  It has recently been argued that atoms and molecules may become good targets
of determining neutrino parameters still undetermined, if atomic/molecular
process is enhanced by a new kind of coherence. We compute photon energy
spectrum rate arising from coherent radiative neutrino pair emission processes
of metastable excited states of I$_2$ and its iso-valent molecules, $|Av
\rangle \rightarrow |Xv' \rangle + \gamma + \nu_i\nu_j$ and $|A'v \rangle
\rightarrow |Xv' \rangle + \gamma + \nu_i\nu_j$ with $\gamma$ an IR photon and
$\nu_{i(j)}$ $i(j)-$th neutrino mass eigenstates, and show how fundamental
neutrino parameters may be determined. Energies of electronically excited
states of I$_2$, including the effect of spin-orbit couplings were calculated
by the multiconfigurational second order perturbation (CASPT2) method.
Summation over many vibrational levels of intermediate states is fully
incorporated. Unlike atomic candidate of a much larger energy difference such
as Xe, I$_2$ transitions from a vibrational level $A(v=0)$ to $X(v' = 24)$ give
an opportunity of determination of the mass type (Majorana vs Dirac
distinction) and determination of Majorana CPV (charge-conjugation parity
violating) phases, although the rate is much smaller.
