(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 ( 4πr 2 R(r) 2 ) defines the probability of finding a particle in the distance (r) from another tagged particle. The angular part of the wave function (A ( θ , ϕ )) 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.

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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 (4πr2R(r)2) defines the probability of finding a particle in the distance (r) from another tagged particle.

The angular part of the wave function (A (θ,ϕ)) 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.

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