Make a plot of the kinetic energy for both the singlet and triplet states of H 2
Question:
Make a plot of the kinetic energy for both the singlet and triplet states of H2, as a function of R/a. Do the same for the electron-proton potential energy and for the electron–electron potential energy. You should find that the triplet state has lower potential energy than the singlet state for all values of R. However, the singlet state’s kinetic energy is so much smaller that its total energy comes out lower. Comment: In situations where there is not a large kinetic energy cost to aligning the spins, such as two electrons in a partially filled orbital in an atom, the triplet state can come out lower in energy. This is the physics behind Hund’s first rule.
Step by Step Answer:
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter