MECHANISMS OF INITIAL SINTERING OF A FINE ALUMINA POWDER

Similar documents
STRAIN RATE DEPENDENCE ON MECHANICAL PROPERTIES IN SOME COMMERCIAL ALUMINUM ALLOYS

ATOM PROBE ANALYSIS OF β PRECIPITATION IN A MODEL IRON-BASED Fe-Ni-Al-Mo SUPERALLOY

The Effect of Nitrogen on Martensite Formation in a Cr-Mn-Ni Stainless Steel

IDENTIFICATION OF AN ORDERED HEXAGONAL BeFe PHASE

Simulation of Dislocation Dynamics in FCC Metals

HIGH DAMPING IN GREY CAST IRON

Grain growth and Ostwald ripening in chromia-doped uranium dioxide

NANOINDENTATION-INDUCED PHASE TRANSFORMATION IN SILICON

DISLOCATION RELAXATION IN HIGH PURITY POLYCRYSTALLINE ALUMINUM AT MEGAHERTZ FREQUENCIES

CHEMICAL VAPOR DEPOSITION OF IR-TRANSMITTING ZINC SULPHIDE

Powder metallurgical processing of a SiC particle reinforced Al-6wt.%Fe alloy

On the relation between the Luders deformation and grain boundary structure in aluminium alloy

APFIM AND FEM STUDY OF Mo-La ALLOY WIRE

Silicon carbonitrides - A novel class of materials

EPITAXIAL GROWTH AND SOME PROPERTIES OF SAMARIUM CRYSTALS ON TUNGSTEN

High Purity Chromium Metal Oxygen Distribution (Determined by XPS and EPMA)

Non destructive observation by X-ray diffraction on a berlinite crystal

THE INTERPRETATION OF ELECTRON DIFFRACTION PATTERNS FROM Ni-Al MARTENSITE

THE EFFECT OF SILICA ON THE MICROSTRUCTURE OF MnZn FERRITES

LONG-RANGE ICOSOHEDRAL SYMMETRY IN A METALLIC PHASE OBSERVED BY FIELD ION MICROSCOPY

Precipitation mechanisms and subsequent hardening kinetics in the β-cez alloy

THERMAL PULSE ANNEALING OF TITANIUM AND TANTALUM SILICIDES

Heat line formation during roll-casting of aluminium alloys at thin gauges

Practical 2P8 Transmission Electron Microscopy

Secondary recrystallization of oxide dispersion strengthened ferritic alloys

HYDROGEN SEGREGATION AND DIFFUSION AT GRAIN BOUNDARIES

CVD COATING OF CERAMIC LAYERS ON CERAMIC CUTTING TOOL MATERIALS

Densification superficielle de matériaux poreux par choc laser

Effect of the Hydrogen Induced Degradation of Steel on the Internal Friction Spectra

Selecting the components of composites

INTERDIFFUSION OF Au/Ni/Cr ON SILICON SUBSTRATE

Carbon-free sliding interface in sol-gel processed SiC Nicalon fiber-refractory oxyde matrix composites

Physical properties of epoxy and free volume evaluated by positron annihilation spectroscopy

Practical 2P8 Transmission Electron Microscopy

Effects of temperature on monotonic and fatigue properties of carbon fibre epoxy cross ply laminates

Fatigue of High Purity Copper Wire

Structure/property relationships in HSLA steel with low carbon and manganese and increased silicon content

Pressure effects on the solubility and crystal growth of α-quartz

DIFFICULTIES IN GRAIN REFINING ALUMINUM LITHIUM ALLOYS USING COMMERCIAL Al-Ti AND Al-Ti-Bor MASTER ALLOYS

ATOM PROBE STUDY OF A Ti-10V-2Fe-3Al ALLOY : PRELIMINARY RESULTS

Drum- and -Disc-Engine with Shape Memory Wires

MECHANICAL AND ELECTRICAL PROPERTIES OF A NiTi SHAPE MEMORY ALLOY

Study of the precipitation in MgO.3.5 Al2O3 during creep experiments

Metal-ceramic joining by laser

BALLISTIC PERFORATION OF POLYCARBONATE SHEET AND ITS HIGH STRAIN RATE RESPONSE

KPY 12 - A PRESSURE TRANSDUCER SUITABLE FOR LOW TEMPERATURE USE

Mechanism of two Way Shape Memory Effect Obtained by Stabilised Stress Induced Martensite

Effect of grain orientation on the development of dislocation substructures during colddeformation

Non-Platinum metal oxide nano particles and nano clusters as oxygen reduction catalysts in fuel cells.

Evolution of the porous volume during the aerogel-glass transformation

Laser cladding of copper base alloys onto Al Si7 Mg0.3

ATOM-PROBE ANALYSIS OF ZIRCALOY

CHARACTERIZATION OF POLYCRYSTALLINE SILICON BY EBIC

A new method of making metal matrix fibre reinforced materials

STRUCTURES OF AMORPHOUS MATERIALS AND SPECIFIC VOLUME VARIATIONS VERSUS THE TEMPERATURE

ELLIPSOMETRY OF NICKEL-OXIDES AND -HYDROXIDES IN ALKALINE ELECTROLYTE

ELECTRON MICROSCOPIC OBSERVATIONS OF SMALL GOLD CLUSTERS

PHOTOCONDUCTIVITY IN a-si : H AND a-sixc1-x : H, CORRELATION WITH PHOTOLUMINESCENCE RESULTS

THE EFFECT OF DYNAMIC LOADING ON THE STRUCTURE AND PROPERTIES OF 18G2A AND 14HNMBCu STEELS

EXPERIMENTAL EVIDENCE OF SULFUR EFFECT ON THE PLANE AND ON THE EXTRINSIC DISLOCATIONS OF A Σ = 3 GRAIN BOUNDARY IN NICKEL

Stabilization of Austenite Associated with Prior Formation of Martensite

Ductility of Ultra High Purity Copper

LASER PROCESSING OF METAL-CERAMIC COMPOSITE MULTILAYERS

STRUCTURAL ANISOTROPY OF AMORPHOUS ALLOYS INDUCED BY MECHANICAL CREEP DEFORMATION

Atomic structure of vitreous interfacial films in sialon

Computerized simulation of thermal behaviour during forging sequences

COBALT SEGREGATION IN CARBIDE GRAIN BOUNDARIES IN WC-Co COMPOSITES

Magnetic anisotropy in iron thin films evaporated under ultra-high vacuum

HIGH RESOLUTION ELECTRON MICROSCOPY OF GRAIN BOUNDARIES IN fcc AND bcc METALS

Real-Time Control of Resonance in Smart Shape-Memory Alloy Hybrid Laminates

SPECTROSCOPIC PROPERTIES AND OPERATION OF PULSED HOLMIUM LASER

Numerical calculation of the odd part of the texture function

BRIDGMAN GROWTH AND PROPERTIES OF LuAlO3-Nd3+ LASER CRYSTALS

Growth kinetics of copper thin films in different MOCVD systems

Sintering behaviour of CeO2-Gd2O3 powders prepared by the oxalate coprecipitation method

CMOS 1 MICRON ISOLATION TECHNOLOGY USING INTERFACE SEALING BY PLASMA NITRIDATION : PLASMA SILO

RESPONSE OF AISI TYPE 316 STAINLESS STEEL TO INTERRUPTED QUASI-STATIC TO IMPACT TENSION AT ELEVATED TEMPERATURES

Interaction between mechanosorptive and viscoelastic response of wood at high humidity level

STRUCTURAL RELAXATION AND CRYSTALLIZATION OF FeB AND NiP METALLIC GLASSES FOLLOWED BY INTERNAL FRICTION AND MODULUS MEASUREMENTS

Imperfections in the Atomic and Ionic Arrangements

CHARACTERISTICS OF FERRITE ELECTRODES

ELECTRONIC PROPERTIES OF SILICON INTERFACES PREPARED BY DIRECT BONDING

Finite Element Model of Gear Induction Hardening

THE SNOEK-KÊ-KOSTER PEAK IN Fe-P ALLOYS

Strain hardening of aluminium alloy 3004 in the deep drawing and ironing processes

Effect of Deformation and Thermal Treatment of NiTi Alloy on Transition Sequence

Bonding of aluminium matrix composites for application in the transport industry

EFFECT OF STRESS AND STRAIN ON MARTENSITIC TRANSFORMATION IN A Fe-Ni-Mo-C ALLOY WITH A HIGH Ms TEMPERATURE

HYSTERETIC DAMPERS FOR PROTECTING STRUCTURES DURING EARTHQUAKES

Influence of cold rolling and fatigue on the residual stress state of a metal matrix composite

LASER CLADDING BY POWDER INJECTION : OPTIMIZATION OF THE PROCESSING CONDITIONS

Time decay of the excited states of Eu+2 in europium-doped LMA

LOW CARBON AND SILICON STEEL QUADRUPOLE MAGNETS

Structural, Optical, Morphological and Elemental Analysis on Sol-gel Synthesis of Ni Doped TiO2 Nanocrystallites

Impact of cutting fluids on surface topography and integrity in flat grinding

HIGH TEMPERATURE DAMAGE ACCUMULATION IN HOT PRESSED ALUMINA

GRAIN BOUNDARY ANALYSIS IN Ni-C BY MEANS OF ATOM-PROBE FIELD-ION MICROSCOPY

PROPERTIES OF Fe-Cr-Ni-Mn-Si (-Co) SHAPE MEMORY ALLOYS

THE TEMPERATURE DEPENDENCE OF THE ANISOTROPY FIELD IN R2Fe14B COMPOUNDS (R = Y, La, Ce, Pr, Nd, Gd, Ho, Lu)

CASTABILITY OF Al-Li-Mg AND Al-Li-Cu-Mg ALLOYS

Transcription:

MECHANISMS OF INITIAL SINTERING OF A FINE ALUMINA POWDER S. Raman, R. Doremus, R. German To cite this version: S. Raman, R. Doremus, R. German. MECHANISMS OF INITIAL SINTERING OF A FINE ALUMINA POWDER. Journal de Physique Colloques, 1986, 47 (C1), pp.c1-225-c1-230. <10.1051/jphyscol:1986133>. <jpa-00225562> HAL Id: jpa-00225562 https://hal.archives-ouvertes.fr/jpa-00225562 Submitted on 1 Jan 1986 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

JOURNAL DE PHYSIQUE Colloque Cl, supplhment au n02, Tome 47, fhvrier 1986 page cl-225 MECHANISMS OF INITIAL SINTERING OF A FINE ALUMINA POWDER S.V. RAMAN*, R.H. DOREMUS and R.M. GERMAN Dept. of Materials Engineering, Rensselaer Polytechnic Institute, Troy, N. Y. 12181, U. S.A. R6surnB - Nous avons studis par microscopic electronique et diffraction des rayons X le mecanisme du frittage de l'alumine. La transformation de l'alumine gamma en alumine alpha influence la vitesse de frittage. Cette transformation semble entraener la deformation plastique de l'alumine. L'snergie d'activation que l'on mesure pour Le frittage de la poudre d'alumine alpha est comparable 2 celle de la diffusion d'oxygsne dans les joints de grains. Abstract - The mechanism of initial sintering of alumina was explored by electron microscopy and X-ray diffraction. The transformation of gamma to alpha alumina influenced sintering behavior. This transformation appears to involve plastic deformation in the alumina. Sintering of fine alpha alumina powder directly occurs with an activation energy close to that of grain boundary diffusion of oxygen. I - INTRODUCTION The sintering of alumina has been widely studied because it is an important high temperature material and was thought to be relatively simple. However, sintering of alumina is influenced strongly by the size, morphology and structure of the starting powder, and is complicated by transformations of metastable phases to the stable alpha phase. Very fine (=l00 A' diameter) agglomerated gamma alumina powder (Fig. 1) showed a 1ow.activation energy for sintering at 1200~~ to 1400~~ (72 to 82 kj/mol), and sintered more rapidly than alpha powder /l/. The surface area reduction during sintering at 1200 to 1400~~ was examined with the models of German and Munir /2/ and the time exponent was that expected for plastic flow. The model of Young and Cutler 131 when compared with shrinkage results was also consistent with plastic flow. The literature contains conflicting reports /4,5/ as to the relative importance of plastic flow in the sintering of undoped alumina. In this paper the previous results /l/ have been extended through selected area electron diffraction and electron microscopy, to follow the influence of diffusion mechanism and phase transformation on the evolution of sintered microstructure. I1 - EXPERIMENTAL METHODS In the previous study /l/ the sintering of gamma and alpha alumina powders was examined by isothermal and constant heating rate experiments. In the present work these sintered pellets have been investigated by transmission electron microscopy (TEM) and selected area electron diffraction (SAD). For TEM samples the pellets were ground to 20 to 50 micron thickness, held in the sample holder between tantalum plates and ion milled on both surfaces with 6.5KV Ar ions. The milling time varied from 60 to 160 hours depending on the density of the pellets. Denser pellets required longer time. The ion milled foils were carbon coated and examined under bright field condition at an accelerating voltage of lookv and 1000KV. "present address : Brookhaven National Laboratory, Upton, N.Y. 11973, U.S.A. Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1986133

Cl-226 JOURNAL DE PHYSIQUE 111 - EXPERIMENTAL RESULTS Figures 2 to 8 show transmission electron bright field images and associated selected area electron diffraction patterns of pellets sintered for two hours at 69 67 65 63 61 34 57 DIFFRACTION ANGLE (28) Fig. 1 Scanning electron micrograph of gamma alumina green pellet. Fig. 2 (a) TGl? n~icrograph of a rodlet of green gamma alumina observed in figure 1 (h) the associated SAD pattern (IOOKV) (c) X-ray diffraction pattern of gamma alumina powder. Fig.3a Micrograph of sintered pellet Fig. 4 (a) Double diffraction from coexistence at 1200~~ (lookv), (b) FCC SAD of gamma and alpha phase at 1200~~ (100KV) pattern of.3 gamma grain, (b) The quenchable transformation of gamma to (c) polycrystalline deformed alpha phase is shown by X-ray powder pattern diffraction pattern of matrix. of heat treated powders at 1400~~. Fig. 5 Clusters of alpha grains (region A) are in the process of coalescence at 1500~~. and the coalesced grain (region B) is bound by curved grain boundaries. (100KV)

Fig. 6 (a) Grains A and B occur juxtaposed against a normal grain boundary, 1 and 2 are the dislocation images on (110) foil plane. (b) and (c) are SAD patterns of -grains A and B. (100KV) different temperatures. The green state (Fig. 2a) consisted of fine spherical gamma alumina particles that compose the agglomerated rodlets observed in figure 1. The particle size appears to be in the range of 60 to 100 AO. Consistent with the fine particle size are polycrystalline SAD rings (Fig. 2b) and the broad (440) X-ray reflection (Fig. 2c). After sintering at 1200~~ the particles were about 1000 A' in size and formed interconnected chains (Fig. 3a). Their SAD pattern had streaks and deformed spots (Fig. 3c). Where a grain as large as 0.3microns was encountered by the beam a single crystal diffraction pattern characteristic of an FCC (011) lattice of gamma alumina was obtained (Fig. 3b). With appropriate specimen tilting double diffraction spots (Fig. 4a) characterisic of a mixture of gamma and alpha phases were evident. The relationships between these two reflections of (440) and (124) were also studied after sintering at a higher temperature of 1400~~ (Fig. 4b) /l/. A distribution of grain sizes was evident at a higher sintering temperature of 1500~~. Alpha grains 0.3micron in size clustered (region A of Fig. 5) and eventually grew into larger grains (region B of Fig. 5). At a higher magnification a thin section of this sample showed line defects amidst bend contours. The line defects in figure 6a were identified by their immobility with specimen tilting. Thus the images marked 1 and 2 in figure 6a could be distinguished from bend contours, because the scattering factor arising from atomic displacements superimposes on the normal scattering process during specimen tilting. The single crystal SAD patterns are characteristic of (110) and (121) foil orientations (Figs. 6b and 6c) and point to the presence of a normal grain boundary between A and B grains of figure 6a. Fig. 7 (a) Micrographsof the pellet sintered at 1800~~. The 1000~~ diffuse bands are like extended dislocation images, (b) the SAD pattern of the diffuse band in the centre of the foil is made of deformed diffraction spots, (c) upon specimen tilting diffraction streaks originate from the same region, (d) the clear region of the foil reveals a normal SAD pattern of unstrained alpha alumina (100KV).

JOURNAL DE PHYSIQUE Fig. 8 Microstructural mosaic at 1800~~. ( 1000KV) After sintering at 1800~~ diffuse bands were observed within and around the thin foil (Fig. 7a). The diffraction spots appear deformed (Fig. 7b) within the region of the diffuse band and are normal in other regions (Fig.7d). When the specimen was tilted the deformed nature of the diffraction persisted in the form of streaks within the diffuse band (Fig. 7c). In the high voltage electron microscope, at an operating voltage of 1000KV, a larger area of the microstructure was visible (Fig. 8). There were pores at grain boundaries, and some pores were inside grains. The microstructure was predominantly dense. IV - DISCUSSION Defect Features The two dark images marked 1 and 2 on (110) foil plane (Fig. 6a) are like dislocation images cited by Morrissey and Carter 161. The diffuse bands in figure 7a are 1000~~ wide and are composed of two dark lines separated by diffuse regions. The electron diffraction of these images is composed of elongated diffraction spots. Discussions in the literature /7,8/ attribute shape changes of electron diffraction spots to the strain fields associated with dislocations and stacking faults. It is also of interest to note that Kingery et al. 191 have described formation of extended dislocations in alumina by mobility of A1 and 0 ions through partial paths. Considering the width of 1000~~ for the images shown in Fig. 7a it is likely that the two embedded dark lines are partial dislocations separated by unresolved diffuse regions of stacking faults. The dislocation structure observed in this work is unlike the ones shown in deformed single Sapphire crystals /10,11/ and alumina whiskers 1121 where high density of dislocations were reported on the basal plane in the form of curvilinear lines, loops and dipoles. Dislocation images in sintered pure polycrystalline alumina have not been cited in detail, though discussions have favoured their importance in sintering /5,13,14/. Possibly their presence in sintered alumina is related to the mode of particle preparation, size and phase; and mechanism of dislocation motion during sintering and annealing. The low density of dislocations observed in the present work could be due to long anneal time of two hours that the samples were subjected to at the sintering temperatures. The discrepency in the image shape between the present micrograph and those reported by Barber and Tighe /10/. Pletka et al. Ill/, and Kotchick and Tressler 1151 may be related to differences in the crystallographic orientation of the foil plane and motion of dislocations by climb mechanism. In support of the latter is the similarity between the dislocation image of (110) foil (Fig. 6a) and that reported by Morrissey and Carter 161. Significance of Activation Energies The kinetics of surface area reduction, in response to thermal stress induced by isothermal heat treatment of the powder enabled calculation of mechanism characteristic exponent /l/. Its value was 1.07 for gamma alumina, which suggested plastic flow with an activation energy of 82 kj/mol. A similar activation energy of 72 kj/mol was obtained under a near absence of thermal stress (Fig. 9). In this case the thermal driving force for stress induced

motion had been minimized by bringing the sample to 8 ' sintering temperature at a low constant heating rate Heatiw Rate 5~C/min of 5'~lmin. These activation energies resulted from - volume diffusion at lower temperatures of 1000~~ to 1400~~. Following the arguments presented by = 83.6kJ/mol Weertman 116,171 on similarity of activation energy between that for steady state creep and self diffusion, a dislocation climb mechanism was invoked /l/. It is supported in this work by the TEM image of dislocations. Above 1400~~ the activation energy is 250 kjlmol for grain boundary diffusion. When compared to published reports /3,9,18,19,20/ these activation energies for both volume and grain boundary diffusion are significantly low and point to - - rapid sintering kinetics. An immediate cause for this difference was suspected to be related to the ~o~/t"k process of phase transformation and lattice metastability of the fine gamma alumina powder. That this Fig. 9 Integral plot of indeed was the cause became evident from the sintershrinkage vs. temperature. ing of alpha particles that were derived from gamma alumina powder through phase transformation (Fig. 4b). Pellets of these particles compacted under identical conditions (25%th. green density) sintered with an activation energy of 441 kj/mol /l/. This value is characteristic of oxygen grain boundary diffusion by Coble creep mechanism /20/. For these pellets grain boundary diffusion commences at a lower temperature of 1000~~ owing to a larger average size of 200A0 for alpha particles. Microstructural Changes The transmission electron micrograph (Fig.2) coupled with continuous increase in shrinkage rate /l/ prior to phase transformation is in agreement with monodisperse size distribution for gamma alumina powder. However, heterogeneities in the size are introduced in the course of sintering as the pellet evolves to a density of 92%th. at 1800~~ starting from a green value of 25%th. Initially the gamma particles were noted to grow to an average size of.3micron and then transform to a relatively finer.l micron sized metastable alpha particles (Fig. 3). These particles in turn partly grow in accordance with Greskovich and Lay's mechanism 1211 and partly by lattice eoalescence. Evidence for the latter mechanism is shown by the formation of an elongated grain in the microstructure of fig. 8. The abnormal size for this grain has probably resulted from the elimination of grain boundary that might have originally existed across the region marked A in the micrograph (Fig. 8). Another similar elongated grain could be conceived if the grain boundary marked B could be eliminated from the adjacent grains. Lattice coalescence would lead to grain boundary elimination if the adjacent grains were mutually rotated or moved such that the lattice elements of the grain boundary and the original lattice 122,231 became identical. A very low concentration of pores in the entire microstructure (Fig. 8) and an overall interlocked granular mosaic suggest that the pores have been squeezed out by the movement of grains. Thus, although the microstructure appears 99% dense, the density of the pellet is only 92%th. This leads to the belief that immobile pores occur coalesced and clustered in some other parts of the pellet. REFERENCES /l/ Raman, S.V., Doremus, R.H. and German, R.M., in: Sintering and Heterogeneous Catalysis, vol. 16. G.C. Kuczynski, A.E. Miller and G.A. Sargent, eds. Plenum Press, (1984) 253. 121 German, R.M. and Munir, Z.A., J. Am. Ceram. Soc. 2 (1975) 379. 131 Young W.S. and Cutler, U.B., J. Am. Ceram. Soc. 53 (1970) 659. I41 Dynys J.M., Coble, R.L., Coblenz, W.S. and Cannon, R.M., in: Sintering and Heterogeneous Catalysis,'vol. 15, G.C. Kuczynski, ed. Plenum Press, (1981) 391. 151 Morgan, C.S. and Tennery, V.J., in: Sintering and Heterogeqeous Catalysis, vol. 15, G.C. Kuczynski, Ed. Plenum Press, (1981) 206. 161 Morrissey, K.J. and Carter, C.B., in: Character of Grain Boundaries, M.F. Yan, and A.H. Heuer, eds. (1983) 85.

JOURNAL DE PHYSIQUE /7/ Williame, J., Delavignette, P., Gevers, R. and Amelinckz, S., Phys. Stat. Sol. 17 (1966) K173. I81 Carter, C.B., Kohlstedt, D.L. and Sass, S.L., J. Am. Ceram. Soc. 63 (1980) 623. /g/ Kingery, W.D., Bowen, H.K. and Uhlmann, D.R., John Wiley and Sons, (1976) 1032. /10/ Barber, D.J. and Tighe, N.J., Phil Mag. (1966) 531. /l11 Pletka, B.J., Mitchell, T.E. and Heuer, A.H., J. Am. Ceram. Soc. 57 (1974) 388. 1121 Dragsdorf, R.D. and Webb, W.W., J. Appl. Phys. 29 (1958) 817. /13/ Walker, F.R., J. Am. Ceram. Soc. 38 (1955) 187. 1141 Ogbuji, L., Mitchell, T.E. and Heuer, A.H., in: Sintering and Catalysis, vo115, G.C. Kuczynski ed. Plenum Press, (1981) 305. 1151 Kotchick, D.M. and Tressler, R.E., J. Am. Ceram. Soc. 63 (1980) 429. 1161 Weertman, J., J. Appl. Phys. (1955) 1213. 1171 Weertman, J., J. Appl. Phys. 2 (1955) 362.. 1181 Oishi, Y. and Kingery, W.D., J. Chem. Phys. 2 (1960) 480. 1191 Paladino, A.E. and Kingery, W.D., J. Chem. Phys. 37 (1962) 957. 1201 Lessing, P.A. and Gordon, R.J., J. Mat. Sci. 12 (1977) 2291. 1211 Greskovich, C.,and Lay, K.W., J. Am. Ceram. Soc. 55 (1972) 142. 1221 Brandon, D.C., Ralph, B., Ranganathan and Wald. M.S., Acta. Metal. 12 (1964)813. 1231 Bollman, W. Phil. Mag. 16 (1967) 363.