Composite microcrystals of the nitramines (NAs) RDX, HMX, BCHMX and CL-20 with electrically conductive polyaniline (PANi) are a charge transfer complexes in composite crystals (CACs). The activation energies of thermolysis, Ea, of the pure NAs and their PANi-composites were determined using the Kissinger method, and decomposition processes are discussed. Except for the RDX/PANi CAC, all the other CACs show higher Ea values for decomposition compared to their pure NA counterparts. For all CACs, relationships are specified between the Ea values, on the one hand, and the squares of the detonation velocities, enthalpies of formation, spark energy and impact sensitivities, on the other. The relationships between their low-temperature heats of decomposition, ΔH, from DSC, and their enthalpy of formation, logarithm of impact sensitivity, electric spark energy, as well as detonation energy, are described. The PANi favorably influences the density of the corresponding CAC; surprisingly close linear correlations were found, and explained, between these densities and the Ea values. This presence of PANi strongly increased the electrical spark sensitivity of the CACs in comparison to the base NAs. Based on the results obtained, it can be noted in particular the exceptional desensitization of HMX to impact and the increased sensitivity to electrical spark by coating its crystals with polyaniline.