in the case of ZnS nanoparticles, the transformation from cubic to hexagonal associated with the increase in the particle size and decrease in the value of optical band gap, which is contrary to the transformation of bulk ZnS
Band gap: hexagonal 3.91 eV cubic 3.54 eV (en.wikipedia.org)
Regarding density, nothing seems to be different.
Regarding the "optical band gap": IN the title you are stating an increase, in the text a decrease. Which one ? And how do you define the term "optical band gap" ?