  The axion search experiments invite a plausible estimation of the
axion--photon--photon coupling constant $\overline{c}_{a\gamma\gamma}$ in
string models with phenomenologically acceptable visible sectors. We present
the calculation of $\overline{c}_{a\gamma\gamma}$ with an exact Peccei-Quinn
symmetry. In the Huh-Kim-Kyae $\Z_{12-I}$ orbifold compactification, we obtain
$\overline{c}_{a\gamma\gamma} =\frac{8}{3}$ even with a lot of singlets at the
GUT scale, and the low-temperature axion search experiments will probe the QCD
corrected coupling, $ {c}_{a\gamma\gamma} \simeq
\overline{c}_{a\gamma\gamma}-1.98\simeq 0.69$.
