
Atmosphere diagram showing the troposphere and other layers. The layers are 'not to scale'.
The 'troposphere' is the lowest portion of
Earth's atmosphere. It is the densest layer of the atmosphere and contains approximately 75% of the mass of the atmosphere and almost all the
water vapor and
aerosols.
The troposphere extends from the Earth's surface up to the
tropopause, where the
stratosphere begins. The depth of the troposphere is greatest in the tropical regions (up to 20 km) and smallest at the poles (about 7 km in summer, indistinct in winter). The lower part, where
friction on the Earth's surface influences with air flow, is the
planetary boundary layer which may be up to 2 km high depending on the
landform and time of day. The border of the troposphere and stratosphere, the tropopause, is a
temperature inversion.
[1]
The word troposphere stems from the
Greek "tropos" for "turning" or "mixing." The troposphere is the most
turbulent part of the atmosphere and is the part of the atmosphere in which most
weather phenomena are seen. The troposphere is stirred by
convection currents driven by heat from the Sun.
Pressure and temperature structure
Composition
The composition of the troposphere is essentially uniform. A notable exception is
water vapor. The proportion of water vapor is normally greatest near the surface and decreasing with height. This is mainly because the temperature of the troposphere decreases with height, and
saturation vapor pressure decreases strongly with temperature; however, the average decrease is greater than that due to the removal of water vapor by
precipitation.
Pressure
The pressure of the atmosphere is maximum at the surface and decreases with higher altitude. This is because
hydrostatic equilibrium (which the atmosphere is always very near to) requires the pressure to equal the weight of air above a given point. The change in pressure with height therefore can be equated to the density with this
hydrostatic equation:
[2]
:
where:
:
★ ''g'' stands for the
standard gravity
:
★ ''ρ'' stands for
density
:
★ ''z'' stands for height
:
★ ''p'' stands for pressure
:
★ ''R'' stands for the
gas constant
:
★ ''T'' stands for temperature
:
★ ''m'' stands for the molar mass
Since temperature in principle also depends on altitude, one needs a second equation to determine the pressure as a function of height, as discussed in the next section.
Temperature
Main articles: Lapse rate
The
temperature of the troposphere generally decreases with altitude. The rate at which the temperature decreases,
, is called the
lapse rate. The reason for this decrease is as follows. When the air is stirred by convection, and a parcel of air rises, it expands, because the pressure is lower at higher altitudes. As the air parcel expands, it pushes on the air around it, doing
work; but generally it does not gain
heat in exchange from its environment, because its
thermal conductivity is low (such a process is called
adiabatic). Since the parcel does work and gains no heat, it loses
energy, and so its temperature decreases. (The reverse, of course, will be true for a sinking parcel of air.)
Since the heat exchanged dQ is related to the
entropy change dS by dQ=T dS, the equation governing the temperature as a function of height for a thoroughly mixed atmosphere is
:
where ''S'' is the
entropy. The rate at which temperature decreases with height under such conditions is called the adiabatic
lapse rate.
For ''dry'' air, which is approximately an
ideal gas, we can proceed further. The adiabatic equation for an ideal gas is
[3]
:
where
is the
heat capacity ratio (
=7/5, for air). Combining with the equation for the pressure, one arrives at the
dry adiabatic lapse rate,
[4]
:
If the air contains
water vapor, then cooling of the air can cause the water to condense, and the behavior is no longer that of an ideal gas. If the air is at the
saturated vapor pressure, then the rate at which temperature drops with height is called the
saturated adiabatic lapse rate. More generally, the actual rate at which the temperature drops with altitude is called the
environmental lapse rate.
In the troposphere, the average environmental lapse rate is a drop of about 6.5 °C for every 1 km (1000 meters) increase in height.
Depending on the weather conditions, one may find that the environmental lapse rate (the actual rate at which temperature drops with height,
) is not equal to the adiabatic lapse rate (or correspondingly, that
). If the upper air is warmer than predicted by the adiabatic lapse rate (
), then when a parcel of air rises and expands, it will arrive at the new height at a lower temperature than its surroundings. In this case, the air parcel is denser than its surroundings, so it sinks back to its original height, and the air is stable against being stirred. Such a situation is called
temperature inversion, and can lead to the trapping of air pollution in basins such as that of
Los Angeles. If, on the contrary, the upper air is cooler than predicted by the adiabatic lapse rate, then when the air parcel rises to its new height it will have a higher temperature and a lower density than its surroundings, and will float. Such a process can happen spontaneously, and under such conditions, the air will be stirred by spontaneous
convection currents.
Temperatures decrease at middle latitudes from an average of 15°C at sea level to about -55°C at the beginning of the
tropopause. At the
poles, the troposphere is thinner and the temperature only decreases to -45°C, while at the
equator the temperature at the top of the troposphere can reach -75°C.
Tropopause
Main articles: Tropopause
The tropopause is the boundary region between the troposphere and the stratosphere.
Measuring the temperature change with height through the troposphere and the stratosphere identifies the location of the tropopause. In the troposphere, temperature decreases with altitude. In the stratosphere, however, the temperature remains constant for a while and then increases with altitude. The region of the atmosphere where the lapse rate changes from positive (in the troposphere) to negative (in the stratosphere), is defined as the tropopause.
Thus, the tropopause is an
inversion layer, and there is little mixing between the two layers of the atmosphere.

An idealised view of three large circulation cells.
Atmospheric circulation
Main articles: Atmospheric circulation
The basic structure of large-scale circulation in the troposphere remains fairly constant. There are three convection cells in each hemisphere: the
Hadley cell, the
Ferrel cell, and the Polar cell, which guide the prevailing
winds, thereby transporting heat from the equator to the poles.
References
1. Danielson, Levin, and Abrams, ''Meteorology'', McGraw Hill, 2003
2. Landau and Lifshitz, ''Fluid Mechanics'', Pergamon, 1979
3. Landau and Lifshitz, ''Statistical Physics Part 1'', Pergamon, 1980
4. Kittel and Kroemer, ''Thermal Physics'', Freeman, 1980; chapter 6, problem 11
External links
★
The vertical structure of the atmosphere
★
Composition of the Atmosphere, from the University of Tennessee Physics dept.
★
Chemical Reactions in the Atmosphere