6.5: The Modern View of Electronic Structure: Quantum Mechanics

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Quantum Numbers

Exercise \(\PageIndex{1}\)

What is the value of the orbital angular momentum quantum number (l) for an electron in a 4f orbital?

a. 1 b. 4 c. 2 d. 3 e. 0

Answer: d. 3

Exercise \(\PageIndex{2}\)

How many orbitals have the following set of quantum numbers: n = 5, l= 3, m_l= –1?

a. 0 b. 1 c. 3 d. 6 e. 7

Answer: b. 1 orbital

Exercise \(\PageIndex{3}\)

Which of the following sets of quantum numbers is not allowed?

n = 4, l = 2, m_l = -2
n = 6, l = 1, m_l = 1
n = 5, l = 4, m_l = -4
n = 2, l = 1, m_l = -3
n = 6, l = 3, m_l = -2

Answer: d. n = 2, l = 1, m_l = -3

Exercise \(\PageIndex{4}\)

What is the total number of orbitals having n = 3 and l= 2?

1 orbital
3 orbitals
5 orbitals
7 orbitals
10 orbitals

Answer: a. 1 orbital

Exercise \(\PageIndex{5}\)

How many f orbitals are in the n = 4 shell?

5 f orbitals
8 f orbitals
3 f orbitals
1 f orbital
7 f orbitals

Answer: e. 7 f orbitals

Exercise \(\PageIndex{6}\)

What type of orbital is designated n = 4, l= 2, m_l= 2?

a. 4f b. 4d c. 4p d. 4g e. 4s

Answer: b. 4d

Exercise \(\PageIndex{7}\)

Which type of orbital is designated n = 2 and l= 1?

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

Answer: a. 2p

Exercise \(\PageIndex{8}\)

Which of the following orbital can be represented by n = 4, l= 3, and m_l = –2?

a. 4s b. 4p c. 4d d. 4f e. None of these

Answer: d. 4f

Exercise \(\PageIndex{9}\)

A possible value of the magnetic quantum number m_lfor a 5p electron is

a. 1 b. 4 c. 5 d. -6 e. 3

Answer: a. 1

Exercise \(\PageIndex{10}\)

How many values are there for the magnetic quantum number (m_l) when the value of the angular momentum quantum number (l) is 4?

a. 11 b. 9 c. 2 d. 4 e. 15

Answer: b. 9

Exercise \(\PageIndex{11}\)

What is the total number of subshells found in the n = 7 shell?

a. 7 b. 49 c. 6 d. 8 e. 9

Answer: a. 7 subshells

Exercise \(\PageIndex{12}\)

Which of the following sets of quantum numbers refers to a 4d orbital?

n = 2, l = 1, m_l = -1
n = 2, l = 4, m_l = -1
n = 4, l = 2, m_l = -1
n = 4, l = 3, m_l = 0
n = 4, l = 3, m_l = +2

Answer: c. n = 4, l = 2, m_l = -1

Exercise \(\PageIndex{13}\)

The (principal quantum number) n = ____ shell is the lowest that may contain s-orbitals.

a. 1 b. 2 c. 3 d. 4 e. 5

Answer: a. 1

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