Novel compositions, useful as additives to lubricants, are produced by reaction of various reagents with novel polyisobutylene oligimers containing at least one pair of maximally crowded geminal methyl groups. For example, ozonolysis of the novel polyisobutylenes can produce oxygenated derivatives (ketones, esters, alcohols, etc.) which are useful as components of traction fluids. One such alcohol is 1,1,3,3,5,5,7,7-octamethyl-1-octanol, which has been identified by its NMR spectrum and that of its complex with Eu(DPM).sub.3. Other novel compounds are 4,4,6,6,8,8-hexamethyl-2-nonanone and 2,2,6,6,8,8-hexamethyl-4-nonanone.