We present first principle calculations of ultrathin silicon (111) lay
ers embedded in CaF2, a lattice matched insulator. Our all electron ca
lculation allows a check of the quantum confinement hypothesis for the
Si band gap opening as a function of thickness. We find that the gap
opening is mostly due to the valence band while the lowest conduction
band states shift very modestly due to their pronounced interface char
acter. The latter states are very sensitive to the sample design. We s
uggest that a quasidirect band gap can be achieved by stacking Si laye
rs of different thickness.