Modulated one-dimensional structure of [Cd(NH3)3Ni(CN)4]

Authors:

Petricek, Vaclav; Dusek, Michal; Cernak, Juraj

Journal:

Acta Crystallographica, Section B 61 280-286 (2005)

DOI:

https://doi.org/10.1107/S0108768105012632

B-IncStrDB ID: 3472EYKknk Entry date: 2010-11-10 Last revision: 2022-01-02

CdNi

Chemical data


Structural Formula Sum: C4 H9 Cd1 N7 Ni1 [ Help ]

Formula weight: 326.3 Da [ Help ]

Crystallographic data and experimental details


Crystal system: monoclinic [ Help ]

Superspace group name: C2/c(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+1/2,-x4+1/2
3 -x1,-x2,-x3,-x4
4 x1,-x2,x3+1/2,x4+1/2
5 x1+1/2,x2+1/2,x3,x4
6 -x1+1/2,x2+1/2,-x3+1/2,-x4+1/2
7 -x1+1/2,-x2+1/2,-x3,-x4
8 x1+1/2,-x2+1/2,x3+1/2,x4+1/2

a: 8.4867(14) Å [ Help ]

b: 15.951(3) Å [ Help ]

c: 7.604(3) Å [ Help ]

α: 90 ° [ Help ]

β: 90.48(2) ° [ Help ]

γ: 90 ° [ Help ]

Volume: 1029.3(4) Å3 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.4365 0 0.1307

Z: 4 [ Help ]

Cell determination reflection Nb.: 30 [ Help ]

θ(min) for cell determination: 9.08 ° [ Help ]

θ(max) for cell determination: 16.29 ° [ Help ]

Cell measurement temperature: 260.0(10) K [ Help ]

μ: 3.862 mm-1 [ Help ]

Absorption correction type: gaussian [ Help ]

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

Minimum transmission factor: 0.660 [ Help ]

Maximum transmission factor: 0.807 [ Help ]

Refinement details


Total nb. of reflections: 7894 [ Help ]

Nb. of observed reflections: 3496 [ Help ]

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

Refinement based on: F [ Help ]

R(obs): 0.0371 [ Help ]

wR(obs): 0.0425 [ Help ]

R(all): 0.0371 [ Help ]

wR(all): 0.0425 [ Help ]

S(all): 1.78 [ Help ]

Nb. of reflections: 3496 [ Help ]

Nb. of parameters: 275 [ Help ]

Weighting scheme: sigma [ Help ]

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

Refinement of hydrogen atoms: constr [ Help ]

Δ/σ(max): 0.0000 [ Help ]

Δ/σ(mean): 0.0000 [ Help ]

Δρ(max): 0.95 e_Å-3 [ Help ]

Δρ(min): -0.99 e_Å-3 [ Help ]

Extinction method: none [ Help ]

Structural Information


Average Structure: [ Help ]

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 Atom symbol
Cd1 1 0.20155(4) 0.25 0.0247(2) Uani d . 1 . . Cd
Cd2 1 0.14519(4) 0.25 0.0367(2) Uani d . 1 . . Cd
Ni 0.5 -0.01073(3) 0.25 0.02530(17) Uani d . 1 . . Ni
C1 0.6550(4) 0.07102(18) 0.2481(4) 0.0282(9) Uani d . 1 . . C
N1 0.7525(3) 0.12053(17) 0.2469(4) 0.0371(9) Uani d . 1 . . N
C2 0.6550(4) -0.09278(19) 0.2478(4) 0.0311(10) Uani d . 1 . . C
N2 0.7485(4) -0.1440(2) 0.2471(4) 0.0455(11) Uani d . 1 . . N
N4 0.9962(6) 0.0300(3) 0.4583(7) 0.0480(16) Uani d . 1 . . N
N3 0.9982(4) 0.23658(17) -0.0019(4) 0.0381(9) Uani d . 1 . . N
H31 0.921(4) 0.209(3) -0.036(7) 0.149(16) Uiso d . 1 . . H
H32 1.081(4) 0.217(3) -0.046(7) 0.149(16) Uiso d . 1 . . H
H33 0.987(7) 0.2854(14) -0.032(7) 0.149(16) Uiso d . 1 . . H

ADP components: [ Help ]

Atom site label U11 U22 U33 U12 U13 U23 Atom site symbol
Cd1 0.0283(6) 0.0237(3) 0.0221(3) 0 0.0006(3) 0 Cd
Cd2 0.0253(3) 0.0415(4) 0.0434(4) 0 -0.0008(2) 0 Cd
Ni 0.0195(3) 0.0215(3) 0.0350(3) 0 0.0007(2) 0 Ni
C1 0.0249(14) 0.0247(15) 0.0350(17) 0.0026(12) -0.0009(13) -0.0001(12) C
N1 0.0316(14) 0.0337(16) 0.0461(18) -0.0038(12) 0.0002(12) 0.0000(12) N
C2 0.0272(17) 0.0325(17) 0.0337(18) -0.0003(13) 0.0004(13) -0.0006(12) C
N2 0.0404(17) 0.045(2) 0.0507(19) 0.0115(15) 0.0001(14) 0.0012(15) N
N4 0.050(3) 0.047(2) 0.047(3) -0.0017(19) 0.001(2) 0.0165(19) N
N3 0.0392(17) 0.0393(15) 0.0358(16) 0.0007(12) 0.0003(13) 0.0026(12) N

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 0.4365 0 0.1307
2 0.873 0 0.2614
3 1.3095 0 0.3921

Occupation crenel coefficients: [ Help ]

Atom site label Center (x0) Width
Cd1 0.25 0.4365
Cd2 0.75 0.5635
N4 0.7438(16) 0.5

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

Modulation code Atom site label Displacement axis Wave vector code
Nix1 Ni x 1
Niy1 Ni y 1
Niz1 Ni z 1
Nix2 Ni x 2
Niy2 Ni y 2
Niz2 Ni z 2
C1x1 C1 x 1
C1y1 C1 y 1
C1z1 C1 z 1
C1x2 C1 x 2
C1y2 C1 y 2
C1z2 C1 z 2
N1x1 N1 x 1
N1y1 N1 y 1
N1z1 N1 z 1
N1x2 N1 x 2
N1y2 N1 y 2
N1z2 N1 z 2
C2x1 C2 x 1
C2y1 C2 y 1
C2z1 C2 z 1
C2x2 C2 x 2
C2y2 C2 y 2
C2z2 C2 z 2
C2x3 C2 x 3
C2y3 C2 y 3
C2z3 C2 z 3
N2x1 N2 x 1
N2y1 N2 y 1
N2z1 N2 z 1
N2x2 N2 x 2
N2y2 N2 y 2
N2z2 N2 z 2
N2x3 N2 x 3
N2y3 N2 y 3
N2z3 N2 z 3
N3x1 N3 x 1
N3y1 N3 y 1
N3z1 N3 z 1
N3x2 N3 x 2
N3y2 N3 y 2
N3z2 N3 z 2
N3x3 N3 x 3
N3y3 N3 y 3
N3z3 N3 z 3
H31x1 H31 x 1
H31y1 H31 y 1
H31z1 H31 z 1
H31x2 H31 x 2
H31y2 H31 y 2
H31z2 H31 z 2
H31x3 H31 x 3
H31y3 H31 y 3
H31z3 H31 z 3
H32x1 H32 x 1
H32y1 H32 y 1
H32z1 H32 z 1
H32x2 H32 x 2
H32y2 H32 y 2
H32z2 H32 z 2
H32x3 H32 x 3
H32y3 H32 y 3
H32z3 H32 z 3
H33x1 H33 x 1
H33y1 H33 y 1
H33z1 H33 z 1
H33x2 H33 x 2
H33y2 H33 y 2
H33z2 H33 z 2
H33x3 H33 x 3
H33y3 H33 y 3
H33z3 H33 z 3

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Nix1 0.0077(3) 0
Niy1 0 -0.0095(5)
Niz1 -0.0006(5) 0
Nix2 0 -0.0073(2)
Niy2 0.0009(9) 0
Niz2 0 -0.0002(3)
C1x1 0.0081(14) 0.003(8)
C1y1 0.0006(8) -0.0111(4)
C1z1 -0.003(2) 0.0001(11)
C1x2 0.0082(9) -0.0056(9)
C1y2 0.0005(5) 0.001(5)
C1z2 0.0004(14) -0.0019(14)
N1x1 0.0085(11) 0.0087(10)
N1y1 0.0033(6) -0.011(5)
N1z1 -0.0064(16) -0.0004(13)
N1x2 0.0133(10) 0.0001(7)
N1y2 -0.001(5) -0.0003(4)
N1z2 0.0004(14) -0.0037(10)
C2x1 0.0173(5) 0.0025(5)
C2y1 -0.0021(3) -0.0132(3)
C2z1 0.0034(6) 0.0017(6)
C2x2 -0.0013(8) 0.0021(9)
C2y2 0.0029(4) -0.0008(4)
C2z2 -0.0015(11) 0.0021(12)
C2x3 0.0017(11) -0.0057(10)
C2y3 0.0023(5) 0.002(5)
C2z3 0.0029(14) 0.0006(13)
N2x1 0.0135(5) -0.0085(5)
N2y1 0.0008(3) -0.0206(3)
N2z1 0.0006(6) 0.0017(6)
N2x2 0.0059(7) 0.0012(8)
N2y2 0.0047(4) 0.0002(5)
N2z2 -0.0019(9) 0.0007(11)
N2x3 0.0022(9) 0.0036(9)
N2y3 0.0002(5) 0.0065(5)
N2z3 0.0009(11) 0.0008(11)
N3x1 0.0048(4) -0.0016(5)
N3y1 0.0047(2) -0.0022(3)
N3z1 -0.0151(5) -0.0309(5)
N3x2 -0.0036(7) -0.0043(7)
N3y2 0(4) 0.0003(4)
N3z2 0.0007(9) -0.0026(8)
N3x3 0(9) -0.0027(8)
N3y3 0.0025(4) -0.0004(4)
N3z3 -0.006(10) -0.007(10)
H31x1 -0.002(4) 0.001(4)
H31y1 0.013(3) -0.01(3)
H31z1 -0.035(8) -0.017(7)
H31x2 -0.002(2) -0.004(2)
H31y2 -0.005(2) 0.002(2)
H31z2 0.006(4) -0.008(4)
H31x3 -0.0023(12) -0.0015(12)
H31y3 0.0005(11) -0.001(10)
H31z3 -0.0079(16) 0.0002(16)
H32x1 0.001(3) 0.001(4)
H32y1 0.003(3) -0.008(3)
H32z1 -0.014(7) -0.018(7)
H32x2 0.0004(16) -0.0053(16)
H32y2 0.001(15) 0.0012(15)
H32z2 0.002(2) -0.004(2)
H32x3 0.0015(11) -0.0016(11)
H32y3 0.0025(7) 0.0015(7)
H32z3 -0.001(12) -0.0087(12)
H33x1 0.022(7) 0(7)
H33y1 0.0078(13) -0.0042(10)
H33z1 0.001(9) -0.059(8)
H33x2 -0.014(4) -0.005(4)
H33y2 -0.0011(10) 0.0016(10)
H33z2 -0.01(4) -0.001(4)
H33x3 -0.002(19) -0.0029(19)
H33y3 0.0029(7) -0.0014(6)
H33z3 -0.0082(18) -0.007(18)

Displacive (translational) Legendre coefficients: [ Help ]

Atom site label Displacement axis Polynomial order Polynomial coeff.
Cd1 x 1 -0.01989(18)
Cd1 y 1 0
Cd1 z 1 0.015(2)
Cd1 x 2 0
Cd1 y 2 0.0011(2)
Cd1 z 2 0
Cd1 x 3 0.0094(8)
Cd1 y 3 0
Cd1 z 3 0.0073(8)
Cd1 x 4 0
Cd1 y 4 0.0017(7)
Cd1 z 4 0
Cd2 x 1 0.02793(17)
Cd2 y 1 0
Cd2 z 1 -0.0246(2)
Cd2 x 2 0
Cd2 y 2 0.00773(18)
Cd2 z 2 0
Cd2 x 3 0.0047(4)
Cd2 y 3 0
Cd2 z 3 -0.0124(5)
Cd2 x 4 0
Cd2 y 4 -0.0035(3)
Cd2 z 4 0
N4 x 1 0.0085(12)
N4 y 1 -0.001(6)
N4 z 1 0.0042(13)
N4 x 2 -0.007(2)
N4 y 2 -0.0031(11)
N4 z 2 -0.007(3)

Displacive sawtooth coefficients: [ Help ]

Atom site label Ax Ay Az Center (x0) Width
Ni 0.0352(4) 0 0.0078(8) 0.75 1
C1 0.051(2) -0.0031(13) 0.008(3) 0.81745(17) 1
N1 0.056(2) -0.0072(11) 0.01(3) 0.86005(16) 1

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
NiU111 Ni U11 1
NiU221 Ni U22 1
NiU331 Ni U33 1
NiU121 Ni U12 1
NiU131 Ni U13 1
NiU231 Ni U23 1

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
NiU111 0 -0.0029(6)
NiU221 0 -0.0008(4)
NiU331 0 -0.0001(5)
NiU121 -0.0022(3) 0
NiU131 0 -0.0004(5)
NiU231 0.0017(3) 0

ADP Legendre coefficients: [ Help ]

Atom site label Tensor element Polynomial order Polynomial coeff.
Cd1 U11 1 0
Cd1 U22 1 0
Cd1 U33 1 0
Cd1 U12 1 0.005(7)
Cd1 U13 1 0
Cd1 U23 1 -0.0051(7)
Cd1 U11 2 -0.002(2)
Cd1 U22 2 -0.0058(16)
Cd1 U33 2 -0.0069(18)
Cd1 U12 2 0
Cd1 U13 2 -0.006(16)
Cd1 U23 2 0
Cd1 U11 3 0
Cd1 U22 3 0
Cd1 U33 3 0
Cd1 U12 3 0.015(2)
Cd1 U13 3 0
Cd1 U23 3 -0.012(2)
Cd1 U11 4 0.057(5)
Cd1 U22 4 -0.013(5)
Cd1 U33 4 0.006(6)
Cd1 U12 4 0
Cd1 U13 4 -0.002(4)
Cd1 U23 4 0
Cd2 U11 1 0
Cd2 U22 1 0
Cd2 U33 1 0
Cd2 U12 1 0.0059(6)
Cd2 U13 1 0
Cd2 U23 1 -0.0337(9)
Cd2 U11 2 0.0033(12)
Cd2 U22 2 0.0242(16)
Cd2 U33 2 0.0299(16)
Cd2 U12 2 0
Cd2 U13 2 -0.0017(11)
Cd2 U23 2 0
Cd2 U11 3 0
Cd2 U22 3 0
Cd2 U33 3 0
Cd2 U12 3 0.0041(12)
Cd2 U13 3 0
Cd2 U23 3 -0.018(16)
Cd2 U11 4 0.008(3)
Cd2 U22 4 -0.052(4)
Cd2 U33 4 -0.011(3)
Cd2 U12 4 0
Cd2 U13 4 0.006(2)
Cd2 U23 4 0