Question

Which of the following statement(s) regarding the quantum numbers that identify an atomic orbital are correct?

a. The angular momentum quantum number, l, can have integer values between zero and (n−1)
b. The magnetic quantum number, ml, can have values that range from −l to +l in integer steps
c. an s orbital of any given shell has only one possible me value
d. for-p orbitals or any-given-shell, there are three possible mI values
e. all statements are correct

Answer 1

After evaluating each statement provided, all statements regarding quantum numbers and their implications for atomic orbitals are correct. Option e, which states that all provided statements are accurate, is the correct choice.

Step-by-step explanation:

The quantum numbers that identify an atomic orbital provide important information about the characteristics of the electron in that orbital. The statement regarding the quantum numbers can be examined step by step:

• The angular momentum quantum number, l, can indeed have integer values between zero and (n−1), which determine the shape of the orbital.
• The magnetic quantum number, ml, ranges from −l to +l, including zero, allowing for several orientations in space defined by the 2l + 1 rule.
• An s orbital will indeed have only one possible ml value, which is zero, as l is zero for s orbitals.
• For p orbitals, with l = 1, ml can indeed have three possible values: -1, 0, and +1, corresponding to the three orientations p orbitals can have in space.

All provided statements are correct, making option e the correct choice.