Final answer:
Sets of quantum numbers for an electron in the 5d orbital of a hydrogen atom include the principal quantum number (n=5), orbital quantum number (l=2), magnetic quantum number (m ranging from -2 to +2), and spin quantum numbers (s=1/2 and ms=-1/2 or +1/2).
Step-by-step explanation:
An electron in a possible excited state for the hydrogen atom in the 5d orbital can be described using the set of quantum numbers: principal quantum number (n), orbital quantum number (l), magnetic quantum number (m), spin quantum number (s) and magnetic spin quantum number (ms). For the 5d state, the principal quantum number n=5 and the orbital quantum number l=2, as the 'd' orbital corresponds to l=2. Since l is 2, the magnetic quantum number m can have the values of -2, -1, 0, 1, or 2. The spin quantum number s for electrons is always 1/2, and the magnetic spin quantum number ms can be either -1/2 or +1/2. Therefore, the complete sets of quantum numbers for an electron in the 5d orbital of a hydrogen atom can be:
- (5, 2, -2, 1/2, -1/2)
- (5, 2, -2, 1/2, +1/2)
- (5, 2, -1, 1/2, -1/2)
- (5, 2, -1, 1/2, +1/2)
- (5, 2, 0, 1/2, -1/2)
- (5, 2, 0, 1/2, +1/2)
- (5, 2, 1, 1/2, -1/2)
- (5, 2, 1, 1/2, +1/2)
- (5, 2, 2, 1/2, -1/2)
- (5, 2, 2, 1/2, +1/2)