Hindawi Publishing Corporation
International Journal of Atmospheric Sciences
Volume 2013, Article ID 503727, 26 pages
http://dx.doi.org/10.1155/2013/503727
Research Article
Radiation and Heat Transfer in the Atmosphere:
A Comprehensive Approach on a Molecular Basis
Hermann Harde
Laser Engineering and Materials Science, Helmut-Schmidt-University Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany
Correspondence should be addressed to Hermann Harde; harde@hsu-hh.de
Received 29 April 2013; Accepted 12 July 2013
Academic Editor: Shaocai Yu
Copyright © 2013 Hermann Harde. his is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the interaction of infrared active molecules in the atmosphere with their own thermal background radiation as well
as with radiation from an external blackbody radiator. We show that the background radiation can be well understood only in
terms of the spontaneous emission of the molecules. he radiation and heat transfer processes in the atmosphere are described
by rate equations which are solved numerically for typical conditions as found in the troposphere and stratosphere, showing the
conversion of heat to radiation and vice versa. Consideration of the interaction processes on a molecular scale allows to develop
a comprehensive theoretical concept for the description of the radiation transfer in the atmosphere. A generalized form of the
radiation transfer equation is presented, which covers both limiting cases of thin and dense atmospheres and allows a continuous
transition from low to high densities, controlled by a density dependent parameter. Simulations of the up- and down-welling
radiation and its interaction with the most prominent greenhouse gases water vapour, carbon dioxide, methane, and ozone in
the atmosphere are presented. he radiative forcing at doubled CO
2
concentration is found to be 30% smaller than the IPCC-value.
1. Introduction
Radiation processes in the atmosphere play a major role in
the energy and radiation balance of the earth-atmosphere
system. Downwelling radiation causes heating of the earth’s
surface due to direct sunlight absorption and also due to
the back radiation from the atmosphere, which is the source
term of the so heavily discussed atmospheric greenhouse or
atmospheric heating efect. Upward radiation contributes to
cooling and ensures that the absorbed energy from the sun
and the terrestrial radiation can be rendered back to space
and the earth’s temperature can be stabilized.
For all these processes, particularly, the interaction of
radiation with infrared active molecules is of importance.
hese molecules strongly absorb terrestrial radiation, emitted
from the earth’s surface, and they can also be excited by some
heat transfer in the atmosphere. he absorbed energy is rera-
diated uniformly into the full solid angle but to some degree
also re-absorbed in the atmosphere, so that the radiation
underlies a continuous interaction and modiication process
over the propagation distance.
Although the basic relations for this interaction of
radiation with molecules are already well known since the
beginning of the previous century, up to now the correct
application of these relations, their importance, and their
consequences for the atmospheric system are discussed quite
contradictorily in the community of climate sciences.
herefore, it seems necessary and worthwhile to give a
brief review of the main physical relations and to present on
this basis a new approach for the description of the radiation
transfer in the atmosphere.
In Section 2, we start from Einstein’s basic quantum-
theoretical considerations of radiation [1] and Planck’s radi-
ation law [2] to investigate the interaction of molecules with
their own thermal background radiation under the inluence
of molecular collisions and at thermodynamic equilibrium
[3, 4]. We show that the thermal radiation of a gas can be
well understood only in terms of the spontaneous emission
of the molecules. his is valid at low pressures with only few
molecular collisions as well as at higher pressures and high
collision rates.