Please explain why decreasing the total energy of the system make atoms more likely to stick together

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section19.3: Thermal Expansion
Problem 19.3CE
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Please explain why decreasing the total energy of the system make atoms more likely to stick together 

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