EN
Criteria for the possible number of exciton surface states in a multilayer molecular slab are elucidated in detail. Namely, we explicitly determine the domains of system parameters where the size dependence plays a role. We further clarify the way a surface state is localized in the slab in both asymmetric and symmetric configurations. Basing on our results which are obtained within the first nearest layer approximation, we also conjecture properties to be expected when further nearest layers are taken into consideration.