Question A8Magnesium metal has the hexagonal close packed structure, with unit cell parameters a = 3.209 Åand c = 5.211 Å. It can be modelled as a free electron gas to which each atom contributes twoelectrons.a) Calculate the electron concentration, the Fermi wavevector, and hence the Fermi energy,giving your answer in eV.b) The Fermi energy is many times greater than the energy required to boil magnesium! Explainbriefly how it is possible for electrons in magnesium to have so great an energy.

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