Quantum Chemistry/Example 15

Write an example question showing the determination of the bond length of CO using microwave spectroscopy

Example 15:Edit

Part A:

The exact atomic mass of   is 12.011 amu and   is 15.9994 amu [1]. Solve for the reduced mass of   in units of kg.

Solution:

 [2]

 

 

 

 


Part B:

In microwave spectroscopy, the formula of the rotational constant is given below. Rearrange this formula to solve for the bond length.

 [3]

Solution:

 

 

 

 



Part C:

Using the rearranged formula from part B, determine the bond length of   in units of angstrom (A) given that the rotational constant   for   is  [4] .


Solution:

 

 

 

 

 

References:Edit

  1. https://www.angelo.edu/faculty/kboudrea/periodic/structure_mass.htm
  2. https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Exercises%3A_Physical_and_Theoretical_Chemistry/Exercises%3A_Aktins_et_al./12.E%3A_Rotational_and_Vibrational_Spectra_(Exercises)
  3. https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Exercises%3A_Physical_and_Theoretical_Chemistry/Exercises%3A_Aktins_et_al./12.E%3A_Rotational_and_Vibrational_Spectra_(Exercises)
  4. https://webbook.nist.gov/cgi/cbook.cgi?ID=C630080&Mask=1000