Active osmium cluster catalysts (derived from Os3(CO)12, H2Os3(CO)10, HaOs4(CO)12, Os6(CO)ls and H2OsloC(CO)24 supported on silica, alumina, titania, and ceria) contain, in their infrared spectra, a band in file region 1930 -1985 cm "~ that is characteristic of the cluster/support combination. The activities of these catalysts for reactions of hydrogen with ethene, carbon monoxide, carbon dioxide, and ethane, relate to their characteristic CO stretching frequencies, giving 'volcano' curves. Evidence from ethene hydrogenation kinetics confirms that the characteristic CO-frequency is a monitor of strength of adsorption at the catalytically active site.