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A series of novel KSrY1–xErx(BO3)2 (x = 0–1) phosphors that emit near-infrared radiation was synthesized using solid-state methods. Pure Y and Er crystals were grown using a KF flux via the top-seeded solution growth technique. In situ high-temperature single crystal X-ray diffraction, Raman spectroscopy and DFT calculations were used for characterization. Within the series, a polymorphic phase transition from space group P21/m to R3m was discovered between 550 and 600°C. The concentration dependence of the luminescence intensity was measured for the samples. A strong emission of Er3+ electron transition 4I13/24I15/2 was detected within the 1529–1549 nm range, with the maximum observed for the KSrY0.4Er0.6(BO3)2 composition.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S205252062400177X/yh5030sup1.cif
Contains datablocks KSrY_300K, KSrY_873K2, KSrY_300K-after.cif

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S205252062400177X/yh5030KSrY_300Ksup2.hkl
Contains datablock KSrY_300K

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S205252062400177X/yh5030KSrY_873K2sup3.hkl
Contains datablock KSrY_873K2

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S205252062400177X/yh5030KSrY_300K-after.cifsup4.hkl
Contains datablock KSrY_300K-after.cif

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S205252062400177X/yh5030sup5.pdf
Figs S1-S6, Tables S1 and S2

CCDC references: 2297551; 2297553; 2301869

Computing details top

(KSrY_300K) top
Crystal data top
B2KO6SrYF(000) = 308
Mr = 333.25Dx = 3.806 Mg m3
Monoclinic, P21/mMo Kα radiation, λ = 0.71073 Å
a = 6.5888 (4) ÅCell parameters from 5687 reflections
b = 5.3664 (3) Åθ = 3.5–33.6°
c = 8.5293 (5) ŵ = 19.78 mm1
β = 105.389 (6)°T = 293 K
V = 290.77 (3) Å3Plate, colorless
Z = 2
Data collection top
XtaLAB Synergy, Single source at home/near, HyPix
diffractometer
Rint = 0.036
Radiation source: micro-focus sealed X-ray tubeθmax = 33.6°, θmin = 3.5°
5687 measured reflectionsh = 108
1104 independent reflectionsk = 77
1001 reflections with I > 2σ(I)l = 1212
Refinement top
Refinement on F261 parameters
Least-squares matrix: full0 restraints
R[F2 > 2σ(F2)] = 0.043 w = 1/[σ2(Fo2) + (0.0679P)2 + 3.9242P]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.118(Δ/σ)max < 0.001
S = 0.94Δρmax = 3.49 e Å3
1104 reflectionsΔρmin = 1.09 e Å3
Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Y10.24028 (7)0.7500000.74603 (5)0.00508 (16)
Sr10.82250 (9)0.7500000.95687 (7)0.01085 (18)
K10.3326 (2)0.2500000.46984 (14)0.0091 (2)
B10.5802 (11)1.2500000.8488 (8)0.0086 (11)
B20.0779 (11)0.7500000.3270 (8)0.0093 (11)
O10.0112 (5)0.4717 (6)0.7537 (4)0.0124 (6)
O20.2481 (7)0.7500001.0142 (5)0.0126 (8)
O30.4997 (5)1.0271 (6)0.7831 (4)0.0166 (6)
O40.2066 (8)0.7500000.4820 (5)0.0144 (9)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Y10.0058 (3)0.0039 (3)0.0047 (3)0.0000.00000 (18)0.000
Sr10.0112 (3)0.0089 (3)0.0113 (3)0.0000.00088 (19)0.000
K10.0112 (5)0.0066 (5)0.0071 (5)0.0000.0016 (4)0.000
B10.008 (2)0.007 (3)0.009 (3)0.0000.001 (2)0.000
B20.010 (3)0.007 (3)0.011 (3)0.0000.003 (2)0.000
O10.0142 (14)0.0092 (13)0.0118 (13)0.0059 (11)0.0001 (10)0.0003 (11)
O20.016 (2)0.013 (2)0.0055 (17)0.0000.0013 (15)0.000
O30.0146 (14)0.0084 (13)0.0222 (16)0.0061 (12)0.0028 (12)0.0001 (12)
O40.020 (2)0.013 (2)0.0061 (18)0.0000.0018 (16)0.000
Geometric parameters (Å, º) top
Y1—O42.204 (4)Sr1—B13.133 (4)
Y1—O3i2.224 (3)Sr1—B1xi3.133 (4)
Y1—O32.224 (3)Sr1—B2xii3.159 (7)
Y1—O12.245 (3)K1—O42.8187 (16)
Y1—O1i2.245 (3)K1—O4xi2.8187 (16)
Y1—O22.274 (4)K1—O1xiii2.865 (3)
Y1—Sr1ii3.6658 (8)K1—O1iv2.865 (3)
Y1—K1iii3.7254 (9)K1—O3i2.867 (4)
Y1—K13.7255 (9)K1—O3xi2.867 (4)
Y1—K1iv3.7347 (13)K1—O4v2.954 (5)
Y1—K1v3.7498 (14)K1—O3v3.058 (4)
Y1—Sr13.7800 (8)K1—O3xiv3.058 (4)
Sr1—O32.694 (3)K1—B1xi3.211 (7)
Sr1—O3i2.694 (3)K1—B2xi3.227 (4)
Sr1—O2vi2.716 (5)K1—B23.227 (4)
Sr1—O1vii2.725 (3)B1—O31.367 (5)
Sr1—O1viii2.725 (3)B1—O3xv1.367 (5)
Sr1—O1vi2.728 (3)B1—O2x1.394 (8)
Sr1—O1ix2.728 (3)B2—O41.368 (8)
Sr1—O2viii2.7455 (11)B2—O1iv1.386 (5)
Sr1—O2x2.7455 (11)B2—O1xvi1.386 (5)
O4—Y1—O3i90.60 (13)O1xiii—K1—O1iv62.85 (13)
O4—Y1—O390.60 (13)O4—K1—O3i67.21 (11)
O3i—Y1—O383.93 (19)O4xi—K1—O3i114.01 (12)
O4—Y1—O198.90 (13)O1xiii—K1—O3i150.57 (11)
O3i—Y1—O195.53 (14)O1iv—K1—O3i115.84 (9)
O3—Y1—O1170.49 (12)O4—K1—O3xi114.01 (12)
O4—Y1—O1i98.90 (13)O4xi—K1—O3xi67.21 (11)
O3i—Y1—O1i170.49 (12)O1xiii—K1—O3xi115.84 (9)
O3—Y1—O1i95.53 (14)O1iv—K1—O3xi150.57 (11)
O1—Y1—O1i83.43 (18)O3i—K1—O3xi49.32 (14)
O4—Y1—O2175.68 (17)O4—K1—O4v107.27 (10)
O3i—Y1—O292.61 (13)O4xi—K1—O4v107.27 (10)
O3—Y1—O292.61 (13)O1xiii—K1—O4v130.05 (10)
O1—Y1—O277.92 (12)O1iv—K1—O4v130.05 (10)
O1i—Y1—O277.92 (12)O3i—K1—O4v75.17 (11)
O4—Y1—Sr1ii128.04 (13)O3xi—K1—O4v75.17 (11)
O3i—Y1—Sr1ii125.39 (10)O4—K1—O3v130.84 (12)
O3—Y1—Sr1ii125.39 (10)O4xi—K1—O3v74.23 (11)
O1—Y1—Sr1ii47.90 (9)O1xiii—K1—O3v67.59 (9)
O1i—Y1—Sr1ii47.90 (9)O1iv—K1—O3v97.22 (10)
O2—Y1—Sr1ii47.64 (12)O3i—K1—O3v137.64 (6)
O4—Y1—K1iii48.92 (4)O3xi—K1—O3v109.46 (8)
O3i—Y1—K1iii108.86 (10)O4v—K1—O3v63.10 (10)
O3—Y1—K1iii50.21 (9)O4—K1—O3xiv74.23 (11)
O1—Y1—K1iii138.01 (8)O4xi—K1—O3xiv130.84 (12)
O1i—Y1—K1iii77.57 (9)O1xiii—K1—O3xiv97.22 (10)
O2—Y1—K1iii132.22 (3)O1iv—K1—O3xiv67.59 (9)
Sr1ii—Y1—K1iii125.45 (2)O3i—K1—O3xiv109.46 (9)
O4—Y1—K148.92 (4)O3xi—K1—O3xiv137.64 (6)
O3i—Y1—K150.21 (9)O4v—K1—O3xiv63.10 (10)
O3—Y1—K1108.86 (10)O3v—K1—O3xiv58.19 (13)
O1—Y1—K177.57 (9)O4—K1—B1xi92.23 (10)
O1i—Y1—K1138.01 (8)O4xi—K1—B1xi92.23 (10)
O2—Y1—K1132.22 (3)O1xiii—K1—B1xi139.32 (11)
Sr1ii—Y1—K1125.45 (2)O1iv—K1—B1xi139.32 (11)
K1iii—Y1—K192.15 (3)O3i—K1—B1xi25.19 (7)
O4—Y1—K1iv71.43 (13)O3xi—K1—B1xi25.19 (7)
O3i—Y1—K1iv135.08 (9)O4v—K1—B1xi68.34 (16)
O3—Y1—K1iv135.08 (9)O3v—K1—B1xi121.86 (13)
O1—Y1—K1iv49.99 (8)O3xiv—K1—B1xi121.86 (13)
O1i—Y1—K1iv49.99 (8)O4—K1—B2xi132.58 (15)
O2—Y1—K1iv104.25 (12)O4xi—K1—B2xi25.00 (14)
Sr1ii—Y1—K1iv56.61 (2)O1xiii—K1—B2xi25.42 (12)
K1iii—Y1—K1iv90.08 (3)O1iv—K1—B2xi87.93 (13)
K1—Y1—K1iv90.08 (3)O3i—K1—B2xi137.00 (15)
O4—Y1—K1v51.93 (13)O3xi—K1—B2xi92.15 (13)
O3i—Y1—K1v54.63 (10)O4v—K1—B2xi117.69 (12)
O3—Y1—K1v54.63 (10)O3v—K1—B2xi65.07 (14)
O1—Y1—K1v132.09 (9)O3xiv—K1—B2xi112.77 (15)
O1i—Y1—K1v132.09 (9)B1xi—K1—B2xi117.03 (13)
O2—Y1—K1v132.39 (12)O4—K1—B225.00 (14)
Sr1ii—Y1—K1v179.97 (2)O4xi—K1—B2132.58 (15)
K1iii—Y1—K1v54.53 (2)O1xiii—K1—B287.93 (13)
K1—Y1—K1v54.53 (2)O1iv—K1—B225.42 (12)
K1iv—Y1—K1v123.36 (3)O3i—K1—B292.15 (13)
O4—Y1—Sr1107.49 (13)O3xi—K1—B2137.00 (15)
O3i—Y1—Sr144.58 (9)O4v—K1—B2117.70 (12)
O3—Y1—Sr144.58 (9)O3v—K1—B2112.77 (15)
O1—Y1—Sr1130.54 (8)O3xiv—K1—B265.07 (14)
O1i—Y1—Sr1130.54 (8)B1xi—K1—B2117.03 (13)
O2—Y1—Sr176.83 (12)B2xi—K1—B2112.5 (2)
Sr1ii—Y1—Sr1124.47 (2)O3—B1—O3xv122.1 (6)
K1iii—Y1—Sr189.17 (2)O3—B1—O2x118.9 (3)
K1—Y1—Sr189.17 (2)O3xv—B1—O2x118.9 (3)
K1iv—Y1—Sr1178.92 (2)O3—B1—Sr1iii169.1 (4)
K1v—Y1—Sr155.56 (2)O3xv—B1—Sr1iii58.9 (2)
O3—Sr1—O3i66.99 (14)O2x—B1—Sr1iii61.09 (13)
O3—Sr1—O2vi136.54 (9)O3—B1—Sr158.9 (2)
O3i—Sr1—O2vi136.54 (9)O3xv—B1—Sr1169.1 (4)
O3—Sr1—O1vii111.18 (9)O2x—B1—Sr161.09 (13)
O3i—Sr1—O1vii147.47 (11)Sr1iii—B1—Sr1117.8 (2)
O2vi—Sr1—O1vii68.64 (10)O3—B1—K1iii63.2 (3)
O3—Sr1—O1viii147.47 (11)O3xv—B1—K1iii63.2 (3)
O3i—Sr1—O1viii111.18 (9)O2x—B1—K1iii157.9 (4)
O2vi—Sr1—O1viii68.64 (10)Sr1iii—B1—K1iii112.30 (13)
O1vii—Sr1—O1viii51.76 (14)Sr1—B1—K1iii112.30 (13)
O3—Sr1—O1vi110.13 (11)O4—B2—O1iv120.9 (3)
O3i—Sr1—O1vi74.92 (10)O4—B2—O1xvi120.9 (3)
O2vi—Sr1—O1vi62.92 (10)O1iv—B2—O1xvi118.2 (5)
O1vii—Sr1—O1vi130.61 (5)O4—B2—Sr1xvii174.2 (5)
O1viii—Sr1—O1vi99.96 (8)O1iv—B2—Sr1xvii59.3 (3)
O3—Sr1—O1ix74.92 (10)O1xvi—B2—Sr1xvii59.3 (3)
O3i—Sr1—O1ix110.13 (11)O4—B2—K1iii60.55 (15)
O2vi—Sr1—O1ix62.92 (10)O1iv—B2—K1iii164.9 (4)
O1vii—Sr1—O1ix99.96 (9)O1xvi—B2—K1iii62.51 (19)
O1viii—Sr1—O1ix130.61 (5)Sr1xvii—B2—K1iii117.58 (13)
O1vi—Sr1—O1ix66.39 (14)O4—B2—K160.55 (15)
O3—Sr1—O2viii117.45 (12)O1iv—B2—K162.51 (19)
O3i—Sr1—O2viii51.84 (12)O1xvi—B2—K1164.9 (4)
O2vi—Sr1—O2viii100.10 (10)Sr1xvii—B2—K1117.58 (13)
O1vii—Sr1—O2viii113.12 (11)K1iii—B2—K1112.5 (2)
O1viii—Sr1—O2viii62.58 (11)O4—B2—K1iv83.5 (4)
O1vi—Sr1—O2viii68.18 (11)O1iv—B2—K1iv93.4 (3)
O1ix—Sr1—O2viii134.29 (12)O1xvi—B2—K1iv93.4 (3)
O3—Sr1—O2x51.84 (12)Sr1xvii—B2—K1iv102.31 (18)
O3i—Sr1—O2x117.45 (12)K1iii—B2—K1iv101.61 (14)
O2vi—Sr1—O2x100.10 (10)K1—B2—K1iv101.61 (14)
O1vii—Sr1—O2x62.58 (11)B2iv—O1—Y1134.1 (3)
O1viii—Sr1—O2x113.12 (11)B2iv—O1—Sr1viii94.8 (3)
O1vi—Sr1—O2x134.29 (12)Y1—O1—Sr1viii98.85 (11)
O1ix—Sr1—O2x68.18 (11)B2iv—O1—Sr1ii131.1 (3)
O2viii—Sr1—O2x155.5 (2)Y1—O1—Sr1ii94.49 (11)
O3—Sr1—B125.74 (12)Sr1viii—O1—Sr1ii80.04 (8)
O3i—Sr1—B192.55 (13)B2iv—O1—K1iv92.1 (3)
O2vi—Sr1—B1118.30 (12)Y1—O1—K1iv93.14 (11)
O1vii—Sr1—B188.12 (13)Sr1viii—O1—K1iv155.43 (13)
O1viii—Sr1—B1135.63 (14)Sr1ii—O1—K1iv77.69 (9)
O1vi—Sr1—B1122.75 (14)B1x—O2—Y1129.8 (4)
O1ix—Sr1—B166.63 (14)B1x—O2—Sr1ii136.1 (4)
O2viii—Sr1—B1141.09 (15)Y1—O2—Sr1ii94.13 (15)
O2x—Sr1—B126.40 (14)B1x—O2—Sr1viii92.51 (11)
O3—Sr1—B1xi92.55 (13)Y1—O2—Sr1viii97.54 (9)
O3i—Sr1—B1xi25.74 (12)Sr1ii—O2—Sr1viii79.90 (10)
O2vi—Sr1—B1xi118.30 (12)B1x—O2—Sr1x92.51 (11)
O1vii—Sr1—B1xi135.63 (14)Y1—O2—Sr1x97.54 (9)
O1viii—Sr1—B1xi88.12 (13)Sr1ii—O2—Sr1x79.90 (10)
O1vi—Sr1—B1xi66.63 (14)Sr1viii—O2—Sr1x155.5 (2)
O1ix—Sr1—B1xi122.75 (14)B1—O3—Y1147.5 (4)
O2viii—Sr1—B1xi26.40 (14)B1—O3—Sr195.4 (3)
O2x—Sr1—B1xi141.09 (15)Y1—O3—Sr1100.01 (13)
B1—Sr1—B1xi117.8 (2)B1—O3—K1iii91.6 (3)
O3—Sr1—B2xii133.10 (12)Y1—O3—K1iii93.21 (11)
O3i—Sr1—B2xii133.10 (12)Sr1—O3—K1iii142.63 (15)
O2vi—Sr1—B2xii64.48 (16)B1—O3—K1v122.7 (4)
O1vii—Sr1—B2xii25.93 (7)Y1—O3—K1v89.00 (11)
O1viii—Sr1—B2xii25.93 (7)Sr1—O3—K1v74.89 (9)
O1vi—Sr1—B2xii115.95 (12)K1iii—O3—K1v70.54 (8)
O1ix—Sr1—B2xii115.95 (12)B2—O4—Y1148.9 (4)
O2viii—Sr1—B2xii88.18 (9)B2—O4—K1iii94.45 (14)
O2x—Sr1—B2xii88.18 (9)Y1—O4—K1iii94.98 (10)
B1—Sr1—B2xii112.88 (12)B2—O4—K194.45 (14)
B1xi—Sr1—B2xii112.88 (12)Y1—O4—K194.98 (10)
O4—K1—O4xi144.3 (2)K1iii—O4—K1144.3 (2)
O4—K1—O1xiii110.36 (12)B2—O4—K1v119.0 (4)
O4xi—K1—O1xiii49.85 (11)Y1—O4—K1v92.10 (16)
O4—K1—O1iv49.85 (11)K1iii—O4—K1v72.73 (10)
O4xi—K1—O1iv110.36 (12)K1—O4—K1v72.73 (10)
Symmetry codes: (i) x, y+3/2, z; (ii) x1, y, z; (iii) x, y+1, z; (iv) x, y+1, z+1; (v) x+1, y+1, z+1; (vi) x+1, y, z; (vii) x+1, y+1/2, z+2; (viii) x+1, y+1, z+2; (ix) x+1, y+3/2, z; (x) x+1, y+2, z+2; (xi) x, y1, z; (xii) x+1, y, z+1; (xiii) x, y1/2, z+1; (xiv) x+1, y1/2, z+1; (xv) x, y+5/2, z; (xvi) x, y+1/2, z+1; (xvii) x1, y, z1.
(KSrY_873K2) top
Crystal data top
B6K3O18Sr3Y3Dx = 3.742 Mg m3
Mr = 999.75Mo Kα radiation, λ = 0.71073 Å
Trigonal, R3m:HCell parameters from 1479 reflections
a = 5.3798 (4) Åθ = 3.5–29.5°
c = 17.6988 (15) ŵ = 19.45 mm1
V = 443.62 (8) Å3T = 873 K
Z = 1Plate, colorless
F(000) = 462
Data collection top
XtaLAB Synergy, Single source at home/near, HyPix
diffractometer
Rint = 0.065
Radiation source: micro-focus sealed X-ray tubeθmax = 29.5°, θmin = 3.5°
1479 measured reflectionsh = 77
164 independent reflectionsk = 66
154 reflections with I > 2σ(I)l = 2116
Refinement top
Refinement on F20 restraints
Least-squares matrix: full w = 1/[σ2(Fo2) + (0.061P)2 + 1.4692P]
where P = (Fo2 + 2Fc2)/3
R[F2 > 2σ(F2)] = 0.034(Δ/σ)max < 0.001
wR(F2) = 0.105Δρmax = 1.17 e Å3
S = 1.25Δρmin = 1.10 e Å3
164 reflectionsExtinction correction: SHELXL-2018/3 (Sheldrick 2018), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4
16 parametersExtinction coefficient: 0.008 (3)
Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Y10.6666670.3333330.8333330.0192 (6)
K10.6666670.3333330.62068 (9)0.0368 (6)0.5
Sr10.6666670.3333330.62068 (9)0.0368 (6)0.5
O10.4806 (4)0.5194 (4)0.7531 (2)0.0465 (13)
B10.3333330.6666670.7544 (6)0.023 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Y10.0174 (6)0.0174 (6)0.0227 (8)0.0087 (3)0.0000.000
K10.0320 (7)0.0320 (7)0.0463 (10)0.0160 (4)0.0000.000
Sr10.0320 (7)0.0320 (7)0.0463 (10)0.0160 (4)0.0000.000
O10.043 (2)0.043 (2)0.065 (3)0.030 (2)0.0091 (9)0.0091 (9)
B10.023 (3)0.023 (3)0.022 (4)0.0116 (16)0.0000.000
Geometric parameters (Å, º) top
Y1—O1i2.241 (3)K1—O1viii2.7893 (11)
Y1—O1ii2.241 (3)K1—O1x2.7893 (11)
Y1—O1iii2.241 (3)K1—O1xi2.7893 (11)
Y1—O12.241 (3)K1—O1vi2.7893 (11)
Y1—O1iv2.241 (3)K1—O1xii2.7893 (11)
Y1—O1v2.241 (3)K1—O1v2.915 (4)
Y1—K13.7638 (16)K1—O1iv2.915 (5)
Y1—K1iii3.7638 (16)K1—O12.915 (4)
Y1—K1vi3.7695 (9)K1—B1vi3.193 (3)
Y1—K1vii3.7695 (9)K1—B1viii3.193 (3)
Y1—K1viii3.7695 (9)K1—B1xiii3.193 (3)
K1—O1ix2.7893 (11)O1—B11.373 (4)
O1i—Y1—O1ii84.12 (16)O1ix—K1—O1iv71.96 (12)
O1i—Y1—O1iii84.12 (16)O1viii—K1—O1iv133.13 (5)
O1ii—Y1—O1iii84.12 (16)O1x—K1—O1iv104.17 (9)
O1i—Y1—O195.88 (16)O1xi—K1—O1iv104.17 (9)
O1ii—Y1—O195.88 (16)O1vi—K1—O1iv71.96 (12)
O1iii—Y1—O1180.0O1xii—K1—O1iv133.13 (5)
O1i—Y1—O1iv180.0O1v—K1—O1iv62.00 (12)
O1ii—Y1—O1iv95.88 (17)O1ix—K1—O1133.13 (5)
O1iii—Y1—O1iv95.88 (16)O1viii—K1—O1104.17 (9)
O1—Y1—O1iv84.12 (16)O1x—K1—O1133.13 (5)
O1i—Y1—O1v95.88 (17)O1xi—K1—O171.96 (12)
O1ii—Y1—O1v180.00 (11)O1vi—K1—O1104.17 (9)
O1iii—Y1—O1v95.88 (16)O1xii—K1—O171.96 (12)
O1—Y1—O1v84.12 (16)O1v—K1—O162.00 (11)
O1iv—Y1—O1v84.12 (16)O1iv—K1—O162.00 (11)
O1i—Y1—K1129.33 (11)O1ix—K1—B1vi25.40 (9)
O1ii—Y1—K1129.33 (11)O1viii—K1—B1vi136.19 (16)
O1iii—Y1—K1129.33 (11)O1x—K1—B1vi90.20 (10)
O1—Y1—K150.67 (11)O1xi—K1—B1vi90.20 (10)
O1iv—Y1—K150.67 (11)O1vi—K1—B1vi25.40 (9)
O1v—Y1—K150.67 (11)O1xii—K1—B1vi136.19 (16)
O1i—Y1—K1iii50.67 (11)O1v—K1—B1vi118.38 (17)
O1ii—Y1—K1iii50.67 (11)O1iv—K1—B1vi66.9 (2)
O1iii—Y1—K1iii50.67 (11)O1—K1—B1vi118.38 (17)
O1—Y1—K1iii129.33 (11)O1ix—K1—B1viii90.20 (10)
O1iv—Y1—K1iii129.33 (11)O1viii—K1—B1viii25.40 (9)
O1v—Y1—K1iii129.33 (11)O1x—K1—B1viii25.40 (9)
K1—Y1—K1iii180.0O1xi—K1—B1viii136.19 (16)
O1i—Y1—K1vi132.67 (3)O1vi—K1—B1viii136.19 (16)
O1ii—Y1—K1vi73.84 (11)O1xii—K1—B1viii90.20 (10)
O1iii—Y1—K1vi132.67 (3)O1v—K1—B1viii66.9 (2)
O1—Y1—K1vi47.33 (3)O1iv—K1—B1viii118.38 (17)
O1iv—Y1—K1vi47.33 (3)O1—K1—B1viii118.38 (17)
O1v—Y1—K1vi106.16 (11)B1vi—K1—B1viii114.81 (15)
K1—Y1—K1vi55.487 (19)O1ix—K1—B1xiii136.19 (16)
K1iii—Y1—K1vi124.513 (19)O1viii—K1—B1xiii90.20 (10)
O1i—Y1—K1vii132.67 (3)O1x—K1—B1xiii136.19 (16)
O1ii—Y1—K1vii132.67 (3)O1xi—K1—B1xiii25.40 (9)
O1iii—Y1—K1vii73.84 (11)O1vi—K1—B1xiii90.20 (10)
O1—Y1—K1vii106.16 (11)O1xii—K1—B1xiii25.40 (9)
O1iv—Y1—K1vii47.33 (3)O1v—K1—B1xiii118.38 (17)
O1v—Y1—K1vii47.33 (3)O1iv—K1—B1xiii118.38 (17)
K1—Y1—K1vii55.487 (19)O1—K1—B1xiii66.9 (2)
K1iii—Y1—K1vii124.512 (19)B1vi—K1—B1xiii114.81 (15)
K1vi—Y1—K1vii91.06 (3)B1viii—K1—B1xiii114.81 (15)
O1i—Y1—K1viii73.84 (11)B1—O1—Y1139.7 (5)
O1ii—Y1—K1viii132.67 (3)B1—O1—K1viii93.96 (15)
O1iii—Y1—K1viii132.67 (3)Y1—O1—K1viii96.46 (8)
O1—Y1—K1viii47.33 (3)B1—O1—K1vi93.96 (15)
O1iv—Y1—K1viii106.16 (11)Y1—O1—K1vi96.46 (8)
O1v—Y1—K1viii47.33 (3)K1viii—O1—K1vi149.32 (16)
K1—Y1—K1viii55.487 (19)B1—O1—K1127.5 (5)
K1iii—Y1—K1viii124.51 (2)Y1—O1—K192.84 (14)
K1vi—Y1—K1viii91.06 (3)K1viii—O1—K175.84 (9)
K1vii—Y1—K1viii91.06 (3)K1vi—O1—K175.84 (9)
O1ix—K1—O1viii113.66 (6)O1xiv—B1—O1xv119.97 (3)
O1ix—K1—O1x65.12 (16)O1xiv—B1—O1119.97 (3)
O1viii—K1—O1x50.45 (17)O1xv—B1—O1119.97 (3)
O1ix—K1—O1xi113.66 (6)O1xiv—B1—K1xiii60.64 (11)
O1viii—K1—O1xi113.66 (6)O1xv—B1—K1xiii60.64 (11)
O1x—K1—O1xi149.32 (16)O1—B1—K1xiii165.6 (7)
O1ix—K1—O1vi50.45 (17)O1xiv—B1—K1vi60.64 (11)
O1viii—K1—O1vi149.32 (16)O1xv—B1—K1vi165.6 (7)
O1x—K1—O1vi113.66 (6)O1—B1—K1vi60.64 (11)
O1xi—K1—O1vi65.12 (16)K1xiii—B1—K1vi114.81 (15)
O1ix—K1—O1xii149.32 (16)O1xiv—B1—K1viii165.6 (7)
O1viii—K1—O1xii65.12 (16)O1xv—B1—K1viii60.64 (11)
O1x—K1—O1xii113.66 (6)O1—B1—K1viii60.64 (11)
O1xi—K1—O1xii50.45 (17)K1xiii—B1—K1viii114.81 (15)
O1vi—K1—O1xii113.66 (6)K1vi—B1—K1viii114.81 (15)
O1ix—K1—O1v104.17 (9)O1xiv—B1—K1xvi91.0 (5)
O1viii—K1—O1v71.96 (12)O1xv—B1—K1xvi91.0 (5)
O1x—K1—O1v71.96 (12)O1—B1—K1xvi91.0 (5)
O1xi—K1—O1v133.13 (5)K1xiii—B1—K1xvi103.4 (2)
O1vi—K1—O1v133.13 (5)K1vi—B1—K1xvi103.4 (2)
O1xii—K1—O1v104.17 (9)K1viii—B1—K1xvi103.4 (2)
Symmetry codes: (i) y+1/3, x+y+2/3, z+5/3; (ii) xy+1/3, x1/3, z+5/3; (iii) x+4/3, y+2/3, z+5/3; (iv) y+1, xy, z; (v) x+y+1, x+1, z; (vi) x+2/3, y+1/3, z+4/3; (vii) x+5/3, y+1/3, z+4/3; (viii) x+5/3, y+4/3, z+4/3; (ix) xy+2/3, x2/3, z+4/3; (x) y+2/3, x+y+1/3, z+4/3; (xi) y1/3, x+y+1/3, z+4/3; (xii) xy+2/3, x+1/3, z+4/3; (xiii) x+2/3, y+4/3, z+4/3; (xiv) x+y, x+1, z; (xv) y+1, xy+1, z; (xvi) x1/3, y+1/3, z+1/3.
(KSrY_300K-after.cif) top
Crystal data top
B2KO6SrYF(000) = 308
Mr = 333.25Dx = 3.802 Mg m3
Monoclinic, P21/mMo Kα radiation, λ = 0.71073 Å
a = 6.5940 (4) ÅCell parameters from 3080 reflections
b = 5.3718 (3) Åθ = 3.2–28.0°
c = 8.5241 (5) ŵ = 19.76 mm1
β = 105.390 (7)°T = 305 K
V = 291.11 (3) Å3Plate, colorless
Z = 2
Data collection top
XtaLAB Synergy, Single source at home/near, HyPix
diffractometer
Rint = 0.044
Radiation source: micro-focus sealed X-ray tubeθmax = 28.0°, θmin = 3.2°
3080 measured reflectionsh = 88
751 independent reflectionsk = 66
645 reflections with I > 2σ(I)l = 811
Refinement top
Refinement on F258 parameters
Least-squares matrix: full0 restraints
R[F2 > 2σ(F2)] = 0.064 w = 1/[σ2(Fo2) + (0.1199P)2 + 5.P]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.181(Δ/σ)max < 0.001
S = 0.99Δρmax = 3.87 e Å3
751 reflectionsΔρmin = 1.48 e Å3
Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Y10.24074 (13)0.7500000.74611 (10)0.0042 (4)
Sr10.82258 (17)0.7500000.95711 (13)0.0115 (4)
K10.3325 (3)0.2500000.4694 (3)0.0042 (5)
B10.576 (2)1.2500000.8484 (15)0.008 (2)*
B20.078 (2)0.7500000.3283 (16)0.008 (2)
O10.0102 (8)0.4707 (10)0.7528 (6)0.0112 (11)
O20.2497 (13)0.7500001.0143 (9)0.0129 (16)
O30.4996 (9)1.0284 (11)0.7811 (7)0.0168 (13)
O40.2082 (14)0.7500000.4819 (9)0.0153 (18)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Y10.0058 (6)0.0025 (7)0.0044 (6)0.0000.0017 (4)0.000
Sr10.0137 (7)0.0091 (6)0.0117 (6)0.0000.0032 (4)0.000
K10.0066 (11)0.0030 (11)0.0028 (10)0.0000.0008 (9)0.000
B20.011 (5)0.008 (5)0.009 (5)0.0000.009 (5)0.000
O10.015 (3)0.008 (3)0.009 (2)0.008 (2)0.001 (2)0.000 (2)
O20.021 (4)0.010 (4)0.006 (3)0.0000.000 (3)0.000
O30.014 (3)0.010 (3)0.023 (3)0.008 (2)0.003 (2)0.001 (2)
O40.022 (5)0.014 (4)0.007 (3)0.0000.002 (3)0.000
Geometric parameters (Å, º) top
Y1—O42.205 (8)Sr1—B13.150 (7)
Y1—O32.229 (6)Sr1—B1xi3.150 (7)
Y1—O3i2.229 (5)Sr1—B2xii3.166 (14)
Y1—O1i2.246 (5)K1—O4xi2.819 (3)
Y1—O12.246 (5)K1—O42.819 (3)
Y1—O22.271 (7)K1—O3i2.852 (6)
Y1—Sr1ii3.6702 (14)K1—O3xi2.852 (6)
Y1—K1iii3.7283 (16)K1—O1xiii2.867 (6)
Y1—K13.7283 (16)K1—O1iv2.867 (6)
Y1—K1iv3.739 (2)K1—O4v2.946 (9)
Y1—K1v3.747 (2)K1—O3v3.046 (6)
Y1—Sr13.7806 (14)K1—O3xiv3.046 (6)
Sr1—O3i2.707 (6)K1—B1xi3.202 (13)
Sr1—O32.707 (6)K1—B23.225 (8)
Sr1—O1vi2.725 (5)K1—B2xi3.225 (8)
Sr1—O1vii2.725 (5)B1—O3xv1.358 (8)
Sr1—O2viii2.728 (9)B1—O31.358 (8)
Sr1—O1viii2.742 (6)B1—O2x1.407 (15)
Sr1—O1ix2.742 (6)B2—O41.361 (15)
Sr1—O2vii2.7499 (19)B2—O1iv1.386 (8)
Sr1—O2x2.7499 (18)B2—O1xvi1.386 (8)
O4—Y1—O390.0 (2)O3i—K1—O1xiii150.37 (19)
O4—Y1—O3i90.0 (2)O3xi—K1—O1xiii115.62 (14)
O3—Y1—O3i84.3 (3)O4xi—K1—O1iv110.6 (2)
O4—Y1—O1i98.8 (2)O4—K1—O1iv49.77 (19)
O3—Y1—O1i95.2 (2)O3i—K1—O1iv115.62 (14)
O3i—Y1—O1i171.16 (19)O3xi—K1—O1iv150.37 (19)
O4—Y1—O198.8 (2)O1xiii—K1—O1iv63.1 (2)
O3—Y1—O1171.16 (19)O4xi—K1—O4v107.05 (18)
O3i—Y1—O195.2 (2)O4—K1—O4v107.05 (18)
O1i—Y1—O183.9 (3)O3i—K1—O4v74.95 (18)
O4—Y1—O2176.1 (3)O3xi—K1—O4v74.95 (18)
O3—Y1—O292.9 (2)O1xiii—K1—O4v130.33 (16)
O3i—Y1—O292.9 (2)O1iv—K1—O4v130.33 (17)
O1i—Y1—O278.3 (2)O4xi—K1—O3v73.86 (19)
O1—Y1—O278.3 (2)O4—K1—O3v131.1 (2)
O4—Y1—Sr1ii128.2 (2)O3i—K1—O3v137.35 (11)
O3—Y1—Sr1ii125.63 (16)O3xi—K1—O3v109.01 (14)
O3i—Y1—Sr1ii125.63 (16)O1xiii—K1—O3v67.88 (16)
O1i—Y1—Sr1ii48.16 (14)O1iv—K1—O3v97.89 (17)
O1—Y1—Sr1ii48.17 (14)O4v—K1—O3v63.08 (17)
O2—Y1—Sr1ii47.9 (2)O4xi—K1—O3xiv131.1 (2)
O4—Y1—K1iii48.86 (7)O4—K1—O3xiv73.86 (19)
O3—Y1—K1iii49.77 (15)O3i—K1—O3xiv109.01 (14)
O3i—Y1—K1iii108.72 (16)O3xi—K1—O3xiv137.35 (11)
O1i—Y1—K1iii77.24 (14)O1xiii—K1—O3xiv97.89 (17)
O1—Y1—K1iii137.90 (14)O1iv—K1—O3xiv67.88 (16)
O2—Y1—K1iii132.18 (6)O4v—K1—O3xiv63.08 (17)
Sr1ii—Y1—K1iii125.39 (3)O3v—K1—O3xiv58.8 (2)
O4—Y1—K148.86 (7)O4xi—K1—B1xi91.99 (18)
O3—Y1—K1108.72 (16)O4—K1—B1xi91.99 (18)
O3i—Y1—K149.77 (15)O3i—K1—B1xi25.08 (12)
O1i—Y1—K1137.90 (14)O3xi—K1—B1xi25.08 (12)
O1—Y1—K177.24 (14)O1xiii—K1—B1xi138.7 (2)
O2—Y1—K1132.18 (6)O1iv—K1—B1xi138.7 (2)
Sr1ii—Y1—K1125.39 (3)O4v—K1—B1xi68.7 (3)
K1iii—Y1—K192.18 (5)O3v—K1—B1xi122.0 (2)
O4—Y1—K1iv71.7 (2)O3xiv—K1—B1xi122.0 (2)
O3—Y1—K1iv134.76 (15)O4xi—K1—B2132.8 (3)
O3i—Y1—K1iv134.76 (15)O4—K1—B224.9 (3)
O1i—Y1—K1iv49.97 (14)O3i—K1—B291.9 (2)
O1—Y1—K1iv49.97 (14)O3xi—K1—B2136.8 (3)
O2—Y1—K1iv104.3 (2)O1xiii—K1—B288.2 (3)
Sr1ii—Y1—K1iv56.48 (4)O1iv—K1—B225.4 (2)
K1iii—Y1—K1iv90.11 (4)O4v—K1—B2117.8 (2)
K1—Y1—K1iv90.11 (4)O3v—K1—B2113.4 (3)
O4—Y1—K1v51.8 (2)O3xiv—K1—B265.1 (2)
O3—Y1—K1v54.38 (16)B1xi—K1—B2116.6 (2)
O3i—Y1—K1v54.38 (16)O4xi—K1—B2xi24.9 (3)
O1i—Y1—K1v131.83 (14)O4—K1—B2xi132.8 (3)
O1—Y1—K1v131.83 (14)O3i—K1—B2xi136.8 (3)
O2—Y1—K1v132.2 (2)O3xi—K1—B2xi91.9 (2)
Sr1ii—Y1—K1v179.98 (4)O1xiii—K1—B2xi25.4 (2)
K1iii—Y1—K1v54.60 (4)O1iv—K1—B2xi88.2 (3)
K1—Y1—K1v54.60 (4)O4v—K1—B2xi117.8 (2)
K1iv—Y1—K1v123.50 (6)O3v—K1—B2xi65.1 (2)
O4—Y1—Sr1107.3 (2)O3xiv—K1—B2xi113.4 (3)
O3—Y1—Sr144.93 (15)B1xi—K1—B2xi116.6 (2)
O3i—Y1—Sr144.93 (15)B2—K1—B2xi112.8 (4)
O1i—Y1—Sr1130.50 (14)O3xv—B1—O3122.4 (10)
O1—Y1—Sr1130.50 (14)O3xv—B1—O2x118.7 (5)
O2—Y1—Sr176.6 (2)O3—B1—O2x118.7 (5)
Sr1ii—Y1—Sr1124.50 (4)O3xv—B1—Sr1167.3 (9)
K1iii—Y1—Sr189.22 (4)O3—B1—Sr158.8 (4)
K1—Y1—Sr189.22 (4)O2x—B1—Sr160.7 (2)
K1iv—Y1—Sr1179.02 (4)O3xv—B1—Sr1iii58.8 (4)
K1v—Y1—Sr155.52 (4)O3—B1—Sr1iii167.3 (9)
O3i—Sr1—O367.1 (2)O2x—B1—Sr1iii60.7 (2)
O3i—Sr1—O1vi147.59 (19)Sr1—B1—Sr1iii117.0 (4)
O3—Sr1—O1vi111.32 (15)O3xv—B1—K1iii62.9 (5)
O3i—Sr1—O1vii111.32 (15)O3—B1—K1iii62.9 (5)
O3—Sr1—O1vii147.59 (19)O2x—B1—K1iii156.8 (9)
O1vi—Sr1—O1vii51.6 (2)Sr1—B1—K1iii112.2 (2)
O3i—Sr1—O2viii136.24 (16)Sr1iii—B1—K1iii112.2 (2)
O3—Sr1—O2viii136.24 (16)O3xv—B1—Sr1x87.7 (7)
O1vi—Sr1—O2viii68.85 (17)O3—B1—Sr1x87.7 (7)
O1vii—Sr1—O2viii68.85 (17)O2x—B1—Sr1x99.2 (7)
O3i—Sr1—O1viii74.67 (17)Sr1—B1—Sr1x104.9 (3)
O3—Sr1—O1viii109.89 (17)Sr1iii—B1—Sr1x104.9 (3)
O1vi—Sr1—O1viii130.69 (9)K1iii—B1—Sr1x104.1 (4)
O1vii—Sr1—O1viii100.13 (14)O4—B2—O1iv121.2 (5)
O2viii—Sr1—O1viii62.83 (16)O4—B2—O1xvi121.2 (5)
O3i—Sr1—O1ix109.89 (17)O1iv—B2—O1xvi117.6 (10)
O3—Sr1—O1ix74.67 (17)O4—B2—Sr1xvii173.5 (9)
O1vi—Sr1—O1ix100.13 (14)O1iv—B2—Sr1xvii59.0 (5)
O1vii—Sr1—O1ix130.69 (9)O1xvi—B2—Sr1xvii59.0 (5)
O2viii—Sr1—O1ix62.83 (16)O4—B2—K1iii60.6 (3)
O1viii—Sr1—O1ix66.4 (2)O1iv—B2—K1iii165.0 (8)
O3i—Sr1—O2vii51.7 (2)O1xvi—B2—K1iii62.7 (4)
O3—Sr1—O2vii117.3 (2)Sr1xvii—B2—K1iii117.3 (2)
O1vi—Sr1—O2vii113.1 (2)O4—B2—K160.6 (3)
O1vii—Sr1—O2vii62.77 (19)O1iv—B2—K162.7 (4)
O2viii—Sr1—O2vii100.32 (18)O1xvi—B2—K1165.0 (8)
O1viii—Sr1—O2vii68.29 (19)Sr1xvii—B2—K1117.3 (2)
O1ix—Sr1—O2vii134.4 (2)K1iii—B2—K1112.8 (4)
O3i—Sr1—O2x117.3 (2)O4—B2—K1iv84.3 (7)
O3—Sr1—O2x51.7 (2)O1iv—B2—K1iv93.1 (6)
O1vi—Sr1—O2x62.77 (19)O1xvi—B2—K1iv93.1 (6)
O1vii—Sr1—O2x113.1 (2)Sr1xvii—B2—K1iv102.2 (4)
O2viii—Sr1—O2x100.32 (18)K1iii—B2—K1iv101.9 (3)
O1viii—Sr1—O2x134.4 (2)K1—B2—K1iv101.9 (3)
O1ix—Sr1—O2x68.29 (19)B2iv—O1—Y1134.6 (6)
O2vii—Sr1—O2x155.2 (3)B2iv—O1—Sr1vii95.2 (5)
O3i—Sr1—B192.2 (3)Y1—O1—Sr1vii98.84 (18)
O3—Sr1—B125.4 (2)B2iv—O1—Sr1ii130.8 (6)
O1vi—Sr1—B188.3 (2)Y1—O1—Sr1ii94.23 (19)
O1vii—Sr1—B1135.5 (3)Sr1vii—O1—Sr1ii79.87 (14)
O2viii—Sr1—B1118.8 (2)B2iv—O1—K1iv91.9 (5)
O1viii—Sr1—B1122.9 (3)Y1—O1—K1iv93.18 (18)
O1ix—Sr1—B167.1 (3)Sr1vii—O1—K1iv154.9 (2)
O2vii—Sr1—B1140.4 (3)Sr1ii—O1—K1iv77.33 (15)
O2x—Sr1—B126.5 (3)B1x—O2—Y1129.4 (7)
O3i—Sr1—B1xi25.4 (2)B1x—O2—Sr1ii136.6 (7)
O3—Sr1—B1xi92.2 (3)Y1—O2—Sr1ii94.0 (3)
O1vi—Sr1—B1xi135.5 (3)B1x—O2—Sr1vii92.8 (2)
O1vii—Sr1—B1xi88.3 (2)Y1—O2—Sr1vii97.48 (16)
O2viii—Sr1—B1xi118.8 (2)Sr1ii—O2—Sr1vii79.68 (18)
O1viii—Sr1—B1xi67.1 (3)B1x—O2—Sr1x92.8 (2)
O1ix—Sr1—B1xi122.9 (3)Y1—O2—Sr1x97.48 (16)
O2vii—Sr1—B1xi26.5 (3)Sr1ii—O2—Sr1x79.68 (18)
O2x—Sr1—B1xi140.4 (3)Sr1vii—O2—Sr1x155.2 (3)
B1—Sr1—B1xi117.0 (4)B1—O3—Y1145.9 (7)
O3i—Sr1—B2xii133.3 (2)B1—O3—Sr195.9 (6)
O3—Sr1—B2xii133.3 (2)Y1—O3—Sr199.5 (2)
O1vi—Sr1—B2xii25.85 (11)B1—O3—K1iii92.0 (5)
O1vii—Sr1—B2xii25.85 (11)Y1—O3—K1iii93.60 (19)
O2viii—Sr1—B2xii64.6 (3)Sr1—O3—K1iii143.1 (2)
O1viii—Sr1—B2xii115.9 (2)B1—O3—K1v124.3 (7)
O1ix—Sr1—B2xii115.9 (2)Y1—O3—K1v89.12 (19)
O2vii—Sr1—B2xii88.30 (17)Sr1—O3—K1v74.83 (15)
O2x—Sr1—B2xii88.30 (17)K1iii—O3—K1v70.99 (14)
B1—Sr1—B2xii113.0 (2)B2—O4—Y1148.0 (8)
B1xi—Sr1—B2xii113.0 (2)B2—O4—K1iii94.5 (3)
O4xi—K1—O4144.7 (4)Y1—O4—K1iii95.05 (17)
O4xi—K1—O3i114.0 (2)B2—O4—K194.5 (3)
O4—K1—O3i67.1 (2)Y1—O4—K195.05 (17)
O4xi—K1—O3xi67.1 (2)K1iii—O4—K1144.7 (3)
O4—K1—O3xi114.0 (2)B2—O4—K1v119.8 (7)
O3i—K1—O3xi49.3 (2)Y1—O4—K1v92.2 (3)
O4xi—K1—O1xiii49.8 (2)K1iii—O4—K1v72.95 (18)
O4—K1—O1xiii110.6 (2)K1—O4—K1v72.95 (18)
Symmetry codes: (i) x, y+3/2, z; (ii) x1, y, z; (iii) x, y+1, z; (iv) x, y+1, z+1; (v) x+1, y+1, z+1; (vi) x+1, y+1/2, z+2; (vii) x+1, y+1, z+2; (viii) x+1, y, z; (ix) x+1, y+3/2, z; (x) x+1, y+2, z+2; (xi) x, y1, z; (xii) x+1, y, z+1; (xiii) x, y1/2, z+1; (xiv) x+1, y1/2, z+1; (xv) x, y+5/2, z; (xvi) x, y+1/2, z+1; (xvii) x1, y, z1.
 

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