1.) Nanostructures are believed to possess fewer numbers of vacancies (or are vacancy free) when compared with macroscopic solid. The equation describing the number of vacancy is shown in (1) n, N exp(-2,/RT) (1) Here, Q= 1,0bIf the surface energy for each atom is about 2.6 J/m and atomic diameter is 0.40 nm, how many vacancies could be formed in a nanoparticle, in which there are 2.4 x 100 atoms at the temperatures of 200, 500 and 1000 K? Given that the Avogrado number, NA, is 6.023 x 10- and the gas constant, R, is 8.314 J/mol.K