The integrated molar absorptivity (Psi) and the molar extinction coefficient (epsilon) of each infrared transition of the hydrogenated fullerenes (known as fulleranes) C60H36, C70H38 and a mixture of fulleranes generally referred as 77% of C60Hx and 22% C70Hy with x approximate to y > 30 were determined. These data are useful for the search, identification and quantitative determination of fulleranes in space after the recent discovery that their parent molecules C-60 and C-70 are present in certain planetary nebulae and in the interstellar medium. It is shown that the C-H stretching band of fulleranes C60H36, C70H38 and their mixture at about 2905 and 2820 cm(-1) are the most useful for the identification of these molecules because their Psi and epsilon values are unique in terms of strength overcoming by far the typical Psi and epsilon values of reference molecules like adamantane and docosane as well as typical epsilon literature data for aliphatic molecules.