The supporting information for the article "Perovskite Single Crystals by Vacuum Evaporation Crystallization" provides detailed experimental data and supplementary figures to support the main findings. The key points include: 1. **Equation S1**: The Clausius-Clapeyron equation is used to determine the temperature dependence of the saturated pressure of a fluid along the liquid-vapor coexistence curve. The equation is derived from the integration of the Clapeyron equation for vaporization under specific assumptions, such as the negligible volume of the liquid phase and the ideal gas behavior of the vapor. 2. **Supplementary Figures**: - Figure S1 shows the temperature-dependent solubility of MAPbBr3 in DMF. - Figure S2 and S3 illustrate the temperature-dependent and pressure-dependent evaporation rates of DMF and a 1 M MAPbBr3 solution, respectively. - Figure S3 includes photographs of MAPbBr3 single crystal growth with varying solvent evaporation rates. - Figures S4 to S7 provide FTIR spectra, XRD scans, and elemental compositions of different perovskite single crystals. - Figure S8 presents PL decay times of VEC-MAPbBr3 and HT-MAPbBr3 single crystals on different crystalline planes and under different excitations. - Figure S9 shows the performance metrics of MAPbBr3 single crystals with different growth methods. 3. **Supplementary Tables**: - Table S1 provides detailed experimental data on the evaporation rate of MAPbBr3 solution at various temperatures and pressures. - Table S2 lists the sizes of MHP single crystals. - Table S3 details the growth processes for each type of MHP single crystal. - Table S4 includes FWHM values and calculated lattice strain for VEC-MAPbBr3 and HT-MAPbBr3 single crystals. - Table S5 reports trap density and carrier mobility of MAPbBr3 single crystals with different thicknesses. - Table S6 provides performance metrics of MAPbBr3 single crystals with different growth methods. The supporting information also includes references to relevant literature and additional experimental details to enhance the understanding of the perovskite single crystal growth process.The supporting information for the article "Perovskite Single Crystals by Vacuum Evaporation Crystallization" provides detailed experimental data and supplementary figures to support the main findings. The key points include: 1. **Equation S1**: The Clausius-Clapeyron equation is used to determine the temperature dependence of the saturated pressure of a fluid along the liquid-vapor coexistence curve. The equation is derived from the integration of the Clapeyron equation for vaporization under specific assumptions, such as the negligible volume of the liquid phase and the ideal gas behavior of the vapor. 2. **Supplementary Figures**: - Figure S1 shows the temperature-dependent solubility of MAPbBr3 in DMF. - Figure S2 and S3 illustrate the temperature-dependent and pressure-dependent evaporation rates of DMF and a 1 M MAPbBr3 solution, respectively. - Figure S3 includes photographs of MAPbBr3 single crystal growth with varying solvent evaporation rates. - Figures S4 to S7 provide FTIR spectra, XRD scans, and elemental compositions of different perovskite single crystals. - Figure S8 presents PL decay times of VEC-MAPbBr3 and HT-MAPbBr3 single crystals on different crystalline planes and under different excitations. - Figure S9 shows the performance metrics of MAPbBr3 single crystals with different growth methods. 3. **Supplementary Tables**: - Table S1 provides detailed experimental data on the evaporation rate of MAPbBr3 solution at various temperatures and pressures. - Table S2 lists the sizes of MHP single crystals. - Table S3 details the growth processes for each type of MHP single crystal. - Table S4 includes FWHM values and calculated lattice strain for VEC-MAPbBr3 and HT-MAPbBr3 single crystals. - Table S5 reports trap density and carrier mobility of MAPbBr3 single crystals with different thicknesses. - Table S6 provides performance metrics of MAPbBr3 single crystals with different growth methods. The supporting information also includes references to relevant literature and additional experimental details to enhance the understanding of the perovskite single crystal growth process.