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A nucleophile wants anything positively charged, whereas a an electrophile wants electrons. This is directly related to lewis acids and bases; it's basically another way to refer to them. For example a general chemist might call NH3 a a base because it's a proton acceptor and it can donate its lone electron pair. An organic chemist, on the other hand, would call it a nucelophile for the same exact reasons.
Electrophiles are electron deficient, look for positive charges. Nucleophiles are electron rich and will often have lone pairs and or negative charges. All bases are nucleophiles and all acids are electrophiles, though their strength as such may vary from weak, immeasurable, to incredible strong.
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