Question

Quantom Theory and the Electronic structure of atoms;

1- determine the maximum number of electrons that could be found in each of the following subshells: 3s, 3d, 4p, 4f, 5f.

2-indicate which of the following sets of quantum numbers in an atom are unacceptable and explain why: a) (1,0,½,½), b) (3,0,0,+½), c) (2,2,1,+½), d) (4,3,2,+½), e) (3,2,1,1)

3-write the ground-state electron configurations for the following elements: B, V, Ni, As, I, Au.

Answer 1

1)
for given l, maximum number of orbital = (2*l+1)
each orbital can have 2 electrons.
So maximum number of electrons = 2*(2*l+1)

3s:
for s orbital, l=0
maximum number of electrons = 2*(2*l+1)
= 2*(2*0+1)
= 2

3d:
for d orbital, l=2
maximum number of electrons = 2*(2*l+1)
= 2*(2*2+1)
= 10
4p:
for p orbital, l=1
maximum number of electrons = 2*(2*l+1)
= 2*(2*1+1)
= 6
4f:
for f orbital, l=3
maximum number of electrons = 2*(2*l+1)
= 2*(2*3+1)
= 14

5f:
for f orbital, l=3
maximum number of electrons = 2*(2*l+1)
= 2*(2*3+1)
= 14

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