The potential energy of a diatomic molecule (a two-atom system like H2 or 02) is given by the Lennard-Jones potential U = A - B .12 76' where r is the separation of the two atoms of the molecule and A and B are positive constants. This potential energy is associated with the force that binds the two atoms together. (a) Find the equilibrium separation - that is, the distance between the atoms at which the force on each atom is zero. (b) What is the second derivative of the potential at the equilibrium position? (c) Given your answer to (b), is this equilibrium stable, unstable, or neutral? (a) ľeq = d ²u (b) dr2 r=req (a) req %3D (b) dr? r=reg (c)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section: Chapter Questions
Problem 46P: A child of mass m starts from rest and slides without friction from a height h along a curved...
icon
Related questions
icon
Concept explainers
Question
100%

Check both images please if possible.

The potential energy of a diatomic molecule (a two-atom system like H2 or 02) is given by the Lennard-Jones potential
U = A - B
.12
76'
where r is the separation of the two atoms of the molecule and A and B are positive constants. This potential energy is associated
with the force that binds the two atoms together. (a) Find the equilibrium separation - that is, the distance between the atoms at
which the force on each atom is zero. (b) What is the second derivative of the potential at the equilibrium position? (c) Given your
answer to (b), is this equilibrium stable, unstable, or neutral?
(a) ľeq =
d ²u
(b)
dr2
r=req
Transcribed Image Text:The potential energy of a diatomic molecule (a two-atom system like H2 or 02) is given by the Lennard-Jones potential U = A - B .12 76' where r is the separation of the two atoms of the molecule and A and B are positive constants. This potential energy is associated with the force that binds the two atoms together. (a) Find the equilibrium separation - that is, the distance between the atoms at which the force on each atom is zero. (b) What is the second derivative of the potential at the equilibrium position? (c) Given your answer to (b), is this equilibrium stable, unstable, or neutral? (a) ľeq = d ²u (b) dr2 r=req
(a) req
%3D
(b)
dr?
r=reg
(c)
Transcribed Image Text:(a) req %3D (b) dr? r=reg (c)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Refraction of light
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning