For an electron in the n = 2 state, write all the possible sets of quantum numbers. Please write all the possible states in the form of (n, l, m, m_s).

The quantum numbers for an electron in the n = 2 state can be determined as follows:

1. Principal Quantum Number (n): This is given as n = 2.

2. Azimuthal Quantum Number (l): This can have any value from 0 to n-1. So for n = 2, l can be 0 or 1.

3. Magnetic Quantum Number (m): This can have any value from -l to +l. So for l = 0, m = 0 and for l = 1, m can be -1, 0, or +1.

4. Spin Quantum Number (m_s): This can be +1/2 or -1/2, representing the two possible spin states of an electron.

So, the possible sets of quantum numbers for an electron in the n = 2 state are:

(2, 0, 0, +1/2) (2, 0, 0, -1/2) (2, 1, -1, +1/2) (2, 1, -1, -1/2) (2, 1, 0, +1/2) (2, 1, 0, -1/2) (2, 1, +1, +1/2) (2, 1, +1, -1/2)