organic compounds\(\def\hfill{\hskip 5em}\def\hfil{\hskip 3em}\def\eqno#1{\hfil {#1}}\)

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ISSN: 2056-9890

Redetermination of cyclo-tri­methyl­ene­trinitramine

aDepartment of Chemistry, Syracuse University, New York 13244, USA
*Correspondence e-mail: wouellet@syr.edu

(Received 20 June 2008; accepted 27 June 2008; online 9 July 2008)

The redetermined structure of 1,3,5-trinitro-1,3,5-triaza­cyclo­hexane, C3H6N6O6, 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 α polymorph of the title compound. The ring atoms are arranged in the chair conformation with two nitro groups occupying pseudo-equatorial 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[Akhavan, J. (2004). The Chemistry of Explosives, 2nd ed. London: The Royal Society of Chemistry.]); Bachmann & Sheehan (1949[Bachmann, W. E. & Sheehan, J. C. (1949). J. Am. Chem. Soc. 71, 1842-1845.]); Brockman et al. (1949[Brockman, F. J., Downing, D. C. & Wright, G. F. (1949). Can. J. Res. 5, 469-474.]); Choi & Prince (1972[Choi, C. S. & Prince, E. (1972). Acta Cryst. B28, 2857-2862.]); Ciezak et al. (2007[Ciezak, J. A., Jenkins, T. A. & Liu, Z. (2007). J. Phys. Chem. A, 111, 59-63.]); Davidson et al. (2008[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 et al. (1959[Harris, P. M., Reed, P. T. & Gluyas, R. E. (1959). AFOSR-TR-59-165. Ohio State University Research Foundation, Columbus, Ohio.]); Henning (1899[Henning, (1899). German Patent No. 104 280.]); von Herz et al. (1920[Herz, E. von (1920). Swiss Patent No. 88 759.]); Hultgren (1936[Hultgren, R. (1936). J. Chem. Phys. 4, 84-???.]); McCrone (1950[McCrone, W. C. (1950). Anal. Chem. 22, 954-955.]); Yi & Cai (2008[Yi, W.-B. & Cai, C. (2008). J. Hazard. Mater. 150, 839-842.]).

[Scheme 1]

Experimental

Crystal data
  • C3H6N6O6

  • Mr = 222.14

  • Orthorhombic, P b c a

  • a = 11.4195 (8) Å

  • b = 10.5861 (7) Å

  • c = 13.1401 (9) Å

  • V = 1588.48 (19) Å3

  • Z = 8

  • Mo Kα radiation

  • μ = 0.18 mm−1

  • T = 90 (2) K

  • 0.34 × 0.20 × 0.20 mm

Data collection
  • Bruker APEX CCD area-detector diffractometer

  • Absorption correction: multi-scan (SADABS; Bruker, 2002[Bruker (2002). SMART, SAINT and SADABS. Bruker AXS Inc., Madison, Wisconsin, USA.])Tmin = 0.943, Tmax = 0.966

  • 15555 measured reflections

  • 1973 independent reflections

  • 1783 reflections with I > 2σ(I)

  • Rint = 0.028

Refinement
  • R[F2 > 2σ(F2)] = 0.032

  • wR(F2) = 0.082

  • S = 1.05

  • 1973 reflections

  • 160 parameters

  • All H-atom parameters refined

  • Δρmax = 0.34 e Å−3

  • Δρmin = −0.20 e Å−3

Data collection: SMART (Bruker, 2002[Bruker (2002). SMART, SAINT and SADABS. Bruker AXS Inc., Madison, Wisconsin, USA.]); cell refinement: SAINT (Bruker, 2002[Bruker (2002). SMART, SAINT and SADABS. Bruker AXS Inc., Madison, Wisconsin, USA.]); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 2008[Sheldrick, G. M. (2008). Acta Cryst. A64, 112-122.]); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008[Sheldrick, G. M. (2008). Acta Cryst. A64, 112-122.]); molecular graphics: CrystalMaker (Palmer, 2006[Palmer, D. (2006). CrystalMaker. CrystalMaker Software Ltd, Yarnton, Oxfordshire, England.]); software used to prepare material for publication: SHELXTL (Sheldrick, 2008[Sheldrick, G. M. (2008). Acta Cryst. A64, 112-122.]).

Supporting information


Comment top

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 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.

Related literature top

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).

Experimental top

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.

Refinement top

H atoms were located in a difference map and refined freely.

Computing details top

Data collection: SMART (Bruker, 2002); cell refinement: SAINT (Bruker, 2002); data reduction: SAINT (Bruker, 2002); 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).

Figures top
[Figure 1] Fig. 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.
1,3,5-trinitro-1,3,5-triazacyclohexane top
Crystal data top
C3H6N6O6F(000) = 912
Mr = 222.14Dx = 1.858 Mg m3
Orthorhombic, PbcaMo Kα radiation, λ = 0.71073 Å
Hall symbol: -P2ac2abCell parameters from 4268 reflections
a = 11.4195 (8) Åθ = 3.1–28.2°
b = 10.5861 (7) ŵ = 0.18 mm1
c = 13.1401 (9) ÅT = 90 K
V = 1588.48 (19) Å3Block, colorless
Z = 80.34 × 0.20 × 0.20 mm
Data collection top
Bruker APEX CCD area-detector
diffractometer
1973 independent reflections
Radiation source: fine-focus sealed tube1783 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.028
Detector resolution: 512 pixels mm-1θmax = 28.3°, θmin = 3.1°
ϕ and ω scansh = 1515
Absorption correction: multi-scan
(SADABS; Bruker, 2002)
k = 1414
Tmin = 0.943, Tmax = 0.966l = 1717
15555 measured reflections
Refinement top
Refinement on F2Primary atom site location: structure-invariant direct methods
Least-squares matrix: fullSecondary atom site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.032Hydrogen site location: inferred from neighbouring sites
wR(F2) = 0.082All H-atom parameters refined
S = 1.06 w = 1/[σ2(Fo2) + (0.0397P)2 + 0.7623P]
where P = (Fo2 + 2Fc2)/3
1973 reflections(Δ/σ)max = 0.001
160 parametersΔρmax = 0.34 e Å3
0 restraintsΔρmin = 0.20 e Å3
Crystal data top
C3H6N6O6V = 1588.48 (19) Å3
Mr = 222.14Z = 8
Orthorhombic, PbcaMo Kα radiation
a = 11.4195 (8) ŵ = 0.18 mm1
b = 10.5861 (7) ÅT = 90 K
c = 13.1401 (9) Å0.34 × 0.20 × 0.20 mm
Data collection top
Bruker APEX CCD area-detector
diffractometer
1973 independent reflections
Absorption correction: multi-scan
(SADABS; Bruker, 2002)
1783 reflections with I > 2σ(I)
Tmin = 0.943, Tmax = 0.966Rint = 0.028
15555 measured reflections
Refinement top
R[F2 > 2σ(F2)] = 0.0320 restraints
wR(F2) = 0.082All H-atom parameters refined
S = 1.06Δρmax = 0.34 e Å3
1973 reflectionsΔρmin = 0.20 e Å3
160 parameters
Special details top

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 F2 against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F2, conventional R-factors R are based on F, with F set to zero for negative F2. The threshold expression of F2 > σ(F2) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F2 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 (Å2) top
xyzUiso*/Ueq
O10.96483 (8)0.36616 (9)1.02694 (7)0.0224 (2)
O20.85097 (8)0.24565 (9)1.11679 (6)0.0206 (2)
O30.81846 (8)0.03257 (8)1.07225 (7)0.0208 (2)
O40.93294 (8)0.10398 (8)0.95344 (7)0.0213 (2)
O51.06779 (7)0.06532 (8)0.73282 (6)0.01755 (19)
O61.09321 (8)0.26371 (8)0.77072 (7)0.0205 (2)
N10.81806 (8)0.26489 (9)0.94911 (7)0.0121 (2)
N20.79657 (8)0.04040 (9)0.91362 (7)0.0127 (2)
N30.93467 (8)0.16430 (9)0.82559 (7)0.0134 (2)
N40.88448 (9)0.29180 (9)1.03687 (7)0.0144 (2)
N50.85527 (9)0.03513 (9)0.98530 (8)0.0151 (2)
N61.03699 (9)0.16474 (10)0.77253 (7)0.0138 (2)
C10.74033 (10)0.15500 (11)0.95281 (8)0.0126 (2)
C20.87808 (10)0.28363 (10)0.85261 (9)0.0135 (2)
C30.85587 (10)0.05633 (11)0.81621 (9)0.0140 (2)
H1A0.6771 (13)0.1709 (13)0.9097 (11)0.012 (3)*
H1B0.7145 (13)0.1409 (13)1.0185 (11)0.012 (3)*
H2A0.8192 (12)0.3030 (13)0.8023 (11)0.010 (3)*
H2B0.9329 (13)0.3488 (14)0.8585 (11)0.016 (4)*
H3A0.7972 (13)0.0760 (14)0.7669 (12)0.020 (4)*
H3B0.8988 (13)0.0155 (14)0.8005 (11)0.014 (3)*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
O10.0196 (4)0.0205 (5)0.0271 (5)0.0051 (4)0.0064 (4)0.0029 (4)
O20.0257 (5)0.0252 (5)0.0110 (4)0.0027 (4)0.0017 (3)0.0004 (3)
O30.0261 (5)0.0210 (4)0.0152 (4)0.0046 (4)0.0036 (4)0.0046 (3)
O40.0172 (4)0.0146 (4)0.0320 (5)0.0030 (3)0.0054 (4)0.0011 (4)
O50.0170 (4)0.0202 (4)0.0154 (4)0.0052 (3)0.0031 (3)0.0015 (3)
O60.0166 (4)0.0196 (4)0.0255 (5)0.0036 (3)0.0044 (4)0.0044 (3)
N10.0128 (4)0.0137 (4)0.0099 (4)0.0002 (4)0.0010 (3)0.0014 (3)
N20.0120 (4)0.0129 (4)0.0133 (5)0.0004 (3)0.0002 (3)0.0017 (3)
N30.0128 (5)0.0122 (4)0.0152 (4)0.0001 (3)0.0041 (4)0.0003 (4)
N40.0148 (5)0.0140 (5)0.0143 (5)0.0040 (4)0.0031 (4)0.0030 (4)
N50.0140 (5)0.0116 (4)0.0197 (5)0.0033 (4)0.0050 (4)0.0019 (4)
N60.0125 (4)0.0181 (5)0.0109 (4)0.0011 (4)0.0003 (3)0.0033 (4)
C10.0101 (5)0.0152 (5)0.0126 (5)0.0005 (4)0.0010 (4)0.0002 (4)
C20.0158 (5)0.0114 (5)0.0132 (5)0.0018 (4)0.0022 (4)0.0008 (4)
C30.0151 (5)0.0131 (5)0.0139 (5)0.0010 (4)0.0021 (4)0.0019 (4)
Geometric parameters (Å, º) top
O1—N41.2159 (13)N2—C11.4660 (14)
O2—N41.2199 (13)N3—N61.3606 (13)
O3—N51.2177 (14)N3—C31.4600 (14)
O4—N51.2219 (14)N3—C21.4626 (14)
O5—N61.2263 (13)C1—H1A0.934 (15)
O6—N61.2290 (13)C1—H1B0.925 (14)
N1—N41.4093 (13)C2—H2A0.964 (15)
N1—C21.4551 (14)C2—H2B0.934 (15)
N1—C11.4641 (14)C3—H3A0.956 (16)
N2—N51.4056 (13)C3—H3B0.928 (15)
N2—C31.4579 (14)
N4—N1—C2115.59 (9)N1—C1—N2112.35 (9)
N4—N1—C1117.37 (9)N1—C1—H1A107.8 (9)
C2—N1—C1115.01 (9)N2—C1—H1A105.9 (9)
N5—N2—C3115.63 (9)N1—C1—H1B110.7 (9)
N5—N2—C1116.38 (9)N2—C1—H1B109.5 (9)
C3—N2—C1114.59 (9)H1A—C1—H1B110.4 (13)
N6—N3—C3119.26 (9)N1—C2—N3107.57 (9)
N6—N3—C2120.05 (9)N1—C2—H2A107.3 (8)
C3—N3—C2115.10 (9)N3—C2—H2A109.0 (8)
O1—N4—O2126.04 (10)N1—C2—H2B110.1 (9)
O1—N4—N1116.69 (10)N3—C2—H2B111.2 (9)
O2—N4—N1117.04 (10)H2A—C2—H2B111.5 (12)
O3—N5—O4125.82 (10)N2—C3—N3107.62 (9)
O3—N5—N2116.84 (10)N2—C3—H3A107.2 (9)
O4—N5—N2117.12 (10)N3—C3—H3A108.6 (9)
O5—N6—O6125.00 (10)N2—C3—H3B110.2 (9)
O5—N6—N3117.48 (10)N3—C3—H3B109.5 (9)
O6—N6—N3117.48 (10)H3A—C3—H3B113.5 (13)
C2—N1—N4—O124.84 (13)N4—N1—C1—N293.07 (11)
C1—N1—N4—O1165.72 (10)C2—N1—C1—N248.04 (12)
C2—N1—N4—O2160.30 (10)N5—N2—C1—N191.11 (11)
C1—N1—N4—O219.42 (14)C3—N2—C1—N148.17 (12)
C3—N2—N5—O3167.78 (10)N4—N1—C2—N390.33 (11)
C1—N2—N5—O328.92 (13)C1—N1—C2—N351.49 (12)
C3—N2—N5—O417.30 (14)N6—N3—C2—N1148.08 (10)
C1—N2—N5—O4156.16 (10)C3—N3—C2—N158.46 (12)
C3—N3—N6—O512.18 (14)N5—N2—C3—N387.58 (11)
C2—N3—N6—O5164.56 (10)C1—N2—C3—N352.01 (12)
C3—N3—N6—O6170.00 (10)N6—N3—C3—N2147.49 (9)
C2—N3—N6—O617.63 (15)C2—N3—C3—N258.82 (12)

Experimental details

Crystal data
Chemical formulaC3H6N6O6
Mr222.14
Crystal system, space groupOrthorhombic, Pbca
Temperature (K)90
a, b, c (Å)11.4195 (8), 10.5861 (7), 13.1401 (9)
V3)1588.48 (19)
Z8
Radiation typeMo Kα
µ (mm1)0.18
Crystal size (mm)0.34 × 0.20 × 0.20
Data collection
DiffractometerBruker APEX CCD area-detector
diffractometer
Absorption correctionMulti-scan
(SADABS; Bruker, 2002)
Tmin, Tmax0.943, 0.966
No. of measured, independent and
observed [I > 2σ(I)] reflections
15555, 1973, 1783
Rint0.028
(sin θ/λ)max1)0.667
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.032, 0.082, 1.06
No. of reflections1973
No. of parameters160
H-atom treatmentAll H-atom parameters refined
Δρmax, Δρmin (e Å3)0.34, 0.20

Computer programs: SMART (Bruker, 2002), SAINT (Bruker, 2002), SHELXS97 (Sheldrick, 2008), SHELXL97 (Sheldrick, 2008), CrystalMaker (Palmer, 2006), SHELXTL (Sheldrick, 2008).

 

Acknowledgements

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.

References

First citationAkhavan, J. (2004). The Chemistry of Explosives, 2nd ed. London: The Royal Society of Chemistry.  Google Scholar
First citationBachmann, W. E. & Sheehan, J. C. (1949). J. Am. Chem. Soc. 71, 1842–1845.  CrossRef CAS Web of Science Google Scholar
First citationBrockman, F. J., Downing, D. C. & Wright, G. F. (1949). Can. J. Res. 5, 469–474.  CrossRef Google Scholar
First citationBruker (2002). SMART, SAINT and SADABS. Bruker AXS Inc., Madison, Wisconsin, USA.  Google Scholar
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First citationHarris, P. M., Reed, P. T. & Gluyas, R. E. (1959). AFOSR-TR-59-165. Ohio State University Research Foundation, Columbus, Ohio.  Google Scholar
First citationHenning, (1899). German Patent No. 104 280.  Google Scholar
First citationHerz, E. von (1920). Swiss Patent No. 88 759.  Google Scholar
First citationHultgren, R. (1936). J. Chem. Phys. 4, 84–???Google Scholar
First citationMcCrone, W. C. (1950). Anal. Chem. 22, 954–955.  CrossRef CAS Web of Science Google Scholar
First citationPalmer, D. (2006). CrystalMaker. CrystalMaker Software Ltd, Yarnton, Oxfordshire, England.  Google Scholar
First citationSheldrick, G. M. (2008). Acta Cryst. A64, 112–122.  Web of Science CrossRef CAS IUCr Journals Google Scholar
First citationYi, W.-B. & Cai, C. (2008). J. Hazard. Mater. 150, 839–842.  Web of Science CrossRef PubMed CAS Google Scholar

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