Open Access Article
Min
Li
a,
Dandan
Han
*a,
Zheng
Lin
b,
Xiujuan
Qi
c,
Honglei
Xia
*b,
Zhao
Wang
a,
Qinghua
Zhang
*b and
Junbo
Gong
a
aState Key Laboratory of Chemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, People's Republic of China. E-mail: handandan@tju.edu.cn
bNational Key Laboratory of Solid Propulsion, School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China. E-mail: xia_honglei@nwpu.edu.cn; qinghuazhang@nwpu.edu.cn
cSchool of Chemistry and Chemical Engineering, Northwestern Polytechnical University, Xi'an 710129, People's Republic of China
First published on 10th November 2025
Perovskite solid solutions have aroused interest in energy applications, owing to the capability of fine-tuning and enhancing performance to surpass ternary perovskites. Their synthesis, however, is hard to control in solution due to the intricate self-assembly process wherein components crystallize in undetermined ratios. Herein, we present a facile approach to the controllable synthesis of perovskite solid solutions in aqueous solution and develop perovskite solid solutions as a novel class of energetic materials for the first time. Specifically, the composition control of perovskite solid solutions is achieved through thermodynamic equilibrium of reaction crystallization in water, exhibiting a linear relationship with the natural logarithm of reactant concentrations. Based on Goldschmidt's rule, we design a general formula of energetic perovskite solid solutions as (H2dabco)(NH4)(1−x)Mx(ClO4)3, in which 0 < x < 1, H2dabco2+ refers to 1,4-diazabicyclo[2.2.2]octane-1,4-diium, and M is a quaternary ion. The as-synthesized (H2dabco)(NH4)(1−x)(Na)x(ClO4)3 exhibits exceptional thermal stability, outperforming its ternary perovskite prototypes, and the prepared (H2dabco)(NH4)(1−x)Agx(ClO4)3 manifests energy-safety optimization as elevated energy levels with improved mechanical sensitivity. This work not only exploits perovskite solid solutions as a novel class of energetic materials with promising properties but also provides a means for controllably synthesizing perovskite solid solutions for versatile advanced applications.
Perovskite solid solutions, composed of multiple cations or anions with variable stoichiometric ratios in isostructural perovskite structures,14–16 are capable of fine-tuning material properties such as phase transitions,17,18 mechanical properties,19 and thermal stability,20 showing great potential in outperforming ternary MPECs. However, they had not been developed for the application of EMs, owing to the nascent stage of MPECs and the paucity of appropriate synthesis methods. Conventional preparation of perovskite solid solutions includes solution-based methods,21 vapor deposition,22 and solid-state reactions.23–25 Since the processing requiring high temperatures or mechanical stimuli should be minimized for EMs, mild solution-based methods can serve as a potentially viable approach for preparing energetic perovskite solid solutions (EPSSs). However, the composition of solid solutions is hard to control since the self-assembly of solid solutions in aqueous solution is an intricate process involving thermodynamics and kinetics, during which multiple ions react with each other and form a crystalline solid with components in undetermined ratios.21,26
Herein, we report a facile route to synthesize EPSSs with controllable compositions via thermodynamic equilibrium during reaction crystallization in water (Scheme 1). Goldschmidt's rule is applied to design the formula of EPSSs with thermodynamic preference. The Goldschmidt tolerance factor t is a reliable index to predict a stable perovskite structure, defined as
, where rA, rB, and rX represent the radius of ions at the A, B, and X sites, respectively.27 It is generally thought that cubic perovskites can be formed in the range of 0.8 < t < 1, and t is equal to 1 for ideal stable cubic perovskites.28 Thus, the designed EEPSs with a general formula of (H2dabco)(NH4)(1−x)Mx(ClO4)3 (0 < x < 1), in which the M ion as a quaternary component makes the tolerance factor closer to 1 compared to DAP-4 (t = 0.964), can be synthesized by reaction crystallization of DAP-4 driven by thermodynamics.
![]() | ||
| Scheme 1 Schematic diagram of synthesizing (H2dabco)(NH4)(1−x)Mx(ClO4)3 perovskite solid solutions through reaction crystallization in water. | ||
Specifically, as shown in Scheme 1, first, DAP-4 was put into an aqueous solution of the water-soluble salt of M ions, in which the M salt was completely dissolved while DAP-4 remained incompletely dissolved at room temperature. Under heat, a homogenous aqueous solution with free organic and inorganic ions was obtained. Then, it was naturally cooled to room temperature and stirred for 24 h. The system reached its thermodynamic equilibrium and led to a stable composition in the crystalline product, achieving the controllable synthesis of EPSSs in aqueous solution.
To verify the crystal structure of the solid solutions, we synthesized single crystals through cooling crystallization, using the powder sample prepared with an equal ratio of DAP-4 and Na+ in water as the raw material. Then, the single-crystal structure of (H2dabco)(NH4)0.715Na0.285(ClO4)3 was obtained by SCXRD as listed in Table S1. As anticipated, the structure of (H2dabco)(NH4)0.715Na0.285(ClO4)3 is in a cubic crystal system with the space group of Pa
, isostructural to DAP-4; and the Na+ and the NH4+ ions occupy the same positions in the crystal structure (Fig. 1c). In addition, the content of Na in the single-crystal structure (1.52 wt%) is approximately consistent with that of the powder sample (1.43 wt% obtained by ICP-MS).
During the crystallization, the formation of (H2dabco)(NH4)(1−x)Nax(ClO4)3 can be considered as a series of reactions with variable stoichiometry as follows (0 < x < 1).
| (H2dabco)NH4(ClO4)3 + xNaCl → (H2dabco)(NH4)(1−x)Nax(ClO4)3 + xNH4Cl | (1) |
Indeed, the value of x not only indicates the composition of the perovskite solid solution but also represents the extent of reaction, reflecting changes in the concentrations of reactants and products. As shown in Fig. 2a, the molar ratio of Na+ and NH4+ ions in the final crystalline particles was inconsistent with the feeding ratio; in contrast, the value of x is linearly proportional to the natural logarithm of the initial concentration of Na+ (Fig. 2b). The driving force of both reaction and crystallization is the difference in the chemical potentials of reactants and products, and the chemical potential of the compound is linearly correlated with the natural logarithm of its concentration in solution according to thermodynamics. In this case, the initial concentration of NaCl directly manipulates the chemical potentials of reactants, modulates the thermodynamic driving force of reaction crystallization, and affects the reaction route, leading to varying stoichiometry. At last, the whole system reaches the thermodynamic equilibrium of both reaction and crystallization, where the Gibbs free energy of the system reaches a minimum, determining the crystalline composition of solid solutions. When the concentration of NaCl in water was the largest (about 6.34 mol L−1 for saturated NaCl at ambient temperature), x reached 0.583, indicating that the composition of (H2dabco)(NH4)(1−x)Nax(ClO4)3 solid solutions is thermodynamically preferred in the range of 0 < x ≤ 0.583.
Accordingly, the effective tolerance factor (teff) was calculated using the average radius at the B site for (H2dabco)(NH4)(1−x)Nax(ClO4)3 solid solutions, applying the following equations:29
![]() | (2) |
![]() | (3) |
As the solid solutions need to be thermodynamically preferred compared to DAP-4 to induce a thermodynamic driving force for reaction crystallization and Goldschmidt's rule can semi-empirically predict the thermodynamic stability of the cubic perovskite structure,28 we generalized a formula of EPSSs, i.e., (H2dabco)(NH4)(1−x)Mx(ClO4)3, where the M+ ion should have a smaller ion radius compared with NH4+ (1.67 Å),32 decreasing the average radius at the B site and making the value of teff reach 1 (Fig. 3). Moreover, (H2dabco)(NH4)(1−x)Mx(ClO4)3 should have a value of teff closer to 1 compared to both DAP-4 and (H2dabco)M(ClO4)3, ensuring its thermodynamic preference to enable reaction crystallization.
Given the radius of the Ag+ ion of 1.28 Å, another demonstration of EPSSs, (H2dabco)(NH4)(1−x)Agx(ClO4)3 solid solutions, was synthesized through similar reaction crystallization using water-soluble silver perchlorate (AgClO4) as the silver source (the information about the samples is detailed in Table S4). The Ag element was distributed uniformly in the crystalline particles (Fig. 4a), and the cubic perovskite structure was retained from DAP-4 (Fig. 4b and S1), demonstrating the successful synthesis of solid solutions. One single-crystal structure, (H2dabco)(NH4)0.91Ag0.09(ClO4)3, was obtained by SCXRD (Table S5), with Ag+ and NH4+ ions sharing the same B sites (Fig. 4c). Also, the composition of (H2dabco)(NH4)(1−x)Agx(ClO4)3 is controlled by the initial concentrations of AgClO4, yielding a linear fitting curve of x as a function of the natural logarithm of the initial concentration (R2 = 0.982) based on three solid solution samples (Fig. 4d). The curve is supposed to guide the synthesis of the (H2dabco)(NH4)(1−x)Agx(ClO4)3 with a target composition. For example, when the initial concentration of AgClO4 was designated as 0.249 mol L−1 according to the fitting curve aiming for x = 0.2, the product was identified as (H2dabco)(NH4)0.775Ag0.225(ClO4)3 by ICP-MS with a content of Ag that was close to the anticipated value (Fig. 4d).
Furthermore, the EPSSs exhibit intriguing properties compared to ternary MPECs (partly listed in Table 1, and the concerning properties of all involved samples are detailed in Table S7). For the (H2dabco)(NH4)(1−x)Nax(ClO4)3 solid solutions (0 < x ≤ 0.583), the thermal decomposition temperature increases by up to 12 °C with rising x and exceeds those of both DAP-1 and DAP-4, surpassing most of the reported MPECs (Fig. S2).
| Samples | Densityb [g cm−3] | T onset c [°C] | T p c [°C] | Friction sensitivityd [N] | Impact sensitivityd [J] |
|---|---|---|---|---|---|
| a The data of DAP-5 were from ref. 38, while other data were from this work. b The density was calculated based on PXRD data. c T onset and Tp are the onset temperature and peak temperature obtained at 10 K min−1 for the samples besides DAP-5. d The measurements of friction sensitivity and impact sensitivity were performed on a BAM friction tester and a standard BAM Fallhammer, respectively. | |||||
| (H2dabco)(NH4)(ClO4)3 [DAP-4] | 1.88 | 360.07 | 386.64 | 36 | >40 |
| (H2dabco)Na(ClO4)3 [DAP-1] | 2.05 | 373.28 | 391.70 | 48 | >40 |
| (H2dabco)(NH4)0.732Na0.268(ClO4)3 | 1.95 | 371.72 | 393.14 | 40 | >40 |
| (H2dabco)(NH4)0.483Na0.517(ClO4)3 | 1.97 | 377.98 | 399.95 | 48 | >40 |
| (H2dabco)(NH4)0.878Ag0.122(ClO4)3 | 2.02 | 347.20 | 383.82 | 14 | >40 |
| (H2dabco)(NH4)0.651Ag0.349(ClO4)3 | 2.14 | 309.45 | 380.27 | 12 | >40 |
| (H2dabco)Ag(ClO4)3 [DAP-5]a | 2.42a | 313.2a | 313.6a | ≤5a | 3a |
Specifically, as listed in Table 1, (H2dabco)(NH4)0.715Na0.268(ClO4)3 slightly elevates the peak temperature of decomposition by about 6.5 °C in comparison to DAP-4; and the increase in the peak temperature for (H2dabco)(NH4)0.483Na0.517(ClO4)3 reaches 13 °C compared to DAP-4 and 8 °C relative to DAP-1, with similar increases observed in the onset temperature. Performing thermal analysis,33,34 the apparent activation energy of the two solid solutions is lower than that of either DAP-1 or DAP-4, indicating the fast energy release during thermal decomposition (DSC curves at varied heating rates are shown in Fig. S3 and the calculated results are listed in Table S6). On the other hand, the free energy of activation (G≠) calculated for (H2dabco)(NH4)0.483Na0.517(ClO4)3 surpassed that of both DAP-1 and DAP-4 (Table S6), signifying its high energy barrier for thermal decomposition, resulting in exceptional thermal stability.35
As for (H2dabco)(NH4)(1−x)Agx(ClO4)3 solid solutions, the thermal behavior can outperform that of the ternary (H2dabco)Ag(ClO4)3 (DAP-5) as shown in Table 1 and Fig. S4. Notably, the (H2dabco)(NH4)(1−x)Agx(ClO4)3 solid solutions can boost the energy density compared to DAP-4 while with available processing safety as friction sensitivity between 12 and 20 N and impact sensitivity exceeding 40 J, in comparison to DAP-5, which is highly sensitive to mechanical stimulus with poor processability.36 Moreover, (H2dabco)(NH4)(1−x)Nax(ClO4)3 solid solutions had values of friction sensitivity between 32 and 48 N, approaching that of DAP-1 (48 N) and mostly higher than that of DAP-4 (36 N), less sensitive to the friction stimulus compared with DAP-4. In addition, all the prepared powder samples were insensitive to impact stimulus with a value of impact sensitivity of over 40 J, which may result from the effect of fine particles and good crystallinity with few defects.37,38
Also, the detonation performance of EPSSs was preliminarily evaluated through the measurements of constant-volume combustion energy and the Kamlet–Jacobs (K–J) equation.39,40 The calculation of detonation parameters, including detonation heat, velocity, and pressure, is detailed in the SI with the corresponding data listed in Tables S8–S12. Remarkably, the detonation parameters of (C6H14N2)(NH4)0.732Na0.268(ClO4)3 surpass those of both DAP-4 and DAP-1. (C6H14N2)(NH4)0.732Na0.268(ClO4)3 only contains a small amount of Na (1.43 wt%) and generates a similar content of gaseous products to DAP-4 during detonation, while its density, enthalpy of formation, and the average molar mass of gaseous products (due to the reduction of HCl and N2 gaseous products) are higher than those of DAP-4 in Table S11. Therefore, its overall detonation performance is superior to that of DAP-4 according to the K–J equation. Besides, the overall detonation performance of (C6H14N2)(NH4)0.483Na0.517(ClO4)3 is inferior to that of DAP-4 (Table S11). It may be due to its high content of Na, resulting in lower generation of gaseous products compared to DAP-4. As for (H2dabco)(NH4)0.878Ag0.122(ClO4)3 and (H2dabco)(NH4)0.651Ag0.349(ClO4)3 solid solutions, though their detonation heat and detonation velocity are not comparable to those of DAP-4, they exhibit excellent detonation pressure, which may result from their high density due to the incorporation of Ag. It can be concluded that EPSSs in certain compositions, for example, with a small amount of Na or Ag, which have a high density without significantly decreasing gaseous products, can potentially exhibit high detonation performance and surpass ternary MPECs.
The data supporting this article have been included in the main text and the supplementary information (SI). Supplementary information: Tables S1–S12, Fig. S1–S4, thermal analysis, and detonation performance. See DOI: https://doi.org/10.1039/d5sc05641a.
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