Open AccessAdditional triplets and other series lines in the spectrum of magnesium
Author(s) -
A. Fowler,
W. H. Reynolds
Publication year - 1913
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1913.0072
Subject(s) - series (stratigraphy) , balmer series , line (geometry) , mathematics , spectrum (functional analysis) , constant (computer programming) , geometric series , spectral line , mathematical analysis , physics , power series , emission spectrum , geometry , quantum mechanics , computer science , paleontology , programming language , biology
Recent photographs of the spectrum of the magnesium arcin vacuo , taken primarily for the investigation of enhanced lines, have revealed several additional members of the triplet and single line series. For some of the previously known lines it has also been possible to obtain improved wave-lengths on account of their greater sharpness under these conditions. It is believed that the results will form a useful contribution to the general study of series lines, and they have accordingly been brought together in the present communication. For the representation of the series, the Ritz formula, as modified by Mogendorff and Hicks, has been employed, namelyn =n ∞ — 109675/(m +μ +α /m )2 , wheren gives the oscillation frequencies of successive lines corresponding to integer values ofm ;n ∞ is the convergence frequency, or limit, of the series; 109,675 is the general series constant derived from the Balmer series of hydrogen lines;μ andα are constants to be determined for each series. In some cases, it has been necessary to introduce an additional termβm -2 in the denominator, as found by Hicks, in order to represent the lines with greater accuracy.