To determine the correct order of ionic radii among the given options, let's first understand the concept of ionic radii and compare ions based on their size:
- Concept of Ionic Radii:
- The ionic radius of an ion is a measure of its size, which varies due to the gain or loss of electrons during ion formation.
- Anions (negatively charged ions) are generally larger than their parent atoms because the addition of electrons increases repulsion among electrons, leading to an expansion of the electron cloud.
- Cations (positively charged ions) are smaller than their parent atoms because the loss of electrons reduces electron-electron repulsion, allowing the electron cloud to contract closer to the nucleus.
- Comparing Ionic Radii:
- \(Na^+\) has lost one electron, resulting in a smaller radius than both \(F^-\) and \(O^{2-}\).
- \(F^-\): Gained one electron, so it is larger than \(Na^+\) and smaller than \(O^{2-}\).
- \(O^{2-}\): Gained two electrons, making it the largest among the three.
- Correct Order of Ionic Radii:
- Therefore, the order for the ionic radii from largest to smallest is \(O^{2-} > F^- > Na^+\).
Conclusion: The correct order is \(O^{2-} > F^- > Na^+\), which corresponds to the second option.