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Incommensurate density modulation in a Na-rich plagioclase feldspar: Z-contrast imaging and single-crystal X-ray diffraction study

Authors:

Xu, Huifang; Jin, Shiyun; Noll, Bruce C.

Journal:

Acta Crystallographica, Section B 72 904-915 (2016)

DOI:

https://doi.org/10.1107/S205252061601578X

B-IncStrDB ID: 12652EIb3rf Entry date: 2016-12-05 Last revision: 2024-01-02

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Chemical data

Common Name: andesine [ Help ]

Formula analytical: An44Ab52Or4 [ Help ]

Structural Formula Sum: Ca0.49 Na0.51 Si2.56 Al1.44 O8 [ Help ]

Formula weight: 270.1 Da [ Help ]

Compound Source: Chengde, Hebei, China [ Help ]

Crystallographic data and experimental details

Crystal system: triclinic [ Help ]

Superspace group name: X-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+1/2
4 -x1+1/2,-x2+1/2,-x3,-x4+1/2
5 x1,x2,x3+1/2,x4+1/2
6 -x1,-x2,-x3+1/2,-x4+1/2
7 x1+1/2,x2+1/2,x3+1/2,x4
8 -x1+1/2,-x2+1/2,-x3+1/2,-x4

a: 8.1661(3) Å [ Help ]

b: 12.8545(2) Å [ Help ]

c: 14.2350(4) Å [ Help ]

α: 93.5777(8) ° [ Help ]

β: 116.3090(7) ° [ Help ]

γ: 89.593(3) ° [ Help ]

Volume: 1336.52(7) Å3 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.091630 0.025810 -0.284580

Z: 8 [ Help ]

Cell measurement temperature: 100 K [ Help ]

μ: 1.242 mm-1 [ Help ]

Absorption correction type: none [ Help ]

Refinement details

Refinement remarks: Ristrictions restric T1o* -1 restric T1m* -1 restric T2o* -1 restric T2m* -1 restric M1* 11 restric M* -4 Equations equation : o[M1Na]=1-o[M2Ca]-o[M1Ca] equation : o[T1oAl]=1-o[T1oSi] equation : o[T1mAl]=1-o[T1mSi] equation : o[T2oAl]=1-o[T2oSi] equation : o[T2mAl]=1-o[T2mSi] Fixed Commands fixed ind o[T*] fixed ind osin1[T*] fixed ind ocos1[T*] fixed ind osin2[T*] fixed ind ocos2[T*] [ Help ]

Total nb. of reflections: 9366 [ Help ]

Nb. of observed reflections: 7205 [ Help ]

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

Refinement based on: Fsqd [ Help ]

R(obs): 0.0290 [ Help ]

wR(obs): 0.1071 [ Help ]

R(all): 0.0370 [ Help ]

wR(all): 0.1107 [ Help ]

S(all): 1.84 [ Help ]

S(obs): 2.05 [ Help ]

Nb. of reflections: 9366 [ Help ]

Nb. of parameters: 642 [ Help ]

Number of constraints: 250 [ Help ]

Weighting scheme: sigma [ Help ]

Weighting scheme remarks: w=1/(σ2(I)+0.0016I2) [ Help ]

Δ/σ(max): 0.0493 [ Help ]

Δ/σ(mean): 0.0014 [ Help ]

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

Extinction coefficient: 3500(700) [ 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
M1na Na 0.26775(13) -0.01365(17) 0.07936(18) Uani 0.0202(4) 8 0.510(4) d ? ? ?
M1ca Ca 0.26775(13) -0.01365(17) 0.07936(18) Uani 0.0202(4) 8 0.154(6) d ? ? ?
M2ca Ca 0.26963(19) 0.02545(17) 0.05004(14) Uani 0.0233(5) 8 0.336(7) d ? ? ?
T1osi Si 0.49368(3) 0.335066(19) -0.10656(2) Uani 0.00664(9) 8 0.3575 d ? ? ?
T1msi Si 0.50306(3) 0.318113(18) 0.116245(18) Uani 0.00665(9) 8 0.7438 d ? ? ?
T2osi Si 0.68597(3) 0.109332(18) 0.15800(2) Uani 0.00649(10) 8 0.7467 d ? ? ?
T2msi Si 0.18102(3) 0.379800(18) 0.178557(18) Uani 0.00642(10) 8 0.712 d ? ? ?
T1oal Al 0.49368(3) 0.335066(19) -0.10656(2) Uani 0.00664(9) 8 0.6425 d ? ? ?
T1mal Al 0.50306(3) 0.318113(18) 0.116245(18) Uani 0.00665(9) 8 0.2562 d ? ? ?
T2oal Al 0.68597(3) 0.109332(18) 0.15800(2) Uani 0.00649(10) 8 0.2533 d ? ? ?
T2mal Al 0.18102(3) 0.379800(18) 0.178557(18) Uani 0.00642(10) 8 0.288 d ? ? ?
Oa1 O 0.49699(10) 0.37113(5) 0.01169(5) Uani 0.0142(2) 8 1 d ? ? ?
Oa2 O 0.58167(9) -0.00654(5) 0.13895(5) Uani 0.0095(2) 8 1 d ? ? ?
Obo O 0.81207(9) 0.10585(5) 0.09456(6) Uani 0.0130(2) 8 1 d ? ? ?
Obm O 0.31727(10) 0.35300(6) 0.12377(6) Uani 0.0176(3) 8 1 d ? ? ?
Oco O 0.48737(10) 0.20658(5) -0.13874(5) Uani 0.0129(2) 8 1 d ? ? ?
Ocm O 0.51582(9) 0.18991(5) 0.10842(5) Uani 0.0136(2) 8 1 d ? ? ?
Odo O 0.29948(9) 0.39226(5) 0.30739(5) Uani 0.0120(2) 8 1 d ? ? ?
Odm O 0.68923(10) 0.36738(5) 0.21617(5) Uani 0.0141(2) 8 1 d ? ? ?

ADP components: [ Help ]

Atom site label Atom site symbol U11 U22 U33 U12 U13 U23
M1na Na 0.0067(3) 0.0328(6) 0.0158(6) -0.0014(3) 0.0025(3) -0.0160(4)
M1ca Ca 0.0067(3) 0.0328(6) 0.0158(6) -0.0014(3) 0.0025(3) -0.0160(4)
M2ca Ca 0.0125(5) 0.0331(12) 0.0168(7) 0.0053(5) 0.0014(4) -0.0106(7)
T1osi Si 0.00689(13) 0.00851(13) 0.00426(13) -0.00095(9) 0.00212(10) 0.00110(9)
T1msi Si 0.00713(13) 0.00836(12) 0.00405(13) 0.00284(8) 0.00214(9) 0.00042(8)
T2osi Si 0.00643(13) 0.00551(12) 0.00658(13) 0.00046(9) 0.00208(10) 0.00001(9)
T2msi Si 0.00649(13) 0.00629(12) 0.00591(14) 0.00097(8) 0.00214(10) 0.00120(9)
T1oal Al 0.00689(13) 0.00851(13) 0.00426(13) -0.00095(9) 0.00212(10) 0.00110(9)
T1mal Al 0.00713(13) 0.00836(12) 0.00405(13) 0.00284(8) 0.00214(9) 0.00042(8)
T2oal Al 0.00643(13) 0.00551(12) 0.00658(13) 0.00046(9) 0.00208(10) 0.00001(9)
T2mal Al 0.00649(13) 0.00629(12) 0.00591(14) 0.00097(8) 0.00214(10) 0.00120(9)
Oa1 O 0.0205(3) 0.0166(3) 0.0078(3) 0.0023(2) 0.0081(3) 0.0030(2)
Oa2 O 0.0104(3) 0.0089(3) 0.0086(3) 0.0007(2) 0.0035(2) 0.0019(2)
Obo O 0.0127(3) 0.0123(3) 0.0160(3) -0.0010(2) 0.0082(3) -0.0001(2)
Obm O 0.0143(3) 0.0178(3) 0.0243(4) 0.0010(3) 0.0121(3) -0.0021(3)
Oco O 0.0124(3) 0.0149(3) 0.0109(3) -0.0011(2) 0.0046(2) 0.0013(2)
Ocm O 0.0125(3) 0.0144(3) 0.0103(3) 0.0044(2) 0.0022(2) -0.0022(2)
Odo O 0.0127(3) 0.0119(3) 0.0073(3) -0.0001(2) 0.0005(2) 0.0017(2)
Odm O 0.0124(3) 0.0128(3) 0.0102(3) 0.0013(2) -0.0009(3) -0.0012(2)

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
M1na 0.510(4)
M1ca 0.154(6)
M2ca 0.336(7)
T1osi 0.3575
T1msi 0.7439
T2osi 0.7467
T2msi 0.712
T1oal 0.6425
T1mal 0.2561
T2oal 0.2533
T2mal 0.288

Definition of the occupation Fourier series: [ Help ]

Modulation code Atom site label Wave vector code
M1nao1 M1na 1
M1nao2 M1na 2
M1cao1 M1ca 1
M1cao2 M1ca 2
M2cao1 M2ca 1
M2cao2 M2ca 2
T1osio1 T1osi 1
T1osio2 T1osi 2
T1msio1 T1msi 1
T1msio2 T1msi 2
T2osio1 T2osi 1
T2osio2 T2osi 2
T2msio1 T2msi 1
T2msio2 T2msi 2
T1oalo1 T1oal 1
T1oalo2 T1oal 2
T1malo1 T1mal 1
T1malo2 T1mal 2
T2oalo1 T2oal 1
T2oalo2 T2oal 2
T2malo1 T2mal 1
T2malo2 T2mal 2

Occupation Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
M1nao1 -0.037(2) 0.043(2)
M1nao2 -0.067(2) 0.0593(17)
M1cao1 -0.079(4) 0.057(9)
M1cao2 -0.073(6) -0.020(4)
M2cao1 0.122(5) -0.093(9)
M2cao2 0.143(6) -0.022(4)
T1osio1 0.3803 -0.0291
T1osio2 0.0806 -0.043
T1msio1 -0.2648 0.2302
T1msio2 -0.0161 0.1019
T2osio1 0.2552 -0.0342
T2osio2 -0.057 0.0149
T2msio1 0.3336 0.0639
T2msio2 -0.1047 -0.0383
T1oalo1 -0.3803 0.0291
T1oalo2 -0.0806 0.043
T1malo1 0.2648 -0.2302
T1malo2 0.0161 -0.1019
T2oalo1 -0.2552 0.0342
T2oalo2 0.057 -0.0149
T2malo1 -0.3336 -0.0639
T2malo2 0.1047 0.0383

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

Modulation code Atom site label Displacement axis Wave vector code
M1nax1 M1na x 1
M1nay1 M1na y 1
M1naz1 M1na z 1
M1nax2 M1na x 2
M1nay2 M1na y 2
M1naz2 M1na z 2
M1cax1 M1ca x 1
M1cay1 M1ca y 1
M1caz1 M1ca z 1
M1cax2 M1ca x 2
M1cay2 M1ca y 2
M1caz2 M1ca z 2
M2cax1 M2ca x 1
M2cay1 M2ca y 1
M2caz1 M2ca z 1
M2cax2 M2ca x 2
M2cay2 M2ca y 2
M2caz2 M2ca z 2
T1osix1 T1osi x 1
T1osiy1 T1osi y 1
T1osiz1 T1osi z 1
T1osix2 T1osi x 2
T1osiy2 T1osi y 2
T1osiz2 T1osi z 2
T1msix1 T1msi x 1
T1msiy1 T1msi y 1
T1msiz1 T1msi z 1
T1msix2 T1msi x 2
T1msiy2 T1msi y 2
T1msiz2 T1msi z 2
T2osix1 T2osi x 1
T2osiy1 T2osi y 1
T2osiz1 T2osi z 1
T2osix2 T2osi x 2
T2osiy2 T2osi y 2
T2osiz2 T2osi z 2
T2msix1 T2msi x 1
T2msiy1 T2msi y 1
T2msiz1 T2msi z 1
T2msix2 T2msi x 2
T2msiy2 T2msi y 2
T2msiz2 T2msi z 2
T1oalx1 T1oal x 1
T1oaly1 T1oal y 1
T1oalz1 T1oal z 1
T1oalx2 T1oal x 2
T1oaly2 T1oal y 2
T1oalz2 T1oal z 2
T1malx1 T1mal x 1
T1maly1 T1mal y 1
T1malz1 T1mal z 1
T1malx2 T1mal x 2
T1maly2 T1mal y 2
T1malz2 T1mal z 2
T2oalx1 T2oal x 1
T2oaly1 T2oal y 1
T2oalz1 T2oal z 1
T2oalx2 T2oal x 2
T2oaly2 T2oal y 2
T2oalz2 T2oal z 2
T2malx1 T2mal x 1
T2maly1 T2mal y 1
T2malz1 T2mal z 1
T2malx2 T2mal x 2
T2maly2 T2mal y 2
T2malz2 T2mal z 2
Oa1x1 Oa1 x 1
Oa1y1 Oa1 y 1
Oa1z1 Oa1 z 1
Oa1x2 Oa1 x 2
Oa1y2 Oa1 y 2
Oa1z2 Oa1 z 2
Oa2x1 Oa2 x 1
Oa2y1 Oa2 y 1
Oa2z1 Oa2 z 1
Oa2x2 Oa2 x 2
Oa2y2 Oa2 y 2
Oa2z2 Oa2 z 2
Obox1 Obo x 1
Oboy1 Obo y 1
Oboz1 Obo z 1
Obox2 Obo x 2
Oboy2 Obo y 2
Oboz2 Obo z 2
Obmx1 Obm x 1
Obmy1 Obm y 1
Obmz1 Obm z 1
Obmx2 Obm x 2
Obmy2 Obm y 2
Obmz2 Obm z 2
Ocox1 Oco x 1
Ocoy1 Oco y 1
Ocoz1 Oco z 1
Ocox2 Oco x 2
Ocoy2 Oco y 2
Ocoz2 Oco z 2
Ocmx1 Ocm x 1
Ocmy1 Ocm y 1
Ocmz1 Ocm z 1
Ocmx2 Ocm x 2
Ocmy2 Ocm y 2
Ocmz2 Ocm z 2
Odox1 Odo x 1
Odoy1 Odo y 1
Odoz1 Odo z 1
Odox2 Odo x 2
Odoy2 Odo y 2
Odoz2 Odo z 2
Odmx1 Odm x 1
Odmy1 Odm y 1
Odmz1 Odm z 1
Odmx2 Odm x 2
Odmy2 Odm y 2
Odmz2 Odm z 2

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
M1nax1 -0.00274(11) 0.0002(2)
M1nay1 0.0021(3) -0.0280(3)
M1naz1 -0.00299(17) 0.0118(3)
M1nax2 -0.00123(14) -0.00159(11)
M1nay2 -0.0085(2) 0.0025(2)
M1naz2 0.0043(2) -0.00134(15)
M1cax1 -0.00274(11) 0.0002(2)
M1cay1 0.0021(3) -0.0280(3)
M1caz1 -0.00299(17) 0.0118(3)
M1cax2 -0.00123(14) -0.00159(11)
M1cay2 -0.0085(2) 0.0025(2)
M1caz2 0.0043(2) -0.00134(15)
M2cax1 -0.00524(9) 0.0005(3)
M2cay1 -0.00216(9) -0.0097(3)
M2caz1 0.00149(8) 0.0015(2)
M2cax2 0.0026(2) 0.00018(14)
M2cay2 0.0057(2) -0.00203(10)
M2caz2 -0.00158(15) -0.00006(8)
T1osix1 -0.00217(3) -0.00640(3)
T1osiy1 0.001394(18) 0.01001(2)
T1osiz1 0.002472(17) 0.001475(17)
T1osix2 0.00025(3) -0.00125(3)
T1osiy2 0.001271(18) 0.000092(18)
T1osiz2 -0.000200(18) -0.000872(18)
T1msix1 -0.00168(3) 0.00691(3)
T1msiy1 -0.000330(18) 0.00944(2)
T1msiz1 0.002440(17) -0.001120(17)
T1msix2 0.00004(3) -0.00045(3)
T1msiy2 0.000067(17) -0.000576(17)
T1msiz2 -0.000377(17) -0.000243(17)
T2osix1 -0.00408(3) 0.00218(3)
T2osiy1 -0.002242(17) 0.006038(18)
T2osiz1 0.000516(16) -0.001917(17)
T2osix2 -0.00043(3) -0.00064(3)
T2osiy2 -0.000113(16) -0.000089(16)
T2osiz2 0.000279(17) -0.001084(17)
T2msix1 -0.00130(3) 0.00512(3)
T2msiy1 0.001954(17) -0.007384(19)
T2msiz1 0.001749(17) -0.000112(17)
T2msix2 -0.00085(3) -0.00103(3)
T2msiy2 -0.000783(17) 0.000017(16)
T2msiz2 -0.000082(17) -0.000014(17)
T1oalx1 -0.00217(3) -0.00640(3)
T1oaly1 0.001394(18) 0.01001(2)
T1oalz1 0.002472(17) 0.001475(17)
T1oalx2 0.00025(3) -0.00125(3)
T1oaly2 0.001271(18) 0.000092(18)
T1oalz2 -0.000200(18) -0.000872(18)
T1malx1 -0.00168(3) 0.00691(3)
T1maly1 -0.000330(18) 0.00944(2)
T1malz1 0.002440(17) -0.001120(17)
T1malx2 0.00004(3) -0.00045(3)
T1maly2 0.000067(17) -0.000576(17)
T1malz2 -0.000377(17) -0.000243(17)
T2oalx1 -0.00408(3) 0.00218(3)
T2oaly1 -0.002242(17) 0.006038(18)
T2oalz1 0.000516(16) -0.001917(17)
T2oalx2 -0.00043(3) -0.00064(3)
T2oaly2 -0.000113(16) -0.000089(16)
T2oalz2 0.000279(17) -0.001084(17)
T2malx1 -0.00130(3) 0.00512(3)
T2maly1 0.001954(17) -0.007384(19)
T2malz1 0.001749(17) -0.000112(17)
T2malx2 -0.00085(3) -0.00103(3)
T2maly2 -0.000783(17) 0.000017(16)
T2malz2 -0.000082(17) -0.000014(17)
Oa1x1 -0.00716(9) -0.00273(9)
Oa1y1 -0.00095(5) 0.01459(5)
Oa1z1 -0.00102(4) 0.00202(5)
Oa1x2 0.00256(9) -0.00190(8)
Oa1y2 0.00108(5) -0.00125(5)
Oa1z2 -0.00032(4) -0.00016(4)
Oa2x1 -0.00318(7) -0.00497(8)
Oa2y1 0.00080(4) 0.00835(5)
Oa2z1 0.00035(4) -0.00020(4)
Oa2x2 -0.00241(8) -0.00042(8)
Oa2y2 -0.00043(4) 0.00013(4)
Oa2z2 -0.00042(4) -0.00157(4)
Obox1 -0.00678(8) 0.00451(8)
Oboy1 -0.00115(5) -0.00629(5)
Oboz1 0.00252(5) -0.00013(5)
Obox2 0.00127(8) -0.00235(8)
Oboy2 -0.00170(4) 0.00111(4)
Oboz2 0.00034(5) -0.00216(5)
Obmx1 -0.00078(9) 0.01136(9)
Obmy1 -0.00102(5) -0.00108(5)
Obmz1 0.00760(6) 0.00413(5)
Obmx2 -0.00087(8) 0.00354(9)
Obmy2 0.00094(4) -0.00157(5)
Obmz2 -0.00184(5) 0.00231(5)
Ocox1 0.00225(8) -0.01181(8)
Ocoy1 0.00521(5) 0.01014(5)
Ocoz1 0.00305(5) 0.00181(5)
Ocox2 0.00138(8) -0.00120(8)
Ocoy2 0.00244(5) -0.00023(4)
Ocoz2 0.00045(4) -0.00132(5)
Ocmx1 0.00017(8) 0.01324(9)
Ocmy1 -0.00338(5) 0.01268(5)
Ocmz1 0.00193(5) -0.00580(5)
Ocmx2 -0.00230(8) -0.00101(8)
Ocmy2 -0.00033(5) 0.00033(5)
Ocmz2 -0.00100(5) -0.00008(5)
Odox1 -0.00669(8) 0.00541(8)
Odoy1 0.00131(5) -0.01039(5)
Odoz1 -0.00161(4) -0.00015(4)
Odox2 -0.00035(8) -0.00339(8)
Odoy2 -0.00007(4) 0.00065(4)
Odoz2 0.00120(4) 0.00028(4)
Odmx1 0.00614(8) 0.00123(8)
Odmy1 0.00116(5) 0.00902(5)
Odmz1 0.00213(5) -0.00125(4)
Odmx2 -0.00061(8) -0.00046(8)
Odmy2 -0.00051(4) -0.00098(4)
Odmz2 0.00001(4) -0.00169(4)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
M1naU111 M1na U11 1
M1naU221 M1na U22 1
M1naU331 M1na U33 1
M1naU121 M1na U12 1
M1naU131 M1na U13 1
M1naU231 M1na U23 1
M1naU112 M1na U11 2
M1naU222 M1na U22 2
M1naU332 M1na U33 2
M1naU122 M1na U12 2
M1naU132 M1na U13 2
M1naU232 M1na U23 2
M1caU111 M1ca U11 1
M1caU221 M1ca U22 1
M1caU331 M1ca U33 1
M1caU121 M1ca U12 1
M1caU131 M1ca U13 1
M1caU231 M1ca U23 1
M1caU112 M1ca U11 2
M1caU222 M1ca U22 2
M1caU332 M1ca U33 2
M1caU122 M1ca U12 2
M1caU132 M1ca U13 2
M1caU232 M1ca U23 2
M2caU111 M2ca U11 1
M2caU221 M2ca U22 1
M2caU331 M2ca U33 1
M2caU121 M2ca U12 1
M2caU131 M2ca U13 1
M2caU231 M2ca U23 1
M2caU112 M2ca U11 2
M2caU222 M2ca U22 2
M2caU332 M2ca U33 2
M2caU122 M2ca U12 2
M2caU132 M2ca U13 2
M2caU232 M2ca U23 2
T1osiU111 T1osi U11 1
T1osiU221 T1osi U22 1
T1osiU331 T1osi U33 1
T1osiU121 T1osi U12 1
T1osiU131 T1osi U13 1
T1osiU231 T1osi U23 1
T1osiU112 T1osi U11 2
T1osiU222 T1osi U22 2
T1osiU332 T1osi U33 2
T1osiU122 T1osi U12 2
T1osiU132 T1osi U13 2
T1osiU232 T1osi U23 2
T1msiU111 T1msi U11 1
T1msiU221 T1msi U22 1
T1msiU331 T1msi U33 1
T1msiU121 T1msi U12 1
T1msiU131 T1msi U13 1
T1msiU231 T1msi U23 1
T1msiU112 T1msi U11 2
T1msiU222 T1msi U22 2
T1msiU332 T1msi U33 2
T1msiU122 T1msi U12 2
T1msiU132 T1msi U13 2
T1msiU232 T1msi U23 2
T2osiU111 T2osi U11 1
T2osiU221 T2osi U22 1
T2osiU331 T2osi U33 1
T2osiU121 T2osi U12 1
T2osiU131 T2osi U13 1
T2osiU231 T2osi U23 1
T2osiU112 T2osi U11 2
T2osiU222 T2osi U22 2
T2osiU332 T2osi U33 2
T2osiU122 T2osi U12 2
T2osiU132 T2osi U13 2
T2osiU232 T2osi U23 2
T2msiU111 T2msi U11 1
T2msiU221 T2msi U22 1
T2msiU331 T2msi U33 1
T2msiU121 T2msi U12 1
T2msiU131 T2msi U13 1
T2msiU231 T2msi U23 1
T2msiU112 T2msi U11 2
T2msiU222 T2msi U22 2
T2msiU332 T2msi U33 2
T2msiU122 T2msi U12 2
T2msiU132 T2msi U13 2
T2msiU232 T2msi U23 2
T1oalU111 T1oal U11 1
T1oalU221 T1oal U22 1
T1oalU331 T1oal U33 1
T1oalU121 T1oal U12 1
T1oalU131 T1oal U13 1
T1oalU231 T1oal U23 1
T1oalU112 T1oal U11 2
T1oalU222 T1oal U22 2
T1oalU332 T1oal U33 2
T1oalU122 T1oal U12 2
T1oalU132 T1oal U13 2
T1oalU232 T1oal U23 2
T1malU111 T1mal U11 1
T1malU221 T1mal U22 1
T1malU331 T1mal U33 1
T1malU121 T1mal U12 1
T1malU131 T1mal U13 1
T1malU231 T1mal U23 1
T1malU112 T1mal U11 2
T1malU222 T1mal U22 2
T1malU332 T1mal U33 2
T1malU122 T1mal U12 2
T1malU132 T1mal U13 2
T1malU232 T1mal U23 2
T2oalU111 T2oal U11 1
T2oalU221 T2oal U22 1
T2oalU331 T2oal U33 1
T2oalU121 T2oal U12 1
T2oalU131 T2oal U13 1
T2oalU231 T2oal U23 1
T2oalU112 T2oal U11 2
T2oalU222 T2oal U22 2
T2oalU332 T2oal U33 2
T2oalU122 T2oal U12 2
T2oalU132 T2oal U13 2
T2oalU232 T2oal U23 2
T2malU111 T2mal U11 1
T2malU221 T2mal U22 1
T2malU331 T2mal U33 1
T2malU121 T2mal U12 1
T2malU131 T2mal U13 1
T2malU231 T2mal U23 1
T2malU112 T2mal U11 2
T2malU222 T2mal U22 2
T2malU332 T2mal U33 2
T2malU122 T2mal U12 2
T2malU132 T2mal U13 2
T2malU232 T2mal U23 2
Oa1U111 Oa1 U11 1
Oa1U221 Oa1 U22 1
Oa1U331 Oa1 U33 1
Oa1U121 Oa1 U12 1
Oa1U131 Oa1 U13 1
Oa1U231 Oa1 U23 1
Oa1U112 Oa1 U11 2
Oa1U222 Oa1 U22 2
Oa1U332 Oa1 U33 2
Oa1U122 Oa1 U12 2
Oa1U132 Oa1 U13 2
Oa1U232 Oa1 U23 2
Oa2U111 Oa2 U11 1
Oa2U221 Oa2 U22 1
Oa2U331 Oa2 U33 1
Oa2U121 Oa2 U12 1
Oa2U131 Oa2 U13 1
Oa2U231 Oa2 U23 1
Oa2U112 Oa2 U11 2
Oa2U222 Oa2 U22 2
Oa2U332 Oa2 U33 2
Oa2U122 Oa2 U12 2
Oa2U132 Oa2 U13 2
Oa2U232 Oa2 U23 2
OboU111 Obo U11 1
OboU221 Obo U22 1
OboU331 Obo U33 1
OboU121 Obo U12 1
OboU131 Obo U13 1
OboU231 Obo U23 1
OboU112 Obo U11 2
OboU222 Obo U22 2
OboU332 Obo U33 2
OboU122 Obo U12 2
OboU132 Obo U13 2
OboU232 Obo U23 2
ObmU111 Obm U11 1
ObmU221 Obm U22 1
ObmU331 Obm U33 1
ObmU121 Obm U12 1
ObmU131 Obm U13 1
ObmU231 Obm U23 1
ObmU112 Obm U11 2
ObmU222 Obm U22 2
ObmU332 Obm U33 2
ObmU122 Obm U12 2
ObmU132 Obm U13 2
ObmU232 Obm U23 2
OcoU111 Oco U11 1
OcoU221 Oco U22 1
OcoU331 Oco U33 1
OcoU121 Oco U12 1
OcoU131 Oco U13 1
OcoU231 Oco U23 1
OcoU112 Oco U11 2
OcoU222 Oco U22 2
OcoU332 Oco U33 2
OcoU122 Oco U12 2
OcoU132 Oco U13 2
OcoU232 Oco U23 2
OcmU111 Ocm U11 1
OcmU221 Ocm U22 1
OcmU331 Ocm U33 1
OcmU121 Ocm U12 1
OcmU131 Ocm U13 1
OcmU231 Ocm U23 1
OcmU112 Ocm U11 2
OcmU222 Ocm U22 2
OcmU332 Ocm U33 2
OcmU122 Ocm U12 2
OcmU132 Ocm U13 2
OcmU232 Ocm U23 2
OdoU111 Odo U11 1
OdoU221 Odo U22 1
OdoU331 Odo U33 1
OdoU121 Odo U12 1
OdoU131 Odo U13 1
OdoU231 Odo U23 1
OdoU112 Odo U11 2
OdoU222 Odo U22 2
OdoU332 Odo U33 2
OdoU122 Odo U12 2
OdoU132 Odo U13 2
OdoU232 Odo U23 2
OdmU111 Odm U11 1
OdmU221 Odm U22 1
OdmU331 Odm U33 1
OdmU121 Odm U12 1
OdmU131 Odm U13 1
OdmU231 Odm U23 1
OdmU112 Odm U11 2
OdmU222 Odm U22 2
OdmU332 Odm U33 2
OdmU122 Odm U12 2
OdmU132 Odm U13 2
OdmU232 Odm U23 2

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
M1naU111 -0.0007(3) -0.0016(4)
M1naU221 -0.0087(13) -0.0143(10)
M1naU331 -0.0047(7) -0.0091(9)
M1naU121 0.0016(4) -0.0059(5)
M1naU131 -0.0014(3) 0.0027(4)
M1naU231 0.0068(8) 0.0096(6)
M1naU112 0.0001(4) 0.0000(3)
M1naU222 0.0022(9) 0.0147(12)
M1naU332 -0.0038(7) 0.0047(6)
M1naU122 -0.0059(4) -0.0026(4)
M1naU132 0.0027(3) 0.0009(3)
M1naU232 0.0030(6) -0.0082(7)
M1caU111 -0.0007(3) -0.0016(4)
M1caU221 -0.0087(13) -0.0143(10)
M1caU331 -0.0047(7) -0.0091(9)
M1caU121 0.0016(4) -0.0059(5)
M1caU131 -0.0014(3) 0.0027(4)
M1caU231 0.0068(8) 0.0096(6)
M1caU112 0.0001(4) 0.0000(3)
M1caU222 0.0022(9) 0.0147(12)
M1caU332 -0.0038(7) 0.0047(6)
M1caU122 -0.0059(4) -0.0026(4)
M1caU132 0.0027(3) 0.0009(3)
M1caU232 0.0030(6) -0.0082(7)
M2caU111 0.0001(3) 0.0084(7)
M2caU221 -0.0018(5) 0.0388(18)
M2caU331 -0.0020(4) 0.0143(10)
M2caU121 -0.0004(2) 0.0063(7)
M2caU131 0.0009(2) 0.0009(6)
M2caU231 0.0028(3) -0.0159(11)
M2caU112 -0.0077(5) 0.0001(4)
M2caU222 -0.0199(11) -0.0019(5)
M2caU332 -0.0084(6) -0.0027(4)
M2caU122 -0.0006(5) 0.0003(3)
M2caU132 -0.0021(4) 0.0006(3)
M2caU232 0.0066(7) 0.0027(3)
T1osiU111 0.00020(10) 0.00014(10)
T1osiU221 0.00053(11) -0.00046(11)
T1osiU331 -0.00081(9) 0.00033(10)
T1osiU121 -0.00094(8) 0.00051(8)
T1osiU131 0.00004(8) 0.00024(8)
T1osiU231 -0.00057(8) -0.00006(8)
T1osiU112 -0.00004(12) -0.00021(12)
T1osiU222 0.00329(11) -0.00027(11)
T1osiU332 0.00059(11) 0.00019(11)
T1osiU122 -0.00069(9) 0.00011(9)
T1osiU132 -0.00010(9) -0.00004(9)
T1osiU232 0.00071(9) 0.00030(9)
T1msiU111 0.00007(10) 0.00026(10)
T1msiU221 -0.00086(10) 0.00173(10)
T1msiU331 0.00014(9) 0.00035(9)
T1msiU121 -0.00056(8) 0.00027(8)
T1msiU131 0.00028(8) 0.00034(8)
T1msiU231 -0.00015(8) 0.00015(8)
T1msiU112 0.00028(11) -0.00023(12)
T1msiU222 0.00313(10) -0.00101(10)
T1msiU332 0.00013(10) -0.00046(10)
T1msiU122 0.00102(8) -0.00041(9)
T1msiU132 -0.00020(9) -0.00003(9)
T1msiU232 -0.00055(8) 0.00009(8)
T2osiU111 0.00019(10) -0.00068(9)
T2osiU221 -0.00024(10) 0.00016(10)
T2osiU331 0.00135(9) -0.00023(9)
T2osiU121 0.00001(8) -0.00050(7)
T2osiU131 0.00020(8) 0.00005(8)
T2osiU231 -0.00084(8) -0.00034(7)
T2osiU112 0.00009(11) 0.00002(11)
T2osiU222 0.00142(10) -0.00008(10)
T2osiU332 0.00072(11) 0.00011(10)
T2osiU122 -0.00005(8) 0.00026(8)
T2osiU132 0.00021(9) 0.00043(9)
T2osiU232 -0.00079(8) 0.00025(8)
T2msiU111 0.00030(9) 0.00055(10)
T2msiU221 -0.00077(10) -0.00024(10)
T2msiU331 -0.00006(9) 0.00057(9)
T2msiU121 0.00061(8) 0.00037(8)
T2msiU131 0.00005(8) 0.00045(8)
T2msiU231 -0.00023(8) 0.00031(7)
T2msiU112 -0.00018(11) -0.00016(11)
T2msiU222 0.00188(10) -0.00031(10)
T2msiU332 0.00009(10) -0.00035(10)
T2msiU122 -0.00004(8) 0.00010(8)
T2msiU132 -0.00019(9) 0.00014(9)
T2msiU232 0.00024(8) -0.00040(8)
T1oalU111 0.00020(10) 0.00014(10)
T1oalU221 0.00053(11) -0.00046(11)
T1oalU331 -0.00081(9) 0.00033(10)
T1oalU121 -0.00094(8) 0.00051(8)
T1oalU131 0.00004(8) 0.00024(8)
T1oalU231 -0.00057(8) -0.00006(8)
T1oalU112 -0.00004(12) -0.00021(12)
T1oalU222 0.00329(11) -0.00027(11)
T1oalU332 0.00059(11) 0.00019(11)
T1oalU122 -0.00069(9) 0.00011(9)
T1oalU132 -0.00010(9) -0.00004(9)
T1oalU232 0.00071(9) 0.00030(9)
T1malU111 0.00007(10) 0.00026(10)
T1malU221 -0.00086(10) 0.00173(10)
T1malU331 0.00014(9) 0.00035(9)
T1malU121 -0.00056(8) 0.00027(8)
T1malU131 0.00028(8) 0.00034(8)
T1malU231 -0.00015(8) 0.00015(8)
T1malU112 0.00028(11) -0.00023(12)
T1malU222 0.00313(10) -0.00101(10)
T1malU332 0.00013(10) -0.00046(10)
T1malU122 0.00102(8) -0.00041(9)
T1malU132 -0.00020(9) -0.00003(9)
T1malU232 -0.00055(8) 0.00009(8)
T2oalU111 0.00019(10) -0.00068(9)
T2oalU221 -0.00024(10) 0.00016(10)
T2oalU331 0.00135(9) -0.00023(9)
T2oalU121 0.00001(8) -0.00050(7)
T2oalU131 0.00020(8) 0.00005(8)
T2oalU231 -0.00084(8) -0.00034(7)
T2oalU112 0.00009(11) 0.00002(11)
T2oalU222 0.00142(10) -0.00008(10)
T2oalU332 0.00072(11) 0.00011(10)
T2oalU122 -0.00005(8) 0.00026(8)
T2oalU132 0.00021(9) 0.00043(9)
T2oalU232 -0.00079(8) 0.00025(8)
T2malU111 0.00030(9) 0.00055(10)
T2malU221 -0.00077(10) -0.00024(10)
T2malU331 -0.00006(9) 0.00057(9)
T2malU121 0.00061(8) 0.00037(8)
T2malU131 0.00005(8) 0.00045(8)
T2malU231 -0.00023(8) 0.00031(7)
T2malU112 -0.00018(11) -0.00016(11)
T2malU222 0.00188(10) -0.00031(10)
T2malU332 0.00009(10) -0.00035(10)
T2malU122 -0.00004(8) 0.00010(8)
T2malU132 -0.00019(9) 0.00014(9)
T2malU232 0.00024(8) -0.00040(8)
Oa1U111 -0.0027(3) 0.0065(3)
Oa1U221 -0.0043(3) 0.0032(3)
Oa1U331 0.0000(3) 0.0009(3)
Oa1U121 -0.0034(3) 0.0002(3)
Oa1U131 -0.0006(2) 0.0019(2)
Oa1U231 -0.0016(2) 0.0005(2)
Oa1U112 0.0002(4) -0.0005(4)
Oa1U222 0.0074(3) -0.0018(3)
Oa1U332 -0.0002(3) 0.0001(3)
Oa1U122 0.0014(3) -0.0009(3)
Oa1U132 -0.0004(3) 0.0001(3)
Oa1U232 0.0016(2) -0.0009(2)
Oa2U111 0.0000(3) -0.0018(3)
Oa2U221 -0.0001(3) 0.0010(3)
Oa2U331 0.0001(3) -0.0002(2)
Oa2U121 -0.0022(2) -0.0009(2)
Oa2U131 0.0002(2) -0.0004(2)
Oa2U231 -0.0020(2) -0.0002(2)
Oa2U112 0.0001(3) -0.0008(3)
Oa2U222 0.0025(3) 0.0008(3)
Oa2U332 0.0006(3) -0.0003(3)
Oa2U122 0.0002(2) 0.0003(2)
Oa2U132 0.0005(2) -0.0004(2)
Oa2U232 0.0001(2) 0.0002(2)
OboU111 0.0001(3) 0.0000(3)
OboU221 -0.0003(3) 0.0003(3)
OboU331 0.0029(3) 0.0001(3)
OboU121 0.0024(2) 0.0001(2)
OboU131 0.0017(2) 0.0006(2)
OboU231 0.0008(2) 0.0003(2)
OboU112 -0.0011(3) 0.0016(3)
OboU222 0.0020(3) 0.0001(3)
OboU332 0.0005(3) 0.0020(3)
OboU122 -0.0011(2) 0.0000(2)
OboU132 -0.0002(3) 0.0021(3)
OboU232 -0.0008(2) -0.0004(2)
ObmU111 0.0029(3) 0.0018(3)
ObmU221 -0.0023(3) 0.0026(3)
ObmU331 -0.0004(4) 0.0074(3)
ObmU121 -0.0007(2) 0.0025(3)
ObmU131 0.0023(3) 0.0050(3)
ObmU231 0.0006(3) 0.0016(3)
ObmU112 0.0003(4) -0.0002(3)
ObmU222 -0.0007(3) -0.0028(3)
ObmU332 0.0029(4) -0.0026(4)
ObmU122 -0.0004(3) 0.0009(3)
ObmU132 0.0013(3) -0.0009(3)
ObmU232 -0.0016(3) 0.0027(3)
OcoU111 0.0019(3) 0.0008(3)
OcoU221 0.0020(3) -0.0021(3)
OcoU331 0.0003(3) -0.0003(3)
OcoU121 0.0005(2) 0.0018(2)
OcoU131 0.0018(2) -0.0006(2)
OcoU231 -0.0002(2) 0.0001(2)
OcoU112 0.0008(3) 0.0003(3)
OcoU222 0.0027(3) 0.0009(3)
OcoU332 -0.0001(3) 0.0005(3)
OcoU122 -0.0014(2) 0.0010(2)
OcoU132 -0.0004(3) -0.0005(3)
OcoU232 -0.0002(2) 0.0018(2)
OcmU111 -0.0030(3) 0.0010(3)
OcmU221 0.0022(3) -0.0001(3)
OcmU331 -0.0007(3) 0.0008(3)
OcmU121 0.0006(2) 0.0001(2)
OcmU131 -0.0003(2) -0.0001(2)
OcmU231 0.0005(2) -0.0003(2)
OcmU112 0.0020(3) 0.0003(3)
OcmU222 0.0052(3) -0.0009(3)
OcmU332 0.0012(3) -0.0009(3)
OcmU122 0.0031(3) 0.0006(2)
OcmU132 -0.0015(3) 0.0006(3)
OcmU232 -0.0027(2) 0.0015(2)
OdoU111 -0.0004(3) 0.0002(3)
OdoU221 -0.0021(3) 0.0013(3)
OdoU331 -0.0011(3) -0.0004(3)
OdoU121 0.0022(2) -0.0012(2)
OdoU131 -0.0011(2) -0.0007(2)
OdoU231 -0.0005(2) 0.0006(2)
OdoU112 -0.0002(3) -0.0008(3)
OdoU222 0.0031(3) -0.0020(3)
OdoU332 0.0008(3) 0.0008(3)
OdoU122 0.0002(2) 0.0006(2)
OdoU132 -0.0002(2) 0.0015(2)
OdoU232 0.0003(2) -0.0006(2)
OdmU111 -0.0001(3) 0.0028(3)
OdmU221 -0.0022(3) -0.0002(3)
OdmU331 0.0000(3) 0.0011(3)
OdmU121 -0.0007(2) 0.0000(2)
OdmU131 -0.0009(2) -0.0007(2)
OdmU231 -0.0015(2) -0.0008(2)
OdmU112 -0.0002(3) 0.0000(3)
OdmU222 0.0039(3) 0.0003(3)
OdmU332 0.0015(3) -0.0006(3)
OdmU122 0.0002(2) 0.0002(2)
OdmU132 0.0003(3) -0.0002(3)
OdmU232 -0.0011(2) 0.0001(2)