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We proposed in an earlier paper [arXiv:1108.6141] an empirical formula of theelectrical conductivity which agrees with experiments within 20 percent for themost of pure elemental metals at room temperature ranges. This is obtained, inDrude formula, by replacing the electron density with the number density ofatoms n(atom), and the electron effective mass with true electron massmultiplied by G. Here the relaxation time is assumed to be (h/2pi)/(kT) for allmetals (h is the Planck constant and k is the Boltzmann constant). The singlefree parameter G is summed electron numbers in each atomic shell, e.g. G=5+1=6for chromium(five 3d electrons and one 4s electron). In this paper, we findthat the above relaxation time can be reproduced if the autocorrelation time ofelectron fluctuating velocity in a simple fluctuation dissipation theorem isconverted to 2delta(energy)delta(time)/kT, and if this delta(energy)delta(time)is assumed equal to (h/2pi)/2 of the Heisenberg's minimum uncertainty. Thiscorresponds to the closest approach, or head-on colliisions. Independent fromthis, we find that n(electron)=n(atom), is appropriate for the conductivity inmost elemental metals. In discussing the 5th power temperature dependence ofresistivity, we find that, besides the use of the Debye temperature unit, thetemperature unit defined by the ion plasma frequency times (h/2pi)/k is equallyacceptable. Here the ion plasma frequency is only depending on n(electron)unlike somewhat ambiguous Debye temperature.

Interpretation of the Relaxation Time for the Electrical Conductivity of Elemental Metals Using the Fluctuation Dissipation Theorem