   # If one electron in an orbital has quantum numbers n = 3, ℓ = 2. m l = − 1, and m s = +1/2, what are the quantum numbers for the other electron in that orbital? (a) n = 3 , ℓ = 2 , m ℓ = −1, m s = +1/2 (b) n = 3 , ℓ = 2 , m ℓ = −1, m s = −1/2 (c) n = 3 , ℓ = 2 , m ℓ = 0, m s = −1/2 (d) n = 3 , ℓ = 1 , m ℓ = −1, m s = +1/2 ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 7.1, Problem 2RC
Textbook Problem
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## If one electron in an orbital has quantum numbers n = 3, ℓ = 2. ml = − 1, and ms = +1/2, what are the quantum numbers for the other electron in that orbital? (a) n = 3, ℓ = 2, mℓ = −1, ms = +1/2 (b) n = 3, ℓ = 2, mℓ = −1, ms = −1/2 (c) n = 3, ℓ = 2, mℓ = 0, ms = −1/2 (d) n = 3, ℓ = 1, mℓ = −1, ms = +1/2

Interpretation Introduction

Interpretation:

The correct quantum number should be identified given the statement of different set of quantum numbers and orbital configuration.

Concept Introduction:

Electronic configuration: The electronic configuration is the distribution of electrons (e-) of a given molecule or respective atoms in atomic or molecular orbitals.

Quantum numbers: These terms are explained for the distribution of electron density in an atom. They are derived from the mathematical solution of Schrodinger’s equation for the hydrogen atom.  The types of quantum numbers are the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (ml) and the electron spin quantum number (ms). Each atomic orbital in an atom is categorized by a unique set of the quantum numbers.

### Explanation of Solution

Reasons for in correct options:

Let us consider the electronic configuration (s,p,d) shells.

n=1s-orbitals(2electrons)n=2p-orbitals(6electrons)n=3d-orbitals(10electrons)theformula  2(n)2=18electrons(n=3)

Heren=3d-orbitalsl=2 (Here angular momentumof d-orbitals)

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