In addition to the solution proposed by Christophe, you could assemble a capacitor device with parallel plates and your semiconductor thin film between them. After you should perform a capacitance vs frequency characterization. With the values of capacitance (C), semiconductor film thickness (t) and area of contacts (A) you could obtain the semiconductor dielectric constant (k) through the following simple equation:
Real part of permittivity of a semiconductor can be accurately measured
if it is larger (or of the same order) as the imaginary part. The imaginary part of permittivity for semiconductor at a given frequency depends on conductivity according to formulae Im(eps)=sigma/(omega*eps0)
where: sigma - conductivity , omega - angular frequency eps0- permittivity of vacuum. As you can easily find the imaginary part of permittivity decreases
with frequency. For high resistivity (low conductivity) semiconductors having resistivity > 1 kOhm*cm the imaginary part of permittivity becomes smaller than the real part at microwave frequencies. Therfore accurate
measurements of the real part of permittivity are typically measured at
microwave frequencies or higher. For more details see e.g.
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 54, NO. 11, NOVEMBER 2006 p.3995