  We calculate the spectrum and the total rate of created particles for a real
massless scalar field in $1+1$ dimensions, in the presence of a partially
transparent moving mirror simulated by a Dirac $\delta-\delta^{\prime}$ point
interaction. We show that, for this model, a partially reflecting mirror can
produce a larger number of particles in comparison with a perfect one. In the
limit of a perfect mirror, our formulas recover those found in the literature
for the particle creation by a moving mirror with a Robin boundary condition.
