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An accurate knowledge of zeolite structure is required for understanding their selective sorption capacities and their catalytic properties. In particular, the positions of the exchangeable cations and their interactions with the framework are essential. The present study deals with the accurate crystal structure determination of a fully exchanged and fully dehydrated CaA zeolite (Ca
48Al
96Si
96O
384,
Fmc,
a = 24.47 Å) using single-crystal high-resolution synchrotron X-ray diffraction [(sin θ/λ)
max = 1.4 Å
−1]. It is shown that cation exchange severely distorts the skeleton, especially around the O2 atom. The high-resolution synchrotron data reveal that this latter O atom is disordered and lies out of the mirror plane it occupies in other A-type zeolites. This feature is related to that observed for Ca
2+ cations.
Supporting information
For all compounds, data collection: Siemens Smart; cell refinement: Siemens Smart; data reduction: Siemens Smart + SORTAV; program(s) used to solve structure: NRCVAX (Gabe et al., 1989); program(s) used to refine structure: MOLLY.
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Dx = 1.517 Mg m−3 |
Cubic, Fm3c | Synchrotron radiation, λ = 0.248 Å |
Hall symbol: -F 4n 2 3 | T = 293 K |
a = 24.47 Å | Transparent cubic crystals, colourless |
V = 14652 Å3 | 0.11 × 0.10 × 0.09 mm |
Data collection top
Siemens Smart CCD diffractometer | Rint = 0.059 |
Radiation source: E.S.R.F. | θmax = 20.3° |
ω scans | h = −34→64 |
16629 measured reflections | k = −61→34 |
1269 independent reflections | l = −54→57 |
1269 reflections with I > 0 | |
Refinement top
Refinement on F | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.077 | w = 1/σ2 |
wR(F2) = 0.074 | (Δ/σ)max = 0.3 |
S = 2.96 | Δρmax = 6.4 e Å−3 |
1147 reflections | Δρmin = 1.5 e Å−3 |
48 parameters | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Synchrotron radiation, λ = 0.248 Å |
Cubic, Fm3c | T = 293 K |
a = 24.47 Å | 0.11 × 0.10 × 0.09 mm |
V = 14652 Å3 | |
Data collection top
Siemens Smart CCD diffractometer | 1269 reflections with I > 0 |
16629 measured reflections | Rint = 0.059 |
1269 independent reflections | |
Refinement top
R[F2 > 2σ(F2)] = 0.077 | 48 parameters |
wR(F2) = 0.074 | (Δ/σ)max = 0.3 |
S = 2.96 | Δρmax = 6.4 e Å−3 |
1147 reflections | Δρmin = 1.5 e Å−3 |
Special details top
Geometry. All e.s.d.'s are estimated using the full covariance matrix. |
Refinement. Refinement on F for all reflections with F > 0*σ(Fo).
Using synchrotron radiation allows a large number (245) of substructure
reflections to be observed and used for solving and refining the structure. |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | Occ. (<1) |
Si | 0 (0) | 0.09214 (6) | 0.18414 (5) | 0.0161 (6) | |
Al | 0 (0) | 0.18742 (5) | 0.09096 (7) | 0.0176 (6) | |
O1 | 0 (0) | 0.1088 (2) | 0.2460 (2) | 0.046 (2) | |
O2 | 0 (0) | 0.14216 (2) | 0.1435 (2) | 0.067 (3) | |
O3 | 0.0535 (1) | 0.05741 (1) | 0.1678 (1) | 0.045 (2) | |
Ca1 | 0.0683 (3) | 0.0683 (3) | 0.0683 (3) | 0.042 (2) | 0.15 |
Ca2 | 0.08698 (2) | 0.08698 (2) | 0.08698 (2) | 0.046 (1) | 0.3 |
Ca3 | 0.105 (2) | 0.0977 (3) | 0.109 (2) | 0.03 (1) | 0.1 |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Si | 0.0217 (6) | 0.0151 (6) | 0.0115 (5) | 0 (0) | 0 (0) | 0.0051 (4) |
Al | 0.0271 (8) | 0.0108 (6) | 0.0149 (6) | 0 (0) | 0 (0) | 0.0043 (5) |
O1 | 0.071 (3) | 0.054 (2) | 0.012 (1) | 0 (0) | 0 (0) | −0.001 (2) |
O2 | 0.130 (4) | 0.036 (3) | 0.036 (3) | 0 (0) | 0 (0) | 0.029 (2) |
O3 | 0.039 (2) | 0.046 (2) | 0.051 (1) | 0.019 (1) | 0.000 (1) | 0.005 (1) |
Ca1 | 0.042 (2) | 0.042 (2) | 0.042 (2) | 0.010 (3) | 0.010 (3) | 0.010 (3) |
Ca2 | 0.046 (1) | 0.046 (1) | 0.046 (1) | 0.012 (2) | 0.012 (2) | 0.012 (2) |
Ca3 | 0.03 (1) | 0.03 (1) | 0.03 (1) | 0.019 (6) | −0.002 (6) | 0.006 (4) |
Geometric parameters (Å, º) top
Si—O1 | 1.568 (5) | Ca2—O3 | 2.260 (2) |
Si—O2 | 1.577 (3) | Ca2—O2 | 2.875 (2) |
Si—O3 | 1.611 (2) | Ca3—O3 | 2.15 (4) |
Al—O1 | 1.687 (5) | Ca3—O3 | 2.26 (4) |
Al—O2 | 1.697 (4) | Ca3—O3 | 2.48 (4) |
Al—O3 | 1.745 (2) | Ca3—O2 | 2.69 (2) |
Ca1—O3 | 2.476 (8) | Ca3—O2 | 2.92 (5) |
| | | |
Si—O1—Al | 149.9 (3) | O3—Si—O3 | 108.7 (1) |
Si—O2—Al | 169.8 (3) | O1—Al—O2 | 115.7 (2) |
Si—O3—Al | 141.6 (2) | O1—Al—O3 | 113.7 (1) |
O1—Si—O2 | 114.0 (2) | O2—Al—O3 | 102.6 (1) |
O1—Si—O3 | 112.1 (1) | O3—Al—O3 | 107.3 (1) |
O2—Si—O3 | 104.7 (1) | | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Dx = 1.517 Mg m−3 |
Cubic, Fm3c | Synchrotron radiation, λ = 0.248 Å |
Hall symbol: -F 4n 2 3 | T = 293 K |
a = 24.47 Å | Transparent cubic crystals, colourless |
V = 14652 Å3 | 0.11 × 0.10 × 0.09 mm |
Data collection top
Siemens Smart CCD diffractometer | Rint = 0.059 |
Radiation source: E.S.R.F. | θmax = 20.3° |
ω scans | h = −34→64 |
16629 measured reflections | k = −61→34 |
1269 independent reflections | l = −54→57 |
1269 reflections with I > 0 | |
Refinement top
Refinement on F | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.070 | w = 1/σ2 |
wR(F2) = 0.067 | (Δ/σ)max = 0.02 |
S = 2.56 | Δρmax = 6.1 e Å−3 |
1147 reflections | Δρmin = 1.1 e Å−3 |
52 parameters | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Synchrotron radiation, λ = 0.248 Å |
Cubic, Fm3c | T = 293 K |
a = 24.47 Å | 0.11 × 0.10 × 0.09 mm |
V = 14652 Å3 | |
Data collection top
Siemens Smart CCD diffractometer | 1269 reflections with I > 0 |
16629 measured reflections | Rint = 0.059 |
1269 independent reflections | |
Refinement top
R[F2 > 2σ(F2)] = 0.070 | 52 parameters |
wR(F2) = 0.067 | Δρmax = 6.1 e Å−3 |
S = 2.56 | Δρmin = 1.1 e Å−3 |
1147 reflections | |
Special details top
Geometry. All e.s.d.'s are estimated using the full covariance matrix. |
Refinement. Refinement on F for all reflections with F > 0*σ(Fo).
Using synchrotron radiation allows a large number (183) of substructure
reflections to be observed and used for solving and refining the structure. |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | Occ. (<1) |
Si | 0.00000 (1) | 0.09216 (6) | 0.18413 (5) | 0.01648 (5) | |
Al | 0.00000 (1) | 0.18738 (5) | 0.09095 (6) | 0.0180 (6) | |
O1 | 0.00000 (1) | 0.1088 (1) | 0.2460 (2) | 0.047 (2) | |
O2 | 0.0115 (1) | 0.1423 (2) | 0.1436 (2) | 0.031 (3) | 0.5 |
O3 | 0.0539 (1) | 0.0577 (1) | 0.1676 (1) | 0.045 (2) | |
Ca1 | 0.0685 (1) | 0.0685 (1) | 0.0685 (1) | 0.040 (2) | 0.15 |
Ca2 | 0.0874 (2) | 0.0874 (2) | 0.0874 (2) | 0.0446 (1) | 0.3 |
Ca3 | 0.1052 (9) | 0.0977 (2) | 0.1090 (9) | 0.023 (4) | 0.1 |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Si | 0.02197 (6) | 0.01516 (5) | 0.01230 (5) | 0.00000 (1) | 0.00000 (1) | 0.0051 (4) |
Al | 0.0277 (7) | 0.0112 (5) | 0.0151 (6) | 0.00000 (1) | 0.00000 (1) | 0.00455 (5) |
O1 | 0.076 (2) | 0.053 (2) | 0.013 (1) | 0.00000 (1) | 0.00000 (1) | −0.002 (2) |
O2 | 0.033 (2) | 0.024 (3) | 0.036 (3) | 0.008 (2) | 0.007 (2) | 0.027 (1) |
O3 | 0.039 (2) | 0.046 (2) | 0.051 (1) | 0.020 (1) | −0.001 (1) | −0.006 (1) |
Ca1 | 0.040 (2) | 0.040 (2) | 0.040 (2) | 0.010 (2) | 0.010 (2) | 0.010 (2) |
Ca2 | 0.0446 (1) | 0.0446 (1) | 0.0446 (1) | 0.013 (1) | 0.013 (1) | 0.013 (1) |
Ca3 | 0.040 (7) | 0.011 (2) | 0.017 (3) | 0.020 (4) | −0.003 (3) | 0.004 (3) |
Geometric parameters (Å, º) top
Si—O1 | 1.568 (5) | Ca1—O3 | 2.465 (3) |
Si—O2 | 1.603 (5) | Ca2—O3 | 2.248 (5) |
Si—O3 | 1.617 (3) | Ca3—O3 | 2.14 (2) |
Al—O1 | 1.688 (5) | Ca3—O3 | 2.25 (2) |
Al—O2 | 1.719 (5) | Ca3—O3 | 2.47 (2) |
Al—O3 | 1.746 (3) | | |
| | | |
Si—O1—Al | 150.0 (2) | O3—Si—O3 | 109.3 (2) |
Si—O2—Al | 157.9 (2) | O1—Al—O2 | 115.2 (2) |
Si—O3—Al | 140.9 (2) | O1—Al—O3 | 113.7 (1) |
O1—Si—O2 | 113.5 (2) | O2—Al—O3 | 110.1 (2) |
O1—Si—O3 | 112.2 (1) | O2—Al—O3 | 94.5 (2) |
O2—Si—O3 | 95.8 (2) | O3—Al—O3 | 107.9 (1) |
O2—Si—O3 | 112.8 (2) | | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Dx = 1.517 Mg m−3 |
Cubic, Fm3c | Synchrotron radiation, λ = 0.248 Å |
Hall symbol: -F 4n 2 3 | T = 293 K |
a = 24.47 Å | Transparent cubic crystals, colourless |
V = 14652 Å3 | 0.11 × 0.10 × 0.09 mm |
Data collection top
Siemens Smart CCD diffractometer | Rint = 5.93 |
Radiation source: E.S.R.F. | θmax = 20.3° |
ω scans | h = −34→64 |
16629 measured reflections | k = −61→34 |
1269 independent reflections | l = −54→57 |
1269 reflections with I > 0 | |
Refinement top
Refinement on F | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.066 | w = 1/σ2 |
wR(F2) = 0.062 | (Δ/σ)max = 0.02 |
S = 2.38 | Δρmax = 1.4 e Å−3 |
1147 reflections | Δρmin = 1.4 e Å−3 |
57 parameters | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Synchrotron radiation, λ = 0.248 Å |
Cubic, Fm3c | T = 293 K |
a = 24.47 Å | 0.11 × 0.10 × 0.09 mm |
V = 14652 Å3 | |
Data collection top
Siemens Smart CCD diffractometer | 1269 reflections with I > 0 |
16629 measured reflections | Rint = 5.93 |
1269 independent reflections | |
Refinement top
R[F2 > 2σ(F2)] = 0.066 | 57 parameters |
wR(F2) = 0.062 | Δρmax = 1.4 e Å−3 |
S = 2.38 | Δρmin = 1.4 e Å−3 |
1147 reflections | |
Special details top
Geometry. All e.s.d.'s are estimated using the full covariance matrix. |
Refinement. Refinement on F for all reflections with F > 0*σ(Fo).
Using synchrotron radiation allows a large number (245) of substructure
reflections to be observed and used for solving and refining the structure. |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | Occ. (<1) |
Si | 0 | 0.09216 (5) | 0.18412 (4) | 0.01648 (5) | |
Al | 0 | 0.18738 (4) | 0.09095 (6) | 0.0180 (6) | |
O1 | 0 | 0.1087 (1) | 0.2460 (1) | 0.047 (2) | |
O2 | 0.0115 (1) | 0.1423 (2) | 0.1436 (2) | 0.031 (3) | 0.5 |
O3 | 0.0539 (1) | 0.0576 (1) | 0.16765 (9) | 0.045 (2) | |
Ca1 | 0.0718 (9) | 0.0718 (9) | 0.0718 (9) | 0.040 (2) | 0.25 (2) |
Ca2 | 0.0874 (3) | 0.0874 (3) | 0.0874 (3) | 0.0446 (1) | 0.17 (2) |
Ca3 | 0.1050 (7) | 0.0972 (3) | 0.1069 (8) | 0.023 (4) | 0.124 (3) |
Ca4 | 0 (0) | 0 (0) | 0 (0) | 0.02 (1)* | 0.08 (1) |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Si | 0.0218 (5) | 0.0150 (5) | 0.0123 (5) | 0 | 0 | 0.0051 (4) |
Al | 0.0275 (6) | 0.0111 (5) | 0.0151 (5) | 0 | 0 | 0.0046 (4) |
O1 | 0.074 (2) | 0.053 (2) | 0.013 (1) | 0 | 0 | −0.002 (2) |
O2 | 0.033 (2) | 0.034 (2) | 0.035 (2) | 0.008 (2) | 0.007 (2) | 0.026 (2) |
O3 | 0.040 (2) | 0.046 (2) | 0.050 (1) | 0.0194 (9) | −0.001 (1) | −0.006 (1) |
Ca1 | 0.072 (7) | 0.072 (7) | 0.072 (7) | 0.037 (7) | 0.037 (7) | 0.037 (7) |
Ca2 | 0.027 (3) | 0.027 (3) | 0.027 (3) | −0.003 (2) | −0.003 (2) | −0.003 (2) |
Ca3 | 0.055 (7) | 0.020 (3) | 0.026 (4) | 0.027 (4) | −0.000 (3) | 0.006 (3) |
Geometric parameters (Å, º) top
Si—O1 | 1.568 (5) | Ca1—O3 | 2.465 (3) |
Si—O2 | 1.603 (5) | Ca2—O3 | 2.248 (5) |
Si—O3 | 1.617 (3) | Ca3—O3 | 2.14 (2) |
Al—O1 | 1.688 (5) | Ca3—O3 | 2.25 (2) |
Al—O2 | 1.719 (5) | Ca3—O3 | 2.47 (2) |
Al—O3 | 1.746 (3) | | |
| | | |
Si—O1—Al | 150.0 (2) | O3—Si—O3 | 109.3 (2) |
Si—O2—Al | 157.9 (2) | O1—Al—O2 | 115.2 (2) |
Si—O3—Al | 140.9 (2) | O1—Al—O3 | 113.7 (1) |
O1—Si—O2 | 113.5 (2) | O2—Al—O3 | 110.1 (2) |
O1—Si—O3 | 112.2 (1) | O2—Al—O3 | 94.5 (2) |
O2—Si—O3 | 95.8 (2) | O3—Al—O3 | 107.9 (1) |
O2—Si—O3 | 112.8 (2) | | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Dx = 1.517 Mg m−3 |
Cubic, F43c | Synchrotron radiation, λ = 0.248 Å |
Hall symbol: F -4c 2 3 | T = 293 K |
a = 24.47 Å | Transparent cubic crystals, colourless |
V = 14652 Å3 | 0.11 × 0.10 × 0.09 mm |
Data collection top
Siemens Smart CCD diffractometer | Rint = 5.93 |
Radiation source: E.S.R.F. | θmax = 20.3° |
ω scans | h = −34→64 |
16629 measured reflections | k = −61→34 |
1269 independent reflections | l = −54→57 |
1269 reflections with I > 0 | |
Refinement top
Refinement on F | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.070 | w = 1/σ2 |
wR(F2) = 0.067 | (Δ/σ)max = 0.2 |
S = 2.45 | Δρmax = 6.5 e Å−3 |
1147 reflections | Δρmin = 1.2 e Å−3 |
78 parameters | |
Crystal data top
Al96Ca48O384Si96 | Z = 1 |
Mr = 13380.3 | Synchrotron radiation, λ = 0.248 Å |
Cubic, F43c | T = 293 K |
a = 24.47 Å | 0.11 × 0.10 × 0.09 mm |
V = 14652 Å3 | |
Data collection top
Siemens Smart CCD diffractometer | 1269 reflections with I > 0 |
16629 measured reflections | Rint = 5.93 |
1269 independent reflections | |
Refinement top
R[F2 > 2σ(F2)] = 0.070 | 78 parameters |
wR(F2) = 0.067 | (Δ/σ)max = 0.2 |
S = 2.45 | Δρmax = 6.5 e Å−3 |
1147 reflections | Δρmin = 1.2 e Å−3 |
Special details top
Geometry. All e.s.d.'s are estimated using the full covariance matrix. |
Refinement. Refinement on F for all reflections with F > 0*σ(Fo).
Using synchrotron radiation allows a large number (245) of substructure
reflections to be observed and used for solving and refining the structure. |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | Occ. (<1) |
Si | 0.0006 (2) | 0.09217 (6) | 0.18416 (5) | 0.0168 (6) | |
Al | −0.0007 (2) | 0.18732 (5) | 0.09098 (7) | 0.0180 (6) | |
O1 | 0.0011 (7) | 0.1085 (2) | 0.2462 (2) | 0.049 (2) | |
O2a | 0.0120 (6) | 0.1394 (5) | 0.1409 (6) | 0.030 (6) | 0.5 |
O2b | −0.0102 (6) | 0.1468 (7) | 0.1478 (7) | 0.036 (8) | 0.5 |
O3a | 0.0557 (4) | 0.0574 (4) | 0.1647 (3) | 0.040 (5) | |
O3b | −0.0524 (4) | 0.0579 (4) | 0.1709 (3) | 0.045 (5) | |
Ca1 | −0.0689 (3) | 0.0689 (3) | 0.0689 (3) | 0.048 (2) | 0.25 (2) |
Ca2 | 0.0858 (3) | 0.0858 (3) | 0.0858 (3) | 0.045 (2) | 0.17 (2) |
Ca3a | −0.0975 (4) | 0.0975 (4) | 0.0975 (4) | 0.062 (4) | 0.124 (3) |
Ca3b | 0.1011 (7) | 0.0997 (7) | 0.1127 (3) | 0.017 (1)* | 0.08 (1) |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Si | 0.0222 (6) | 0.0159 (6) | 0.0124 (5) | −0.008 (1) | 0.003 (1) | 0.0054 (4) |
Al | 0.0279 (7) | 0.0114 (6) | 0.0147 (6) | −0.000 (2) | −0.000 (2) | 0.0040 (5) |
O1 | 0.078 (3) | 0.055 (2) | 0.014 (1) | −0.014 (7) | 0.013 (5) | −0.002 (2) |
O2a | 0.044 (6) | 0.015 (4) | 0.031 (6) | 0.016 (4) | 0.022 (5) | 0.016 (2) |
O2b | 0.028 (7) | 0.05 (1) | 0.031 (7) | −0.001 (7) | 0.006 (6) | 0.025 (4) |
O3a | 0.042 (5) | 0.039 (6) | 0.039 (3) | 0.014 (3) | 0.004 (3) | −0.003 (3) |
O3b | 0.034 (4) | 0.053 (6) | 0.049 (4) | −0.028 (3) | 0.000 (3) | −0.010 (3) |
Ca1 | 0.048 (2) | 0.048 (2) | 0.048 (2) | −0.022 (3) | −0.022 (3) | −0.022 (3) |
Ca2 | 0.045 (2) | 0.045 (2) | 0.045 (2) | 0.008 (2) | 0.008 (2) | 0.008 (2) |
Ca3a | 0.062 (4) | 0.062 (4) | 0.062 (4) | 0.036 (5) | 0.036 (5) | 0.036 (5) |
Experimental details
| (hyp-a) | (hyp-b) | (hyp-c) | (hyp-d) |
Crystal data |
Chemical formula | Al96Ca48O384Si96 | Al96Ca48O384Si96 | Al96Ca48O384Si96 | Al96Ca48O384Si96 |
Mr | 13380.3 | 13380.3 | 13380.3 | 13380.3 |
Crystal system, space group | Cubic, Fm3c | Cubic, Fm3c | Cubic, Fm3c | Cubic, F43c |
Temperature (K) | 293 | 293 | 293 | 293 |
a (Å) | 24.47 | 24.47 | 24.47 | 24.47 |
V (Å3) | 14652 | 14652 | 14652 | 14652 |
Z | 1 | 1 | 1 | 1 |
Radiation type | Synchrotron, λ = 0.248 Å | Synchrotron, λ = 0.248 Å | Synchrotron, λ = 0.248 Å | Synchrotron, λ = 0.248 Å |
µ (mm−1) | ? | ? | ? | ? |
Crystal size (mm) | 0.11 × 0.10 × 0.09 | 0.11 × 0.10 × 0.09 | 0.11 × 0.10 × 0.09 | 0.11 × 0.10 × 0.09 |
|
Data collection |
Diffractometer | Siemens Smart CCD diffractometer | Siemens Smart CCD diffractometer | Siemens Smart CCD diffractometer | Siemens Smart CCD diffractometer |
Absorption correction | ? | ? | ? | ? |
No. of measured, independent and observed (I > 0) reflections | 16629, 1269, 1269 | 16629, 1269, 1269 | 16629, 1269, 1269 | 16629, 1269, 1269 |
Rint | 0.059 | 0.059 | 5.93 | 5.93 |
(sin θ/λ)max (Å−1) | 1.400 | 1.400 | 1.400 | 1.400 |
|
Refinement |
R[F2 > 2σ(F2)], wR(F2), S | 0.077, 0.074, 2.96 | 0.070, 0.067, 2.56 | 0.066, 0.062, 2.38 | 0.070, 0.067, 2.45 |
No. of reflections | 1147 | 1147 | 1147 | 1147 |
No. of parameters | 48 | 52 | 57 | 78 |
No. of restraints | ? | ? | ? | ? |
(Δ/σ)max | 0.3 | 0.02 | 0.02 | 0.2 |
Δρmax, Δρmin (e Å−3) | 6.4, 1.5 | 6.1, 1.1 | 1.4, 1.4 | 6.5, 1.2 |
Selected geometric parameters (Å, º) for (hyp-a) topSi—O1 | 1.568 (5) | Ca2—O3 | 2.260 (2) |
Si—O2 | 1.577 (3) | Ca2—O2 | 2.875 (2) |
Si—O3 | 1.611 (2) | Ca3—O3 | 2.15 (4) |
Al—O1 | 1.687 (5) | Ca3—O3 | 2.26 (4) |
Al—O2 | 1.697 (4) | Ca3—O3 | 2.48 (4) |
Al—O3 | 1.745 (2) | Ca3—O2 | 2.69 (2) |
Ca1—O3 | 2.476 (8) | Ca3—O2 | 2.92 (5) |
| | | |
Si—O1—Al | 149.9 (3) | O3—Si—O3 | 108.7 (1) |
Si—O2—Al | 169.8 (3) | O1—Al—O2 | 115.7 (2) |
Si—O3—Al | 141.6 (2) | O1—Al—O3 | 113.7 (1) |
O1—Si—O2 | 114.0 (2) | O2—Al—O3 | 102.6 (1) |
O1—Si—O3 | 112.1 (1) | O3—Al—O3 | 107.3 (1) |
O2—Si—O3 | 104.7 (1) | | |
Selected geometric parameters (Å, º) for (hyp-b) topSi—O1 | 1.568 (5) | Ca1—O3 | 2.465 (3) |
Si—O2 | 1.603 (5) | Ca2—O3 | 2.248 (5) |
Si—O3 | 1.617 (3) | Ca3—O3 | 2.14 (2) |
Al—O1 | 1.688 (5) | Ca3—O3 | 2.25 (2) |
Al—O2 | 1.719 (5) | Ca3—O3 | 2.47 (2) |
Al—O3 | 1.746 (3) | | |
| | | |
Si—O1—Al | 150.0 (2) | O3—Si—O3 | 109.3 (2) |
Si—O2—Al | 157.9 (2) | O1—Al—O2 | 115.2 (2) |
Si—O3—Al | 140.9 (2) | O1—Al—O3 | 113.7 (1) |
O1—Si—O2 | 113.5 (2) | O2—Al—O3 | 110.1 (2) |
O1—Si—O3 | 112.2 (1) | O2—Al—O3 | 94.5 (2) |
O2—Si—O3 | 95.8 (2) | O3—Al—O3 | 107.9 (1) |
O2—Si—O3 | 112.8 (2) | | |
Selected geometric parameters (Å, º) for (hyp-c) topSi—O1 | 1.568 (5) | Ca1—O3 | 2.465 (3) |
Si—O2 | 1.603 (5) | Ca2—O3 | 2.248 (5) |
Si—O3 | 1.617 (3) | Ca3—O3 | 2.14 (2) |
Al—O1 | 1.688 (5) | Ca3—O3 | 2.25 (2) |
Al—O2 | 1.719 (5) | Ca3—O3 | 2.47 (2) |
Al—O3 | 1.746 (3) | | |
| | | |
Si—O1—Al | 150.0 (2) | O3—Si—O3 | 109.3 (2) |
Si—O2—Al | 157.9 (2) | O1—Al—O2 | 115.2 (2) |
Si—O3—Al | 140.9 (2) | O1—Al—O3 | 113.7 (1) |
O1—Si—O2 | 113.5 (2) | O2—Al—O3 | 110.1 (2) |
O1—Si—O3 | 112.2 (1) | O2—Al—O3 | 94.5 (2) |
O2—Si—O3 | 95.8 (2) | O3—Al—O3 | 107.9 (1) |
O2—Si—O3 | 112.8 (2) | | |
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