Plane waves and Confined Localized Orbitals have been used to construc
t a new mixed basis for electronic structure calculations. Confinement
is a mathematical transformation which smoothly suppresses the tails
of the atomic orbitals. This eliminates multicentre integrals in the e
xpressions for the matrix elements. Using self-consistent potentials s
upplied by the linear muffin tin orbital method (LMTO) we have calcula
ted the bulk band structures of Al, Si, Cu, and LiH to a degree of acc
uracy comparable with the results given by the LMTO calculations. The
basis functions are energy independent so the full solution is obtaine
d without invoking any kind of linearization scheme.