Provide the quantum numbers and related information for the followingorbital, 3d.What is the number of degenerate orbitals based on the magneticquantum number?

Principle quantum number (n): It defines the number of shells in the atom. Its values are 1,2,3….…

Answered: Provide the quantum numbers and related…

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 25P: Suppose that the spin quantum number did not exist, and therefore only one electron could occupy...

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Provide the quantum numbers and related information for the following
orbital, 3d.
What is the number of degenerate orbitals based on the magnetic
quantum number?

Expert Solution

Step 1

Principle quantum number (n): It defines the number of shells in the atom. Its values are 1,2,3…. and it tells us about the energy and the size of a shell.
Azimuthal quantum number (l): It defines the number of subshells in a particular shell. Its values are 0 to (n-1). This quantum number tells us about the shape of the orbital and the energy of the orbital.

l =0 (s-subshell)

l =1 (p-subshell)

l =3 (d-subshell)

l =4 (f-subshell)

3. Magnetic quantum number (m_l): The number of orbitals in a subshell defined by the magnetic quantum number. Its values are from -l to +l. The number of orbitals in a subshell is equal to the magnetic quantum number.

4. Spin quantum number (m_s): The number of electrons in an orbital is defined by the spin quantum number. Its values are +1/2 and -1/2.

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