Charged-particle diffusion theory of the positive column of a gas discharge predicts the establishment of a radial electric field, which by the second-order Stark effect produces a shift of the atomic line center in a single-frequency helium-neon laser. These frequency shifts are estimated with a simple theory. The results are: i) the atomic line center is a function of radial position in the discharge tube; ii) the magnitude of the frequency shift is proportional to (Tₑ/R)²(where Teis the electron temperature andRis the tube radius); iii) the pressure dependence of the shift is via changes in Te; and iv) the frequency shifts are independent of discharge current.
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Frederick J. Mayer (1967) studied this question.
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