This topic contains a solution. Click here to go to the answer

Author Question: Following selection rules for multi-electron atoms, imagine a titanium atom in the ground state with ... (Read 72 times)

neverstopbelieb

  • Hero Member
  • *****
  • Posts: 534
Following selection rules for multi-electron atoms, imagine a titanium atom in the ground state with two electrons in each of the 3d and 4s shells. In the 3d shell, which of the following scenarios is least likely to be true?
  a. The electrons orbital angular momentum is aligned.
  b. The electrons' spins are antialigned to minimize energy.
  c. The spin and angular momentum of the electrons are aligned to minimize energy.
  d. The energy levels of the electrons are split due to LS coupling.
  e. The magnetic quantum numbers of the electrons are either both positive or both negative.

Question 2

Which of the following statements is true about the spin-orbit coupling effects on the transitions of an atom such as sodium? Assume sodium is modeled by a single electron atom.
 
a.The difference in the energy of a split state does not depend on the electron's angular momentum, but instead the angular momentum of the nucleus.
  b. The differences in energy level transitions are significant enough to change the order of filling of the subshells.
  c.Electrons with a state of l = 0 never have split energy levels.
  d. For single electron atoms (or atoms with one electron outside a filled shell) each nl state is made a doublet.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

wtf444

  • Sr. Member
  • ****
  • Posts: 314
Answer to Question 1

b.
By Hund's rules the 3d shell fills first to maximize S. Since the value of S would be at a maximum for aligned spins of the two electrons and zero for antialigned spins, the answer is not likely to be true.

Answer to Question 2

c.
Electrons in the states with lowest angular momentum cannot have split energy levels because the spin-orbit coupling that splits the energies depends on j, which is determined by j = l  s. If l = 0, however, j = 1/2 for single electron atoms. The electron has only one energy level.




neverstopbelieb

  • Member
  • Posts: 534
Reply 2 on: Jul 28, 2018
Gracias!


Animal_Goddess

  • Member
  • Posts: 339
Reply 3 on: Yesterday
:D TYSM

 

Did you know?

Approximately 25% of all reported medication errors result from some kind of name confusion.

Did you know?

Disorders that may affect pharmacodynamics include genetic mutations, malnutrition, thyrotoxicosis, myasthenia gravis, Parkinson's disease, and certain forms of insulin-resistant diabetes mellitus.

Did you know?

Limit intake of red meat and dairy products made with whole milk. Choose skim milk, low-fat or fat-free dairy products. Limit fried food. Use healthy oils when cooking.

Did you know?

There are actually 60 minerals, 16 vitamins, 12 essential amino acids, and three essential fatty acids that your body needs every day.

Did you know?

More than 50% of American adults have oral herpes, which is commonly known as "cold sores" or "fever blisters." The herpes virus can be active on the skin surface without showing any signs or causing any symptoms.

For a complete list of videos, visit our video library