Prove that the spin function symmetric with respect to the exchange of the two electrons.
We are given the spin function: $$ \chi_+(1,2) = \frac{1}{\sqrt{2}}[\alpha(1)\beta(2) + \alpha(2)\beta(1)] $$ We are to prove ____ _______ ______ ______ _________ ______ _________ ________ ___.
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Prove that the spin function symmetric with respect to the exchange of the two electrons.
Determine the term symbols associated with a two electron configuration
where . Write the term symbols in order of increasing energy using Hund’s rules.
Consider a wavefunction given by:
If the wavefunctions normalised, show that
is also normalised.
Li ion is placed in an electric field of magnitude
direction. Determine the energy shift for levels with n =1 and n = 2 in presence of this field.
A Hydrogen atom is in a region of strong magnetic field. How many energy levels will be there corresponding to the unperturbed 2p level of this atom?
Determine the shift in energy caused by the ‘relativistic correction to kinetic energy’
, the spin-orbit term
, and Darwin term
for n = 2 level of He .
Write the electronic configuration of HF, HCl, and LiF molecules, hence obtain the bond orders. Draw the schematics of the molecular orbitals and atomic orbitals for each molecule.