Enter the force constant (erg/cm^2) and the reduced mass (g) into the Vibrational Frequency Calculator. The calculator will evaluate the Vibrational Frequency. 

Vibrational Frequency Formula

The following two example problems outline the steps and information needed to calculate the Vibrational Frequency.

VF = 1 / (2*pi*c) * SQRT ( k / u ) 

Variables:

  • VF is the Vibrational Frequency (1/cm)
  • k is the force constant (erg/cm^2) 
  • u is the reduced mass (g) 
  • c is the speed of light (29979245800 cm/s)

How to Calculate Vibrational Frequency?

The following steps outline how to calculate the Vibrational Frequency.

  1. First, determine the force constant (erg/cm^2). 
  2. Next, determine the reduced mass (g). 
  3. Next, gather the formula from above = VF = 1 / (2*pi*c) * SQRT ( k / u ) .
  4. Finally, calculate the Vibrational Frequency.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

force constant (erg/cm^2) = 14

reduced mass (g) = 20

VF = 1 / (2*pi*c) * SQRT ( k / u )  = ?