The formula for estimating the percentage ionic character is:
\[
\text{Percentage Ionic Character} = \frac{\mu_{\text{observed}}}{\mu_{\text{ideal}}} \times 100
\]
Where:
\( \mu_{\text{observed}} \) is the observed dipole moment (given as 2 D),
\( \mu_{\text{ideal}} \) is the ideal dipole moment if the molecule were 100% ionic, calculated as:
\[
\mu_{\text{ideal}} = q \times r
\]
Where:
\( q \) is the charge of the ions \( = 1.6 \times 10^{-19} \, \text{C} \),
\( r \) is the internuclear distance \( = 0.92 \, \text{Å} = 0.92 \times 10^{-10} \, \text{m} \).
Now, calculating the ideal dipole moment:
\[
\mu_{\text{ideal}} = 1.6 \times 10^{-19} \times 0.92 \times 10^{-10} = 1.472 \times 10^{-29} \, \text{C m} = 4.8 \, \text{D}
\]
Now, the percentage ionic character is:
\[
\text{Percentage Ionic Character} = \frac{2}{4.8} \times 100 = 45 %
\]