When consumers or firms don’t face the true social cost of their actions, market outcomes are inefficient. In the case of negative externalities, Pigouvian taxes are one way to correct this market failure, but it may be infeasible to tax the externality directly. The alternative, taxing a related product, will be second-best. In this paper, we show that in the presence of heterogeneous externalities and elasticities, this type of indirect tax performs poorly. In our empirical application, gasoline taxes to address pollution externalities, less than a third of the deadweight loss of the externality is addressed by second-best optimal taxes. (JEL D62, H21, H23, H71, H76, Q53, R48)