We give a theory of infrared absorption due to phonons for a general e
lectron-phonon coupled system. This is expressed in terms of three phy
sically important parameters for each infrared active phonon mode: dim
ensionless electron-phonon coupling constant lambda(alpha), renormaliz
ed phonon frequency Omega(alpha), and damping parameter Gamma(alpha).
We apply this theory to a molecular solid, doped fullerenes, to extrac
t these parameters by fitting to experimental infrared absorption data
.