INDEX TO VOLUME 198 (A)

Anisotropic metals, plane plastic strain (Hill), 428.Auluck, F. C. & Kothari, D. S. A note on the Riesz method and the method of residues,

170.Autoxidation of tetralin (Bamford & Dewar), 252.

Baker, J . F., Horne, M. R. & Roderick, J. W. The behaviour of continuous stanchions, 493.

Bamford, C. H. & Dewar, M. J. S. The autoxidation of tetralin, 252.Barber, N. F. The behaviour of waves on tidal streams, 81.Behaviour of continuous stanchions (Baker, Horne & Roderick), 493.Behaviour of waves on tidal streams (Barber), 81.Bell, R. P., Gelles, E. & Moller, E. Kinetics of the base-catalyzed halogenation of some

ketones and esters, 308.Bennett, J. G., Brown, R. L. & Thring, M. W. Unified field theory in a curvature-free

five-dimensional manifold, 39.Benzylamine C-N bond, dissociation energy (Szwarc), 285.Birks, J. & Bradley, R. S. The rate of evaporation of droplets. II. The influence of

changes of temperature and of the surrounding gas on the rate of evaporation of drops of di-w-butyl phthalate, 226.

Birth and growth of explosion in liquids and solids initiated by impact and friction (Bowden & Gurton), 350.

Bleaney, B., Penrose, R. P. & Plumpton, B. I. Paramagnetic resonance in the copper Tutton salts, 406.

Bowden, F. P. & Gurton, O. A. Birth and growth of explosion in liquids and solids initiated by impact and friction, 350.

Bowden, F. P. & Gurton, O. A. Initiation of solid explosives by impact and friction: the influence of grit, 337.

Bradley, R. S. See Birks & Bradley.Bradley, R. S. & Shellard, A. D. The rate of evaporation of droplets. III. Vapour pressures

and rates of evaporation of straight-chain paraffin hydrocarbons, 239.Brown, R. L. See Bennett, Brown & Thring.

Catalytic hydrogenation of methyl elaeostearate, and of mixtures of elaeostearic with other polyethenoid long-chain esters (Hilditch & Pathak), 323.

Copper Tutton salts, paramagnetic resonance (Bleaney, Penrose & Plumpton), 406.Comer, J. The effect of diffusion of the main reactants on flame speeds in gases, 388.

Dewar, M. J. S. See Bamford & Dewar.Diffraction of blast. I (Lighthill), 454.Diffusion in gases and liquids. I, II (Yang), 94, 471.Dissociation energy of the C-N bond in benzylamine (Szwarc), 285.Dissociation energy of the N-H bond in hydrazine (Szwarc), 267.Dixon-Lewis, G. Studies in polymerization. V. The polymerization of vinyl acetate, 510.

Eddy diffusion of water vapour and heat near the ground (Pasquill), 116.Eden, R. J. Heisenberg’s S matrix for a system of many particles, 540.Effect of diffusion of the main reactants on flame speeds in gases (Corner), 388.Electroviscosity. IV. Some extensions of the theory of flow of liquids in narrow channels

(Elton & Hirschler), 581.[ 590 ]

Elton, G. A. H. & Hirschler, F. G. Electroviscosity. IV. Some extensions of the theory of flow of liquids in narrow channels, 581.

Explosion in liquids and solids (Bowden & Gurton), 337.Explosion in liquids and solids (Yoffe), 373.

Flame speeds in gases (Corner), 388.Frank, F. C. & Merwe, J. H. van der. One-dimensional dislocations. I. Static theory,

205.Frank, F. C. & Merwe, J. H. van der. One-dimensional dislocations. II. Misfitting

monolayers and orientated overgrowth, 216.Frost, R. A note on polar air-mass modification, 27.

Gelles, E. See Bell, Gelles & Moller.Gurton, 0. A. See Bowden & Gurton.

Harington, Sir Charles. The work of the National Institute for Medical Research, 293.Heats of formation of free CN and free CH2, and the relationship between D(CO), D(CN)

and D(N2) (Long), 62.Heisenberg’s S matrix for a system of many particles (Eden), 540.Helium II, film phenomena (Temperley), 438.Hilditch, T. P. & Pathak, S. P. The catalytic hydrogenation of methyl elaeostearate,

and of mixtures of elaeostearic with other polyethenoid long-chain esters, 323.Hill, R. The theory of plane plastic strain for anisotropic metals, 428.Hirschler, F. G. See Elton & Hirschler.Horne, M. R. See Baker, Horne & Roderick.Hot-wire investigation of the wake behind cylinders at low Reynolds numbers (Kovasz-

nay), 174.Hydrazine N-N bond, dissociation energy (Szwarc), 267.

Ignition of solid explosive media by hot wires (Jones), 523.Influence of entrapped gas on initiation of explosion in liquids and solids (Yoffe), 373.Initiation of solid explosives by impact and friction: the influence of grit (Bowden

& Gurton), 337.

Jones, E. The ignition of solid explosive media by hot wires, 523.Jones, Sir Harold Spencer. The Royal Greenwich Observatory, 141.

Kaminski, A. & McBain, J. W. Spontaneous emulsification of pure xylene in an aqueous solution through mere adsorption of a detergent in the interface, 447.

Ketones and esters, halogenation (Bell, Gelles & Moller), 308.Kinetic theory of diffusion in gases and liquids. I. Diffusion and the Brownian motion

(Yang), 94.Kinetic theory of diffusion in gases and liquids. II. General kinetic theory of liquids

mixtures (Yang), 471.Kinetics of the base-catalyzed halogenation of some ketones and esters (Bell, Gelles

& Moller), 308.Kothari, D. S. See Auluck & Kothari.Kovasznay, L. S. G. Hot-wire investigation of the wake behind cylinders at low Reynolds

numbers, 174.

Laurmann, E. & Shoenberg, D. Penetration of magnetic field into superconductors. II. Measurements by the Casimir method, 560.

Lennard-Jones, Sir John. The molecular orbital theory of chemical valency. I. The determination of molecular orbitals, 1.

Index 591

592 IndexLennard-Jones, Sir John. The molecular orbital theory of chemical valency. II. Equivalent

orbitals in molecules of known symmetry, 14.Lighthill, M. J . The diffraction of blast. I, 454.Liquids, flow (Elton & Hirschler), 581.Long, L. H. The heats of formation of free CN and free CH2, and the relationship between

D(CO), D(CN) and Z>(N2), 62.

McBain, J . W. See Kaminski & McBain.Merwe, J . H. van der. See Frank & Van der Merwe.Molecular orbital theory of chemical valency. I. The determination of molecular orbitals

(Lennard-Jones), 1.Molecular orbital theory of chemical valency. II. Equivalent orbitals in molecules of

known symmetry (Lennard-Jones), 14.Moller, E. See Bell, Gelles & Moller.

National Institute for Medical Research (Harington), 293.Note on polar air-mass modification (Frost), 27.Note on the Riesz method and the method of residues (Auluck & Kothari), 170.Nye, J. F. Plastic deformation of silver chloride. I. Internal stresses and the glide

mechanism, 190.

One-dimensional dislocations. I. Static theory (Frank & van der Merwe), 205.One-dimensional dislocations. II. Misfitting monolayers and oriented overgrowth (Frank

& van der Merwe), 216.

Paramagnetic resonance in the copper Tutton salts (Bleaney, Penrose & Plumpton), 406.Pasquill, F. Eddy diffusion of water vapour and heat near the ground, 116.Pathak, S. P. See Hilditch & Pathak.Penetration of magnetic field into superconductors. II. Measurements by the Casimir

method (Laurmann & Shoenberg), 560.Penrose, R. P. See Bleaney, Penrose & Plumpton.Plastic deformation of silver chloride. I. Internal stresses and the glide mechanism (Nye),

190.Plumpton, B. I. See Bleaney, Penrose & Plumpton.Polar air-mass modification (Frost), 27.Polymerization (Dixon-Lewis), 510.

Rate of evaporation of droplets. II. The influence of changes of temperature and of the surrounding gas on the rate of evaporation of drops of di-n-butyl phthalate (Birks & Bradley), 226.

Rate of evaporation of droplets. III. Vapour pressures and rates of evaporation of straight-chain paraffin hydrocarbons (Bradley & Shellard), 239.

Riesz method and method of residues (Auluck & Kothari), 170.Roderick, J. W. See Baker, Horne & Roderick.Royal Greenwich Observatory (Jones), 141.

Shellard, A. D. See Bradley & Shellard.Shoenberg, D. See Laurmann & Shoenberg.Silver chloride, plastic deformation (Nye), 190.Solid explosives, ignition (Jones), 523.Solid explosives, initiation (Bowden & Gurton), 337.Spontaneous emulsification of pure xylene in an aqueous solution through mere adsorp­

tion of a detergent in the interface (Kaminski & McBain), 447.

Index 593

Stanchions, behaviour (Baker, Home & Roderick), 493.Studies in polymerization. V. The polymerization of vinyl acetate (Dixon-Lewis), 510. Superconductors, penetration of magnetic field (Laurmann & Shoenberg), 560.Szwarc, M. The dissociation energy of the C-N bond in benzylamine, 285.Szwarc, M. The dissociation energy of the N-N bond in hydrazine, 267.

Temperley, H. N. V. A theory of the film phenomena of liquid helium i i , 438.Tetralin, autoxidation (Bamford & Dewar), 252.Theory of plane plastic strain for anisotropic metals (Hill), 428.Theory of the film phenomena of liquid helium i i (Temperley), 438.Thring, M. W. See Bennett, Brown & Thring.Tidal streams, waves on (Barber), 81.

Unified field theory in a curvature-free five-dimensional manifold (Bennett, Brown & Thring), 39.

Wake behind cylinders, hot-wire investigation (Kovasznay), 174.Water vapour and heat, eddy diffusion of (Pasquill), 116.Work of the National Institute for Medical Research (Harington), 293.

Xylene, spontaneous emulsification (Kaminski & McBain), 447.

Yang, L. M. Kinetic theory of diffusion in gases and liquids. I. Diffusion and the Brownian motion, 94.

Yang, L. M. Kinetic theory of diffusion in gases and liquids. II. General kinetic theory of liquids mixtures, 471.

Yoffe, A. Influence of entrapped gas on initiation of explosion in liquids and solids, 373.

END OF THE ONE HUNDRED AND NINETY-EIGHTH VOLUME (SERIES A)

PROCEEDINGSOF THE

ROYAL SOCIETY OF LONDON

SERIES A. MATHEMATICAL AND PHYSICAL SCIENCES

VOL 198

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 (1 9 5 9 )

CONTENTS

SERIES A VOLUME 198

No. A 1052. 22 July 1949PAGE

The molecular orbital theory of chemical valency. I. The determination ofmolecular orbitals. By Sir John Lennard-Jones, F.R.S. . . . . 1

The molecular orbital theory of chemical valency. II. Equivalent orbitals inmolecules of known symmetry. By Sir John Lennard-Jones, F.R.S. . . 14

A note on polar air-niass modification. By R. Frost . . . . . . 27

Unified field theory in a curvature-free five-dimensional manifold. By J. G. Bennett,R. L. Brown and M. W. T h r i n g ......................................................................39

The heats of formation of free CN and free CHa, and the relationship betweenD(CO), D(CN) and D(Na). By L. H. L o n g .................................................... 62

The behaviour of waves on tidal streams. By N. F. Barber . . . . 81Kinetic theory of diffusion in gases and liquids. I. Diffusion and the Brownian

motion. By L. M. Y a n g ...................................................................................... 94Eddy diffusion of water vapour and heat near the ground. By F. Pasquill . . 116

No. A 1053. 15 August 1949The Royal Greenwich Observatory. By Sir Harold Spencer Jones, F.R.S. (Plates

1 to 4 ) ....................................................................................................................... 141A note on the Riesz method and the method of residues. By F. C. Auluck and

D. S. K o t h a r i ......................................................................................................170Hot-wire investigation of the wake behind cylinders at low Reynolds numbers.

By L. S. G. Kovasznay............................................................................................. 174Plastic deformation of silver chloride. I. Internal stresses and the glide mechanism.

By J. F. Nye. (Plates 5 to 8) . . . . . . . . . 190One-dimensional dislocations. I. Static theory. By F. C. Frank and J. H. van

der Merwe . . . . . . . . . . . . . 205One-dimensional dislocations. II. Misfitting monolayers and oriented overgrowth.

By F. C. Frank and J. H. van der Merwe . . . . . . . 216The rate of evaporation of droplets. II. The influence of changes of temperature

and of the surrounding gas on the rate of evaporation of drops of di-%-butyl phthalate. By J. Birks and R. S. B r a d le y ..........................................................226

The rate of evaporation of droplets. III. Vapour pressures and rates of evaporationof straight-chain paraffin hydrocarbons. By R. S. Bradley and A. D. Shellard 239

The autoxidation of tetralin. By C. H. Bamford and M. J. S. Dewar . . . 252The dissociation energy of the N-N bond in hydrazine. By M. Szwarc . . 267The dissociation energy of the C-N bond in benzylamine. By M. Szwarc . . 285

iv Contents

No. A 1054. 22 August 1949PAGE

The work of the National Institute for Medical Research. By Sir Charles Haring-ton, F.R.S. (Plates 9 and 1 0 ) ....................................................................... 293

Kinetics of the base-catalyzed halogenation of some ketones and esters. ByR. P. Bell, F.R.S., E. Gelles and Eva M o l l e r .............................................308

The catalytic hydrogenation of methyl elaeostearate, and of mixtures of elaeostearic with other polyethenoid long-chain esters. By T. D. Hilditch, F.R.S. andS. P. P a t h a k ....................................................................... ........ . . 3 2 3

Initiation of solid explosives by impact and friction: the influence of grit. ByF. P. Bowden, F.R.S. and O. A. Gurton . . . . . . . 337

Birth and growth of explosion in liquids and solids initiated by impact and friction.By F. P. Bowden, F.R.S. and O. A. Gurton. (Plates 11 to 14) . . . 350

Influence of entrapped gas on initiation of explosion in liquids and solids. ByA. Yoffe. (Plate 1 5 ) ......................................................................................... 373

The effect of diffusion of the main reactants on flame speeds in gases. By J. Corner 388

Paramagnetic resonance in the copper Tutton salts. By B. Bleaney, R. P. Penroseand Betty I. Plumpton . . . . . . . . . . . 406

The theory of plane plastic strain for anisotropic metals. By R. Hill . . . 428

A theory of the film phenomena of liquid helium n. By H. N. V. Temperley . 438

No. A 1055. 7 September 1949

Spontaneous emulsification of pure xylene in an aqueous solution through mere adsorption of a detergent in the interface. By A. Kaminski and McBain, F.R.S. (Plate 1 6 ) ...................................................................................... 447

The diffraction of blast. I. By M. J. Lighthill . . . . . . . 454

Kinetic theory of diffusion in gases and liquids. II. General kinetic theory ofliquids mixtures. By L. M. Yang . . . . . . . . . 471

The behaviour of continuous stanchions. By J. F. Baker, M. R. Horne and J. W.Roderick . . . . . . . . . . . . . 493

Studies in polymerization. V. The polymerization of vinyl acetate. By G. Dixon-Lewis . . . . . . . . . . . . . . 510

The ignition of solid explosive media by hot wires. By E. Jones . . . 523

Heisenberg’s 8 matrix for a system of many particles. By R. J. Eden . . 540

Penetration of magnetic field into superconductors. II. Measurements by theCasimir method. By E. Laurmann and D. Shoenberg . . . . . 560

Electroviscosity IV. Some extensions of the theory of flow of liquids in narrowchannels. By G. A. Elton and F. G. H i r s c h l e r ............................................. 581

Index ....................................................................... 590