How Is Fractional Charge Calculated in Diatomic Molecules?

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SUMMARY

The calculation of fractional charge in diatomic molecules, specifically H-X (where X is a halogen), is determined using the formula fractional charge = u/(eR), where u is the dipole moment, e is the elementary charge, and R is the bond length. The percent ionic character of the bond is calculated by multiplying the fractional charge by 100%. For example, in HCl, a fractional charge of 0.18 corresponds to an 18% ionic character, with the effective fractional charge on H being +0.18 and on Cl being -0.18. This method can be validated by comparing the ionic character derived from electronegativity differences.

PREREQUISITES
  • Understanding of dipole moments in molecular chemistry
  • Familiarity with the concept of ionic character in chemical bonds
  • Knowledge of elementary charge (e) and its significance
  • Basic principles of electronegativity and its role in bond character
NEXT STEPS
  • Research the calculation of dipole moments in diatomic molecules
  • Learn about the relationship between electronegativity and ionic character
  • Explore advanced topics in molecular orbital theory
  • Study the implications of fractional charge in polar covalent bonds
USEFUL FOR

Chemistry students, molecular physicists, and anyone studying the properties of diatomic molecules and their ionic characteristics.

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Homework Statement


For this problem, I had to find the fractional charge given the dipole moment u and bond length R in a diaomic molecule (H-X, where X is a halogen)... I found that fractional charge by: fractional charge=u/(eR)
where e=elementary charge of an electron

I think that's correct?? So then using that, I said that percent ionic character in the bond is "fractional charge"*100%.

So then to find the effective fractional charge on the H and X atom, is that just +"fractional charge" on the H and -"fractional charge" on X?



So in short, if I found fractional charge between HCl to be 0.18 (would it be ok to do that by doing fractional charge=u/(eR)?), for instance, then percent ionic character would be 18% and effective fractional charge on H would be +0.18 and that on Cl would be -0.18?
 
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Looks good. As a doublecheck, you can compare with the % ionic character computed from the electronegativity difference.
 

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