The radial wavefunction for a 3d hydrogen atom electron is given Bel 7/2 4 R(r) = 81. V30 1 p2.e-r13a, a. Use the following integral relation and the orbital's radial probability function to calculate the average distance between the nucleus and the electron. n! S.e"dr = an+1 -a'r %3D

The radial wavefunction for a 3d hydrogen atom electron is given Bel 7/2 4 R(r) = 81. V30 1 p2.e-r13a, a. Use the following integral relation and the orbital's radial probability function to calculate the average distance between the nucleus and the electron. n! S.e"dr = an+1 -a'r %3D

Chemistry: Principles and Practice

3rd Edition

ISBN:9780534420123

Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer

Chapter7: Electronic Structure

Section: Chapter Questions

Problem 7.60QE

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Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

Question

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1. The radial wavefunction for a 3d hydrogen atom electron is given below.
7/2
4
1
R(r):
81 V30
a
Use the following integral relation and the orbital's radial probability function to calculate
the average distance between the nucleus and the electron.
n!
So . e""dr

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