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The structures of the monoclinic and the orthorhombic phases of type I langbeinite Tl2Cd2(SO4)3 have been determined at 121 and 85 K, respectively, by X-ray diffraction. A precise analysis of these structures shows the existence of some differences compared to langbeinites of type II. The monoclinic structure differs very little from the high-temperature cubic structure and the distortion relating the monoclinic structure to the cubic one is very small. SO4 tetrahedra seem to rotate under orthorhombic symmetry in the monoclinic phase. A symmetry distortion analysis of the ferroelectric monoclinic distortion discloses the importance of the secondary modes with orthorhombic symmetry, especially for the O atoms of the SO4 groups.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S0108768100009514/na0103sup1.cif
Contains datablocks global, 121K, 85K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S0108768100009514/na0103121Ksup2.hkl
Contains datablock default

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S0108768100009514/na010385Ksup3.hkl
Contains datablock default

Computing details top

Data collection: DIF4 for 121K; CAD4VPC for (85K). Cell refinement: DIF4 for 121K; CAD4VPC for (85K). Data reduction: AVSORT, REDUCE, xtal_ABSORB for 121K; JANA98 for (85K). For both compounds, program(s) used to solve structure: JANA98; program(s) used to refine structure: JANA98; molecular graphics: ORTEP; software used to prepare material for publication: JANA98.

(121K) top
Crystal data top
Tl2Cd2(SO4)3F(000) = 1608
Mr = 921.7Dx = 5.515 Mg m3
Monoclinic, P1121Synchrotron radiation, λ = 0.5502 Å
Hall symbol: P 21Cell parameters from 27 reflections
a = 10.356 (4) Åθ = 7.4–29.2°
b = 10.350 (2) ŵ = 17.53 mm1
c = 10.353 (6) ÅT = 121 K
β = 90°Parallelepiped, colourless
V = 1109.7 (8) Å30.59 × 0.35 × 0.35 mm
Z = 4
Data collection top
Huber CAD-4 κ geometry
diffractometer
8392 reflections with I > 3σ(I)
θ/2θ scansθmax = 20.0°, θmin = 1.5°
Absorption correction: analytical
(Alcock, 1974)
h = 1212
Tmin = 0.009, Tmax = 0.046k = 1212
9312 measured reflectionsl = 1212
8392 independent reflections2 standard reflections every 20 min
Refinement top
Refinement on FWeighting scheme based on measured s.u.'s w = 1/σ2(F)
R[F2 > 2σ(F2)] = 0.044(Δ/σ)max = 0.001
wR(F2) = 0.064Δρmax = 2.43 e Å3
S = 13.78Δρmin = 1.86 e Å3
8392 reflectionsExtinction correction: B-C type 1 Gaussian isotropic
132 parametersExtinction coefficient: 0.182 (4)
Crystal data top
Tl2Cd2(SO4)3V = 1109.7 (8) Å3
Mr = 921.7Z = 4
Monoclinic, P1121Synchrotron radiation, λ = 0.5502 Å
a = 10.356 (4) ŵ = 17.53 mm1
b = 10.350 (2) ÅT = 121 K
c = 10.353 (6) Å0.59 × 0.35 × 0.35 mm
β = 90°
Data collection top
Huber CAD-4 κ geometry
diffractometer
8392 independent reflections
Absorption correction: analytical
(Alcock, 1974)
8392 reflections with I > 3σ(I)
Tmin = 0.009, Tmax = 0.0462 standard reflections every 20 min
9312 measured reflections
Refinement top
R[F2 > 2σ(F2)] = 0.044132 parameters
wR(F2) = 0.064Δρmax = 2.43 e Å3
S = 13.78Δρmin = 1.86 e Å3
8392 reflections
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Tl210.80235 (4)0.05287 (4)0.0437560.0136 (1)
Tl110.56739 (4)0.81699 (5)0.81002 (6)0.0144 (1)
Tl120.06866 (4)0.68261 (4)0.17413 (6)0.0149 (1)
Tl220.30273 (4)0.44800 (4)0.93967 (7)0.0145 (1)
Cd110.08851 (6)0.33194 (9)0.32064 (9)0.00722 (8)
Cd120.58546 (7)0.16893 (9)0.66497 (8)0.00957 (8)
Cd210.33856 (7)0.59002 (7)0.57932 (9)0.00526 (7)
Cd220.83717 (7)0.91000 (7)0.40177 (9)0.00797 (8)
S1a0.0298 (2)0.6217 (2)0.5043 (2)0.0046 (1)
O1a0.0582 (3)0.7173 (3)0.4514 (4)0.0130 (4)
O2a0.1604 (2)0.6676 (4)0.4767 (4)0.0054 (4)
O3a0.0059 (4)0.4974 (3)0.4361 (4)0.0118 (5)
O4a0.0049 (4)0.5999 (4)0.6455 (3)0.0154 (5)
S1b0.5331 (2)0.8839 (2)0.4799 (2)0.0046 (1)
O1b0.4452 (3)0.7855 (3)0.5279 (4)0.0130 (4)
O2b0.6637 (2)0.8377 (4)0.5066 (4)0.0054 (4)
O3b0.5080 (4)1.0049 (3)0.5533 (4)0.0118 (5)
O4b0.5091 (4)0.9117 (4)0.3397 (3)0.0154 (5)
S1c0.2647 (2)0.2710 (2)0.6201 (2)0.0046 (1)
O1c0.2257 (4)0.1843 (4)0.7233 (3)0.0130 (4)
O2c0.2252 (4)0.4008 (3)0.6593 (4)0.0054 (4)
O3c0.1942 (4)0.2321 (4)0.5011 (3)0.0118 (5)
O4c0.4065 (2)0.2596 (4)0.5928 (4)0.0154 (5)
S1d0.7626 (2)0.2300 (2)0.3648 (2)0.0046 (1)
O1d0.7322 (4)0.3210 (4)0.2625 (3)0.0130 (4)
O2d0.7187 (4)0.1033 (3)0.3205 (4)0.0054 (4)
O3d0.6891 (4)0.2692 (4)0.4818 (3)0.0118 (5)
O4d0.9036 (2)0.2339 (4)0.3982 (4)0.0154 (5)
S1e0.3767 (2)0.5145 (2)0.2718 (2)0.0046 (1)
O1e0.4782 (3)0.4691 (4)0.1864 (4)0.0130 (4)
O2e0.4319 (4)0.5181 (4)0.4018 (3)0.0054 (4)
O3e0.2692 (3)0.4192 (4)0.2669 (4)0.0118 (5)
O4e0.3244 (4)0.6423 (2)0.2277 (4)0.0154 (5)
S1f0.8772 (2)0.9859 (2)0.7125 (2)0.0046 (1)
O1f0.9815 (3)1.0335 (4)0.7933 (4)0.0130 (4)
O2f0.9290 (4)0.9755 (4)0.5816 (3)0.0054 (4)
O3f0.7713 (3)1.0830 (4)0.7157 (4)0.0118 (5)
O4f0.8239 (4)0.8610 (2)0.7636 (4)0.0154 (5)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Tl210.0150 (2)0.0118 (2)0.0139 (2)0.0065 (2)0.0011 (2)0.0005 (2)
Tl110.0134 (2)0.0177 (2)0.0121 (2)0.0051 (2)0.0017 (2)0.0004 (2)
Tl120.0148 (2)0.0160 (2)0.0140 (2)0.0061 (2)0.0009 (2)0.0020 (2)
Tl220.0160 (2)0.0126 (2)0.0147 (2)0.0057 (2)0.0005 (1)0.0003 (2)
S1a0.0035 (2)0.0056 (2)0.0046 (1)0.0001 (1)0.0002 (1)0.0017 (1)
O1a0.0094 (6)0.0119 (6)0.0178 (7)0.0010 (5)0.0071 (5)0.0009 (5)
O2a0.0024 (5)0.0013 (6)0.012 (1)0.0003 (4)0.0027 (7)0.0003 (7)
O3a0.014 (1)0.0086 (7)0.0124 (8)0.0013 (6)0.0040 (7)0.0012 (6)
O4a0.026 (1)0.0070 (7)0.0132 (7)0.0019 (7)0.0053 (6)0.0029 (5)
S1b0.0035 (2)0.0057 (2)0.0045 (1)0.0001 (1)0.0002 (1)0.0016 (1)
O1b0.0093 (6)0.0120 (6)0.0178 (7)0.0013 (5)0.0070 (5)0.0012 (5)
O2b0.0024 (5)0.0013 (6)0.012 (1)0.0001 (4)0.0028 (7)0.0008 (7)
O3b0.014 (1)0.0086 (7)0.0125 (8)0.0015 (6)0.0039 (7)0.0010 (6)
O4b0.026 (1)0.0067 (7)0.0134 (7)0.0016 (7)0.0053 (6)0.0025 (5)
S1c0.0044 (1)0.0035 (2)0.0057 (2)0.0002 (1)0.0016 (1)0.0002 (1)
O1c0.0191 (7)0.0081 (6)0.0119 (6)0.0061 (5)0.0010 (5)0.0014 (5)
O2c0.012 (1)0.0031 (5)0.0013 (6)0.0037 (7)0.0010 (7)0.0000 (4)
O3c0.0117 (8)0.015 (1)0.0087 (7)0.0037 (7)0.0009 (6)0.0018 (6)
O4c0.0124 (7)0.027 (1)0.0066 (7)0.0041 (6)0.0021 (5)0.0007 (7)
S1d0.0043 (1)0.0036 (2)0.0059 (2)0.0002 (1)0.0015 (1)0.0003 (1)
O1d0.0195 (7)0.0075 (6)0.0120 (6)0.0055 (5)0.0015 (5)0.0015 (5)
O2d0.011 (1)0.0034 (5)0.0014 (6)0.0041 (6)0.0013 (7)0.0002 (5)
O3d0.0115 (8)0.015 (1)0.0086 (7)0.0034 (7)0.0010 (6)0.0017 (6)
O4d0.0122 (7)0.028 (1)0.0065 (7)0.0033 (6)0.0019 (5)0.0012 (7)
S1e0.0062 (2)0.0040 (2)0.0035 (2)0.0013 (1)0.0000 (1)0.0001 (1)
O1e0.0128 (6)0.0148 (7)0.0115 (6)0.0019 (5)0.0027 (5)0.0076 (5)
O2e0.0019 (6)0.012 (1)0.0018 (5)0.0025 (6)0.0001 (5)0.0011 (6)
O3e0.0082 (7)0.0139 (9)0.013 (1)0.0001 (6)0.0020 (6)0.0037 (7)
O4e0.0062 (7)0.0162 (7)0.024 (1)0.0017 (5)0.0012 (7)0.0072 (6)
S1f0.0062 (2)0.0040 (2)0.0035 (2)0.0013 (1)0.0001 (1)0.0000 (1)
O1f0.0127 (6)0.0140 (7)0.0124 (6)0.0016 (5)0.0029 (5)0.0077 (5)
O2f0.0019 (6)0.012 (1)0.0017 (6)0.0027 (6)0.0002 (5)0.0006 (6)
O3f0.0083 (7)0.0143 (9)0.013 (1)0.0002 (6)0.0022 (6)0.0036 (7)
O4f0.0061 (7)0.0169 (7)0.023 (1)0.0014 (5)0.0005 (7)0.0076 (6)
Geometric parameters (Å, º) top
Tl21—O2ai3.000 (4)Cd12—O4bvi2.220 (4)
Tl21—O1bi3.066 (4)Cd12—O4c2.208 (3)
Tl21—O3bi3.270 (4)Cd12—O3d2.413 (4)
Tl21—O1cii3.092 (4)Cd12—O4evi2.260 (3)
Tl21—O3cii2.983 (4)Cd12—O3fxii2.185 (4)
Tl21—O2d3.039 (4)Cd21—O2a2.276 (3)
Tl21—O1fiii3.195 (4)Cd21—O1b2.365 (4)
Tl21—O2fiv2.825 (4)Cd21—O2c2.429 (3)
Tl11—O1b3.200 (4)Cd21—O1dvi2.232 (4)
Tl11—O3bv3.218 (4)Cd21—O1evi2.281 (4)
Tl11—O4bv2.934 (4)Cd21—O2e2.207 (3)
Tl11—O3cvi3.205 (4)Cd22—O1axiii2.328 (4)
Tl11—O4cvi3.045 (5)Cd22—O2b2.228 (3)
Tl11—O2dvi3.078 (4)Cd22—O1ci2.188 (4)
Tl11—O1evi3.259 (4)Cd22—O2dxiv2.494 (3)
Tl11—O3evi3.008 (4)Cd22—O1fxv2.265 (4)
Tl11—O4f2.737 (4)Cd22—O2f2.197 (3)
Tl12—O1a3.177 (4)S1a—O1a1.452 (4)
Tl12—O2a3.277 (4)S1a—O2a1.462 (3)
Tl12—O3avii3.184 (4)S1a—O3a1.488 (4)
Tl12—O4avii3.035 (4)S1a—O4a1.501 (4)
Tl12—O2cvii3.166 (4)S1b—O1b1.452 (4)
Tl12—O3di3.241 (4)S1b—O2b1.462 (3)
Tl12—O4di2.998 (5)S1b—O3b1.488 (4)
Tl12—O4e2.738 (4)S1b—O4b1.501 (4)
Tl12—O1fviii3.229 (4)S1c—O1c1.452 (4)
Tl12—O3fviii2.969 (4)S1c—O2c1.462 (4)
Tl22—O1aix3.058 (4)S1c—O3c1.488 (4)
Tl22—O3aix3.247 (4)S1c—O4c1.501 (3)
Tl22—O2bvi3.057 (4)S1d—O1d1.452 (4)
Tl22—O2c3.051 (4)S1d—O2d1.462 (4)
Tl22—O1dvi3.036 (4)S1d—O3d1.488 (4)
Tl22—O3dvi2.960 (4)S1d—O4d1.501 (3)
Tl22—O1ex3.142 (4)S1e—O1e1.452 (4)
Tl22—O2evi2.798 (4)S1e—O2e1.462 (4)
Cd11—O3a2.258 (4)S1e—O3e1.488 (4)
Cd11—O4avii2.173 (4)S1e—O4e1.501 (4)
Cd11—O3c2.399 (4)S1f—O1f1.452 (4)
Cd11—O4dxi2.311 (3)S1f—O2f1.462 (4)
Cd11—O3e2.150 (4)S1f—O3f1.488 (4)
Cd11—O4fi2.272 (3)S1f—O4f1.501 (4)
Cd12—O3bxii2.205 (4)
O2ai—Tl21—O1bi64.44 (8)O3aix—Tl22—O2c76.0 (1)
O2ai—Tl21—O3bi107.99 (8)O3aix—Tl22—O1dvi74.8 (1)
O2ai—Tl21—O1cii156.4 (1)O3aix—Tl22—O3dvi81.8 (1)
O2ai—Tl21—O3cii156.6 (1)O3aix—Tl22—O1ex124.5 (1)
O2ai—Tl21—O2d95.1 (1)O3aix—Tl22—O2evi160.7 (1)
O2ai—Tl21—O1fiii78.4 (1)O2bvi—Tl22—O2c95.2 (1)
O2ai—Tl21—O2fiv90.4 (1)O2bvi—Tl22—O1dvi155.9 (1)
O1bi—Tl21—O3bi43.89 (9)O2bvi—Tl22—O3dvi156.9 (1)
O1bi—Tl21—O1cii112.8 (1)O2bvi—Tl22—O1ex79.4 (1)
O1bi—Tl21—O3cii122.8 (1)O2bvi—Tl22—O2evi92.3 (1)
O1bi—Tl21—O2d73.6 (1)O2c—Tl22—O1dvi61.29 (9)
O1bi—Tl21—O1fiii118.4 (1)O2c—Tl22—O3dvi107.82 (8)
O1bi—Tl21—O2fiv152.6 (1)O2c—Tl22—O1ex159.5 (1)
O3bi—Tl21—O1cii75.2 (1)O2c—Tl22—O2evi98.3 (1)
O3bi—Tl21—O3cii80.6 (1)O1dvi—Tl22—O3dvi46.67 (9)
O3bi—Tl21—O2d73.9 (1)O1dvi—Tl22—O1ex120.4 (1)
O3bi—Tl21—O1fiii125.7 (1)O1dvi—Tl22—O2evi86.2 (1)
O3bi—Tl21—O2fiv160.8 (1)O3dvi—Tl22—O1ex78.2 (1)
O1cii—Tl21—O3cii46.00 (9)O3dvi—Tl22—O2evi82.5 (1)
O1cii—Tl21—O2d62.80 (9)O1ex—Tl22—O2evi62.44 (9)
O1cii—Tl21—O1fiii119.5 (1)O3a—Cd11—O4avii91.5 (2)
O1cii—Tl21—O2fiv85.8 (1)O3a—Cd11—O3c95.0 (1)
O3cii—Tl21—O2d108.25 (8)O3a—Cd11—O4dxi80.5 (2)
O3cii—Tl21—O1fiii79.1 (1)O3a—Cd11—O3e98.5 (2)
O3cii—Tl21—O2fiv84.6 (1)O3a—Cd11—O4fi163.0 (2)
O2d—Tl21—O1fiii160.4 (1)O4avii—Cd11—O3c173.1 (2)
O2d—Tl21—O2fiv99.7 (1)O4avii—Cd11—O4dxi93.7 (2)
O1fiii—Tl21—O2fiv62.23 (9)O4avii—Cd11—O3e92.0 (2)
O1b—Tl11—O3bv132.6 (1)O4avii—Cd11—O4fi104.3 (2)
O1b—Tl11—O4bv94.93 (9)O3c—Cd11—O4dxi85.3 (2)
O1b—Tl11—O3cvi148.4 (1)O3c—Cd11—O3e89.2 (2)
O1b—Tl11—O4cvi152.4 (1)O3c—Cd11—O4fi69.0 (2)
O1b—Tl11—O2dvi71.3 (1)O4dxi—Cd11—O3e174.3 (2)
O1b—Tl11—O1evi59.48 (9)O4dxi—Cd11—O4fi92.0 (2)
O1b—Tl11—O3evi90.3 (1)O3e—Cd11—O4fi87.4 (2)
O1b—Tl11—O4f103.9 (1)O3bxii—Cd12—O4bvi88.7 (2)
O3bv—Tl11—O4bv45.89 (9)O3bxii—Cd12—O4c81.1 (2)
O3bv—Tl11—O3cvi78.2 (1)O3bxii—Cd12—O3d94.6 (2)
O3bv—Tl11—O4cvi54.4 (1)O3bxii—Cd12—O4evi165.1 (2)
O3bv—Tl11—O2dvi65.5 (1)O3bxii—Cd12—O3fxii97.6 (2)
O3bv—Tl11—O1evi142.44 (9)O4bvi—Cd12—O4c93.7 (2)
O3bv—Tl11—O3evi136.0 (1)O4bvi—Cd12—O3d176.5 (2)
O3bv—Tl11—O4f106.1 (1)O4bvi—Cd12—O4evi105.8 (2)
O4bv—Tl11—O3cvi107.2 (1)O4bvi—Cd12—O3fxii92.3 (2)
O4bv—Tl11—O4cvi99.9 (1)O4c—Cd12—O3d85.7 (2)
O4bv—Tl11—O2dvi58.6 (1)O4c—Cd12—O4evi94.4 (2)
O4bv—Tl11—O1evi150.6 (1)O4c—Cd12—O3fxii173.8 (2)
O4bv—Tl11—O3evi161.1 (1)O3d—Cd12—O4evi70.8 (2)
O4bv—Tl11—O4f97.0 (1)O3d—Cd12—O3fxii88.4 (2)
O3cvi—Tl11—O4cvi45.32 (8)O4evi—Cd12—O3fxii85.4 (2)
O3cvi—Tl11—O2dvi139.7 (1)O2a—Cd21—O1b88.3 (1)
O3cvi—Tl11—O1evi102.1 (1)O2a—Cd21—O2c93.0 (1)
O3cvi—Tl11—O3evi61.9 (1)O2a—Cd21—O1dvi89.1 (2)
O3cvi—Tl11—O4f52.2 (1)O2a—Cd21—O1evi174.9 (2)
O4cvi—Tl11—O2dvi97.0 (1)O2a—Cd21—O2e94.9 (2)
O4cvi—Tl11—O1evi98.8 (1)O1b—Cd21—O2c172.7 (2)
O4cvi—Tl11—O3evi83.2 (1)O1b—Cd21—O1dvi89.5 (2)
O4cvi—Tl11—O4f97.2 (1)O1b—Cd21—O1evi87.2 (1)
O2dvi—Tl11—O1evi96.81 (9)O1b—Cd21—O2e84.1 (2)
O2dvi—Tl11—O3evi139.96 (9)O2c—Cd21—O1dvi83.4 (1)
O2dvi—Tl11—O4f153.59 (8)O2c—Cd21—O1evi91.1 (2)
O1evi—Tl11—O3evi44.33 (9)O2c—Cd21—O2e102.9 (1)
O1evi—Tl11—O4f102.85 (9)O1dvi—Cd21—O1evi88.4 (2)
O3evi—Tl11—O4f64.07 (9)O1dvi—Cd21—O2e172.3 (2)
O1a—Tl12—O2a42.41 (9)O1evi—Cd21—O2e87.1 (1)
O1a—Tl12—O3avii131.7 (1)O1axiii—Cd22—O2b88.9 (1)
O1a—Tl12—O4avii95.38 (9)O1axiii—Cd22—O1ci86.7 (2)
O1a—Tl12—O2cvii71.2 (1)O1axiii—Cd22—O2dxiv172.5 (2)
O1a—Tl12—O3di149.05 (9)O1axiii—Cd22—O1fxv86.8 (1)
O1a—Tl12—O4di150.2 (1)O1axiii—Cd22—O2f82.9 (2)
O1a—Tl12—O4e103.5 (1)O2b—Cd22—O1ci91.3 (2)
O1a—Tl12—O1fviii59.03 (9)O2b—Cd22—O2dxiv92.1 (1)
O1a—Tl12—O3fviii90.4 (1)O2b—Cd22—O1fxv175.3 (2)
O2a—Tl12—O3avii141.5 (1)O2b—Cd22—O2f92.3 (2)
O2a—Tl12—O4avii96.92 (9)O1ci—Cd22—O2dxiv85.8 (1)
O2a—Tl12—O2cvii108.19 (9)O1ci—Cd22—O1fxv86.7 (2)
O2a—Tl12—O3di111.71 (8)O1ci—Cd22—O2f168.9 (2)
O2a—Tl12—O4di153.71 (8)O2dxiv—Cd22—O1fxv92.0 (1)
O2a—Tl12—O4e61.2 (1)O2dxiv—Cd22—O2f104.6 (1)
O2a—Tl12—O1fviii74.0 (1)O1fxv—Cd22—O2f89.0 (1)
O2a—Tl12—O3fviii74.8 (1)O1a—S1a—O2a106.6 (3)
O3avii—Tl12—O4avii45.57 (8)O1a—S1a—O3a107.8 (3)
O3avii—Tl12—O2cvii64.6 (1)O1a—S1a—O4a111.2 (3)
O3avii—Tl12—O3di78.6 (1)O2a—S1a—O3a109.9 (3)
O3avii—Tl12—O4di56.9 (1)O2a—S1a—O4a113.5 (3)
O3avii—Tl12—O4e107.6 (1)O3a—S1a—O4a107.6 (3)
O3avii—Tl12—O1fviii142.10 (9)O1b—S1b—O2b106.6 (3)
O3avii—Tl12—O3fviii136.5 (1)O1b—S1b—O3b107.8 (3)
O4avii—Tl12—O2cvii59.5 (1)O1b—S1b—O4b111.2 (3)
O4avii—Tl12—O3di106.4 (1)O2b—S1b—O3b109.9 (3)
O4avii—Tl12—O4di102.0 (1)O2b—S1b—O4b113.5 (3)
O4avii—Tl12—O4e96.6 (1)O3b—S1b—O4b107.6 (3)
O4avii—Tl12—O1fviii150.9 (1)O1c—S1c—O2c106.6 (3)
O4avii—Tl12—O3fviii160.2 (1)O1c—S1c—O3c107.8 (3)
O2cvii—Tl12—O3di139.1 (1)O1c—S1c—O4c111.2 (3)
O2cvii—Tl12—O4di97.14 (9)O2c—S1c—O3c109.9 (3)
O2cvii—Tl12—O4e153.87 (8)O2c—S1c—O4c113.5 (3)
O2cvii—Tl12—O1fviii96.40 (9)O3c—S1c—O4c107.6 (3)
O2cvii—Tl12—O3fviii139.96 (9)O1d—S1d—O2d106.6 (3)
O3di—Tl12—O4di45.28 (8)O1d—S1d—O3d107.8 (3)
O3di—Tl12—O4e53.1 (1)O1d—S1d—O4d111.2 (3)
O3di—Tl12—O1fviii102.7 (1)O2d—S1d—O3d109.9 (3)
O3di—Tl12—O3fviii62.1 (1)O2d—S1d—O4d113.5 (3)
O4di—Tl12—O4e98.3 (1)O3d—S1d—O4d107.6 (3)
O4di—Tl12—O1fviii96.7 (1)O1e—S1e—O2e106.6 (2)
O4di—Tl12—O3fviii81.3 (1)O1e—S1e—O3e107.8 (3)
O4e—Tl12—O1fviii102.56 (9)O1e—S1e—O4e111.2 (3)
O4e—Tl12—O3fviii63.63 (9)O2e—S1e—O3e109.9 (3)
O1fviii—Tl12—O3fviii44.84 (9)O2e—S1e—O4e113.5 (3)
O1aix—Tl22—O3aix44.15 (9)O3e—S1e—O4e107.6 (3)
O1aix—Tl22—O2bvi62.90 (8)O1f—S1f—O2f106.6 (2)
O1aix—Tl22—O2c74.4 (1)O1f—S1f—O3f107.8 (2)
O1aix—Tl22—O1dvi111.4 (1)O1f—S1f—O4f111.2 (3)
O1aix—Tl22—O3dvi124.8 (1)O2f—S1f—O3f109.9 (3)
O1aix—Tl22—O1ex119.0 (1)O2f—S1f—O4f113.5 (3)
O1aix—Tl22—O2evi152.7 (1)O3f—S1f—O4f107.6 (2)
O3aix—Tl22—O2bvi106.46 (8)
Symmetry codes: (i) x+1, y+1, z1/2; (ii) x+1, y, z1/2; (iii) x, y1, z1; (iv) x+2, y+1, z1/2; (v) x+1, y+2, z+1/2; (vi) x+1, y+1, z+1/2; (vii) x, y+1, z1/2; (viii) x+1, y+2, z1/2; (ix) x, y+1, z+1/2; (x) x, y, z+1; (xi) x1, y, z; (xii) x, y1, z; (xiii) x+1, y, z; (xiv) x, y+1, z; (xv) x+2, y+2, z1/2.
(85K) top
Crystal data top
Tl2Cd2(SO4)3F(000) = 1608
Mr = 921.7Dx = 5.505 Mg m3
Orthorhombic, P212121Mo Kα radiation, λ = 0.71073 Å
Hall symbol: P 2ac 2abCell parameters from 25 reflections
a = 10.327 (3) Åθ = 5.1–28.7°
b = 10.345 (4) ŵ = 33.30 mm1
c = 10.406 (5) ÅT = 85 K
V = 1111.7 (8) Å3Spherical, colourless
Z = 40.12 mm (radius)
Data collection top
Enraf-Nonius CAD-4
diffractometer
θmax = 35.0°, θmin = 2.8°
θ/2θ scansh = 016
Absorption correction: for a sphere
?
k = 016
Tmin = 0.002, Tmax = 0.015l = 1616
5303 measured reflections3 standard reflections every 120 min
4985 independent reflections intensity decay: 4%
4028 reflections with I > 3σ(I)
Refinement top
Refinement on FWeighting scheme based on measured s.u.'s w = 1/σ2(F)
R[F2 > 2σ(F2)] = 0.057(Δ/σ)max = 0.0004
wR(F2) = 0.060Δρmax = 4.77 e Å3
S = 1.94Δρmin = 4.73 e Å3
4985 reflectionsExtinction correction: B-C type 1 Gaussian isotropic
67 parametersExtinction coefficient: 0.015 (3)
Crystal data top
Tl2Cd2(SO4)3V = 1111.7 (8) Å3
Mr = 921.7Z = 4
Orthorhombic, P212121Mo Kα radiation
a = 10.327 (3) ŵ = 33.30 mm1
b = 10.345 (4) ÅT = 85 K
c = 10.406 (5) Å0.12 mm (radius)
Data collection top
Enraf-Nonius CAD-4
diffractometer
4985 independent reflections
Absorption correction: for a sphere
?
4028 reflections with I > 3σ(I)
Tmin = 0.002, Tmax = 0.0153 standard reflections every 120 min
5303 measured reflections intensity decay: 4%
Refinement top
R[F2 > 2σ(F2)] = 0.05767 parameters
wR(F2) = 0.060Δρmax = 4.77 e Å3
S = 1.94Δρmin = 4.73 e Å3
4985 reflections
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Tl10.81231 (7)0.82841 (7)0.81649 (7)0.0076 (1)
Tl20.05831 (7)0.04009 (7)0.05051 (7)0.0093 (2)
Cd10.3325 (1)0.3163 (1)0.3408 (1)0.0050 (3)
Cd20.5790 (1)0.5998 (1)0.5943 (1)0.0052 (3)
S1ab0.2602 (4)0.6201 (4)0.5082 (3)0.0045
O1ab0.175 (1)0.700 (1)0.434 (1)0.0118
O2ab0.3937 (8)0.673 (1)0.496 (1)0.0095
O3ab0.253 (1)0.4866 (8)0.454 (1)0.0094
O4ab0.221 (1)0.616 (1)0.6443 (8)0.0071
S1cd0.5234 (3)0.2850 (3)0.6269 (4)0.0045
O1cd0.511 (1)0.195 (1)0.731 (1)0.0118
O2cd0.491 (1)0.4162 (8)0.676 (1)0.0095
O3cd0.429 (1)0.245 (1)0.5252 (9)0.0094
O4cd0.6553 (8)0.284 (1)0.573 (1)0.0071
S1ef0.6325 (4)0.5072 (3)0.2860 (3)0.0045
O1ef0.736 (1)0.440 (1)0.222 (1)0.0118
O2ef0.682 (1)0.554 (1)0.4122 (8)0.0095
O3ef0.5245 (9)0.413 (1)0.305 (1)0.0094
O4ef0.585 (1)0.6170 (8)0.209 (1)0.0071
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Tl10.0076 (3)0.0082 (2)0.0072 (3)0.0004 (2)0.0009 (2)0.0003 (2)
Tl20.0078 (3)0.0109 (3)0.0090 (3)0.0005 (2)0.0005 (2)0.0001 (2)
Cd10.0053 (5)0.0061 (5)0.0037 (5)0.0013 (4)0.0005 (3)0.0008 (4)
Cd20.0049 (5)0.0069 (5)0.0037 (5)0.0016 (4)0.0007 (4)0.0001 (4)
S1ab0.0049380.005220.0034510.0020640.0009330.000926
O1ab0.0021040.0200920.0132150.0017580.0033670.002508
O2ab0.0061960.0042260.0181010.0021810.0040780.002335
O3ab0.0118040.0066070.0096940.0013590.0064120.000746
O4ab0.0138670.0052460.002330.0061950.0045420.003401
S1cd0.0043390.004830.004440.0000370.0019050.001787
O1cd0.016830.0012550.0173260.0009970.004080.001395
O2cd0.0120850.0083360.0081020.0046720.0052640.005353
O3cd0.0127340.0078530.0075180.0062160.0016870.000587
O4cd0.0005130.0132730.0076570.0022920.0009370.007716
S1ef0.0046070.0044090.0045930.0005270.0025430.000365
O1ef0.0178130.0122240.0053740.0040220.0012940.006815
O2ef0.0074010.0160020.005120.006960.0013270.000238
O3ef0.0073530.0054070.0153450.0010590.001040.004518
O4ef0.0075450.0029530.0109450.0040240.0066540.005477
Geometric parameters (Å, º) top
Tl1—O1abi2.98 (1)Cd1—O3cd2.29 (1)
Tl1—O3abii2.98 (1)Cd1—O4cdix2.287 (9)
Tl1—O4abii3.03 (1)Cd2—O1abi2.31 (1)
Tl1—O1efiii2.99 (1)Cd2—O2ab2.296 (9)
Tl1—O3efiii3.01 (1)Cd2—O1efiii2.36 (1)
Tl1—O4efi2.89 (1)Cd2—O2ef2.224 (9)
Tl1—O2cdii3.27 (1)Cd2—O1cdii2.27 (1)
Tl1—O3cdii3.11 (1)Cd2—O2cd2.269 (9)
Tl1—O4cdiii2.92 (1)S1ab—O1ab1.44 (1)
Tl2—O1abiv2.93 (1)S1ab—O2ab1.487 (9)
Tl2—O2abv3.06 (1)S1ab—O3ab1.50 (1)
Tl2—O3abiv3.27 (1)S1ab—O4ab1.475 (9)
Tl2—O2efvi2.72 (1)S1ef—O1ef1.44 (1)
Tl2—O4efvii3.16 (1)S1ef—O2ef1.49 (1)
Tl2—O1cdviii3.16 (1)S1ef—O3ef1.50 (1)
Tl2—O2cdix2.96 (1)S1ef—O4ef1.47 (1)
Tl2—O3cdviii2.96 (1)S1cd—O1cd1.44 (1)
Cd1—O3ab2.27 (1)S1cd—O2cd1.49 (1)
Cd1—O4abv2.229 (9)S1cd—O3cd1.50 (1)
Cd1—O3ef2.251 (9)S1cd—O4cd1.475 (9)
Cd1—O4efvi2.289 (9)
O3ab—Cd1—O4abv98.2 (4)O1efiii—Cd2—O2ef93.1 (4)
O3ab—Cd1—O3ef93.5 (4)O1efiii—Cd2—O1cdii87.7 (4)
O3ab—Cd1—O4efvi161.7 (4)O1efiii—Cd2—O2cd88.1 (4)
O3ab—Cd1—O3cd88.5 (4)O2ef—Cd2—O1cdii166.6 (4)
O3ab—Cd1—O4cdix81.8 (4)O2ef—Cd2—O2cd109.2 (4)
O4abv—Cd1—O3ef85.7 (4)O1cdii—Cd2—O2cd84.2 (4)
O4abv—Cd1—O4efvi99.6 (4)O1ab—S1ab—O2ab108.3 (6)
O4abv—Cd1—O3cd168.2 (4)O1ab—S1ab—O3ab107.4 (6)
O4abv—Cd1—O4cdix107.8 (4)O1ab—S1ab—O4ab111.2 (6)
O3ef—Cd1—O4efvi92.0 (4)O2ab—S1ab—O3ab110.6 (6)
O3ef—Cd1—O3cd84.2 (4)O2ab—S1ab—O4ab110.3 (6)
O3ef—Cd1—O4cdix166.2 (4)O3ab—S1ab—O4ab109.1 (6)
O4efvi—Cd1—O3cd74.7 (4)O1cd—S1cd—O2cd108.3 (6)
O4efvi—Cd1—O4cdix88.8 (4)O1cd—S1cd—O3cd107.4 (6)
O3cd—Cd1—O4cdix82.7 (4)O1cd—S1cd—O4cd111.2 (6)
O1abi—Cd2—O2ab90.3 (4)O2cd—S1cd—O3cd110.6 (6)
O1abi—Cd2—O1efiii83.2 (4)O2cd—S1cd—O4cd110.3 (6)
O1abi—Cd2—O2ef83.2 (4)O3cd—S1cd—O4cd109.1 (6)
O1abi—Cd2—O1cdii83.6 (4)O1ef—S1ef—O2ef108.3 (6)
O1abi—Cd2—O2cd165.3 (4)O1ef—S1ef—O3ef107.4 (6)
O2ab—Cd2—O1efiii168.9 (4)O1ef—S1ef—O4ef111.2 (6)
O2ab—Cd2—O2ef95.1 (4)O2ef—S1ef—O3ef110.6 (6)
O2ab—Cd2—O1cdii82.5 (4)O2ef—S1ef—O4ef110.3 (6)
O2ab—Cd2—O2cd96.2 (4)O3ef—S1ef—O4ef109.1 (6)
Symmetry codes: (i) x+1/2, y+3/2, z+1; (ii) x+1, y+1/2, z+3/2; (iii) x+3/2, y+1, z+1/2; (iv) x, y1/2, z+1/2; (v) x+1/2, y+1, z1/2; (vi) x+1, y1/2, z+1/2; (vii) x1/2, y+1/2, z; (viii) x+1/2, y, z1/2; (ix) x1/2, y+1/2, z+1.

Experimental details

(121K)(85K)
Crystal data
Chemical formulaTl2Cd2(SO4)3Tl2Cd2(SO4)3
Mr921.7921.7
Crystal system, space groupMonoclinic, P1121Orthorhombic, P212121
Temperature (K)12185
a, b, c (Å)10.356 (4), 10.350 (2), 10.353 (6)10.327 (3), 10.345 (4), 10.406 (5)
α, β, γ (°)90, 90, 90.04 (3)90, 90, 90
V3)1109.7 (8)1111.7 (8)
Z44
Radiation typeSynchrotron, λ = 0.5502 ÅMo Kα
µ (mm1)17.5333.30
Crystal size (mm)0.59 × 0.35 × 0.350.12 (radius)
Data collection
DiffractometerHuber CAD-4 κ geometry
diffractometer
Enraf-Nonius CAD-4
diffractometer
Absorption correctionAnalytical
(Alcock, 1974)
For a sphere
Tmin, Tmax0.009, 0.0460.002, 0.015
No. of measured, independent and
observed [I > 3σ(I)] reflections
9312, 8392, 8392 5303, 4985, 4028
Rint??
(sin θ/λ)max1)0.6220.806
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.044, 0.064, 13.78 0.057, 0.060, 1.94
No. of reflections83924985
No. of parameters13267
No. of restraints??
Δρmax, Δρmin (e Å3)2.43, 1.864.77, 4.73

Computer programs: DIF4, CAD4VPC, AVSORT, REDUCE, xtal_ABSORB, JANA98, ORTEP.

Selected geometric parameters (Å, º) for (121K) top
Tl21—O2ai3.000 (4)Cd12—O4bvi2.220 (4)
Tl21—O1bi3.066 (4)Cd12—O4c2.208 (3)
Tl21—O3bi3.270 (4)Cd12—O3d2.413 (4)
Tl21—O1cii3.092 (4)Cd12—O4evi2.260 (3)
Tl21—O3cii2.983 (4)Cd12—O3fxii2.185 (4)
Tl21—O2d3.039 (4)Cd21—O2a2.276 (3)
Tl21—O1fiii3.195 (4)Cd21—O1b2.365 (4)
Tl21—O2fiv2.825 (4)Cd21—O2c2.429 (3)
Tl11—O1b3.200 (4)Cd21—O1dvi2.232 (4)
Tl11—O3bv3.218 (4)Cd21—O1evi2.281 (4)
Tl11—O4bv2.934 (4)Cd21—O2e2.207 (3)
Tl11—O3cvi3.205 (4)Cd22—O1axiii2.328 (4)
Tl11—O4cvi3.045 (5)Cd22—O2b2.228 (3)
Tl11—O2dvi3.078 (4)Cd22—O1ci2.188 (4)
Tl11—O1evi3.259 (4)Cd22—O2dxiv2.494 (3)
Tl11—O3evi3.008 (4)Cd22—O1fxv2.265 (4)
Tl11—O4f2.737 (4)Cd22—O2f2.197 (3)
Tl12—O1a3.177 (4)S1a—O1a1.452 (4)
Tl12—O2a3.277 (4)S1a—O2a1.462 (3)
Tl12—O3avii3.184 (4)S1a—O3a1.488 (4)
Tl12—O4avii3.035 (4)S1a—O4a1.501 (4)
Tl12—O2cvii3.166 (4)S1b—O1b1.452 (4)
Tl12—O3di3.241 (4)S1b—O2b1.462 (3)
Tl12—O4di2.998 (5)S1b—O3b1.488 (4)
Tl12—O4e2.738 (4)S1b—O4b1.501 (4)
Tl12—O1fviii3.229 (4)S1c—O1c1.452 (4)
Tl12—O3fviii2.969 (4)S1c—O2c1.462 (4)
Tl22—O1aix3.058 (4)S1c—O3c1.488 (4)
Tl22—O3aix3.247 (4)S1c—O4c1.501 (3)
Tl22—O2bvi3.057 (4)S1d—O1d1.452 (4)
Tl22—O2c3.051 (4)S1d—O2d1.462 (4)
Tl22—O1dvi3.036 (4)S1d—O3d1.488 (4)
Tl22—O3dvi2.960 (4)S1d—O4d1.501 (3)
Tl22—O1ex3.142 (4)S1e—O1e1.452 (4)
Tl22—O2evi2.798 (4)S1e—O2e1.462 (4)
Cd11—O3a2.258 (4)S1e—O3e1.488 (4)
Cd11—O4avii2.173 (4)S1e—O4e1.501 (4)
Cd11—O3c2.399 (4)S1f—O1f1.452 (4)
Cd11—O4dxi2.311 (3)S1f—O2f1.462 (4)
Cd11—O3e2.150 (4)S1f—O3f1.488 (4)
Cd11—O4fi2.272 (3)S1f—O4f1.501 (4)
Cd12—O3bxii2.205 (4)
O1a—S1a—O2a106.6 (3)O1d—S1d—O2d106.6 (3)
O1a—S1a—O3a107.8 (3)O1d—S1d—O3d107.8 (3)
O1a—S1a—O4a111.2 (3)O1d—S1d—O4d111.2 (3)
O2a—S1a—O3a109.9 (3)O2d—S1d—O3d109.9 (3)
O2a—S1a—O4a113.5 (3)O2d—S1d—O4d113.5 (3)
O3a—S1a—O4a107.6 (3)O3d—S1d—O4d107.6 (3)
O1b—S1b—O2b106.6 (3)O1e—S1e—O2e106.6 (2)
O1b—S1b—O3b107.8 (3)O1e—S1e—O3e107.8 (3)
O1b—S1b—O4b111.2 (3)O1e—S1e—O4e111.2 (3)
O2b—S1b—O3b109.9 (3)O2e—S1e—O3e109.9 (3)
O2b—S1b—O4b113.5 (3)O2e—S1e—O4e113.5 (3)
O3b—S1b—O4b107.6 (3)O3e—S1e—O4e107.6 (3)
O1c—S1c—O2c106.6 (3)O1f—S1f—O2f106.6 (2)
O1c—S1c—O3c107.8 (3)O1f—S1f—O3f107.8 (2)
O1c—S1c—O4c111.2 (3)O1f—S1f—O4f111.2 (3)
O2c—S1c—O3c109.9 (3)O2f—S1f—O3f109.9 (3)
O2c—S1c—O4c113.5 (3)O2f—S1f—O4f113.5 (3)
O3c—S1c—O4c107.6 (3)O3f—S1f—O4f107.6 (2)
Symmetry codes: (i) x+1, y+1, z1/2; (ii) x+1, y, z1/2; (iii) x, y1, z1; (iv) x+2, y+1, z1/2; (v) x+1, y+2, z+1/2; (vi) x+1, y+1, z+1/2; (vii) x, y+1, z1/2; (viii) x+1, y+2, z1/2; (ix) x, y+1, z+1/2; (x) x, y, z+1; (xi) x1, y, z; (xii) x, y1, z; (xiii) x+1, y, z; (xiv) x, y+1, z; (xv) x+2, y+2, z1/2.
Domain fractions
f134.2 (2)
f22.4 (2)
f330.6 (2)
f40.0 (2)
f528.8 (2)
f64.0 (2)
Selected geometric parameters (Å, º) for (85K) top
Tl1—O1abi2.98 (1)Cd1—O3cd2.29 (1)
Tl1—O3abii2.98 (1)Cd1—O4cdix2.287 (9)
Tl1—O4abii3.03 (1)Cd2—O1abi2.31 (1)
Tl1—O1efiii2.99 (1)Cd2—O2ab2.296 (9)
Tl1—O3efiii3.01 (1)Cd2—O1efiii2.36 (1)
Tl1—O4efi2.89 (1)Cd2—O2ef2.224 (9)
Tl1—O2cdii3.27 (1)Cd2—O1cdii2.27 (1)
Tl1—O3cdii3.11 (1)Cd2—O2cd2.269 (9)
Tl1—O4cdiii2.92 (1)S1ab—O1ab1.44 (1)
Tl2—O1abiv2.93 (1)S1ab—O2ab1.487 (9)
Tl2—O2abv3.06 (1)S1ab—O3ab1.50 (1)
Tl2—O3abiv3.27 (1)S1ab—O4ab1.475 (9)
Tl2—O2efvi2.72 (1)S1ef—O1ef1.44 (1)
Tl2—O4efvii3.16 (1)S1ef—O2ef1.49 (1)
Tl2—O1cdviii3.16 (1)S1ef—O3ef1.50 (1)
Tl2—O2cdix2.96 (1)S1ef—O4ef1.47 (1)
Tl2—O3cdviii2.96 (1)S1cd—O1cd1.44 (1)
Cd1—O3ab2.27 (1)S1cd—O2cd1.49 (1)
Cd1—O4abv2.229 (9)S1cd—O3cd1.50 (1)
Cd1—O3ef2.251 (9)S1cd—O4cd1.475 (9)
Cd1—O4efvi2.289 (9)
O1ab—S1ab—O2ab108.3 (6)O2cd—S1cd—O3cd110.6 (6)
O1ab—S1ab—O3ab107.4 (6)O2cd—S1cd—O4cd110.3 (6)
O1ab—S1ab—O4ab111.2 (6)O3cd—S1cd—O4cd109.1 (6)
O2ab—S1ab—O3ab110.6 (6)O1ef—S1ef—O2ef108.3 (6)
O2ab—S1ab—O4ab110.3 (6)O1ef—S1ef—O3ef107.4 (6)
O3ab—S1ab—O4ab109.1 (6)O1ef—S1ef—O4ef111.2 (6)
O1cd—S1cd—O2cd108.3 (6)O2ef—S1ef—O3ef110.6 (6)
O1cd—S1cd—O3cd107.4 (6)O2ef—S1ef—O4ef110.3 (6)
O1cd—S1cd—O4cd111.2 (6)O3ef—S1ef—O4ef109.1 (6)
Symmetry codes: (i) x+1/2, y+3/2, z+1; (ii) x+1, y+1/2, z+3/2; (iii) x+3/2, y+1, z+1/2; (iv) x, y1/2, z+1/2; (v) x+1/2, y+1, z1/2; (vi) x+1, y1/2, z+1/2; (vii) x1/2, y+1/2, z; (viii) x+1/2, y, z1/2; (ix) x1/2, y+1/2, z+1.
Domain fractions
f179.1 (2)
f210.5 (2)
f310.4 (2)
 

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