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Structure factors for rubidium titanyl arsenate, RbTiOAsO4, were measured with Mo 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.

Supporting information

cif

Crystallographic Information File (CIF)
Contains datablocks LowT, RoomT, publ

hkl

Structure factor file (CIF format)
Contains datablock LowT

hkl

Structure factor file (CIF format)
Contains datablock RoomT

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.

Figures top
[Figure 1]
[Figure 2]
(LowT) top
Crystal data top
RbTiOAsO4Dx = 4.048 Mg m3
Mr = 288.27Mo Kα radiation, λ = 0.71069 Å
Orthorhombic, Pna21Cell parameters from 20 reflections
Hall symbol: P 2c -2nθ = 2.6–21.2°
a = 13.218 (1) ŵ = 18.90 mm1
b = 6.6500 (9) ÅT = 10 K
c = 10.761 (1) ÅKTP morphology, colourless
V = 945.89 (17) Å30.58 × 0.54 × 0.36 mm
Z = 8
Data collection top
Huber 512
diffractometer
Rint = 0.022
profile data from ω/2θ scansθmax = 50.1°, θmin = 3.1°
Absorption correction: analytical
Alcock (1974)
h = 1528
Tmin = 0.008, Tmax = 0.066k = 714
15878 measured reflectionsl = 2122
5090 independent reflections3 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: fullΔρmax = 1.53 e Å3
R[F2 > 2σ(F2)] = 0.032Δρmin = 1.84 e Å3
wR(F2) = 0.026Extinction correction: Zachariasen (1968), Eq22 p292 "Cryst. Comp." Munksgaard 1970
S = 4.60Extinction coefficient: 7381 (91)
5006 reflectionsAbsolute structure: Flack XABS refined
146 parametersAbsolute structure parameter: 0.546 (6)
1/σ2
Crystal data top
RbTiOAsO4V = 945.89 (17) Å3
Mr = 288.27Z = 8
Orthorhombic, Pna21Mo Kα radiation
a = 13.218 (1) ŵ = 18.90 mm1
b = 6.6500 (9) ÅT = 10 K
c = 10.761 (1) Å0.58 × 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 = 0.0663 standard reflections every 100 reflections
15878 measured reflections intensity decay: none
5090 independent reflections
Refinement top
R[F2 > 2σ(F2)] = 0.032Δρmax = 1.53 e Å3
wR(F2) = 0.026Δρmin = 1.84 e Å3
S = 4.60Absolute structure: Flack XABS refined
5006 reflectionsAbsolute structure parameter: 0.546 (6)
146 parameters
Special details top

Refinement. Sfls F σ weight full matrix

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Rb10.38187 (2)0.78084 (4)0.68708 (6)0.00324 (11)
Rb20.10896 (2)0.69237 (4)0.93924 (6)0.00295 (10)
Ti10.37402 (4)0.50487 (9)1.00918 (8)0.00226 (17)
Ti20.24844 (4)0.27027 (8)0.75921 (8)0.00213 (17)
As10.49955 (3)0.32869 (4)0.75244 (6)0.00165 (10)
As20.18019 (2)0.50527 (6)0.49791 (6)0.00173 (10)
O10.4880 (2)0.4908 (4)0.8669 (2)0.0043 (9)
O20.5100 (2)0.4617 (4)0.6181 (2)0.0040 (9)
O30.39501 (18)0.1874 (4)0.7305 (2)0.0040 (8)
O40.59976 (18)0.1752 (4)0.7710 (2)0.0042 (9)
O110.2820 (2)0.4527 (4)0.8681 (2)0.0044 (9)
O120.2176 (2)0.0556 (4)0.6185 (2)0.0041 (9)
O50.1098 (2)0.3029 (4)0.4616 (2)0.0039 (9)
O60.1068 (2)0.7045 (4)0.5278 (2)0.0047 (9)
O70.2588 (2)0.5443 (4)0.3744 (2)0.0040 (9)
O80.2582 (2)0.4585 (4)0.6171 (8)0.0042 (9)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Rb10.00387 (10)0.00235 (10)0.00349 (12)0.00030 (9)0.00057 (10)0.00031 (10)
Rb20.00258 (9)0.00295 (9)0.00331 (12)0.00030 (9)0.00013 (10)0.00017 (10)
Ti10.00241 (14)0.00253 (16)0.0018 (2)0.00007 (18)0.00010 (16)0.00025 (17)
Ti20.00236 (14)0.00239 (17)0.0016 (2)0.00005 (16)0.00020 (15)0.00006 (17)
As10.00177 (9)0.00188 (9)0.00130 (11)0.00003 (11)0.00008 (9)0.00011 (11)
As20.00210 (9)0.00172 (10)0.00136 (11)0.00005 (11)0.00000 (11)0.00018 (10)
O10.0047 (8)0.0048 (9)0.0033 (10)0.0015 (8)0.0013 (7)0.0012 (8)
O20.0046 (9)0.0051 (9)0.0024 (10)0.0009 (8)0.0016 (7)0.0009 (7)
O30.0025 (7)0.0044 (8)0.0052 (10)0.0009 (7)0.0006 (7)0.0010 (8)
O40.0032 (8)0.0047 (8)0.0045 (11)0.0011 (7)0.0001 (7)0.0007 (8)
O110.0044 (9)0.0048 (9)0.0040 (11)0.0004 (8)0.0008 (7)0.0007 (8)
O120.0035 (8)0.0046 (9)0.0041 (11)0.0001 (8)0.0002 (7)0.0012 (8)
O50.0053 (8)0.0028 (8)0.0037 (10)0.0012 (8)0.0002 (7)0.0002 (7)
O60.0057 (8)0.0034 (8)0.0052 (10)0.0014 (8)0.0013 (8)0.0002 (7)
O70.0043 (9)0.0048 (9)0.0030 (11)0.0000 (8)0.0012 (7)0.0010 (8)
O80.0051 (9)0.0050 (9)0.0025 (10)0.0009 (8)0.0014 (7)0.0013 (7)
Geometric parameters (Å, º) top
Rb1—Rb24.5521 (7)Rb2—O5vii2.902 (3)
Rb1—As13.4577 (6)Ti1—O12.150 (3)
Rb1—O13.071 (3)Ti1—O111.977 (3)
Rb1—O22.815 (3)Ti1—O5ii2.058 (3)
Rb1—O3i2.749 (3)Ti1—O2viii1.942 (3)
Rb1—O113.209 (3)Ti1—O6ix2.023 (3)
Rb1—O12i2.932 (3)Ti1—O12ii1.722 (3)
Rb1—O5ii2.959 (3)Ti2i—O3i2.038 (2)
Rb1—O6iii3.434 (3)Ti2i—O12i2.121 (3)
Rb1—O7ii3.254 (3)Ti2i—O7ii1.950 (3)
Rb1—O82.799 (3)Ti2i—O4vi2.002 (2)
Rb1—Rb2iv3.8232 (8)Ti2i—O11i1.744 (3)
Rb1—Rb2iii4.0503 (7)Ti2i—O8i1.980 (7)
Rb2—As2ii3.5350 (5)As1—O11.644 (3)
Rb2—O4v3.044 (3)As1—O21.701 (3)
Rb2—O112.891 (3)As1—O31.688 (2)
Rb2—O7ii3.004 (3)As1—O41.684 (2)
Rb2—O3ii3.135 (3)As2ii—O5ii1.682 (3)
Rb2—O12ii3.131 (3)As2ii—O7ii1.706 (3)
Rb2—O2ii3.063 (3)As2ii—O6ii1.673 (3)
Rb2—O8ii3.144 (5)As2ii—O8ii1.675 (6)
Rb2—O1vi2.757 (3)
Rb2—Rb1—As197.056 (15)Rb1ix—Rb2—O2ii89.80 (5)
Rb2—Rb1—O184.57 (5)Rb1ix—Rb2—O8ii87.73 (11)
Rb2—Rb1—O2122.45 (6)Rb1ix—Rb2—Rb1vi121.488 (11)
Rb2—Rb1—O3i94.35 (5)Rb1ix—Rb2—O1vi139.68 (6)
Rb2—Rb1—O1139.13 (5)Rb1ix—Rb2—O5vii88.95 (5)
Rb2—Rb1—O12i69.13 (5)O3ii—Rb2—O12ii52.64 (7)
Rb2—Rb1—O5ii56.00 (5)O3ii—Rb2—O2ii50.91 (7)
Rb2—Rb1—O6iii170.93 (5)O3ii—Rb2—O8ii53.59 (13)
Rb2—Rb1—O7ii41.20 (5)O3ii—Rb2—Rb1vi131.14 (5)
Rb2—Rb1—O866.32 (13)O3ii—Rb2—O1vi106.30 (7)
Rb2—Rb1—Rb2iv122.241 (11)O3ii—Rb2—O5vii84.30 (7)
Rb2—Rb1—Rb2iii101.164 (18)O12ii—Rb2—O2ii99.13 (7)
As1—Rb1—O128.38 (5)O12ii—Rb2—O8ii51.64 (8)
As1—Rb1—O229.23 (6)O12ii—Rb2—Rb1vi165.49 (5)
As1—Rb1—O3i142.39 (5)O12ii—Rb2—O1vi145.14 (8)
As1—Rb1—O1158.02 (5)O12ii—Rb2—O5vii132.98 (7)
As1—Rb1—O12i157.85 (5)O2ii—Rb2—O8ii64.85 (9)
As1—Rb1—O5ii79.83 (5)O2ii—Rb2—Rb1vi90.84 (5)
As1—Rb1—O6iii74.73 (4)O2ii—Rb2—O1vi55.46 (8)
As1—Rb1—O7ii126.81 (5)O2ii—Rb2—O5vii55.26 (7)
As1—Rb1—O869.61 (7)O8ii—Rb2—Rb1vi142.87 (6)
As1—Rb1—Rb2iv138.60 (2)O8ii—Rb2—O1vi93.77 (8)
As1—Rb1—Rb2iii64.441 (13)O8ii—Rb2—O5vii120.02 (9)
O1—Rb1—O254.40 (7)Rb1vi—Rb2—O1vi49.27 (6)
O1—Rb1—O3i118.79 (8)Rb1vi—Rb2—O5vii46.88 (5)
O1—Rb1—O1151.58 (7)O1vi—Rb2—O5vii55.76 (7)
O1—Rb1—O12i152.65 (7)O1—Ti1—O1182.92 (11)
O1—Rb1—O5ii52.08 (7)O1—Ti1—O5ii77.99 (10)
O1—Rb1—O6iii86.36 (7)O1—Ti1—O2viii83.19 (11)
O1—Rb1—O7ii102.05 (7)O1—Ti1—O6ix86.56 (11)
O1—Rb1—O887.45 (12)O1—Ti1—O12ii171.11 (12)
O1—Rb1—Rb2iv150.99 (5)O11—Ti1—O5ii92.39 (11)
O1—Rb1—Rb2iii42.86 (5)O11—Ti1—O2viii165.79 (12)
O2—Rb1—O3i138.44 (7)O11—Ti1—O6ix88.84 (11)
O2—Rb1—O1183.97 (7)O11—Ti1—O12ii97.25 (12)
O2—Rb1—O12i148.09 (8)O5ii—Ti1—O2viii87.60 (11)
O2—Rb1—O5ii106.16 (7)O5ii—Ti1—O6ix164.22 (11)
O2—Rb1—O6iii50.85 (7)O5ii—Ti1—O12ii93.12 (12)
O2—Rb1—O7ii155.93 (7)O2viii—Ti1—O6ix87.39 (11)
O2—Rb1—O872.73 (8)O2viii—Ti1—O12ii96.93 (13)
O2—Rb1—Rb2iv109.67 (6)O6ix—Ti1—O12ii102.33 (12)
O2—Rb1—Rb2iii76.35 (5)O3i—Ti2i—O12i83.82 (10)
O3i—Rb1—O11126.27 (7)O3i—Ti2i—O7ii86.23 (11)
O3i—Rb1—O12i58.45 (7)O3i—Ti2i—O4vi172.59 (11)
O3i—Rb1—O5ii77.25 (7)O3i—Ti2i—O11i92.77 (12)
O3i—Rb1—O6iii90.13 (7)O3i—Ti2i—O8i89.56 (11)
O3i—Rb1—O7ii53.22 (7)O12i—Ti2i—O7ii85.75 (11)
O3i—Rb1—O8146.69 (8)O12i—Ti2i—O4vi88.78 (10)
O3i—Rb1—Rb2iv54.03 (6)O12i—Ti2i—O11i175.50 (12)
O3i—Rb1—Rb2iii78.23 (5)O12i—Ti2i—O8i83.50 (18)
O11—Rb1—O12i105.77 (7)O7ii—Ti2i—O4vi92.95 (11)
O11—Rb1—O5ii56.17 (7)O7ii—Ti2i—O11i96.97 (12)
O11—Rb1—O6iii132.73 (7)O7ii—Ti2i—O8i168.82 (18)
O11—Rb1—O7ii75.83 (7)O4vi—Ti2i—O11i94.64 (12)
O11—Rb1—O853.28 (17)O4vi—Ti2i—O8i89.89 (11)
O11—Rb1—Rb2iv157.39 (5)O11i—Ti2i—O8i93.57 (18)
O11—Rb1—Rb2iii85.89 (5)Rb1—As1—O162.64 (9)
O12i—Rb1—O5ii104.35 (7)Rb1—As1—O253.94 (9)
O12i—Rb1—O6iii119.87 (7)Rb1—As1—O395.02 (8)
O12i—Rb1—O7ii52.95 (7)Rb1—As1—O4154.83 (9)
O12i—Rb1—O888.68 (9)O1—As1—O2107.67 (13)
O12i—Rb1—Rb2iv53.26 (5)O1—As1—O3113.21 (13)
O12i—Rb1—Rb2iii133.63 (5)O1—As1—O4112.43 (13)
O5ii—Rb1—O6iii117.69 (7)O2—As1—O3103.72 (13)
O5ii—Rb1—O7ii51.40 (7)O2—As1—O4110.62 (13)
O5ii—Rb1—O8109.14 (17)O3—As1—O4108.85 (12)
O5ii—Rb1—Rb2iv131.27 (5)Rb2—As2ii—O5ii85.60 (9)
O5ii—Rb1—Rb2iii45.71 (5)Rb2—As2ii—O7ii58.04 (9)
O6iii—Rb1—O7ii142.06 (6)Rb2—As2ii—O6ii163.21 (9)
O6iii—Rb1—O8113.17 (12)Rb2—As2ii—O8ii62.77 (18)
O6iii—Rb1—Rb2iv66.68 (4)O5ii—As2ii—O7ii106.09 (13)
O6iii—Rb1—Rb2iii72.02 (5)O5ii—As2ii—O6ii110.98 (12)
O7ii—Rb1—O8104.19 (12)O5ii—As2ii—O8ii111.70 (13)
O7ii—Rb1—Rb2iv93.72 (5)O7ii—As2ii—O6ii112.46 (13)
O7ii—Rb1—Rb2iii89.12 (5)O7ii—As2ii—O8ii104.5 (2)
O8—Rb1—Rb2iv112.28 (15)O6ii—As2ii—O8ii110.87 (19)
O8—Rb1—Rb2iii130.30 (12)Rb1—O1—Ti195.80 (9)
Rb2iv—Rb1—Rb2iii114.353 (12)Rb1—O1—As188.98 (11)
Rb1—Rb2—As2ii53.530 (14)Rb1—O1—Rb2iii87.88 (7)
Rb1—Rb2—O4v77.34 (5)Ti1—O1—As1128.82 (15)
Rb1—Rb2—O1144.47 (5)Ti1—O1—Rb2iii99.91 (10)
Rb1—Rb2—O7ii45.54 (5)As1—O1—Rb2iii131.23 (14)
Rb1—Rb2—Rb1ix118.896 (11)Rb1—O2—As196.83 (11)
Rb1—Rb2—O3ii127.64 (4)Rb1—O2—Ti1x123.21 (12)
Rb1—Rb2—O12ii79.90 (5)Rb1—O2—Rb2xi107.32 (8)
Rb1—Rb2—O2ii134.89 (5)As1—O2—Ti1x129.53 (15)
Rb1—Rb2—O8ii81.23 (11)As1—O2—Rb2xi100.86 (11)
Rb1—Rb2—Rb1vi100.501 (18)Ti1x—O2—Rb2xi95.34 (10)
Rb1—Rb2—O1vi101.09 (6)Rb1—O3i—Ti2i103.40 (9)
Rb1—Rb2—O5vii146.89 (5)Rb1—O3i—As1i128.55 (12)
As2ii—Rb2—O4v127.61 (5)Rb1—O3i—Rb2iv80.76 (7)
As2ii—Rb2—O1175.41 (6)Ti2i—O3i—As1i127.34 (14)
As2ii—Rb2—O7ii28.82 (5)Ti2i—O3i—Rb2iv97.63 (9)
As2ii—Rb2—Rb1ix105.768 (18)As1i—O3i—Rb2iv98.49 (11)
As2ii—Rb2—O3ii80.84 (5)Rb2—O4v—Ti298.27 (9)
As2ii—Rb2—O12ii58.92 (5)Rb2—O4v—As1v126.05 (12)
As2ii—Rb2—O2ii87.04 (5)Ti2—O4v—As1v130.89 (14)
As2ii—Rb2—O8ii28.28 (12)Rb1—O11—Rb296.40 (8)
As2ii—Rb2—Rb1vi132.694 (18)Rb1—O11—Ti195.37 (10)
As2ii—Rb2—O1vi93.31 (6)Rb1—O11—Ti299.79 (11)
As2ii—Rb2—O5vii139.86 (5)Rb2—O11—Ti1100.75 (10)
O4v—Rb2—O1155.34 (7)Rb2—O11—Ti2111.13 (12)
O4v—Rb2—O7ii120.72 (7)Ti1—O11—Ti2142.63 (16)
O4v—Rb2—Rb1ix80.88 (5)Rb1—O12i—Ti2i95.60 (9)
O4v—Rb2—O3ii125.84 (7)Rb1—O12i—Rb2iv78.11 (6)
O4v—Rb2—O12ii99.35 (7)Rb1—O12i—Ti1iv124.81 (13)
O4v—Rb2—O2ii145.34 (7)Ti2i—O12i—Rb2iv95.95 (9)
O4v—Rb2—O8ii146.78 (7)Ti2i—O12i—Ti1iv139.01 (15)
O4v—Rb2—Rb1vi66.87 (5)Rb2iv—O12i—Ti1iv98.69 (11)
O4v—Rb2—O1vi114.99 (7)Rb1—O5ii—Ti1101.35 (9)
O4v—Rb2—O5vii91.04 (7)Rb1—O5ii—As2ii104.55 (11)
O11—Rb2—O7ii84.70 (7)Rb1—O5ii—Rb2iii87.41 (7)
O11—Rb2—Rb1ix76.42 (5)Ti1—O5ii—As2ii130.94 (14)
O11—Rb2—O3ii105.80 (7)Ti1—O5ii—Rb2iii97.72 (9)
O11—Rb2—O12ii54.82 (7)As2ii—O5ii—Rb2iii124.16 (12)
O11—Rb2—O2ii153.49 (7)Rb1—O6iii—Ti1x97.46 (9)
O11—Rb2—O8ii91.71 (8)Rb1—O6iii—As2iii128.34 (12)
O11—Rb2—Rb1vi115.66 (6)Ti1x—O6iii—As2iii133.65 (15)
O11—Rb2—O1vi143.63 (8)Rb1—O7ii—Rb293.26 (7)
O11—Rb2—O5vii144.71 (7)Rb1—O7ii—Ti2i89.60 (9)
O7ii—Rb2—Rb1ix134.53 (5)Rb1—O7ii—As2ii93.03 (10)
O7ii—Rb2—O3ii104.49 (7)Rb2—O7ii—Ti2i140.92 (12)
O7ii—Rb2—O12ii86.75 (7)Rb2—O7ii—As2ii93.15 (10)
O7ii—Rb2—O2ii89.38 (7)Ti2i—O7ii—As2ii125.63 (15)
O7ii—Rb2—O8ii51.50 (13)Rb1—O8—Ti2108.3 (3)
O7ii—Rb2—Rb1vi103.98 (5)Rb1—O8—Rb2xi105.57 (11)
O7ii—Rb2—O1vi71.12 (8)Rb1—O8—As2115.05 (18)
O7ii—Rb2—O5vii126.22 (7)Ti2—O8—Rb2xi98.65 (10)
Rb1ix—Rb2—O3ii45.21 (5)Ti2—O8—As2131.98 (16)
Rb1ix—Rb2—O12ii48.63 (5)Rb2xi—O8—As289.0 (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, z1/2; (v) x1/2, y+1/2, z; (vi) x1/2, y+3/2, z; (vii) x, y+1, z+1/2; (viii) x+1, y+1, z+1/2; (ix) x+1/2, y1/2, z+1/2; (x) x+1, y+1, z1/2; (xi) x+1/2, y1/2, z1/2.
(RoomT) top
Crystal data top
RbTiOAsO4Dx = 4.015 Mg m3
Mr = 288.27Mo Kα radiation, λ = 0.71069 Å
Orthorhombic, Pna21Cell parameters from 18 reflections
Hall symbol: P 2c -2nθ = 7.1–17.4°
a = 13.261 (2) ŵ = 18.74 mm1
b = 6.6791 (8) ÅT = 295 K
c = 10.769 (1) ÅKTP morphology, colourless
V = 953.8 (2) Å30.58 × 0.54 × 0.36 mm
Z = 8
Data collection top
Huber 512
diffractometer
Rint = 0.055
profile data from ω/2θ scansθmax = 50.1°, θmin = 3.1°
Absorption correction: analytical
Alcock (1974)
h = 028
Tmin = 0.008, Tmax = 0.066k = 014
9854 measured reflectionsl = 2122
5125 independent reflections3 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: fullΔρmax = 3.06 e Å3
R[F2 > 2σ(F2)] = 0.055Δρmin = 2.84 e Å3
wR(F2) = 0.043Extinction correction: Zachariasen 1968), Eq22 p292 "Cryst. Comp." Munksgaard 1970
S = 4.76Extinction coefficient: 17128 (240)
4796 reflectionsAbsolute structure: Flack XABS refined
146 parametersAbsolute structure parameter: 0.59 (1)
1/σ2
Crystal data top
RbTiOAsO4V = 953.8 (2) Å3
Mr = 288.27Z = 8
Orthorhombic, Pna21Mo Kα radiation
a = 13.261 (2) ŵ = 18.74 mm1
b = 6.6791 (8) ÅT = 295 K
c = 10.769 (1) Å0.58 × 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 = 0.0663 standard reflections every 100 reflections
9854 measured reflections intensity decay: none
5125 independent reflections
Refinement top
R[F2 > 2σ(F2)] = 0.055Δρmax = 3.06 e Å3
wR(F2) = 0.043Δρmin = 2.84 e Å3
S = 4.76Absolute structure: Flack XABS refined
4796 reflectionsAbsolute structure parameter: 0.59 (1)
146 parameters
Special details top

Refinement. Sfls F σ weight full matrix

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Rb10.38304 (6)0.78228 (10)0.68223 (13)0.0209 (3)
Rb20.10905 (5)0.69381 (11)0.93537 (13)0.0172 (3)
Ti10.37370 (7)0.50486 (18)1.00974 (15)0.0060 (3)
Ti20.24874 (9)0.26985 (15)0.75971 (14)0.0057 (3)
As10.49964 (5)0.32826 (8)0.75318 (12)0.00538 (17)
As20.17988 (4)0.50516 (11)0.49892 (12)0.00579 (18)
O10.4874 (4)0.4888 (9)0.8681 (5)0.011 (2)
O20.5102 (4)0.4614 (9)0.6189 (5)0.010 (2)
O30.3952 (4)0.1881 (7)0.7306 (5)0.011 (2)
O40.6002 (3)0.1776 (7)0.7725 (5)0.0095 (19)
O110.2818 (4)0.4522 (8)0.8683 (5)0.009 (2)
O120.2177 (4)0.0558 (8)0.6181 (5)0.009 (2)
O50.1099 (4)0.3031 (7)0.4607 (5)0.0100 (18)
O60.1072 (4)0.7043 (7)0.5308 (5)0.013 (2)
O70.2580 (4)0.5444 (8)0.3746 (4)0.010 (2)
O80.2578 (4)0.4584 (8)0.6172 (15)0.011 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Rb10.0226 (3)0.0100 (3)0.0299 (4)0.0030 (3)0.0076 (3)0.0031 (3)
Rb20.0119 (2)0.0155 (3)0.0243 (4)0.0035 (3)0.0013 (3)0.0020 (3)
Ti10.0059 (2)0.0066 (3)0.0054 (4)0.0001 (4)0.0002 (3)0.0008 (3)
Ti20.0059 (2)0.0069 (3)0.0044 (3)0.0002 (3)0.0005 (3)0.0001 (4)
As10.00448 (14)0.00624 (16)0.00542 (19)0.0000 (2)0.00063 (16)0.0002 (2)
As20.00695 (16)0.00517 (18)0.0053 (2)0.0003 (2)0.0001 (2)0.00068 (18)
O10.0104 (18)0.013 (2)0.010 (2)0.0024 (18)0.0030 (15)0.0045 (18)
O20.011 (2)0.014 (2)0.0062 (19)0.0028 (18)0.0035 (15)0.0042 (15)
O30.0061 (15)0.0089 (17)0.019 (3)0.0012 (16)0.0000 (16)0.0002 (18)
O40.0038 (15)0.0083 (16)0.016 (3)0.0008 (15)0.0011 (15)0.0009 (17)
O110.0083 (18)0.012 (2)0.007 (2)0.0010 (17)0.0025 (14)0.0019 (16)
O120.010 (2)0.0106 (19)0.006 (2)0.0003 (17)0.0010 (14)0.0013 (15)
O50.0127 (18)0.0085 (16)0.009 (2)0.0023 (18)0.0034 (16)0.0005 (15)
O60.0116 (18)0.0067 (16)0.021 (3)0.0029 (18)0.0041 (18)0.0015 (17)
O70.013 (2)0.012 (2)0.004 (2)0.002 (2)0.0022 (15)0.0039 (15)
O80.013 (2)0.014 (2)0.008 (2)0.005 (2)0.0047 (16)0.0027 (16)
Geometric parameters (Å, º) top
Rb1—Rb24.5807 (15)Rb2—O5vii2.916 (5)
Rb1—As13.4886 (10)Ti1—O12.147 (6)
Rb1—O13.125 (6)Ti1—O111.982 (5)
Rb1—O22.811 (6)Ti1—O5ii2.072 (5)
Rb1—O3i2.765 (5)Ti1—O2viii1.950 (5)
Rb1—O113.268 (5)Ti1—O6ix2.036 (5)
Rb1—O12i2.937 (6)Ti1—O12ii1.716 (5)
Rb1—O5ii3.004 (5)Ti2i—O3i2.042 (5)
Rb1—O6iii3.392 (6)Ti2i—O12i2.131 (5)
Rb1—O7ii3.294 (5)Ti2i—O7ii1.950 (5)
Rb1—O82.816 (7)Ti2i—O4vi2.005 (5)
Rb1—Rb2iv3.8255 (16)Ti2i—O11i1.745 (5)
Rb1—Rb2iii4.0545 (16)Ti2i—O8i1.989 (13)
Rb2—As2ii3.5535 (10)As1—O11.646 (6)
Rb2—O4v3.040 (5)As1—O21.703 (5)
Rb2—O112.893 (5)As1—O31.689 (5)
Rb2—O7ii3.004 (6)As1—O41.684 (5)
Rb2—O3ii3.181 (6)As2ii—O5ii1.689 (5)
Rb2—O12ii3.163 (5)As2ii—O7ii1.713 (5)
Rb2—O2ii3.099 (6)As2ii—O6ii1.678 (5)
Rb2—O8ii3.174 (11)As2ii—O8ii1.669 (13)
Rb2—O1vi2.761 (6)
Rb2—Rb1—As196.27 (3)Rb1ix—Rb2—O2ii89.15 (11)
Rb2—Rb1—O183.64 (11)Rb1ix—Rb2—O8ii87.5 (2)
Rb2—Rb1—O2121.46 (11)Rb1ix—Rb2—Rb1vi121.05 (3)
Rb2—Rb1—O3i93.47 (11)Rb1ix—Rb2—O1vi138.60 (12)
Rb2—Rb1—O1138.93 (10)Rb1ix—Rb2—O5vii88.12 (10)
Rb2—Rb1—O12i68.15 (10)O3ii—Rb2—O12ii52.21 (13)
Rb2—Rb1—O5ii55.71 (10)O3ii—Rb2—O2ii50.23 (13)
Rb2—Rb1—O6iii169.98 (10)O3ii—Rb2—O8ii53.1 (3)
Rb2—Rb1—O7ii40.90 (10)O3ii—Rb2—Rb1vi131.27 (9)
Rb2—Rb1—O865.2 (3)O3ii—Rb2—O1vi105.14 (14)
Rb2—Rb1—Rb2iv121.87 (3)O3ii—Rb2—O5vii83.62 (13)
Rb2—Rb1—Rb2iii101.03 (4)O12ii—Rb2—O2ii98.17 (14)
As1—Rb1—O128.13 (10)O12ii—Rb2—O8ii51.27 (16)
As1—Rb1—O228.90 (11)O12ii—Rb2—Rb1vi165.21 (10)
As1—Rb1—O3i141.72 (11)O12ii—Rb2—O1vi144.25 (15)
As1—Rb1—O1157.42 (10)O12ii—Rb2—O5vii131.84 (14)
As1—Rb1—O12i157.41 (11)O2ii—Rb2—O8ii64.49 (18)
As1—Rb1—O5ii78.92 (10)O2ii—Rb2—Rb1vi91.65 (10)
As1—Rb1—O6iii74.92 (9)O2ii—Rb2—O1vi54.98 (15)
As1—Rb1—O7ii125.17 (10)O2ii—Rb2—O5vii55.11 (14)
As1—Rb1—O869.40 (15)O8ii—Rb2—Rb1vi143.51 (13)
As1—Rb1—Rb2iv139.87 (4)O8ii—Rb2—O1vi93.39 (17)
As1—Rb1—Rb2iii63.85 (3)O8ii—Rb2—O5vii119.5 (2)
O1—Rb1—O253.95 (14)Rb1vi—Rb2—O1vi50.32 (12)
O1—Rb1—O3i117.93 (16)Rb1vi—Rb2—O5vii47.68 (10)
O1—Rb1—O1150.65 (14)O1vi—Rb2—O5vii55.77 (15)
O1—Rb1—O12i150.65 (15)O1—Ti1—O1183.0 (2)
O1—Rb1—O5ii51.37 (14)O1—Ti1—O5ii78.1 (2)
O1—Rb1—O6iii86.36 (14)O1—Ti1—O2viii83.1 (2)
O1—Rb1—O7ii100.49 (14)O1—Ti1—O6ix86.7 (2)
O1—Rb1—O886.5 (3)O1—Ti1—O12ii171.3 (2)
O1—Rb1—Rb2iv152.10 (11)O11—Ti1—O5ii92.3 (2)
O1—Rb1—Rb2iii42.83 (11)O11—Ti1—O2viii165.7 (2)
O2—Rb1—O3i139.30 (16)O11—Ti1—O6ix89.3 (2)
O2—Rb1—O1183.17 (15)O11—Ti1—O12ii97.1 (2)
O2—Rb1—O12i149.91 (15)O5ii—Ti1—O2viii87.7 (2)
O2—Rb1—O5ii105.00 (15)O5ii—Ti1—O6ix164.4 (2)
O2—Rb1—O6iii51.52 (14)O5ii—Ti1—O12ii93.3 (2)
O2—Rb1—O7ii153.94 (14)O2viii—Ti1—O6ix87.1 (2)
O2—Rb1—O873.01 (17)O2viii—Ti1—O12ii97.2 (2)
O2—Rb1—Rb2iv111.27 (11)O6ix—Ti1—O12ii102.0 (2)
O2—Rb1—Rb2iii75.50 (11)O3i—Ti2i—O12i84.0 (2)
O3i—Rb1—O11124.72 (15)O3i—Ti2i—O7ii86.2 (2)
O3i—Rb1—O12i58.53 (15)O3i—Ti2i—O4vi172.6 (2)
O3i—Rb1—O5ii76.38 (15)O3i—Ti2i—O11i92.9 (2)
O3i—Rb1—O6iii90.78 (14)O3i—Ti2i—O8i89.6 (2)
O3i—Rb1—O7ii52.66 (14)O12i—Ti2i—O7ii85.8 (2)
O3i—Rb1—O8146.55 (16)O12i—Ti2i—O4vi88.7 (2)
O3i—Rb1—Rb2iv54.90 (12)O12i—Ti2i—O11i175.5 (2)
O3i—Rb1—Rb2iii77.97 (11)O12i—Ti2i—O8i83.4 (4)
O11—Rb1—O12i104.90 (14)O7ii—Ti2i—O4vi92.7 (2)
O11—Rb1—O5ii55.37 (13)O7ii—Ti2i—O11i97.2 (2)
O11—Rb1—O6iii132.29 (13)O7ii—Ti2i—O8i168.8 (4)
O11—Rb1—O7ii74.91 (13)O4vi—Ti2i—O11i94.5 (2)
O11—Rb1—O852.6 (3)O4vi—Ti2i—O8i90.1 (2)
O11—Rb1—Rb2iv157.25 (10)O11i—Ti2i—O8i93.4 (4)
O11—Rb1—Rb2iii85.30 (10)Rb1—As1—O163.6 (2)
O12i—Rb1—O5ii103.26 (14)Rb1—As1—O252.90 (19)
O12i—Rb1—O6iii121.66 (14)Rb1—As1—O394.98 (17)
O12i—Rb1—O7ii52.65 (13)Rb1—As1—O4153.85 (17)
O12i—Rb1—O888.79 (18)O1—As1—O2107.9 (3)
O12i—Rb1—Rb2iv53.84 (10)O1—As1—O3112.8 (3)
O12i—Rb1—Rb2iii133.29 (11)O1—As1—O4112.0 (3)
O5ii—Rb1—O6iii116.84 (14)O2—As1—O3103.6 (3)
O5ii—Rb1—O7ii50.61 (13)O2—As1—O4110.6 (3)
O5ii—Rb1—O8107.6 (3)O3—As1—O4109.6 (2)
O5ii—Rb1—Rb2iv131.28 (10)Rb2—As2ii—O5ii85.32 (18)
O5ii—Rb1—Rb2iii45.88 (10)Rb2—As2ii—O7ii57.51 (18)
O6iii—Rb1—O7ii141.79 (13)Rb2—As2ii—O6ii162.87 (18)
O6iii—Rb1—O8114.7 (2)Rb2—As2ii—O8ii63.3 (4)
O6iii—Rb1—Rb2iv67.84 (9)O5ii—As2ii—O7ii105.3 (3)
O6iii—Rb1—Rb2iii70.99 (10)O5ii—As2ii—O6ii111.6 (3)
O7ii—Rb1—O8103.3 (2)O5ii—As2ii—O8ii112.1 (3)
O7ii—Rb1—Rb2iv94.05 (9)O7ii—As2ii—O6ii112.7 (3)
O7ii—Rb1—Rb2iii88.63 (10)O7ii—As2ii—O8ii104.5 (4)
O8—Rb1—Rb2iv113.3 (3)O6ii—As2ii—O8ii110.3 (4)
O8—Rb1—Rb2iii129.3 (2)Rb1—O1—Ti196.5 (2)
Rb2iv—Rb1—Rb2iii114.75 (3)Rb1—O1—As188.3 (2)
Rb1—Rb2—As2ii54.15 (3)Rb1—O1—Rb2iii86.85 (16)
Rb1—Rb2—O4v78.03 (9)Ti1—O1—As1129.5 (3)
Rb1—Rb2—O1145.21 (11)Ti1—O1—Rb2iii100.7 (2)
Rb1—Rb2—O7ii45.89 (10)As1—O1—Rb2iii129.8 (3)
Rb1—Rb2—Rb1ix118.98 (3)Rb1—O2—As198.2 (2)
Rb1—Rb2—O3ii127.63 (9)Rb1—O2—Ti1x122.1 (3)
Rb1—Rb2—O12ii80.30 (10)Rb1—O2—Rb2xi106.75 (17)
Rb1—Rb2—O2ii135.24 (11)As1—O2—Ti1x129.6 (3)
Rb1—Rb2—O8ii81.6 (2)As1—O2—Rb2xi101.4 (2)
Rb1—Rb2—Rb1vi100.44 (4)Ti1x—O2—Rb2xi94.9 (2)
Rb1—Rb2—O1vi102.03 (12)Rb1—O3i—Ti2i103.6 (2)
Rb1—Rb2—O5vii147.63 (10)Rb1—O3i—As1i128.2 (2)
As2ii—Rb2—O4v128.24 (9)Rb1—O3i—Rb2iv79.76 (14)
As2ii—Rb2—O1175.57 (11)Ti2i—O3i—As1i127.6 (3)
As2ii—Rb2—O7ii28.76 (10)Ti2i—O3i—Rb2iv97.7 (2)
As2ii—Rb2—Rb1ix105.37 (4)As1i—O3i—Rb2iv98.7 (2)
As2ii—Rb2—O3ii80.12 (9)Rb2—O4v—Ti298.32 (18)
As2ii—Rb2—O12ii58.56 (10)Rb2—O4v—As1v126.1 (2)
As2ii—Rb2—O2ii86.66 (11)Ti2—O4v—As1v131.7 (3)
As2ii—Rb2—O8ii28.0 (2)Rb1—O11—Rb295.86 (15)
As2ii—Rb2—Rb1vi133.53 (3)Rb1—O11—Ti195.7 (2)
As2ii—Rb2—O1vi93.52 (12)Rb1—O11—Ti299.4 (2)
As2ii—Rb2—O5vii139.64 (10)Rb2—O11—Ti1101.3 (2)
O4v—Rb2—O1155.36 (13)Rb2—O11—Ti2111.0 (2)
O4v—Rb2—O7ii122.21 (14)Ti1—O11—Ti2142.5 (3)
O4v—Rb2—Rb1ix79.37 (10)Rb1—O12i—Ti2i96.01 (19)
O4v—Rb2—O3ii124.48 (14)Rb1—O12i—Rb2iv77.59 (13)
O4v—Rb2—O12ii98.57 (14)Rb1—O12i—Ti1iv124.3 (3)
O4v—Rb2—O2ii144.97 (14)Ti2i—O12i—Rb2iv96.3 (2)
O4v—Rb2—O8ii146.26 (14)Ti2i—O12i—Ti1iv139.1 (3)
O4v—Rb2—Rb1vi67.41 (9)Rb2iv—O12i—Ti1iv98.5 (2)
O4v—Rb2—O1vi116.93 (15)Rb1—O5ii—Ti1101.92 (19)
O4v—Rb2—O5vii91.23 (13)Rb1—O5ii—As2ii105.2 (2)
O11—Rb2—O7ii85.16 (15)Rb1—O5ii—Rb2iii86.44 (14)
O11—Rb2—Rb1ix75.58 (11)Ti1—O5ii—As2ii130.4 (3)
O11—Rb2—O3ii104.87 (14)Ti1—O5ii—Rb2iii97.77 (19)
O11—Rb2—O12ii54.37 (14)As2ii—O5ii—Rb2iii124.4 (2)
O11—Rb2—O2ii152.23 (15)Rb1—O6iii—Ti1x97.83 (19)
O11—Rb2—O8ii91.38 (16)Rb1—O6iii—As2iii128.5 (2)
O11—Rb2—Rb1vi116.07 (11)Ti1x—O6iii—As2iii133.4 (3)
O11—Rb2—O1vi145.63 (16)Rb1—O7ii—Rb293.21 (14)
O11—Rb2—O5vii144.64 (15)Rb1—O7ii—Ti2i89.18 (17)
O7ii—Rb2—Rb1ix134.07 (10)Rb1—O7ii—As2ii93.8 (2)
O7ii—Rb2—O3ii103.75 (13)Rb2—O7ii—Ti2i140.1 (3)
O7ii—Rb2—O12ii86.35 (14)Rb2—O7ii—As2ii93.7 (2)
O7ii—Rb2—O2ii89.37 (15)Ti2i—O7ii—As2ii125.9 (3)
O7ii—Rb2—O8ii51.2 (2)Rb1—O8—Ti2109.3 (6)
O7ii—Rb2—Rb1vi104.87 (10)Rb1—O8—Rb2xi104.7 (2)
O7ii—Rb2—O1vi71.77 (16)Rb1—O8—As2114.3 (4)
O7ii—Rb2—O5vii126.83 (15)Ti2—O8—Rb2xi99.0 (2)
Rb1ix—Rb2—O3ii45.33 (9)Ti2—O8—As2132.0 (3)
Rb1ix—Rb2—O12ii48.56 (10)Rb2xi—O8—As288.7 (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, z1/2; (v) x1/2, y+1/2, z; (vi) x1/2, y+3/2, z; (vii) x, y+1, z+1/2; (viii) x+1, y+1, z+1/2; (ix) x+1/2, y1/2, z+1/2; (x) x+1, y+1, z1/2; (xi) x+1/2, y1/2, z1/2.

Experimental details

(LowT)(RoomT)
Crystal data
Chemical formulaRbTiOAsO4RbTiOAsO4
Mr288.27288.27
Crystal system, space groupOrthorhombic, Pna21Orthorhombic, Pna21
Temperature (K)10295
a, b, c (Å)13.218 (1), 6.6500 (9), 10.761 (1)13.261 (2), 6.6791 (8), 10.769 (1)
V3)945.89 (17)953.8 (2)
Z88
Radiation typeMo KαMo Kα
µ (mm1)18.9018.74
Crystal size (mm)0.58 × 0.54 × 0.360.58 × 0.54 × 0.36
Data collection
DiffractometerHuber 512
diffractometer
Huber 512
diffractometer
Absorption correctionAnalytical
Alcock (1974)
Analytical
Alcock (1974)
Tmin, Tmax0.008, 0.0660.008, 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 )]
Rint0.0220.055
(sin θ/λ)max1)1.0801.079
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.032, 0.026, 4.60 0.055, 0.043, 4.76
No. of reflections50064796
No. of parameters146146
No. of restraints??
Δρmax, Δρmin (e Å3)1.53, 1.843.06, 2.84
Absolute structureFlack XABS refinedFlack XABS refined
Absolute structure parameter0.546 (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
PlaneLowTRoomTPlaneLowTRoomT
Ti10.020 (1)0.014 (2)Ti20.015 (1)0.009 (2)
O10.118 (3)0.126 (7)O7iv0.010 (4)0.013 (8)
O2vii0.056 (3)0.050 (7)O80.076 (9)0.08 (2)
O110.054 (3)0.044 (7)O110.049 (3)0.052 (7)
O12iii0.137 (3)0.134 (7)O120.040 (3)0.042 (7)
Ti10.010 (1)0.007 (2)Ti20.029 (1)0.021 (1)
O10.018 (3)0.019 (7)O30.096 (3)0.104 (7)
O5iii0.044 (3)0.050 (7)O4vi0.106 (3)0.112 (7)
O6iv0.049 (3)0.057 (7)O7iv0.001 (4)0.036 (8)
O12iii0.007 (3)0.005 (7)O80.001 (8)0.29 (2)
Selected geometric parameters (Å, °) top
LowTRoomT
Rb1-O13.071 (3)3.125 (6)
Rb1-O113.209 (3)3.268 (5)
Rb1-O12i2.932 (3)2.937 (6)
Rb1-O6ii3.434 (3)3.392 (6)
Rb2-O112.891 (3)2.893 (5)
Rb2-O12iii3.131 (3)3.163 (5)
Rb2-O2iii3.063 (3)3.099 (6)
Ti1-O12.150 (3)2.147 (6)
Ti1-O111.977 (3)1.982 (5)
Ti1-O2vii1.942 (3)1.950 (5)
Ti1-O5iii2.058 (3)2.072 (5)
Ti1-O6iv2.023 (3)2.036 (5)
Ti1-O12iii1.722 (3)1.716 (5)
Ti2-O32.038 (2)2.042 (5)
Ti2-O122.121 (3)2.131 (5)
Ti2-O7iv1.950 (3)1.950 (5)
Ti2-O4vi2.002 (2)2.005 (5)
Ti2-O111.744 (3)1.745 (5)
Ti2-O81.980 (7)1.989 (13)
As1-O11.644 (3)1.646 (6)
As1-O21.701 (3)1.703 (5)
As1-O31.688 (2)1.689 (5)
As1-O41.684 (2)1.684 (5)
As2-O51.682 (3)1.689 (5)
As2-O71.706 (3)1.713 (5)
As2-O61.673 (3)1.678 (5)
As2-O81.675 (6)1.669 (13)
O1-Rb1-O1151.58 (7)50.65 (14)
O1-Rb1-O12i152.65 (7)150.65 (15)
O11-Rb1-O12i105.77 (7)104.90 (14)
O11-Rb2-O12iii54.82 (7)54.37 (14)
O11-Rb2-O2iii153.49 (7)152.23 (15)
O12iii-Rb2-O2iii99.13 (7)98.17 (14)
O3-As1-O4108.85 (12)109.6 (2)
O5-As2-O7106.09 (13)105.3 (3)
Ti2-O4vi-As1vi130.89 (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
LowTAngleRoomTAngle
Rb1r10.047 (1)81 (6)0.096 (2)85 (1)
r20.056 (1)143 (4)0.134 (1)123.5 (9)
r30.0663 (8)126 (3)0.188 (1)33.9 (8)
Rb2r10.049 (1)93 (6)0.099 (2)90 (1)
r20.055 (1)125 (10)0.130 (1)108 (2)
r30.059 (1)35 (10)0.158 (1)18 (2)
O3r10.045 (9)85 (17)0.07 (1)97 (11)
r20.062 (8)131 (18)0.09 (1)103 (11)
r30.077 (7)41 (18)0.14 (1)14 (10)
O4r10.051 (9)99 (19)0.061 (9)84 (9)
r20.067 (8)141 (26)0.09 (1)85 (14)
r30.077 (7)53 (26)0.13 (1)8(12)
O6r10.05 (1)109 (16)0.07 (2)90 (90)
r20.068 (7)142 (18)0.11 (1)67 (10)
r30.083 (6)59 (16)0.15 (1)23 (10)
 
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