   Chapter 6, Problem 46PS

Chapter
Section
Textbook Problem

How many nodal surfaces through the nucleus (planar nodes) are associated with each of the following atomic orbitals? (a) 4f (b) 2p (c) 6s

(a)

Interpretation Introduction

Interpretation: The number of nodal surfaces passing through the nucleus of the 4f orbitals is to be identified.

Concept introduction:

Nodal surfaces: the surface which passing through nucleus where there is zero chance of finding electrons.

The values of l (azimuthal quantum number) when the principal quantum number is n are from 0 to (n1). Each value of l indicates subshell and for l=0,2 and 3 represents s, d and f subshells.

Explanation

Each value of l indicates subshell. For f subshells, l=2

(b)

Interpretation Introduction

Interpretation: The number of nodal surfaces passing through the nucleus of the 2p orbitals is to be identified.

Concept introduction:

Nodal surfaces: the surface which passing through nucleus where there is zero chance of finding electrons.

The values of l (azimuthal quantum number) when the principal quantum number is n are from 0 to (n1). Each value of l indicates subshell and for l=0,2 and 3 represents s, d and f subshells.

(c)

Interpretation Introduction

Interpretation: The number of nodal surfaces passing through the nucleus of the 6s orbitals is to be identified.

Concept introduction:

Nodal surfaces: the surface which passing through nucleus where there is zero chance of finding electrons.

The values of l (azimuthal quantum number) when the principal quantum number is n are from 0 to (n1). Each value of l indicates subshell and for l=0,2 and 3 represents s, d and f subshells.

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