A PIB derivative suitable for use as a fuel additive or lubricant additive prepared from a reactive low molecular weight polyisobutylene composition comprising at least 50 mol percent alpha vinylidene terminated polyisobutylene molecules, the composition having a polydispersity of no more than 1.5 and a number average molecular weight of at least 500 Daltons and no more than 1000 Daltons. The derivative is selected from the group consisting of: alkyl hydroxyaromatic compounds; alkyl alkoxy aromatic compounds; polyisobutenylsuccinic anhydrides; polyisobutenylsuccinimides; PIB-amine compounds; sulfurized PIB compounds; and Mannich condensation products of an alkylated hydroxyaromatic compound.

A PIB derivative suitable for use as a fuel additive or lubricant additive prepared from a reactive low molecular weight polyisobutylene composition comprising at least 50 mol percent alpha vinylidene terminated polyisobutylene molecules, the composition having a polydispersity of no more than 1.5 and a number average molecular weight of at least 500 Daltons and no more than 1000 Daltons. The derivative is selected from the group consisting of: alkyl hydroxyaromatic compounds; alkyl alkoxy aromatic compounds; polyisobutenylsuccinic anhydrides; polyisobutenylsuccinimides; PIB-amine compounds; sulfurized PIB compounds; and Mannich condensation products of an alkylated hydroxyaromatic compound.