Chapter 10, Multielectron Atoms-Optical Excitations Video Solutions, Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles

Problem 1

Give an example of a system studied in science or engineering, other than a multielectron atom, which is best treated by a succession of increasingly accurate approximations.

Mihir Nayar

Numerade Educator

03:25

Problem 2

Why are astronomers so dependent on information obtained from optical spectra?

Matthew Miranda

Numerade Educator

02:52

Problem 3

Why is it not possible to give a small amount of energy to an electron in an inner subshell of an atom? What happens if a large amount of energy is given to an electron in an outer subshell?

Emily Harris

Numerade Educator

03:33

Problem 4

Where in the Hartree approximation is the assumption made that the net potential is spherically symmetrical?

Kevin Zaborsky

Numerade Educator

02:19

Problem 5

Explain, in simple terms, why the spin-orbit interaction becomes stronger with increasing $Z$

Prabhu Ramji

Numerade Educator

01:18

Problem 6

Do atoms of high $Z$ generally have more optically active electrons than atoms of low $Z$ ?

Aadit Sharma

Numerade Educator

02:20

Problem 7

Chemists usually speak of valence electrons. What is the corresponding term usually employed by physicists?

Adriano Chikande

Numerade Educator

01:45

In studying the residual Coulomb interaction, eigenfunctions are used which are antisymmetric with respect to exchange of the labels of pairs of optically active electrons. What is the justification for not using eigenfunctions which are antisymmetric with respect to the exchange of labels for any pair of electrons in the atom?

Timothy Vitale

Numerade Educator

01:12

Problem 9

Does the coupling of the spin angular momentum of one optically active electron in a typical atom to the spin angular momentum of another opticatly active electron involve a magnetic interaction between their spin magnetic dipole moments? If not, explain why not, and also explain in simple terms what the coupling is due to.

Ajay Singhal

Numerade Educator

01:12

Problem 10

Explain the physical origin of the coupling between the orbital angular momenta of the optically active electrons in a typical atom.

Ajay Singhal

Numerade Educator

06:14

Problem 11

Why is there a classical explanation for the coupling of orbital angular momenta of optically active electrons, but not for the coupling of their spin angular momenta?

Kevin Chimex

Numerade Educator

03:06

Problem 12

In a multiplet with $s^{\prime}>l^{\prime}$, into how many components are the levels split by the spinorbit interaction? Consider the multiplet discussed in Example 10-4.

Ajay Singhal

Numerade Educator

01:12

Problem 13

What is the difference between $L S$ coupling and $J J$ coupling?

Jennifer Stoner

Numerade Educator

01:55

Problem 14

What is the relation between the quantum states allowed by the $L S$ coupling exclusion principle for a subshell with one hole (i.e., completely filled except for one electron) and the quantum states allowed for a subshell with one electron? Would there be a simple relation between the optical excitations of a halogen atom and the optical excitations of an alkali atom?

Taniya Khandelwal

Numerade Educator

01:12

Problem 15

What would the exclusion principle be like for $J J$ coupling?

Amit Srivastava

Numerade Educator

01:12

Problem 16

Is it possible for a Landé $g$ factor to have a value smaller than 1 ? Larger than 2 ?

Yuva S

Numerade Educator

01:55

Problem 17

What would be the effect of placing an atom in an external magnetic field of strength very much larger than the strength of the internal magnetic field?