Formulae for equlibrium stripe domain width W-eq in a nonductive ferro
electric plate of thickness d are deduced, taking into account electro
static interaction of surfaces. It is shown that the classical formula
giving W-eq infinity d(1/2) is not applicable when the sample thickne
ss decreases below the value d(crit) which is a function of dielectric
properties and domain wall energy density. For many ferroelectrics th
e value of d(crit) lies in a range which can be easily reached far bel
ow the transition point by contemporary thin film techniques; it furth
er increases as the transition point is approached. In the region d <
d(crit) the width W-eq increases with decreasing d. For samples with t
hickness d << d(crit) the domain structure becomes insensitive to elec
trical boundary conditions and will be primarily determined by other f
actors.