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organic compounds Acta Crystallographica Section E Structure Reports Online ISSN 1600-5368 Redetermination of cyclo-trimethylenetrinitramine Patrick Hakey, Wayne Ouellette,* Jon Zubieta and Timothy Korter Department of Chemistry, Syracuse University, New York 13244, USA Correspondence e-mail: wouellet@syr.edu Received 20 June 2008; accepted 27 June 2008 Key indicators: single-crystal X-ray study; T = 90 K; mean (N C) = 0.002 Å; R factor = 0.032; wr factor = 0.082; data-to-parameter ratio = 12.3. Experimental Crystal data C 3 H 6 N 6 O 6 M r = 222.14 Orthorhombic, Pbca a = 11.4195 (8) Å b = 10.5861 (7) Å c = 13.1401 (9) Å Data collection Bruker APEX CCD area-detector diffractometer Absorption correction: multi-scan (SADABS; Bruker, 2002) T min = 0.943, T max = 0.966 Refinement R[F 2 >2(F 2 )] = 0.032 wr(f 2 ) = 0.082 S = 1.05 1973 reflections V = 1588.48 (19) Å 3 Z =8 Mo K radiation = 0.18 mm 1 T = 90 (2) K 0.34 0.20 0.20 mm 15555 measured reflections 1973 independent reflections 1783 reflections with I > 2(I) R int = 0.028 160 parameters All H-atom parameters refined max = 0.34 e Å 3 min = 0.20 e Å 3 The redetermined structure of 1,3,5-trinitro-1,3,5-triazacyclohexane, C 3 H 6 N 6 O 6, at 90 (2) K has orthorhombic (Pbca) symmetry. It is of interest with respect to energetic compounds. The structure was originally investigated through X-ray diffraction by Hultgren [(1936). J. Chem. Phys. 4, 84]. Later X-ray investigations were completed by McCrone [(1950). Anal. Chem. 22, 954 955] and Harris, Reed & Gluyas [(1959). AFOSR-TR-59-165 Ohio State University Research Foundation, Columbus, Ohio, USA]. A single-crystal neutron diffraction study was performed by Choi & Prince [(1972). Acta Cryst. B28, 2857 2862] to ascertain the H-atom positions, which had not been defined by the earlier X-ray diffraction studies. All previous studies were performed at or near room temperature. The structure provided is the polymorph of the title compound. The ring atoms are arranged in the chair conformation with two nitro groups occupying pseudoequatorial positions and the remaining nitro group is axial. The crystal packing is stabilized by close intramolecular interactions from one H atom in each methylene group to O atoms of adjacent nitro groups, ranging from 2.251 to 2.593 Å. Related literature For related literature, see: Akhavan (2004); Bachmann & Sheehan (1949); Brockman et al. (1949); Choi & Prince (1972); Ciezak et al. (2007); Davidson et al. (2008); Harris et al. (1959); Henning (1899); von Herz et al. (1920); Hultgren (1936); McCrone (1950); Yi & Cai (2008). Data collection: SMART (Bruker, 2002); cell refinement: SAINT (Bruker, 2002); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: CrystalMaker (Palmer, 2006); software used to prepare material for publication: SHELXTL (Sheldrick, 2008). The authors gratefully acknowledge the support of the National Science Foundation (CHE-0604527). PH expresses his gratitude to the Syracuse University and STEM fellowship programs. Supplementary data and figures for this paper are available from the IUCr electronic archives (Reference: LH2649). References Akhavan, J. (2004). The Chemistry of Explosives, 2nd ed. London: The Royal Society of Chemistry. Bachmann, W. E. & Sheehan, J. C. (1949). J. Am. Chem. Soc. 71, 1842 1845. Brockman, F. J., Downing, D. C. & Wright, G. F. (1949). Can. J. Res. 5, 469 474. Bruker (2002). SMART, SAINT and SADABS. Bruker AXS Inc., Madison, Wisconsin, USA. Choi, C. S. & Prince, E. (1972). Acta Cryst. B28, 2857 2862. Ciezak, J. A., Jenkins, T. A. & Liu, Z. (2007). J. Phys. Chem. A, 111, 59 63. Davidson, A. J., Oswald, I. D. H., Francis, D. J., Lennie, A. R., Marshall, W. G., Millar, D. I. A., Pulham, C. R., Warren, J. E. & Cumming, A. S. (2008). CrystEngComm, 10, 162 165. Harris, P. M., Reed, P. T. & Gluyas, R. E. (1959). AFOSR-TR-59-165. Ohio State University Research Foundation, Columbus, Ohio. Henning, (1899). German Patent No. 104 280. Herz, E. von (1920). Swiss Patent No. 88 759. Hultgren, R. (1936). J. Chem. Phys. 4, 84???. McCrone, W. C. (1950). Anal. Chem. 22, 954 955. Palmer, D. (2006). CrystalMaker. CrystalMaker Software Ltd, Yarnton, Oxfordshire, England. Sheldrick, G. M. (2008). Acta Cryst. A64, 112 122. Yi, W.-B. & Cai, C. (2008). J. Hazard. Mater. 150, 839 842. o1428 Hakey et al. doi:10.1107/s1600536808019727

supporting information [doi:10.1107/s1600536808019727] Redetermination of cyclo-trimethylenetrinitramine Patrick Hakey, Wayne Ouellette, Jon Zubieta and Timothy Korter S1. Comment This single-crystal X-ray diffraction study of the explosive material 1,3,5-trinitro-1,3,5-triazacyclohexane presents a complete determination of the lattice dimensions and atomic coordinates at cryogenic temperatures. Specifically, the sample is maintained at 90 (2) K during the investigation. The compound is a highly explosive material and is known by many names, including cyclonite and RDX, among others (Bachmann & Sheehan, 1949). The formal name of the compound is hexahydro-1,3,5-trinitro-1,3,5-triazine. The structure provided in this study is the α polymorph of the title compound. Multiple polymorphs are possible for this compound; however, α is the form of the compound available at ambient conditions, while the β polymorph is quite unstable and its crystal structure is not known (McCrone, 1950). A third polymorph, γ is accessible at high pressures; its crystal structure has been ascertained through the collective use of both single-crystal X-ray and neutron powder diffraction studies (Davidson et al., 2008). Indications that a fourth polymorph, δ, exists have been reported, but no structure is available (Ciezak et al., 2007). Several prior examinations of the crystal structure of the α polymorph of RDX have been performed using single-crystal X-ray diffraction (Hultgren, 1936; McCrone, 1950; Harris et al., 1959). A slightly more recent study of RDX was performed using single-crystal neutron-diffraction (Choi & Prince, 1972). All prior studies on the title compound have been performed at or near room temperature, prompting the reexamination of this compound at low temperature to improve crystallographic precision. Through the determination of the crystallographic data at cryogenic temperature, insight into temperature induced lattice changes is gained, and precision of the atomic coordinates is increased. Improved precision is particularly useful for validation of first-principles solid-state modeling, while also helping to provide a more complete understanding of the molecular solid. Detailed knowledge of the solid-state crystal structure of this compound is imperative for its identification and detection via various spectroscopic methods, such as solid-state NMR, or terahertz. In addition, this study is intended to supplement the prior X-ray diffraction studies by supplying the atomic coordinates for all atoms in the structure, including the H atoms. Of the prior studies, only the neutron diffraction study provided the complete set of atomic coordinates. RDX is a well known military explosive that has been in service for more than a half century. RDX is categorized as a secondary explosive; indicative of its stability relative to other explosive materials (Akhavan, 2004). The compound was first synthesized, and patented, by Henning (1899), and was originally developed for medicinal uses; consequently its capabilities as an explosive were not recognized until two decades later by von Herz et al. (1920). Since the original work, several additional methods have been reported for synthesis of the compound, including that by Bachmann & Sheehan (1949), Brockman et al. (1949), and most recently by Yi & Cai (2008). These newer methods are generally deemed to provide increased efficiency over the original syntheses. In agreement with earlier studies, the structure was determined to retain the orthorhombic space group Pbca with z value 8; these parameters are in accordance with the prior work (Choi & Prince, 1972). The unit-cell dimensions determined in this study are as follows: a = 11.4195 (8), b = 10.5861 (7), and c = 13.1401 (9). These lattice values yield sup-1

an overall cell volume of 1588.48 Å3. The cell volume calculated here is approximately 2.8% less than the most recently determined value for the title compound (Choi & Prince, 1972). The deviation in cell volume is likely attributable to contraction of the unit cell caused by the large temperature differential between the current cryogenic study and the earlier study, which was conducted at room temperature. S2. Experimental The material used in this work was purchased from AccuStandard, Inc. (99.4% purity by HPLC). The title compound, 1,3,5-trinitro-1,3,5-triazacyclohexane, was provided dissolved in a 1:1 solution of methanol and acetonitrile. Slow, room temperature evaporation of the solution was employed to permit the growth of the required crystals. S3. Refinement H atoms were located in a difference map and refined freely. Figure 1 Perspective view of (I), with the atom numbering scheme and thermal ellipsoids drawn at 50% probability level. H atoms have been omitted for clarity. sup-2

1,3,5-trinitro-1,3,5-triazacyclohexane Crystal data C 3 H 6 N 6 O 6 M r = 222.14 Orthorhombic, Pbca Hall symbol: -P2ac2ab a = 11.4195 (8) Å b = 10.5861 (7) Å c = 13.1401 (9) Å V = 1588.48 (19) Å 3 Z = 8 Data collection Bruker APEX CCD area-detector diffractometer Radiation source: fine-focus sealed tube Graphite monochromator Detector resolution: 512 pixels mm -1 φ and ω scans Absorption correction: multi-scan (SADABS; Bruker, 2002) T min = 0.943, T max = 0.966 Refinement Refinement on F 2 Least-squares matrix: full R[F 2 > 2σ(F 2 )] = 0.032 wr(f 2 ) = 0.082 S = 1.06 1973 reflections 160 parameters 0 restraints Primary atom site location: structure-invariant direct methods F(000) = 912 D x = 1.858 Mg m 3 Mo Kα radiation, λ = 0.71073 Å Cell parameters from 4268 reflections θ = 3.1 28.2 µ = 0.18 mm 1 T = 90 K Block, colorless 0.34 0.20 0.20 mm 15555 measured reflections 1973 independent reflections 1783 reflections with I > 2σ(I) R int = 0.028 θ max = 28.3, θ min = 3.1 h = 15 15 k = 14 14 l = 17 17 Secondary atom site location: difference Fourier map Hydrogen site location: inferred from neighbouring sites All H-atom parameters refined w = 1/[σ 2 (F o2 ) + (0.0397P) 2 + 0.7623P] where P = (F o 2 + 2F c2 )/3 (Δ/σ) max = 0.001 Δρ max = 0.34 e Å 3 Δρ min = 0.20 e Å 3 Special details 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. Refinement. Refinement of F 2 against ALL reflections. The weighted R-factor wr and goodness of fit S are based on F 2, conventional R-factors R are based on F, with F set to zero for negative F 2. The threshold expression of F 2 > σ(f 2 ) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F 2 are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger. Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å 2 ) x y z U iso */U eq O1 0.96483 (8) 0.36616 (9) 1.02694 (7) 0.0224 (2) O2 0.85097 (8) 0.24565 (9) 1.11679 (6) 0.0206 (2) O3 0.81846 (8) 0.03257 (8) 1.07225 (7) 0.0208 (2) O4 0.93294 (8) 0.10398 (8) 0.95344 (7) 0.0213 (2) sup-3

O5 1.06779 (7) 0.06532 (8) 0.73282 (6) 0.01755 (19) O6 1.09321 (8) 0.26371 (8) 0.77072 (7) 0.0205 (2) N1 0.81806 (8) 0.26489 (9) 0.94911 (7) 0.0121 (2) N2 0.79657 (8) 0.04040 (9) 0.91362 (7) 0.0127 (2) N3 0.93467 (8) 0.16430 (9) 0.82559 (7) 0.0134 (2) N4 0.88448 (9) 0.29180 (9) 1.03687 (7) 0.0144 (2) N5 0.85527 (9) 0.03513 (9) 0.98530 (8) 0.0151 (2) N6 1.03699 (9) 0.16474 (10) 0.77253 (7) 0.0138 (2) C1 0.74033 (10) 0.15500 (11) 0.95281 (8) 0.0126 (2) C2 0.87808 (10) 0.28363 (10) 0.85261 (9) 0.0135 (2) C3 0.85587 (10) 0.05633 (11) 0.81621 (9) 0.0140 (2) H1A 0.6771 (13) 0.1709 (13) 0.9097 (11) 0.012 (3)* H1B 0.7145 (13) 0.1409 (13) 1.0185 (11) 0.012 (3)* H2A 0.8192 (12) 0.3030 (13) 0.8023 (11) 0.010 (3)* H2B 0.9329 (13) 0.3488 (14) 0.8585 (11) 0.016 (4)* H3A 0.7972 (13) 0.0760 (14) 0.7669 (12) 0.020 (4)* H3B 0.8988 (13) 0.0155 (14) 0.8005 (11) 0.014 (3)* Atomic displacement parameters (Å 2 ) U 11 U 22 U 33 U 12 U 13 U 23 O1 0.0196 (4) 0.0205 (5) 0.0271 (5) 0.0051 (4) 0.0064 (4) 0.0029 (4) O2 0.0257 (5) 0.0252 (5) 0.0110 (4) 0.0027 (4) 0.0017 (3) 0.0004 (3) O3 0.0261 (5) 0.0210 (4) 0.0152 (4) 0.0046 (4) 0.0036 (4) 0.0046 (3) O4 0.0172 (4) 0.0146 (4) 0.0320 (5) 0.0030 (3) 0.0054 (4) 0.0011 (4) O5 0.0170 (4) 0.0202 (4) 0.0154 (4) 0.0052 (3) 0.0031 (3) 0.0015 (3) O6 0.0166 (4) 0.0196 (4) 0.0255 (5) 0.0036 (3) 0.0044 (4) 0.0044 (3) N1 0.0128 (4) 0.0137 (4) 0.0099 (4) 0.0002 (4) 0.0010 (3) 0.0014 (3) N2 0.0120 (4) 0.0129 (4) 0.0133 (5) 0.0004 (3) 0.0002 (3) 0.0017 (3) N3 0.0128 (5) 0.0122 (4) 0.0152 (4) 0.0001 (3) 0.0041 (4) 0.0003 (4) N4 0.0148 (5) 0.0140 (5) 0.0143 (5) 0.0040 (4) 0.0031 (4) 0.0030 (4) N5 0.0140 (5) 0.0116 (4) 0.0197 (5) 0.0033 (4) 0.0050 (4) 0.0019 (4) N6 0.0125 (4) 0.0181 (5) 0.0109 (4) 0.0011 (4) 0.0003 (3) 0.0033 (4) C1 0.0101 (5) 0.0152 (5) 0.0126 (5) 0.0005 (4) 0.0010 (4) 0.0002 (4) C2 0.0158 (5) 0.0114 (5) 0.0132 (5) 0.0018 (4) 0.0022 (4) 0.0008 (4) C3 0.0151 (5) 0.0131 (5) 0.0139 (5) 0.0010 (4) 0.0021 (4) 0.0019 (4) Geometric parameters (Å, º) O1 N4 1.2159 (13) N2 C1 1.4660 (14) O2 N4 1.2199 (13) N3 N6 1.3606 (13) O3 N5 1.2177 (14) N3 C3 1.4600 (14) O4 N5 1.2219 (14) N3 C2 1.4626 (14) O5 N6 1.2263 (13) C1 H1A 0.934 (15) O6 N6 1.2290 (13) C1 H1B 0.925 (14) N1 N4 1.4093 (13) C2 H2A 0.964 (15) N1 C2 1.4551 (14) C2 H2B 0.934 (15) N1 C1 1.4641 (14) C3 H3A 0.956 (16) sup-4

N2 N5 1.4056 (13) C3 H3B 0.928 (15) N2 C3 1.4579 (14) N4 N1 C2 115.59 (9) N1 C1 N2 112.35 (9) N4 N1 C1 117.37 (9) N1 C1 H1A 107.8 (9) C2 N1 C1 115.01 (9) N2 C1 H1A 105.9 (9) N5 N2 C3 115.63 (9) N1 C1 H1B 110.7 (9) N5 N2 C1 116.38 (9) N2 C1 H1B 109.5 (9) C3 N2 C1 114.59 (9) H1A C1 H1B 110.4 (13) N6 N3 C3 119.26 (9) N1 C2 N3 107.57 (9) N6 N3 C2 120.05 (9) N1 C2 H2A 107.3 (8) C3 N3 C2 115.10 (9) N3 C2 H2A 109.0 (8) O1 N4 O2 126.04 (10) N1 C2 H2B 110.1 (9) O1 N4 N1 116.69 (10) N3 C2 H2B 111.2 (9) O2 N4 N1 117.04 (10) H2A C2 H2B 111.5 (12) O3 N5 O4 125.82 (10) N2 C3 N3 107.62 (9) O3 N5 N2 116.84 (10) N2 C3 H3A 107.2 (9) O4 N5 N2 117.12 (10) N3 C3 H3A 108.6 (9) O5 N6 O6 125.00 (10) N2 C3 H3B 110.2 (9) O5 N6 N3 117.48 (10) N3 C3 H3B 109.5 (9) O6 N6 N3 117.48 (10) H3A C3 H3B 113.5 (13) C2 N1 N4 O1 24.84 (13) N4 N1 C1 N2 93.07 (11) C1 N1 N4 O1 165.72 (10) C2 N1 C1 N2 48.04 (12) C2 N1 N4 O2 160.30 (10) N5 N2 C1 N1 91.11 (11) C1 N1 N4 O2 19.42 (14) C3 N2 C1 N1 48.17 (12) C3 N2 N5 O3 167.78 (10) N4 N1 C2 N3 90.33 (11) C1 N2 N5 O3 28.92 (13) C1 N1 C2 N3 51.49 (12) C3 N2 N5 O4 17.30 (14) N6 N3 C2 N1 148.08 (10) C1 N2 N5 O4 156.16 (10) C3 N3 C2 N1 58.46 (12) C3 N3 N6 O5 12.18 (14) N5 N2 C3 N3 87.58 (11) C2 N3 N6 O5 164.56 (10) C1 N2 C3 N3 52.01 (12) C3 N3 N6 O6 170.00 (10) N6 N3 C3 N2 147.49 (9) C2 N3 N6 O6 17.63 (15) C2 N3 C3 N2 58.82 (12) sup-5