which is the us english term for thermal energy
Thermal energy Thermal energy is a term used loosely as a synonym for more rigorously-defined thermodynamic quantities such as the internal energy of a system; heat or sensible heat, which are defined as types of transfer of energy (as is work); or for the characteristic energy of a degree of freedom in a thermal system   k T  {\displaystyle kT} , where   T  {\displaystyle T}  is temperature and   k  {\displaystyle k}  is the Boltzmann constant.
Heat capacity Heat capacity or thermal capacity is a measurable physical quantity equal to the ratio of the heat added to (or removed from) an object to the resulting temperature change.[1] The unit of heat capacity is joule per kelvin    J K   {\displaystyle \mathrm {\tfrac {J}{K}} } , or kilogram metre squared per kelvin second squared     k g ⋅ m 2   K ⋅ s 2     {\displaystyle \mathrm {\tfrac {kg\cdot m^{2}}{K\cdot s^{2}}} }  in the International System of Units (SI). The dimensional form is L2MT−2Θ−1. Specific heat is the amount of heat needed to raise the temperature of one kilogram of mass by 1 kelvin.