SummarySpecific heat measurements have been made on niobium (from 1471 to 2260 0 K), molybdenum (from 1288 to 2015°K), tantalum (from 1256 to 2300 0 K), and tungsten (from 1267 to 2410 0 K). The experiments were based on a theory first proposed by Corbino in 1911. It is demonstrated that methods based on this theory account for heat losses from the specimen under test to better than 0'5% even at 2400oK. The theory requires a knowledge of the temperature oscillations in thin a.c. heated filaments and this amplitude is here obtained from photoelectric measurements.The measured specific heat of each one of the four metals was found to rise more than linearly with the absolute temperature,while the specific heat at constant volume was found to increase approximately with the first power of the temperature. This behaviour is briefly discussed.