Calculate the energy (in eV/atom) for vacancy formation in some metal, M, given that the equilibrium number of vacancies at 296oC is 9.19 × 1023 m-3. The density and atomic weight (at 296°C) for this metal are 8.85 g/cm3 and 51.40 g/mol, respectively.

Explanation:

The given data is as follows.

       Temperature of metal = = (296 + 273) K

                                            = 569 K

     Density of the metal = 8.85 =      (as )

     Atomic mass = 51.40 g/mol

    Vacancies =

Formula to calculate the number of atomic sites is as follows.

           n =

              =

              =

Now, we will calculate the energy as follows.

                E =

where,    K =

         E =

               =

Therefore, we can conclude that energy (in eV/atom) for vacancy formation in given metal, M, is .

resonant frequency