Q.

Which of the following sets of quantum numbers n, l, ml, ms  correspond to a valence electron in a neutral atom of arsenic (As)?

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a

3,0,0,+12

b

3,2,1,12

c

4,0,0,-12

d

4,2,1,12

answer is C.

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Detailed Solution

Sets of quantum numbers n, l, ml, ms  correspond to a valence electron in a neutral atom of arsenic (As) is 4,0,0,-12

We choose a 4s electron just out of convenience. Then for that electron…

  • It must fall within the energy range indicated by n=4.
  • The angular momentum of S orbitals, which are spherically shaped, is zero, hence l=0
  • One 4s orbital is the only one that can exist. ml range is constrained to the set {0} when l=0. There is only one orbital because each value of ml is equivalent to one.
  • Depending on the value of ms, each electron can have a spin-up or spin-down of 1/2. There are multiple options because this orbital is already full.

So, there are two possibilities for a 4s electron.

n,l,ml,ms=4,0,0,+12

n,l,ml,ms=4,0,0,12

Hence, option C is correct.

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