research papers
Structure factors for rubidium titanyl arsenate, RbTiOAsO4, were measured with Mo Kα radiation (λ = 0.71069 Å) at 9.6 and 295 K. The data show that there is no phase transition between room temperature and 9.6 K. The space group is Pna21. Unit-cell parameters are a = 13.218 (1), b = 6.6500 (9) and c = 10.761 (1) Å at 9.6 K, and a = 13.261 (2), b = 6.6791 (8) and c = 10.769 (1) Å at 295 K. As the temperature was lowered from 295 to 9.6 K the Rb atoms moved along the c axis in the direction of the polarization vector, while no significant change was noted for the Ti–O–As network. Strong accumulation and polarization of the difference electron density (Δρ) in exceptionally short covalent Ti—O bonds alternates with the depleted density in long Ti—O bonds. The Δρ near the Ti atoms is polarized and aligned in the negative c direction in accordance with the ferroelectric properties of this material. However, the electron density near the Rb atoms is depleted in this direction and the excess Δρ is moved further away from the nuclei along the c vector.
Keywords: Rubidium titanyl arsenate; Electron density distributions; Low-temperature diffractometry; Ferroelectrics.
Supporting information
Crystallographic Information File (CIF) | |
Structure factor file (CIF format) | |
Structure factor file (CIF format) |
Computing details top
For both compounds, data reduction: Xtal DIFDAT ADDREF ABSORB SORTRF; program(s) used to refine structure: Xtal CRYLSQ; molecular graphics: Xtal; software used to prepare material for publication: Xtal CIFIO.
(LowT) top
Crystal data top
RbTiOAsO4 | Dx = 4.048 Mg m−3 |
Mr = 288.27 | Mo Kα radiation, λ = 0.71069 Å |
Orthorhombic, Pna21 | Cell parameters from 20 reflections |
Hall symbol: P 2c -2n | θ = 2.6–21.2° |
a = 13.218 (1) Å | µ = 18.90 mm−1 |
b = 6.6500 (9) Å | T = 10 K |
c = 10.761 (1) Å | KTP morphology, colourless |
V = 945.89 (17) Å3 | 0.58 × 0.54 × 0.36 mm |
Z = 8 |
Data collection top
Huber 512 diffractometer | Rint = 0.022 |
profile data from ω/2θ scans | θmax = 50.1°, θmin = 3.1° |
Absorption correction: analytical Alcock (1974) | h = −15→28 |
Tmin = 0.008, Tmax = 0.066 | k = −7→14 |
15878 measured reflections | l = −21→22 |
5090 independent reflections | 3 standard reflections every 100 reflections |
5020 reflections with refl observed if F > 2 σ(F ) | intensity decay: none |
Refinement top
Refinement on F | (Δ/σ)max = 0.385-03 |
Least-squares matrix: full | Δρmax = 1.53 e Å−3 |
R[F2 > 2σ(F2)] = 0.032 | Δρmin = −1.84 e Å−3 |
wR(F2) = 0.026 | Extinction correction: Zachariasen (1968), Eq22 p292 "Cryst. Comp." Munksgaard 1970 |
S = 4.60 | Extinction coefficient: 7381 (91) |
5006 reflections | Absolute structure: Flack XABS refined |
146 parameters | Absolute structure parameter: 0.546 (6) |
1/σ2 |
Crystal data top
RbTiOAsO4 | V = 945.89 (17) Å3 |
Mr = 288.27 | Z = 8 |
Orthorhombic, Pna21 | Mo Kα radiation |
a = 13.218 (1) Å | µ = 18.90 mm−1 |
b = 6.6500 (9) Å | T = 10 K |
c = 10.761 (1) Å | 0.58 × 0.54 × 0.36 mm |
Data collection top
Huber 512 diffractometer | 5020 reflections with refl observed if F > 2 σ(F ) |
Absorption correction: analytical Alcock (1974) | Rint = 0.022 |
Tmin = 0.008, Tmax = 0.066 | 3 standard reflections every 100 reflections |
15878 measured reflections | intensity decay: none |
5090 independent reflections |
Refinement top
R[F2 > 2σ(F2)] = 0.032 | Δρmax = 1.53 e Å−3 |
wR(F2) = 0.026 | Δρmin = −1.84 e Å−3 |
S = 4.60 | Absolute structure: Flack XABS refined |
5006 reflections | Absolute structure parameter: 0.546 (6) |
146 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
x | y | z | Uiso*/Ueq | ||
Rb1 | 0.38187 (2) | 0.78084 (4) | 0.68708 (6) | 0.00324 (11) | |
Rb2 | 0.10896 (2) | 0.69237 (4) | 0.93924 (6) | 0.00295 (10) | |
Ti1 | 0.37402 (4) | 0.50487 (9) | 1.00918 (8) | 0.00226 (17) | |
Ti2 | 0.24844 (4) | 0.27027 (8) | 0.75921 (8) | 0.00213 (17) | |
As1 | 0.49955 (3) | 0.32869 (4) | 0.75244 (6) | 0.00165 (10) | |
As2 | 0.18019 (2) | 0.50527 (6) | 0.49791 (6) | 0.00173 (10) | |
O1 | 0.4880 (2) | 0.4908 (4) | 0.8669 (2) | 0.0043 (9) | |
O2 | 0.5100 (2) | 0.4617 (4) | 0.6181 (2) | 0.0040 (9) | |
O3 | 0.39501 (18) | 0.1874 (4) | 0.7305 (2) | 0.0040 (8) | |
O4 | 0.59976 (18) | 0.1752 (4) | 0.7710 (2) | 0.0042 (9) | |
O11 | 0.2820 (2) | 0.4527 (4) | 0.8681 (2) | 0.0044 (9) | |
O12 | 0.2176 (2) | 0.0556 (4) | 0.6185 (2) | 0.0041 (9) | |
O5 | 0.1098 (2) | 0.3029 (4) | 0.4616 (2) | 0.0039 (9) | |
O6 | 0.1068 (2) | 0.7045 (4) | 0.5278 (2) | 0.0047 (9) | |
O7 | 0.2588 (2) | 0.5443 (4) | 0.3744 (2) | 0.0040 (9) | |
O8 | 0.2582 (2) | 0.4585 (4) | 0.6171 (8) | 0.0042 (9) |
Atomic displacement parameters (Å2) top
U11 | U22 | U33 | U12 | U13 | U23 | |
Rb1 | 0.00387 (10) | 0.00235 (10) | 0.00349 (12) | 0.00030 (9) | −0.00057 (10) | −0.00031 (10) |
Rb2 | 0.00258 (9) | 0.00295 (9) | 0.00331 (12) | 0.00030 (9) | −0.00013 (10) | −0.00017 (10) |
Ti1 | 0.00241 (14) | 0.00253 (16) | 0.0018 (2) | 0.00007 (18) | −0.00010 (16) | −0.00025 (17) |
Ti2 | 0.00236 (14) | 0.00239 (17) | 0.0016 (2) | −0.00005 (16) | −0.00020 (15) | 0.00006 (17) |
As1 | 0.00177 (9) | 0.00188 (9) | 0.00130 (11) | 0.00003 (11) | 0.00008 (9) | 0.00011 (11) |
As2 | 0.00210 (9) | 0.00172 (10) | 0.00136 (11) | −0.00005 (11) | 0.00000 (11) | 0.00018 (10) |
O1 | 0.0047 (8) | 0.0048 (9) | 0.0033 (10) | −0.0015 (8) | 0.0013 (7) | −0.0012 (8) |
O2 | 0.0046 (9) | 0.0051 (9) | 0.0024 (10) | 0.0009 (8) | 0.0016 (7) | 0.0009 (7) |
O3 | 0.0025 (7) | 0.0044 (8) | 0.0052 (10) | −0.0009 (7) | −0.0006 (7) | 0.0010 (8) |
O4 | 0.0032 (8) | 0.0047 (8) | 0.0045 (11) | 0.0011 (7) | −0.0001 (7) | −0.0007 (8) |
O11 | 0.0044 (9) | 0.0048 (9) | 0.0040 (11) | 0.0004 (8) | −0.0008 (7) | −0.0007 (8) |
O12 | 0.0035 (8) | 0.0046 (9) | 0.0041 (11) | 0.0001 (8) | −0.0002 (7) | −0.0012 (8) |
O5 | 0.0053 (8) | 0.0028 (8) | 0.0037 (10) | −0.0012 (8) | −0.0002 (7) | −0.0002 (7) |
O6 | 0.0057 (8) | 0.0034 (8) | 0.0052 (10) | 0.0014 (8) | 0.0013 (8) | −0.0002 (7) |
O7 | 0.0043 (9) | 0.0048 (9) | 0.0030 (11) | 0.0000 (8) | 0.0012 (7) | 0.0010 (8) |
O8 | 0.0051 (9) | 0.0050 (9) | 0.0025 (10) | −0.0009 (8) | −0.0014 (7) | 0.0013 (7) |
Geometric parameters (Å, º) top
Rb1—Rb2 | 4.5521 (7) | Rb2—O5vii | 2.902 (3) |
Rb1—As1 | 3.4577 (6) | Ti1—O1 | 2.150 (3) |
Rb1—O1 | 3.071 (3) | Ti1—O11 | 1.977 (3) |
Rb1—O2 | 2.815 (3) | Ti1—O5ii | 2.058 (3) |
Rb1—O3i | 2.749 (3) | Ti1—O2viii | 1.942 (3) |
Rb1—O11 | 3.209 (3) | Ti1—O6ix | 2.023 (3) |
Rb1—O12i | 2.932 (3) | Ti1—O12ii | 1.722 (3) |
Rb1—O5ii | 2.959 (3) | Ti2i—O3i | 2.038 (2) |
Rb1—O6iii | 3.434 (3) | Ti2i—O12i | 2.121 (3) |
Rb1—O7ii | 3.254 (3) | Ti2i—O7ii | 1.950 (3) |
Rb1—O8 | 2.799 (3) | Ti2i—O4vi | 2.002 (2) |
Rb1—Rb2iv | 3.8232 (8) | Ti2i—O11i | 1.744 (3) |
Rb1—Rb2iii | 4.0503 (7) | Ti2i—O8i | 1.980 (7) |
Rb2—As2ii | 3.5350 (5) | As1—O1 | 1.644 (3) |
Rb2—O4v | 3.044 (3) | As1—O2 | 1.701 (3) |
Rb2—O11 | 2.891 (3) | As1—O3 | 1.688 (2) |
Rb2—O7ii | 3.004 (3) | As1—O4 | 1.684 (2) |
Rb2—O3ii | 3.135 (3) | As2ii—O5ii | 1.682 (3) |
Rb2—O12ii | 3.131 (3) | As2ii—O7ii | 1.706 (3) |
Rb2—O2ii | 3.063 (3) | As2ii—O6ii | 1.673 (3) |
Rb2—O8ii | 3.144 (5) | As2ii—O8ii | 1.675 (6) |
Rb2—O1vi | 2.757 (3) | ||
Rb2—Rb1—As1 | 97.056 (15) | Rb1ix—Rb2—O2ii | 89.80 (5) |
Rb2—Rb1—O1 | 84.57 (5) | Rb1ix—Rb2—O8ii | 87.73 (11) |
Rb2—Rb1—O2 | 122.45 (6) | Rb1ix—Rb2—Rb1vi | 121.488 (11) |
Rb2—Rb1—O3i | 94.35 (5) | Rb1ix—Rb2—O1vi | 139.68 (6) |
Rb2—Rb1—O11 | 39.13 (5) | Rb1ix—Rb2—O5vii | 88.95 (5) |
Rb2—Rb1—O12i | 69.13 (5) | O3ii—Rb2—O12ii | 52.64 (7) |
Rb2—Rb1—O5ii | 56.00 (5) | O3ii—Rb2—O2ii | 50.91 (7) |
Rb2—Rb1—O6iii | 170.93 (5) | O3ii—Rb2—O8ii | 53.59 (13) |
Rb2—Rb1—O7ii | 41.20 (5) | O3ii—Rb2—Rb1vi | 131.14 (5) |
Rb2—Rb1—O8 | 66.32 (13) | O3ii—Rb2—O1vi | 106.30 (7) |
Rb2—Rb1—Rb2iv | 122.241 (11) | O3ii—Rb2—O5vii | 84.30 (7) |
Rb2—Rb1—Rb2iii | 101.164 (18) | O12ii—Rb2—O2ii | 99.13 (7) |
As1—Rb1—O1 | 28.38 (5) | O12ii—Rb2—O8ii | 51.64 (8) |
As1—Rb1—O2 | 29.23 (6) | O12ii—Rb2—Rb1vi | 165.49 (5) |
As1—Rb1—O3i | 142.39 (5) | O12ii—Rb2—O1vi | 145.14 (8) |
As1—Rb1—O11 | 58.02 (5) | O12ii—Rb2—O5vii | 132.98 (7) |
As1—Rb1—O12i | 157.85 (5) | O2ii—Rb2—O8ii | 64.85 (9) |
As1—Rb1—O5ii | 79.83 (5) | O2ii—Rb2—Rb1vi | 90.84 (5) |
As1—Rb1—O6iii | 74.73 (4) | O2ii—Rb2—O1vi | 55.46 (8) |
As1—Rb1—O7ii | 126.81 (5) | O2ii—Rb2—O5vii | 55.26 (7) |
As1—Rb1—O8 | 69.61 (7) | O8ii—Rb2—Rb1vi | 142.87 (6) |
As1—Rb1—Rb2iv | 138.60 (2) | O8ii—Rb2—O1vi | 93.77 (8) |
As1—Rb1—Rb2iii | 64.441 (13) | O8ii—Rb2—O5vii | 120.02 (9) |
O1—Rb1—O2 | 54.40 (7) | Rb1vi—Rb2—O1vi | 49.27 (6) |
O1—Rb1—O3i | 118.79 (8) | Rb1vi—Rb2—O5vii | 46.88 (5) |
O1—Rb1—O11 | 51.58 (7) | O1vi—Rb2—O5vii | 55.76 (7) |
O1—Rb1—O12i | 152.65 (7) | O1—Ti1—O11 | 82.92 (11) |
O1—Rb1—O5ii | 52.08 (7) | O1—Ti1—O5ii | 77.99 (10) |
O1—Rb1—O6iii | 86.36 (7) | O1—Ti1—O2viii | 83.19 (11) |
O1—Rb1—O7ii | 102.05 (7) | O1—Ti1—O6ix | 86.56 (11) |
O1—Rb1—O8 | 87.45 (12) | O1—Ti1—O12ii | 171.11 (12) |
O1—Rb1—Rb2iv | 150.99 (5) | O11—Ti1—O5ii | 92.39 (11) |
O1—Rb1—Rb2iii | 42.86 (5) | O11—Ti1—O2viii | 165.79 (12) |
O2—Rb1—O3i | 138.44 (7) | O11—Ti1—O6ix | 88.84 (11) |
O2—Rb1—O11 | 83.97 (7) | O11—Ti1—O12ii | 97.25 (12) |
O2—Rb1—O12i | 148.09 (8) | O5ii—Ti1—O2viii | 87.60 (11) |
O2—Rb1—O5ii | 106.16 (7) | O5ii—Ti1—O6ix | 164.22 (11) |
O2—Rb1—O6iii | 50.85 (7) | O5ii—Ti1—O12ii | 93.12 (12) |
O2—Rb1—O7ii | 155.93 (7) | O2viii—Ti1—O6ix | 87.39 (11) |
O2—Rb1—O8 | 72.73 (8) | O2viii—Ti1—O12ii | 96.93 (13) |
O2—Rb1—Rb2iv | 109.67 (6) | O6ix—Ti1—O12ii | 102.33 (12) |
O2—Rb1—Rb2iii | 76.35 (5) | O3i—Ti2i—O12i | 83.82 (10) |
O3i—Rb1—O11 | 126.27 (7) | O3i—Ti2i—O7ii | 86.23 (11) |
O3i—Rb1—O12i | 58.45 (7) | O3i—Ti2i—O4vi | 172.59 (11) |
O3i—Rb1—O5ii | 77.25 (7) | O3i—Ti2i—O11i | 92.77 (12) |
O3i—Rb1—O6iii | 90.13 (7) | O3i—Ti2i—O8i | 89.56 (11) |
O3i—Rb1—O7ii | 53.22 (7) | O12i—Ti2i—O7ii | 85.75 (11) |
O3i—Rb1—O8 | 146.69 (8) | O12i—Ti2i—O4vi | 88.78 (10) |
O3i—Rb1—Rb2iv | 54.03 (6) | O12i—Ti2i—O11i | 175.50 (12) |
O3i—Rb1—Rb2iii | 78.23 (5) | O12i—Ti2i—O8i | 83.50 (18) |
O11—Rb1—O12i | 105.77 (7) | O7ii—Ti2i—O4vi | 92.95 (11) |
O11—Rb1—O5ii | 56.17 (7) | O7ii—Ti2i—O11i | 96.97 (12) |
O11—Rb1—O6iii | 132.73 (7) | O7ii—Ti2i—O8i | 168.82 (18) |
O11—Rb1—O7ii | 75.83 (7) | O4vi—Ti2i—O11i | 94.64 (12) |
O11—Rb1—O8 | 53.28 (17) | O4vi—Ti2i—O8i | 89.89 (11) |
O11—Rb1—Rb2iv | 157.39 (5) | O11i—Ti2i—O8i | 93.57 (18) |
O11—Rb1—Rb2iii | 85.89 (5) | Rb1—As1—O1 | 62.64 (9) |
O12i—Rb1—O5ii | 104.35 (7) | Rb1—As1—O2 | 53.94 (9) |
O12i—Rb1—O6iii | 119.87 (7) | Rb1—As1—O3 | 95.02 (8) |
O12i—Rb1—O7ii | 52.95 (7) | Rb1—As1—O4 | 154.83 (9) |
O12i—Rb1—O8 | 88.68 (9) | O1—As1—O2 | 107.67 (13) |
O12i—Rb1—Rb2iv | 53.26 (5) | O1—As1—O3 | 113.21 (13) |
O12i—Rb1—Rb2iii | 133.63 (5) | O1—As1—O4 | 112.43 (13) |
O5ii—Rb1—O6iii | 117.69 (7) | O2—As1—O3 | 103.72 (13) |
O5ii—Rb1—O7ii | 51.40 (7) | O2—As1—O4 | 110.62 (13) |
O5ii—Rb1—O8 | 109.14 (17) | O3—As1—O4 | 108.85 (12) |
O5ii—Rb1—Rb2iv | 131.27 (5) | Rb2—As2ii—O5ii | 85.60 (9) |
O5ii—Rb1—Rb2iii | 45.71 (5) | Rb2—As2ii—O7ii | 58.04 (9) |
O6iii—Rb1—O7ii | 142.06 (6) | Rb2—As2ii—O6ii | 163.21 (9) |
O6iii—Rb1—O8 | 113.17 (12) | Rb2—As2ii—O8ii | 62.77 (18) |
O6iii—Rb1—Rb2iv | 66.68 (4) | O5ii—As2ii—O7ii | 106.09 (13) |
O6iii—Rb1—Rb2iii | 72.02 (5) | O5ii—As2ii—O6ii | 110.98 (12) |
O7ii—Rb1—O8 | 104.19 (12) | O5ii—As2ii—O8ii | 111.70 (13) |
O7ii—Rb1—Rb2iv | 93.72 (5) | O7ii—As2ii—O6ii | 112.46 (13) |
O7ii—Rb1—Rb2iii | 89.12 (5) | O7ii—As2ii—O8ii | 104.5 (2) |
O8—Rb1—Rb2iv | 112.28 (15) | O6ii—As2ii—O8ii | 110.87 (19) |
O8—Rb1—Rb2iii | 130.30 (12) | Rb1—O1—Ti1 | 95.80 (9) |
Rb2iv—Rb1—Rb2iii | 114.353 (12) | Rb1—O1—As1 | 88.98 (11) |
Rb1—Rb2—As2ii | 53.530 (14) | Rb1—O1—Rb2iii | 87.88 (7) |
Rb1—Rb2—O4v | 77.34 (5) | Ti1—O1—As1 | 128.82 (15) |
Rb1—Rb2—O11 | 44.47 (5) | Ti1—O1—Rb2iii | 99.91 (10) |
Rb1—Rb2—O7ii | 45.54 (5) | As1—O1—Rb2iii | 131.23 (14) |
Rb1—Rb2—Rb1ix | 118.896 (11) | Rb1—O2—As1 | 96.83 (11) |
Rb1—Rb2—O3ii | 127.64 (4) | Rb1—O2—Ti1x | 123.21 (12) |
Rb1—Rb2—O12ii | 79.90 (5) | Rb1—O2—Rb2xi | 107.32 (8) |
Rb1—Rb2—O2ii | 134.89 (5) | As1—O2—Ti1x | 129.53 (15) |
Rb1—Rb2—O8ii | 81.23 (11) | As1—O2—Rb2xi | 100.86 (11) |
Rb1—Rb2—Rb1vi | 100.501 (18) | Ti1x—O2—Rb2xi | 95.34 (10) |
Rb1—Rb2—O1vi | 101.09 (6) | Rb1—O3i—Ti2i | 103.40 (9) |
Rb1—Rb2—O5vii | 146.89 (5) | Rb1—O3i—As1i | 128.55 (12) |
As2ii—Rb2—O4v | 127.61 (5) | Rb1—O3i—Rb2iv | 80.76 (7) |
As2ii—Rb2—O11 | 75.41 (6) | Ti2i—O3i—As1i | 127.34 (14) |
As2ii—Rb2—O7ii | 28.82 (5) | Ti2i—O3i—Rb2iv | 97.63 (9) |
As2ii—Rb2—Rb1ix | 105.768 (18) | As1i—O3i—Rb2iv | 98.49 (11) |
As2ii—Rb2—O3ii | 80.84 (5) | Rb2—O4v—Ti2 | 98.27 (9) |
As2ii—Rb2—O12ii | 58.92 (5) | Rb2—O4v—As1v | 126.05 (12) |
As2ii—Rb2—O2ii | 87.04 (5) | Ti2—O4v—As1v | 130.89 (14) |
As2ii—Rb2—O8ii | 28.28 (12) | Rb1—O11—Rb2 | 96.40 (8) |
As2ii—Rb2—Rb1vi | 132.694 (18) | Rb1—O11—Ti1 | 95.37 (10) |
As2ii—Rb2—O1vi | 93.31 (6) | Rb1—O11—Ti2 | 99.79 (11) |
As2ii—Rb2—O5vii | 139.86 (5) | Rb2—O11—Ti1 | 100.75 (10) |
O4v—Rb2—O11 | 55.34 (7) | Rb2—O11—Ti2 | 111.13 (12) |
O4v—Rb2—O7ii | 120.72 (7) | Ti1—O11—Ti2 | 142.63 (16) |
O4v—Rb2—Rb1ix | 80.88 (5) | Rb1—O12i—Ti2i | 95.60 (9) |
O4v—Rb2—O3ii | 125.84 (7) | Rb1—O12i—Rb2iv | 78.11 (6) |
O4v—Rb2—O12ii | 99.35 (7) | Rb1—O12i—Ti1iv | 124.81 (13) |
O4v—Rb2—O2ii | 145.34 (7) | Ti2i—O12i—Rb2iv | 95.95 (9) |
O4v—Rb2—O8ii | 146.78 (7) | Ti2i—O12i—Ti1iv | 139.01 (15) |
O4v—Rb2—Rb1vi | 66.87 (5) | Rb2iv—O12i—Ti1iv | 98.69 (11) |
O4v—Rb2—O1vi | 114.99 (7) | Rb1—O5ii—Ti1 | 101.35 (9) |
O4v—Rb2—O5vii | 91.04 (7) | Rb1—O5ii—As2ii | 104.55 (11) |
O11—Rb2—O7ii | 84.70 (7) | Rb1—O5ii—Rb2iii | 87.41 (7) |
O11—Rb2—Rb1ix | 76.42 (5) | Ti1—O5ii—As2ii | 130.94 (14) |
O11—Rb2—O3ii | 105.80 (7) | Ti1—O5ii—Rb2iii | 97.72 (9) |
O11—Rb2—O12ii | 54.82 (7) | As2ii—O5ii—Rb2iii | 124.16 (12) |
O11—Rb2—O2ii | 153.49 (7) | Rb1—O6iii—Ti1x | 97.46 (9) |
O11—Rb2—O8ii | 91.71 (8) | Rb1—O6iii—As2iii | 128.34 (12) |
O11—Rb2—Rb1vi | 115.66 (6) | Ti1x—O6iii—As2iii | 133.65 (15) |
O11—Rb2—O1vi | 143.63 (8) | Rb1—O7ii—Rb2 | 93.26 (7) |
O11—Rb2—O5vii | 144.71 (7) | Rb1—O7ii—Ti2i | 89.60 (9) |
O7ii—Rb2—Rb1ix | 134.53 (5) | Rb1—O7ii—As2ii | 93.03 (10) |
O7ii—Rb2—O3ii | 104.49 (7) | Rb2—O7ii—Ti2i | 140.92 (12) |
O7ii—Rb2—O12ii | 86.75 (7) | Rb2—O7ii—As2ii | 93.15 (10) |
O7ii—Rb2—O2ii | 89.38 (7) | Ti2i—O7ii—As2ii | 125.63 (15) |
O7ii—Rb2—O8ii | 51.50 (13) | Rb1—O8—Ti2 | 108.3 (3) |
O7ii—Rb2—Rb1vi | 103.98 (5) | Rb1—O8—Rb2xi | 105.57 (11) |
O7ii—Rb2—O1vi | 71.12 (8) | Rb1—O8—As2 | 115.05 (18) |
O7ii—Rb2—O5vii | 126.22 (7) | Ti2—O8—Rb2xi | 98.65 (10) |
Rb1ix—Rb2—O3ii | 45.21 (5) | Ti2—O8—As2 | 131.98 (16) |
Rb1ix—Rb2—O12ii | 48.63 (5) | Rb2xi—O8—As2 | 89.0 (3) |
Symmetry codes: (i) x, y+1, z; (ii) −x+1/2, y+1/2, z+1/2; (iii) x+1/2, −y+3/2, z; (iv) −x+1/2, y+1/2, z−1/2; (v) x−1/2, −y+1/2, z; (vi) x−1/2, −y+3/2, z; (vii) −x, −y+1, z+1/2; (viii) −x+1, −y+1, z+1/2; (ix) −x+1/2, y−1/2, z+1/2; (x) −x+1, −y+1, z−1/2; (xi) −x+1/2, y−1/2, z−1/2. |
(RoomT) top
Crystal data top
RbTiOAsO4 | Dx = 4.015 Mg m−3 |
Mr = 288.27 | Mo Kα radiation, λ = 0.71069 Å |
Orthorhombic, Pna21 | Cell parameters from 18 reflections |
Hall symbol: P 2c -2n | θ = 7.1–17.4° |
a = 13.261 (2) Å | µ = 18.74 mm−1 |
b = 6.6791 (8) Å | T = 295 K |
c = 10.769 (1) Å | KTP morphology, colourless |
V = 953.8 (2) Å3 | 0.58 × 0.54 × 0.36 mm |
Z = 8 |
Data collection top
Huber 512 diffractometer | Rint = 0.055 |
profile data from ω/2θ scans | θmax = 50.1°, θmin = 3.1° |
Absorption correction: analytical Alcock (1974) | h = 0→28 |
Tmin = 0.008, Tmax = 0.066 | k = 0→14 |
9854 measured reflections | l = −21→22 |
5125 independent reflections | 3 standard reflections every 100 reflections |
4852 reflections with refl observed if F > 2 σ(F ) | intensity decay: none |
Refinement top
Refinement on F | (Δ/σ)max = 0.255-03 |
Least-squares matrix: full | Δρmax = 3.06 e Å−3 |
R[F2 > 2σ(F2)] = 0.055 | Δρmin = −2.84 e Å−3 |
wR(F2) = 0.043 | Extinction correction: Zachariasen 1968), Eq22 p292 "Cryst. Comp." Munksgaard 1970 |
S = 4.76 | Extinction coefficient: 17128 (240) |
4796 reflections | Absolute structure: Flack XABS refined |
146 parameters | Absolute structure parameter: 0.59 (1) |
1/σ2 |
Crystal data top
RbTiOAsO4 | V = 953.8 (2) Å3 |
Mr = 288.27 | Z = 8 |
Orthorhombic, Pna21 | Mo Kα radiation |
a = 13.261 (2) Å | µ = 18.74 mm−1 |
b = 6.6791 (8) Å | T = 295 K |
c = 10.769 (1) Å | 0.58 × 0.54 × 0.36 mm |
Data collection top
Huber 512 diffractometer | 4852 reflections with refl observed if F > 2 σ(F ) |
Absorption correction: analytical Alcock (1974) | Rint = 0.055 |
Tmin = 0.008, Tmax = 0.066 | 3 standard reflections every 100 reflections |
9854 measured reflections | intensity decay: none |
5125 independent reflections |
Refinement top
R[F2 > 2σ(F2)] = 0.055 | Δρmax = 3.06 e Å−3 |
wR(F2) = 0.043 | Δρmin = −2.84 e Å−3 |
S = 4.76 | Absolute structure: Flack XABS refined |
4796 reflections | Absolute structure parameter: 0.59 (1) |
146 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
x | y | z | Uiso*/Ueq | ||
Rb1 | 0.38304 (6) | 0.78228 (10) | 0.68223 (13) | 0.0209 (3) | |
Rb2 | 0.10905 (5) | 0.69381 (11) | 0.93537 (13) | 0.0172 (3) | |
Ti1 | 0.37370 (7) | 0.50486 (18) | 1.00974 (15) | 0.0060 (3) | |
Ti2 | 0.24874 (9) | 0.26985 (15) | 0.75971 (14) | 0.0057 (3) | |
As1 | 0.49964 (5) | 0.32826 (8) | 0.75318 (12) | 0.00538 (17) | |
As2 | 0.17988 (4) | 0.50516 (11) | 0.49892 (12) | 0.00579 (18) | |
O1 | 0.4874 (4) | 0.4888 (9) | 0.8681 (5) | 0.011 (2) | |
O2 | 0.5102 (4) | 0.4614 (9) | 0.6189 (5) | 0.010 (2) | |
O3 | 0.3952 (4) | 0.1881 (7) | 0.7306 (5) | 0.011 (2) | |
O4 | 0.6002 (3) | 0.1776 (7) | 0.7725 (5) | 0.0095 (19) | |
O11 | 0.2818 (4) | 0.4522 (8) | 0.8683 (5) | 0.009 (2) | |
O12 | 0.2177 (4) | 0.0558 (8) | 0.6181 (5) | 0.009 (2) | |
O5 | 0.1099 (4) | 0.3031 (7) | 0.4607 (5) | 0.0100 (18) | |
O6 | 0.1072 (4) | 0.7043 (7) | 0.5308 (5) | 0.013 (2) | |
O7 | 0.2580 (4) | 0.5444 (8) | 0.3746 (4) | 0.010 (2) | |
O8 | 0.2578 (4) | 0.4584 (8) | 0.6172 (15) | 0.011 (2) |
Atomic displacement parameters (Å2) top
U11 | U22 | U33 | U12 | U13 | U23 | |
Rb1 | 0.0226 (3) | 0.0100 (3) | 0.0299 (4) | 0.0030 (3) | −0.0076 (3) | −0.0031 (3) |
Rb2 | 0.0119 (2) | 0.0155 (3) | 0.0243 (4) | 0.0035 (3) | −0.0013 (3) | −0.0020 (3) |
Ti1 | 0.0059 (2) | 0.0066 (3) | 0.0054 (4) | 0.0001 (4) | 0.0002 (3) | −0.0008 (3) |
Ti2 | 0.0059 (2) | 0.0069 (3) | 0.0044 (3) | −0.0002 (3) | −0.0005 (3) | −0.0001 (4) |
As1 | 0.00448 (14) | 0.00624 (16) | 0.00542 (19) | −0.0000 (2) | 0.00063 (16) | −0.0002 (2) |
As2 | 0.00695 (16) | 0.00517 (18) | 0.0053 (2) | −0.0003 (2) | −0.0001 (2) | 0.00068 (18) |
O1 | 0.0104 (18) | 0.013 (2) | 0.010 (2) | −0.0024 (18) | 0.0030 (15) | −0.0045 (18) |
O2 | 0.011 (2) | 0.014 (2) | 0.0062 (19) | 0.0028 (18) | 0.0035 (15) | 0.0042 (15) |
O3 | 0.0061 (15) | 0.0089 (17) | 0.019 (3) | −0.0012 (16) | 0.0000 (16) | −0.0002 (18) |
O4 | 0.0038 (15) | 0.0083 (16) | 0.016 (3) | 0.0008 (15) | −0.0011 (15) | 0.0009 (17) |
O11 | 0.0083 (18) | 0.012 (2) | 0.007 (2) | 0.0010 (17) | −0.0025 (14) | −0.0019 (16) |
O12 | 0.010 (2) | 0.0106 (19) | 0.006 (2) | 0.0003 (17) | −0.0010 (14) | −0.0013 (15) |
O5 | 0.0127 (18) | 0.0085 (16) | 0.009 (2) | −0.0023 (18) | −0.0034 (16) | −0.0005 (15) |
O6 | 0.0116 (18) | 0.0067 (16) | 0.021 (3) | 0.0029 (18) | 0.0041 (18) | 0.0015 (17) |
O7 | 0.013 (2) | 0.012 (2) | 0.004 (2) | 0.002 (2) | 0.0022 (15) | 0.0039 (15) |
O8 | 0.013 (2) | 0.014 (2) | 0.008 (2) | −0.005 (2) | −0.0047 (16) | 0.0027 (16) |
Geometric parameters (Å, º) top
Rb1—Rb2 | 4.5807 (15) | Rb2—O5vii | 2.916 (5) |
Rb1—As1 | 3.4886 (10) | Ti1—O1 | 2.147 (6) |
Rb1—O1 | 3.125 (6) | Ti1—O11 | 1.982 (5) |
Rb1—O2 | 2.811 (6) | Ti1—O5ii | 2.072 (5) |
Rb1—O3i | 2.765 (5) | Ti1—O2viii | 1.950 (5) |
Rb1—O11 | 3.268 (5) | Ti1—O6ix | 2.036 (5) |
Rb1—O12i | 2.937 (6) | Ti1—O12ii | 1.716 (5) |
Rb1—O5ii | 3.004 (5) | Ti2i—O3i | 2.042 (5) |
Rb1—O6iii | 3.392 (6) | Ti2i—O12i | 2.131 (5) |
Rb1—O7ii | 3.294 (5) | Ti2i—O7ii | 1.950 (5) |
Rb1—O8 | 2.816 (7) | Ti2i—O4vi | 2.005 (5) |
Rb1—Rb2iv | 3.8255 (16) | Ti2i—O11i | 1.745 (5) |
Rb1—Rb2iii | 4.0545 (16) | Ti2i—O8i | 1.989 (13) |
Rb2—As2ii | 3.5535 (10) | As1—O1 | 1.646 (6) |
Rb2—O4v | 3.040 (5) | As1—O2 | 1.703 (5) |
Rb2—O11 | 2.893 (5) | As1—O3 | 1.689 (5) |
Rb2—O7ii | 3.004 (6) | As1—O4 | 1.684 (5) |
Rb2—O3ii | 3.181 (6) | As2ii—O5ii | 1.689 (5) |
Rb2—O12ii | 3.163 (5) | As2ii—O7ii | 1.713 (5) |
Rb2—O2ii | 3.099 (6) | As2ii—O6ii | 1.678 (5) |
Rb2—O8ii | 3.174 (11) | As2ii—O8ii | 1.669 (13) |
Rb2—O1vi | 2.761 (6) | ||
Rb2—Rb1—As1 | 96.27 (3) | Rb1ix—Rb2—O2ii | 89.15 (11) |
Rb2—Rb1—O1 | 83.64 (11) | Rb1ix—Rb2—O8ii | 87.5 (2) |
Rb2—Rb1—O2 | 121.46 (11) | Rb1ix—Rb2—Rb1vi | 121.05 (3) |
Rb2—Rb1—O3i | 93.47 (11) | Rb1ix—Rb2—O1vi | 138.60 (12) |
Rb2—Rb1—O11 | 38.93 (10) | Rb1ix—Rb2—O5vii | 88.12 (10) |
Rb2—Rb1—O12i | 68.15 (10) | O3ii—Rb2—O12ii | 52.21 (13) |
Rb2—Rb1—O5ii | 55.71 (10) | O3ii—Rb2—O2ii | 50.23 (13) |
Rb2—Rb1—O6iii | 169.98 (10) | O3ii—Rb2—O8ii | 53.1 (3) |
Rb2—Rb1—O7ii | 40.90 (10) | O3ii—Rb2—Rb1vi | 131.27 (9) |
Rb2—Rb1—O8 | 65.2 (3) | O3ii—Rb2—O1vi | 105.14 (14) |
Rb2—Rb1—Rb2iv | 121.87 (3) | O3ii—Rb2—O5vii | 83.62 (13) |
Rb2—Rb1—Rb2iii | 101.03 (4) | O12ii—Rb2—O2ii | 98.17 (14) |
As1—Rb1—O1 | 28.13 (10) | O12ii—Rb2—O8ii | 51.27 (16) |
As1—Rb1—O2 | 28.90 (11) | O12ii—Rb2—Rb1vi | 165.21 (10) |
As1—Rb1—O3i | 141.72 (11) | O12ii—Rb2—O1vi | 144.25 (15) |
As1—Rb1—O11 | 57.42 (10) | O12ii—Rb2—O5vii | 131.84 (14) |
As1—Rb1—O12i | 157.41 (11) | O2ii—Rb2—O8ii | 64.49 (18) |
As1—Rb1—O5ii | 78.92 (10) | O2ii—Rb2—Rb1vi | 91.65 (10) |
As1—Rb1—O6iii | 74.92 (9) | O2ii—Rb2—O1vi | 54.98 (15) |
As1—Rb1—O7ii | 125.17 (10) | O2ii—Rb2—O5vii | 55.11 (14) |
As1—Rb1—O8 | 69.40 (15) | O8ii—Rb2—Rb1vi | 143.51 (13) |
As1—Rb1—Rb2iv | 139.87 (4) | O8ii—Rb2—O1vi | 93.39 (17) |
As1—Rb1—Rb2iii | 63.85 (3) | O8ii—Rb2—O5vii | 119.5 (2) |
O1—Rb1—O2 | 53.95 (14) | Rb1vi—Rb2—O1vi | 50.32 (12) |
O1—Rb1—O3i | 117.93 (16) | Rb1vi—Rb2—O5vii | 47.68 (10) |
O1—Rb1—O11 | 50.65 (14) | O1vi—Rb2—O5vii | 55.77 (15) |
O1—Rb1—O12i | 150.65 (15) | O1—Ti1—O11 | 83.0 (2) |
O1—Rb1—O5ii | 51.37 (14) | O1—Ti1—O5ii | 78.1 (2) |
O1—Rb1—O6iii | 86.36 (14) | O1—Ti1—O2viii | 83.1 (2) |
O1—Rb1—O7ii | 100.49 (14) | O1—Ti1—O6ix | 86.7 (2) |
O1—Rb1—O8 | 86.5 (3) | O1—Ti1—O12ii | 171.3 (2) |
O1—Rb1—Rb2iv | 152.10 (11) | O11—Ti1—O5ii | 92.3 (2) |
O1—Rb1—Rb2iii | 42.83 (11) | O11—Ti1—O2viii | 165.7 (2) |
O2—Rb1—O3i | 139.30 (16) | O11—Ti1—O6ix | 89.3 (2) |
O2—Rb1—O11 | 83.17 (15) | O11—Ti1—O12ii | 97.1 (2) |
O2—Rb1—O12i | 149.91 (15) | O5ii—Ti1—O2viii | 87.7 (2) |
O2—Rb1—O5ii | 105.00 (15) | O5ii—Ti1—O6ix | 164.4 (2) |
O2—Rb1—O6iii | 51.52 (14) | O5ii—Ti1—O12ii | 93.3 (2) |
O2—Rb1—O7ii | 153.94 (14) | O2viii—Ti1—O6ix | 87.1 (2) |
O2—Rb1—O8 | 73.01 (17) | O2viii—Ti1—O12ii | 97.2 (2) |
O2—Rb1—Rb2iv | 111.27 (11) | O6ix—Ti1—O12ii | 102.0 (2) |
O2—Rb1—Rb2iii | 75.50 (11) | O3i—Ti2i—O12i | 84.0 (2) |
O3i—Rb1—O11 | 124.72 (15) | O3i—Ti2i—O7ii | 86.2 (2) |
O3i—Rb1—O12i | 58.53 (15) | O3i—Ti2i—O4vi | 172.6 (2) |
O3i—Rb1—O5ii | 76.38 (15) | O3i—Ti2i—O11i | 92.9 (2) |
O3i—Rb1—O6iii | 90.78 (14) | O3i—Ti2i—O8i | 89.6 (2) |
O3i—Rb1—O7ii | 52.66 (14) | O12i—Ti2i—O7ii | 85.8 (2) |
O3i—Rb1—O8 | 146.55 (16) | O12i—Ti2i—O4vi | 88.7 (2) |
O3i—Rb1—Rb2iv | 54.90 (12) | O12i—Ti2i—O11i | 175.5 (2) |
O3i—Rb1—Rb2iii | 77.97 (11) | O12i—Ti2i—O8i | 83.4 (4) |
O11—Rb1—O12i | 104.90 (14) | O7ii—Ti2i—O4vi | 92.7 (2) |
O11—Rb1—O5ii | 55.37 (13) | O7ii—Ti2i—O11i | 97.2 (2) |
O11—Rb1—O6iii | 132.29 (13) | O7ii—Ti2i—O8i | 168.8 (4) |
O11—Rb1—O7ii | 74.91 (13) | O4vi—Ti2i—O11i | 94.5 (2) |
O11—Rb1—O8 | 52.6 (3) | O4vi—Ti2i—O8i | 90.1 (2) |
O11—Rb1—Rb2iv | 157.25 (10) | O11i—Ti2i—O8i | 93.4 (4) |
O11—Rb1—Rb2iii | 85.30 (10) | Rb1—As1—O1 | 63.6 (2) |
O12i—Rb1—O5ii | 103.26 (14) | Rb1—As1—O2 | 52.90 (19) |
O12i—Rb1—O6iii | 121.66 (14) | Rb1—As1—O3 | 94.98 (17) |
O12i—Rb1—O7ii | 52.65 (13) | Rb1—As1—O4 | 153.85 (17) |
O12i—Rb1—O8 | 88.79 (18) | O1—As1—O2 | 107.9 (3) |
O12i—Rb1—Rb2iv | 53.84 (10) | O1—As1—O3 | 112.8 (3) |
O12i—Rb1—Rb2iii | 133.29 (11) | O1—As1—O4 | 112.0 (3) |
O5ii—Rb1—O6iii | 116.84 (14) | O2—As1—O3 | 103.6 (3) |
O5ii—Rb1—O7ii | 50.61 (13) | O2—As1—O4 | 110.6 (3) |
O5ii—Rb1—O8 | 107.6 (3) | O3—As1—O4 | 109.6 (2) |
O5ii—Rb1—Rb2iv | 131.28 (10) | Rb2—As2ii—O5ii | 85.32 (18) |
O5ii—Rb1—Rb2iii | 45.88 (10) | Rb2—As2ii—O7ii | 57.51 (18) |
O6iii—Rb1—O7ii | 141.79 (13) | Rb2—As2ii—O6ii | 162.87 (18) |
O6iii—Rb1—O8 | 114.7 (2) | Rb2—As2ii—O8ii | 63.3 (4) |
O6iii—Rb1—Rb2iv | 67.84 (9) | O5ii—As2ii—O7ii | 105.3 (3) |
O6iii—Rb1—Rb2iii | 70.99 (10) | O5ii—As2ii—O6ii | 111.6 (3) |
O7ii—Rb1—O8 | 103.3 (2) | O5ii—As2ii—O8ii | 112.1 (3) |
O7ii—Rb1—Rb2iv | 94.05 (9) | O7ii—As2ii—O6ii | 112.7 (3) |
O7ii—Rb1—Rb2iii | 88.63 (10) | O7ii—As2ii—O8ii | 104.5 (4) |
O8—Rb1—Rb2iv | 113.3 (3) | O6ii—As2ii—O8ii | 110.3 (4) |
O8—Rb1—Rb2iii | 129.3 (2) | Rb1—O1—Ti1 | 96.5 (2) |
Rb2iv—Rb1—Rb2iii | 114.75 (3) | Rb1—O1—As1 | 88.3 (2) |
Rb1—Rb2—As2ii | 54.15 (3) | Rb1—O1—Rb2iii | 86.85 (16) |
Rb1—Rb2—O4v | 78.03 (9) | Ti1—O1—As1 | 129.5 (3) |
Rb1—Rb2—O11 | 45.21 (11) | Ti1—O1—Rb2iii | 100.7 (2) |
Rb1—Rb2—O7ii | 45.89 (10) | As1—O1—Rb2iii | 129.8 (3) |
Rb1—Rb2—Rb1ix | 118.98 (3) | Rb1—O2—As1 | 98.2 (2) |
Rb1—Rb2—O3ii | 127.63 (9) | Rb1—O2—Ti1x | 122.1 (3) |
Rb1—Rb2—O12ii | 80.30 (10) | Rb1—O2—Rb2xi | 106.75 (17) |
Rb1—Rb2—O2ii | 135.24 (11) | As1—O2—Ti1x | 129.6 (3) |
Rb1—Rb2—O8ii | 81.6 (2) | As1—O2—Rb2xi | 101.4 (2) |
Rb1—Rb2—Rb1vi | 100.44 (4) | Ti1x—O2—Rb2xi | 94.9 (2) |
Rb1—Rb2—O1vi | 102.03 (12) | Rb1—O3i—Ti2i | 103.6 (2) |
Rb1—Rb2—O5vii | 147.63 (10) | Rb1—O3i—As1i | 128.2 (2) |
As2ii—Rb2—O4v | 128.24 (9) | Rb1—O3i—Rb2iv | 79.76 (14) |
As2ii—Rb2—O11 | 75.57 (11) | Ti2i—O3i—As1i | 127.6 (3) |
As2ii—Rb2—O7ii | 28.76 (10) | Ti2i—O3i—Rb2iv | 97.7 (2) |
As2ii—Rb2—Rb1ix | 105.37 (4) | As1i—O3i—Rb2iv | 98.7 (2) |
As2ii—Rb2—O3ii | 80.12 (9) | Rb2—O4v—Ti2 | 98.32 (18) |
As2ii—Rb2—O12ii | 58.56 (10) | Rb2—O4v—As1v | 126.1 (2) |
As2ii—Rb2—O2ii | 86.66 (11) | Ti2—O4v—As1v | 131.7 (3) |
As2ii—Rb2—O8ii | 28.0 (2) | Rb1—O11—Rb2 | 95.86 (15) |
As2ii—Rb2—Rb1vi | 133.53 (3) | Rb1—O11—Ti1 | 95.7 (2) |
As2ii—Rb2—O1vi | 93.52 (12) | Rb1—O11—Ti2 | 99.4 (2) |
As2ii—Rb2—O5vii | 139.64 (10) | Rb2—O11—Ti1 | 101.3 (2) |
O4v—Rb2—O11 | 55.36 (13) | Rb2—O11—Ti2 | 111.0 (2) |
O4v—Rb2—O7ii | 122.21 (14) | Ti1—O11—Ti2 | 142.5 (3) |
O4v—Rb2—Rb1ix | 79.37 (10) | Rb1—O12i—Ti2i | 96.01 (19) |
O4v—Rb2—O3ii | 124.48 (14) | Rb1—O12i—Rb2iv | 77.59 (13) |
O4v—Rb2—O12ii | 98.57 (14) | Rb1—O12i—Ti1iv | 124.3 (3) |
O4v—Rb2—O2ii | 144.97 (14) | Ti2i—O12i—Rb2iv | 96.3 (2) |
O4v—Rb2—O8ii | 146.26 (14) | Ti2i—O12i—Ti1iv | 139.1 (3) |
O4v—Rb2—Rb1vi | 67.41 (9) | Rb2iv—O12i—Ti1iv | 98.5 (2) |
O4v—Rb2—O1vi | 116.93 (15) | Rb1—O5ii—Ti1 | 101.92 (19) |
O4v—Rb2—O5vii | 91.23 (13) | Rb1—O5ii—As2ii | 105.2 (2) |
O11—Rb2—O7ii | 85.16 (15) | Rb1—O5ii—Rb2iii | 86.44 (14) |
O11—Rb2—Rb1ix | 75.58 (11) | Ti1—O5ii—As2ii | 130.4 (3) |
O11—Rb2—O3ii | 104.87 (14) | Ti1—O5ii—Rb2iii | 97.77 (19) |
O11—Rb2—O12ii | 54.37 (14) | As2ii—O5ii—Rb2iii | 124.4 (2) |
O11—Rb2—O2ii | 152.23 (15) | Rb1—O6iii—Ti1x | 97.83 (19) |
O11—Rb2—O8ii | 91.38 (16) | Rb1—O6iii—As2iii | 128.5 (2) |
O11—Rb2—Rb1vi | 116.07 (11) | Ti1x—O6iii—As2iii | 133.4 (3) |
O11—Rb2—O1vi | 145.63 (16) | Rb1—O7ii—Rb2 | 93.21 (14) |
O11—Rb2—O5vii | 144.64 (15) | Rb1—O7ii—Ti2i | 89.18 (17) |
O7ii—Rb2—Rb1ix | 134.07 (10) | Rb1—O7ii—As2ii | 93.8 (2) |
O7ii—Rb2—O3ii | 103.75 (13) | Rb2—O7ii—Ti2i | 140.1 (3) |
O7ii—Rb2—O12ii | 86.35 (14) | Rb2—O7ii—As2ii | 93.7 (2) |
O7ii—Rb2—O2ii | 89.37 (15) | Ti2i—O7ii—As2ii | 125.9 (3) |
O7ii—Rb2—O8ii | 51.2 (2) | Rb1—O8—Ti2 | 109.3 (6) |
O7ii—Rb2—Rb1vi | 104.87 (10) | Rb1—O8—Rb2xi | 104.7 (2) |
O7ii—Rb2—O1vi | 71.77 (16) | Rb1—O8—As2 | 114.3 (4) |
O7ii—Rb2—O5vii | 126.83 (15) | Ti2—O8—Rb2xi | 99.0 (2) |
Rb1ix—Rb2—O3ii | 45.33 (9) | Ti2—O8—As2 | 132.0 (3) |
Rb1ix—Rb2—O12ii | 48.56 (10) | Rb2xi—O8—As2 | 88.7 (6) |
Symmetry codes: (i) x, y+1, z; (ii) −x+1/2, y+1/2, z+1/2; (iii) x+1/2, −y+3/2, z; (iv) −x+1/2, y+1/2, z−1/2; (v) x−1/2, −y+1/2, z; (vi) x−1/2, −y+3/2, z; (vii) −x, −y+1, z+1/2; (viii) −x+1, −y+1, z+1/2; (ix) −x+1/2, y−1/2, z+1/2; (x) −x+1, −y+1, z−1/2; (xi) −x+1/2, y−1/2, z−1/2. |
Experimental details
(LowT) | (RoomT) | |
Crystal data | ||
Chemical formula | RbTiOAsO4 | RbTiOAsO4 |
Mr | 288.27 | 288.27 |
Crystal system, space group | Orthorhombic, Pna21 | Orthorhombic, Pna21 |
Temperature (K) | 10 | 295 |
a, b, c (Å) | 13.218 (1), 6.6500 (9), 10.761 (1) | 13.261 (2), 6.6791 (8), 10.769 (1) |
V (Å3) | 945.89 (17) | 953.8 (2) |
Z | 8 | 8 |
Radiation type | Mo Kα | Mo Kα |
µ (mm−1) | 18.90 | 18.74 |
Crystal size (mm) | 0.58 × 0.54 × 0.36 | 0.58 × 0.54 × 0.36 |
Data collection | ||
Diffractometer | Huber 512 diffractometer | Huber 512 diffractometer |
Absorption correction | Analytical Alcock (1974) | Analytical Alcock (1974) |
Tmin, Tmax | 0.008, 0.066 | 0.008, 0.066 |
No. of measured, independent and observed reflections | 15878, 5090, 5020 [refl observed if F > 2 σ(F )] | 9854, 5125, 4852 [refl observed if F > 2 σ(F )] |
Rint | 0.022 | 0.055 |
(sin θ/λ)max (Å−1) | 1.080 | 1.079 |
Refinement | ||
R[F2 > 2σ(F2)], wR(F2), S | 0.032, 0.026, 4.60 | 0.055, 0.043, 4.76 |
No. of reflections | 5006 | 4796 |
No. of parameters | 146 | 146 |
No. of restraints | ? | ? |
Δρmax, Δρmin (e Å−3) | 1.53, −1.84 | 3.06, −2.84 |
Absolute structure | Flack XABS refined | Flack XABS refined |
Absolute structure parameter | 0.546 (6) | 0.59 (1) |
Computer programs: Xtal DIFDAT ADDREF ABSORB SORTRF, Xtal CRYLSQ, Xtal CIFIO.
Atom to plane distances to selected least-squares
planes in the Ti octahedra (Å) top
Plane | LowT | RoomT | Plane | LowT | RoomT |
Ti1 | 0.020 (1) | 0.014 (2) | Ti2 | 0.015 (1) | 0.009 (2) |
O1 | 0.118 (3) | 0.126 (7) | O7iv | 0.010 (4) | 0.013 (8) |
O2vii | 0.056 (3) | 0.050 (7) | O8 | 0.076 (9) | 0.08 (2) |
O11 | 0.054 (3) | 0.044 (7) | O11 | 0.049 (3) | 0.052 (7) |
O12iii | 0.137 (3) | 0.134 (7) | O12 | 0.040 (3) | 0.042 (7) |
Ti1 | 0.010 (1) | 0.007 (2) | Ti2 | 0.029 (1) | 0.021 (1) |
O1 | 0.018 (3) | 0.019 (7) | O3 | 0.096 (3) | 0.104 (7) |
O5iii | 0.044 (3) | 0.050 (7) | O4vi | 0.106 (3) | 0.112 (7) |
O6iv | 0.049 (3) | 0.057 (7) | O7iv | 0.001 (4) | 0.036 (8) |
O12iii | 0.007 (3) | 0.005 (7) | O8 | 0.001 (8) | 0.29 (2) |
Selected geometric parameters (Å, °) top
LowT | RoomT | |
Rb1-O1 | 3.071 (3) | 3.125 (6) |
Rb1-O11 | 3.209 (3) | 3.268 (5) |
Rb1-O12i | 2.932 (3) | 2.937 (6) |
Rb1-O6ii | 3.434 (3) | 3.392 (6) |
Rb2-O11 | 2.891 (3) | 2.893 (5) |
Rb2-O12iii | 3.131 (3) | 3.163 (5) |
Rb2-O2iii | 3.063 (3) | 3.099 (6) |
Ti1-O1 | 2.150 (3) | 2.147 (6) |
Ti1-O11 | 1.977 (3) | 1.982 (5) |
Ti1-O2vii | 1.942 (3) | 1.950 (5) |
Ti1-O5iii | 2.058 (3) | 2.072 (5) |
Ti1-O6iv | 2.023 (3) | 2.036 (5) |
Ti1-O12iii | 1.722 (3) | 1.716 (5) |
Ti2-O3 | 2.038 (2) | 2.042 (5) |
Ti2-O12 | 2.121 (3) | 2.131 (5) |
Ti2-O7iv | 1.950 (3) | 1.950 (5) |
Ti2-O4vi | 2.002 (2) | 2.005 (5) |
Ti2-O11 | 1.744 (3) | 1.745 (5) |
Ti2-O8 | 1.980 (7) | 1.989 (13) |
As1-O1 | 1.644 (3) | 1.646 (6) |
As1-O2 | 1.701 (3) | 1.703 (5) |
As1-O3 | 1.688 (2) | 1.689 (5) |
As1-O4 | 1.684 (2) | 1.684 (5) |
As2-O5 | 1.682 (3) | 1.689 (5) |
As2-O7 | 1.706 (3) | 1.713 (5) |
As2-O6 | 1.673 (3) | 1.678 (5) |
As2-O8 | 1.675 (6) | 1.669 (13) |
O1-Rb1-O11 | 51.58 (7) | 50.65 (14) |
O1-Rb1-O12i | 152.65 (7) | 150.65 (15) |
O11-Rb1-O12i | 105.77 (7) | 104.90 (14) |
O11-Rb2-O12iii | 54.82 (7) | 54.37 (14) |
O11-Rb2-O2iii | 153.49 (7) | 152.23 (15) |
O12iii-Rb2-O2iii | 99.13 (7) | 98.17 (14) |
O3-As1-O4 | 108.85 (12) | 109.6 (2) |
O5-As2-O7 | 106.09 (13) | 105.3 (3) |
Ti2-O4vi-As1vi | 130.89 (14) | 131.7 (3) |
Symmetry codes: (i) x, 1 + y, z; (ii) 1/2 + x, 3/2 - y, z; (iii) 1/2 - x, 1/2 + y, 1/2 + z; (iv) 1/2-x, y-1/2, 1/2+z; (v) x - 1/2, 3/2 - y, z; (vi) x - 1/2, 1/2 - y, z; (vii) 1 - x, 1 - y, 1/2 + z. |
Thermal displacements along principal axes and angles
between the principal axes and the c axis of the
unit cell (Å, °) top
LowT | Angle | RoomT | Angle | ||
Rb1 | r1 | 0.047 (1) | 81 (6) | 0.096 (2) | 85 (1) |
r2 | 0.056 (1) | 143 (4) | 0.134 (1) | 123.5 (9) | |
r3 | 0.0663 (8) | 126 (3) | 0.188 (1) | 33.9 (8) | |
Rb2 | r1 | 0.049 (1) | 93 (6) | 0.099 (2) | 90 (1) |
r2 | 0.055 (1) | 125 (10) | 0.130 (1) | 108 (2) | |
r3 | 0.059 (1) | 35 (10) | 0.158 (1) | 18 (2) | |
O3 | r1 | 0.045 (9) | 85 (17) | 0.07 (1) | 97 (11) |
r2 | 0.062 (8) | 131 (18) | 0.09 (1) | 103 (11) | |
r3 | 0.077 (7) | 41 (18) | 0.14 (1) | 14 (10) | |
O4 | r1 | 0.051 (9) | 99 (19) | 0.061 (9) | 84 (9) |
r2 | 0.067 (8) | 141 (26) | 0.09 (1) | 85 (14) | |
r3 | 0.077 (7) | 53 (26) | 0.13 (1) | 8(12) | |
O6 | r1 | 0.05 (1) | 109 (16) | 0.07 (2) | 90 (90) |
r2 | 0.068 (7) | 142 (18) | 0.11 (1) | 67 (10) | |
r3 | 0.083 (6) | 59 (16) | 0.15 (1) | 23 (10) |