Grüneisen's constant, γ, is ideally temperature‐independent on constant‐volume lines; a similar constant, λ, which is ideally temperature‐independent on isobaric lines, has been found. The comparison between γ and λ shows that both expressions contain the ratio of the volumetric thermal expansion coefficient to the specific heat capacity; γ has an additional temperature dependence due to the thermal part of the compressibility, whereas λ has only a slight thermal component due to the volume per unit mass. λ has been chosen so that λ=γ at the point where the temperature and pressure are both zero. For most materials it is expected that λ≥γ with a different temperature dependence. It is shown empirically for a selection of ceramics that λ is nearly temperature‐independent and has a val