The word that best describes the "measure of energy motion particles matter" is thermodynamics.

Here's why:

* Thermodynamics is the branch of physics that deals with heat and its relation to other forms of energy.

* It focuses on how energy is transferred and transformed within systems involving heat, work, and internal energy.

* The motion of particles (atoms and molecules) is directly related to temperature, which is a measure of internal energy.

While other terms like "physics" or "mechanics" might be loosely related, thermodynamics is the most precise and specific term for the concept of measuring energy, motion, particles, and matter.