I N D E X E S TO VOLUME 350 (A)

Author index

Ananthakrishna, G. See Gopal, Chandra Sekhar, Anantliakrishna, Ramachandra & Subramanyam.

Asaad, W. N. & Petrini, D. Relativistic calculation of the K-LL Auger spectrum, 381.

Budden, K. G. Radio caustics and cusps in the ionosphere, 143.Budden, K. G. & Smith, M. S. Phase memory and additional memory in W.K.B.

solutions for wave propagation in stratified media, 27.Burge, R. E., Fiddy, M. A., Greenaway, A. H. & Ross, G. The phase problem, 191.Buxton, B. F. Bloch waves and higher order Laue zone effects in high energy electron

diffraction, 335.Byatt-Smith, J. G. B. & Longuet-Higgins, M. S. On the speed and profile of steep

solitary waves, 175.

Cannell, P. A. Acoustic edge scattering by a heavily loaded elastic half-plane, 71.Carpenter, G. F., Coe, M. J., Engel, A. R. & Quenby, J. J. Ariel 5 hard X-ray measure

ments of galactic and extragalactic X-ray sources, 521.Cassell, A. C., Henderson, J. C. de C. & Ramachandran, K. Cycle bases of minimal

measure for the structural analysis of skeletal structures by the flexibility method, 61.

Chandra Sekhar, P. See Gopal, Chandra Sekhar, Ananthakrishna, Ramachandra & Subramanyam.

Chandrasekhar, S. & Detweiler, S. On the equations governing the gravitational perturbations of the Kerr black hole, 165.

Coe, M. J. See Carpenter, Coe, Engel & Quenby.Cokelet, E. D. See Longuet-Higgins & Cokelet.Connerade, J. P., Garton, W. R. S., Mansfield, M. W. D. & Martin, M. A. P. The T11

absorption spectrum in the vacuum ultraviolet, 47.Connerade, J. P., Mansfield, M. W. I). & Martin, M. A. P. Observation of a ‘giant

resonance ’ in the 3p absorption spectrum of Mn i, 405.Courtier, G. M. See Smith & Courtier.

Derrick, P. J. See Martinussen-Runde, Melrose & Derrick.Detweiler, S. See Chandrasekhar & Detweiler.

Engel, R. See Carpenter, Coe, Engel & Quenby.

Fiddy, M. A. See Burge, Fiddy, Greenaway & Ross.

Garton, W. R. S. See Connerade, Garton, Mansfield & Martin.Gerratt, J. The calculation of intermolecular potential energy surfaces. I. Basic theory,

363.Gopal, E. S. R., Chandra Sekhar, P., Ananthakrishna, G., Ramachandra, R. & Subra

manyam, S. V. Two-phase asymmetry in the phase diagram of critical binary liquid systems: carbon disulphide + nitromethane and cyclohexane+ acetic anhydride, 91.

[ 567 ]

568 Author indexGreenaway, A. H. See Burge, Fiddy, Greenaway & Ross.Gull, T. R., York, D. G., Snow, Jr, P. & Henize, K. G. On the distance to the candidate

star coincident with A0620-00, 487.

Hall, P. See Seminara & Hall.Harris, S. C. Microwave studies of superconducting two-phase In-Sn, 267.Henderson, J. C. de C. See Cassell, Henderson & Ramachandran.Henize, K. G. See Gull, York, Snow & Henize.Holt, S. S. Results from the Ariel 5 All-Sky Monitor, 505.

Irvine, H. M. The linear theory of free vibrations of suspended membranes, 317.Ives, J. C. See Sanford & Ives.

Joyner, R. W. & Roberts, M. W. Photoelectron spectroscopic investigation of the adsorption and catalytic decomposition of formic acid by copper, nickel and gold, 107.

King-Hele, D. G. & Walker, Doreen M. C. The effects of atmospheric winds on satellite orbits of high eccentricity, 251.

Krause, J. T. See Simpkins & Krause.

Longuet-Higgins, M. S. & Cokelet, E. D. The deformation of steep surface waves on water. I. A numerical method of computation, 1.

Longuet-Higgins, M. S. See Byatt-Smith & Longuet-Higgins.

Mansfield, M. W. D. See Connerade, Garton, Mansfield & Martin; also Connerade, Mansfield & Martin.

Martin, M. A. P. See Connerade, Garton, Mansfield & Martin; also Connerade, Mansfield & Martin.

Martinussen-Runde, 0. J., Melrose, M. P. & Derrick, P. J. Molecular orbital theory in mass spectrometry. Ab initio calculations on 2-methylpropene and the 2-methyl- propene radical-cation, 553.

Melrose, M. P. See Martinussen- Runde, Melrose & Derrick.

Papadopoulos, G. J. Functional integrals for Fermi systems without quaternions, 547.Petrini, D. See Asaad & Petrini.Pollock, M. D. The interaction between a weak magnetic field and a slowly rotating

black hole, 239.Pounds, K. A. Observations of binary X-ray sources with Ariel 5, 441.Pringle, J. E. The nature of transient X-ray sources, 481.

Quenby, J. J. See Carpenter, Coe, Engel & Quenby.

Ramachandran, K. See Cassell, Henderson & Ramachandran.Ramachandra, R. See Gopal, Chandra Sekhar, Ananthakrishna, Ramachandra &

Subramanyam.Roberts, M. W. See Joyner & Roberts.Ross, G. See Burge, Fiddy, Greenaway & Ross.

Sanford, P. W. & Ives, J. C. Ariel results on extragalactic X-ray sources, 491.Seminara, G. & Hall, P. Centrifugal instability of a Stokes layer: linear theory, 299.

Author index 569Simpkins, P. G. & Krause, J. T. Dynamic response of glass fibres during tensile fracture,

253.Smith, J. F. & Courtier, G. M. The Ariel 5 programme, 421.Smith, M. S. See Budden & Smith.Snow, P. See Gull, York, Snow & Henize.Subramanyam, S. V. Gopal, Chandra Sekhar, Ananthakrishna, Ramachandra & Subra-

manyam.

Vail, J. R. Outline of the geochronology and tectonic units of the basement complex of northeast Africa, 127.

Walker, Doreen M. C. See King-Hele & Walker.Warren, F. W. On the method of Hermitian forms and its application to some problems

of hydrodynamic stability, 213.Willmore, A. P. Transient X-ray sources, 463.

York, D. G. See Gull, York, Snow & Henize.

Subject index

Acoustic edge scattering by a heavily loaded elastic half-plane, 71.Additional memory for waves in stratified media. 27.Atmospheric winds, 281.Auger spectrum, relativistic calculation of the K-LL, 381.

Black hole, interaction with external magnetic field, 239.Black hole, slowly rotating; interaction with weak external magnetic field, 239.

Carbon disulphide + nitromethane system, 91.Catalytic decomposition of formic acid by Cu, Ni and Au, 107.Caustics and cusps in the ionosphere, 143.Centrifugal instability of Stokes layers, 299.Computation of steep surface waves, 1.Critical phenomena in binary liquid systems, 91.Cycle basis selection for skeletal structures, 61.Cyclohexane + acetic anhydride system, 91.

Discussion on the scientific results from the Ariel 5 satellite, 419.

Electron diffraction Bloch waves and Laue zone effects, 335.Electron spectroscopic study of the catalytic decomposition of formic acid by Cu, Ni and

Au, 107.

Flexibility analysis of skeletal structures, 61.Flexural waves in glass rods, 253.Functional integrals for Fermi systems, 547.

Geochronology of basement complex of northeast Africa, 127.Gravitational perturbations of the Kerr black hole, on the equations over, 165.

Hermitian forms and applications to some problems of hydrodynamic stability, 213. Hilbert transforms, 191.Hydrodynamic stability problems and Hermitian forms, 213.

Intermolecular potential energy surfaces, calculation of, 363.Ionosphere, radio caustics and cusps, 143.

K-LL auger spectrum, relativistic calculation of the, 381.

Laue zone effects in high energy electron diffraction, 335.Linear theory of free vibrations of suspended membranes, 317.

Manganese 3p absorption spectrum observation of a ‘giant resonance’, 405.Memory for waves in stratified media, 27.Microwave studies of superconducting two-phase In-Sn, 267.Molecular orbital theory in mass spectrometry, 553.

Northeast Africa, geochronology and tectonic units, 127.

[ 570 ]

Subject indexOptical fibre fracture, 253.Orbital symmetry rules in mass spectrometry, 553.

Phase problem, 191.Potential energy surfaces, intermolecular, calculation of, 363.

Satellite - Ariel 5, scientific results from, 419.Satellite orbits, 281.Solitary waves, speed of, 175.Spectrum absorption of T11 in the vacuum ultraviolet, 47.Spectrum 3p absorption of Mn i observation of a ‘giant resonance’, 405. Stability of periodic flows, 299.Superconducting two-phase In-Sn, microwave studies of, 267.

Thallium absorption spectrum of T11 in the vacuum ultraviolet, 47.

Waves, deformation of, 1.Waves, steep solitary, 175.

X-ray astronomy satellite, Ariel 5, 419.

END OE THE THREE HUNDRED AND FIFTIETH VOLUME (SERIES A)

PROCEEDINGS OF THE ROYAL SOCIETY

OF LONDON

S ER IE S A V O L U M E 350M A T H E M A T I C A L AND P H Y S IC A L SC IEN C ES

1976

P U B L I S H E D BY T H E R O Y A L S O C I E T Y 6 C A R L T O N H O U S E T E R R A C E L O N D O N SW1Y 5AG

The four numbers in this volume can be obtained separately from the Royal Society, 6 Carlton House Terrace, London SW1Y 5AG.

Printed in Great Britain at the University Printing , Cambridge

CONTENTS

S E R I E S A VOLUME 350

N u m b e r 1660 30 J u l y 1976The deformation of steep surface waves on water. I. A numerical method of

computation. By M. S. Longuet-Higgins, F.R.S. and E. D. Cokelet 1Phase memory and additional memory in W.K.B. solutions for wave propagation

in stratified media. By K. G. Budden, F.R.S. and M. S. Smith 27The T11 absorption spectrum in the vacuum ultraviolet. By J. P. Connerade,

W. R. S. Garton, F.R.S., M. W. D. Mansfield and M. A. P. Martin.[Plates 1 and 2] 47

Cycle bases of minimal measure for the structural analysis of skeletal structures by the flexibility method.By A. C. Cassell, J. C. de C. Henderson and K. Ramachandran 61

Acoustic edge scattering by a heavily loaded elastic half-plane. By P. A. Cannell 71Two-phase asymmetry in the phase diagram of critical binary liquid systems:

carbon disulphide + nitromethane and cyclohexane + acetic anhydride.By E. S. R. Gopal, P. Chandra Sekhar, G. Ananthakrishna, R. Ramachandra and S. V. Subramanyam 91

Photoelectron spectroscopic investigation of the adsorption and catalytic decomposition of formic acid by copper, nickel and gold.By R. W. Joyner and M. W. Roberts 107

Outline of the geochronology and tectonic units of the basement complex ofnortheast Africa. By J. R. Vail 127

N u m b e r 1661 20 A u g u s t 1976Radio caustics and cusps in the ionosphere. By K. G. Budden, F.R.S. 143On the equations governing the gravitational perturbations of the Kerr black hole.

By S. Chandrasekhar, F.R.S. and S. Detweiler 165On the speed and profile of steep solitary waves.

By J. G. B. Byatt-Smith and M. S. Longuet-Higgins, F.R.S. 175The phase problem.

By R. E. Burge, M. A. Fiddy, A. H. Greenaway and G. Ross 191On the method of Hermitian forms and its application to some problems of hydro-

dynamic stability. By F. W. Warren 213The interaction between a weak magnetic field and slowly rotating black hole.

By M. D. Pollock 239Dynamic response of glass fibres during tensile fracture.

By P. G. Simpkins and J. T. Krause. [Plates 1-4] 253

Microwave studies of superconducting two-phase In-Sn. By S. C. Harris 267

IV Contents

N u m b e r 1662 17 S e p t e m b e r 1976The effects of atmospheric winds on satellite orbits of high eccentricity.

By D. G. King-Hele, F.R.S. and Doreen M. C. Walker 281Centrifugal instability of a Stokes layer: linear theory.

By G. Seminara and P. Hall. [Plates 1 and 2] 299The linear theory of free vibrations of suspended membranes.

By H. M. Irvine 317Bloch waves and higher order Laue zone effects in high energy electron diffraction.

By B. F. Buxton. [Plate 1] 335The calculation of intermolecular potential energy surfaces. I. Basic theory.

By J. Gerratt 363Relativistic calculation of the K-LL Auger spectrum.

By W. N. Asaad and D. Petrini 381Observation of a ‘ giant resonance ’ in the 3p absorption spectrum of Mn I.

By J. P. Connerade, M. W. D. Mansfield and M. A. P. Martin. [Plate 1] 405

N u m b e r 1663 1 O c t o b e r 1976A DISCUSSION ON SCIENTIFIC RESULTS FROM THE ARIEL 5 SATELLITE

ARRANGED BY THE BRITISH NATIONAL COMMITTEE ON SPACE RESEARCH UNDER THE LEADERSHIP OF SIR HARRIE MASSEY, SEC.R.S., K. A. POUNDS

AND A. P. WILLMORE

The Ariel 5 programme. By J. F. Smith and G. M. Courtier. [1 plate] 421Observations of binary X-ray sources with Ariel 5. By K. A. Pounds. [1 plate] 441Transient X-ray sources. By A. P. Willmore 463The nature of transient X-ray sources. By J. E. Pringle 481On the distance to the candidate star coincident with A0620-00.

By T. R. Gull, D. G. York, P. J. Snow and K. G. Henize. [1 plate] 487Ariel results on extragalactic X-ray sources. By P. W. Sanford and J. C. Ives 491Results from the Ariel 5 All-Sky Monitor. By S. S. Holt 505Ariel 5 hard X-ray measurements of galactic and extragalactic X-ray sources.

By G. F. Carpenter, M. J. Coe, A. R. Engel and J. J. Quenby 521

Functional integrals for Fermi systems without quaternions.By G. J. Papadopoulos 547

Molecular orbital theory in mass spectrometry: ab initio calculations on 2-methyl - propene and the 2-methylpropene radical-cation.By 0. J. Martinussen-Runde, M. P. Melrose and P. J. Derrick 553

Errata 565Indexes 567

Geodynamics Today

A Review of the Earth's Dynamic Processes

CONTENTS INCLUDE

Studies in historical siesmicity and tectonics Processes at constructive plate margins Measurements of horizontal displacements Magma production: influence of hydro

sphereContinental rift systems Plate collisionsOrigin and emplacement of ophiolites Atlantic island arcs Midplate volcanismKimberlite magmatism — its relationship to

movements in the sub-cratonic mantle Geodynamics of the early and mid Pre-

cambrian

The Earth's gravitational field Coastal geodesy and the relative movements

of land and sea levels The Earth tide signal Eastern Atlantic continental margin Mesozoic development of aseismic conti

nental shelves Heat flow processes Geophysical magnetohydrodynamics High pressure studies Rheology of crustal rocks Analytical seismology Explosion seismology studies Palaeomagnetism

297 x 210 mm ISBN 0 85403 073 5 197 pages

Price £2.75 (U.K. addresses) £2.85 (Overseas addresses)

PROCEEDINGS OF THE ROYAL SOCIETY, SERIES A

Number 1663 1 October 1976 Volume 350

CONTENTS

A DISCUSSION ON SCIENTIFIC RESULTS FROM THE ARIEL 5 SATELLITE ARRANGED BY THE BRITISH NATIONAL COMMITTEE ON SPACE RESEARCH

UNDER THE LEADERSHIP OF SIR HARRIE MASSEY, SEC.R.S., K. A. POUNDS ANDA. P. WILLMORE

S m it h , J. F. & C o u r t ie r , G. M. The Ariel 5 programme. [1 plate] pages 421-439

P o u n d s , K. A. Observations of binary X-ray sources with Ariel 5.[1 plate] 441-461

WiLLMORE, A. P. Transient X-ray sources 463-479

P r in g l e , J. E. The nature of transient X-ray sources 481-486

G u l l , T. R., Y o r k , D. G., S n o w , P. J r & H e n i z e , K. G. On the distance to the candidate star coincident with A0620-00. [1 plate] 487-490

S a n f o r d , P. W. & I v e s , J. C. Ariel results on extragalactic X-ray sources 491-503

H o l t , S. S. Results from the Ariel 5 All-Sky Monitor 505-519

Ca r p e n t e r , G. F., C o e , M. J., E n g e l , A. R. & Q u e n b y , J. J. Ariel 5 hard X-ray measurements of galactic and extragalactic X-ray sources 521-545

P apadopoulos, G. J. 547-552Functional integrals for Fermi systems without quaternions

Martinussen-Ru n d e , O. J., Melrose, M. P. & D errick, P. J. 553-564Molecular orbital theory in mass spectrometry: ab initio calculations on 2-methylpropene and the 2-methylpropene radical-cation

E r r a t a 565

Indexes 567-571* * *

Volume title page and contents

Published by the Royal Society, 6 Carlton House Terrace, London

Printed in Great Britainfor the Royal Society at the University Printing House, Cambridge

PROCEEDINGS OF THE ROYAL SOCIETY

OF LONDON

A. M A T H E M A T I C A L AND P H Y S IC A L S C I E N C E S

Volume 350 pp. 419-571 Number 1663

P R L A A Z 350 (1663) 419-571 (1976)

1 October 1976

I n c l u d i n gA D i s c u s s i o n o n s c i e n t i f i c r e s u l t s f r o m t h e

A r i e l 5 s a t e l l i t e

Arranged by the British National Committee on Space Research under the leadership of Sir Harrie Massey, Sec.R.S.,

K. A. Pounds and A. P. Willmore

P U B L I S H E D BY T H E R O Y A L S O C I E T Y C A R L T O N H O U S E T E R R A C E L O N D O N SW1Y 5AG