Final answer:
The quantum numbers for a 6s orbital are: principal quantum number (n) = 6, angular momentum quantum number (ℓ) = 0, magnetic quantum number (m₁) = 0, and spin quantum number (ms) can be either +1/2 or -1/2.
Step-by-step explanation:
The quantum numbers for a 6s orbital are determined by the rules governing the assigning of quantum numbers in atomic physics.
For the 6s orbital, the principal quantum number (n) is 6, because the number indicates the energy level or shell.
The angular momentum quantum number (ℓ) for an s orbital is always 0, as the s orbital is spherical and has no angular momentum.
The magnetic quantum number (m₁) also has a single value of 0, since there is only one s orbital per shell and it is not directionally dependent.
Finally, the spin quantum number (ms) can be either +1/2 or -1/2, representing the two possible spin states of the electron; this is independent of the other quantum numbers.