I. INTRODUCTION
X-ray powder diffraction techniques are routinely used in the analysis of high-energy density materials (HEDMs). Their main objectives are phase analysis and calculation of crystal density at room temperature. When single-crystal experiments are unavailable, they are also used to determine the crystal structure (and thus confirm the molecular structure) (Klenov et al., Reference Klenov, Anikin, Guskov, Churakov, Strelenko, Ananyev, Bushmarinov, Dmitrienko, Lyssenko and Tartakovsky2016).
High-energy density materials containing the azoxy group are a subject of intensive research (Fischer et al., Reference Fischer, Klapötke, Reymann and Stierstorfer2014; Yu et al., Reference Yu, Wang, Yang, Wu, Lin, Ju, Lu and Cheng2015; Liu et al., Reference Liu, Zhang, Wang, Li, Zhang and Shreeve2016). However, only few (and not high-energy) compounds with an azoxy group bonded to a nitrogen atom of the heterocycle were reported (Moriarty et al., Reference Moriarty, Hopkins, Prakash, Vaid and Vaid1990; Semenov et al., Reference Semenov, Churakov, Chertanova, Strelenko, Ioffe and Tartakovskii1992). Additional N–N bond can increase the enthalpy of formation and thus energy density. A molecular diagram for 3-[(3,4-dinitro-1H-pyrazol-1-yl)-NNO-azoxy]-4-nitro-1,2,5-oxadiazole C5HN9O8 is shown in Figure 1.
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210907125543592-0621:S0885715621000233:S0885715621000233_fig1.png?pub-status=live)
Figure 1. The molecular structure of 3-[(3,4-dinitro-1H-pyrazol-1-yl)-NNO-azoxy]-4-nitro-1,2,5-oxadiazole.
II. EXPERIMENTAL
A. Safety precautions
Although we have encountered no difficulties during the preparation and handling of compound described in this paper, it is a potentially explosive energetic material that is sensitive to impact and friction. Mechanical actions of this energetic material, involving scratching or scraping, must be avoided. Any manipulations must be carried out by using appropriate standard safety precautions (face shield, ear protection, body armor, Kevlar® gloves, and grounded equipment).
3-[(3,4-Dinitro-1H-pyrazol-1-yl)-NNO-azoxy]-4-nitro-1,2,5-oxadiazole was synthesized in three steps from known 1-amino-3,4-dinitropyrazole (Yin et al., Reference Yin, Zhang, He, Parrish and Shreeve2014) as part of Russian Science Foundation project 19-13-00276.
The compound is an impact and friction-sensitive explosive, so caution is needed during sample preparation. The sample was ground in an agate mortar in small (~5 mg) portions and placed between two Kapton films with a PTFE spatula.
The powder pattern was measured on a Bruker AXS D8 Advance Vario powder diffractometer equipped with primary monochromator (CuKα 1, λ = 1.54056 Å) and 1D LynxEye PSD. Data were collected at room temperature in the range 2–60° in 2θ with a 0.01° 2θ step size and 1 s step−1 in transmission mode (Figure 2).
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210907125543592-0621:S0885715621000233:S0885715621000233_fig2.png?pub-status=live)
Figure 2. Final observed (black), calculated (red), and difference profiles for the Rietveld refinement.
The diffraction pattern was indexed on a primitive orthorhombic cell with a = 8.3104(2) Å, b = 14.2198(5) Å, c = 19.4264(7) Å using the SVD (singular value decomposition) index algorithm (Coelho, Reference Coelho2003) as implemented in Bruker TOPAS 5.0 (Coelho, Reference Coelho2018), and space group determination was carried out using statistical systematic absences analysis as implemented in ExtSym (Markvardsen et al., Reference Markvardsen, Shankland, David, Johnston, Ibberson, Tucker, Nowell and Griffin2008). The resulting most probable space group Pbca was later confirmed by structure solution and refinement.
Parallel tempering, as implemented in FOX (Favre-Nicolin and Černý, Reference Favre-Nicolin and Černý2002) was used to solve the crystal structure in direct space. The Rietveld refinement (with Bruker TOPAS 5.0) was carried out using bond and angle restraints derived from PW-DFT-D calculations and a “riding” model for the hydrogen atom. The restraint weight was automatically decreased during the refinement, and the refinement result of a more restrained model served as a starting structure for the next less restrained one. For a detailed explanation of the methodology, see Dmitrienko and Bushmarinov (Reference Dmitrienko and Bushmarinov2015).
PW-DFT-D calculations were performed in VASP5.4.4 (Kresse and Hafner, Reference Kresse and Hafner1993, Reference Kresse and Hafner1994; Kresse and Furthmüller, Reference Kresse and Furthmüller1996a, Reference Kresse and Furthmüller1996b) using the PBE functional (Perdew et al., Reference Perdew, Burke and Ernzerhof1996) corrected by the Grimme D3 van der Waals correction (Grimme et al., Reference Grimme, Antony, Ehrlich and Krieg2010) with Becke–Jonson damping (Grimme et al., Reference Grimme, Ehrlich and Goerigk2011). A plane-wave basis set with “normal” projector augmented wave (PAW) pseudopotentials (Blöchl, Reference Blöchl1994; Kresse and Joubert, Reference Kresse and Joubert1999) as supplied with VASP was employed. All optimizations were performed using an energy cutoff of 600 eV. Default 0.5 Å−1 k-point mesh and 2 k-points were used in all calculations.
Root-mean-square (rms) Cartesian displacement between the Rietveld-refined structure and the PW-DFT-D-optimized ones were calculated as suggested by Neumann (van de Streek and Neumann, Reference van de Streek and Neumann2014).
III. RESULTS AND DISCUSSION
Parallel tempering runs in FOX lead to two global minimization solutions with almost identical χ 2; their views in crystals are shown in Figures 3 and 4. The only difference between the structures is the mutual arrangement of C–H and N-lone pair fragments of the pyrazole ring.
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210907125543592-0621:S0885715621000233:S0885715621000233_fig3.png?pub-status=live)
Figure 3. General view of 1 in a crystal.
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210907125543592-0621:S0885715621000233:S0885715621000233_fig4.png?pub-status=live)
Figure 4. General view of 2 in a crystal.
Both C–H and N-lone pair fragments contain seven electrons and it can be difficult to distinguish them even for a medium quality single-crystal experiment. For Rietveld refinement where both atomic thermal parameters and Fourier maps are noisy, there is no way to do it reliably. In most cases, such ambiguity can be resolved by examining intermolecular contacts. But high-energy density material structures often lack strong hydrogen or halogen intermolecular bonds and contain only weak O⋯O and O⋯π contacts (Fedyanin et al., Reference Fedyanin, Lyssenko, Fershtat, Muravyev and Makhova2019). Structures 1 and 2 share most contacts, the only differences are weak intramolecular C–H⋯O hydrogen bond with formation of 6-member cycle in 1 and weak intermolecular C–H⋯π interaction in 2. No unusual contacts were found in either structure; it is not immediately obvious which structure is correct.
Another way to choose the correct solution is to optimize both structures with an appropriate quantum chemistry method and examine resulting energies and geometries. If one of the structures has much higher energy or the atomic coordinates vary significantly from experimental ones, we should dismiss that solution (van de Streek and Neumann, Reference van de Streek and Neumann2010). If energies and atomic positions are close, we should consider a statically disordered structure.
For structure 1, PW-DFT-D-optimized energies are −1297.188/−1297.284 eV for fixed/relaxed cell calculations. For structure 2, optimized energies are −1294.912/−1295.495 eV. So, structure 1 is more than 5 kcal mol−1 more energetically favorable. The difference is large: considering Boltzmann distribution at room temperature coexisting of two forms is improbable. Thus, we should dismiss structure 2 and accept structure 1.
After the solution step, the difference between 1 and 2 was merely a swap of C–H and N fragments in the pyrazole ring or, equivalently, 180° change in the C2–N4–N5–N6 torsion angle. Now, it is possible to discuss more subtle geometric features of the calculated structures; all the values discussed are related to the free-cell calculations. The most considerable differences are in the bond angle C5–N6–N5 (134.1° for 1 and 118.1° for 2), the torsion angle C2–N4–N5–N6 (173.2° for 1 and 171.7° for 2), and the dihedral angle between planes containing pyrazole and furazan rings (68.7° for 1 and 62.8° for 2). The differences are associated with the intramolecular hydrogen bond in structure 1.
Rietveld refinement was performed with fixed-cell energy-optimized structure 1 as source of bond and angle restraints. Final refinement with 98 variables and 56 restraints over 5536 data points yielded R p/R p′/R wp/R wp′/R Bragg = 6.08/16.96/8.41/17.47/2.31%, GOF = 1.26. The resulting Rietveld plot is shown in Figure 2. The rms Cartesian displacement between free-cell energy-optimized structure 1 and final Rietveld-refined structure is 0.083, which is within the range expected for correct structures. Comparison of the final Rietveld-refined structure with fixed-cell energy-minimized structures 1 and 2 is shown in Figure 5.
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210907125543592-0621:S0885715621000233:S0885715621000233_fig5.png?pub-status=live)
Figure 5. Comparison of energy-optimized structures 1 (cyan), 2 (red), and Rietveld-refined 1 (magenta).
Figure 6 depicts the packing of 1. The shortest intermolecular contact in the structure is the O⋯π interaction between the nitro group and the furozan cycle with the O⋯C distance 2.851 Å. Other notable contacts are NO2⋯O2N (O⋯O distance is 2.938 Å), NO2⋯N(O)N (O⋯N distance is 2.930 Å), and another NO2⋯π (O⋯C distance is 2.937 Å). A lack of strong intermolecular interactions is typical for HEDMs.
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210907125543592-0621:S0885715621000233:S0885715621000233_fig6.png?pub-status=live)
Figure 6. Fragment of the crystal packing of 1 (view along the a-axis).
IV. DEPOSITED DATA
The Crystallographic Information File (ak170.cif) that contains the results of the Rietveld refinement and the raw powder diffraction pattern, and four files (VASP_1_refined_cell.cif, VASP_1_fixed_cell.cif, VASP_2_refined_cell.cif, VASP_2_fixed_cell.cif) related to the PW-DFT-D calculations using VASP were deposited with ICDD. The VASP files were used to obtain the bond length and angle restraints and for geometry discussion. These data files can be requested at info@icdd.com. The first file is also available from CCDC 2025381.
ACKNOWLEDGEMENTS
The study was funded by RFBR according to the research project № 1933-60075. M. S. Klenov and A. A. Konnov acknowledge financial support from the Russian Science Foundation (project 19-13-00276) for the synthesis of the title compound. The in crystal calculations were carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University (Sadovnichy et al., Reference Sadovnichy, Tikhonravov, Voevodin, Opanasenko and Vetter2013).