Development of 100^{100}Mo-containing scintillating bolometers for a high-sensitivity neutrinoless double-beta decay search

We report recent achievements in the development of scintillating bolometers to search for neutrinoless double-beta decay of $^{100}$Mo. The presented results have been obtained in the framework of the LUMINEU, LUCIFER and EDELWEISS collaborations, and are now part of the R\&D activities towards CUPID (CUORE Update with Particle IDentification), a proposed next-generation double-beta decay experiment based on the CUORE experience. We have developed a technology for the production of large mass ($\sim$1 kg), high optical quality, radiopure zinc and lithium molybdate crystal scintillators (ZnMoO$_4$ and Li$_2$MoO$_4$, respectively) from deeply purified natural and $^{100}$Mo-enriched molybdenum. The procedure is applied for a routine production of enriched crystals. Furthermore, the technology of a single detector module consisting of a large-volume ($\sim 100$~cm$^3$) Zn$^{100}$MoO$_4$ and Li$_2$$^{100}$MoO$_4$ scintillating bolometer has been established, demonstrating performance and radiopurity that are close to satisfy the demands of CUPID. In particular, the FWHM energy resolution of the detectors at 2615 keV --- near the $Q$-value of the double-beta transition of $^{100}$Mo (3034~keV) --- is $\approx$ 4--10~keV. The achieved rejection of $\alpha$-induced dominant background above 2.6~MeV is at the level of more than 99.9\%. The bulk activity of $^{232}$Th ($^{228}$Th) and $^{226}$Ra in the crystals is below 10 $\mu$Bq/kg. Both crystallization and detector technologies favor Li$_2$MoO$_4$, which was selected as a main element for the realization of a CUPID demonstrator (CUPID-0/Mo) with $\sim$7 kg of $^{100}$Mo

The thermodynamic equation for the dissolution of solids in liquids

A solvation model of a superficial layer on the liquid - solid interface is given. This model is applied for the description of the dissolution of solid compounds in liquids. The superficial layer is supposed as a solid solution of a solvent in a solute of non-stoichiometric composition. It is described within the scope of the Debye model of a solid state. A peculiarity of the model is that the Debye temperature of the solid solution is a function of the partial densities of the solvent and the solute. The solvation effect is taken into account by using one constant - the Gruneisen solvation constant. For the temperature dependence and for the heat of dissolution analytical expressions are obtained. The expressions are functions of the Debye characteristic temperature and the Gruneisen solvation constant of a superficial layer. Thorough comparison with the experiments on the dissolution and the heat of dissolution of the metals in liquid mercury is performed yielding excellent agreement