摘要

Vanadium dioxide exhibits a reversible crystal transition from monoclinic phase to rutile phase, but the quantitative regularity of the effect of particle size on crystal transition thermodynamics still remains unclear. Herein, a new core shell model was proposed and the universal equations for size-dependent crystal transition thermodynamics have been deduced. Experinientally, we researched the crystal transition behaviors of VO2 (M) with different particle sizes. The results indicate that with the particle size of nano-VO2 (M) decreasing, the temperature, enthalpy, and entropy of the crystal transition decrease, and these thermodynamic properties are all linearly related with the reciprocal of particle radius, which are consistent with the theoretical formulas. More importantly, by using the quantitative influence regularity of the particle size on the crystal transition temperature, we can obtain different crystal transition temperatures for different applications by purely controlling the particle sizes.