Center frequency formulation of the blackbody radiation spectrum
Tóm tắt
The blackbody radiation spectrum is described in terms of a resonance curve that is composed of an excitation function, x5, and a damping function, e−x, where x=hν/kT. The energy radiated per unit area per second is expressed as E(ν, T)dν=Kνx5e−xdν. This mathematically simple and physically transparent formulation reproduces the features of the blackbody radiation curve and contains the valid temperature radiation laws. With the help of that formula, the blackbody radiation spectrum is also expressed in terms of the previously introduced Center Frequency concept. We derive a Center Frequency Law of Blackbody Radiation and use it to calculate the Stefan-Boltzmann radiation constant in close agreement with the best available data.
Tài liệu tham khảo
M. Planck, Verhandlungen der Deutschen Physikalischen Gesellschaft, 14. Dezember 1900.
H. Rubens und F. Kurlbaum, Sitzungsberichte der Kgl. Akad. Der Wissenschaften, Berlin, 25. Oktober 1900, p. 929.
M. Planck, Annalen der Physik (Serie4), p. 553, ibid. M. Planck, Annalen der Physik (Serie4), p. 564 (1901).
W. W. Forsythe,Smithsonian Physical Tables, 9th Revised Edition, Table 56 of Smithsonian Misc. Collections, Vol.120, Washington D. C. (1954).
J. N. Plendl, Phys. Rev.119, 1598 (1960).
J. N. Plendl, Phys. Rev.123, 1172 (1961).
H. H. Landolt & R. Boernstein,Zahlenwerte und Funktionen, New Edition, Vol. 1, Sec. 1210. Springer Verlag, Berlin (1954).
J. N. Plendl and P. J. Gielisse, Monograph, Marcus O'Day Memorial Series. USAF Cambridge Research Laboratories, Bedford, Massachusetts (1963).
E. Schrödinger,Statistical Mechanics, Ch. 9. Cambridge University Press, Cambridge (1952).