We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion. The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule. This is a good approximation when E < 4 × 10-¹⁹. Since mµ << mci, we assume that the hydrogen atom oscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of the HCl molecule using information in the figure below. Potential energy (J) 4 X 10-19- 3 x 10-19- 2x 10-19. 1 X 10-19- 0.08 0.10 0.12 0.14 0.16 Bond length (nm)

We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion. The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule. This is a good approximation when E < 4 × 10-¹⁹. Since mµ << mci, we assume that the hydrogen atom oscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of the HCl molecule using information in the figure below. Potential energy (J) 4 X 10-19- 3 x 10-19- 2x 10-19. 1 X 10-19- 0.08 0.10 0.12 0.14 0.16 Bond length (nm)

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Question

We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion.
The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule.
This is a good approximation when E < 4 ×10^−19. Since mH << mCl, we assume that the hydrogen atom
oscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of the
HCl molecule using information in the figure below.

Problem 3:
We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion.
The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule.
This is a good approximation when E < 4 × 10-1⁹. Since mµ << mci, we assume that the hydrogen atom
oscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of the
HCI molecule using information in the figure below.
Potential energy (J)
4 X 10-19-
3 X 10-19-
2 X 10-19-
1 X 10-19-
0.08 0.10 0.12 0.14 0.16
Bond length (nm)

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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