I know little about the experimental measurements of heat capacity. I can see you'd need to know both how much energy you've transferred to a nanoparticle, and measure the temperature change resulting to ascertain it. This brings me to my questions: How effective is laser heating of nanoparticles for determining heat capacity? How is temperature of the nanoparticle measured? An infra-red thermometer like device? I'm guessing the answers are "Not very", and "No", because otherwise many mysteries in materials science would have already been solved. To reframe my question: Would someone like to tell me about the difficulties of measuring heat capacities in nanoparticles?