The rate of approach to steady state in thermogravitational diffusion is investigated for two cylindrical thermogravitational diffusion apparatuses with annular gap widths of 0.65 mm and 1.0 mm, respectively. The mixtures studied are; carbon tetrachloride-cyclohexane, benzene-methanol, and carbon tetrachlorideethanol at a mean temperature of 25 °C. The results confirm earlier conclusions (D.J.Stanford, A.Beyerlein, J. Chem. Phys., 58 (1973), 4338) that the steady state theory of thermogravitational diffusion predicts experimental separations well within experimental error. The investigations also show that the relaxation times, describing the approach to steady state, have a dependence on temperature difference and thermodynamic properties that is accurately predicted by theory. However, the relaxation times appear to vary in proportion to the inverse of the annular gap width to 5.3 ± 0.2 power, rather than to the sixth power as theory predicts. Thus one must calibrate the apparatus for the effect of apparatus dimensions if one wishes to use transient thermogravitational separations to estimate diffusion coefficients. A rather surprising result of this investigation is that as a first approximation the relaxation times are proportional to the isothermal diffusion coefficient but are independent of the thermal diffusion factor. After calibration of the apparatuses the accuracy of the diffusion coefficients estimated from the transient thermogravitational diffusion separations is about 10%.