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References

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  1. W. L. Wolfe, Appl. Opt. 9, 2578 (1970).
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1970

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Figures (1)

Fig. 1
Fig. 1

Computer-generated plots of the four sums.

Equations (14)

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Q ¯ 0 - λ = c 1 ( k T / h c ) 3 × r 1 ( x ) A ( x ) ,
q ¯ 0 - λ 2 = c 1 ( k T / h c ) 3 × r 1 ( x ) B ( x ) ,
W ¯ 0 - λ = c 1 · h c ( k T / h c ) 4 × t 1 ( x ) C ( x ) ,
w ¯ 0 - λ 2 = 2 c 1 ( h c ) 2 ( k T / h c ) 5 × u 1 ( x ) D ( x ) ,
x = h c / λ k T 1.44 cm K ÷ ( λ T ) ,
r m ( x ) = e - m x ( m 2 x 2 + 2 m x + 2 ) ,
t m ( x ) = e - m x ( m 3 x 3 + 3 m 2 x 2 + 6 m x + 6 ) ,
u m ( x ) = e - m x ( m 4 x 4 + 4 m 3 x 3 + 12 m 2 x 2 + 24 m x + 24 ) ,
A ( x ) = 1 r 1 ( x ) m = 1 r m ( x ) / m 3 ,
B ( x ) = 1 r 1 ( x ) m = 1 r m ( x ) / m 2 ,
C ( x ) = 1 t 1 ( x ) m = 1 t m ( x ) / m 4 ,
D ( x ) = 1 u 1 ( x ) m = 1 u m ( x ) / m 4 .
k T h c = 1.38 × 10 - 23 j / K 6.626 × 10 - 34 j sec × 3 × 10 10 cm / sec × 300 K = 0 . 694 cm - 1 K - 1 × 300 K = 208.5 cm - 1 , x = h c λ k T = ( 14 × 10 - 4 cm × 208.5 cm - 1 ) - 1 = 3.43 , r 1 ( x ) = exp ( - 3.43 ) ( 3.43 2 + 2 × 3.43 + 2 ) = 0.661.
Q ¯ 0 - 14 μ = ( 1.884 × 10 11 cm / sec ) ( 208.5 cm - 1 ) 3 ( 0.661 ) ( 1.013 ) = 1.15 × 10 18 photons / cm 2 sec .

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