Abstract

A nomogram has been constructed for the determination of blackbody radiancy and of peak and total intensities for spectral lines with Doppler contour. The basic equations used for the construction of the nomogram and the use of the nomogram are described briefly. A method is outlined for determining absolute values of total intensities for spectral lines with combined Doppler and resonance contour by using the nomogram in conjunction with the “curves of growth.”

© 1953 Optical Society of America

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References

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  1. See, for example, “Planck Radiation Functions and Electronic Functions” prepared by W.P.A. for City of New York, under sponsorship of the National Bureau of Standards, 1941.
  2. R. Ladenburg, Z. Physik 65, 200 (1930). The quantity ζ is plotted as a function of I/R0in Fig. 2.
  3. See, for example, A. Unsöld, Physik der Stematmosphären (Edwards Brothers, Inc., Ann Arbor, 1948), p. 168.

1930 (1)

R. Ladenburg, Z. Physik 65, 200 (1930). The quantity ζ is plotted as a function of I/R0in Fig. 2.

Ladenburg, R.

R. Ladenburg, Z. Physik 65, 200 (1930). The quantity ζ is plotted as a function of I/R0in Fig. 2.

Unsöld, A.

See, for example, A. Unsöld, Physik der Stematmosphären (Edwards Brothers, Inc., Ann Arbor, 1948), p. 168.

Z. Physik (1)

R. Ladenburg, Z. Physik 65, 200 (1930). The quantity ζ is plotted as a function of I/R0in Fig. 2.

Other (2)

See, for example, A. Unsöld, Physik der Stematmosphären (Edwards Brothers, Inc., Ann Arbor, 1948), p. 168.

See, for example, “Planck Radiation Functions and Electronic Functions” prepared by W.P.A. for City of New York, under sponsorship of the National Bureau of Standards, 1941.

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Figures (2)

F. 1
F. 1

Nomogram for the determination of blackbody radiancy, and peak and total emitted intensities of spectral lines with Doppler contour.

F. 2
F. 2

The self-absorption parameter ξ as a function of I/R0.

Equations (9)

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S / c = 2.3789 × 10 7 × ( 273.1 / T ) f cm 2 atmos 1 .
R 0 = ( 2 π h c 2 / λ 5 ) [ exp ( h c / k λ T ) 1 ] 1 ,
I I max = R 0 { 1 exp [ ( S X / c ) λ ( m c 2 / 2 π k T ) 1 2 ] } ,
A = ( λ / ζ ) I max ( 2 π k T / m c 2 ) 1 2 ,
ζ = { ( P max X ) n = 0 [ ( n + 1 ) 1 2 ( n + 1 ) ! ] 1 ( P max X ) n } 1 × [ 1 exp ( P max X ) ]
P max = S ( m / 2 π k T λ 2 ) 1 2 .
a = γ / Δ ω D .
( S X / c ) λ ( m c 2 / 2 π k T ) 1 2 ln [ 1 ( I / R 0 ) ]
( A ω / 2 Δ ω D ) a / ( A ω / 2 Δ ω D ) a = 0 = A a / A ,