β-Technetium Dichloride: Solid-State Modulated Structure, Electronic Structure, and Physical Properties

Authors:

Malliakas, Christos D.; Poineau, Frederic; Johnstone, Erik V.; Weck, Philippe F.; Kim, Eunja; Scott, Brian L.; Forster, Paul M.; Kanatzidis, Mercouri G.; Czerwinski, Kenneth R.; Sattelberger, Alfred P.

Journal:

Journal of the American Chemical Society 135 15955-15962 (2013)

DOI:

https://dx.doi.org/10.1021/ja408459k

B-IncStrDB ID: R5xfPuJjAD0 Entry date: 2022-01-10 Last revision: 2022-01-10

I

Chemical data


Structural Formula Sum: Cl2 Tc1 [ Help ]

Formula weight: 167.9 Da [ Help ]

Crystallographic data and experimental details


Crystal system: monoclinic [ Help ]

Superspace group name: I2/m(1/21/2γ)s0 [ Help ]

Symmetry operations of the superspace group: [ Help ]

Operation code Operation in algebraic form
1 x1,x2,x3,x4
2 -x1,-x2,x3,-x1-x2+x4+1/2
3 -x1,-x2,-x3,-x4
4 x1,x2,-x3,x1+x2-x4+1/2
5 x1+1/2,x2+1/2,x3+1/2,x4
6 -x1+1/2,-x2+1/2,x3+1/2,-x1-x2+x4+1/2
7 -x1+1/2,-x2+1/2,-x3+1/2,-x4
8 x1+1/2,x2+1/2,-x3+1/2,x1+x2-x4+1/2

a: 8.5908(14) Å [ Help ]

b: 8.5908(14) Å [ Help ]

c: 3.4251(6) Å [ Help ]

α: 90 ° [ Help ]

β: 90 ° [ Help ]

γ: 90 ° [ Help ]

Volume: 252.78(7) Å3 [ Help ]

Modulation dimension: 1 [ Help ]

Measured independent wave vectors: [ Help ]

Wave vector id q_x q_y q_z
1 0.500000 0.500000 0.250000

Z: 4 [ Help ]

Cell determination reflection Nb.: 7782 [ Help ]

θ(min) for cell determination: 3.24 ° [ Help ]

θ(max) for cell determination: 35.24 ° [ Help ]

Cell measurement temperature: 100 K [ Help ]

μ: 7.399 mm-1 [ Help ]

Absorption correction type: integration [ Help ]

Absorption correction remarks: X-Shape2 [ Help ]

Minimum transmission factor: 0.3403 [ Help ]

Maximum transmission factor: 0.8447 [ Help ]

Refinement details


Total nb. of reflections: 1610 [ Help ]

Nb. of observed reflections: 1445 [ Help ]

Intense reflections threshold: I>2σ(I) [ Help ]

Refinement based on: Fsqd [ Help ]

R(obs): 0.0787 [ Help ]

wR(obs): 0.2114 [ Help ]

R(all): 0.0900 [ Help ]

wR(all): 0.2211 [ Help ]

S(all): 1.99 [ Help ]

S(obs): 2.01 [ Help ]

Nb. of reflections: 1610 [ Help ]

Nb. of parameters: 55 [ Help ]

Number of restraints: 0 [ Help ]

Number of constraints: 20 [ Help ]

Weighting scheme: sigma [ Help ]

Weighting scheme remarks: w=1/(σ2(I)+0.0064I2) [ Help ]

Δ/σ(max): 0.0464 [ Help ]

Δ/σ(mean): 0.0111 [ Help ]

Δρ(max): 8.92 e_Å-3 [ Help ]

Δρ(min): -5.98 e_Å-3 [ Help ]

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

Extinction coefficient: 3300(400) [ 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
Tc1 Tc 0.10744(17) 0.43681(18) 0 Uani 0.0141(4) 8 0.25 d . . .
Tc2 Tc -0.06279(15) 0.39314(15) 0 Uani 0.0141(4) 8 0.25 d . . .
Cl1 Cl 0.0662(3) 0.2459(3) 0.5 Uani 0.0072(6) 4 1 d . . .
Cl2 Cl 0.2540(3) 0.5655(3) 0.5 Uani 0.0075(6) 4 1 d . . .

ADP components: [ Help ]

Atom site label Atom site symbol U11 U22 U33 U12 U13 U23
Tc1 Tc 0.0155(8) 0.0133(8) 0.0135(7) -0.0018(6) 0.002(2) -0.004(2)
Tc2 Tc 0.0155(8) 0.0133(8) 0.0135(7) -0.0018(6) 0.002(2) -0.004(2)
Cl1 Cl 0.0087(11) 0.0066(12) 0.0062(9) 0.0014(9) 0 0
Cl2 Cl 0.0064(11) 0.0092(12) 0.0070(10) -0.0001(9) 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

Definition of ortho-harmonics in crenel intervals: [ Help ]

Ortho set id Center (x0) Width Completeness
1 0.020000 0.500000 0.950000
2 0.420000 0.500000 0.950000

Occupation crenel coefficients: [ Help ]

Atom site label Center (x0) Width
Tc1 0.02 0.5
Tc2 0.42 0.5

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

Modulation code Atom site label Displacement axis Wave vector code
Cl1x1 Cl1 x 1
Cl1y1 Cl1 y 1
Cl1z1 Cl1 z 1
Cl2x1 Cl2 x 1
Cl2y1 Cl2 y 1
Cl2z1 Cl2 z 1

Displacive (translational) Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Cl1x1 0.0017(4) -0.0011(2)
Cl1y1 -0.0008(3) 0.0006(2)
Cl1z1 0.0071(5) 0.0106(8)
Cl2x1 0.0012(2) 0.0019(4)
Cl2y1 0.0019(2) 0.0030(3)
Cl2z1 -0.0143(8) 0.0091(5)

Definition of the ADP Fourier series: [ Help ]

Modulation code Atom site label Tensor element Wave vector code
Cl1U111 Cl1 U11 1
Cl1U221 Cl1 U22 1
Cl1U331 Cl1 U33 1
Cl1U121 Cl1 U12 1
Cl1U131 Cl1 U13 1
Cl1U231 Cl1 U23 1
Cl2U111 Cl2 U11 1
Cl2U221 Cl2 U22 1
Cl2U331 Cl2 U33 1
Cl2U121 Cl2 U12 1
Cl2U131 Cl2 U13 1
Cl2U231 Cl2 U23 1

ADP Fourier coefficients: [ Help ]

Modulation code Cosine coefficient Sine coefficient
Cl1U111 0.0039(13) -0.0026(8)
Cl1U221 -0.0002(10) 0.0001(6)
Cl1U331 0.0028(10) -0.0019(7)
Cl1U121 -0.0020(8) 0.0013(6)
Cl1U131 0.0016(6) 0.0024(8)
Cl1U231 -0.0012(5) -0.0018(7)
Cl2U111 0.0003(8) 0.0004(13)
Cl2U221 0.0002(7) 0.0002(10)
Cl2U331 0.0028(7) 0.0045(10)
Cl2U121 -0.0012(5) -0.0019(8)
Cl2U131 -0.0029(8) 0.0018(5)
Cl2U231 -0.0020(8) 0.0013(5)

ADP ortho-harmonics coefficients: [ Help ]

Atom site label Tensor element Ortho set id Ortho set order Ortho set coefficient
Tc1 U11 1 1 -0.0098(8)
Tc1 U22 1 1 -0.0078(10)
Tc1 U33 1 1 -0.0073(8)
Tc1 U12 1 1 0.0026(6)
Tc1 U13 1 1 -0.0010(8)
Tc1 U23 1 1 0.0001(7)
Tc1 U11 1 2 0.0194(11)
Tc1 U22 1 2 0.0166(11)
Tc1 U33 1 2 0.0191(7)
Tc1 U12 1 2 -0.0016(10)
Tc1 U13 1 2 0.0020(15)
Tc1 U23 1 2 -0.0021(13)
Tc2 U11 2 1 -0.0098(8)
Tc2 U22 2 1 -0.0078(10)
Tc2 U33 2 1 -0.0073(8)
Tc2 U12 2 1 0.0026(6)
Tc2 U13 2 1 -0.0010(8)
Tc2 U23 2 1 0.0001(7)
Tc2 U11 2 2 0.0194(11)
Tc2 U22 2 2 0.0166(11)
Tc2 U33 2 2 0.0191(7)
Tc2 U12 2 2 -0.0016(10)
Tc2 U13 2 2 0.0020(15)
Tc2 U23 2 2 -0.0021(13)