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PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON S e r ie s A CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER. YOL. XCVIII. LONDON: Printed for THE ROYAL SOCIETY and Sold by HARRISON AND SONS, Ltd., ST. MARTIN’S LANE,. PRINTERS IN ORDINARY TO HIS MAJESTY. March, 1921. LONDON : HARRISON AND SONS, LTD., PRINTERS IN ORDINARY TO HIS MAJESTY, ST. m a r t in ’s LANE. CONTENTS SERIES A. VOL. XCVIII. PAGE Minutes of Meetings, January to December, 1920............................................................i-xvi No. A 688.—September 1, 1920. The Aspherical Nucleus Theory applied to the Balmer Series of Hydrogen. By L. Silberstein, Ph.D., Lecturer in Mathematical Physics at the University of Rome. Communicated by Prof. J. W. Nicholson, F.R.S......................................... 1 The Catalytic Activity of Copper.—Part I. By W. G. Palmer, St. John’s College, Cambridge. Communicated by Sir William Pope, F.R.S....................................... 13 A Study of Catalytic Actions at Solid Surfaces. Y.—The Rate of Change con ditioned by a Nickel Catalyst and its Bearing on the Law of Mass Action. By E. F. Armstrong, D.Sc., F.R.S., and T. P. Hilditch, D.Sc.................................. 27 The Origin of the “ Cyanogen ” Bands. By S. Barratt. Communicated by Prof. T. R. Merton, F.R.S.............................................................................................. 40 Moving Sti'iations in Neon and Helium. By F. W. Aston, M.A., D.Sc., and T. Kikuchi. Communicated by Prof. Sir E. Rutherford, F.R.S.......................... 50 A Re-examination of the Light scattered by Gases in respect of Polarisation. II.—Experiments on Helium and Argon. By Lord Rayleigh, F.R.S., Professor of Physics, Imperial College of Science, South Kensington ................................... 57 Reduction of Eri'or by Linear Compounding. By W. F. Sheppard, Sc.D., LL.M. Communicated by Prof. E. T. Whittaker, F.R.S. (Abstract.) ........................... 64 No. A 689.—October 1, 1920. Monoclinic Double Selenates of the Copper Group. By A. E. H. Tutton, D.Sc., M.A., F.R.S...................................................................................................................... 67 Arc Spectra in vacuo and Spark Spectra in Helium of Various Elements. By J. C. McLennan, F.R.S., Professor of Physics, University of Toronto, J. F. T. Young, M.A., and H. J. C. Ireton, M.A. (Plate 1) ............................... 95 Spark Spectra of Various Elements in Helium in the Extreme Ultra-Violet. By J. C. McLennan, F.R.S., Professor of Physics, University of Toronto, and A. C. Lewis, M.A. (Plate 2, A.) ............................. ................................................ 109 Note on Vacuum Grating Spectroscopy. By J. C. McLennan, F.R.S., Professor of Physics, University of Toronto. (Plate 2, B.) ...................................................... 114 The Effects of Election Collisions with Atmospheric Neon. By Frank Horton, Sc.D., Professor of Physics in the University of London, and Ann Catherine Davies, M.Sc., Royal Holloway College, Englefield Green. Communicated by C. T. R. Wilson, F.R.S................................................................................................. 124 A 2 No. A 690.—November 3, 1920. PAGB The Absorption of Light by Elements in the State of Vapour : Selenium and Tellurium; Mercury, Zinc, Cadmium ; Phosphorus, Arsenic, Antimony. By Sir J. J. Dobbie, F.R.S., and J. J. Fox, O.B.E., D.Sc. (Plates 3, 4, and 5)....... 147 Photochemical Investigations of the Photographic Plate. By R. E. Slade, D.Sc., F.I.C., and G. I. Higson, M.Sc., A.I.C. Communicated by Prof. J. N. Collie, F.R.S. (Plate 6) ............................................................................................................. 154 Dilatation and Compi’essibility of Liquid Carbonic Acid. By C. F. Jenkin, C.B.E., M.Inst.C.E., Professor of Engineering Science, Oxford. Communicated by Sir J. Alfred Ewing, K.C.B., F.R.S...................................................................................... 170 Radiation in Explosions of Hydrogen and Air. By W. T. David, M.A., D.Sc. Communicated by Prof. H. L. Callendar, F.R.S.............................................. .......... 183 The Aerodynamics of a Spinning Shell. By R. H. Fowler, E. G. Gallop, C. N. H. Lock, and H. W. Richmond, F.R.S. (Abstract) ................................................... 199 On the Vibrations of an Elastic Plate in Contact with Water. By Horace Lamb, F.R.S............................................................................................................................. 205 No. A 691.—December 3, 1920. The Transmission of Electric Waves around the Earth’s Surface. By H. M. Macdonald, F.R.S......................................................................................... 216 Forces in Surface Films. Part I.—Theoretical Considerations. Part II.—Experi mental Observations and Calculations. Part III.—The Charge on Colloids. By A. M. Williams, M.A., D.Sc., Chemistry Department, University of Edinburgh. Communicated by Prof. James Walker, F.R.S. .............................. 223 The Relationship between Pressure and Temperature at the Same Level in the Free Atmosphere. By E. H. Chapman, M.A., D.Sc. Communicated by Sir Napier Shaw, F.R.S.................................................................................................... 235 On the Absorption and Scattering of Light. By Sir Arthur Schuster, F.R.S........... 248 On the Effect of Concentration on the Spectra of Luminous Gases. By T. R. Merton, M.A., D.Sc., F.R.S., Professor of Spectroscopy in the University of Oxford................................................................................................................................ 255 On the Effect of Asymmetry on Wave-length Determinations. By J. W. Nicholson, F.R.S., and T. R. Merton, F.R.S................................................................ 261 No. A. 692.—January 3, 1921. Magnetism and Atomic Structure.—I. By A. E. Oxley, M.A., D.Sc., F.Inst.P., Mackinnon Student of the Royal Society. Communicated by Prof. S. Chapman, F.R.S........................................................................................ 264 On the Measurement of Low Magnetic Susceptibility by an Instrument of New lype. By Ernest Wilson, M.Inst.C.E., M.Inst.E.E. Communicated by Prof. J. W. Nicholson, F.R.S................................................................................................... 274 Double Refraction and Crystalline Structure of Silica Glass. By Lord Rayleigh, I.R.S., Professor of Physics, Imperial College, South Kensington. (Plates 7-9) 284 V PAGE The Magnetic Mechanical Analysis of Manganese Steel. By Sir Robert Hadfield, F.R.S. and Messrs. S. R. Williams and I. S. Bowen, of the Department of Physics, Oberlin College, Oberlin, Ohio, U.S.A.......................................................... 297 The Internal Energy of Inflammable Mixtures of Coal-gas and Air after Explosion. By W. T. David, M.A., D.Sc., Professor of Engineering, University College of South Wales and Monmouthshire. Communicated by Sir Dugald Clerk, F.R.S. 303 Address of the President, Sir J. J. Thomson, O.M., at the Anniversary Meeting, November 30, 1920 ........................................................................................................ 319 No. A 693.—February 2, 1921. The Tidal Motion in the Irish Sea, its Currents and its Energy. By R. O. Street, M.A., M.Sc., Fellow of St. John’s College, Cambridge, and Lecturer in the University of Liverpool. Communicated by Sir Joseph Larmor, F.R.S............ 329 Electrification of an Insulated Lens, treated by the Stream-force-function ; and Allied Problems. By Sir G. Greenhill, F.R.S........................................................... 345 On the Proximity of Atoms in Gaseous Molecules. By A. O. Rankine, D.Sc., Professor of Physics in the Imperial College of Science and Technology. Communicated by Prof. H. L. Callendar, F.R.S....................................................... 360 On the Similarity between Carbon Dioxide and Nitrous Oxide. By A. O. Rankine, D.Sc., Professor of Physics in the Imperial College of Science and Technology. Communicated by Prof. H. L. Callendar, F.R.S........................................................ 369 Experiments on Electron Emission from Hot Bodies. By Sih Ling Ting, M.Sc., Birmingham. Communicated, with a Preface, by Prof. O. W. Richardson, F.R.S...................................... 374 No. A 694.—March 3, 1921. The Ultramicroscopic Structure of Soaps. By W. F. Darke, J. W. McBain, and C. S. Salmon. Communicated by W. B. Hardy, Sec. R.S. (Plates 10 and 11) 395 The Transmission of Electric Waves around the Earth’s Surface. By H. M. Macdonald, F.R.S. ....................................................................................................... 409 A Comparison of Magnetic Declination Changes at British Observatories. By C. Chree, Sc.D., LL.D., F.R.S.................................................................... ................. 411 Siren Harmonics and a Pure Tone Siren. By E. A. Milne and R. H. Fowler. Communicated by Prof. A. V. Hill, F.R.S................................................................. 414 The Stability of Fluid Motion. By T. H. Havelock, F.R.S.......................................... 428 No. A. 695.—March 24, 1921. Obituary Notices of Fellows Deceased :— John William Strutt, Baron Rayleigh (with portrait).......................................... i Emil Fischer (with portrait) ....................................................................................