# Hydrogen’s single electron can occupy any of the atom’s distinct quantum states. Determine the number of distinct quantum states in the (a) n = 1, (b) n = 2, and (c) n = 3 energy levels

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Hydrogen’s single electron can occupy any of the atom’s distinct quantum states. Determine the number of distinct quantum states in the (a) n = 1, (b) n = 2, and (c) n = 3 energy levels

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Step 1

a)

For n=1. l=0

Value of ml=–l to +l

Thus

ml=0

Since there is only one state and maximum electrons that can occupy is 2, the total number if quantum states for n=1 is 2.

Step 2

b)

For n=2

Value of ml=–l to +l

Then, ml=-1, 0, 1

Total states

nnet=2(n=1)+6(n=2)=8

Therefor...

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### Physics of Atoms 