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Analysis and Interpretation of Astronomical Spectra                                           99

the ionisation stage (sect. 11) and the abundance of the generated ions. The first two pa-
rameters can be directly read from the spectrum and compared with the required ionisation
energy (see table below and [33]).

                       Photon                     Elektron

       Star

                               Y

                                                                  Te Ne

       High-energy             Ionisation by UV-                  Electron gas
Radiator Teff>25‘000K          Photons λ<912Å

The kinetic energy of the electrons, released by the ionisation process, heats the nebula

particles. corresponds to the surplus energy of the UV Photons, which remains after

photo ionisation and is fully transformed to kinetic energy of the free electrons. The elec-
tron temperature and -density affect the following recombination- and collision exci-

tation processes. is directly proportional to the average kinetic energy of the free elec-

trons (Boltzmann constant                  ).

Formula {55} yields in Joule with the electron mass                                and .
The short formula {55a} gives directly in electron volts [eV].

22.5 Recombination Process                                               Electron

If an electron hits the ion centrally, it is captured and ends up first                           Photon
mostly on one of the upper excited levels (terms). The energy, gen-
erated this way is emitted as a photon . It corresponds to the                          +ΔEn
sum of the original kinetic energy of the electron and the dis-
crete energy difference due to the distance to the Ionisation
Limit. Since the share of the kinetic energy varies widely, from
the recombination process a broadband radiation is contributed to
the anyway weak continuum emission.

22.6 Line Emission by Electron Transition                                Recombination

After recombination the electron “falls” either directly or via sev-
eral intermediate levels (cascade), to the lowest energy ground

state  . Such transitions generate discrete line emission, ac-                                Photon

cording to the energy difference . Most of these photons                        ΔEn

leave the nebula freely – including those which end in the pixel
field of our cameras! This process cools the nebula, because the
photons remove energy, providing thereby a thermal balance to                        n=1
the heating process by the free electrons. This regulates the elec-
tron temperature in the nebula in a range of ca.
5,000K < < 20,000K [237].

                                                                         Electron Transition
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