Theory of the Fireball
Theory of the Fireball
Theory of the Fireball
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4. ABSORPTION coEFF1c1ms<br />
a. Infrared / / .<br />
The main absorption in <strong>the</strong> infrared is due to free-free electron<br />
transitions. These are treated incorrectly in <strong>the</strong> paper by Meyerott et<br />
16<br />
al., in whicn it is assumed that such transitions occur only in <strong>the</strong><br />
field <strong>of</strong> ions. At. tke important temperatures <strong>of</strong> 8000' or less, <strong>the</strong> degree<br />
<strong>of</strong> ionization is or less. Therefore, <strong>the</strong> free-free transitions in<br />
<strong>the</strong> field <strong>of</strong> neutral atoms and molecules are much more important than<br />
those in <strong>the</strong> field <strong>of</strong> ions, even though each individual atom contributes<br />
far less than each ion.<br />
The effectiveness <strong>of</strong> neutrals in inducing free-free transitions has<br />
18<br />
been measured and interpreted by Taylor and Kivel at<br />
laboratory. As compared to one' ion, <strong>the</strong> effectiveness<br />
tant neutral species is<br />
N2 : 2.2 f 0.3 X<br />
N: 0.9 f 0.h x lo-=!<br />
0: Oe2 f 0.3 X lo-=!<br />
<strong>the</strong> Avco-Everett<br />
<strong>of</strong> <strong>the</strong> most impor-<br />
Thus nitrogen gives about <strong>the</strong> same contribution wne<strong>the</strong>r molecular or<br />
atomic, and <strong>the</strong> contribution <strong>of</strong> oxygen is very small. As a result, one<br />
atom <strong>of</strong> air is equivalent to about a = 0.8 X ion (<strong>of</strong> unit charge).<br />
The free-free absorption coefficient in cm'l is <strong>the</strong>n<br />
cLf f<br />
= 0.87 x 10 (%) 2(e-)(hv)-3<br />
= 7.0 T '-I/* (b) 2( e-) (hv) -3<br />
1<br />
I