.00043(17) 0.00018(17)
Si1U333 0.0000(2) 0.0001(2)
Si1U123 0.00018(13) -0.00008(14)
Si1U133 -0.0001(3) -0.0001(3)
Si1U233 -0.0002(3) -0.0005(3)
Si1U114 -0.00043(17) 0.00018(17)
Si1U224 0.00033(15) -0.00019(13)
Si1U334 0.0000(2) 0.0001(2)
Si1U124 0.00018(13) -0.00008(14)
Si1U134 0.0002(3) 0.0005(3)
Si1U234 0.0001(3) 0.0001(3)
O1U111 0.0019(6) 0
O1U221 -0.0019(6) 0
O1U331 0 0
O1U121 0 0
O1U131 0 -0.0003(4)
O1U231 0 0.0003(4)
O1U112 0.0022(6) 0
O1U222 -0.0022(6) 0
O1U332 0 0
O1U122 0 0
O1U132 0 -0.0025(7)
O1U232 0 -0.0025(7)
O1U113 0.0004(7) 0
O1U223 -0.0009(8) 0
O1U333 0.0011(10) 0
O1U123 -0.0012(7) 0
O1U133 0 -0.0003(6)
O1U233 0 -0.0001(7)
O1U114 -0.0009(8) 0
O1U224 0.0004(7) 0
O1U334 0.0011(10) 0
O1U124 -0.0012(7) 0
O1U134 0 0.0001(7)
O1U234 0 0.0003(6)
O2U111 -0.0004(4) -0.0003(3)
O2U221 0.0004(4) -0.0003(3)
O2U331 0 0.0008(4)
O2U121 0 0.0003(3)
O2U131 0.0000(3) -0.0009(2)
O2U231 0.0000(3) 0.0009(2)
O2U112 0.0004(4) 0.0002(4)
O2U222 -0.0004(4) -0.0002(4)
O2U332 0 0
O2U122 0 0
O2U132 0.0000(3) 0.0007(2)
O2U232 0.0000(3) 0.0007(2)
O2U113 0.0005(5) -0.0006(4)
O2U223 -0.0017(5) 0.0007(5)
O2U333 0.0008(7) 0.0004(6)
O2U123 0.0004(4) -0.0004(4)
O2U133 -0.0006(5) 0.0003(4)
O2U233 0.0002(4) -0.0003(5)
O2U114 -0.0017(5) 0.0007(5)
O2U224 0.0005(5) -0.0006(4)
O2U334 0.0008(7) 0.0004(6)
O2U124 0.0004(4) -0.0004(4)
O2U134 -0.0002(4) 0.0003(5)
O2U234 0.0006(5) -0.0003(4)
O3U111 0.0010(3) -0.0003(4)
O3U221 0.0022(5) -0.0013(4)
O3U331 0.0017(4) 0.0005(4)
O3U121 -0.0016(3) 0.0009(3)
O3U131 -0.0012(3) 0.0000(3)
O3U231 0.0030(5) 0.0002(3)
O3U112 0.0000(4) -0.0006(4)
O3U222 0.0034(5) 0.0003(4)
O3U332 0.0025(4) 0.0007(4)
O3U122 -0.0016(3) 0.0009(3)
O3U132 -0.0017(3) 0.0002(3)
O3U232 0.0047(5) 0.0013(4)
O3U113 0.0005(4) -0.0008(5)
O3U223 0.0024(6) 0.0023(6)
O3U333 0.0016(7) -0.0002(7)
O3U123 -0.0001(5) -0.0001(5)
O3U133 -0.0008(5) -0.0004(4)
O3U233 -0.0001(5) 0.0007(4)
O3U114 0.0000(6) -0.0004(5)
O3U224 0.0011(6) 0.0021(5)
O3U334 0.0024(7) 0.0004(7)
O3U124 0.0006(4) -0.0009(5)
O3U134 -0.0003(5) 0.0006(5)
O3U234 0.0008(4) -0.0006(5)
O4U111 0.0016(5) 0
O4U221 0.0013(5) 0
O4U331 -0.0001(5) 0
O4U121 -0.0001(4) 0
O4U131 0 0.0014(4)
O4U231 0 0.0025(4)
O4U112 0.0013(5) 0
O4U222 0.0016(5) 0
O4U332 -0.0001(5) 0
O4U122 0.0001(4) 0
O4U132 0 -0.0025(4)
O4U232 0 0.0014(4)
O4U113 0.0011(7) 0
O4U223 -0.0007(8) 0
O4U333 0.0008(10) 0
O4U123 -0.0002(6) 0
O4U133 0 -0.0007(7)
O4U233 0 0.0001(7)
O4U114 -0.0007(8) 0
O4U224 0.0011(7) 0
O4U334 0.0008(10) 0
O4U124 0.0002(6) 0
O4U134 0 -0.0001(7)
O4U234 0 -0.0007(7)