P18.14 Calculate the frequency and wavelength of the radiation absorbed when a quantum harmonic oscillator with a frequency of 3.15 × 10¹3 s¹ makes a transition from the -1 2 to the n = 3 state. n =

P18.14 Calculate the frequency and wavelength of the radiation absorbed when a quantum harmonic oscillator with a frequency of 3.15 × 10¹3 s¹ makes a transition from the -1 2 to the n = 3 state. n =

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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Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

Question

**Problem P18.14**

Calculate the frequency and wavelength of the radiation absorbed when a quantum harmonic oscillator with a frequency of \(3.15 \times 10^{13} \, \text{s}^{-1}\) makes a transition from the \(n = 2\) to the \(n = 3\) state.

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