\magnification=\magstep1


$$
{\lambda_{\rm peak}} \quad = \quad {{ 0.0029\ {\rm m \cdot K}}\over{T}}
$$

$$
e^{-{{h\nu}\over{kT}} } \qquad \quad {\rm dominates\ when\ } \quad \quad 
         {h \nu} > {kT}
$$

$$
E(n) \quad = \quad \left( Z^2 \right) \thinspace (-13.6 \ {\rm eV}) \thinspace
               \left( {{1}\over{n^2}} \right)
$$

$$
E_i \quad = \quad KE \quad = \quad {{1}\over{2}} (N m_H) v^2 
$$

$$
E_f \quad = \quad KE \ + \ {\rm thermal\ E} \quad = \quad 
            {{1}\over{2}} (N m_H) \left( {{1}\over{4}} v^2 \right)
     \ + \ 
            {{3}\over{2}} k T \thinspace (N \ + \ 10 N)
$$

$$
T \quad = \quad \left(  {{ {{15}\over{16}} \thinspace m_H \thinspace v^2 } 
                \over {33 \thinspace k}} \right)
$$


\bye
