Question

What is the location of an electron with the following set of quantum numbers? {n=5, ℓ=3, mℓ=3, ms=+1/2}

a) 5s orbital with a positive spin
b) 5p orbital with a positive spin
c) 5d orbital with a positive spin
d) 5f orbital with a positive spin

Answer 1

The set of quantum numbers {n=5, ℓ=3, mℓ=3, ms=+1/2} corresponds to a 5f orbital with a positive spin. The spin quantum number (ms) determines the spin state of the electron, and ms = +1/2 represents a positive spin.

Step-by-step explanation:

The set of quantum numbers {n=5, ℓ=3, mℓ=3, ms=+1/2} corresponds to a 5f orbital with a positive spin.

The principal quantum number (n) represents the energy level of the electron, and in this case, it is 5.

The azimuthal quantum number (ℓ) determines the shape of the orbital, and its value of 3 indicates a 5f orbital.

The magnetic quantum number (mℓ) specifies the orientation of the orbital in space, and mℓ = 3 represents one of the possible orientations of a 5f orbital.

The spin quantum number (ms) determines the spin state of the electron, and ms = +1/2 represents a positive spin.