Calculating Reduced Mass of Molecules

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SUMMARY

The reduced mass of molecules, such as HCl, is calculated using the masses of the constituent atoms rather than the individual protons and electrons. The formula for reduced mass is defined as 1/μ = 1/m1 + 1/m2, where m1 and m2 represent the masses of the atoms involved. In practical applications, especially for larger molecules, the difference between using atomic masses and considering subatomic particles is negligible. This conclusion is supported by the discussion surrounding the problem from "Modern Spectroscopy" by Hollas.

PREREQUISITES
  • Understanding of the concept of reduced mass in physics
  • Familiarity with atomic mass units (amu)
  • Basic knowledge of molecular structure and composition
  • Experience with spectroscopy principles
NEXT STEPS
  • Study the application of reduced mass in quantum mechanics
  • Explore the role of reduced mass in vibrational spectroscopy
  • Learn about the calculation of reduced mass for polyatomic molecules
  • Investigate the differences between atomic mass and molecular mass in chemical reactions
USEFUL FOR

Students and professionals in chemistry and physics, particularly those focused on molecular spectroscopy and quantum mechanics, will benefit from this discussion.

astrosona
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[SOLVED] reduced mass?!

Hi there,

I know the reduced mass is defining with the below formula:

\frac{1}{\mu} = \frac{1}{m _{1}} + \frac{1}{m_{2}} + ...

In Bohr's radius when i want to find the \mu i use the
m1 = mass of electron
m2 = mass of poroton

but what if i need to find the reduced mass of a molecule like HCI ?
do i have to take the masses of all electrons and protons the molecule has or do i have to just take the masses of C & H & I?

I need it to solve the problem 1.5 page 26 from book: Modern Spectroscopy by Hollas

thanks
sona
 
Last edited:
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ok, i found the answer myself!

yes! i was correct! the reduced mass of molecules are been calculated as what i thought the other day. we just use the mass of the atoms without thinking of the protons and electrons...actually the mass of the atom is the real mass not the reduced mass. The point is for the big molecules like HCl or ... the difference between the reduced mass calculated by taking the real mass of element atoms or the reduced mass of the elem atoms is too small to be considered.

so for example for HCl: (1/ miu) = (1/mass of H) + (1/ mass of Cl)

cooooooooool! ha?
 

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