Structural Impact of Platinum on the Incommensurably Modulated γ-Brass Related Composite Structure Pd15Zn54

Authors:

Jana, Partha Pratim; Lidin, Sven

Journal:

Inorganic Chemistry 51 9893-9901 (2012)

DOI:

https://doi.org/10.1021/ic301326p

B-IncStrDB ID: Pcz7PTFpigD Entry date: 2015-02-19 Last revision: 2024-01-02

II

Chemical data


Structural Formula Sum: Pd2.496 Pm3.965 Pt1.504 Zn26.546 [ Help ]

Formula weight: 2869.5 Da [ Help ]

Absolute configuration: . [ Help ]

Crystallographic data and experimental details


Crystal system: orthorhombic [ Help ]

Superspace group name: Fmmm(α00)0s0 [ 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,x2,-x3,-x4+1/2
4 x1,-x2,-x3,x4+1/2
5 -x1,-x2,-x3,-x4
6 x1,x2,-x3,x4
7 x1,-x2,x3,x4+1/2
8 -x1,x2,x3,-x4+1/2
9 x1,x2+1/2,x3+1/2,x4
10 -x1,-x2+1/2,x3+1/2,-x4
11 -x1,x2+1/2,-x3+1/2,-x4+1/2
12 x1,-x2+1/2,-x3+1/2,x4+1/2
13 -x1,-x2+1/2,-x3+1/2,-x4
14 x1,x2+1/2,-x3+1/2,x4
15 x1,-x2+1/2,x3+1/2,x4+1/2
16 -x1,x2+1/2,x3+1/2,-x4+1/2
17 x1+1/2,x2,x3+1/2,x4
18 -x1+1/2,-x2,x3+1/2,-x4
19 -x1+1/2,x2,-x3+1/2,-x4+1/2
20 x1+1/2,-x2,-x3+1/2,x4+1/2
21 -x1+1/2,-x2,-x3+1/2,-x4
22 x1+1/2,x2,-x3+1/2,x4
23 x1+1/2,-x2,x3+1/2,x4+1/2
24 -x1+1/2,x2,x3+1/2,-x4+1/2
25 x1+1/2,x2+1/2,x3,x4
26 -x1+1/2,-x2+1/2,x3,-x4
27 -x1+1/2,x2+1/2,-x3,-x4+1/2
28 x1+1/2,-x2+1/2,-x3,x4+1/2
29 -x1+1/2,-x2+1/2,-x3,-x4
30 x1+1/2,x2+1/2,-x3,x4
31 x1+1/2,-x2+1/2,x3,x4+1/2
32 -x1+1/2,x2+1/2,x3,-x4+1/2

a: 4.2837(11) Å [ Help ]

b: 9.151(2) Å [ Help ]

c: 12.948(4) Å [ Help ]

α: 90 ° [ Help ]

β: 90 ° [ Help ]

γ: 90 ° [ Help ]

Volume: 507.6(2) Å3 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.627700 0.000000 0.000000

Number of subsystems: 2 [ Help ]

Subsystem code: 1 [ Help ]

Subsystem description: 1st subsystem [ Help ]

W matrix:

1.0 0.0 0.0 0.0
0.0 1.0 0.0 0.0
0.0 0.0 1.0 0.0
0.0 0.0 0.0 1.0

Subsystem code: 2 [ Help ]

Subsystem description: 2nd subsystem [ Help ]

W matrix:

1.0 0.0 0.0 1.0
0.0 1.0 0.0 0.0
0.0 0.0 1.0 0.0
0.0 0.0 0.0 1.0

Z: 1 [ Help ]

Cell determination reflection Nb.: 4679 [ Help ]

θ(min) for cell determination: 2.98 ° [ Help ]

θ(max) for cell determination: 29.12 ° [ Help ]

Cell measurement temperature: 293 K [ Help ]

μ: 53.65 mm-1 [ Help ]

Absorption correction type: multi-scan [ Help ]

Absorption correction remarks: CrysAlisPro, Agilent Technologies, Version 1.171.35.6 (release 27-01-2011 CrysAlis171 .NET) (compiled Jan 27 2011,13:34:29) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm. [ Help ]

Minimum transmission factor: 0.207 [ Help ]

Maximum transmission factor: 1 [ Help ]

Refinement details


Total nb. of reflections: 1145 [ Help ]

Nb. of observed reflections: 984 [ Help ]

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

Refinement based on: Fsqd [ Help ]

R(obs): 0.0335 [ Help ]

wR(obs): 0.0878 [ Help ]

R(all): 0.0391 [ Help ]

wR(all): 0.0900 [ Help ]

S(all): 2.09 [ Help ]

S(obs): 2.21 [ Help ]

Nb. of reflections: 1145 [ Help ]

Nb. of parameters: 79 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 48 [ Help ]

Weighting scheme: sigma [ Help ]

Weighting scheme remarks: w=1/(σ2(I)+0.0004I2) [ Help ]

Δ/σ(max): 0.0234 [ Help ]

Δ/σ(mean): 0.0046 [ Help ]

Δρ(max): 4.01 e_Å-3 [ Help ]

Δρ(min): -3.82 e_Å-3 [ Help ]

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

Extinction coefficient: 354(18) [ 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 Subsystem
Pt1 Pt 0.5 0 0 Uani 0.0091(2) 4 0.376(6) d . . . 1
Pd1 Pd 0.5 0 0 Uani 0.0091(2) 4 0.624(6) d . . . 1
Pm2 Pm 0.5 0.15108(6) 0.17957(4) Uani 0.0133(2) 16 0.248(4) d . . . 1
Zn2 Zn 0.5 0.15108(6) 0.17957(4) Uani 0.0133(2) 16 0.752(4) d . . . 1
Zn1 Zn 0 0 0.12342(7) Uani 0.0156(3) 8 1 d . . . 1
Zn3 Zn 0.75 0.25 0 Uani 0.0149(3) 4 1 d . . . 2

ADP components: [ Help ]

Atom site label Atom site symbol U11 U22 U33 U12 U13 U23
Pt1 Pt 0.0103(4) 0.0081(4) 0.0088(4) 0 0 0
Pd1 Pd 0.0103(4) 0.0081(4) 0.0088(4) 0 0 0
Pm2 Pm 0.0150(4) 0.0126(4) 0.0124(4) 0 0 -0.00358(19)
Zn2 Zn 0.0150(4) 0.0126(4) 0.0124(4) 0 0 -0.00358(19)
Zn1 Zn 0.0105(5) 0.0176(5) 0.0186(5) 0 0 0
Zn3 Zn 0.0183(6) 0.0114(5) 0.0149(6) 0 0 0

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
3 3

Definition of the occupation Fourier series: [ Help ]

Modulation code Atom site label Wave vector code
Pt1o1 Pt1 1
Pt1o2 Pt1 2
Pt1o3 Pt1 3
Pd1o1 Pd1 1
Pd1o2 Pd1 2
Pd1o3 Pd1 3
Pm2o1 Pm2 1
Pm2o2 Pm2 2
Pm2o3 Pm2 3
Zn2o1 Zn2 1
Zn2o2 Zn2 2
Zn2o3 Zn2 3

Occupation Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Pt1o1 0 0
Pt1o2 0.335(5) 0
Pt1o3 0 0
Pd1o1 0 0
Pd1o2 -0.335(5) 0
Pd1o3 0 0
Pm2o1 0 -0.420(4)
Pm2o2 -0.276(3) 0
Pm2o3 0 0.121(2)
Zn2o1 0 0.420(4)
Zn2o2 0.276(3) 0
Zn2o3 0 -0.121(2)

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

Modulation code Atom site label Displacement axis Wave vector code
Pt1x1 Pt1 x 1
Pt1y1 Pt1 y 1
Pt1z1 Pt1 z 1
Pt1x2 Pt1 x 2
Pt1y2 Pt1 y 2
Pt1z2 Pt1 z 2
Pt1x3 Pt1 x 3
Pt1y3 Pt1 y 3
Pt1z3 Pt1 z 3
Pd1x1 Pd1 x 1
Pd1y1 Pd1 y 1
Pd1z1 Pd1 z 1
Pd1x2 Pd1 x 2
Pd1y2 Pd1 y 2
Pd1z2 Pd1 z 2
Pd1x3 Pd1 x 3
Pd1y3 Pd1 y 3
Pd1z3 Pd1 z 3
Pm2x1 Pm2 x 1
Pm2y1 Pm2 y 1
Pm2z1 Pm2 z 1
Pm2x2 Pm2 x 2
Pm2y2 Pm2 y 2
Pm2z2 Pm2 z 2
Pm2x3 Pm2 x 3
Pm2y3 Pm2 y 3
Pm2z3 Pm2 z 3
Zn2x1 Zn2 x 1
Zn2y1 Zn2 y 1
Zn2z1 Zn2 z 1
Zn2x2 Zn2 x 2
Zn2y2 Zn2 y 2
Zn2z2 Zn2 z 2
Zn2x3 Zn2 x 3
Zn2y3 Zn2 y 3
Zn2z3 Zn2 z 3
Zn1x1 Zn1 x 1
Zn1y1 Zn1 y 1
Zn1z1 Zn1 z 1
Zn1x2 Zn1 x 2
Zn1y2 Zn1 y 2
Zn1z2 Zn1 z 2
Zn1x3 Zn1 x 3
Zn1y3 Zn1 y 3
Zn1z3 Zn1 z 3
Zn3x1 Zn3 x 1
Zn3y1 Zn3 y 1
Zn3z1 Zn3 z 1
Zn3x2 Zn3 x 2
Zn3y2 Zn3 y 2
Zn3z2 Zn3 z 2
Zn3x3 Zn3 x 3
Zn3y3 Zn3 y 3
Zn3z3 Zn3 z 3

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Pt1x1 0 0
Pt1y1 0 0.02462(10)
Pt1z1 0 0
Pt1x2 0 0.00319(17)
Pt1y2 0 0
Pt1z2 0 0
Pt1x3 0 0
Pt1y3 0 0.00128(8)
Pt1z3 0 0
Pd1x1 0 0
Pd1y1 0 0.02462(10)
Pd1z1 0 0
Pd1x2 0 0.00319(17)
Pd1y2 0 0
Pd1z2 0 0
Pd1x3 0 0
Pd1y3 0 0.00128(8)
Pd1z3 0 0
Pm2x1 -0.0673(2) 0
Pm2y1 0 -0.01914(8)
Pm2z1 0 0.00348(5)
Pm2x2 0 -0.01341(16)
Pm2y2 0.00522(7) 0
Pm2z2 -0.00311(5) 0
Pm2x3 0.00616(17) 0
Pm2y3 0 0.00480(7)
Pm2z3 0 -0.00145(5)
Zn2x1 -0.0673(2) 0
Zn2y1 0 -0.01914(8)
Zn2z1 0 0.00348(5)
Zn2x2 0 -0.01341(16)
Zn2y2 0.00522(7) 0
Zn2z2 -0.00311(5) 0
Zn2x3 0.00616(17) 0
Zn2y3 0 0.00480(7)
Zn2z3 0 -0.00145(5)
Zn1x1 0 0
Zn1y1 0 0.05153(13)
Zn1z1 0 0
Zn1x2 0 0.0128(3)
Zn1y2 0 0
Zn1z2 0.00838(9) 0
Zn1x3 0 0
Zn1y3 0 0.00324(15)
Zn1z3 0 0
Zn3x1 0 0
Zn3y1 0 0.05653(14)
Zn3z1 0 0
Zn3x2 0 -0.0378(5)
Zn3y2 0 0
Zn3z2 0 0
Zn3x3 0 0
Zn3y3 0 0.00185(13)
Zn3z3 0 0

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
Pt1U111 Pt1 U11 1
Pt1U221 Pt1 U22 1
Pt1U331 Pt1 U33 1
Pt1U121 Pt1 U12 1
Pt1U131 Pt1 U13 1
Pt1U231 Pt1 U23 1
Pt1U112 Pt1 U11 2
Pt1U222 Pt1 U22 2
Pt1U332 Pt1 U33 2
Pt1U122 Pt1 U12 2
Pt1U132 Pt1 U13 2
Pt1U232 Pt1 U23 2
Pt1U113 Pt1 U11 3
Pt1U223 Pt1 U22 3
Pt1U333 Pt1 U33 3
Pt1U123 Pt1 U12 3
Pt1U133 Pt1 U13 3
Pt1U233 Pt1 U23 3
Pd1U111 Pd1 U11 1
Pd1U221 Pd1 U22 1
Pd1U331 Pd1 U33 1
Pd1U121 Pd1 U12 1
Pd1U131 Pd1 U13 1
Pd1U231 Pd1 U23 1
Pd1U112 Pd1 U11 2
Pd1U222 Pd1 U22 2
Pd1U332 Pd1 U33 2
Pd1U122 Pd1 U12 2
Pd1U132 Pd1 U13 2
Pd1U232 Pd1 U23 2
Pd1U113 Pd1 U11 3
Pd1U223 Pd1 U22 3
Pd1U333 Pd1 U33 3
Pd1U123 Pd1 U12 3
Pd1U133 Pd1 U13 3
Pd1U233 Pd1 U23 3
Pm2U111 Pm2 U11 1
Pm2U221 Pm2 U22 1
Pm2U331 Pm2 U33 1
Pm2U121 Pm2 U12 1
Pm2U131 Pm2 U13 1
Pm2U231 Pm2 U23 1
Pm2U112 Pm2 U11 2
Pm2U222 Pm2 U22 2
Pm2U332 Pm2 U33 2
Pm2U122 Pm2 U12 2
Pm2U132 Pm2 U13 2
Pm2U232 Pm2 U23 2
Pm2U113 Pm2 U11 3
Pm2U223 Pm2 U22 3
Pm2U333 Pm2 U33 3
Pm2U123 Pm2 U12 3
Pm2U133 Pm2 U13 3
Pm2U233 Pm2 U23 3
Zn2U111 Zn2 U11 1
Zn2U221 Zn2 U22 1
Zn2U331 Zn2 U33 1
Zn2U121 Zn2 U12 1
Zn2U131 Zn2 U13 1
Zn2U231 Zn2 U23 1
Zn2U112 Zn2 U11 2
Zn2U222 Zn2 U22 2
Zn2U332 Zn2 U33 2
Zn2U122 Zn2 U12 2
Zn2U132 Zn2 U13 2
Zn2U232 Zn2 U23 2
Zn2U113 Zn2 U11 3
Zn2U223 Zn2 U22 3
Zn2U333 Zn2 U33 3
Zn2U123 Zn2 U12 3
Zn2U133 Zn2 U13 3
Zn2U233 Zn2 U23 3
Zn1U111 Zn1 U11 1
Zn1U221 Zn1 U22 1
Zn1U331 Zn1 U33 1
Zn1U121 Zn1 U12 1
Zn1U131 Zn1 U13 1
Zn1U231 Zn1 U23 1
Zn1U112 Zn1 U11 2
Zn1U222 Zn1 U22 2
Zn1U332 Zn1 U33 2
Zn1U122 Zn1 U12 2
Zn1U132 Zn1 U13 2
Zn1U232 Zn1 U23 2
Zn1U113 Zn1 U11 3
Zn1U223 Zn1 U22 3
Zn1U333 Zn1 U33 3
Zn1U123 Zn1 U12 3
Zn1U133 Zn1 U13 3
Zn1U233 Zn1 U23 3
Zn3U111 Zn3 U11 1
Zn3U221 Zn3 U22 1
Zn3U331 Zn3 U33 1
Zn3U121 Zn3 U12 1
Zn3U131 Zn3 U13 1
Zn3U231 Zn3 U23 1
Zn3U112 Zn3 U11 2
Zn3U222 Zn3 U22 2
Zn3U332 Zn3 U33 2
Zn3U122 Zn3 U12 2
Zn3U132 Zn3 U13 2
Zn3U232 Zn3 U23 2
Zn3U113 Zn3 U11 3
Zn3U223 Zn3 U22 3
Zn3U333 Zn3 U33 3
Zn3U123 Zn3 U12 3
Zn3U133 Zn3 U13 3
Zn3U233 Zn3 U23 3

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Pt1U111 0 0
Pt1U221 0 0
Pt1U331 0 0
Pt1U121 0.0012(2) 0
Pt1U131 0 0
Pt1U231 0 0
Pt1U112 -0.0014(5) 0
Pt1U222 -0.0007(4) 0
Pt1U332 0.0000(4) 0
Pt1U122 0 0
Pt1U132 0 0
Pt1U232 0 0
Pt1U113 0 0
Pt1U223 0 0
Pt1U333 0 0
Pt1U123 0.0005(3) 0
Pt1U133 0 0
Pt1U233 0 0
Pd1U111 0 0
Pd1U221 0 0
Pd1U331 0 0
Pd1U121 0.0012(2) 0
Pd1U131 0 0
Pd1U231 0 0
Pd1U112 -0.0014(5) 0
Pd1U222 -0.0007(4) 0
Pd1U332 0.0000(4) 0
Pd1U122 0 0
Pd1U132 0 0
Pd1U232 0 0
Pd1U113 0 0
Pd1U223 0 0
Pd1U333 0 0
Pd1U123 0.0005(3) 0
Pd1U133 0 0
Pd1U233 0 0
Pm2U111 0 0.0075(5)
Pm2U221 0 0.0025(4)
Pm2U331 0 0.0013(4)
Pm2U121 -0.0018(3) 0
Pm2U131 0.0027(3) 0
Pm2U231 0 -0.0021(3)
Pm2U112 -0.0012(5) 0
Pm2U222 0.0035(4) 0
Pm2U332 0.0000(4) 0
Pm2U122 0 -0.0009(3)
Pm2U132 0 0.0015(3)
Pm2U232 -0.0012(3) 0
Pm2U113 0 0.0012(5)
Pm2U223 0 0.0013(4)
Pm2U333 0 -0.0013(4)
Pm2U123 0.0012(3) 0
Pm2U133 0.0001(3) 0
Pm2U233 0 -0.0006(3)
Zn2U111 0 0.0075(5)
Zn2U221 0 0.0025(4)
Zn2U331 0 0.0013(4)
Zn2U121 -0.0018(3) 0
Zn2U131 0.0027(3) 0
Zn2U231 0 -0.0021(3)
Zn2U112 -0.0012(5) 0
Zn2U222 0.0035(4) 0
Zn2U332 0.0000(4) 0
Zn2U122 0 -0.0009(3)
Zn2U132 0 0.0015(3)
Zn2U232 -0.0012(3) 0
Zn2U113 0 0.0012(5)
Zn2U223 0 0.0013(4)
Zn2U333 0 -0.0013(4)
Zn2U123 0.0012(3) 0
Zn2U133 0.0001(3) 0
Zn2U233 0 -0.0006(3)
Zn1U111 0 0
Zn1U221 0 0
Zn1U331 0 0
Zn1U121 0.0054(5) 0
Zn1U131 0 0
Zn1U231 0 -0.0063(5)
Zn1U112 0.0012(6) 0
Zn1U222 0.0032(7) 0
Zn1U332 -0.0028(6) 0
Zn1U122 0 0
Zn1U132 0 0.0039(5)
Zn1U232 0 0
Zn1U113 0 0
Zn1U223 0 0
Zn1U333 0 0
Zn1U123 0.0052(6) 0
Zn1U133 0 0
Zn1U233 0 0.0043(6)
Zn3U111 0 0
Zn3U221 0 0
Zn3U331 0 0
Zn3U121 -0.0087(6) 0
Zn3U131 0 0
Zn3U231 0 0
Zn3U112 0.0080(8) 0
Zn3U222 0.0041(6) 0
Zn3U332 -0.0029(6) 0
Zn3U122 0 0
Zn3U132 0 0
Zn3U232 0 0
Zn3U113 0 0
Zn3U223 0 0
Zn3U333 0 0
Zn3U123 0.0007(5) 0
Zn3U133 0 0
Zn3U233 0 0