# Fabrication of Nanoparticle-Stacked 1,1-Diamino-2,2-Dinitroethylene (FOX-7) Microspheres with Increased Thermal Stability

Authors: Yuanping Zhang; Conghua Hou; Xinlei Jia; Jinyu Wang; Yingxin Tan
Journal: Journal of Nanomaterials
 (2019)

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## Abstract

Nanoparticle-stacked 1,1-diamino-2,2-dinitroethylene (FOX-7) microspheres were successfully prepared by spray-drying, and rod-shaped FOX-7 was obtained by the solvent/nonsolvent method for comparison. The microstructure features of samples were characterized using scanning electron microscopy (SEM) and powder X-ray diffraction (XRD), and the thermal properties were also investigated by differential scanning calorimetry (DSC). From the SEM analysis, the particle size of the rod-shaped FOX-7 is about 10μm, whereas FOX-7 microspheres having a particle size ranging from 1 to 5 μm are formed by stacking nanoparticles with size of 100-250 nm. The crystal form of the samples prepared by the two methods did not change. The thermal performance test results showed that the rd-shaped FOX-7 had no significant change compared with the raw FOX-7, while the nanoparticle-stacked FOX-7 microspheres had higher thermal stability.


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## Body

## 1. Introduction

With the development of modern weapons and ammunition, there is an increasing demand for the performance of explosives, from the pursuit of high-energy elemental explosives to the high-energy-insensitive new explosives. Therefore, many researchers are committed to developing more powerful, safer, and more environmentally friendly energy materials. 1,1-Diamino-2,2-dinitroethylene, called FOX-7 or DADNE, is a high-energy-insensitive explosive due to the molecular structure of hydrogen bonds within and between molecules [1]. It has aroused the interest of scientific researchers since it was developed in 1998 [2]. A large number of previous studies have shown that FOX-7 has excellent comprehensive performance such as low impact sensitivity and friction sensitivity, high energy density, and detonation velocity and is considered as a substitute for RDX used in the military industry [3–7].Since energetic materials are metastable materials, nanocrystallization can effectively improve the mechanical sensitivity and reaction rate, thereby improving the safety, energy output level, and damage capacity of the explosive [8–10]. Therefore, more and more researchers are devoting themselves to the preparation of nanoexplosives such as 2,4,6,8,10,12-hexanitro-2,4,6,8,10,12-hexaazawurtzitane (CL-20) [11, 12], 1,3,5,7-tetranitro-1,3,5,7-tetrazocane (HMX) [13, 14], 1,3,5-trinitro-1,3,5-triazinane (RDX) [15], 3-nitro-1,2,4-triazol-3-one (NTO) [16], and 2,6-diamino-3,5-dinitropyrazine-1-oxide (LLM-105) [17] by various methods. Of course, nanosized FOX-7 was also included. In 2010, FOX-7 quasi-three-dimensional (3D) grids of one-dimensional nanostructures were synthesized via a spray-freeze-drying technique by Huang et al. [18]. The results showed that the reduction in the average particle size of the FOX-7 grid structure leads to lower decomposition temperature and higher decomposition rate. Cai et al. [19] prepared a novel FOX-7 nanocrystal by embedding it in mesoporous carbon FDU-15, which demonstrated that FOX-7 nanocrystal sensitivity was closely related to the thermal stability and mechanical stability of FDU-15. Gao et al. [20] successfully prepared nano-FOX-7 explosive particles by an ultrasonic spray-assisted electrostatic adsorption method in 2014, which has fewer lattice defects and lower internal stress. These explorations implied that the performance of ultrafine FOX-7 has been improved. Therefore, it is of great significance to study the nanosized FOX-7.Spray-drying is a facile, inexpensive, and scalable technique that has been extensively used in the preparation of microsized spherical material [21]. In this paper, we have prepared nanoparticle-stacked FOX-7 microspheres by spray-drying for the first time. Meanwhile, rod-shaped FOX-7 was obtained by the solvent/nonsolvent method for comparison. The crystal morphology, structure, and thermal properties of samples were systematically investigated in detail.


## 2. Materials and Methods

### 2.1. Materials

FOX-7, provided by Xi’an Institute of Modern Chemistry, and the purity was higher than 99.5%. Acetone was obtained by Tianjin Tianda Chemical Co. Ltd. (Tianjin city, P.R. China). Pure water was provided by pure water supply of Taiyuan Iron and Steel Co. Ltd.


### 2.2. Sample Preparation

#### 2.2.1. Preparation of FOX-7 Particles by the Solvent/Nonsolvent Method

About 0.5 g of raw FOX-7 was dissolved completely in 80 mL of acetone (solvent) under ultrasonic dispersion at 40°C and sprayed to 1000 mL water (nonsolvent) under stirring at a certain speed using a spraying device to recrystallize the FOX-7 crystal. After suction filtration and freeze-drying, the target sample is obtained, marked as sample 1.


#### 2.2.2. Preparation of Nanoparticle-Stacked FOX-7 Microspheres by Spray-Dying

In a typical experiment, 0.5 g FOX-7 and 80 mL acetone were added to a 100 mL beaker together. Then, the mixture system was placed in a 45°C water bath and stirred until completely dissolved. Next, the solution was pumped into a small spray-drying chamber at a flow rate of 80 mL/min. The temperatures of inlet and outlet dry gas (N2) were set as 70°C and 60°C, respectively. The spray gas flow rate was 2.8 m3/min. Finally, the products were separated from the drying gas with a cyclone separator and collected in an electrically grounded glass collection vessel. This product is marked as sample 2. The schematic diagram of the spray-drying device is shown in Figure 1.Figure 1
Schematic diagram of the spray-drying device.


### 2.3. Characterization

The morphology and size distribution of raw FOX-7 and as-prepared FOX-7 particles were examined using a MIRA3 LMH scanning electron microscope (Tescan, Czech Republic). The as-obtained samples were dispersed on conductive carbon adhesive tape to attach to a SEM stub and then gold-coated for SEM investigation. Power X-ray diffraction (Dandong Haoyuan Corporation, Liaoning, China) was used to visualize the changes in the crystal structure of the samples. PXRD patterns were recorded using a Bruker D8 Advance diffractometer at a voltage of 40 kV and a current of 30 mA using Cu Kα radiation at λ=1.5418Å. The thermal properties were characterized by DSC Q20P (TA Instruments). The DSC conditions used are as follows: sample mass: 0.7 mg; heating rate: 5, 10, 15, and 20 K/min; and nitrogen atmosphere under the pressure of 0.1 MPa. The sample size was tested by a QICPIC dynamic particle analyzer (Sympatec Co. Ltd., Germany), and its working environment is 5~35°C, the relative humidity is less than 85%, the light source type is He-Ne laser, the power is 2.0 mW, and the wavelength is 0.6328 μm.


## 2.1. Materials

FOX-7, provided by Xi’an Institute of Modern Chemistry, and the purity was higher than 99.5%. Acetone was obtained by Tianjin Tianda Chemical Co. Ltd. (Tianjin city, P.R. China). Pure water was provided by pure water supply of Taiyuan Iron and Steel Co. Ltd.


## 2.2. Sample Preparation

### 2.2.1. Preparation of FOX-7 Particles by the Solvent/Nonsolvent Method

About 0.5 g of raw FOX-7 was dissolved completely in 80 mL of acetone (solvent) under ultrasonic dispersion at 40°C and sprayed to 1000 mL water (nonsolvent) under stirring at a certain speed using a spraying device to recrystallize the FOX-7 crystal. After suction filtration and freeze-drying, the target sample is obtained, marked as sample 1.


### 2.2.2. Preparation of Nanoparticle-Stacked FOX-7 Microspheres by Spray-Dying

In a typical experiment, 0.5 g FOX-7 and 80 mL acetone were added to a 100 mL beaker together. Then, the mixture system was placed in a 45°C water bath and stirred until completely dissolved. Next, the solution was pumped into a small spray-drying chamber at a flow rate of 80 mL/min. The temperatures of inlet and outlet dry gas (N2) were set as 70°C and 60°C, respectively. The spray gas flow rate was 2.8 m3/min. Finally, the products were separated from the drying gas with a cyclone separator and collected in an electrically grounded glass collection vessel. This product is marked as sample 2. The schematic diagram of the spray-drying device is shown in Figure 1.Figure 1
Schematic diagram of the spray-drying device.


## 2.2.1. Preparation of FOX-7 Particles by the Solvent/Nonsolvent Method

About 0.5 g of raw FOX-7 was dissolved completely in 80 mL of acetone (solvent) under ultrasonic dispersion at 40°C and sprayed to 1000 mL water (nonsolvent) under stirring at a certain speed using a spraying device to recrystallize the FOX-7 crystal. After suction filtration and freeze-drying, the target sample is obtained, marked as sample 1.


## 2.2.2. Preparation of Nanoparticle-Stacked FOX-7 Microspheres by Spray-Dying

In a typical experiment, 0.5 g FOX-7 and 80 mL acetone were added to a 100 mL beaker together. Then, the mixture system was placed in a 45°C water bath and stirred until completely dissolved. Next, the solution was pumped into a small spray-drying chamber at a flow rate of 80 mL/min. The temperatures of inlet and outlet dry gas (N2) were set as 70°C and 60°C, respectively. The spray gas flow rate was 2.8 m3/min. Finally, the products were separated from the drying gas with a cyclone separator and collected in an electrically grounded glass collection vessel. This product is marked as sample 2. The schematic diagram of the spray-drying device is shown in Figure 1.Figure 1
Schematic diagram of the spray-drying device.


## 2.3. Characterization

The morphology and size distribution of raw FOX-7 and as-prepared FOX-7 particles were examined using a MIRA3 LMH scanning electron microscope (Tescan, Czech Republic). The as-obtained samples were dispersed on conductive carbon adhesive tape to attach to a SEM stub and then gold-coated for SEM investigation. Power X-ray diffraction (Dandong Haoyuan Corporation, Liaoning, China) was used to visualize the changes in the crystal structure of the samples. PXRD patterns were recorded using a Bruker D8 Advance diffractometer at a voltage of 40 kV and a current of 30 mA using Cu Kα radiation at λ=1.5418Å. The thermal properties were characterized by DSC Q20P (TA Instruments). The DSC conditions used are as follows: sample mass: 0.7 mg; heating rate: 5, 10, 15, and 20 K/min; and nitrogen atmosphere under the pressure of 0.1 MPa. The sample size was tested by a QICPIC dynamic particle analyzer (Sympatec Co. Ltd., Germany), and its working environment is 5~35°C, the relative humidity is less than 85%, the light source type is He-Ne laser, the power is 2.0 mW, and the wavelength is 0.6328 μm.


## 3. Results and Discussion

### 3.1. Morphologies of the FOX-7 Typical Microspheres

The morphology of raw FOX-7 and as-prepared FOX-7 particles was observed by SEM, as shown in Figure2. From Figure 2(a), we can see that the raw FOX-7 has an irregular block and has a distinct layered structure, which is consistent with that described in ref. [1]. The particle size distribution is approximately 20 μm, and there are cracks on the surface of the crystal. The FOX-7 samples modified by two methods have obviously improved compared with raw materials. It can be seen from Figure 2(b) that the sample 1 prepared by the solvent/nonsolvent method had a rod-like structure and a large particle size of about 10 μm and the surface defects of the crystal decrease. The microscopic morphology of FOX-7 prepared by the spray-drying method was the submicrosphere having a significantly reduced particle with the grain diameter ranging from 1 μm to 5 μm. The particle distribution curves of the samples are shown in Figure 3. It is clear that the median particle size of sample 1 and sample 2 are 10 and 2 μm, respectively, confirming the results of the SEM test.Figure 2
SEM image of raw FOX-7 (a), sample 1 (b), and sample 2 (c, d).
(a)
(b)
(c)
(d)Figure 3
Particle size and size distribution of sample 1 (a) and sample 2 (b).
(a)
(b)It can be clearly observed from Figure2(d) that the FOX-7 microspheres are solid microspheres which are formed by stacking small nanoparticles with the grain diameter ranging from 100 nm to 250 nm. It was found that large crystals were obtained after rapid self-assembly. The formation process is explained as follows: the FOX-7 solution is formed into a mist-like droplet by an atomizer and then enters into a drying chamber of a low-pressure hot nitrogen gas, and the droplets are moved to the collecting device under hot air and pressure conditions. As the solvent evaporates rapidly, the tiny droplets become a supersaturated solution. Then, the nanoparticles are formed by rapid nucleation and agglomeration to form microspheres. The schematic illustration of the formation process of sample 1 and sample 2 are shown in Figure 4.Figure 4
Schematic illustration of the formation of sample 1 and sample 2.


### 3.2. Crystal Structure of Samples

XRD measurements were carried out to identify the crystalline phase. Figure5 shows the XRD patterns of raw FOX-7 and samples prepared. The characteristic diffraction peaks (1 1 1), (0 2 0), and (0 2 1) of raw FOX-7 appeared at 2θ of 19.846°, 26.604°, and 27.74°, respectively, as marked in Figure 5. It can be also seen that the characteristic diffraction peaks of sample 1 and sample 2 are consistent with those of the raw FOX-7, indicating that during the two processes of solvent/nonsolvent and spray-drying, the crystal structure did not change and good crystallinity was maintained. The peak intensity of the refined samples becomes weaker due to the decrease in grain size and serious X-ray dispersion.Figure 5
XRD patterns of raw FOX-7, sample 1, and sample 2.Based on the Debye-Scherrer equation and diffraction peak at2θ=26.604°, the average crystalline size was calculated as 26.55 nm.
(1)D=kλβcosθ,where D is the grain diameter perpendicular to the crystal plane (nm), k is the Scherrer constant (usually 0.89), λ is the incident X-ray wavelength (λCu=0.154059nm), β is the peak width of the diffraction peak at half max (rad), and θ is the angle of the diffraction peak.


### 3.3. Thermal Performance

Thermal stability is a key performance in the field of energetic materials. The thermal performance of raw FOX-7, sample 1, and sample 2 as-prepared were tested using differential scanning calorimetry. The DSC curves of raw FOX-7, sample 1, and sample 2 with the linear heating rate of 5, 10, 15, and 20°C/min were recorded in a nitrogen atmosphere (Figure6). As can be seen from Figure 6, there are two decomposition exothermic peaks in the DSC curves of raw FOX-7 and FOX-7 as-obtained, indicating that the decomposition process can be divided into two stages. The first stage is the low-temperature decomposition stage, in which two amino hydrogens and one nitro oxygen are removed from the adjacent FOX-7 molecule to form a water molecule, accompanied by the condensation reaction of carbon-carbon double bonds. The second stage is the high-temperature decomposition stage, mainly due to the fracture of carbon skeleton in the FOX-7 molecule [7]. Under the same heating rate, the first decomposition peak temperature of the sample prepared by the solvent/nonsolvent method was delayed by 1-2°C from the peak temperature of the raw material, and that of sample 2 obtained via spray-drying was postponed at about 20°C. It shows that as the particle size decreases, the peak temperature of the low-temperature decomposition is postponed, which is similar to the literature research results [18–20]. This is because the FOX-7 particles are small and the internal stress is also small, and the internal stress generated by the resulting product is insufficient to cause the FOX-7 particles to rupture to form smaller particles [22]. Therefore, the particles begin to decompose when the temperature rises to a certain extent, resulting in a delay in the exothermic peak of the first stage. At different heating rates, the exothermic peak of sample 2 was 285~288°C, and the high-low-temperature liberation heat range was significantly smaller than that of sample 1 and raw materials, indicating that sample 2 was more concentrated in heat release and had higher energy release efficiency. The second decomposition peak temperature of FOX-7 at different heating rates did not move regularly, which was related to the specific thermal decomposition characteristics of FOX-7. It may be due to mechanical changes related to thermal redistribution from the second peak to the first peak, or to the thermal runaway, where the sample temperature was much higher than the measured temperature.Figure 6
DSC curves of raw FOX-7 (a), sample 1 (b), and sample 2 (c).
(a)
(b)
(c)Furthermore, in order to evaluate its thermal performance, the kinetic and thermodynamic parameters were further performed. Kissinger’s method [23], Flynn-Wall-Ozawa’s method [24], and Starink’s method [25] were enlisted to calculate the apparent activation energy (Ea) and preexponential factor (A). The calculation process is consistent with that in ref. [26]. The data are shown in Table 1. The critical temperature of thermal explosion (Tb), the value of the peak temperature corresponding to β→0TP0, entropy of activation (ΔS≠), enthalpy of activation (ΔH≠), and free energy of activation (ΔG≠) of the samples were then calculated based on formulas 2–6 [27] and are listed in Table 2.
(2)Tp=Tp0+bβi+cβi2+dβi3,(3)Tb=Ea−Ea2−4REaTp02R,(4)ΔH≠=Ek−RTp0,(5)AkexpEkRT=kBTp0hexp−ΔG≠RTp0,(6)ΔG≠=ΔH≠−Tp0ΔS≠,where βi is the heating rate in °C/min; Tp is the peak temperature in the DSC trace at βi in K; R is the universal gas constant (8.318 J K-1 mol-1); A is the preexponential factor in s-1; Ea is the apparent activation energy in kJ mol-1; k is the rate constant in s-1; Tp0 is the peak temperature when βi is zero in K; b, c, and d are constants; Tb is the critical explosion temperature in °C; kB is Boltzmann constant (1.381×10−23JK−1), h is the Plank constant (6.626×10−34J∙s); ΔG≠ is the free energy of activation in kJ mol-1; ΔH≠ is the enthalpy of activation in kJ mol-1; and ΔS≠ is the entropy of activation in J mol-1.Table 1
Thermal decomposition kinetic parameters of samples.
Kissinger
Ozawa
Starink
Mean activation energy (kJ/mol)
Ea (kJ/mol)
lgA (s-1)
Ea (kJ/mol)
Ea (kJ/mol)
FOX-7
285.47
29.46
293.92
286.32
288.57
Sample 1
211.14
18.67
219.60
211.99
214.24
Sample 2
206.67
17.27
215.50
207.56
209.91Table 2
Thermodynamic property data of the samples.
Tb (°C)
Tp (°C)
ΔS≠ (J/mol)
ΔH≠ (kJ/mol)
ΔG≠ (kJ/mol)
FOX-7
223.24
221.79
306.53
281.36
129.64
Sample 1
221.77
220.34
100.00
207.04
157.69
Sample 2
241.88
240.18
72.87
202.40
165.00The apparent activation energies of samples 1 and 2 were reduced by 74.33 and 78.66 kJ/mol, respectively, compared to the raw material FOX-7. Figure7 shows the reaction kinetic fit curve of the raw material FOX-7 and samples 1 and 2 by three methods. It can be found that the linear correlation coefficients of the fitting straight line are greater than 0.99, implying that the measured data is accurate and reliable. The thermal explosion critical temperature of sample 1 was lowered by 1.47°C, while that of sample 2 was increased by 18.64°C, which can be concluded that microsphere FOX-7 had better thermal stability.Figure 7
Reaction kinetics fit curve of the raw material FOX-7 (a) and samples 1 (b) and 2 (c) by the Kissinger method, Ozawa method, and Starink method.
(a)
(b)
(c)


## 3.1. Morphologies of the FOX-7 Typical Microspheres

The morphology of raw FOX-7 and as-prepared FOX-7 particles was observed by SEM, as shown in Figure2. From Figure 2(a), we can see that the raw FOX-7 has an irregular block and has a distinct layered structure, which is consistent with that described in ref. [1]. The particle size distribution is approximately 20 μm, and there are cracks on the surface of the crystal. The FOX-7 samples modified by two methods have obviously improved compared with raw materials. It can be seen from Figure 2(b) that the sample 1 prepared by the solvent/nonsolvent method had a rod-like structure and a large particle size of about 10 μm and the surface defects of the crystal decrease. The microscopic morphology of FOX-7 prepared by the spray-drying method was the submicrosphere having a significantly reduced particle with the grain diameter ranging from 1 μm to 5 μm. The particle distribution curves of the samples are shown in Figure 3. It is clear that the median particle size of sample 1 and sample 2 are 10 and 2 μm, respectively, confirming the results of the SEM test.Figure 2
SEM image of raw FOX-7 (a), sample 1 (b), and sample 2 (c, d).
(a)
(b)
(c)
(d)Figure 3
Particle size and size distribution of sample 1 (a) and sample 2 (b).
(a)
(b)It can be clearly observed from Figure2(d) that the FOX-7 microspheres are solid microspheres which are formed by stacking small nanoparticles with the grain diameter ranging from 100 nm to 250 nm. It was found that large crystals were obtained after rapid self-assembly. The formation process is explained as follows: the FOX-7 solution is formed into a mist-like droplet by an atomizer and then enters into a drying chamber of a low-pressure hot nitrogen gas, and the droplets are moved to the collecting device under hot air and pressure conditions. As the solvent evaporates rapidly, the tiny droplets become a supersaturated solution. Then, the nanoparticles are formed by rapid nucleation and agglomeration to form microspheres. The schematic illustration of the formation process of sample 1 and sample 2 are shown in Figure 4.Figure 4
Schematic illustration of the formation of sample 1 and sample 2.


## 3.2. Crystal Structure of Samples

XRD measurements were carried out to identify the crystalline phase. Figure5 shows the XRD patterns of raw FOX-7 and samples prepared. The characteristic diffraction peaks (1 1 1), (0 2 0), and (0 2 1) of raw FOX-7 appeared at 2θ of 19.846°, 26.604°, and 27.74°, respectively, as marked in Figure 5. It can be also seen that the characteristic diffraction peaks of sample 1 and sample 2 are consistent with those of the raw FOX-7, indicating that during the two processes of solvent/nonsolvent and spray-drying, the crystal structure did not change and good crystallinity was maintained. The peak intensity of the refined samples becomes weaker due to the decrease in grain size and serious X-ray dispersion.Figure 5
XRD patterns of raw FOX-7, sample 1, and sample 2.Based on the Debye-Scherrer equation and diffraction peak at2θ=26.604°, the average crystalline size was calculated as 26.55 nm.
(1)D=kλβcosθ,where D is the grain diameter perpendicular to the crystal plane (nm), k is the Scherrer constant (usually 0.89), λ is the incident X-ray wavelength (λCu=0.154059nm), β is the peak width of the diffraction peak at half max (rad), and θ is the angle of the diffraction peak.


## 3.3. Thermal Performance

Thermal stability is a key performance in the field of energetic materials. The thermal performance of raw FOX-7, sample 1, and sample 2 as-prepared were tested using differential scanning calorimetry. The DSC curves of raw FOX-7, sample 1, and sample 2 with the linear heating rate of 5, 10, 15, and 20°C/min were recorded in a nitrogen atmosphere (Figure6). As can be seen from Figure 6, there are two decomposition exothermic peaks in the DSC curves of raw FOX-7 and FOX-7 as-obtained, indicating that the decomposition process can be divided into two stages. The first stage is the low-temperature decomposition stage, in which two amino hydrogens and one nitro oxygen are removed from the adjacent FOX-7 molecule to form a water molecule, accompanied by the condensation reaction of carbon-carbon double bonds. The second stage is the high-temperature decomposition stage, mainly due to the fracture of carbon skeleton in the FOX-7 molecule [7]. Under the same heating rate, the first decomposition peak temperature of the sample prepared by the solvent/nonsolvent method was delayed by 1-2°C from the peak temperature of the raw material, and that of sample 2 obtained via spray-drying was postponed at about 20°C. It shows that as the particle size decreases, the peak temperature of the low-temperature decomposition is postponed, which is similar to the literature research results [18–20]. This is because the FOX-7 particles are small and the internal stress is also small, and the internal stress generated by the resulting product is insufficient to cause the FOX-7 particles to rupture to form smaller particles [22]. Therefore, the particles begin to decompose when the temperature rises to a certain extent, resulting in a delay in the exothermic peak of the first stage. At different heating rates, the exothermic peak of sample 2 was 285~288°C, and the high-low-temperature liberation heat range was significantly smaller than that of sample 1 and raw materials, indicating that sample 2 was more concentrated in heat release and had higher energy release efficiency. The second decomposition peak temperature of FOX-7 at different heating rates did not move regularly, which was related to the specific thermal decomposition characteristics of FOX-7. It may be due to mechanical changes related to thermal redistribution from the second peak to the first peak, or to the thermal runaway, where the sample temperature was much higher than the measured temperature.Figure 6
DSC curves of raw FOX-7 (a), sample 1 (b), and sample 2 (c).
(a)
(b)
(c)Furthermore, in order to evaluate its thermal performance, the kinetic and thermodynamic parameters were further performed. Kissinger’s method [23], Flynn-Wall-Ozawa’s method [24], and Starink’s method [25] were enlisted to calculate the apparent activation energy (Ea) and preexponential factor (A). The calculation process is consistent with that in ref. [26]. The data are shown in Table 1. The critical temperature of thermal explosion (Tb), the value of the peak temperature corresponding to β→0TP0, entropy of activation (ΔS≠), enthalpy of activation (ΔH≠), and free energy of activation (ΔG≠) of the samples were then calculated based on formulas 2–6 [27] and are listed in Table 2.
(2)Tp=Tp0+bβi+cβi2+dβi3,(3)Tb=Ea−Ea2−4REaTp02R,(4)ΔH≠=Ek−RTp0,(5)AkexpEkRT=kBTp0hexp−ΔG≠RTp0,(6)ΔG≠=ΔH≠−Tp0ΔS≠,where βi is the heating rate in °C/min; Tp is the peak temperature in the DSC trace at βi in K; R is the universal gas constant (8.318 J K-1 mol-1); A is the preexponential factor in s-1; Ea is the apparent activation energy in kJ mol-1; k is the rate constant in s-1; Tp0 is the peak temperature when βi is zero in K; b, c, and d are constants; Tb is the critical explosion temperature in °C; kB is Boltzmann constant (1.381×10−23JK−1), h is the Plank constant (6.626×10−34J∙s); ΔG≠ is the free energy of activation in kJ mol-1; ΔH≠ is the enthalpy of activation in kJ mol-1; and ΔS≠ is the entropy of activation in J mol-1.Table 1
Thermal decomposition kinetic parameters of samples.
Kissinger
Ozawa
Starink
Mean activation energy (kJ/mol)
Ea (kJ/mol)
lgA (s-1)
Ea (kJ/mol)
Ea (kJ/mol)
FOX-7
285.47
29.46
293.92
286.32
288.57
Sample 1
211.14
18.67
219.60
211.99
214.24
Sample 2
206.67
17.27
215.50
207.56
209.91Table 2
Thermodynamic property data of the samples.
Tb (°C)
Tp (°C)
ΔS≠ (J/mol)
ΔH≠ (kJ/mol)
ΔG≠ (kJ/mol)
FOX-7
223.24
221.79
306.53
281.36
129.64
Sample 1
221.77
220.34
100.00
207.04
157.69
Sample 2
241.88
240.18
72.87
202.40
165.00The apparent activation energies of samples 1 and 2 were reduced by 74.33 and 78.66 kJ/mol, respectively, compared to the raw material FOX-7. Figure7 shows the reaction kinetic fit curve of the raw material FOX-7 and samples 1 and 2 by three methods. It can be found that the linear correlation coefficients of the fitting straight line are greater than 0.99, implying that the measured data is accurate and reliable. The thermal explosion critical temperature of sample 1 was lowered by 1.47°C, while that of sample 2 was increased by 18.64°C, which can be concluded that microsphere FOX-7 had better thermal stability.Figure 7
Reaction kinetics fit curve of the raw material FOX-7 (a) and samples 1 (b) and 2 (c) by the Kissinger method, Ozawa method, and Starink method.
(a)
(b)
(c)


## 4. Conclusion

Herein, the rod-shaped FOX-7 and microspheres FOX-7 were successfully prepared by the solvent/nonsolvent method and spray-drying method, respectively. Surprisingly, microspheres FOX-7 having a particle size ranging from 1 to 5μm are formed by stacking nanoparticles with size of 100-250 nm, which is obviously smaller than the raw material. In the two processes of preparing samples, the FOX-7 maintains the α-form. From the results of thermal analysis, the similar decomposition process indicates that sample 2 keeps better thermal stability, which may be highly desirable for microenergetic systems.



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*Source: 2981796-2019-05-14.xml*