INDEX TO VOLUME 223 (A)

Adaptation of Bad. coli mi.labile to lactose (Abstract) (Dean & Hinshelwood), 420.Agarwala, R. P. & Wilman, H. The transformation of a-iron to y-iron during abrasion,

167.Alexander, P., Charlesby, A. & Ross, M. The degradation of solid polymethylmetha­

crylate by ionizing radiation, 392.Anderson, J. R. & Kemball, C. Catalysis on evaporated metal films. III. The efficiency

of different metals for the reaction between ethane and deuterium, 361.

Ballard, D. G. H. & Bamford, C. H. Studies in polymerization. VII. The polymerization of W-carboxy-a-amino-acid anhydrides, 495.

Bamford, C. H. See Ballard & Bamford.Banks, W. H. & Mill, C. C. Some observations on the behaviour of liquids between

rotating rollers, 414.Basinski, Z. S. & Christian, J. W. A pressurized high-temperature Debye-Scherrer

camera and its use to determine the structures and coefficients of expansion of y- and ^-manganese, 554.

Behaviour of sulphur in silicate and aluminate melts (Fincham & Richardson), 40.Bleaney, B., Seovil, H. E. D. & Trenam, R. S. The paramagnetic resonance spectra of

gadolinium and neodymium ethyl sulphates, 15.Bleaney, B. & Trenam, R. S. Paramagnetic resonance spectra of some ferric alums, and

the nuclear magnetic moment of 57Fe, 1.Bowden, F. P. & Thomas, P. H. The surface temperature of sliding solids, 29.

Catalysis on evaporated metal films. III. The efficiency of different metals for the reaction between ethane and deuterium (Anderson & Kemball), 361.

Catalysis on evaporated metal films. IV. Exchange between propane and deuterium and isobutane and deuterium (Kemball), 377.

Charlesby, A. See Alexander, Charlesby & Ross.Chretien, M. & Peierls, R. E. A study of guage-invariant non-local interactions, 468.Christian, J. W. See Basinski & Christian.Combination of methyl radicals: photolysis of acetone at low pressures (Dodd & Steacie),

283.Complementary structure of deoxyribonucleic acid (Crick & Watson), 80.Courtaulds Limited, Research Department (Wilson), 139.Crick, F. H. C. & Watson, J. D. The complementary structure of deoxyribonucleic acid,

80.Danby, C. J., Spall, B. C., Stubbs, F. J. & Hinshelwood, Sir Cyril. Modes of decomposi­

tion of w-pentane. I. Pressure changes and mass spectrometric analysis, 421.Darbyshire, J. Structure of microseismic waves: estimation of direction of approach by

comparison of vertical and horizontal components, 96.Dean, A. C. R. & Hinshelwood, Sir Cyril. The adaptation of Bad. coli mutabile to lactose

(Abstract), 420.Decomposition of solid azides by electron bombardment (Groocock & Tompkins), 267.Degradation of solid polymethylmethacrylate by ionizing radiation (Alexander, Charlesby

& Ross), 392.Dirac, P. A. M. A new classical theory of electrons. I l l , 438.Dispersion of matter in turbulent flow through a pipe (Taylor), 446.Dodd, R. E. & Steacie, E. W. R. The combination of methyl radicals: photolysis of ace­

tone at low pressures, 283.f 561 ]

562 Index

Elastic deformations of a plate near a hole with a stiffening rim (Harvey), 338.Energies of interaction and other properties of clathrate compounds (Evans & Richards),

238.Evans, D. F. & Richards, R. E. Energies of interaction and other properties of clathrate

compounds, 238.

Faber, T. E. The phase transition in superconductors. III. Phase propagation below the critical field, 174.

Feldman, G. Modified propagators in field theory (with application to.the anomalous magnetic moment of the nucleon), 112.

Field and radiation impedance of mechanical radiators on the free surface of a semi­infinite isotropic solid (Miller & Pursey), 521.

Fincham, C. J. B. & Richardson, F. D. The behaviour of sulphur in silicate and aluminate melts, 40.

Fletcher, A., Murphy, T. & Young, A. Solutions of two optical problems, 216.Formation of cracks as a result of plastic flow (Stroh), 404.Foulkes, J. The minimum-weight design of structural frames, 482.Frohlich, H. On the theory of superconductivity: the one-dimensional case, 296.Froome, K. D. Investigation of a new form of micro-wave interferometer for determining

the velocity of electromagnetic waves, 195.

Gardner, W. E. & Kurti, N. The thermal and magnetic properties of chromium methyla- mine alum between 0-01 and 1° K, 542.

Groocock, J. M. & Tompkins, F. C. The decomposition of solid azides by electron bombardment, 267.

Harvey, R. B. The elastic deformations of a plate near a hole with a stiffening rim, 338.Hinshelwood, Sir Cyril. See Danby et al.; also Spall et al. ; also Dean & Hinshelwood.Hirst, W. & Lancaster, J. K. The influence of oxide and lubricant films on the friction

and surface damage of metals, 324.

Influence of oxide and lubricant films on the friction and surface damage of metals (Hirst & Lancaster), 324.

Instabilities of a completely ionized plasma (Kruskal & Schwarzschild), 348.Intensities in Raman spectra. II. Normal co-ordinates for the chloro- and bromo-

methanes (Long & Thomas), 130.Investigation of a new form of micro-wave interferometer for determining the velocity of

electromagnetic waves (Froome), 195.

Kemball, C. Catalysis on evaporated metal films. IV. Exchange between propane and deuterium and isobutane and deuterium, 377.

Kemball, C. See Anderson & Kemball.King, R. F. & Tabor, D. The strength properties and frictional behaviour of brittle solids,

225.Kruskal, M. & Schwarzschild, M. Some instabilities of a completely ionized plasma, 348.Kurti, N. See Gardner & Kurti.

Lancaster, J. K. See Hirst & Lancaster.Long, D. A., Murfin, F. S. & Williams, R. L. The Raman and infra-red spectra of carbon

suboxide, 251.Long, D. A. & Thomas, A. G. Intensities in Raman spectra. II. Normal co-ordinates for

the chloro- and bromo-methanes, 130.

Index 563

McCoubrey, J. C., Parke, J. B. & Ubbelohde, A. R. Studies on the transfer of vibrational energy in hydrocarbons, 155.

McWeeny, R. The valence bond theory of molecular structure. I. Orbital theories and the valence-bond method, 63.

McWeeny, R. The valence-bond theory of molecular structure. II. Reformulation of the theory, 306.

Mill, C. C. See Banks & Mill.Miller, G. F. & Pursey, H. The field and radiation impedance of mechanical radiators on

the free surface of a semi-infinite isotropic solid, 521.Minimum-weight design of structural frames (Foulkes), 482.Modes of decomposition of w-pentane. I. Pressure changes and mass spectrometric

analysis (Danby, Spall, Stubbs & Hinshelwood), 421.Modes of decomposition of w-pentane. II. Kinetic considerations (Spall, Stubbs &

Hinshelwood), 429.Modified propagators in field theory (with application to the anomalous magnetic

moment of the nucleon) (Feldman), 112.Murfin, F. S. See Long, Murfin & Williams.Murphy, T. See Fletcher, Murphy & Young.

New classical theory of electrons. I l l (Dirac), 438.

Observations on the behaviour of liquids between rotating rollers (Banks & Mill), 414.

Paramagnetic resonance spectra of gadolinium and neodymium ethyl sulphates (Bleaney, Scovil & Trenam), 15.

Paramagnetic resonance spectra of some ferric alums, and the nuclear magnetic moment of 57Fe (Bleaney & Trenam), 1.

Parke, J. B. See McCoubrey, Parke & Ubbelohde.Peierls, R. E. See Chretien & Peierls.Phase transition in superconductors. III. Phase propagation below the critical field

(Faber), 174.Pressurized high-temperature Debye-Scherrer camera, and its use to determine the

structures and coefficients of expansion of y- and manganese (Basinski & Christian), 554.

Pursey, H. See Miller & Pursey.

Raman and infra-red spectra of carbon suboxide (Long, Murfin & Williams), 251.Research Department of Courtaulds Limited (Wilson), 139.Richards, R. E. See Evans & Richards.Richardson, F. D. See Fincham & Richardson.Ross, M. See Alexander, Charlesby & Ross.

Schwarzschild, M. See Kruskal & Schwarzschild.Scovil, J. E. D. See Bleaney, Scovil & Trenam.Solutions of two optical problems (Fletcher, Murphy & Young), 216.Spall, B. C., Stubbs, F. J. & Hinshelwood, Sir Cyril. Modes of decomposition of n-pentane.

II. Kinetic considerations, 429.Spall, B. C. See Danby et al.Steacie, E. W. R. See Dood & Steacie.Strength properties and frictional behaviour of brittle solids (King & Tabor), 225.Stroh, A. N. The formation of cracks as a result of plastic flow, 404.Structure of microseismic waves: estimation of direction of approach by comparison of

vertical and horizontal components (Darbyshire), 96.

564 Index

Stubbs, F. J. See Danby et al.; also Spall etStudies in polymerization. VII. The polymerization of iV-carboxy-a-amino-acid

anhydrides (Ballard & Bamford), 495.Studies on the transfer of vibrational energy in hydrocarbons (McCoubrey, Parke &

Ubbelohde), 155.Study of gauge-invariant non-local interactions (Chretien & Peierls), 468.Surface temperature of sliding solids (Bowden & Thomas), 29.Tabor, D. See King & Tabor.Taylor, Sir Geoffrey. The dispersion of matter in turbulent flow through a pipe, 446. Theory of superconductivity: the one-dimensional case (Frohlich), 296.Thermal and magnetic properties of chromium methylamine alum between 0-01 and 1° K

(Gardner & Kurti), 542.Thomas, A. G. See Long & Thomas.Thomas, P. H. See Bowden & Thomas.Tompkins, F. C. See Groocok & Tompkins.Transfer of vibrational energy in hydrocarbons, Studies on, (McCoubrey, Parke &

Ubbelohde), 155.Transformation of a-iron to y-iron during abrasion (Agarwala & Wilman), 167,Trenam, R. S. See Bleaney & Trenam; also Bleaney, Scovil & Trenam.

Ubbelohde, A. R. See McCoubrey, Parke & Ubbelohde.

Valence bond theory of molecular structure I. Orbital theories and the valence-bond method (McWeeny), 63.

Valence-bond theory of molecular structure. II. Reformulation of the theory (McWeeny), 306.

Watson, J. D. See Crick & Watson.Williams, R. L. See Long, Murfin & Williams.Wilman, H. See Agarwala & Wilman.Wilson, A. H. The Research Department of Courtaulds Limited, 139.

Young, A. See Fletcher, Murphy & Young.

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

PROCEEDINGSOF THE

ROYAL SOCIETY OF LONDON

SERIES A. MATHEMATICAL AND PHYSICAL SCIENCES

V O L 223

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 223

No. 1152. 7 April 1954PAGE

Paramagnetic resonance spectra of some ferric alums, and the nuclear magneticmoment of 57Fe. By B. Bleaney, F.R.S. and R. S. Trenam . . . 1

The paramagnetic resonance spectra of gadolinium and neodymium ethylsulphates. By B. Bleaney, F.R.S., H. E. D. Scovil and R. S. Trenam . 15

The surface temperature of sliding solids. By F. P. Bowden, F.R.S. and P. H.Thomas. (Plate 1) . . . . . . . . . . . 29

The behaviour of sulphur in silicate and aluminate melts. By C. J. B. Finchamand F. D. Richardson . . . . . . . . . . . 40

The valence bond theory of molecular structure. I. Orbital theories and thevalence-bond method. By R. McWeeny . . . . . . . 63

The complementary structure of deoxyribonucleic acid. By F. H. C. Crick andJ. D. Watson. (Plate 2) . . . . . . . . . 80

Structure of microseismic waves: estimation of direction of approach by com­parison of vertical and horizontal components. By J. Darbyshire . . 96

Modified propagators in field theory (with application to the anomalous magneticmoment of the nucleon). By G. Feldman . . . . . . . 1 1 2

Intensities in Raman spectra. II. Normal co-ordinates for the chloro- and bromo-methanes. By D. A. Long and A. G. T h o m a s ............................................. 130

No. 1153. 22 April 1954

The Research Department of Courtaulds Limited. By A. H. Wilson, F.R.S.(Plates 3 to 6 ) ...................................................................................................139

Studies on the transfer of vibrational energy in hydrocarbons. By J. C. McCoubrey,J. B. Parke and A. R. Ubbelohde, F.R.S. . . . . . . . 155

The transformation of a-iron to y-iron during abrasion. By R. P. Agarwala andH. Wilman. (Plate 7) . . . . . . . . . . 167

The phase transition in superconductors. III. Phase propagation below thecritical field. By T. E. Faber . . . . . . . . . 174

Investigation of a new form of micro-wave interferometer for determining thevelocity of electromagnetic waves. By K. D. Froom e....................................195

Solutions of two optical problems. By A. Fletcher, T. Murphy and A. Young . 216The strength properties and frictional behaviour of brittle solids. By R. F. King

and D. Tabor. (Plates 8 to 1 1 ) ........................................................................225Energies of interaction and other properties of clathrate compounds. By D. F.

Evans and R. E. R ic h a rd s .................................................................................238The Raman and infra-red spectra of carbon suboxide. By D. A. Long, F. S.

Murfin and R. L. W illiam s.................................................................................251The decomposition of solid azides by electron bombardment. By J. M. Groocock

and F. C. Tompkins . . . . . . . . . . . 267

iv Contents

Ncfc 1154. 6 May 1954PAGE

The combination of methyl radicals: photolysis of acetone at low pressures. ByR. E. Dodd and E. W. R. Steacie, F.R.S.......................................................... 283

On the theory of superconductivity: the one-dimensional case. By H. Frohlich,F.R.S.......................................................................................................................296

The valence-bond theory of molecular structure. II. Reformulation of the theory.By R. McWeeny . . . . . . . . . . . . 306

The influence of oxide and lubricant films on the friction and surface damage ofmetals. By W. Hirst and J. K. Lancaster. (Plate 12) . . . . 324

The elastic deformations of a plate near a hole with a stiffening rim. By R. B.Harvey . . . . . . . . . . . . 338

Some instabilities of a completely ionized plasma. By M. Kruskal and M.Schwarzschild . . . . . . . . . . . . 348

Catalysis on evaporated metal films. III. The efficiency of different metals for thereaction between ethane and deuterium. By J. R. Anderson and C. Kemball 361

Catalysis on evaporated metal films. IV. Exchange between propane anddeuterium and isobutane and deuterium. By C. Kemball . . . . 377

The degradation of solid polymethylmethacrylate by ionizing radiation. ByP. Alexander, A. Charlesby and M. Ross . . . . . . . 392

The formation of cracks as a result of plastic flow. By A. N. Stroh . . . 404Some observations on the behaviour of liquids between rotating rollers. By W. H.

Banks and C. C. Mill. (Plate 13 )....................................................................... 414The adaptation of Bact. coli mutabile to lactose. By A. C. R. Dean and Sir Cyril

Hinshelwood, For.Sec.R.S. (Abstract) . .............................................420

No. 1155. 20 May 1954Modes of decomposition of w-pentane. I. Pressure changes and mass spectrometric

analysis. By C. J. Danby, B. C. Spall, F. J. Stubbs and Sir Cyril Hinshel­wood, For.Sec.R.S.................................................................................................421

Modes of decomposition of w-pentane. II. Kinetic considerations. By B. C. Spall,F. J. Stubbs and Sir Cyril Hinshelwood, For.Sec.R.S............................................ 429

A new classical theory of electrons. III. By P. A. M. Dirac, F.R.S. . . . 438The dispersion of matter in turbulent flow through a pipe. By Sir Geoffrey Taylor,

F.R.S............................................................................................................................ 446A study of gauge-invariant non-local interactions. By M. Chretien and R. E.

Peierls, F.R.S. . . . . . . . . . . . . 468The minimum-weight design of structural frames. By J. Foulkes . . . 482Studies in polymerization. VII. The polymerization of N -carboxy-a-amino acid

anhydrides. By D. G. H. Ballard and C. H. Bamford . . . . . 495The field and radiation impedance of mechanical radiators on the free surface of a

semi-infinite isotropic solid. By G. F. Miller and H. Pursey . . . 521The thermal and magnetic properties of chromium methylamine alum between

0-01 and 1° K. By W. E. Gardner and N. K u rti ............................................ 542A pressurized high-temperature Debye-Scherrer camera, and its use to determine '

the structures and coefficients of expansions of y- and ^-manganese. By Z. S. Basinski and J. W. Christian . . . . . . . . . 554

I n d e x ............................................................................... 561

CONTENTS

Modes of decomposition of «-pentane. I. Pressure changes and mass spectro- metric analysis. By C. J. DANBY, B. C. SPALL, F. J. STUBBS and Sir CYRIL HINSHELWOOD, For.Sec.R.S...............................................

Modes of decomposition of n-pentane. II. Kinetic considerations. By B. C. SPALL, F. J . STUBBS and Sir CYRIL HINSHELWOOD, For.Sec.R.S.............................................................................................................

A new classical theory of electrons. III. By P. A. M. DIRAC, F.R.S.

The dispersion of matter in turbulent flow through a pipe.By Sir GEOFFREY TAYLOR, F.R.S......................................................

A study of gauge-invariant non-local interactions. By M. CHRETIEN and R. E. PEIERLS, F.R.S.......................................... .........

The minimum-weight design of structural frames. By J. FOULKES

Studies in polymerization. VII. The polymerization of W-carboxy-a- amino acid anhydrides. By D. G. H. BALLARD and C. H. BAMFORD

The field and radiation impedance of mechanical radiators on the free surface of a semi-infinite isotropic solid. By G. F. MILLER and H. P U R S E Y .........................................................................................

The thermal and magnetic properties of chromium methylamine alum between 0 01 and 1° K. By W. E. GARDNER and N. KURTI

A pressurized high-temperature Debye-Scherrer camera, and its use to determine the structures and coefficients of expansions of y- and ^-manganese. By Z. S. BASINSKI an J. W. CHRISTIAN .

Index . . . . . . . . . . . .

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

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

PAGE

421

429

438

446

468

482

495

521

542

554

561