 Kistiakowsky attended private schools in Kiev and Moscow until the Russian Revolution broke out in 1917. He then joined the anti-Communist White Army. In 1920 he escaped from Russia in a commandeered French ship. After spending time in Turkey and Yugoslavia, he made his way to Germany, where he enrolled at the University of Berlin later that year. In 1925, he earned his PhD in physical chemistry under the supervision of Max Bodenstein, writing his thesis on the photochemical decomposition of chlorine monoxide and ozone. He then became Bodenstein's graduate assistant. His first two published papers were elaborations of his thesis, co-written with Bodenstein.
