Ado’s theorem by Andrew Phillips

By Andrew Phillips

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McGEE IV. SUMMARY Some of the theoretical aspects of grain boundaries in ceramic materials have been reviewed. The presence of grain boundaries may control such properties as ductility, internal friction, strength, creep, magnetic behavior, polarization, conductivity, transparency, and thermal emission. V. ACKNOWLEDGMENTS The support of the U. S. Army Research Office (Durham) is gratefully acknowledged. REfERENCES 1. S. Amelinckx and W. " in Solid State Physics, Advances in Research and Applications, Vol.

R. W. VEST. AND H. C. GRAHAM gists. The role of these defects in ceramic materials is now receiving increasing attention, but these studies have been hampered by inherent complexities that generally do not arise in the study of metals. In addition to the obvious presence of a greater variety of defects, both cation and anion vacancies, interstitials, and impurities, one has to consider carefully deviations from stoichiometry induced by oxidation or reduction of the material and the ionization steps producing the various charged defect species and finite concentrations of electrons and holes.

W. VEST. AND H. C. 3 -8 at J' ~ ~ ~ ~ -10 If A b- \', \', D< ' . . . -12 lbl Sample ZCS-6 2 -4 100 200 \ \ \ ,, I I : O'e»O'j 00'(0) 00'(00) ,, \, . 4 T Fig. 5. 8Sas a function of temperature. Fe203, cold pressing, and firing at 1750°C in air for 6 hr. Results of a spectrographic analysis of ZCS-6 are given in Table II. Since aluminum is not a transition metal, its effect on the electrical properties should be small relative to that of the chromium, vanadium, and iron. Figure 5a is a plot of both the zero and infinite time conductivities of sample ZCS-2 as a function of temperature at an oxygen partial pressure of 10- 9 atm.

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