How to Calculate Bond Distance in OCS Molecules?

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SUMMARY

The discussion focuses on calculating the bond distances in OCS molecules using the formula h/8π²I, where I represents the moment of inertia. Two specific OCS molecules with atomic weights of sulfur (32 amu and 34 amu) have been analyzed, yielding values of h/8π²I at 6081.490E6 [1/s] and 5932.816E6 [1/s]. Participants express difficulty in obtaining the correct bond distances, suggesting that showing the detailed calculations is essential for identifying errors in the methodology.

PREREQUISITES
  • Understanding of molecular physics concepts, particularly bond distances.
  • Familiarity with the moment of inertia in molecular structures.
  • Knowledge of the Planck constant and its application in quantum mechanics.
  • Ability to perform calculations involving angular momentum and rotational spectroscopy.
NEXT STEPS
  • Review the derivation and application of the formula h/8π²I in molecular calculations.
  • Study the concept of moment of inertia in diatomic and polyatomic molecules.
  • Learn about rotational spectroscopy and its relevance in determining bond lengths.
  • Examine examples of bond distance calculations in similar molecular systems.
USEFUL FOR

This discussion is beneficial for chemistry students, molecular physicists, and researchers involved in spectroscopic analysis and molecular structure determination.

fricke
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Homework Statement


Two molecules of OCS (atomic weigh of S is 32 amu and the other one is 34 amu) have values of h/8π2I of 6081.490E6 [1/s] and 5932.816E6 [1/s], respectively. Calculate the C-O and C-S bond distance. (Note that I is moment of inertia)

Homework Equations


h/8π2I

The Attempt at a Solution


I tried to solve this by equating h/8π2I with the given value to find the bond distance. But my answers are apparently wrong (The textbook gives the final answer).
 
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fricke said:

The Attempt at a Solution


I tried to solve this by equating h/8π2I with the given value to find the bond distance. But my answers are apparently wrong (The textbook gives the final answer).
It is impossible to tell what went wrong if you don't show your work.
If the book gives a different final answer, it would also be interesting to see that.
 

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