organic compounds
[4-(Allyloxy)phenyl](phenyl)methanone
aInstituto de Física de São Carlos, Universidade de São Paulo, Av. Trabalhador são-carlense 400, São Carlos, SP, 13566-590, Brazil, bPrograma de Ingenieria Agroindustrial, Universidad San Buenaventura, AA 7154, Santiago de Cali, Colombia, cDepartamento de Química, Facultad de Ciencias, Universidad del Valle, AA 25360, Santiago de Cali, Colombia, and dCase Western Reserve University, Department of Macromolecular Science and Engineering, 2100 Adelbert Road, Kent Hale Smith Bldg, Cleveland, Ohio 44106, USA
*Correspondence e-mail: ridvries@ifsc.usp.br
The structure of the title compound, C16H14O2, features a dihedral angle of 54.4 (3)° between the aromatic rings. The allyl group is rotated by 37.4 (4)° relative to the adjacent benzene ring. The crystal packing is characterized by numerous C—H⋯O and C—H⋯π interactions. Most of these interactions occur in layers along (011). The layers are linked by C—H⋯π interactions along [100], forming a three-dimensional network.
Keywords: crystal structure.
CCDC reference: 1009057
Related literature
For more details of the synthesis, see: Prucker et al. (1999). For photoreactive properties of benzophenone derivates, see: Shirahata & Kishimoto (1984); Dorman & Prestwich (1994); Beckett & Porter (1963); Kubo et al. (2010); Balakirev et al. (2005); Ferreira et al. (1995); Matsushita et al. (1992). For related structures, see: Schlemper (1982); Norment & Karle (1962); Guo et al. (1992).
Experimental
Crystal data
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Data collection: COLLECT (Nonius, 1998); cell SCALEPACK (Otwinowski & Minor, 1997); data reduction: DENZO (Otwinowski & Minor, 1997) and SCALEPACK; program(s) used to solve structure: SHELXS2013 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2013 (Sheldrick, 2008); molecular graphics: ORTEP-3 for Windows (Farrugia, 2012); software used to prepare material for publication: WinGX (Farrugia, 2012), DIAMOND (Brandenburg, 2006), Mercury (Macrae et al., 2008) and PARST (Nardelli, 1995).
Supporting information
CCDC reference: 1009057
https://doi.org/10.1107/S1600536814014342/ld2129sup1.cif
contains datablocks global, I. DOI:Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600536814014342/ld2129Isup2.hkl
Supporting information file. DOI: https://doi.org/10.1107/S1600536814014342/ld2129Isup3.cml
The title compound C16H14O2, is based on a photoreactive benzophenone derivative that can be bound to SiO2 surfaces via a silane anchor. This substrate is a compound that has a benzophenone moiety which exhibits a known photoreactivity and is particularly useful in photopolymerizable organopolysiloxane and silicone resins Prucker et al., (1999); Shirahata & Kishimoto, (1984); Dorman & Prestwich, (1994); Beckett & Porter, (1963). When triggered by UV light (λ = 365 nm), a biradical is formed, which is able of abstracting a proton from any neighboring aliphatic C—H group to form a C—C bond (Ferreira et al., (1995); Balakirev et al., (2005); Kubo et al. (2010)) and as a result of the a thin layer of the polymer is covalently bound to the surface (Prucker et al. (1999); Shirahata & Kishimoto, (1984); Dorman & Prestwich, (1994); Matsushita et al. (1992)). This molecule can be also copolymerized with other polymer molecules and will not migrate out through its double bond.
Synthesis of (4-Allyloxy-phenyl)-phenyl-methanone. This compound was synthesized by a procedure already reported. A mixture of 4-hydroxybenzophenone (39.6 g, 0.2 mol) and allyl bromide (26.6 g, 0.22 mol) were dissolved in 120 mL of acetone and 28 g of potassium carbonate. The mixture was heated to reflux for 8 h and then cooled down to room temperature. Water (80 mL) was added and the resulting solution was extracted twice with 100 mL of diethyl ether. The combined organic phases were washed with 100 mL of aqueous NaOH (10%) and dried over Na2SO4, and the solvent was evaporated. The resulting yellowish product was purified from methanol to yield 40 g (89%) of pure product as confirmed by NMR. FTIR (KBr): 3081, 3059, 3022, 2939, 2865, 1650, 1600 cm-1. 1H NMR (CDCl3, δ(ppm): 4.6 (m, 2H, OCH2), 5.3-5.5 (m, 2H, CH2=), 6.1 (m, 1H,=CH-), 7.21 (2H, m); 7.44 (2H, m); 7.56 (1H, m); 7.77 (2H, m); 7.88 (2H, m). 13C NMR: δ(ppm) in CDCl3: 195.13 (C=O), 162.14 (OCarom), 149.12, 137.60, 135.94, 132.78, 131.93, 130.19, 128.35, 118.29, 115.91, 69.34 (OCH2).
All H atoms were placed in idealized positions, with C—H bond lengths fixed to 0.93 (aromatic C—H) or 0.97 Å (terminal methylene), and refined as riding with displacement parameters calculated as Uiso(H) = xUeq(carrier C) where x = 1.2.
The compound C16H14O2 is a benzophenone derivate formed by two aromatic rings linked by a ketone funtion. The presence of the ketone funtion and an allyloxy group make of this molecule particularly useful in photopolymerizable organopolysiloxane and silicone resins, and a excellent substrate for selective catalysis. The rings are twisted with a torsion angle formed between C6—C1—C7—C8 of 136.59 (31)°. The allyloxy group presents a torsion angle of -7.99 (42)° (C10—C11—O2—C14) relative to the aromatic ring. The molecules interact via supramolecular weak interactions C5—H5···π = 3.651 (3) , C14—H14B···O1 = 3.596 (4) and C10—H10··O2 = 3.528 (4) Å giving rise to supramolecular layers in the plane (011). C14—H14B···π = 3.698 (2) Å interaction join the layers along [100] to obtain the supramolecular crystal packing.
The title compound C16H14O2, is based on a photoreactive benzophenone derivative that can be bound to SiO2 surfaces via a silane anchor. This substrate is a compound that has a benzophenone moiety which exhibits a known photoreactivity and is particularly useful in photopolymerizable organopolysiloxane and silicone resins Prucker et al., (1999); Shirahata & Kishimoto, (1984); Dorman & Prestwich, (1994); Beckett & Porter, (1963). When triggered by UV light (λ = 365 nm), a biradical is formed, which is able of abstracting a proton from any neighboring aliphatic C—H group to form a C—C bond (Ferreira et al., (1995); Balakirev et al., (2005); Kubo et al. (2010)) and as a result of the a thin layer of the polymer is covalently bound to the surface (Prucker et al. (1999); Shirahata & Kishimoto, (1984); Dorman & Prestwich, (1994); Matsushita et al. (1992)). This molecule can be also copolymerized with other polymer molecules and will not migrate out through its double bond.
Synthesis of (4-Allyloxy-phenyl)-phenyl-methanone. This compound was synthesized by a procedure already reported. A mixture of 4-hydroxybenzophenone (39.6 g, 0.2 mol) and allyl bromide (26.6 g, 0.22 mol) were dissolved in 120 mL of acetone and 28 g of potassium carbonate. The mixture was heated to reflux for 8 h and then cooled down to room temperature. Water (80 mL) was added and the resulting solution was extracted twice with 100 mL of diethyl ether. The combined organic phases were washed with 100 mL of aqueous NaOH (10%) and dried over Na2SO4, and the solvent was evaporated. The resulting yellowish product was purified from methanol to yield 40 g (89%) of pure product as confirmed by NMR. FTIR (KBr): 3081, 3059, 3022, 2939, 2865, 1650, 1600 cm-1. 1H NMR (CDCl3, δ(ppm): 4.6 (m, 2H, OCH2), 5.3-5.5 (m, 2H, CH2=), 6.1 (m, 1H,=CH-), 7.21 (2H, m); 7.44 (2H, m); 7.56 (1H, m); 7.77 (2H, m); 7.88 (2H, m). 13C NMR: δ(ppm) in CDCl3: 195.13 (C=O), 162.14 (OCarom), 149.12, 137.60, 135.94, 132.78, 131.93, 130.19, 128.35, 118.29, 115.91, 69.34 (OCH2).
The compound C16H14O2 is a benzophenone derivate formed by two aromatic rings linked by a ketone funtion. The presence of the ketone funtion and an allyloxy group make of this molecule particularly useful in photopolymerizable organopolysiloxane and silicone resins, and a excellent substrate for selective catalysis. The rings are twisted with a torsion angle formed between C6—C1—C7—C8 of 136.59 (31)°. The allyloxy group presents a torsion angle of -7.99 (42)° (C10—C11—O2—C14) relative to the aromatic ring. The molecules interact via supramolecular weak interactions C5—H5···π = 3.651 (3) , C14—H14B···O1 = 3.596 (4) and C10—H10··O2 = 3.528 (4) Å giving rise to supramolecular layers in the plane (011). C14—H14B···π = 3.698 (2) Å interaction join the layers along [100] to obtain the supramolecular crystal packing.
For more datails of the synthesis, see: Prucker et al. (1999). For photoreactive properties of benzophenone derivates, see: Shirahata & Kishimoto (1984); Dorman & Prestwich (1994); Beckett & Porter (1963); Kubo et al. (2010); Balakirev et al. (2005); Ferreira et al. (1995); Matsushita et al. (1992). For related structures, see: Schlemper (1982); Norment & Karle (1962); Guo et al. (1992).
detailsAll H atoms were placed in idealized positions, with C—H bond lengths fixed to 0.93 (aromatic C—H) or 0.97 Å (terminal methylene), and refined as riding with displacement parameters calculated as Uiso(H) = xUeq(carrier C) where x = 1.2.
Data collection: COLLECT (Nonius, 1998); cell
SCALEPACK (Otwinowski & Minor, 1997); data reduction: DENZO and SCALEPACK (Otwinowski & Minor, 1997); program(s) used to solve structure: SHELXS2013 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2013 (Sheldrick, 2008); molecular graphics: ORTEP-3 for Windows (Farrugia, 2012); software used to prepare material for publication: WinGX (Farrugia, 2012), DIAMOND (Brandenburg, 2006), Mercury (Macrae et al., 2008) and PARST (Nardelli, 1995).Fig. 1. The ORTEP structure of the title compound with displacement ellipsoid plot drawn at the 50% probability level. | |
Fig. 2. Crystal packing view of the title compound along [100] direction. The hydrogen bonds are shown as dashed lines. | |
Fig. 3. Crystal packing view of the title compound along [001] direction. The hydrogen bonds are shown as dashed lines. |
C16H14O2 | F(000) = 252 |
Mr = 238.27 | Dx = 1.231 Mg m−3 |
Monoclinic, P21 | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: P 2yb | Cell parameters from 1583 reflections |
a = 6.0141 (5) Å | θ = 3.0–27.9° |
b = 7.8839 (8) Å | µ = 0.08 mm−1 |
c = 13.5992 (14) Å | T = 293 K |
β = 94.442 (6)° | Prism, colourless |
V = 642.86 (11) Å3 | 0.12 × 0.08 × 0.06 mm |
Z = 2 |
Nonius KappaCCD diffractometer | 1021 reflections with I > 2σ(I) |
Radiation source: Enraf–Nonius FR590 | Rint = 0.065 |
Horizonally mounted graphite crystal monochromator | θmax = 27.8°, θmin = 3.0° |
Detector resolution: 9 pixels mm-1 | h = 0.000000→7.000000 |
CCD rotation images, thick slices scans | k = 0.00000→10.000000 |
1609 measured reflections | l = −17.00000→17.000000 |
1603 independent reflections |
Refinement on F2 | 0 constraints |
Least-squares matrix: full | Hydrogen site location: inferred from neighbouring sites |
R[F2 > 2σ(F2)] = 0.049 | H atoms treated by a mixture of independent and constrained refinement |
wR(F2) = 0.133 | w = 1/[σ2(Fo2) + (0.0858P)2] where P = (Fo2 + 2Fc2)/3 |
S = 1.01 | (Δ/σ)max < 0.001 |
1603 reflections | Δρmax = 0.17 e Å−3 |
167 parameters | Δρmin = −0.16 e Å−3 |
1 restraint |
C16H14O2 | V = 642.86 (11) Å3 |
Mr = 238.27 | Z = 2 |
Monoclinic, P21 | Mo Kα radiation |
a = 6.0141 (5) Å | µ = 0.08 mm−1 |
b = 7.8839 (8) Å | T = 293 K |
c = 13.5992 (14) Å | 0.12 × 0.08 × 0.06 mm |
β = 94.442 (6)° |
Nonius KappaCCD diffractometer | 1021 reflections with I > 2σ(I) |
1609 measured reflections | Rint = 0.065 |
1603 independent reflections |
R[F2 > 2σ(F2)] = 0.049 | 1 restraint |
wR(F2) = 0.133 | H atoms treated by a mixture of independent and constrained refinement |
S = 1.01 | Δρmax = 0.17 e Å−3 |
1603 reflections | Δρmin = −0.16 e Å−3 |
167 parameters |
Experimental. The absence of some reflections of the data sets is due to merged them. The 001 reflection was removed because it intensity was affect by the beam stop. |
Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes. |
x | y | z | Uiso*/Ueq | ||
C16 | 1.2957 (8) | 0.3081 (6) | 0.2215 (3) | 0.1064 (13) | |
H16A | 1.4203 | 0.317 | 0.2662 | 0.128* | |
H16B | 1.3132 | 0.2899 | 0.155 | 0.128* | |
H15 | 0.960 (6) | 0.322 (7) | 0.199 (3) | 0.119 (14)* | |
C1 | 0.5814 (4) | 0.3364 (4) | 0.8323 (2) | 0.0589 (7) | |
C2 | 0.7988 (4) | 0.3074 (4) | 0.8703 (2) | 0.0660 (8) | |
H2 | 0.8946 | 0.2419 | 0.8356 | 0.079* | |
C3 | 0.8714 (5) | 0.3768 (5) | 0.9602 (2) | 0.0780 (9) | |
H3 | 1.0159 | 0.3552 | 0.9867 | 0.094* | |
C4 | 0.7337 (6) | 0.4775 (5) | 1.0114 (2) | 0.0846 (10) | |
H4 | 0.7851 | 0.5244 | 1.0717 | 0.102* | |
C5 | 0.5206 (6) | 0.5084 (5) | 0.9730 (3) | 0.0825 (9) | |
H5 | 0.4277 | 0.5779 | 1.0068 | 0.099* | |
C6 | 0.4430 (5) | 0.4374 (5) | 0.8849 (2) | 0.0732 (8) | |
H6 | 0.2967 | 0.457 | 0.8601 | 0.088* | |
C7 | 0.4818 (4) | 0.2537 (4) | 0.7404 (2) | 0.0618 (7) | |
C8 | 0.6023 (4) | 0.2502 (3) | 0.64903 (19) | 0.0551 (6) | |
C9 | 0.7921 (4) | 0.3450 (4) | 0.63562 (19) | 0.0558 (6) | |
H9 | 0.8546 | 0.4107 | 0.6874 | 0.067* | |
C10 | 0.8906 (4) | 0.3438 (3) | 0.54670 (18) | 0.0577 (6) | |
H10 | 1.0187 | 0.4071 | 0.5394 | 0.069* | |
C11 | 0.7969 (4) | 0.2475 (4) | 0.46872 (19) | 0.0570 (6) | |
C12 | 0.6079 (4) | 0.1514 (4) | 0.4819 (2) | 0.0666 (8) | |
H12 | 0.5458 | 0.0852 | 0.4302 | 0.08* | |
C13 | 0.5125 (4) | 0.1529 (4) | 0.5696 (2) | 0.0656 (7) | |
H13 | 0.3855 | 0.0881 | 0.5767 | 0.079* | |
C14 | 1.0531 (5) | 0.3498 (4) | 0.3553 (2) | 0.0700 (8) | |
H14A | 1.1858 | 0.3269 | 0.3984 | 0.084* | |
H14B | 1.0095 | 0.4668 | 0.3647 | 0.084* | |
C15 | 1.0986 (7) | 0.3210 (6) | 0.2518 (2) | 0.0848 (10) | |
O1 | 0.2952 (3) | 0.1918 (4) | 0.74038 (17) | 0.0906 (8) | |
O2 | 0.8762 (3) | 0.2378 (3) | 0.37801 (13) | 0.0715 (6) |
U11 | U22 | U33 | U12 | U13 | U23 | |
C16 | 0.136 (3) | 0.105 (3) | 0.082 (2) | 0.012 (3) | 0.032 (2) | −0.009 (2) |
C1 | 0.0556 (14) | 0.0588 (16) | 0.0637 (14) | −0.0029 (13) | 0.0135 (12) | 0.0036 (14) |
C2 | 0.0571 (15) | 0.0756 (19) | 0.0663 (17) | 0.0002 (13) | 0.0116 (13) | 0.0027 (15) |
C3 | 0.0674 (16) | 0.103 (3) | 0.0636 (17) | −0.0109 (17) | 0.0026 (14) | 0.0057 (17) |
C4 | 0.098 (2) | 0.093 (2) | 0.0655 (18) | −0.0230 (19) | 0.0192 (18) | −0.0085 (18) |
C5 | 0.089 (2) | 0.077 (2) | 0.084 (2) | 0.0005 (18) | 0.0283 (18) | −0.0107 (18) |
C6 | 0.0629 (15) | 0.0760 (19) | 0.083 (2) | 0.0060 (15) | 0.0220 (14) | 0.0025 (18) |
C7 | 0.0487 (14) | 0.0666 (16) | 0.0700 (16) | 0.0002 (13) | 0.0041 (12) | 0.0027 (14) |
C8 | 0.0513 (13) | 0.0511 (14) | 0.0624 (15) | 0.0022 (12) | 0.0006 (11) | 0.0025 (13) |
C9 | 0.0535 (13) | 0.0560 (14) | 0.0570 (14) | −0.0015 (12) | −0.0011 (11) | −0.0035 (13) |
C10 | 0.0563 (13) | 0.0584 (15) | 0.0584 (15) | −0.0056 (13) | 0.0038 (12) | 0.0000 (14) |
C11 | 0.0617 (14) | 0.0521 (13) | 0.0568 (15) | 0.0042 (13) | 0.0017 (12) | 0.0011 (14) |
C12 | 0.0700 (16) | 0.0608 (16) | 0.0671 (18) | −0.0082 (14) | −0.0076 (14) | −0.0089 (15) |
C13 | 0.0603 (15) | 0.0614 (16) | 0.0751 (19) | −0.0101 (14) | 0.0055 (14) | −0.0019 (16) |
C14 | 0.0773 (18) | 0.0667 (18) | 0.0672 (17) | 0.0032 (15) | 0.0133 (14) | −0.0003 (16) |
C15 | 0.099 (2) | 0.092 (2) | 0.0645 (17) | 0.001 (2) | 0.0139 (18) | 0.0056 (18) |
O1 | 0.0605 (12) | 0.121 (2) | 0.0911 (15) | −0.0256 (13) | 0.0138 (11) | −0.0100 (15) |
O2 | 0.0857 (13) | 0.0694 (12) | 0.0600 (11) | −0.0070 (11) | 0.0099 (9) | −0.0039 (11) |
C16—C15 | 1.289 (5) | C8—C9 | 1.388 (4) |
C16—H16A | 0.93 | C8—C13 | 1.399 (4) |
C16—H16B | 0.93 | C9—C10 | 1.387 (4) |
C1—C2 | 1.387 (3) | C9—H9 | 0.93 |
C1—C6 | 1.390 (4) | C10—C11 | 1.387 (4) |
C1—C7 | 1.494 (4) | C10—H10 | 0.93 |
C2—C3 | 1.379 (4) | C11—O2 | 1.359 (3) |
C2—H2 | 0.93 | C11—C12 | 1.389 (4) |
C3—C4 | 1.375 (5) | C12—C13 | 1.363 (4) |
C3—H3 | 0.93 | C12—H12 | 0.93 |
C4—C5 | 1.368 (5) | C13—H13 | 0.93 |
C4—H4 | 0.93 | C14—O2 | 1.435 (3) |
C5—C6 | 1.371 (5) | C14—C15 | 1.472 (4) |
C5—H5 | 0.93 | C14—H14A | 0.97 |
C6—H6 | 0.93 | C14—H14B | 0.97 |
C7—O1 | 1.224 (3) | C15—H15 | 1.06 (4) |
C7—C8 | 1.486 (4) | ||
C15—C16—H16A | 120 | C13—C8—C7 | 118.1 (2) |
C15—C16—H16B | 120 | C8—C9—C10 | 121.5 (2) |
H16A—C16—H16B | 120 | C8—C9—H9 | 119.3 |
C2—C1—C6 | 119.2 (3) | C10—C9—H9 | 119.3 |
C2—C1—C7 | 123.1 (3) | C11—C10—C9 | 119.6 (2) |
C6—C1—C7 | 117.6 (2) | C11—C10—H10 | 120.2 |
C3—C2—C1 | 119.3 (3) | C9—C10—H10 | 120.2 |
C3—C2—H2 | 120.3 | O2—C11—C10 | 125.1 (2) |
C1—C2—H2 | 120.3 | O2—C11—C12 | 115.7 (2) |
C4—C3—C2 | 121.1 (3) | C10—C11—C12 | 119.2 (2) |
C4—C3—H3 | 119.5 | C13—C12—C11 | 120.8 (3) |
C2—C3—H3 | 119.5 | C13—C12—H12 | 119.6 |
C5—C4—C3 | 119.5 (3) | C11—C12—H12 | 119.6 |
C5—C4—H4 | 120.3 | C12—C13—C8 | 121.1 (2) |
C3—C4—H4 | 120.3 | C12—C13—H13 | 119.4 |
C6—C5—C4 | 120.5 (3) | C8—C13—H13 | 119.4 |
C6—C5—H5 | 119.8 | O2—C14—C15 | 107.8 (3) |
C4—C5—H5 | 119.8 | O2—C14—H14A | 110.1 |
C5—C6—C1 | 120.4 (3) | C15—C14—H14A | 110.1 |
C5—C6—H6 | 119.8 | O2—C14—H14B | 110.1 |
C1—C6—H6 | 119.8 | C15—C14—H14B | 110.1 |
O1—C7—C8 | 120.0 (3) | H14A—C14—H14B | 108.5 |
O1—C7—C1 | 118.8 (3) | C16—C15—C14 | 124.2 (4) |
C8—C7—C1 | 121.2 (2) | C16—C15—H15 | 119 (2) |
C9—C8—C13 | 117.8 (2) | C14—C15—H15 | 117 (2) |
C9—C8—C7 | 124.0 (2) | C11—O2—C14 | 118.6 (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 |
C5—H5···Cg1i | 0.93 | 2.83 | 3.651 (3) | 147 |
C14—H14B···Cg2ii | 0.97 | 2.96 | 3.630 (3) | 127 |
C10—H10···O2ii | 0.93 | 2.89 | 3.528 (4) | 127 |
C2—H2···O1iii | 0.93 | 2.85 | 3.698 (4) | 152 |
C14—H14B···O1iv | 0.97 | 2.85 | 3.596 (4) | 134 |
Symmetry codes: (i) −x+1, y+1/2, −z+2; (ii) −x+2, y+1/2, −z+1; (iii) x+1, y, z; (iv) −x+1, y+1/2, −z+1. |
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 |
C5—H5···Cg1i | 0.93 | 2.83 | 3.651 (3) | 147 |
C14—H14B···Cg2ii | 0.97 | 2.96 | 3.630 (3) | 127 |
C10—H10···O2ii | 0.93 | 2.89 | 3.528 (4) | 127 |
C2—H2···O1iii | 0.93 | 2.85 | 3.698 (4) | 152 |
C14—H14B···O1iv | 0.97 | 2.85 | 3.596 (4) | 134 |
Symmetry codes: (i) −x+1, y+1/2, −z+2; (ii) −x+2, y+1/2, −z+1; (iii) x+1, y, z; (iv) −x+1, y+1/2, −z+1. |
Acknowledgements
RFD acknowledges a CAPES/PNPD scholarship from the Brazilian Ministry of Education (MEC) and the Crystallography Group of the Instituto de Física de São Carlos, Universidade de São Paulo. MNC acknowledges the Centro en Excelencia en Nuevos Materiales (CENM), the Vicerrectoría de Investigaciones of Universidad del Valle, Banco de la República and Colciencias from Colombia for partial financial support. CDG acnowledges the Universidad de San Buenaventura Cali for partial financial support.
References
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