57.
What is the lowest numbered principal shell in which (a) p orbitals are found, and (b) the f subshell
can be found?
From a graphical diagram, it can be seen that a p orbital is found in principal shells ≥2, and an f subshell
is found in principal shells ≥4.
61.
Indicate whether each of the following is a permissible set of quantum numbers.
If the set is not
permissible, state why it is not.
(a)
n
= 2,
l
= 0,
m
l
= +1
(b)
n
= 5,
l
= 3,
m
l
= -3
(c)
n
= 4,
l
= 3,
m
l
= -2
(d)
n
= 0,
l
= 0,
m
l
= 0
(a) If
n
= 2,
l
= 0 to 2 – 1 = 0 to 1.
Since
l
= 0, this is OK.
If
l
= 0,
m
l
= -0 to +0 = 0.
Since
m
l
= +1, this is not OK.
(b) If
n
= 5,
l
= 0 to 5-1 = 0,1,2,3 or 4.
Since
l
= 3, this is OK.
If
l
= 3,
m
l
= -3 to +3 = -3,-2,-1,0,+1,+2,+3.
Since
m
l
= -3, this is OK.
(c) If
n
= 4,
l
= 0 to 4-1 = 0 to 3 = 0,1,2 or 3.
Since
l
= 3, this is OK.