13.4: Homework Problems Chapter 8

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Homework Problems

Section 1

Exercise 1

How many microstates exist for the electron configurations

a) p³

b) f²

c) d³

Answer

a) p³- 6!/((6-3)!3!) = 20

b) f²-14!/((14-2)!2!)=91

c) d³-10!/((10-3)!3!)=120

Exercise 2

What is the term symbol for the one term associated with the following electron configurations?

a) p⁶

b) p¹

c) f¹⁴

d) s¹

Answer

a) p⁶ - ¹S

b) p¹ - ²P

c) f¹⁴- ¹S

d) s¹ - ²S

Exercise 3

What is the number of microstates for a

a) ⁵D term

b) ⁴G term

c) ²F term

Answer

a) (2L+1)(2S+1) = 5 x 5 = 25

b) (2L+1)(2S+1) = 9 x 4 = 36

c) (2L+1)(2S+1) = 7 x 2 = 14

Exercise 4

In a triplet term there are

a) only microstates with unpaired electrons.

b) only microstates with paired electrons.

c) microstates with paired and unpaired electrons.

Answer: c) microstates with paired and unpaired electrons.

Exercise 5

In a singlet term there are

a) only microstates with unpaired electrons.

b) only microstates with paired electrons.

c) microstates with paired and unpaired electrons.

Answer: b) only microstates with paired electrons.

Dr. Kai Landskron (Lehigh University). If you like this textbook, please consider to make a donation to support the author's research at Lehigh University: Click Here to Donate.