Home Physical Sciences Chromium(III) complexes with 1,2,4-diazaphospholide and 2,6-bis(N-1,2,4-diazaphosphol-1-yl) pyridine ligands: synthesis, X-ray structural characterization, EPR spectroscopy analysis, and magnetic susceptibility studies
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Chromium(III) complexes with 1,2,4-diazaphospholide and 2,6-bis(N-1,2,4-diazaphosphol-1-yl) pyridine ligands: synthesis, X-ray structural characterization, EPR spectroscopy analysis, and magnetic susceptibility studies

  • Jing Su , Lian Duan and Wenjun Zheng EMAIL logo
Published/Copyright: May 5, 2016
Become an author with De Gruyter Brill

Abstract

Three chromium(III) 1,2,4-diazaphospholide complexes were prepared: 3,5-di-tert-butyl-1,2,4-diazaphospholide chromium(III) dichloride [(η2-3,5-tBu2dp)Cr(THF)2Cl2] (1), 3,5-di-phenyl-1,2,4-diazaphospholide chromium(III) dichloride [(η2-3,5-Ph2dp)Cr(THF)2Cl2] (2), and 2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyridine chromium(III) trichloride {[2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyridine]CrCl3} (3). X-ray diffraction analysis has shown that these six-coordinate complexes each have a pseudo-octahedral configuration. Electron paramagnetic resonance (EPR) spectroscopy data for complex 1 for the paramagnetic S = 3/2 system (d3 electron configuration) confirm a Cr(III) center in the octahedral coordination environment. The magnetic susceptibility of complex 1 followed the Curie–Weiss law well between 25 and 300 K. The magnetic moment of 1 was found to be close to the spin-only magnetic moment expected for three unpaired electrons (3.87 μB).

1 Introduction

1H-1,2,4-Diazaphospholes H[3,5-R2dp] (R = H, iPr, Ph, tBu), exhibiting electrochemical and coordinating properties endowed by the low-coordinated P(σ2λ3) atom, represent a class of unique aromatic five-membered heterocyclic systems [15]. These ligands may be viewed as hybrid molecules of the corresponding phospholes [6] and pyrazoles [79] (i.e. as P-doped pyrazoles [10, 11]), as 1H-1,2,4-trizole analogs in which the 4-nitrogen atom is replaced with a P(σ2λ3) atom [12, 13], or as analogs of protonated 1,2,4-triphospholides [1416]. Our research group and others have shown that deprotonated 1H-1,2,4-diazaphospholes ([3,5-R2dp]) are very versatile ligands that can coordinate to a wide range of metal ions [1731]. The unique electronic properties of 1,2,4-diazaphospholides allow them to form complexes with novel molecular structural characteristics, with the coordination types η1(N), η1(N1):η1(N2), and η2(N1,N2) via the nitrogen atom or atoms and type η5 via the π-electron system of the ring [2031]. Very recently, we demonstrated that these anionic ligands are non-innocent and redox active, and that they can be reduced by metallic potassium or oxidized by metal ions, such as Bi3+, Cu2+, and Fe3+ [25, 28, 30]. These findings suggest that 1,2,4-diazaphospholide ligands may coordinate to d-block metal species. We have also shown that 1,2,4-diazaphospholides can combine with pyridine and pyrazine to give the derivatives 2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyridine (bdppy) and 2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyrazine (bdppz), and we used these derivatives (for the first time) as ligands for metal ions such as Cu2+ and Zn2+ [29]. The zinc complex with the bdppy ligands contained four low-valent phosphorus atoms (σ2λ3). Copper complexes with bdppz ligands had paramagnetic properties (determined by electron paramagnetic resonance spectroscopy (EPR) and magnetic susceptibility) [29]. Such complexes are of great interest because they could be used as catalysts [27], and the complexes are expected to possess distinct magnetic and luminescence properties influenced by the low-valent phosphorus atom (σ2λ3) that are present in the molecules [13, 16].

In the past few decades, chromium(III) complexes have been used as homogeneous and heterogeneous catalysts to polymerize ethylene and α-olefins [3234] and as magnetic materials [35]. We have been interested in preparing 1,2,4-diazaphospholide complexes for use in catalysis and magnetic materials [2031]. We therefore decided to study Cr(III) complexes with 1,2,4-diazaphospholide and 2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyridine ligands. We noticed that a small number of Cr(III) complexes with pincer pyridine derivatives have been found to be effective catalysts for the polymerization of ethylene [3234]. We hoped that compounds based on chromium(III)-1,2,4-diazaphospholide/2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyridine, with half-integer spin (S = 1/2 or 3/2) Kramer’s systems, would have interesting magnetic properties to be detected by EPR spectroscopy [36, 37]. Here, we describe the synthesis and X-ray characterization of three Cr(III) metal complexes with 1,2,4-diazaphospholide and 2,6-bis(N-1,2,4-diazaphosphol-1-yl)pyridine, respectively. Additionally, the paramagnetic properties of complex [(η2-3,5-tBu2dp)Cr(THF)2Cl2] (1) (THF = tetrahydrofuran) were studied by using EPR spectroscopy and magnetic susceptibility measurements.

2 Results and discussion

2.1 Syntheses of complexes 1–3

No Cr(III) complexes with 1,2,4-diazaphospholide anions have previously been reported, although the Cr(0) carbonyl compound [(η1(N):η1(P)Hdp){Cr(CO)5}2], with a neutral 1H-1,2,4-diazaphosphole ligand (Hdp), was described several years ago [17]. It therefore appeared that an exploration of Cr(III) complexes with the 1,2,4-diazaphospholide/2,6-bis(N-2,4-diazaphosphol-1-yl)pyridine ligand was required. CrCl3(THF)3 was reacted with K[3,5-tBu2dp] [20] at a ratio of 1:1 in toluene at 0°C. The reaction proceeded smoothly and gave [η2-3,5-tBu2dp)Cr(THF)2Cl2] (1) as violet crystals in 75% yield (see Scheme 1). Reacting CrCl3(THF)3 with K[3,5-ph2dp]·0.67THF [20] similarly gave the complex [(η2-3,5-ph2dp)Cr(THF)2Cl2] (2) as blue-green crystals in a fair yield (45%) (see Scheme 1). Compounds 1 and 2 were soluble in n-hexane and very soluble in toluene and THF.

Scheme 1: Preparation of complexes 1 and 2.
Scheme 1:

Preparation of complexes 1 and 2.

As mentioned above, 2,6-bis(N-2,4-diazaphosphol-1-yl)pyridine was synthesized very recently, and it has only been used to prepare a 2,6-bis(N-2,4-diazaphosphol-1-yl)pyridine zinc complex [29]. Encouraged by this, the complex {[2,6-bis(N-2,4-diazaphosphol-1-yl)pyridine]CrCl3} (3) was prepared by reacting CrCl3(THF)3 with 2,6-bis(N-1,2,4-diazaphospholyl-1-yl)pyridine [29] at a ratio of 1:1 in anhydrous ethanol at room temperature (Scheme 2). Complex 3 was isolated as deep green crystals, and was soluble in ethanol, dimethylformamide, and dimethylsulfoxide. We found that complex 3 could also be obtained in a fair yield and under similar conditions by reacting CrCl2 with 2,6-bis(N-1,2,4-diazaphospholyl-1-yl)pyridine in the presence of adventitious oxygen at room temperature.

Scheme 2: Preparation of complex 3.
Scheme 2:

Preparation of complex 3.

2.2 Descriptions of the structures of complexes 1–3

X-ray diffraction analyses of crystals of complexes 1 and 2 showed that in each complex the metal center is pseudo-octahedrally coordinated by the [3,5-R2dp] ligand in a η2 coordination mode, two chloro ligands, and two THF molecules. The structures of 1 and 2 are shown in Figs. 1 and 2, respectively [38]. Complexes 1 and 2 were actually found to be structurally very similar. Important crystallographic data for complexes 1 and 2 are given in Table 1, and selected bond lengths and bond angles are given in Table 2. The Cr–N bond lengths (2.013(3) Å in 1 and 2.014(19) Å in 2) and the N–Cr–N bond angles (39.1(14)° in 1 and 39.09(10)° in 2) were comparable to those previously found in [Cr(η2-3,5-tBu2pz)3] (pz = pyrazolato), in which the Cr–N bond length was 1.986(6) Å and the N–Cr(III)–N bond angle was 40.24(11)° [39].

Fig. 1: Molecular structure of 1 in the crystal. Displacement ellipsoids are drawn at the 30% probability level; hydrogen atoms are omitted for clarity.
Fig. 1:

Molecular structure of 1 in the crystal. Displacement ellipsoids are drawn at the 30% probability level; hydrogen atoms are omitted for clarity.

Fig. 2: Molecular structure of 2 in the crystal. Displacement ellipsoids are drawn at the 30% probability level; hydrogen atoms are omitted for clarity.
Fig. 2:

Molecular structure of 2 in the crystal. Displacement ellipsoids are drawn at the 30% probability level; hydrogen atoms are omitted for clarity.

Table 1:

Crystal structure data for compounds 1–3.

Compound123
FormulaC18H34Cl2CrN2O2PC22H26Cl2CrN2O2PC9H7Cl3CrN5P2
Formula weight464.34504.32405.49
Crystal size (mm3)0.21 × 0.16 × 0.120.32 × 0.21 × 0.110.21 × 0.15 × 0.10
Crystal systemMonoclinicMonoclinicMonoclinic
Space groupC2/cC2/cP21/n
a (Å)16.3263(14)18.7047(7)8.5336(4)
b (Å)15.0499(11)14.7047(5)15.2618(5)
c (Å)9.8259(11)8.8706(5)11.9914(6)
β (deg)98.46495.551100.804
V3)2388.0(4)2428.39(18)1534.06(12)
Z444
Dcalcd. (g cm–3)1.291.381.76
μ(MoKα) (mm–1)0.80.81.5
F(000), e9801044804
T (K)293(2)298(2)293(2)
θ range (deg)2.65–26.002.82–26.372.77–26.34
hkl range–16→20, –18→13, –11→12–22→23, ±18, ±11–10→6, –11→19, ±14
Max/min transmission1.000/0.5711.000/0.4200.867/0.748
Reflections measured484612 4556379
Unique reflections/Rint2340/0.0382481/0.0323132/0.030
Param. refined122174181
R1/wR2 [I > 2σ(I)]a0.0526/0.11830.0404/0.09790.0395/0.0694
R1/wR2 (all data)b0.0826/0.14070.0582/0.10540.0745/0.0786
Goodness-of-fit (GoF)c1.0441.0411.011
Δρfin (max/min) (e Å–3)0.34/–0.360.27/–0.220.33/–0.42

aR1 = Σ||Fo| – |Fc||/Σ|Fo|.

bwR2 = [Σw(Fo2Fc2)2w(Fo2)2]1/2, w = [σ2(Fo2) + (AP)2 + BP]–1, where P = (Max(Fo2, 0) + 2Fc2)/3.

cGoF = S = [Σw(Fo2Fc2)2/(nobsnparam)]1/2.

Table 2:

Selected bond lengths (Å) and angles (deg) for complexes 1–3.

123
Cr(1)–N(1A)2.013(3)Cr(1)–N(1A)2.014(19)Cr(1)–N(5)1.997(2)
Cr(1)–N(1)2.013(3)Cr(1)–N(1)2.014(19)Cr(1)–N(3)2.053(2)
Cr(1)–O(1A)2.024(3)Cr(1)–O(1A)2.021(18)Cr(1)–N(1)2.057(2)
Cr(1)–O(1)2.024(3)Cr(1)–O(1)2.021(18)Cr(1)–Cl(2)2.284(9)
Cr(1)–Cl(1)2.269(10)Cr(1)–Cl(1)2.265(7)Cr(1)–Cl(3)2.300(10)
Cr(1)–Cl(1A)2.269(10)Cr(1)–Cl(1A)2.265(7)Cr(1)–Cl(1)2.315(9)
N(1A)–Cr(1)–N(1)39.10(14)N(1A)–Cr(1)–N(1)39.09(10)N(5)–Cr(1)–N(3)77.19(10)
O(1A)–Cr(1)–O(1)178.43(13)O(1A)–Cr(1)–O(1)178.90(10)N(5)–Cr(1)–N(1)77.35(10)
Cl(1)–Cr(1)–Cl(1A)102.80(6)Cl(1)–Cr(1)–Cl(1A)104.10 (5)N(3)–Cr(1)–N(1)154.50(9)
N(1A)–Cr(1)–O(1A)88.75(10)N(1A)–Cr(1)–O(1A)89.29(8)Cl(2)–Cr(1)–Cl(1)92.86(3)
N(1A)–Cr(1)–Cl(2A)109.01(8)N(1A)–Cr(1)–Cl(2A)108.40(6)Cl(3)–Cr(1)–Cl(1)174.4(4)
O(1A)–Cr(1)–Cl(2A)90.43(8)O(1A)–Cr(1)–Cl(2A)89.77(6)Cl(2)–Cr(1)–Cl(3)92.72 (4)

Complex 3 was found to have slightly distorted octahedral geometry, with three basal imine N donors from the tridentate ligand and three chloro ligands in meridional geometry, as shown in Fig. 3. Important crystallographic data for complex 3 are provided in Table 1, and selected bond lengths and bond angles are given in Table 2. The Cr–N{pyridine} bond was found to be shorter (at 1.997(2) Å) than the Cr–N{dp} bonds, which were 2.053(2) Å long, as shown in Table 2. Similar bond lengths have been found in [Cr(pybox)(THF)2] (pybox = 2,6-bis{(4S)-(–)-isopropyl-2-oxazolin-2-yl}pyridine), in which the Cr–N{pyridine} bond length was 2.017(6) Å and the Cr–N{oxazolino} bond length was 2.078(6) Å [40], and in the bis(imino)pyridyl Cr(III) complexes, in which the Cr–N{pyridine} bond length was 1.981(3) Å and the Cr–N{imino} bond length was 2.142(3) Å [41]. As expected, the most obvious structural change, compared with the structure of the free ligand in the solid state, occurred when 3 was formed, was that the terminal dp-yl rings moved from trans, trans to cis, cis geometry [29]. The structure of 3 was found to be somewhat comparable to the structure of [Cu(bdppz)(NCCH3)]2+·2ClO4 [29].

Fig. 3: Molecular structure of 3 in the crystal. Displacement ellipsoids are drawn at the 30% probability level; hydrogen atoms are omitted for clarity.
Fig. 3:

Molecular structure of 3 in the crystal. Displacement ellipsoids are drawn at the 30% probability level; hydrogen atoms are omitted for clarity.

2.3 EPR analysis of complex 1

Crystals of complex 1 were subjected to EPR measurements, which were performed on a Bruker ESP-A300-10/12 spectrometer. The X-band and a high-sensitivity resonator were used. The microwave frequency was 9.5 GHz, the microwave power was 22.6 mW, the modulation amplitude was 18 G, the modulation frequency was 100 kHz, the receiver gain was 1.00 × 103, the time constant was 164 ms, and the conversion time was 80 ms. The X-band EPR spectra of polycrystalline 1 at room temperature (298 K) (Fig. 4) and at 77 K (in liquid nitrogen) (Fig. 5), and the g-strain values are shown in Figs. 6 and 7. The quartet 4F (S = 3/2) is the fundamental term for the free Cr(III) ion (i.e. a d3 ion with spherical symmetry). In an octahedral environment, this term splits into two orbital triplets, 4T2 and 4T1, and an orbital singlet, 4A2, which becomes the fundamental term. Thus, for an octahedral d3 complex having Kramer’s doublet lowest in energy, three transitions can sometimes be detected with small zero field splitting [42]. However, only one transition line will be found if the zero field parameter is large relative to the frequency of the spectrometer. We could not obtain an EPR spectrum of 1 dissolved in THF even at a low temperature (77 K). Fortunately, polycrystalline 1 gave EPR spectra that were consistent with the presence of high-spin octahedral metal ions [43]. The X-band spectrum of 1 at 298 K (see Fig. 4) contained three broad signals corresponding to three transitions, and it at 77 K (see Fig. 5) contained two broad signals corresponding to two transitions. Similar spectra were previously found for high-spin octahedral tris(2-trimethylamidopyridinato)chromium [39]. The effective spin therefore became Ŝ = 1/2, with the spin Hamiltonian shown in the equation

H=μB(gxlxS^x+gylyS^y+gzlzS^z)

Fig. 4: X-band EPR spectrum of compound 1 in the crystalline state at 298 K.
Fig. 4:

X-band EPR spectrum of compound 1 in the crystalline state at 298 K.

Fig. 5: X-band EPR spectrum of compound 1 in the crystalline state at 77 K.
Fig. 5:

X-band EPR spectrum of compound 1 in the crystalline state at 77 K.

Fig. 6: EPR spectrum of compound 1 in the crystalline state at 298 K.
Fig. 6:

EPR spectrum of compound 1 in the crystalline state at 298 K.

Fig. 7: EPR spectrum of compound 1 in the crystalline state at 77 K.
Fig. 7:

EPR spectrum of compound 1 in the crystalline state at 77 K.

In this equation, gx=4.3017,gy=3.2915, and gz=2.3540 at 298 K (see Fig. 6) and gx=4.1598 and gy=3.0125 at 77 K (see Fig. 7). These gi values are comparable with those previously found for a six-coordinated octahedral tetraorganochromate(III) (gx=4.02,gy=3.55, and gz=1.95) [44].

Magnetic susceptibility measurements were made on a polycrystalline sample of 1 using a Quantum Design SQUID MPMSXL-7 magnetometer. The magnetic properties of complex 1 were determined from the magnetic susceptibility χ(T) measurements made at different temperatures (shown in Fig. 8). The experimental susceptibility data followed the Curie–Weiss law over the temperature range 25–300 K (shown in Fig. 9). This would be expected for magnetically isolated ions. The equation for the Curie–Weiss law is χ(T)=χ0+C/(Tθ), where C is the Curie constant (1.889 cm3 mol–1 K), θ is the Curie paramagnetic temperature (–9.77 K), and χ0 is the temperature-independent contribution (5.1 × 10−4 cm3 mol–1) to χ(T). The molecular susceptibility increased weakly as the temperature decreased from 300 to 25 K; at that temperature the Cr spins became decoupled because of thermal randomization. A broad maximum corresponding to antiferromagnetic interactions was found at approximately 25 K, and the susceptibility increased rapidly below 20 K, indicating the presence of a non-diamagnetic ground state. The χ(T) value was slightly temperature dependent below 300 K, confirming that the system followed the Curie–Weiss law. The χ(T) values gradually decreased at temperatures below 25 K, and this should mainly be caused by crystal field effects and the presence of some paramagnetic impurities. The magnetic moment of 1 was found to be slightly temperature dependent, μeff being 3.80 μB at 250 K and 3.86 μB at 300 K, as is shown in Fig. 9. These magnetic moments were similar to the spin-only magnetic moment that would be expected for three unpaired electrons (3.87 μB) [35, 36, 41].

Fig. 8: Experimental χm and χmT (χm is the magnetic susceptibility of a mononuclear unit) values plotted against T for complex 1.
Fig. 8:

Experimental χm and χmT (χm is the magnetic susceptibility of a mononuclear unit) values plotted against T for complex 1.

Fig. 9: Experimental 1/χm and μeff values plotted against T for complex 1.
Fig. 9:

Experimental 1/χm and μeff values plotted against T for complex 1.

3 Experimental section

All manipulations were performed under anaerobic conditions in a nitrogen atmosphere using standard Schlenk, vacuum line, and glove box techniques. The solvents were thoroughly dried, deoxygenated, and distilled in a nitrogen atmosphere before use. CrCl3(THF)3 was purchased from Sigma-Aldrich (St Louis, MO, USA) and was used as supplied. The starting materials K[3,5-tBu2dp] [20], K[3,5-ph2dp]·0.67THF [20], and 2,6-bis(1,2,4-diazaphosphol-1-yl)pyridine [29] were prepared following previously published methods. IR measurements were performed using a Nicolet 360 FT-IR spectrometer (Thermo Fisher Scientific, Waltham, MA, USA), using a Nujol mull of each sample, prepared in a dry box. The melting point of each sample sealed in an argon-filled capillary was measured without temperature correction using an XT4-100A instrument (Electronic and Optical Instruments, Beijing, China). Elemental analyses were performed using a Vario MACRO cube (Elementar, Hanau, Germany). Magnetic susceptibility measurements were performed on polycrystalline samples using a SQUID MPMSXL-7 magnetometer (Quantum Design, San Diego, CA, USA). EPR spectroscopy was performed using an A300 instrument (Bruker, Billerica, MA, USA).

3.1 Preparation of [(η2-3,5-tBu2dp)Cr(THF)2Cl2] (1)

A mixture of CrCl3(THF)3 (0.375 g, 1.0 mmol) and K[3,5-tBu2dp] (0.236 g, 1.0 mmol) was prepared at 0°C, and then toluene (30 mL) was added using a syringe. The mixture was stirred for 24 h, and then filtered through Celite (Imerys Filtration Minerals, San Jose, CA, USA). The filtrate was concentrated to about 10 mL, and cooling of the solution to –30°C gave 1 as blue-purple crystals. Yield 75% based on ligand. M.p. 179°C. – IR (KBr pellet, Nujol mull): ν = 2923, 2853, 1460, 1377, 1261, 1095, 1019, 799 cm–1. – C18H34Cl2CrN2O2P (464.3): calcd. C 46.52, H 7.32, N 6.03; found C 46.57, H 7.29, N 6.05%.

3.2 Preparation of [(η2-3,5-ph2dp)Cr(THF)2Cl2] (2)

A mixture of CrCl3(THF)3 (0.375 g, 1.0 mmol) and K[3,5-ph2dp]·0.67THF (0.330 g, 1.0 mmol) was prepared at 0°C, and then toluene (30 mL) was added using a syringe. The mixture was stirred for 48 h, and then filtered through Celite. The filtrate was concentrated to about 10 mL, and cooling of the solution to –30°C gave 2 as blue-green crystals. Yield 45% based on the ligand. M.p. 230°C. – IR (KBr pellet, Nujol mull): ν = 2923, 2853, 1454, 1406, 1376, 1261, 1093, 1015, 799, 693 cm–1. – C22H26Cl2CrN2O2P (504.3): calcd. C 52.34, H 5.16, N 5.55; found C 52.36, H 5.18, N 5.53%.

3.3 Preparation of {[2,6-bis(1,2,4-diazaphosphol-1-yl)pyridine]CrCl3} (3)

A mixture of CrCl3(THF)3 (0.375 g, 1.0 mmol) and [2,6-bis(N-1,2,4-diazaphospholyl-1-yl)pyridine] (0.247 g, 1.0 mmol) was prepared, and then dry ethanol (50 mL) was added using a syringe. The mixture was stirred for 24 h, and then filtered through Celite. The filtrate was concentrated to about 15 mL, and cooling the solution to –30°C gave 3 as dark green crystals. Yield 70% based on ligand. M.p. 269°C. – IR (KBr pellet, Nujol mull): ν = 2959, 2923, 2853, 1609, 1577, 1461, 1376, 1260, 1087, 1021, 798, 731 cm–1. – C9H7Cl3CrN5P2 (405.5): calcd. C 26.63, H 1.39, N 17.26; found C 26.66, H 1.38, N 17.23%.

3.4 X-ray structure determinations

Suitable single crystals of complexes 1–3 were sealed under argon in thin-walled glass capillaries. X-ray diffraction data were collected on an Xcalibur CCD diffractometer (graphite-monochromatized MoKα radiation, λ = 0.71073 Å, φω scan technique). The intensity data were integrated by means of the program Saint [45]. Sadabs [46] was used to perform area-detector scaling and absorption corrections. The structures were solved by Direct Methods and were refined against F2 using all unique reflections with the aid of the Shelxtl package [4750]. All non-hydrogen atoms in 1–3 were refined anisotropically. The H atoms were included in calculated positions with isotropic displacement parameters related to those of the supporting carbon atoms, but were not included in the refinement.

CCDC 1437817, 1437818, and 1437819 contain the supplementary crystallographic data for this paper. These data can be obtained free of charge from The Cambridge Crystallographic Data Centre via www.ccdc.cam.ac.uk/data_request/cif.

4 Conclusions

We present the preparation and structural characterization of three Cr(III) complexes bearing dp-yl ring ligands. The EPR and magnetic studies of 1 and crystal structure analyses of compounds 1, 2, and 3 suggest that these compounds might offer advantages as magnetic materials [3537].

5 Supplementary information

Summaries of the crystal structure data including atomic coordinates and additional structure parameters can be found in the online version (http://dx.doi.org/10.1515/znb-2015-0216).

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Supplemental Material:

The online version of this article (DOI: 10.1515/znb-2015-0216) offers supplementary material, available to authorized users.


Received: 2015-12-20
Accepted: 2016-2-5
Published Online: 2016-5-5
Published in Print: 2016-7-1

©2016 by De Gruyter

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