6.5 Reduced Mass and Vibrational Frequency

Vibrational spectroscopies (Raman, Infrared spectroscopies) measure the transitions between energy levels.

Lecture video on vibrational frequency and reduced mass:

 

6.5.1. What is the relationship between frequency of a vibration and the reduced mass of a molecule?

6.5.2. What is the relationship between wavenumbers and the reduced mass of a molecule?

References / Additional Information:

Reduced Mass and simple harmonic oscillator:

https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Map%3A_Physical_Chemistry_(McQuarrie_and_Simon)/05%3A_The_Harmonic_Oscillator_and_the_Rigid_Rotor/5.01%3A_A_Harmonic_Oscillator_Obeys_Hooke’s_Law

Larkin, P. (2011) Infrared and Raman Spectroscopy: Principles and Spectral Interpretation. Elsevier, Amsterdam. 230 p. ISBN-13: 978-0123869845. Chapter 2. Basic Principles.

https://en.wikipedia.org/wiki/Molecular_vibration

Reduced mass derivation: https://youtu.be/iUwBW4e9n6g

Quantum mechanics playlist: https://www.youtube.com/playlist?list=PLm8ZSArAXicL3jKr_0nHHs5TwfhdkMFhh

https://en.wikipedia.org/wiki/Spectroscopy