organic compounds
Tris(4-methoxyphenyl)phosphine selenide
aDepartment of Chemistry and Physics, Armstrong State University, Savannah, GA 31419, USA
*Correspondence e-mail: will.lynch@armstrong.edu
The title compound, C21H21O3PSe, is comprised of a P atom in a distorted tetrahedral environment, attached to the Se atom and three C atoms of the phenyl rings. The P—Se bond length is 2.1214 (12) Å. All three methoxy groups are near coplanar with their respective phenyl rings, with the angles between the phenyl ring and the C—O bond of the methoxy groups being 5.7 (2), 1.5 (4), and 5.7 (3)°. The torsion angles of the phenyl rings relative to the P=Se bond are 35.62 (10), 35.07 (13), and 44.50 (11)°. No strong intermolecular interactions were observed, but that in addition to there are C—H⋯π and C—H⋯Se close contacts.
CCDC reference: 1497935
Structure description
The title compound C21H21O3PSe or SeP(C7H7O)3 (Fig. 1) is composed of a distorted tetrahedral phosphorus atom attached to the selenium atom and three carbons from three different phenyl rings. The P=Se bond distance is 2.1214 (15) Å, similar to those reported previously for the phenyl (Codding & Kerr, 1979), p-fluorophenyl (Muller & Meijboom, 2007), p-tolyl (Muller, 2011) and o-tolyl (Cameron & Dahlèn, 1975) derivatives (all 2.10–2.12 Å). This implies minimal effect of the substituent group on the bond distance between the phosphorus and selenium atoms. The torsion angles relative to the P=Se bond in the para methoxy derivative are 35.62 (10), 35.07 (13) and 44.50 (11)° for the aryl rings containing C1, C8, and C15, respectively. The methoxy carbon–oxygen bond alignments can be described as a propeller in three dimensions. The cone angle is 128.2 (7)° for the cone swept out by the phenyl rings during a rotation around the Se=P bond (averaged value for the three phenyl rings). The compound presents extremely weak C—H⋯Se and C—H⋯π intermolecular interactions (Table 1). The crystal packing is shown in Fig. 2.
Synthesis and crystallization
The title compound was synthesized by dissolving 0.25 g (0.71 mmol) of tris-4-methoxyphenylphosphine in 20 ml of methanol. This solution was brought to a boil and an equimolar amount of selenium (0.056 g, 0.71 mmol) was added in one portion. The solution was heated at reflux for 15 minutes and then filtered hot to remove any unreacted selenium metal. Colorless crystals were grown by slow evaporation of the solvent at room temperature. The yield was 70% based on the phosphine starting material. This is an adaptation of a literature preparation by Dakternieks et al. (1994).
Refinement
Crystal data, data collection and structure .
details are summarized in Table 2
|
Structural data
CCDC reference: 1497935
10.1107/S2414314616012712/pk4008sup1.cif
contains datablocks General, I. DOI:Structure factors: contains datablock I. DOI: 10.1107/S2414314616012712/pk4008Isup2.hkl
Supporting information file. DOI: 10.1107/S2414314616012712/pk4008Isup3.cml
Data collection: CrystalClear-SM Expert (Rigaku, 2011); cell
CrystalClear-SM Expert (Rigaku, 2011); data reduction: CrystalClear-SM Expert (Rigaku, 2011); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015); molecular graphics: OLEX2 (Dolomanov et al., 2009); software used to prepare material for publication: OLEX2 (Dolomanov et al., 2009).C21H21O3PSe | F(000) = 880 |
Mr = 431.31 | Dx = 1.427 Mg m−3 |
Monoclinic, Cc | Mo Kα radiation, λ = 0.71075 Å |
a = 16.442 (11) Å | Cell parameters from 2952 reflections |
b = 10.991 (7) Å | θ = 2.3–27.5° |
c = 11.722 (8) Å | µ = 1.97 mm−1 |
β = 108.611 (7)° | T = 173 K |
V = 2008 (2) Å3 | Prism, colorless |
Z = 4 | 0.4 × 0.2 × 0.2 mm |
Rigaku XtaLAB mini diffractometer | 4111 reflections with I > 2σ(I) |
Detector resolution: 6.827 pixels mm-1 | Rint = 0.038 |
ω scans | θmax = 27.5°, θmin = 2.3° |
Absorption correction: multi-scan (REQAB; Rigaku, 1998) | h = −21→21 |
Tmin = 0.532, Tmax = 0.675 | k = −14→14 |
4535 measured reflections | l = −15→15 |
4535 independent reflections |
Refinement on F2 | Hydrogen site location: inferred from neighbouring sites |
Least-squares matrix: full | H-atom parameters constrained |
R[F2 > 2σ(F2)] = 0.033 | w = 1/[σ2(Fo2)] where P = (Fo2 + 2Fc2)/3 |
wR(F2) = 0.065 | (Δ/σ)max = 0.001 |
S = 0.92 | Δρmax = 0.25 e Å−3 |
4535 reflections | Δρmin = −0.47 e Å−3 |
238 parameters | Absolute structure: Flack x determined using 1735 quotients [(I+)-(I-)]/[(I+)+(I-)] (Parsons et al., 2013) |
2 restraints | Absolute structure parameter: 0.002 (7) |
Primary atom site location: structure-invariant direct methods |
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. |
x | y | z | Uiso*/Ueq | ||
Se1 | 0.99996 (3) | 0.83595 (4) | 0.99958 (4) | 0.03525 (12) | |
P1 | 0.89609 (7) | 0.72080 (9) | 0.90804 (9) | 0.0264 (2) | |
O1 | 0.6556 (2) | 0.6964 (3) | 1.1948 (3) | 0.0375 (8) | |
O2 | 1.0079 (2) | 0.2046 (3) | 0.9260 (3) | 0.0368 (8) | |
O3 | 0.7375 (2) | 0.9091 (3) | 0.4097 (3) | 0.0374 (8) | |
C1 | 0.8154 (3) | 0.7122 (4) | 0.9826 (4) | 0.0285 (9) | |
C2 | 0.7986 (3) | 0.8144 (4) | 1.0434 (4) | 0.0346 (10) | |
H2 | 0.8256 | 0.8898 | 1.0388 | 0.042* | |
C3 | 0.7432 (3) | 0.8061 (4) | 1.1096 (4) | 0.0359 (11) | |
H3 | 0.7313 | 0.8764 | 1.1487 | 0.043* | |
C4 | 0.7043 (3) | 0.6962 (4) | 1.1201 (4) | 0.0301 (9) | |
C5 | 0.7181 (3) | 0.5943 (4) | 1.0573 (4) | 0.0305 (10) | |
H5 | 0.6896 | 0.5198 | 1.0604 | 0.037* | |
C6 | 0.7738 (3) | 0.6030 (4) | 0.9905 (4) | 0.0303 (10) | |
H6 | 0.7839 | 0.5333 | 0.9491 | 0.036* | |
C7 | 0.6197 (3) | 0.5831 (5) | 1.2162 (5) | 0.0455 (13) | |
H7A | 0.5753 | 0.5569 | 1.1424 | 0.068* | |
H7B | 0.5943 | 0.5936 | 1.2806 | 0.068* | |
H7C | 0.6650 | 0.5214 | 1.2401 | 0.068* | |
C8 | 0.9314 (3) | 0.5653 (4) | 0.9040 (4) | 0.0274 (9) | |
C9 | 0.9805 (3) | 0.5112 (4) | 1.0133 (4) | 0.0304 (10) | |
H9 | 0.9971 | 0.5581 | 1.0850 | 0.036* | |
C10 | 1.0045 (4) | 0.3915 (4) | 1.0170 (4) | 0.0304 (10) | |
H10 | 1.0367 | 0.3555 | 1.0914 | 0.036* | |
C11 | 0.9818 (3) | 0.3226 (4) | 0.9118 (4) | 0.0285 (9) | |
C12 | 0.9342 (3) | 0.3753 (4) | 0.8025 (4) | 0.0339 (10) | |
H12 | 0.9192 | 0.3288 | 0.7304 | 0.041* | |
C13 | 0.9090 (3) | 0.4966 (4) | 0.7998 (4) | 0.0310 (9) | |
H13 | 0.8760 | 0.5323 | 0.7256 | 0.037* | |
C14 | 0.9843 (5) | 0.1284 (5) | 0.8213 (5) | 0.074 (2) | |
H14A | 1.0099 | 0.1604 | 0.7625 | 0.111* | |
H14B | 0.9217 | 0.1273 | 0.7856 | 0.111* | |
H14C | 1.0052 | 0.0456 | 0.8441 | 0.111* | |
C15 | 0.8431 (3) | 0.7702 (4) | 0.7547 (4) | 0.0267 (9) | |
C16 | 0.7547 (3) | 0.7820 (4) | 0.7069 (4) | 0.0351 (11) | |
H16 | 0.7196 | 0.7584 | 0.7536 | 0.042* | |
C17 | 0.7166 (3) | 0.8280 (4) | 0.5913 (4) | 0.0351 (11) | |
H17 | 0.6560 | 0.8370 | 0.5602 | 0.042* | |
C18 | 0.7675 (3) | 0.8607 (4) | 0.5215 (4) | 0.0295 (9) | |
C19 | 0.8560 (3) | 0.8467 (4) | 0.5681 (4) | 0.0344 (10) | |
H19 | 0.8910 | 0.8677 | 0.5203 | 0.041* | |
C20 | 0.8934 (3) | 0.8026 (4) | 0.6832 (4) | 0.0336 (10) | |
H20 | 0.9540 | 0.7941 | 0.7141 | 0.040* | |
C21 | 0.6481 (3) | 0.9361 (5) | 0.3620 (4) | 0.0448 (12) | |
H21A | 0.6353 | 0.9693 | 0.2806 | 0.067* | |
H21B | 0.6327 | 0.9959 | 0.4136 | 0.067* | |
H21C | 0.6148 | 0.8614 | 0.3590 | 0.067* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Se1 | 0.0326 (2) | 0.0340 (2) | 0.0374 (2) | −0.0059 (2) | 0.00885 (16) | −0.0040 (2) |
P1 | 0.0250 (5) | 0.0250 (5) | 0.0288 (6) | 0.0011 (4) | 0.0081 (4) | 0.0008 (4) |
O1 | 0.0371 (18) | 0.0396 (18) | 0.043 (2) | −0.0021 (16) | 0.0221 (16) | −0.0015 (15) |
O2 | 0.049 (2) | 0.0280 (16) | 0.0346 (18) | 0.0103 (15) | 0.0153 (15) | 0.0035 (13) |
O3 | 0.0367 (19) | 0.0473 (19) | 0.0257 (17) | 0.0091 (17) | 0.0061 (14) | 0.0057 (14) |
C1 | 0.029 (2) | 0.028 (2) | 0.028 (2) | 0.0009 (19) | 0.0087 (18) | 0.0006 (17) |
C2 | 0.035 (3) | 0.026 (2) | 0.045 (3) | 0.000 (2) | 0.016 (2) | −0.0005 (19) |
C3 | 0.036 (3) | 0.029 (2) | 0.049 (3) | 0.001 (2) | 0.023 (2) | −0.004 (2) |
C4 | 0.025 (2) | 0.036 (2) | 0.029 (2) | 0.0003 (19) | 0.0083 (18) | −0.0012 (19) |
C5 | 0.027 (2) | 0.030 (2) | 0.035 (3) | −0.0011 (19) | 0.0106 (19) | −0.0003 (19) |
C6 | 0.033 (3) | 0.026 (2) | 0.032 (2) | −0.0009 (19) | 0.012 (2) | −0.0028 (18) |
C7 | 0.042 (3) | 0.044 (3) | 0.058 (3) | −0.001 (3) | 0.028 (3) | 0.010 (2) |
C8 | 0.028 (2) | 0.028 (2) | 0.028 (2) | −0.0002 (18) | 0.0111 (17) | 0.0017 (17) |
C9 | 0.036 (3) | 0.030 (2) | 0.021 (2) | 0.004 (2) | 0.0046 (18) | 0.0020 (17) |
C10 | 0.033 (2) | 0.031 (2) | 0.026 (3) | 0.002 (2) | 0.008 (2) | 0.0032 (18) |
C11 | 0.033 (2) | 0.028 (2) | 0.027 (2) | 0.0025 (19) | 0.0136 (19) | 0.0034 (17) |
C12 | 0.047 (3) | 0.027 (2) | 0.027 (2) | −0.001 (2) | 0.012 (2) | −0.0016 (18) |
C13 | 0.036 (2) | 0.030 (2) | 0.024 (2) | 0.001 (2) | 0.0051 (18) | 0.0023 (17) |
C14 | 0.147 (7) | 0.035 (3) | 0.047 (4) | 0.027 (4) | 0.040 (4) | 0.003 (3) |
C15 | 0.028 (2) | 0.024 (2) | 0.027 (2) | 0.0006 (18) | 0.0072 (17) | 0.0012 (16) |
C16 | 0.032 (2) | 0.043 (3) | 0.034 (3) | −0.003 (2) | 0.015 (2) | 0.006 (2) |
C17 | 0.023 (2) | 0.041 (3) | 0.038 (3) | 0.001 (2) | 0.0065 (19) | 0.0039 (19) |
C18 | 0.032 (2) | 0.028 (2) | 0.027 (2) | 0.0027 (19) | 0.0077 (19) | −0.0012 (17) |
C19 | 0.029 (2) | 0.043 (3) | 0.033 (3) | 0.006 (2) | 0.013 (2) | 0.0061 (19) |
C20 | 0.023 (2) | 0.042 (3) | 0.035 (3) | 0.004 (2) | 0.0078 (19) | 0.004 (2) |
C21 | 0.039 (3) | 0.061 (3) | 0.030 (3) | 0.012 (3) | 0.004 (2) | 0.000 (2) |
Se1—P1 | 2.1214 (15) | C9—H9 | 0.9500 |
P1—C1 | 1.809 (4) | C9—C10 | 1.370 (5) |
P1—C8 | 1.810 (4) | C10—H10 | 0.9500 |
P1—C15 | 1.812 (4) | C10—C11 | 1.393 (6) |
O1—C4 | 1.362 (5) | C11—C12 | 1.397 (6) |
O1—C7 | 1.433 (5) | C12—H12 | 0.9500 |
O2—C11 | 1.360 (5) | C12—C13 | 1.393 (6) |
O2—C14 | 1.433 (6) | C13—H13 | 0.9500 |
O3—C18 | 1.353 (5) | C14—H14A | 0.9800 |
O3—C21 | 1.428 (5) | C14—H14B | 0.9800 |
C1—C2 | 1.405 (6) | C14—H14C | 0.9800 |
C1—C6 | 1.399 (6) | C15—C16 | 1.387 (6) |
C2—H2 | 0.9500 | C15—C20 | 1.399 (6) |
C2—C3 | 1.376 (6) | C16—H16 | 0.9500 |
C3—H3 | 0.9500 | C16—C17 | 1.394 (6) |
C3—C4 | 1.390 (6) | C17—H17 | 0.9500 |
C4—C5 | 1.398 (6) | C17—C18 | 1.392 (6) |
C5—H5 | 0.9500 | C18—C19 | 1.390 (6) |
C5—C6 | 1.385 (6) | C19—H19 | 0.9500 |
C6—H6 | 0.9500 | C19—C20 | 1.380 (6) |
C7—H7A | 0.9800 | C20—H20 | 0.9500 |
C7—H7B | 0.9800 | C21—H21A | 0.9800 |
C7—H7C | 0.9800 | C21—H21B | 0.9800 |
C8—C9 | 1.409 (6) | C21—H21C | 0.9800 |
C8—C13 | 1.383 (6) | ||
H14C···Se1i | 2.956 (2) | H12···Cg1iii | 2.824 (2) |
H7A···Se1ii | 2.985 (2) | H21B···Cg2iv | 2.946 (3) |
C1—P1—Se1 | 112.53 (15) | C11—C10—H10 | 120.0 |
C1—P1—C8 | 104.71 (19) | O2—C11—C10 | 115.2 (4) |
C1—P1—C15 | 107.5 (2) | O2—C11—C12 | 124.8 (4) |
C8—P1—Se1 | 111.31 (15) | C10—C11—C12 | 120.0 (4) |
C8—P1—C15 | 108.28 (19) | C11—C12—H12 | 120.2 |
C15—P1—Se1 | 112.15 (14) | C13—C12—C11 | 119.6 (4) |
C4—O1—C7 | 118.0 (4) | C13—C12—H12 | 120.2 |
C11—O2—C14 | 117.6 (4) | C8—C13—C12 | 120.6 (4) |
C18—O3—C21 | 118.1 (4) | C8—C13—H13 | 119.7 |
C2—C1—P1 | 119.8 (3) | C12—C13—H13 | 119.7 |
C6—C1—P1 | 121.8 (3) | O2—C14—H14A | 109.5 |
C6—C1—C2 | 118.2 (4) | O2—C14—H14B | 109.5 |
C1—C2—H2 | 119.8 | O2—C14—H14C | 109.5 |
C3—C2—C1 | 120.4 (4) | H14A—C14—H14B | 109.5 |
C3—C2—H2 | 119.8 | H14A—C14—H14C | 109.5 |
C2—C3—H3 | 119.5 | H14B—C14—H14C | 109.5 |
C2—C3—C4 | 120.9 (4) | C16—C15—P1 | 122.6 (3) |
C4—C3—H3 | 119.5 | C16—C15—C20 | 118.5 (4) |
O1—C4—C3 | 115.9 (4) | C20—C15—P1 | 118.8 (3) |
O1—C4—C5 | 124.6 (4) | C15—C16—H16 | 119.5 |
C3—C4—C5 | 119.5 (4) | C15—C16—C17 | 121.0 (4) |
C4—C5—H5 | 120.3 | C17—C16—H16 | 119.5 |
C6—C5—C4 | 119.3 (4) | C16—C17—H17 | 120.1 |
C6—C5—H5 | 120.3 | C18—C17—C16 | 119.8 (4) |
C1—C6—H6 | 119.2 | C18—C17—H17 | 120.1 |
C5—C6—C1 | 121.5 (4) | O3—C18—C17 | 124.8 (4) |
C5—C6—H6 | 119.2 | O3—C18—C19 | 115.8 (4) |
O1—C7—H7A | 109.5 | C19—C18—C17 | 119.4 (4) |
O1—C7—H7B | 109.5 | C18—C19—H19 | 119.7 |
O1—C7—H7C | 109.5 | C20—C19—C18 | 120.5 (4) |
H7A—C7—H7B | 109.5 | C20—C19—H19 | 119.7 |
H7A—C7—H7C | 109.5 | C15—C20—H20 | 119.6 |
H7B—C7—H7C | 109.5 | C19—C20—C15 | 120.7 (4) |
C9—C8—P1 | 118.0 (3) | C19—C20—H20 | 119.6 |
C13—C8—P1 | 122.8 (3) | O3—C21—H21A | 109.5 |
C13—C8—C9 | 119.1 (4) | O3—C21—H21B | 109.5 |
C8—C9—H9 | 119.7 | O3—C21—H21C | 109.5 |
C10—C9—C8 | 120.7 (4) | H21A—C21—H21B | 109.5 |
C10—C9—H9 | 119.7 | H21A—C21—H21C | 109.5 |
C9—C10—H10 | 120.0 | H21B—C21—H21C | 109.5 |
C9—C10—C11 | 120.0 (4) | ||
Se1—P1—C1—C2 | 33.7 (4) | C7—O1—C4—C5 | 3.7 (7) |
Se1—P1—C1—C6 | −140.8 (3) | C8—P1—C1—C2 | 154.7 (4) |
Se1—P1—C8—C9 | 51.3 (4) | C8—P1—C1—C6 | −19.7 (4) |
Se1—P1—C8—C13 | −131.7 (3) | C8—P1—C15—C16 | 105.4 (4) |
Se1—P1—C15—C16 | −131.4 (3) | C8—P1—C15—C20 | −77.3 (4) |
Se1—P1—C15—C20 | 45.9 (4) | C8—C9—C10—C11 | 1.2 (7) |
P1—C1—C2—C3 | −174.0 (4) | C9—C8—C13—C12 | 0.2 (7) |
P1—C1—C6—C5 | 173.8 (3) | C9—C10—C11—O2 | −179.2 (4) |
P1—C8—C9—C10 | 176.0 (4) | C9—C10—C11—C12 | −0.2 (8) |
P1—C8—C13—C12 | −176.8 (3) | C10—C11—C12—C13 | −0.8 (7) |
P1—C15—C16—C17 | 175.7 (4) | C11—C12—C13—C8 | 0.7 (7) |
P1—C15—C20—C19 | −176.6 (4) | C13—C8—C9—C10 | −1.2 (7) |
O1—C4—C5—C6 | −175.5 (4) | C14—O2—C11—C10 | 178.4 (5) |
O2—C11—C12—C13 | 178.1 (4) | C14—O2—C11—C12 | −0.5 (7) |
O3—C18—C19—C20 | 177.5 (4) | C15—P1—C1—C2 | −90.3 (4) |
C1—P1—C8—C9 | −70.5 (4) | C15—P1—C1—C6 | 95.3 (4) |
C1—P1—C8—C13 | 106.5 (4) | C15—P1—C8—C9 | 175.0 (3) |
C1—P1—C15—C16 | −7.2 (4) | C15—P1—C8—C13 | −7.9 (4) |
C1—P1—C15—C20 | 170.1 (3) | C15—C16—C17—C18 | 1.2 (7) |
C1—C2—C3—C4 | 1.5 (7) | C16—C15—C20—C19 | 0.8 (7) |
C2—C1—C6—C5 | −0.7 (7) | C16—C17—C18—O3 | −178.2 (4) |
C2—C3—C4—O1 | 175.4 (4) | C16—C17—C18—C19 | 0.2 (7) |
C2—C3—C4—C5 | −3.5 (7) | C17—C18—C19—C20 | −1.0 (7) |
C3—C4—C5—C6 | 3.3 (7) | C18—C19—C20—C15 | 0.5 (7) |
C4—C5—C6—C1 | −1.2 (7) | C20—C15—C16—C17 | −1.6 (7) |
C6—C1—C2—C3 | 0.6 (7) | C21—O3—C18—C17 | 4.2 (7) |
C7—O1—C4—C3 | −175.2 (4) | C21—O3—C18—C19 | −174.2 (4) |
Symmetry codes: (i) x, y−1, z; (ii) x−1/2, y−1/2, z; (iii) x, −y+1, z−1/2; (iv) x−1/2, −y+3/2, z−1/2. |
Cg1 and Cg2 are the centroids of the C1–C6 and C8–C13 rings, respectively. |
D—H···A | D—H | H···A | D···A | D—H···A |
C14—H14C···Se1i | 0.98 | 2.96 | 3.798 (6) | 145 |
C7—H7A···Se1ii | 0.98 | 2.99 | 3.809 (5) | 142 |
C12—H12···Cg1iii | 0.95 | 2.82 | 3.515 (6) | 130 |
C21—H21B···Cg2iv | 0.98 | 2.95 | 3.606 (6) | 126 |
Symmetry codes: (i) x, y−1, z; (ii) x−1/2, y−1/2, z; (iii) x, −y+1, z−1/2; (iv) x−1/2, −y+3/2, z−1/2. |
Acknowledgements
The authors would like to thank Armstrong State University for support of this work.
References
Cameron, T. S. & Dahlèn, B. (1975). J. Chem. Soc. Perkin Trans. 2, pp. 1737–1751. CSD CrossRef Web of Science Google Scholar
Codding, P. W. & Kerr, K. A. (1979). Acta Cryst. B35, 1261–1263. CSD CrossRef CAS IUCr Journals Web of Science Google Scholar
Dakternieks, D., Dyson, G. A., O'Connell, J. L. & Schiesser, C. H. (1994). J. Chem. Educ. 71, 168–169. CrossRef CAS Google Scholar
Dolomanov, O. V., Bourhis, L. J., Gildea, R. J., Howard, J. A. K. & Puschmann, H. (2009). J. Appl. Cryst. 42, 339–341. Web of Science CrossRef CAS IUCr Journals Google Scholar
Muller, A. (2011). Acta Cryst. E67, o45. Web of Science CSD CrossRef IUCr Journals Google Scholar
Muller, A. & Meijboom, R. (2007). Acta Cryst. E63, o4055. CSD CrossRef IUCr Journals Google Scholar
Parsons, S., Flack, H. D. & Wagner, T. (2013). Acta Cryst. B69, 249–259. Web of Science CrossRef CAS IUCr Journals Google Scholar
Rigaku (1998). REQAB. Rigaku Corporation, Tokyo, Japan. Google Scholar
Rigaku (2011). CrystalClear-SM Expert. Rigaku Corporation, Tokyo, Japan. Google Scholar
Sheldrick, G. M. (2008). Acta Cryst. A64, 112–122. Web of Science CrossRef CAS IUCr Journals Google Scholar
Sheldrick, G. M. (2015). Acta Cryst. C71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
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