Letter | Published:

Difficulty of Long-Wave Transmission in Summer

Naturevolume 134page701 (1934) | Download Citation

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Abstract

THADÉE PECZALSKI has developed a theory of sub-electrons1 which explains the absorption of electromagnetic waves by charged small particles. The result, it seems to me, can be found intuitively, so to say, by considering Langevin's formula for the energy of radiation of an electromagnetic wave when a particle of mass M carrying a charge e collides with a gas molecule of mass m. The energy is given byThis function “ is regular, that is, uniform and continuous in the interval of integration. A function of this type translates into the language of function theory the principle of conservation of momentum and energy. The arguments of the function undergo transformations that maintain a certain invariance of the function due to the quadratic form of the integrand. Here the asymptotic method2 may be utilised, as we are concerned with a periodical phenomenon. The function expressing the kinetic energy has been shown by Peczalski to bewhere F is the external field, “t the period between two successive impacts of a molecule and a charged particle. An asymptotic series will approach a limit ; in this case the limit will be &epsilonmacr; - RT/N with the well-known meanings of R, T and N. The Planck formula of radiationshows that should be very small, that is, the radiant waves must be very long. The small particles carrying charges will be absorbing energy like resonators (Peczalski's result).

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References

  1. 1

    C.R., July 4, 1927.

  2. 2

    NATURE, 134, 216, Aug. 11, 1934. A misprint occurring there may be corrected: for .

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  1. Mathematical Society, University College of Science, 92, Upper Circular Road, Calcutta

    • S. C. BAGCHI

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https://doi.org/10.1038/134701a0

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