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But isn't the fluorine atoms has lone pairs so that BF3 can also behave as a nucleophile when it reacts with another electrophile?
So, that molecule can act as both electrophile and nucleophile depending on the conditions?
Furthermore, in BF3 the nucleophilicity of the fluorine is severely decreased by the presence of the electron deficient boron. The empty p-orbital on the boron pulls a lot of the electron density away from the fluorines so that they don't have a lot of electron density to donate in a reaction with an electrophile. So, it will be a very poor nucleophile and for all intents and purposes you will not have to worry about the fluorines acting as nucleophiles.
But isn't NH3 an electrophile as it also possess electrophilic H atoms? How come HBr is an electrophile?