Inorganic Chemistry
Inorganic Chemistry
5th Edition
ISBN: 9781292134147
Author: Housecroft, Catherine E.
Publisher: Pearson,
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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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For this question please solve the first question. Please explain your thought process, the steps you took, and how you would tackle a similar problem. Thank you for your help!

Chapter 1 Solutions

Inorganic Chemistry

Ch. 1 - 1.11 How is the (a) energy and (b) size of an ns...Ch. 1 - 1.12 Write down a set of quantum numbers that...Ch. 1 - Do the three 4p atomic orbitals possess the same...Ch. 1 - How many radial nodes does each of the following...Ch. 1 - 1.15 Comment on the differences between plots of...Ch. 1 - 1.16 Write down the sets of quantum numbers that...Ch. 1 - Write down the three sets of quantum numbers that...Ch. 1 - How many atomic orbitals make up the set with n=4...Ch. 1 - Prob. 19PCh. 1 - (a) Will a plot of R(r) for the 1s atomic orbital...Ch. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Write down the six sets of quantum numbers that...Ch. 1 - For a neutral atom, X, the following atomic...Ch. 1 - Using the concepts of shielding and penetration,...Ch. 1 - For each of the following atoms, write down a...Ch. 1 - 1.27 Draw energy level diagrams (see Fig. 1.15) to...Ch. 1 - 1.28 Write down the ground state electronic...Ch. 1 - Write down (with reasoning) the ground state...Ch. 1 - Draw energy level diagrams to show the ground...Ch. 1 - The ground state electronic configuration of a...Ch. 1 - (a) Write down an equation that defines the...Ch. 1 - 1.33 The first four ionization energies of an atom...Ch. 1 - 1.34 In Fig. 1.16, identify the trend in the first...Ch. 1 - 1.35 Figure 1.17 shows the values of for the...Ch. 1 - Using the data in Table 1.5, determine a value for...Ch. 1 - Prob. 37PCh. 1 - What is the evidence that the aufbau principle is...Ch. 1 - The first list in the table on the left contains...Ch. 1 - Prob. 40PCh. 1 - Using data from appendix 8, construct a graph to...Ch. 1 - The sign convention for electron affinity can...Ch. 1 - Prob. 43PCh. 1 - 1.45 Figure 1.18 shows the emission spectrum of...
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