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Study on pyrolysis mechanism of 1,7-diacetoxy-2,4,6-trinitro-2,4,6-triazaheptane (BSX)
⁎Corresponding author at: School of Chemistry and Chemical Engineering, North University of China, Taiyuan 030051, Shanxi, China. chen17555@163.com (Lizhen Chen)
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Received: ,
Accepted: ,
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.
Peer review under responsibility of King Saud University.
Abstract
The thermal decomposition process of 1,7-diacetoxy-2,4,6-trinitro-2,4,6-triazaheptane (BSX) was studied by TG-DSC, TG-MS, TG-FTIR technology and ReaxFF molecular dynamics (ReaxFF MD) simulation. The decomposition activation energy of BSX was calculated according to the test results of TG-DSC. The main thermal decomposition products of BSX were determined by combining experiments and simulations, and the possible thermal decomposition pathways were analyzed. The results showed that the decomposition activation energy of BSX is 161 ± 2.6 kJ·mol−1; The thermal decomposition of BSX may generate the main intermediate products C8H14N5O8, C4H7NO2, C2H3O2, HNO2, NO2 and NO, etc., and the intermediate products continued to decompose to generate the final products CH2O, CO2, CO, H2O and N2; The reaction rate constants of each stage of BSX were calculated, and the possible thermal decomposition pathways of BSX were obtained: BSX → C8H14N5O8 + NO2 → C5H9N3O4 + C4H7N4O6 + C4H7NO2 + C3H5N2O4 → C2H3O2 + C2H3O + CH2O + CO2 + CO + H2O + HNO2 + N2O2 + NO2 + NO + H + OH + … → CH2O + CO2 + CO + H2O + N2 + … This study contributes to a deeper understanding of the decomposition process of BSX after heating and has specific significance for reducing the thermal hazard of the BSX pyrolysis process.
Keywords
1,7-diacetoxy-2,4,6-trinitro-2,4,6-triazaheptane (BSX)
TG-DSC
TG-FTIR-MS
ReaxFF MD simulation
Thermal decomposition mechanism
1 Introduction
Energetic materials are important chemical energy sources with high energy density and occupy an essential position in both military and civilian applications (Wang et al., 2021; Ren, 1994). 1,3,5-Trinitro-1,3,5-triazacyclohexane (RDX) is a commonly used energetic material with high intensity, high power and good chemical stability (Li, 2016; Olah and Squire, 1991; Yu, 2009). The main preparation techniques of RDX in the world are the acetic anhydride method and the direct nitrate method (Mi et al., 2013). The acetic anhydride method, as an effective method for the preparation of RDX, has directly or indirectly led to the synthesis of many new nitroamine compounds, such as octogen (1,3,5,7-tetranitro-1,3,5,7-tetraazacyclooctane, HMX) and 1,7-diacetoxy-2,4,6-trinitro-2,4,6-triazaheptane (BSX, C8H14N6O10) (BaChmann and Sheehan, 1949). BSX is one of the main by-products in synthesising RDX by the acetic anhydride method. After the reaction, BSX is pyrolyzed by heating the reaction solution to 95 ℃ and reflux for a particular time (Ren, 1994). However, the pyrolysis characteristics of BSX are not clear. Since the thermal decomposition mechanism is crucial to the performance and safety of energetic materials, it is necessary to understand the thermal decomposition mechanism fully (Ren et al., 2018).
In previous works, Bachmann and Sheehan (BaChmann and Sheehan, 1949) added a mixture of hexamethylenetetramine dinitrate (HADN) and ammonium nitrate to acetic anhydride and 98% nitric acid. They reacted at 75 ℃ to obtain a product with a melting point of 140–145 ℃, which was recrystallized in acetone and ethyl acetate. BSX with a melting point of 154–155 ℃ was obtained. Small et al. (Claringbull and Small, 1971; Cobbledick and Small, 1973; Cobbledick and Small, 1973; Cobbledick and Small, 1973; Cobbledick and Small, 1973; Cobbledick and Small, 1987) prepared solvent complexes of BSX with acetone, nitromethane, acetonitrile, and other solvents; BSX and its solvent complexes were detected by X-ray crystallography, and the relevant crystallographic data were obtained. Hall (Hall, 1970) investigated the thermochemical properties of solvent complexes of BSX with dioxane, acetophenone, cyclohexanone, tetrachloroethane, formamide and N,N-dimethylformamide by differential scanning calorimetry, and the enthalpies of desolvation of these compounds were determined. Cobbledick et al. (Cobbledick et al., 1973) synthesized BSX and its solvent complexes, determined the stoichiometry of the complexes by thermogravimetric analysis, studied the thermal properties of the complexes by differential scanning calorimetry and estimated the enthalpies of desolvation of some complexes; the infrared and Raman spectra of some complexes were determined. These results have important guiding significance for the further research of BSX. Considering that there is no research on the thermal decomposition process of BSX, the study on the thermal hazard characteristics and thermal decomposition mechanism of BSX will help to deepen the understanding of BSX characteristics, reduce the thermal hazard of the BSX pyrolysis process, and improve the safety of the RDX synthesis process.
In this paper, the thermal decomposition of BSX was investigated from both experimental and simulation aspects. Firstly, the TG-DSC technology was used to study the thermal decomposition characteristics of BSX under dynamic conditions, and the test results could be used to calculate the thermal decomposition kinetic parameters of BSX. Then, the molecular weight of the gas products generated by thermal decomposition was preliminarily determined by TG-MS technology, and the gas products were further characterized by TG-FTIR technology. The gas products generated by BSX thermal decomposition were identified according to the molecular weight of the gas products and the position of the group peak. Finally, the pyrolysis process of BSX at 2000 K, 2500 K and 3000 K was investigated by ReaxFF MD simulation. The simulation results were used to analyze the formation pathways of major intermediates and final products. They were also used to calculate the reaction rate constants of the initial decomposition, intermediate decomposition and final product formation. The possible thermal decomposition paths of BSX were obtained by combining the kinetic simulation results with the experimental results.
2 Material and methods
2.1 Material
1,7-Diacetoxy-2,4,6-trinitro-2,4,6-triazaheptane (BSX, CAS NO. 14173–62–7) purchased from Gansu Yin Guang Chemical Industry Group Co. Ltd. The chemical structures of BSX is presented in Fig. 1.
Chemical structures of BSX.
2.2 Methods
2.2.1 TG-DSC technology
The weight loss and heat flow curves of BSX at 50–450 ℃ were obtained by TG/DSC 3 + analyzer (Mettler Toledo, Switzerland). Before the test, standard samples (In, Zn, Al, Au) were used to calibrate and adjust the temperature and heat flow of the TG/DSC 3 + instrument. A 70 μL alumina crucible was used in the experiment, and the heating rates were 5, 10, 15 and 20 K·min−1. The sample mass was 1.30 ± 0.10 mg. The purge gas was high-purity nitrogen (99.999%) with a flow rate of 50 mL·min−1.
2.2.2 TG-MS technology
Pyris Diamond thermogravimetric/differential thermal analyzer (Perkin Elmer, USA) and Omnistar gas mass spectrometry analyzer (Pfeiffer, Germany) were used to obtain the ionic current intensity of the gaseous products during the thermal decomposition of BSX at 25–450 ℃. Before the test, the temperature and heat flow of the Pyris Diamond TG/DTA instrument were calibrated and adjusted. An aluminium crucible was used for the experiment. The heating rate was 5 K·min−1. The sample mass was 4.20 mg. And the purge gas was high purity argon (99.999%) with a flow rate of 50 mL·min−1, which is beneficial to make all the gases produced by the thermal decomposition of BSX enter the gas mass spectrometry analyzer. The Omnistar analyzer was connected to the Pyris Diamond TG/DTA instrument online through a stainless steel capillary heated to 200 ℃. The total wavelength cyclic scanning of gas fragments in the m/z range of 1 ∼ 200 amu was performed by electron bombardment ionization at the electron energy of 70 eV. Each cycle lasted for 105 s, and there were 49 cycles.
2.2.3 TG-FTIR technology
STA 449 F5 analyzer (NEZTSCH, Germany) and Fourier transform infrared spectrometer (Bruker, Germany) were used to obtain the absorbance curves versus temperature for different groups of gaseous products during the thermal decomposition of BSX at 35–450 ℃. Before the test, the temperature and heat flow of the STA 449 F5 analyzer were calibrated and adjusted. A tungsten crucible was used for the experiment. The heating rate was 5 K·min−1. The sample mass was 5.30 mg. The purge gas was high purity argon (99.999%) with a flow rate of 50 mL·min−1, which is beneficial to make all the gases produced by the thermal decomposition of BSX enter the Fourier transform infrared spectrometer. The gas cell at 200 ℃ on the infrared spectrometer was connected online to the STA 449 F5 analyzer through a stainless steel capillary heated to 200 ℃. The FTIR spectrum was collected in the 4400–600 cm−1 with a precision of 0.01 cm−1.
2.2.4 ReaxFF MD simulation
The Amsterdam Modeling Suite (AMS) was used for ReaxFF MD simulation (van Duin et al., 2001; Chenoweth et al., 2008) (ReaxFF 202*, SCM, Theoretical Chemistry, Vrije Universiteit, Amsterdam, The Netherlands, https://www.scm.com Optionally). The thermal decomposition process of BSX was simulated using the Reaxff-HE Force field (Zhang et al., 2009; Zhang et al., 2009; van Duin et al., 2001; Strachan et al., 2003). The space group of BSX is C2/c, and the cell parameters of a, b, c and β are 26.94, 9.17, 6.12 and 101.35°, respectively (Cobbledick and Small, 1973). Firstly, the supercell of BSX was established. The a, b, c, β, density and the molecular number of supercell were 26.53, 27.43, 29.59, 101.35°, 1.64 g·cm−3 and 60 (2280 atoms), respectively. Fig. 2 shows the supercell of BSX. Then, a 10 ps molecular dynamics simulation was performed on the BSX supercell at 298 K using an NVT ensemble (constant particle number, constant volume, and constant temperature) and coupled Nosé-Hoover thermostats (NHC thermostats). Then, molecular dynamics simulation of 10 ps was carried out at 0 Pa using an NPT ensemble (constant particle number, constant pressure and temperature) and Martyna-Tobias-Klein barostat (MTK barostat). Thus, the system's energy was minimized, and the initial supercell for thermal decomposition simulation was obtained. Then, at 2000 K, 2500 K and 3000 K, molecular dynamics simulations of initial BSX supercell were performed at 1000 ps, 500 ps and 100 ps using NVT ensemble and NHC thermostat. Due to the simulation's high temperature, a relatively short time step was required. During the simulation, 0.25 fs was used as the time step, and the dynamic trajectory (including atomic positions and velocities) was recorded every 100 fs. It is possible to analyze the thermal decomposition paths of BSX through the simulation results.
Supercell of BSX (Grey is the carbon atom, white is the hydrogen atom, red is the oxygen atom, blue is the nitrogen atom).
3 Results and discussion
3.1 TG-DSC analysis
The thermal decomposition behavior of BSX under dynamic conditions was studied by DSC combined with the TG method. Fig. 3 and Fig. 4 are the TG-DTG and DSC curves of BSX at different heating rates. Fig. 3 shows that the TG curve has only one weight loss step and the DTG curve has only one weight loss peak under different heating rates, indicating that BSX is continuously decomposed by heating within the range of the test temperature. Fig. 4 shows that all DSC curves have a downward endothermic peak and an upward exothermic peak. The endothermic peak corresponds to the melting of BSX, and the exothermic peak corresponds to the decomposition. The increase in the heating rate causes the TG, DTG and DSC curves to move to the right, resulting in the weight loss peak and exothermic peak shift to high temperature. The increase in the thermal decomposition temperature is caused by thermal hysteresis, which occurs because of the rise in the heating rate. At different heating rates, the thermal decomposition characteristic parameters of BSX are shown in Table 1.
TG (up) -DTG (down) curves of BSX.

DSC curves of BSX.
| β/(K·min−1) | m/mg | onset temperature/℃ | peak temperature/℃ | final temperature/℃ |
|---|---|---|---|---|
| 5 | 1.20 | 228 | 249 | 259 |
| 10 | 1.30 | 233 | 259 | 270 |
| 15 | 1.30 | 239 | 264 | 278 |
| 20 | 1.40 | 242 | 269 | 282 |
The kinetic parameters of BSX were calculated by the Kissinger method (Kissinger, 1957) and the Flynn-Wall-Ozawa method (Ozawa, Bull.chem.soc.jpn 1965,; Ozawa, 1970). The Kissinger Eq. (1) and the Flynn-Wall-Ozawa Eq. (2) are as follows:
The basic kinetic data at the decomposition stage are shown in Table 2. ln(β/Tp2) and TP-1, logβ and TP-1 were fitted to obtain the slope and intercept of the fitted straight line. Fig. 5 is the relevant results.
| β/(K·min−1) | TP/(K) | 103TP-1/(K−1) | Kissinger method | FWO method |
|---|---|---|---|---|
| ln (β/TP2)/(min−1·K−1) | logβ/(K·min−1) | |||
| 5 | 522 | 1.91 | −10.9 | 0.700 |
| 10 | 532 | 1.88 | −10.2 | 1.00 |
| 15 | 537 | 1.86 | −9.87 | 1.18 |
| 20 | 542 | 1.85 | −9.59 | 1.30 |

- (a) ln(β/ Tp2) versus Tp-1 for BSX. (b) logβ versus Tp-1 for BSX.
Table 3 shows the calculation results of E and A. The decomposition activation energy of BSX calculated by the Kissinger method is Ek = 161 ± 2.6 kJ·mol−1, the pre-exponential constant Ak = 4.48 × 1015 s−1, and the EO = 161 ± 2.5 kJ·mol−1 is calculated by the Flynn-Wall-Ozawa method. It can be seen that the decomposition activation energies obtained by the Kissinger method and the Flynn-Wall-Ozawa method are same, and the correlation coefficient R2 of the two methods is close to 1. The decomposition activation energy of BSX is 161 ± 2.6 kJ·mol−1.
| method | R2 | slope | intercept | E/(kJ·mol−1) | A/(s−1) |
|---|---|---|---|---|---|
| Kissinger method | 0.9992 | −19.4 ± 0.3 | 26.2 ± 0.6 | 161 ± 2.6 | 4.48 × 1015 |
| FWO method | 0.9993 | −8.9 ± 0.1 | 17.6 ± 0.3 | 161 ± 2.5 | – |
3.2 TG-MS analysis
MS combined with the TG method was used to detect the m/z of BSX pyrolysis products at different temperatures. The 3D mass spectra of BSX cleavage products are shown in Fig. 6. It can be seen from Fig. 6, as the cycle goes on, that is, with the temperature increases, the ionic current intensity of some molecular weights changes. The range of variation is about 232–277 ℃. There is a time delay between the measurements by TG and MS, resulting in a higher variation range than the decomposition temperature range (180–276 ℃) tested by TG. Fig. 7 shows the curves of the ionic current intensity changing with time when m/z is 17, 18, 28, 30, 43, 44, and 46. It can be seen from Fig. 7 that the ionic current intensity reaches the maximum at 49 min. Fig. 8 shows the mass spectrometry at 49 min. The major ion fragments were analyzed by combining the m/z ratio and NIST database. Table 4 lists the possible compounds. At 49 min, there are strong signals at m/z values of 18, 28, 30, 44, and 46. According to the m/z values, the gaseous products released by BSX decomposition are mainly H2O, CO/N2/C2H4, NO/CH2O, CO2 and NO2. TG-FTIR analysis was used to further characterize the gaseous products during the thermal decomposition of BSX.
3D mass spectrum of pyrolysis products of BSX.

Changes of ionic current intensity at m/z 17, 18, 28, 30, 43, 44, 46.

Mass spectrum at 49 min.
| m/z | Assignment | m/z | Assignment |
|---|---|---|---|
| 2 | H2+ | 27 | C2H3+, CHN+ |
| 12 | C+ | 28 | N2+, CO+, C2H4+ |
| 14 | N+ | 30 | NO+, CH2O+ |
| 15 | CH3+, NH+ | 40 | C3H4+ |
| 16 | O+, CH4+, NH2+ | 43 | C3H7+, C2H5N+, C2H3O+, CHON+ |
| 17 | OH+, NH3+ | 44 | CO2+ |
| 18 | H2O+ | 46 | NO2+ |
3.3 TG-FTIR analysis
The functional groups of BSX pyrolysis products at different temperatures were detected by FTIR combined with the TG method. Fig. 9 is the three-dimensional infrared spectrum of BSX pyrolysis products. Fig. 9 shows that there are multiple absorption peaks within 150–250 ℃. The analysis indicates that the sample begins to decompose at 190 ℃, ends at 272 ℃, and the decomposition rate reaches the fastest at 253 ℃. According to the three-dimensional infrared spectrum and the weight loss curve of BSX, the infrared spectrograms at 190 ℃, 253 ℃ and 272 ℃ are selected for analysis, as shown in Fig. 10.
3D infrared spectrum of pyrolysis products of BSX.

Infrared spectra of BSX products at selected temperatures.
Fig. 10 shows that there are significant absorption bands at 3582 cm−1, 2801 cm−1, 2353 cm−1, 2234 cm−1, 1796 cm−1, 1301 cm−1 and 648 cm−1. Due to the decomposition of BSX, the intensity of the absorption peak at 272 ℃ is higher than that at 190 ℃. Compared with the experimental values, the wavenumber 3582 cm−1 is the characteristic absorption peak of water, the wavenumbers 2801 cm−1 and 1796 cm−1 are the characteristic absorption peak of formaldehyde, the wavenumbers 2353 cm−1 and 648 cm−1 are the characteristic absorption peak of carbon dioxide, the characteristic absorption peak of carbon monoxide is 2234 cm−1, and the characteristic absorption peak of nitric oxide is 1301 cm−1. Combined with mass spectrometry analysis, it can be determined that there is CO in the m/z 28 species and NO and CH2O in the m/z 30 species. The analysis results of FTIR and mass spectrometry confirmed that H2O, CH2O, CO2, CO and NO were generated during the decomposition of BSX.
3.4 ReaxFF MD analysis
ReaxFF MD simulation was used to calculate the thermal decomposition process of BSX. Reaction analysis was carried out by ChemTrayzer (Chemical Trajectory Analyzer) code (Döntgen et al., 2015). Some of the chemical bonds in the BSX molecule; and the atoms on the main chain of BSX, are numbered, as shown in Fig. 11. Table 5 shows the bond lengths which are obtained by experiment, ReaxFF simulations and DFT simulations.
Some number of chemical bonds and atoms in the BSX. (Grey is the carbon atom, white is the hydrogen atom, red is the oxygen atom, blue is the nitrogen atom).
| bond | bond length (exp)/Å | bond length (ReaxFF)/Å |
bond length (DFT)/Å |
|---|---|---|---|
| N4—N | 1.356 | 1.494 | 1.387 |
| N⚌O | 1.231 | 1.292 | 1.216 |
| N4—C5 | 1.448 | 1.491 | 1.450 |
| C—H | 0.990 | 1.117 | 1.087 |
| C5—N6 | 1.452 | 1.510 | 1.462 |
| N6—N | 1.374 | 1.529 | 1.393 |
| N6—C7 | 1.434 | 1.465 | 1.447 |
| C7—O | 1.441 | 1.448 | 1.424 |
| O—C8 | 1.351 | 1.431 | 1.384 |
| C8⚌O | 1.193 | 1.273 | 1.194 |
| C8—C | 1.484 | 1.536 | 1.511 |
3.4.1 Evolution of PE and the total number of BSX
Fig. 12 is the time evolution diagram of the number of BSX molecules and PE at 2000 K, 2500 K and 3000 K. The chemical reaction's equilibrium is judged according to the evolution of PE; whether the thermal decomposition of the substance has reached completeness can be considered according to the number of molecules of BSX. It can be seen from the nBSX curve that at 3000 K, the BSX molecules are entirely decomposed in 1.3 ps. In comparison, it takes 2.15 ps and 4.1 ps for the whole decomposition of BSX molecules when the temperature is 2500 K and 2000 K. As the temperature increased, the time required for the complete pyrolysis of the BSX molecules became shorter. As can be seen from the PE curves, at all the temperatures studied, the PE increases and reaches the maximum value in a short period, decreases, and finally fluctuates near a particular asymptotic value. It shows that BSX needs to absorb energy at the initial stage of decomposition and begins to decompose when the activation energy of thermal decomposition of BSX is reached. The PE value decreases due to the release of energy. When the reaction in the system comes to equilibrium, the PE value tends to be constant. The increase in temperature leads to a larger maximum value of PE and a faster decomposition rate. The time required for the reaction to reach equilibrium is reduced as the rate of decomposition increases. Combined with PE and nBSX curve analysis, it can be seen that after BSX is completely decomposed, the PE of the system is still decreasing, indicating that the intermediate products generated by the decomposition of BSX continue to react and develop the final product. The decomposition of BSX before the time when PE reaches the maximum value (tmax) is defined as the initial decomposition stage; the subsequent decomposition is the intermediate reaction stage. The two stages are studied separately to analyze possibly chemical reactions that may occur during the process. The rate constants of each stage are calculated.
Evolutions of PE (solid lines) and nBSX (dash lines) with time under different temperatures.
3.4.2 Initial decomposition stage
There are mainly two kinds of chemical bond breakage (the cleavage of the N-NO2 bond and the cleavage of the C-N bond) that occur during the initial decomposition stage of BSX. The main thermal decomposition pathways of BSX and the percentage of each pathway are shown in Scheme 1. The breakage of the N-NO2 bond corresponds to the P1 and P2 pathways. Most of the NO2 groups are caused by the breakage of the N2-NO2 bond (chemical bond ①, P1 pathway), and a small part is caused by the breakup of the N4-NO2 bond (chemical bond ④, P2 pathway). In the P1 and P2 pathways, the NO2 group leaves to generate C8H14N5O8. The break of the C-N bond corresponds to the P3 and P4 pathways. In the P3 pathway, the chemical bond C5-N6 (chemical bond ⑥) breaks, and BSX decomposes into C5H9N4O6 and C3H5N2O4. In the P4 pathway, the C3-N4 bond (chemical bond ③) is broken to generate C4H7N2O4 and C4H7N4O6. The calculation results of AMS show that the probability of C-N bond breakup in BSX is lower than that of N-NO2 bond cleavage. In this paper, the chemical reaction that occurs after N-NO2 bond cleavage is studied in depth.
The main reaction pathways of BSX thermal decomposition simulation.
The reaction rate constant (k1, ps−1) at the initial decomposition stage of BSX was calculated (Lan et al., 2021; Chen et al., 2018; Rom et al., 2011). The k1 in the initial decomposition stage was fitted by eq. (3).
The tmax values at 2000 K, 2500 K and 3000 K are 4.300 ps, 2.675 ps and 1.500 ps, respectively. From t0 (0.025 ps) to tmax, the change of BSX molecular number can be fitted. Fig. 13 shows the fitting result of eq. (3). At 2000 K, 2500 K and 3000 K, the fitted values of k1 are 0.57, 1.14 and 2.02 ps−1, with the R2 value of 0.93, 0.90 and 0.94 respectively. From the relevant results of k1, it can be seen that the thermal decomposition rate of BSX increases with the temperature increase.
Evolution of nBSX (point) with time and corresponding fitting curves (dash lines) at different temperatures.
3.4.3 Intermediate reaction stage
Many intermediate and final products are generated by BSX during the decomposition process. The decomposition that occurs after the nitro group on the N2 of BSX leaves is shown in Scheme 2. C8H14N5O8 breaks the C3-N4 bond (chemical bond ③) to generate C4H7NO2 and C4H7N4O6 (P5 pathway): C4H7NO2 decomposes to generate main intermediate products such as C3H5O2, C2H3O, C2H3O2, etc., which are further decomposed into CH2O, CO, CO2 and H; C4H7N4O6 breaks the C5-N6 bond (chemical bond ⑥) to develop CH2N2O2 and C3H5N2O4, CH2N2O2 further decomposes to generate NO2 and CH2N, C3H5N2O4 further decomposes to create C2H3O2, C2H3O and CH2NO, etc., these products are further decomposed to produce H, CO and CO2. NO2 and H can combine to form HNO2, and HNO2 decomposes to produce OH and NO. Two molecules of NO can form N2O2, which decomposes to produce N2. OH and H combine to generate H2O.
ReaxFF MD simulation combined with ChemTrayzer analysis of the BSX thermal decomposition pathway (P5 pathway).
The decomposition after the nitro group on the N4 of BSX leaves is shown in the P6 pathway (Scheme 3). C8H14N5O8 breaks the N2-C3 bond (chemical bond ②) to generate C3H5N2O4 and C5H9N3O4: C3H5N2O4 breaks down to produce the final products H2O, N2, CO and CO2 (P9 pathway); C5H9N3O4 drops a NO2 to cause C5H9N2O2, C5H9N2O2 breaks the N4-C5 bond (chemical bond ⑤) to develop C4H7NO2和CH2N, C4H7NO2 breaks down to produce the final products CH2O, CO and CO2 (P7 pathway).
ReaxFF MD simulation combined with ChemTrayzer analysis of the BSX thermal decomposition pathway (P6 pathway).
Take the decomposition of 2000 K as an example for in-depth analysis. The quantity changes of BSX and some main intermediate products are shown in Fig. 14. Fig. 15 shows the quantity changes of NO, NO2 and final products. Fig. 14 reveals that with BSX decomposition, one NO2 is first dropped within 1 ps to generate C8H14N5O8. C8H14N5O8 continues to decompose within 1–4 ps to generate a large amount of C4H7NO2, C3H5N2O4 and C3H5NO2 and a small amount of C2H3O2 and HNO2. A large amount of HNO2, C2H3O2 and a small amount of C2H3O and N2O2 are generated within 4–10 ps, and more C2H3O2, C2H3O and N2O2 are developed in 10–100 ps. Fig. 15 proves that the number of NO2 continues to increase within 4 ps (which is consistent with the analysis results in Fig. 14). The amounts of NO2 and NO both increased first and then decreased, indicating that the nitrogen oxides generated by the decomposition of BSX reacted with the intermediate products, then the final products were formed. The quantities of the products H2O, N2, CO2, CH2O, and CO generated by the decomposition gradually tend to an asymptotic value with time change. The ReaxFF MD simulation results show that BSX produces five final products: H2O, N2, CO2, CH2O, and CO. The TG-MS and TG-FTIR techniques verified the existence of CH2O, CO2, CO and H2O in the decomposition products of BSX. The ReaxFF MD simulation results show that N2 is generated. TG-MS combined with the simulation results, molecular weight 43 can be determined to be C2H3O. The results of TG-MS clarified the existence of intermediate C2H3O. The ReaxFF MD simulations and experiments complement each other.
The curve of quantity change of BSX and some significant intermediates.

The curve of the quantity change of NO, NO2 and final product.
The reaction rate constant (k2, ps−1) in the intermediate decomposition stage of BSX was calculated (Lan et al., 2021; Chen et al., 2018; Rom et al., 2011). k2 was fitted by decay exponential function (eq. (4)).
It can be seen from Table 6 that the parameters of the exponential behavior of PE over time. Fig. 16 shows the fit of the decayed part of the PE curve. The fitted values of k2 at 2000 K, 2500 K and 3000 K are 0.0125, 0.0375 and 0.0833 ps−1, with the R2 value of 0.98, 0.96 and 0.97 respectively, indicating that the secondary decomposition rate increases with the temperature increase.
| T/K | Utmax/(kJ·mol−1) | U∞/(kJ·mol−1) | tmax/(ps) | k2/(ps−1) |
|---|---|---|---|---|
| 2000 | −933321 | −1029264 | 1.875 | 0.0125 |
| 2500 | −917530 | −1020896 | 1.475 | 0.0375 |
| 3000 | −905200 | −1004160 | 1.500 | 0.0833 |

- Time evolution of the PE (solid lines) and the exponential function fits (dashed lines) at different temperatures.
At different temperatures, BSX was thermally decomposed to obtain the final products. Among them, H2O, N2 and CO2 are the three products with more molecules. Since various reactions can generate final products, eq. (5) was used to fit the time evolution of the three final products to calculate the rate constant at the evolution stage of the three products (k3, ps−1) (Lan et al., 2021; Chen et al., 2018; Rom et al., 2011).
At different temperatures, the asymptotic quantities of the final product molecular numbers are shown in Table 7. As an example, the result of the curve fitting for the final products at 3000 K is shown in Fig. 17. Fig. 17 shows that the fitted curves of H2O, N2 and CO2 are in good agreement with the simulation results. As the temperature increases, the rate constant value of the final product becomes larger, which means that the formation rate of the final product is accelerated with the rise in temperature. Numerical analysis of the rate constants shows that among the three main final products, CO2 has the fastest generation rate and N2 has the slowest generation rate. The formation of CO2 is more affected by temperature than H2O and N2. The rate constants of some reaction paths at different temperatures are shown in Table 8. It can be seen from Table 8 that the rate constant of decomposition of H2O and HNO2 increases with the increasing temperature. High temperature causes decomposition to occur faster, resulting in an increase in the number of reactions for the final product H2O and a decrease in the number of reactions for the intermediate product HNO2.
| Fragment | H2O | N2 | CO2 | |
|---|---|---|---|---|
| 2000 K | C∞ | 257 | 123 | 51 |
| ti/(ps) | 1.375 | 1.725 | 1.85 | |
| k3/(ps−1) | 0.0100 | 0.0079 | 0.0156 | |
| R2 | 0.97 | 0.99 | 0.94 | |
| 2500 K | C∞ | 265 | 124 | 41 |
| ti/(ps) | 1.35 | 1.575 | 1.275 | |
| k3/(ps−1) | 0.0423 | 0.0244 | 0.0974 | |
| R2 | 0.98 | 0.99 | 0.93 | |
| 3000 K | C∞ | 296 | 139 | 26 |
| ti/(ps) | 0.95 | 1.95 | 0.825 | |
| k3/(ps−1) | 0.26 | 0.0459 | 0.0591 | |
| R2 | 0.63 | 0.97 | 0.93 | |

- Molecular numbers of H2O, N2 and CO2 changing with time (solid line) and corresponding fitting curves (dash lines) at 3000 K.
| Reaction path | T/K | Rate constant (k) /(cm3·mol−1·s−1) | Number of reactions |
|---|---|---|---|
| H + OH → H2O | 2000 | 8.3 × 1016 | 808 |
| 2500 | 4.9 × 1016 | 2811 | |
| 3000 | 2.4 × 1016 | 8659 | |
| H2O → H + OH | 2000 | 2.7 × 109 | 734 |
| 2500 | 7.0 × 109 | 2599 | |
| 3000 | 1.8 × 1010 | 8122 | |
| HNO2 → NO + OH | 2000 | 3.1 × 1011 | 345 |
| 2500 | 6.7 × 1011 | 297 | |
| 3000 | 1.2 × 1012 | 210 | |
| NO + OH → HNO2 | 2000 | 1.5 × 1015 | 284 |
| 2500 | 8.7 × 1014 | 220 | |
| 3000 | 3.9 × 1014 | 138 |
3.5 Thermal decomposition mechanism of BSX
According to the results of experiments and simulations, the final decomposition products of BSX are CH2O, CO2, CO, H2O and N2. Combining the main intermediate products in the decomposition process and the number of times of each reaction, the most likely thermal decomposition mechanism of BSX is obtained: BSX → C8H14N5O8 + NO2 → C5H9N3O4 + C4H7N4O6 + C4H7NO2 + C3H5N2O4 → C5H9N2O2 + C3H5NO2 + C2H3O2 + C2H3O + CH2O + CH2N + NO2 + H + … → C2H3O2 + C2H3O + CH2O + CO2 + CO + H2O + HNO2 + N2O2 + NO2 + NO + H + OH + … → CH2O + CO2 + CO + H2O + N2 + … Scheme 4 shows the thermal decomposition mechanism of BSX.
The thermal decomposition mechanism of BSX.
4 Conclusion
The thermal decomposition temperature, gaseous products and thermal decomposition mechanism of BSX were studied by TG-DSC, TG-MS, TG-FTIR and ReaxFF MD simulation. According to the test results of TG-DSC, the decomposition activation energy of BSX was calculated: E = 161 ± 2.6 kJ·mol−1. The gas products produced by the pyrolysis of BSX were characterized by TG-MS and TG-FTIR techniques. Combined with the simulation results, the pyrolysis products of BSX were mainly CH2O, CO2, CO, H2O and N2. The possible thermal decomposition pathways of BSX were analyzed according to the possible reactions during the pyrolysis process and the sequence of the reactions. The reaction rate constants of BSX at each stage were calculated. The study found that the decomposition of BSX and the formation of final products were greatly affected by temperature. High temperature could promote the decomposition of BSX and the formation of final products.
CRediT authorship contribution statement
Ruxin Zhang: Data curation, Formal analysis, Methodology, Software, Writing – original draft. Liang Qin: Investigation, Methodology, Resources. Hongping Su: Investigation, Resources, Validation. Luting Wang: Investigation, Methodology, Validation. Xiaoli Duan: Conceptualization, Data curation, Resources. Lizhen Chen: Resources, Supervision, Writing – review & editing. Jianlong Wang: Conceptualization, Writing – review & editing.
Acknowledgement
The authors are grateful for the support of the Postgraduate Innovation Project of Shanxi Province (NO. 2022Y580).
Declaration of Competing Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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