The potential energy function for either one of the two atoms in a diatomic molecule is oftenapproximated by U(x)ab=x22x11where x is the distance between the atoms.a. At what distance of separation does the potential energy have a local minimum (not at x =Express your answer algebraically.xminb. What is the force on an atom at this separation? F(x= 2min)=N∞)?

Given: where x is the distance between the atoms. Find the derivative of the potential energy…

Answered: The potential energy function for…

The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U(x) = a b x22 x11 where x is the distance between the atoms.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

The potential energy function for either one of the two atoms in a diatomic molecule is often
approximated by U(x)
a
b
=
x22
x11
where x is the distance between the atoms.
a. At what distance of separation does the potential energy have a local minimum (not at x =
Express your answer algebraically.
xmin
b. What is the force on an atom at this separation? F(x
= 2min)=
N
∞)?

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Step 1: To find the local minimum of the potential energy function:

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Step 2: To find the force at this separation x at local minima:

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