In the Philosophical Transactions, Vol. 170, pp. 257—274, 1879, one of us has described, in conjunction with Mr. A. K. Huntington, the first use of dry gelatine films, sensitised with silver bromide, for photographing ultra-violet spectra; and the application of the almost continuous spectrum emitted by the metals iron, nickel, and copper to the purpose of examining the ultra-violet absorption spectra of organic compounds. These researches, up to the present* time, have been prosecuted under considerable disadvantages, owing to the impossibility of describing accurately either absorption or emission spectra, by reason of the data for calculating wave-lengths being unfortunately insufficient. The object of this work is to give an exact description of the photographed spectra of some sixteen elementary substances, and to place on record the wave-lengths of so large a number of well-defined metallic lines, together with such other measurements of spectra, that subsequent workers may experience no difficulty in constructing interpolation curves capable of yielding fairly accurate numbers representing wave-lengths. The first measurements of rays of high refrangibility made by means of photography were the determinations of the wave-lengths of the lines of cadmium by M. Mascart (‘Annales de I'École Normale,' vol. iv., 1867). He made use of a Nobert’s grating, a goniometer, and a photographic eye-piece. In addition to the splendid map of the ultra-violet portion of the solar spectrum given us by M. Cornu, we have wave-lengths most carefully calculated for a series of lines in the spectra of the metals cadmium, magnesium, aluminium, and zinc (‘ Annales de l’École Normale,' vol. ix., 1880; and ‘Archives des Sciences Physiques et Naturelles de Genéve,' (3), ii., pp. 119-126). Messrs. Liveing and Dewar, with an improved goniometer and a Rutherfurd grating, have estimated the wave-lengths of the lines of carbon by a modification of Mascart’s method (Proc. Roy. Society, vol. xxxii., 1882). As each line must be cussed independently of the rest of the spectrum and photographed on a different plate, and as the relative positions of the lines on the photographs are varied by very slight alterations in focus and by the removal and replacement of the plates, we have been led to apprehend that there are grave objections to this method of manipulation. The process, moreover, appears to be a lengthy one. In accordance with these views, which are the result of long experience, we have preferred to employ a method similar to that of Cornu.* As much of each spectrum as possible is photographed on one plate, and together with this a series of ideal lines or plain reflections of the slit, each corresponding to a measured angular deviation, from which a scale of wave-lengths may be calculated.