21. As stated by the equipartition theorem. 22. An important application of the equipartition theorem is to the specific heat capacity of a crystalline solid. 23. The equipartition theorem and the related virial theorem have long been used as a tool in astrophysics. 24. The equipartition theorem can be used to derive the Brownian motion of a particle from the Langevin equation. 25. The velocity data verified the Maxwell-Boltzmann velocity distribution, and the equipartition theorem for a Brownian particle. 26. According to the equipartition theorem, the change in internal energy is related to the temperature of the system by 27. Experimental observations of the specific heat capacities of gases also raised concerns about the validity of the equipartition theorem. 28. The general equipartition theorem is an extension of the virial theorem ( proposed in 1870 ), which states that 29. This explains the failure of the classical equipartition theorem for metals that eluded classical physicists in the late 19th century. 30. Several explanations of equipartition 's failure to account for molar heat capacities were proposed . quantum theory among physicists.
