Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 1, Problem 1.31E
Interpretation Introduction
Interpretation:
‘None of the above exercises ask to take a derivative with respect to R’, the reason for the statement is to be found out. The reason is to be correlated with the statement ‘we do not define the derivative of R with respect to any other variable’.
Concept introduction:
The
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Consider the following Figure 2 and two atoms that are initially an infinite distance apart, x =00, at which point
the potential energy of the system is U = 0. If they are brought together to x = x, the potential energy is related
to the total force P by
dU
dx
= P
Given this, qualitatively sketch the variation of U with x. What happens at x=x? What is the significance of
x = x, in terms of the potential energy?
0
P, Force
19
Attraction
Total
Repulsion
x, Distance
Figure 2. Variation with distance of the attractive, repulsive, and total forces between atoms. The
slope dP/dx at the equilibrium spacing xe is proportional to the elastic modulus E; the stress σb,
corresponding to the peak in total force, is the theoretical cohesive strength.
Chapter 1 Solutions
Physical Chemistry
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