Assume an isothermal atmosphere in hydrostatic equilibrium, with constant gravity , mean molecular weight , and an ideal gas equation of state. Use for the atmospheric scale height, to distinguish it from the total observable height . Then
so the cloud-top pressure in an isothermal atmosphere is
An opaque, approximately grey exoplanet cloud deck can flatten the exoplanet transmission spectrum if the remaining gas above it has little wavelength-dependent extinction. If its top nearly reaches the observable atmospheric extent, , this gives . More generally, a top at atmospheric scale heights has ; illustrative values and give and .
A flat exoplanet transmission spectrum and alone do not determine a unique cloud-top pressure. The temperature, gravity, mean molecular weight and cloud altitude, or equivalent opacity information, are also needed. A large mean molecular weight can itself suppress spectral features, so the exoplanet cloud deck interpretation is conditional.