Chapter 1, Problem 43P

Interpretation Introduction

Interpretation:

(a) Fig. 1.9 have to be modified to show boundary surfaces for the 2s and the 3p wave functions of a one electron species and (b) the probability of finding the electron of a ground state hydrogen atom at a distance r from proton is at a maximum when r = 52.9 pm, this statement is compatible with the maximum in the value of R(r) at r = 0 is to be explained.

Concept Introduction:

Radial node is a spherical region where the probability of finding an electron is zero. The number of radial nodes increases as n increases.

An orbital is a mathematical function called a wave function that gives detail of an electron in an atom. Radial wave functions for a given atom depend only upon the distance, r from the nucleus.

The radial distribution function (${\text{4πr}}^{\text{2}}{\text{R(r)}}^{\text{2}}$) defines the probability of finding a particle in the distance (r) from another tagged particle.

The angular part of the wave function (A ($\theta ,\varphi$)) is one spatial component of the electronic Schrödinger wave equation, it describes the motion of an electron.

It depends on angular variables, θ and ϕ, and describes the direction of the orbital that the electron may occupy.