Question

4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density rho(r)= q e−2r/a, πa3 where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of such an atom. [Hint: First calculate the electric field of the electron cloud, Ee(r); then expand the exponential, assuming r ≪ a.1

Answer 1

Answer: atomic polarisability= alpha = 3π€oa^3

Explanation: shown in the attachment.

Note: p= alpa . E