Assuming the vibrations of a ¹4N2 molecule are equivalent to those of a harmonic oscillator with a force constant kr = 2293.8 N/m, what is the zero-point energy of vibration of this molecule? Use m(¹4N) = 14.0031 mu.

Assuming the vibrations of a ¹4N2 molecule are equivalent to those of a harmonic oscillator with a force constant kr = 2293.8 N/m, what is the zero-point energy of vibration of this molecule? Use m(¹4N) = 14.0031 mu.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 51AP

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

Assuming the vibrations of a ¹4N2 molecule are equivalent to those of a harmonic oscillator
with a force constant kr = 2293.8 N/m, what is the zero-point energy of vibration of this
molecule? Use m(14N) = 14.0031 mu.

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