   Chapter 7, Problem 12PS

Chapter
Section
Textbook Problem

What is the maximum number of electrons that can be identified with each of the following sets of quantum number? In some cases, the answer may be “none”. In such cases, explain why “none” is the correct answer. (a) n = 3 (b) n = 3 and ℓ = 2 (c) n = 4, ℓ = 1, mℓ = ‒1, and ms = +1/2 (d) n = 5, ℓ = 0, mℓ = ‒1, ms = +1/2

a)

Interpretation Introduction

Interpretation:

The maximum electron has to be calculated given the different quantum numbers and using its values.

Concept Introduction:

Electronic configuration: The electronic configuration is the distribution of electrons of an given molecule or respective atoms in atomic or molecular orbitals. We consider the electronic configuration of neon atom is 1s22s22p6, the electronic configurations describes each electrons as moving independently orbitals, an average filed created ay all other 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
• The principle quantum number: n = 3
• Azimuthal quantum number: l = 0, 1, and 2, indicates all s-, p-, and d-orbital.
• Magnetic quantum number: ml, indicates orientation of s-orbitals in space of an orbital of an given energy (n) and shape (l). This number divides the subshell into individual orbitals which hold the electrons; there are 2l+1 orbitals in each subshell.

For,l=0(2l+1)=2(0)+1=1sorbital

b)

Interpretation Introduction

Interpretation:

The maximum electron has to be calculated given the different quantum numbers and using its values.

Concept Introduction:

Electronic configuration: The electronic configuration is the distribution of electrons of an given molecule or respective atoms in atomic or molecular orbitals. We consider the electronic configuration of neon atom is 1s22s22p6, the electronic configurations describes each electrons as moving independently orbitals, an average filed created ay all other 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.

b)

Interpretation Introduction

Interpretation:

The maximum electron has to be calculated given the different quantum numbers and using its values.

Concept Introduction:

Electronic configuration: The electronic configuration is the distribution of electrons of an given molecule or respective atoms in atomic or molecular orbitals. We consider the electronic configuration of neon atom is 1s22s22p6, the electronic configurations describes each electrons as moving independently orbitals, an average filed created ay all other 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.

c)

Interpretation Introduction

Interpretation:

The maximum electron has to be calculated given the different quantum numbers and using its values.

Concept Introduction:

Electronic configuration: The electronic configuration is the distribution of electrons of an given molecule or respective atoms in atomic or molecular orbitals. We consider the electronic configuration of neon atom is 1s22s22p6, the electronic configurations describes each electrons as moving independently orbitals, an average filed created ay all other 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.

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