We present a first-principles parameter-free calculation of the electr
onic densities of states, spectral functions and electrical resistivit
y of liquid La based on the tight-binding linear muffin-tin orbitals (
TB LMTO) and the recursion method. Computer-generated 600-particle cub
ic clusters are used as models of liquid La. Electrical resistivity is
calculated using the Kubo-Greenwood formula and the recursion method
applied to the TB-LMTO Hamiltonians for the model clusters. Partial de
composition of conductivity, in order to assess the separate contribut
ions from the (TB-LMTO) s, p and d states, is presented. The contribut
ion of the cross channels (s-p, p-d, and s-d) to the diffusivity funct
ion is found to be substantial and negative, reducing the total value
of the conductivity by almost 50%. The calculated resistivity is about
23% in excess of the measured value. Sources of error in our calculat
ion are discussed and ways of improving the results within the framewo
rk of the TB-LMTO scheme are suggested.