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Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James ISBN: 9780198769866 2042

Solution for problem P11F.7 Chapter 11F

Atkins' Physical Chemistry | 11th Edition

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Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James

Atkins' Physical Chemistry | 11th Edition

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Problem P11F.7

Assume that the states of the \(\pi\) electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by \(\mu=-e x\). Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin \(y=\frac{1}{2} \cos (x-y)\) − \(\frac{1}{2} \cos (x+y)\). Relevant integrals are given in the Resource section.

Text Transcription:

pi

mu=-ex

y=frac12cosx-y

frac12cosx+y

Step-by-Step Solution:
Step 1 of 3

GENERAL CHEMISTRY I – DR. STREIT Week of February 21, 2016 February 23, 2016 Ionic Bonding  Electrostatic attraction that holds oppositely charged ions together in an ionic compound (salts) o Transfer of electrons o Generally a metal with a nonmetal o Gain or lose electrons to fill an octet o Form large crystalline solids where each cation is surrounded by an anion, etc o High melting points o Do not conduct electricity in solid state  Electrons cannot flow in a rigid structure, and electricity is defined as the flow of charged particles  It does conduct in liquid or gas form because electrons are free flowing o Brittle o Mostly soluble in water o Measured with Coulomb’s law  Energy needed to dissociate ions  Lattice energy- measures ionic stability (depends on magnitudes of charge and distance)  The greater the product of charges of ions in a compound, the greater the attractive forces, therefore, the higher the melting point  The bigger the ions, the greater the distance between ions, therefore, the attractive forces are weaker thus lowering the melting point o Formation of ionic bonds releases a large amount of energy  Higher lattice energy, smaller radius o Neutral o Chemical form

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Chapter 11F, Problem P11F.7 is Solved
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Textbook: Atkins' Physical Chemistry
Edition: 11
Author: Atkins, Peter; De Paula, Julio; Keeler, James
ISBN: 9780198769866

The full step-by-step solution to problem: P11F.7 from chapter: 11F was answered by Aimee Notetaker, our top Chemistry solution expert on 04/25/22, 03:45PM. Atkins' Physical Chemistry was written by Aimee Notetaker and is associated to the ISBN: 9780198769866. This textbook survival guide was created for the textbook: Atkins' Physical Chemistry, edition: 11. The answer to “?Assume that the states of the \(\pi\) electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by \(\mu=-e x\). Show that the transition probability for the transition n = 1 ? n = 2 is non-zero, whereas that for n = 1 ? n = 3 is zero. Hints: The following relation will be useful: sin x sin \(y=\frac{1}{2} \cos (x-y)\) ? \(\frac{1}{2} \cos (x+y)\). Relevant integrals are given in the Resource section.Text Transcription:pimu=-exy=frac12cosx-yfrac12cosx+y” is broken down into a number of easy to follow steps, and 100 words. Since the solution to P11F.7 from 11F chapter was answered, more than 201 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 327 chapters, and 1120 solutions.

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