Polish-born American chemist, corecipient, with Fukui Kenichi of Japan, of the Nobel Prize for Chemistry in 1981 for their independent investigations of the mechanisms of chemical reactions.

Hoffmann immigrated to the United States with his family in 1949. He graduated from Columbia University and received his Ph.D. from Harvard University in 1962. He collaborated with Robert B. Woodward (Woodward, Robert Burns) at Harvard during the next three years and then joined the Cornell University faculty in 1965.

Hoffmann undertook the research leading to his share of the prize when he and Woodward sought an explanation of the unexpected course taken by a reaction that Woodward and his colleagues had hoped to use in the synthesis of the complicated molecule of vitamin B₁₂. Hoffmann and Woodward discovered that many reactions involving the formation or breaking of rings of atoms take courses that depend on an identifiable symmetry in the mathematical descriptions of the molecular orbitals that undergo the most change. Their theory, expressed in a set of statements now called the Woodward-Hoffmann rules, accounts for the failure of certain cyclic compounds to form from apparently appropriate starting materials, though others are readily produced; it also clarifies the geometric arrangement of the atoms in the products formed when the rings in cyclic compounds are broken.