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?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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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?
Transcribed Image Text: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
  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.
  2. 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 (ml): 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 (ms): 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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