Aluminium (Al) has a face-centered cubic structure, with lattice parameter a = 4.05 × 10-¹⁰ m. If each Al atom loses three electrons to make a free electron gas in the metal, what is the electron density ne?

Compute the magnitude of the electrostatic attraction energy between a silver cation (radius 129 pm) and a sulfide anion (radius 170 pm). Give your answer in al.

The Fermi energy of silver is µF = 5.51 eV. a) Calculate µ(7) of Ag at T = 400 and 4000 K. b) What is the rms speed of electrons at 0 K? What is the Fermi velocity? c) Plot the Fermi function at 0 and 4000 K in one graph and discuss the differences.

1. An electron moving in a conjugated bond framework can be viewed as a particle in a box. An externally applied electric field of strength & interacts with the electron in a fashion described by the perturbation: V(r) = ee (x - 1) Where x is the position of the electron in the box, e is the electron charge, and Lis the length of the box. (a) Compute the first order correction to the energy (b) The first order correction to the wave-function (compute only the contribution to Y made by Y2)

Pls help ASAP. Pls show all work annd circle the final answer.