Abstract
The shape of the electron spin resonance (ESR) line for itinerant electrons is asymmetric. The asymmetry is due to a microwave phase shift inside the sample. A complete equation for the power absorbed in conducting media is derived in this paper; it includes spin diffusion, sample size and displacement-current effects. This new formalism is appropriate to study the ESR of heavily doped semiconductors. It is shown that ESR may be a powerful technique to measure the dielectric constant in these media. An application to the study of the dielectric anomaly in lithium-ammonia solutions is given in Part 2 of this paper.