INDEX TO VOLUME 231 (A)

Action of a surface current used as a breakwater (Taylor), 466.Adhesion and charging of quartz surfaces (Harper), 388.Adkins, J. E. Some general results in the theory of large elastic deformations, 75.Adsorption of bacteriophages by sensitive and resistant cells of Escherichia coli strain B

(Brenner) (abstract), 291.Allcock, G. R. & Kuper, C. G. ‘Rotons’ in quantum hydrodynamics, 226.Allen, H. G. The estimation of the critical load of a braced framework, 25.Aluminium, superconducting (Faber & Pippard), 336; (Faber), 353.

Barrer, R. M. & Strachan, E. Sorption and surface diffusion in microporous carbon cylinders, 52.

Bell, J. S. Time reversal in field theory, 479.Berman, R., Foster, E. L. & Ziman, J. M. Thermal conduction in artificial sapphire

crystals at low temperatures. I. Nearly perfect crystals, 130.Bilby, B. A., Bullough, R. & Smith, E. Continuous distributions of dislocations: a new

application of the methods of non-Riemannian geometry, 263.Boundary-layer growth (Watson), 104.Breakwater, surface current used as (Taylor), 466.Breakwaters, pneumatic and similar (Evans), 457.Brenner, S. The adsorption of bacteriophages by sensitive and resistant cells of

Escherichia coli strain B (abstract), 291.Brown, J. K. & Sheppard, N. Infra-red spectroscopic studies of rotational isomerism in

the polymethylene halides, 555.Bullough, R. See Bilby, Bullough & Smith.

Chandrasekhar, S. & Elbert, Donna D. The instability of a layer of fluid heated below and subject to Coriolis forces. II, 198.

Charlesby, A. Gel formation by main-chain fracture of long-chain polymers, 521.Christie, Margaret I., Harrison, Anna J., Norrish, R. G. W. & Porter, G. The recombina­

tion of atoms. II. Causes of variation in the observed rate constant for iodine atoms, 446.

Continuous distributions of dislocations: a new application of the methods of non- Riemannian geometry (Bilby, Bullough & Smith), 263.

Cotton, K. J. See Lambert and others.Curie, N. The influence of solid boundaries upon aerodynamic sound, 505.

Das, T. P. & Roy, D. K. Spin-echoes in the presence of non-axially symmetric quad- rupole interaction in crystals, 244,

Elastic deformation, theory of (Adkins), 75.Elbert, Donna D. See Chandrasekhar & Elbert.Estimation of the critical load of a braced framework (Allen), 25.Evans, J. T. Pneumatic and similar breakwaters, 457.Experiments on over-stable thermal convection in mercury (Fultz & Nakagawa), 211.

Faber, T. E. The phase transition in superconductors. IV. Aluminium, 353.Faber, T. E. & Pippard, A. B. The penetration depth and high-frequency resistance of

superconducting aluminium, 336.Fairbank, H. A. & Wilks, J. Heat transfer in liquid helium below 1° K, 545.

[ 575 ]

576 Index

Foster, E. L. See Berman, Foster & Ziman.Frequency response of a defocused optical system (Hopkins), 91.Fultz, D. & Nakagawa, Y. Experiments on over-stable thermal convection in mercury,

211.

Further calculations on electron excitation of forbidden lines: transitions with electric quadrupole moments (Seaton), 37.

Gaydon, A. G. Green and orange band spectra of CaOH, CaOD and calcium oxide, 437.Gel formation by main-chain fracture of long-chain polymers (Charlesby), 521.Gravity waves in flowing water (Hunt), 496.Green and orange band spectra of CaOH, CaOD and calcium oxide (Gaydon), 437.

Harper, W. R. Adhesion and charging of quartz surfaces, 388.Harrison, Anna J. See Christie, Harrison, Norrish & Porter.Havelock, Sir Thomas. Waves due to a floating sphere making periodic heaving oscilla­

tions, 1.Heading, J. The reflexion of vertically-incident long radio waves from the ionosphere

when the earth’s magnetic field is oblique, 414.Heat transfer in liquid helium below 1° K (Fairbank & Wilks), 545.Hertzian electromagnetic potentials and associated gauge transformations (Nisbet), 250.Hinshelwood, Sir Cyril. See Jach & Hinshelwood; also Lindars & Hinshelwood.Hopkins, H. H. The frequency response of a defocused optical system, 91.Hunt, J. N. Gravity waves in flowing water, 496.

Influence of certain foreign gases on the thermal decomposition of paraffins. II. Relation to the general theory of paraffin decompositions and of unimolecular reactions (Jach & Hinshelwood), 145.

Influence of solid boundaries upon aerodynamic sound (Curie), 505.Infra-red spectroscopic studies of rotational isomerism in the polymethylene halides

(Brown & Sheppard), 555.Instability of a layer of fluid heated below and subject to Coriolis forces. II. (Chand­

rasekhar & Elbert), 198.Integration of the boundary-layer equations for a plane in compressible flow with heat

transfer (Meksyn), 274.

Jach, J. & Hinshelwood, Sir Cyril. Influence of certain foreign gases on the thermal decomposition of paraffins. II. Relation to the general theory of paraffin decom­positions and of unimolecular reactions, 145.

Kothari, L. S. & Singwi, K. S. Thermal inelastic scattering of cold neutrons in poly- crystalline solids, 293.

Kuper, C. G. See Allcock & Kuper.

Lambert, J. D., Cotton, K. J., Pailthorpe, M. W., Robinson, A. M., Scrivens, J., Vale, W. R. F. & Young, R. M. Transport properties of gaseous hydrocarbons, 280.

Lindars, F. J. & Hinshelwood, Sir Cyril. The thermal decomposition of nitrous oxide.I. Secondary catalytic and surface effects, 162.

Lindars, F. J. & Hinshelwood, Sir Cyril. The thermal decomposition of nitrous oxide.II. Influence of added gases and a theory of the kinetic mechanism, 178.

Lock, W. O. & March, P. V. A study of the nuclear disintegrations produced by 950 MeV protons, 368.

Index 577

March, P. V. See Lock & March.Matterson, A. H. S. & Woodward, L. A. Relative intensities of totally symmetrical

vibrations in the Raman spectrum of gaseous neopentane, 514.Meksyn, D. Integration of the boundary-layer equations for a plane in compressible

flow with heat transfer, 274.Mercury, over-stable thermal convection in (Fultz & Nakagawa), 21L

Nakagawa, Y. See Fultz & Nakagawa.Navier-Stokes and energy equations (Stuart), 116.Nisbet, A. Hertzian electromagnetic potentials and associated gauge transformations,

250.Nitrous oxide, thermal decomposition of (Lindars & Hinshelwood), 162, 178.Norrish, R. G. W. See Christie, Harrison, Norrish & Porter.Nuclear disintegrations by 950 MeV protons (Lock & March), 368.

O’Brien, Mary C. M. The structure of the colour centres in smoky quartz, 404.

Pailthorpe, M. W. See Lambert and others.Paraffins, influence of foreign gases on decomposition of (Jach & Hinshelwood), 145. Parkes, E. W. The stresses in a built-up girder subjected to a concentrated load, 379. Pearson, W. B. & Templeton, I. M. Thermo-electricity at low temperatures. III. The

absolute scale of thermo-electric power: a critical discussion of the present scale at low temperatures and preliminary measurements towards its redetermination, 534,

Penetration depth and high-frequency resistance of superconducting aluminium (Faber & Pippard), 336.

Phase transition in superconductors. IV. Aluminium (Faber), 353.Pippard, A. B. See Faber & Pippard.Pneumatic and similar breakwaters (Evans), 457.Porter, G. See Christie, Harrison, Norrish & Porter.Propagation of tide and surge in an estuary (Proudman), 8.Proudman, J . The propagation of tide and surge in an estuary, 8.

Quantum field theory (Skyrme), 321.Quartz, smoky, structure of colour centres in (O’Brien), 404.Quartz surfaces, adhesion and charging of (Harper), 388.

Radio waves, long, reflexion of from ionosphere (Heading), 414.Recombination of atoms. II. Causes of variation in the observed rate constant for iodine

atoms (Christie, Harrison, Norrish & Porter), 446.Reflexion of vertically-incident long radio waves from the ionosphere when the earth’s

magnetic field is oblique (Heading), 414.Relative intensities of totally symmetrical vibrations in the Raman spectrum of gaseous

neopentane (Matterson & Woodward), 514.Robinson, A. M. See Lambert and others.‘Rotons’ in quantum hydrodynamics (Allcock & Kuyper), 226.Roy, K. D. See Das & Roy.

Sapphire crystals, thermal conduction in (Berman, Foster & Ziman), 130.Scrivins, J . See Lambert and others.Seaton, M. J. Further calculations on electron excitation of forbidden lines: transitions

with electric quadrupole moments, 37.Sheppard, N. See Brown & Sheppard.Simpson, J. H. On the thermal ionization of trapped electrons in ionic solids, 308.

578 Index

Singwi, K. S. See Kothari & Singwi.Skyrme, T. H. R. Quantum field theory, 321.Smith, E. See Bilby, Bullough & Smith. «Solution of the Navier-Stokes and energy equations illustrating the response of skin

friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity (Stuart), 116.

Some general results in the theory of large elastic deformations (Adkins), 75.Sorption and surface diffusion in microporous carbon cylinders (Barrer & Strachan),52.Sphere, floating, making periodic heaving oscillations (Havelock), 1.Spin-echoes in the presence of non-axially symmetric quadrupole interaction in crystals

(Das & Roy), 244.Strachan, E. See Barrer & Strachan.Stresses in a built-up girder subjected to a concentrated load (Parkes), 379.Structure of the colour centres in smoky quartz (O’Brien), 404.Stuart, J. T. A solution of the Navier-Stokes and energy equations illustrating the

response of skin friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity, 116.

Study of the nuclear disintegrations produced by 950 MeV protons (Lock & March), 368.

Taylor, Sir Geoffrey. The action of a surface current used as a breakwater, 466.Templeton, I. M. See Pearson & Templeton.Thermal conduction in artificial sapphire crystals at low temperatures. I. Nearly perfect

crystals (Berman, Foster & Ziman), 130.Thermal decomposition of nitrous oxide. I. Secondary catalytic and surface effects

(Lindars & Hinshelwood), 162.Thermal decomposition of nitrous oxide. II. Influence of added gases and a theory of

the kinetic mechanism (Lindars & Hinshelwood), 178.Thermal inelastic scattering of cold neutrons in poly crystalline solids (Kothari & Singwi),

293.Thermal ionization of trapped electrons in ionic solids (Simpson), 308.Thermo-electricity at low temperatures. III. The absolute scale of thermo-electric

power: a critical discussion of the present scale at low temperatures and preliminary measurements towards its redetermination (Pearson & Templeton), 534.

Tide and surge in an estuary (Proudman), 8.Time reversal in field theory (Bell), 479.Transport properties of gaseous hydrocarbons (Lambert and others), 280.

Vale, W. R. F. See Lambert and others.

Watson, E. J. Boundary-layer growth, 104.Waves due to a floating sphere making periodic heaving oscillations (Havelock), 1.Wilks, J. SeeFairbank & Wilks.Woodward, L. A. See Matterson & Woodward.

Young, R. M. See Lambert and others.

Ziman, J. M. See Berman, Foster & Ziman.

END OF THE TWO HUNDRED AND THIRTY-FIRST VOLUME (SERIES A)

PROCEEDINGSOF TH E

ROYAL SOCIETY OF LONDON

SERIES A. MATHEMATICAL AND PHYSICAL SCIENCES

VOL 2 3 1

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 6 1 )

CONTENTS

SERIES A VOLUME 231

No. 1184. 19 July 1955PAGE

Waves due to a floating sphere making periodic heaving oscillations. By SirThomas Havelock, F.R.S.................................................................................................1

The propagation of tide and surge in an estuary. By J. Proudman, F.R.S. . 8The estimation of the critical load of a braced framework. By H. G. Allen . 25Further calculations on electron excitation of forbidden lines: transitions with

electric quadrupole moments. By M. J. S e a to n .................................................... 37Sorption and surface diffusion in microporous carbon cylinders. By R. M. Barrer

and E. S trach a n ........................................................................................................... 52Some general results in the theory of large elastic deformations. By J. E. Adkins 75 The frequency response of a defocused optical system. By H. H. Hopkins . 91Boundary-layer growth. By E. J . Watson . . . . . . . 104A solution of the Navier-Stokes and energy equations illustrating the response of

skin friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity. By J. T. Stuart . . . . . . . 1 1 6

Thermal conduction in artificial sapphire crystals at low temperatures. I. Nearlyperfect crystals. By R. Berman, E. L. Foster and J. M. Ziman . . . 130

No. 1185. 22 August 1955

Influence of certain foreign gases on the thermal decomposition of paraffins.II. Relation to the general theory of paraffin decompositions and of uni- molecular reactions. By J. Jach and Sir Cyril Hinshelwood, For.Sec.R.S. . 145

The thermal decomposition of nitrous oxide. I. Secondary catalytic and surfaceeffects. By F. J. Lindars and Sir Cyril Hinshelwood, For.Sec.R.S. . . 162

The thermal decomposition of nitrous oxide. II. Influence of added gases and a theory of the kinetic mechanism. By F. J. Lindars and Sir CyrilHinshelwood, For.Sec.R.S........................................................................................... 178

The instability of a layer of fluid heated below and subject to Coriolis forces.II. By S. Chandrasekhar, F.R.S. and Donna D. Elbert . . . . 198

Experiments on over-stable thermal convection in mercury. By D. Fultz andY. Nakagawa. (Plate 1). . . . . . . . . . 211

‘ Rotons ’ in quantum hydrodynamics. By G. R. Allcock and C. G. Kuper . . 226Spin-echoes in the presence of non-axially symmetric quadrupole interaction in

crystals. By T. P. Das and D. K. Roy . . . . . . . 244Hertzian electromagnetic potentials and associated gauge transformations. By

A. Nisbet . . . . . . . . . . . . . 250Continuous distributions of dislocations: a new application of the methods of non-

Riemannian geometry. By B. A. Bilby, R. Bullough and E. Smith . . 263Integration of the boundary-layer equations for a plane in compressible flow with

heat transfer. By D. M e k s y n .............................................................................. 274Transport porperties of gaseous hydrocarbons. By J. D. Lambert, K. J. Cotton,

M. W. Pailthorpe, A. M. Robinson, J. Scrivins, W. R. F. Vale and R. M.Young . . . . . . . . . . . . . 280

The adsorption of bacteriophages by sensitive and resistant cells of Escherichia colistrain B. By S. Brenner. (A b strac t) ..................................................................... 291

IV

No. 1186. 6 September 1955

Contents

PAGEThermal inelastic scattering of cold neutrons in poly crystalline solids. By L. S.

Kothari and K. S. S in g w i ................................................................................. 293On the thermal ionization of trapped electrons in ionic solids. By J. H. Simpson 308Quantum field theory. By T. H. R. S k y r m e ...................................................... 321The penetration depth and high-frequency resistance of superconducting alu­

minium. By T. E. Faber and A. B. Pippard . . . . . . 336The phase transition in superconductors. IV. Aluminium. By T. E. Faber . 353A study of the nuclear disintegrations produced by 950 MeV protons. By W. O.

Lock, P. V. March and R. M cKeague............................................................... 368The stresses in a built-up girder subjected to a concentrated load. By E. W. Parkes 379 Adhesion and charging of quartz surfaces. By W. R. Harper . . . . 388The structure of the colour centres in smoky quartz. By Mary C. M. O’Brien . 404The reflexion of vertically-incident long radio waves from the ionosphere when

the earth’s magnetic field is oblique. By J. Heading . . . . . 414

No. 1187. 20 September 1955

Green and orange band spectra of CaOH, CaOD and calcium oxide. By A. G.Gaydon, F.R.S. (Plate 2 ) ................................................................................. 437

The recombination of atoms. II. Causes of variation in the observed rate constant for iodine atoms. By Margaret I. Christie, Anna J. Harrison, R. G. W. Nor-rish, F.R.S. and G. P o r t e r ................................................................................. 446

Pneumatic and similar breakwaters. By J. T. Evans . . . . . . 457The action of a surface current used as a breakwater. By Sir Geoffrey Taylor, F.R.S. 466Time reversal in field theory. By J. S. Bell . . . . . . . 479Gravity waves in flowing water. By J. N. Hunt . . . . . . 496The influence of solid boundaries upon aerodynamic sound. By N. Curie . . 505Relative intensities of totally symmetrical vibrations in the Raman spectrum of

gaseous neopentane. By A. H. S. Matterson and L. A. Woodward . . 514Gel formation by main-chain fracture of long-chain polymers. By A. Charlesby 521Thermo-electricity at low temperatures. III. The absolute scale of thermo­

electric power: a critical discussion of the present scale at low temperatures and preliminary measurements towards its redetermination. By W. B. Pearson and I. M. Templeton . . . . . . . . . 534

Heat transfer in liquid helium below 1° K. By H. A. Fairbank and J. Wilks . 545Infra-red spectroscopic studies of rotational isomerism in the polymethylene

halides. By J. K. Brown and N. Sheppard . . . . . . 555Index . . . . . . . . . . . . . . 557

PROCEEDINGS OF THE ROYAL SOCIETY, SERIES No 1187 20 September 1955 Vol 231

CONTENTS

Green and orange band spectra of CaOH, CaOD and calcium oxide. By A. G. GAYDON, F.R.S. (Plate 2 ) ....................................................

The recombination of atoms. II. Causes of variation in the observed rate constant for iodine atoms. By MARGARET I. CHRISTIE, ANNA J. HARRISON, R. G. W. NORRISH, F.R.S. and G. PO RTER.

Pneumatic and similar breakwaters. By J. T. EVANS . . . .

The action of a surface current used as a breakwater. By Sir GEOFFREY TAYLOR, F.R.S..............................................................................................

Time reversal in field theory. By J. S. BELL....................................................

Gravity waves in flowing water. By J. N. HUNT . . . . .

The influence of solid boundaries upon aerodynamic sound. By N. CURLE

Relative intensities of totally symmetrical vibrations in the Raman spectrum of gaseous neopentane. By A. H. S. MATTERSON and L. A. W O O D W A R D .............................................................................................

Gel formation by main-chain fracture of long-chain polymers. By A. C H A R L E S B Y .............................................................................................

Thermo-electricity at low temperatures. III. The absolute scale of thermo­electric power: a critical discussson of the present scale at low tempera­tures and preliminary measurements towards its redetermination. By W. B. PEARSON and I. M. T E M PL E T O N ..........................................

Heat transfer in liquid helium below 1°K. By H. A. FAIRBANK and J. W IL K S ........................................................................................................

Infra-red spectroscopic studies of rotational isomerism in the polymethylene halides. By J. K. BROWN and N. SHEPPARD . . . .

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

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

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