We consider Na clusters on NaCl surfaces as examples of metal clusters
attached to an insulating substrate. We concentrate on the cases Na,
and Na, where three-dimensionally extended clusters compete with plana
r clusters and compute the optical response of ground states and isome
rs using the time-dependent local-density approximation. The interface
interaction leads to strong deformations of the deposited clusters. N
onetheless, one sees a well-developed plasmon response which allows co
nclusions to be made on the underlying cluster structure (planar or th
ree-dimensional). (C) 1998 Elsevier Science B.V. All rights reserved.