Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-15T07:28:00.755Z Has data issue: false hasContentIssue false
  • English
  • Français

Orientation Mapping: 1987 MRS Fall Meeting Von Hippel Award Lecture

Published online by Cambridge University Press:  29 November 2013

Charles Frank
Charles Frank*
Affiliation:
University of Bristol, United Kingdom
Get access

Extract

I must support the judgment of the Materials Research Society in naming its principal award after von Hippel. His early work was on dielectrics, and that is the area in which my own introduction to materials science was made. In fact, I habitually claim that one of the inventors and fathers of the subject was E.B. Moullin, Reader in Electrical Engineering at Oxford and later Professor of Electrical Engineering at Cambridge. In 1933 he approached my chemistry tutor, Sidgwick, saying “I have this man Willis Jackson coming to do a D.Phil, with me. He knows how to measure dielectric loss. I think that if I can put a physical chemist to work alongside him we might make that cease to be just an engineering parameter to be measured and come to know what causes it—and then perhaps design new materials which are better.” Sidgwick nominated me as the physical chemist, and as far as I am concerned that is where the subject of materials science begins.

My subject is how you should display the statistics of orientations of polycrystals. For this subject I have several heroes from the past. They are Euler, of course, Rodrigues, Cayley and Klein. Of these the most unjustly neglected is Olinde Rodrigues, which is something I have only come to know in comparatively recent years. The whole subject is one to which I have returned on and off, learning a little more each time, since it was first put to me as a problem by C.G. Dunn just about 30 years ago.

Type
Technical Features
Information
MRS Bulletin , Volume 13 , Issue 3 , March 1988 , pp. 24 - 31
Copyright
Copyright © Materials Research Society 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Euler, L., “Formulae generales pro translatione quacunque corporum rigidorum,” Novi commeritarii Acad. Sci. Imp. Petrop. 20 (1775) p. 189–207.Google Scholar
2.Euler, L., “Nova methodus motum corporum rigodorum determinandi,” Novi commentarii Acad. Sci. Imp. Petrop. 20 (1775) p. 208–238.Google Scholar
3.Rodrigues, O., J. des Mathématiques Pures et Appliquiées (also called J. de Mathématique et de Physique, or Liouville's Journal) 5 (1840) p. 380–440.Google Scholar
4.Gibbs, J.W. (1899-1900), Wilson, E.B. (1962), Vector Analysis, textbook for the use of students of mathematics and physics founded upon the lectures of J. Willard Gibbs (Dover, New York, 1962).Google Scholar
5.Gray, J. (1980), Olinde Rodrigues' paper of 1840 on transformation groups, Arch. for History of Exact Sciences 21 (1980) p. 375–385.CrossRefGoogle Scholar
6.Klein, F. (1840), Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade: Teubner, Leipzig (with acknowledgement to Cayley, Math. Annalen 15 (1879 p. 34). [English translation by Morrice, G.G., 2nd ed. (Dover, New York, 1956)].Google Scholar
7.Klein, F. and Sommerfeld, A., Theorie des Kreisels, Vol. I, (Teubner, Leipzig, 1897) Chapter I.Google Scholar
8.Whittaker, E.I., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge University Press, 1904).Google Scholar
9.Goldstein, M., Classical Mechanics (Addison-Wesley, Reading, MA, 1950).Google Scholar
10.Altmann, S.L., Rotations, Quaternions and Double Groups (Clarendon Press, Oxford, 1986).Google Scholar
11.Frank, F.C., “Orientation Mapping,” in Polymer NDE, Proceedings of the European Workshop in Vimeiro, Portugal, September 4-5, 1984, edited by Ashbee, K.H.G. (Technomic Publishing Co., Lancaster, PA, 1984) p. 178–189.Google Scholar
12.Frank, F.C., The Icosahedral Orientation Manifold as a Model for Icosahedral Close-Packing,” in J. de Physique, Colloq. C 3, suppl. to No. 7, Vol. 47, (International Workshop on Aperiodic Crystals, Les Houches, March 11-20, 1986) p. 165–172.Google Scholar
13.Dingley, D.J., Eighth International Conference on Textures of Materials (Santa Fe, NMSeptember 1987).Google Scholar