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2n2  = 2 x (4)2 = 32

For the n=4 state we have

n=4, l=3, ml = 3, ms = ±1 / 2

n=4, l=3, ml = 2, ms = ±1 / 2

n=4, l=3, ml = 1, ms = ±1 / 2

n=4, l=3, ml = 0, ms = ±1 / 2

n=4, l=3, ml = −1, ms = ±1 / 2

n=4, l=3, ml = −2, ms = ±1 / 2

n=4, l=3, ml = −3, ms = ±1 / 2

n=4, l=2, ml = 2, ms = ±1 / 2

n=4, l=2, ml = 1, ms = ±1 / 2

n=4, l=2, ml = 0, ms = ±1 / 2

n=4, l=2, ml = −1, ms = ±1 / 2

n=4, l=2, ml = −2, ms = ±1 / 2

n=4, l=1, ml = 1, ms = ±1 / 2

n=4, l=1, ml = 1, ms = ±1 / 2

n=4, l=1, ml = 0, ms = ±1 / 2

n=4, l=1, ml = 0, ms = ±1 / 2

n=4, l=0, ml = 0, ms = ±1 / 2

[Source: PDF, page no. 6]

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