We can use the classical harmonic oscillator to think about molecular bonds. The HCl molecule has a force constant k = 481 N/m. For the mass, use the reduced mass, which is defined as µ = (m₁m₂)/(m₁+m₂). a) Plot the potential energy of HCl from -1 to 1 Å. What happens to the curvature of the potential as the force constant is varied? What does this mean physically? b) Plot position as a function of time for a total energy of 6 x 10-20 J. What is the period of the motion? How does the period change as the force constant is varied? Explain why this makes sense physically.
We can use the classical harmonic oscillator to think about molecular bonds. The HCl molecule has a force constant k = 481 N/m. For the mass, use the reduced mass, which is defined as µ = (m₁m₂)/(m₁+m₂). a) Plot the potential energy of HCl from -1 to 1 Å. What happens to the curvature of the potential as the force constant is varied? What does this mean physically? b) Plot position as a function of time for a total energy of 6 x 10-20 J. What is the period of the motion? How does the period change as the force constant is varied? Explain why this makes sense physically.
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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
Transcribed Image Text:We can use the classical harmonic
oscillator to think about molecular bonds. The
HCI molecule has a force constant k = 481
N/m. For the mass, use the reduced mass,
which is defined as µ = (m₁m₂)/(m₁+m₂).
a) Plot the potential energy of HCl from -1 to
1 Å. What happens to the curvature of the
potential as the force constant is varied? What
does this mean physically?
b) Plot position as a function of time for a total
energy of 6 x 10-20 J. What is the period of the
motion? How does the period change as the
force constant is varied? Explain why this
makes sense physically.
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