Catalysis by nucleic acids is indispensable for extant cellular life, and it is widely accepted that nucleic acid enzymes were crucial fort he emergence of primitive life 3.5-4b illion years ago. However,g eochemicalc onditions on early Earth must have differed greatlyf rom the constant internal milieus of today's cells. In order to explore plausible scenarios for early molecular evolution, it is therefore essential to understand how different physicochemical parame-ters, such as temperature,p H, and ionic composition, influence nucleic acidc atalysis and to explore to what extent nucleic acid enzymes can adapt to non-physiological conditions. In this article, we give an overview of the research on catalysis of nucleic acids, in particularc atalytic RNAs (ribozymes) and DNAs( deoxyribozymes), under extreme and/or unusualc onditions that may relate to prebiotic environments.[a] Dr.