  The second Born corrections to the electrical and thermal conductivities are
calculated for the dense matter in the liquid metal phase for various elemental
compositions of astrophysical importance. Inclusion up to the second Born
corrections is sufficiently accurate for the Coulomb scattering of the
electrons by the atomic nuclei with Z < 26. Our approach is semi-analytical,
and is in contrast to that of the previous authors who have used fully
numerical values of the cross section for the Coulomb scattering of the
electron by the atomic nucleus. The merit of the present semi-analytical
approach is that this approach affords us to obtain the results with reliable
Z-dependence and \rho-dependence. The previous fully numerical approach has
made use of the numerical values of the cross section for the scattering of the
electron off the atomic nucleus for a limited number of Z-values, Z=6, 13, 29,
50, 82, and 92, and for a limited number of electron energies, 0.05MeV, 0.1MeV,
0.2MeV, 0.4MeV, 0.7MeV, 1MeV, 2MeV, 4MeV, and 10MeV. Our study, however, has
confirmed that the previous results are sufficiently accurate. They are
recovered, if the terms higher than the second Born terms are taken into
account. We make a detailed comparison of the present results with those of the
previous authors. The numerical results are parameterized in a form of analytic
formulae that would facilitate practical uses of the results. We also extend
our calculations to the case of mixtures of nuclear species. The corresponding
subroutine can be retrieved from
http://www.ph.sophia.ac.jp/~itoh-ken/subroutine/subroutine.htm
