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, mₜ, 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-porbitals orany-given-shell, there are three possible mevalues
e. all statements are correct

Answer 1

All the given statements a through e regarding the quantum numbers that identify an atomic orbital are correct, outlining the rules for the principal, angular momentum, and magnetic quantum numbers as well as the specific cases for s and p orbitals. All the statements are correct.

Step-by-step explanation:

The quantum numbers that identify an atomic orbital include the principal quantum number (n), the angular momentum quantum number (l), and the magnetic quantum number (mℓ). According to quantum mechanics:

• n can be any positive integer and determines the energy level and size of the electron cloud.
• l can have integer values between zero and (n−1) and determines the shape of the orbital.
• mℓ can range from −l to +l in integer steps and determines the orientation of the orbital in space.
• For an s orbital (l=0) of any shell, there is only one possible mℓ value, which is zero.
• For p orbitals (l=1) of any shell, there are three possible mℓ values: −1, 0, +1.

Therefore, based on the provided information, all the statements a through e concerning quantum numbers and atomic orbitals are correct.