Problem

1. State the four quantum numbers and the possible values they may have.

2. Name the orbitals described by the following quantum numbers

a. n = 3, L = 0
b. n = 3, L = 1
c. n = 3, L = 2
d. n = 5, L = 0

3. Give the n and L values for the following orbitals

a. 1s
b. 3s
c. 2p
d. 4d
e. 5f

4. Place the following orbitals in order of increasing energy:

1s, 3s, 4s, 6s, 3d, 4f, 3p, 7s, 5d, 5p

5. What and the possible m_L values for the following types of orbitals?

a. s
b. p
c. d
d. f

6. How many possible orbitals are there for n =

a. 4
b. 10

7. How many electrons can inhabit all of the n=4 orbitals?

8. Tabulate all of the possible orbitals (by name, i.e. 4s) for n=4 and give the three quantum numbers which define each orbital.

9. Write electron configurations for the following atoms:

a. H
b. Li
c. N
d. F
e. Br

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Answer

1.     n may be any integer
L may be any integer from 0 to n-1
m_L may be any integer from -L to +L
m_S may be either + 1/2 or -1/2

2.     a. 3s
b. 3p
c. 3d
d. 5s

3.     a. n=1, L=0
b. n=3, L=0
c. n=2, L=1
d. n=4, L=2
e. n=5, L=3

4.    1s, 3s, 3p, 4s, 3d, 5p, 6s, 4f, 5d, 7s

5.     a. 0
b. 1, 0, -1
c. 2, 1, 0, -1, -2
d. 3, 2, 1, 0, -1, -2, -3

6.     a. 16
b. 100

7.        32

8.

name	4s	4p	4p	4p	4d	4d	4d	4d	4d	4f	4f	4f	4f	4f	4f	4f
n	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4
L	0	1	1	1	2	2	2	2	2	3	3	3	3	3	3	3
mL	0	1	0	-1	2	1	0	-1	-2	3	2	1	0	-1	-2	-3

9. a.    1s¹
b.    1s² 2s¹ or He 2s¹
c.    1s² 2s² 2p_x¹ 2p_y¹ 2p_z¹ or He 2s² 2p_x¹ 2p_y¹ 2p_z¹ or He 2s² 2p³
d.    1s² 2s² 2p_x¹ 2p_y² 2p_z² or He 2s² 2p_x¹ 2p_y² 2p_z² or He 2s² 2p⁵
e.    Ar 4s² 4p_x¹ 4p_y² 4p_z²

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