To determine the order of Lewis acid character in boron trihalides, we need to understand the concept of Lewis acids. A Lewis acid is a compound that can accept an electron pair. In the context of boron trihalides, the central boron atom is electron-deficient and can accept electron pairs from donor molecules.
The Lewis acidity of boron trihalides (\( BX_3 \), where \( X \) is a halogen) is significantly influenced by the electronegativity and the size of the halogen atom:
- The electronegativity of the halogen affects the electron-withdrawing ability of the halogen. Higher electronegativity means stronger electron withdrawal, reducing the electron deficiency of boron, and thus decreasing Lewis acidity.
- The size of the halogen determines the ability of the halogen atoms to back-donate electron density to the empty p-orbital of boron. Larger halogen atoms are less effective at back donation due to poorer overlap with boron's orbitals.
Let's consider each boron trihalide:
- \( \text{BF}_3 \): Fluorine is highly electronegative, which results in strong electron withdrawal from boron. However, due to extensive back-donation from the fluorine atoms, \( \text{BF}_3 \) is not as strong a Lewis acid as expected.
- \( \text{BCl}_3 \): Chlorine is less electronegative compared to fluorine, with less effective back-donation, making \( \text{BCl}_3 \) a stronger Lewis acid than \( \text{BF}_3 \).
- \( \text{BBr}_3 \): Bromine is less electronegative and larger than chlorine, leading to poorer back-donation, making \( \text{BBr}_3 \) a stronger Lewis acid than both \( \text{BCl}_3 \) and \( \text{BF}_3 \).
- \( \text{BI}_3 \): Iodine is the least electronegative and the largest atom, resulting in the weakest back-donation. Hence, \( \text{BI}_3 \) is the strongest Lewis acid among the boron trihalides listed.
Based on the above explanations, the order of Lewis acid character of boron trihalides is: \(BI_3 > BBr_3 > BCl_3 > BF_3\).
Therefore, the correct answer is:
\(BI _3> BBr _3> BCl _3> BF _3\)