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Get Full Access to Atkins' Physical Chemistry - 11 Edition - Chapter 7e - Problem P7e.16
Get Full Access to Atkins' Physical Chemistry - 11 Edition - Chapter 7e - Problem P7e.16

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ISBN: 9780198769866 2042

## Solution for problem P7E.16 Chapter 7E

Atkins' Physical Chemistry | 11th Edition

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Atkins' Physical Chemistry | 11th Edition

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Problem P7E.16

The potential energy of the rotation of one $$\mathrm{CH}_{3}$$ group relative to its neighbour in ethane can be expressed as $$V(\phi)=V_{0} \cos 3 \phi$$. Show that for small displacements the motion of the group is harmonic and derive an expression for the energy of excitation from v = 0 to v = 1. (Hint: Use a series expansion for $$\cos 3 \phi$$.) What do you expect to happen to the energy levels and wavefunctions as the excitation increases to high quantum numbers?

Text Transcription:

CH_3

V(phi) = V_0 cos 3phi

cos 3phi

Step-by-Step Solution:
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th February 14 , 2017 Notes, Chapter 4 Continuation of Types of Reactions Precipitation Reaction: double replacement reaction in which a solid (precipitate) is formed in solution Dissociation: break up of a soluble ionic compound into ions in solution Acid/Base Reactions: o Acid/Base Definitions:  Arrhenius: + An acid produces H O 3when added to H O 2 A base produces OH when added to H O 2  Bronsled­Lowry: An acid donated H to another species A base accepts H from another species  Lewis: An acid is an electron pair acceptor A base is an electron donor Solubility Rules Tell us which ionic compounds will dissociate Electrolyte = a solution of ions that conducts electricity o Strength depends on extend of ion formation in solution o Strong electrolyte: nearly 100% dissociation (many ions)  Ex. All soluble ionic compounds in H O, 2trong acids and strong bases  More ions = stronger electrolytes Al(No ) 3 3 ions) > NaCl (2 ions) o Weak electrolyte: only some dissociation (few ions)  Ex. Weak acids and weak bases o Non­electrolyte: no d

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