
Further measurements of the cosmic-ray energy spectrum
Author(s) -
P. M. S. Blackett
Publication year - 1937
Publication title -
proceedings of the royal society of london. series a, mathematical and physical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.814
H-Index - 135
eISSN - 2053-9169
pISSN - 0080-4630
DOI - 10.1098/rspa.1937.0052
Subject(s) - curvature , taylor series , distortion (music) , optics , cosmic ray , lens (geology) , physics , geometry , mathematics , mathematical analysis , astrophysics , amplifier , optoelectronics , cmos
The work already described (Blackett and Brode 1936) of determining the energy spectrum of cosmic-ray particles, by measuring the curvature of their tracks with a counter-controlled cloud chamber in a strong magnetic field, has been continued. A new set of 641 tracks in a magnetic field of 12,000-14,000 gauss have been measured, making with the 188 already reported a total of 829 tracks. An expansion ratio of about 1·08 was used, with an argon-oxygen mixture for the gas and with an ethyl alcohol and water mixture for the liquid. In order to avoid the inconveniently large distortions of the lenses previously used, Messrs Taylor, Taylor and Hobson supplied a new pair of 35 mm.f /2 ciné lenses, which were especially adjusted to have a very small distortion, when used with a 1·2 cm. glass plate as the roof of the chamber: fig. 1 shows the distortion curves, that is, the image curvaturec as a function of the displacementx , both for the normal and for these special lenses. The initial slope of the curve for the new lens is about one-fifth of that for the normal lens, while the deviation from linearity is only reduced in much less degree. This confirms the statement (Blackett and Brode 1936, p. 578) of Mr A. Warmisham of Taylor, Taylor and Hobson, Ltd., that the coefficienta 1 of the linear term, which gives the initial slope of the curvec =f (x ), is easily under the designer’s control, whereas the coefficienta 2 of the cubic term, which governs the departure from linearity, is roughly a constant for a given type of lens. The use of these lenses has greatly facilitated the work.