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Suggest reasons why the B–F bond lengths in `BF_(3)` (130 pm) and `BF_(4 )^(– )`(143 pm) differ.

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The B–F bond length in `BF_(3)` is shorter than the B–F bond length in . `BF_(3)BF_(4)^(-)` is an electron-deficient species. With a vacant p-orbital on boron, the fluorine and boron atoms undergo `ppi–ppi` back-bonding to remove this deficiency. This imparts a double- bond character to the B–F bond.
image
This double-bond character causes the bond length to shorten in `BF_(3)` (130 pm). However, when `BF_(3)` coordinates with the fluoride ion, a change in hybridisation from `sp^(2)`
`("in" BF_(3))` to `sp^(3)` `("in" BF_(4)^(-))` occurs. Boron now forms `4sigma` bonds and the double-bond character is lost. This accounts for a B–F bond length of 143 pm in `overset(BF_(4)^(-))(ion)`.
image

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