9. Quantum Mechanics

Quantum Numbers: Spin Quantum Number

9. Quantum Mechanics

# Quantum Numbers: Spin Quantum Number - Video Tutorials & Practice Problems

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The **Spin Quantum Number** deals with the spin of an electron within an orbital.

Spin Quantum Number

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concept

## Quantum Numbers: Spin Quantum Number

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example

## Quantum Numbers: Spin Quantum Number Example 1

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Problem

ProblemSelect the correct quantum numbers for the highlighted electrons in a set of 5d orbitals.

A

n = 5, l = 3, m

_{l}= – 4, m_{s}= +1/2B

n = 4, l = 4, m

_{l}= +1, m_{s}= +1/2C

n = 5, l = 2, m

_{l}= +1, m_{s}= +1/2D

n = 5, l = 5, m

_{l}= – 2, m_{s}= +1/2E

n = 5, l = 2, m

_{l}= +5, m_{s}= +1/24

Problem

ProblemWhich of the following set of quantum numbers is possible?

A

n = 8, l = 3 , ml

_{l}= 0, m_{s}= 0B

n = 7, l = 2, m

_{l}= 1, m_{s}= –1/2C

n = 9, l = 1, m

_{l}= – 2, m_{s}= +1/2D

n = 3, l = 0, m

_{l}= +3, m_{s}= +1/2E

n = 4, l = 2, m

_{l}= –2, m_{s}= +15

Problem

ProblemWhich of the following set of quantum numbers is possible for an electron in a set of 6f orbitals?

A

n = 6, l = 3 , ml

_{l}= 0, m_{s}= 0B

n = 6, l = 2, m

_{l}= 1, m_{s}= –1/2C

n = 9, l = 1, m

_{l}= – 2, m_{s}= +1/2D

n = 6, l = 3, m

_{l}= 0, m_{s}= +1/2E

n = 4, l = 2, m

_{l}= –2, m_{s}= +16

Problem

ProblemWhich of the following statements is false?

A

If an electron has n = 2, it possesses only s and p orbitals.

B

Each orbital within a given atom can hold up to 2 electrons.

C

The second shell of an atom possesses d orbitals.

D

A set of f orbitals can hold a maximum of 14 electrons.

E

The first energy level contains only s orbitals.

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PRACTICE PROBLEMS AND ACTIVITIES (13)

- A certain orbital of the hydrogen atom has n = 4 and l = 3. (b) What are the possible values of ms for the orb...
- Give the allowable combinations of quantum numbers for each of the following electrons. (a) A 4s electron (b) ...
- Assign a set of four quantum numbers to each electron in oxygen.
- Determine whether each of the following sets of quantum numbers for the hydrogen atom are valid. If a set is ...
- Which set of three quantum numbers does not specify an orbital in the hydrogen atom?
- Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an...
- Which of the following sets of quantum numbers is not allowed?
- Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom?
- Identify which sets of quantum numbers are valid for an electron. each set is ordered (n,ℓ,mℓ,ms).
- Which one of the following sets of quantum numbers is not possible?
- Identify the set of quantum numbers of each of the following elements
- Select the acceptable sets of quantum numbers in an atom.
- What rule/principle states that electrons fill orbitals from lowest energy to highest energy?