Adiabatic atmosphere

From Glossary of Meteorology

adiabatic atmosphere

(Or dry-adiabatic atmosphere;
also called convective atmosphere, homogeneous atmosphere.) A model atmosphere characterized by a dry-adiabatic lapse rate throughout its vertical extent.

Such a condition is never observed and is also rather poorly designated, since "adiabatic" represents a process, not a condition. The pressure in an adiabatic atmosphere decreases with height according to
where p0 and T0 are the pressure and temperature (K), respectively, at sea level, z the geometric height, Rd the gas constant for dry air, cpd the specific heat of dry air at constant pressure, and g the acceleration of gravity.
See homogeneous atmosphere.