TNP is determined by the balance between various heating and cooling processes, and it should be noted that for the relatively slow mass loss rates studied here, the effects of exothermic or endothermic reactions are neglible. For example, a 50 nm diameter NP at 1500 K would radiate ~2 x 10 8 eV/sec, assuming an emissivity of ~0.02, which is reasonable for a sub-wavelength black carbon NP. In addition, collisions with the 300 K Ar buffer gas would remove an additional ~7 x 10 6 eV/sec, thus laser heating of ~2.07 x 10 8 eV/sec would be required to maintain TNP. Sublimation and oxidation reactions require or produce, at most, a few eV per carbon atom removed, thus even for mass loss rates well above the range studied here, the contributions to heating and cooling are negligible.