Planck's Radiation Formula Derived without Atomicity

Abstract

IN a recent paper1 I expressed the fourth-power law of temperature radiation in a form analogous to the relativity expression of the laws of motion, so that the implication of unobservable absolute radiation was eliminated. In this expression temperature was measured by the rate of reception by a specified instrument of a quantity dη, corresponding to what is usually called entropy, time being measured on a thermal time-scale in which equal times correspond to equal receptions of η by a standard thermal clock. It then appeared that what is usually regarded as the absolute entropy radiated (that is aθ4/θ), which was denoted by dÏ, was invariant under changes of temperature of the η-measuring instrument and 'thermal clock' according to transformation equations which were derived.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.

from$8.99

All prices are NET prices.

References

  1. 1

    Phil. Mag., 35, 499 (1944).

  2. 2

    "Radiation and the Quantum Theory" (second ed.), 29.

  3. 3

    Nature, 144, 888 (1939); 146, 391 (1940).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

DINGLE, H. Planck's Radiation Formula Derived without Atomicity. Nature 157, 515 (1946) doi:10.1038/157515b0

Download citation

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.