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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: 2026-02-09

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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

Average occupancy: [ Help ]

Atom site label Occupancy
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)