Theoretical and numerical details of an optimized LCAO (linear
combination of atomic orbitals) method for the calculation of
self-consistent bandstructures are given together with a variety of
examples. The method will be a valuable tool both for researchers
engaged in calculations and for scientists looking for numerical
results of self-consistent bandstructure calculations. The
presentation starts with an introduction to the modern many-body
theory of electronic bandstructure. The essentials of the
representation with a non-orthogonal basis and the usual
tight-binding variants are critically reviewed. A variational
approach to the optimization of atom-like basis orbitals is
described together with an SCF procedure for band calculations.
Complete numerical and graphic results for all elementary metals
from lithium to zinc are given.
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