Practice Questions Using Quantum Number Theory
1. How many electrons are mathematically possible if n=3_______, if n=1______
2. How many suborbitals are mathematically possible if n=2______, if n=3 _______
3. How many types of suborbitals are possible if n=2_________, if n=4 ________
4. What is the maximum number of electrons mathematically possible, given the following principle
and secondary quantum combinations? 2p______, 5p______, 7s______, 6f________
5. Circle the suborbitals which do not theoretically exist: 3f, 2p, 5s, 2d, 5p, 3d, 1p, 3d, 6f
6. Write all possible sets of quantum values (n, l, ml, ms), that mathematically could represent an
electron found in each of the following suborbitals:
a) For a 5p electron
b) For a 3s electron
7.
8.
a)
9.
a)
10.
What are the possible values for l, when:
a) n=4 _____________ b) n=1 _________ c) n=3___________
What are the possible values for ml, when:
n=4, l=3 ______________ b) n=3, l=1 ___________ c) n=2, l=0 ______ d) n=5, l=4
_______________________
Write the principle quantum number and the letter designating the secondary quantum number
(ie. the shape of the suborbital), for each of the following:
n=2, l=1 _____ b) n=3, l=2 _______c) n=4, l=3 ______d) n=1, l=0 ______ e) n=4, l=1______
State whether each of the following sets of quantum numbers are possible or impossible. For any
values that are incorrect, state the correction necessary to make it theoretically possible:
a) n=3, l=3, ml= -1, ms = +1/2
b)
n=3, l=1, ml =0, ms=0
c)
n=1, l=0, ml=+1, ms= -1
d)
n=2, l=1, ml= -2, ms= -1/2
e)
n=5, l=2, ml = -1, ms = -1/2