ABSTRACT
T (r) = (To — To,) 1-(r1 R)2 1[1+ S (r R)3 1+ . The expression of U(r) through T(r) assures that A(r) decreases monotonically. The plasma emissivity K at the line maximum was then determined for different values of a, b, c, E i, S, To, and T„,, and compared with Kap. In the particular case where the local thermodynamic equilibrium (LTE) exists, T(r) and U(r) are functions only of T(r) with L (r) =-ET, I T (r)' exp [—(EAT, )(To IT (r) —1)1 and U(r)-=_TolT(r)lexpi-(E„IkTo )(TolT(r)-1)_
RESULTS
The numerical tests show that Kap / Ka, <1.03 for a<2. The ratio Ka, / Kax decreases and tends to one by increasing the value of a. These results are independent of the existence of LTE, and are valid for the resonance lines too. For instance, for the mercury line 5461 A assuming LTE with T0=6000 K, T„=1000 K, and S=0 (parabolic profile), it was found that a=1.18, Kex=0.761, and Kap / ic,=1.019. In figure 1 the radial profiles of L(r) and U(r) are depicted for the resonance line of thallium 3776 A with a=100, b=20, c=-0.5, To=5800 K, T„=1200 K, and S=11. Figure 2 gives the corresponding radial temperature distribution. In this case it was found that a=5.208, Ka„=0.143, and Kap / K,„=1.0006.
