   Chapter 6, Problem 49GQ

Chapter
Section
Textbook Problem

Give the number of nodal surfaces through the nucleus (planar nodes) for each orbital type: s, p, d, and f.

Interpretation Introduction

Interpretation: The number of nodal surfaces passing through the nucleus of s, p, d and f subshells has to be identified.

Concept introduction:

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

Each value of l indicates subshell and for l=0,1,2 and 3 represents s, p, d and f subshells

Explanation

Each value of l indicates subshell and for l=0,1,2 and 3 represents s, p, d and f subshells

The s subshell has spherical shape and does not have any sharp boundary where the chance of finding electron is zero.

The chance of finding electron is never zero in a s subshell. Therefore, zero nodal surface for s orbital.

For p subshells, l=1 and has dumbbell shape. One nodal surface is passing through the p subshell and thus has two electron density regions

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