INDEX TO VOLUME 222 (A)Application of the Whitehead theory of relativity to non-static, spherically symmetrical

systems (Rayner), 509.Ash well, D. G. A characteristic type of instability in the large deflexions of elastic plates.

III. Curved rectangular plates in axial compression, 44.

Bhabha’s equation for a particle of two mass states in Rarita-Schwinger form (Gupta), 118.

Bradbury, J. H. & Melville, H. W. The co-polymerization of styrene and butyl acrylate in benzene solution, 456.

Bragg, Sir Lawrence, Howells, E. R. & Perutz, M. F. The structure of haemoglobin. II, 33.

Broida, H. P. & Gaydon, A. G. The Herzberg bands of 0 2 in an oxygen afterglow and in the night-sky spectrum, 181.

Browne, B. C. Gravity measurements and oceanic structure (discussion), 398.Bullard, E. C. A comparison of oceans and continents (discussion), 403.Bullard, E. C. and others. A discussion on the floor of the Atlantic Ocean, 287.Bullard, Sir Edward. The flow of heat through the floor of the Atlantic Ocean, 408.

Callomon, H. J. & Thompson, H. W. Vibration-rotation bands and molecular constants of carbonyl sulphide, 431.

Carman, P. C. & Haul, R. A. W. Measurement of diffusion coefficients, 109.Characteristic type of instability in the large deflexions of elastic plates. III. Curved

rectangular plates in axial compression (Ashwell), 44.Characteristics of some lower Palaeozoic marine sediments (Jones) (discussion), 327.Charlesby, A. Gel formation and molecular weight distrihutioh in long-chain polymers,

542.Charlesby, A. The cross-linking and degradation of paraffin chains by high-energy

radiation, 60.Comparison of oceans and continents (Bullard) (discussion), 403.Co-polymerization of styrene and butyl acrylate in benzene solution (Bradbury &

Melville), 456.Copson, E. T. The reflexion of sound waves of finite amplitude by a rigid wall, 254.Cross-linking and degradation of paraffin chains by high-energy radiation (Charlesby),

60.Crustal structure beneath oceanic islands (Woollard) (discussion), 361.

Darwin, Sir Charles. Electron inertia and terrestrial magnetism, 471.Deepest sounding in the North Atlantic (Lyman) (discussion), 334.Detachment of electrons from negative ions (Hasted), 74.Dirac-IIeisenberg theory of vacuum polarization (Valatin), 228.Discussion on the floor of the Atlantic Ocean (Bullard et al.), 287.Distribution of temperature along a thin rod electrically heated in vacuo. I. Theoretical

(Jain & Krishnan), 167.

Edge, W\ L. Geometry in three dimensions over GF (3), 262.Egerton, Sir Alfred & Lefebvre, A. H. Flame propagation: the effect of pressure variation

on burning velocities, 206.Elcock, E. W. The temperature variation of diamagnetic susceptibility, 239.Electrodynamics without potentials (Infeld & Plebanski), 224.Electron inertia and terrestrial magnetism (Darwin), 471.Explicit formula for the calculation of fractional parentage coefficients (Redmond), 84.

[ 563 ]

Flame propagation: the effect of pressure variation on burning velocities (Egerton & Lefebvre), 206.

Floor of the Atlantic Ocean (discussion) (Bullard al.), 287.Flow of heat through the floor of the Atlantic Ocean (Bullard), 408.

Gallagher, K. J., Ubbelohde, A. R. & Woodward, Ida. The hydrogen bond in crystals. IX. The isotope effect in ace tylenedicar boxy lie acid dihydrate, 195.

Gaskell, T. F. Seismic refraction work by H.M.S. Challenger in the deep oceans (discus­sion), 356.

Gaydon, A. G. See Broida & Gaydon.Gel formation and molecular weight distribution in long-chain polymers (Charlesby), 542.Geological evidence on the nature of ocean floors (Lees) (discussion), 400.Geological hypotheses and the earth’s crust under the oceans (Hess) (discussion), 341.Geometry in three dimensions over OF (3) (Edge), 262.Goldsbrough, G. R. Wind effects on the motion of the sea in an infinite channel and in

a rectangular gulf, 477.Gravity measurements and oceanic structure (Browne) (discussion), 398.Gupta, K. K. Bhabha’s equation for a particle of two mass states in Rarita-Schwinger

form, 118.

Harries, W. L. & von Engel, A. The role of light quanta in the electric breakdown of gases, 490.

Hasted, J. B. The detachment of electrons from negative ions, 74.Haul, R. A. W. See Carman & Haul.Herzberg bands of 02 in an oxygen afterglow and in the night-sky spectrum (Broida &

Gaydon), 181.Hess, H. H. Geological hypotheses and the earth’s crust under the oceans (discussion),

341.High-velocity turbidity currents (Shepard) (discussion), 323.Hill, M. N. & Laughton, A. S. Seismic observations in the eastern Atlantic, 1952

(discussion), 348.Howells, E. R. See Bragg, Howells & Perutz.Hydrogen bond in crystals. IX. The isotope effect in acetylenedicarboxylic acid di­

hydrate (Gallagher, Ubbelohde & Woodward), 195.

Infeld, L. & Plebanski, J. Electrodynamics without potentials, 224.

Jain, S. C. & Krishnan, Sir K. S. The distribution of temperature along a thin rod electrically heated in vacuo. I. Theoretical, 167.

Jones, O. T. The characteristics of some lower Palazeozoic marine sediments (discussion), 327.

King, W. B. R. Remarks On pebbles from the deep Atlantic and on the structure of the English Channel (discussion), 333.

Krishnan, Sir K. S. See Jain & Krishnan.Kuenen, Ph. H. Recent advances in deep-sea sedimentology (discussion), 289.

Laboratory measurements of seismic velocities in ocean sediments (Laughton) (discus­sion), 336.

Laughton, A. S. Laboratory measurements of seismic velocities in ocean sediments (discussion), 336.

Laughton, A. S. See Hill & Laughton.Lees, G. M. The geological evidence on the nature of ocean floors (discussion), 400.Lefebvre, A. H. See Egerton & Lefebvre.

564 Index

Index 565Lighthill, M. J. On sound generated aerodynamically. II. Turbulence as a source of

sound, 1.Lyman, J. The deepest sounding in the North Atlantic (discussion), 334.

Measurements of diffusion coefficients (Carman & Haul), 109.Melville, H. W. See Bradbury & Melville.

Nuclear magnetic resonance investigation of w-pentane, w-hexane and cyc/opentane (Rushworth), 526.

Pebbles from the deep Atlantic and the structure of the English Channel (King) (discussion), 333.

Perutz, M. F. See Bragg, Howells & Perutz.Pickworth, Jenny & Thompson, II. W. Vibration-rotation bands of methyl fluoride, 443.Plebanski, J. See Infeld & Plebanski.

Rae, Helen & Robinson, A. E. Spiral growths on large crystal surfaces, 558.Rayner, C. B. The application of the Whitehead theory of relativity to non-static,

spherically symmetrical systems, 509.Recent advances in deep-sea sedimentology (Kuenen) (discussion), 289.Redmond, P. J. An explicit formula for the calculation of fractional parentage coef­

ficients, 84.Reflexion of sound waves of finite amplitude by a rigid wall (Copson), 254.Robinson, A. E. See Rae & Robinson.Role of light quanta in the electric breakdown of gases (Harries & von Engel), 490.Rothe, J. P. La zone seismique mediane Indo-Atlantique (discussion), 387.Rushworth, F. A. A nuclear magnetic resonance investigation of n-pentane, %-hexane

and cycZopentane, 526.

Seismic observations in the eastern Atlantic, 1952 (Hill & Laughton) (discussion), 348Seismic refraction work by H.M.S. Challenger in the deep oceans (Gaskell) (discussion),

356.Shepard, F. P. High-velocity turbidity currents (discussion), 323.Silcocks, C. G. See Travers & Silcocks.Singularities of electron kernel functions in an external electromagnetic field (Valatin),

93.Sound generated aerodynamically. II. Turbulence as a source of sound (Lighthill), 1.Spiral growths on large crystal surfaces (Rae & Robinson), 558.Structure of haemoglobin. II. (Bragg, Howells & Perutz), 33.

Temperature variation of diamagnetic susceptibility (Elcock), 239.Theory of electron-transfer processes in aqueous solutions (Weiss), 128.Thermal decomposition of the lower paraffin hydrocarbons, of paraffin-olefine-hydrogen

equilibrium mixtures, and of similar compounds and systems (Travers & Silcocks), 143.

Thompson, H. W. See Callomon & Thompson; also Pickworth & Thompson.Travers, M. W. & Silcocks, C. G. On the thermal decomposition of the lower paraffin

hydrocarbons, of paraffin-olefine-hydrogen equilibrium mixtures, and of similar compounds and systems, 143.

Ubbelohde, A. R. See Gallagher, Ubbelohde & Woodward.

Valatin, J. G. On the Dirac-Heisenberg theory of vacuum polarization, 228.\ alatin, J . G. Singularities of electron kernel functions in an external electromagnetic

field, 93.

Vibration-rotation bands and molecular constants of carbonyl sulphide (Callomon & Thompson), 431.

Vibration-rotation bands of methyl fluoride (Pickworth & Thompson), 443. von Engel, A. See Harries & von Engel.

Weiss, J. On the theory of electron-transfer processes in aqueous solutions, 128.Wind effects on the motion of the sea in an infinite channel and in a rectangular gulf

(Goldsbrough), 477.Woodward, Ida. See Gallagher, Ubbelohde & Woodward.Woollard, G. P. Crustal structure beneath oceanic islands (discussion), 361.

Zone s6ismique mediane Indo-Atlantique (Roth6) (discussion), 387.

566 Index

END OF THE TWO HUNDRED AND TWENTY-SECOND VOLUME (SERIES A)

PROCEEDINGSOF THE

ROYAL SOCIETY OF LONDON

SERIES A. MATHEMATICAL AND PHYSICAL SCIENCES

V O L 222

Published by the Royal Society Burlington House

Piccadilly London, W.i

FIRST PRINTED IN GREAT BRITAIN FOR THE ROYAL SOCIETY AT THE UNIVERSITY PRESS, CAMBRIDGE

REPRINTED IN GREAT BRITAIN BY OFFSET-LITHO BY BUTLER & TANNER LTD, FROME AND LONDON (i960)

CONTENTS

SERIES A VOLUME 222

No. 1148. 23 February 1954PAGE

On sound generated aerodynamically. II. Turbulence as a source of sound. ByM. J. I ighthill, F.R.S.........................................................................................................1

The structure of haemoglobin. II. By Sir Lawrence Bragg, F.R.S., E. R. Howellsand M. F. P e r u t z .................................................................................................... 33

A characteristic type of instability in the large deflexions of elastic plates.III. Curved rectangular plates in axial compression. By D. G. Ashwell . 44

The cross-linking and degradation of paraffin chains by high-energy radiation.By A. Charlesby . . . . . . . . . . . . 60

The detachment of electrons from negative ions. By J. B. Hasted . . . 74

An explicit formula for the calculation of fractional parentage coefficients. By P. J.Redmond . . . . . . . . . . . . . 84

Singularities of electron kernel functions in an external electromagnetic field. ByJ. G. V a l a t i n .............................................................................................................93

Measurement of diffusion coefficients. By P. C. Carman and R. A. W. Haul . 109

Bhabha’s equation for a particle of two mass states in Rarita-Sehwinger form.By K. K. Gupta . . . . . . . . . . . . 118

On the theory of electron-transfer processes in aqueous solutions. By J. Weiss . 128

No. 1149. 9 March 1954

On the thermal decomposition of the lower paraffin hydrocarbons, of paraffin- olefine-hydrogen equilibrium mixtures, and of similar compounds and systems. By M. W. Travers, F.R.S. and C. G. Silcocks . . . . 143

The distribution of temperature along a thin rod electrically heated vacuo.I. Theoretical. By S. C. Jain and Sir K. S. Krishnan, F.R.S. . . . 1 6 7

The Herzberg bands of 0 2 in an oxygen afterglow and in the night-sky spectrum.By H. P. Broida and A. G. Gaydon, F.R.S. (Plate 1 ) .....................................181

The hydrogen bond in crystals. IX. The isotope effect in acetylenedicarboxylic acid dihydrate. By K. J. Gallagher, A. R. Ubbelohde, F.R.S. and Ida Woodward . . . . . . . . . . . . . 195

Flame propagation: the effect of pressure variation on burning velocities. BySir Alfred Egerton, F.R.S. and A. H. Lefebvre. (Plates 2 to 5) , . . 206

Electrodynamics without potentials. By L. Infeld and J. Plebanski . . . 224

On the Dirac-Heisenberg theory of vacuum polarization. By J. G. Valatin . 228

The temperature variation of diamagnetic susceptibility. By E. W. Elcock . 239

The reflexion of sound waves of finite amplitude-by a rigid wall. By E. T. Copson 254

Geometry in three dimensions over GF(3). By W. L. Edge . . . . 262

IV

No. 1150. 18 March 1954A D isc u sio n on t h e floor of the A tlantic Ocean

U n d e r th e L e a d e r s h ip of E. C. B u l l a r d , F.R.S.page

E. C. Bullard, F.R.S. (Leader of the discussion.) Introduction . . . 287

P art 1. T h e se d im e n t s of th e A tlantic

Ph. H. Kuenen. Recent advances in deep-sea sedimentology . . . . 289J. D. H. Wiseman. The determination and significance of past temperature

changes in the upper layer of the equatorial Atlantic Ocean . . . 296F. P. Shepard. High-velocity turbidity currents, a discussion . . . . 3230 . T. Jones, F.R.S. The characteristics of some lower Palaeozoic marine sediments 327 W. B. R. King, F.R.S. Remarks on pebbles from the deep Atlantic and on the

Contents

structure of the English Channel . . . . . . . . 333J. Lyman. The deepest sounding in the North Atlantic . . . . . 334A. S. Laughton. Laboratory measurements of seismic velocities in ocean sediments 336

Part 2. The deeper structure of the Atlantic H. H. Hess. Geological hypotheses and the earth’s crust under the oceans . 341M. N. Hill and A. S. Laughton. Seismic observations in the eastern Atlantic, 1952 348T. F. Gaskell. Seismic refraction work by H.M.S. Challenger in the deep oceans 356G. P. Woollard. Crustal structure beneath oceanic islands............................. 361J. P. Rothe. La zone seismique mediane Indo-Atlantique................................387B. C. Browne. Gravity measurements and oceanic structure . . . . 398G. M. Lees, F.R.S. The geological evidence on the nature of ocean floors . . 400E. C. Bullard, F.R.S. A comparison of oceans and continents . . . . 403The flow of heat through the floor of the Atlantic Ocean. By Sir Edward Bullard,

F.R.S. (Plates 6 to 9 ) ....................................................................................... 408

No. 1151. 23 March 1954Vibration-rotation bands and molecular constants of carbonyl sulphide. By H. J.

Callomon and H. W. Thompson, F.R.S.................................................................... 431Vibration-rotation bands of methyl fluoride. By Jenny Pickworth and H. W.

Thompson, F . R . S . ................................................................................................443The co-polymerization of styrene and butyl acrylate in benzene solution. By J. H.

Bradbury and H. W. Melville, F.R.S................................................. 456Electron inertia and terrestrial magnetism. By Sir Charles Darwin, F.R.S. . 471Wind effects on the motion of the sea in an infinite channel and in a rectangular

gulf. By G. R. Goldsbrough, F.R.S........................................................................... 477The role of light quanta in the electric breakdown of gases. By W. L. Harries and

A. von Engel . . . . . . . . . . . . 490The application of the Whitehead theory of relativity to non-static, spherically

symmetrical systems. By C. B. Rayner . . . . . . . 509A nuclear magnetic resonance investigation of Ji-pentane, w-hexane and cydo-

pentane. By F. A. Rushworth . . . . . . . . . 526Gel formation and molecular weight distribution in long-chain polymers. By

A. C h a r l e s b y .............................................................. 542Spiral growths on large crystal surfaces. By Helen Rae and A. E. Robinson.

(Plates 10 and 1 1 ) ..................................................... 558I n d e x ................................................................................................................... 563