This chapter focuses on the mathematical modeling and exploitation of dissipated energy in Vanadium Dioxide (VO2), a smart material exhibiting thermochromic phase transition. The study investigates the hysteresis loop observed during heating and cooling in the infrared spectrum, quantifying the dissipated energy in both pure and doped (5% W and 15% Cr) VO2 thin films. The mathematical models for transmissivity are presented, and the dissipated energy is calculated as a function of temperature and incident photon frequency. The research highlights two main application domains: information technology and energy. In information technology, the dissipated energy is leveraged to increase data storage speed in optical memories and storage devices, with a particular focus on the impact of W-doping on storage time. In the energy sector, VO2 nanoparticles are explored as nano-additives in fuels to reduce dissipated energy during combustion, thereby improving engine efficiency and reducing CO2 emissions. The study concludes that n-type doping (5% W) enhances information storage time, while p-type doping (15% Cr) is promising for fuel additives due to its ability to reduce dissipated energy.