Distribution of grain boundaries in magnesia as a function of five macroscopic parameters

Abstract A semi-automated method has been used to measure all five macroscopically observable parameters of 4.1×10 6 boundary plane segments making up 5.4 mm 2 of boundary area in a hot-pressed magnesia polycrystal. The observations allow a complete description of the distribution of crystal orientations, grain boundary misorientations, and the crystallographic orientations of grain boundary planes. Among the low misorientation angle grain boundaries, there is a preference for tilt boundaries, especially those with boundary plane normals in the direction. At all fixed misorientations, there is a preference for boundaries with a boundary plane normal in the direction. These boundaries are generally asymmetric and occur at least twice as frequently as the average boundary for each fixed misorientation.

[1]  B. Stöckhert,et al.  Grain boundary energies in olivine derived from natural microstructures , 2001 .

[2]  C. Esling,et al.  Determination of a Mean Orientation from a Cloud of Orientations. Application to Electron Back-Scattering Pattern Measurements , 1996 .

[3]  Adam Morawiec,et al.  Automatic orientation determination from Kikuchi patterns , 1999 .

[4]  D. Wolf,et al.  Correlation between structure, energy, and ideal cleavage fracture for symmetrical grain boundaries in fcc metals , 1990 .

[5]  Adam Morawiec.  A note on mean orientation , 1998 .

[6]  D. Saylor,et al.  Distribution and Energies of Grain Boundaries in Magnesia as a Function of Five Degrees of Freedom , 2004 .

[7]  J. Pośpiech,et al.  The Misorientation Distribution Function , 1986 .

[8]  H. Bunge.  Texture Analysis in Materials Science , 1982 .

[9]  A. Rollett,et al.  Crystallographic Distribution of Internal Interfaces in Spinel Polycrystals , 2004 .

[10]  K. Kunze,et al.  Orientation imaging: The emergence of a new microscopy , 1993 .

[11]  Frederick Williams,et al.  Reasoning with statistics , 1979 .

[12]  D. Saylor,et al.  Misorientation Dependence of the Grain Boundary Energy in Magnesia , 2000 .

[13]  D. Saylor,et al.  Experimental Method for Determining Surface Energy Anisotropy and Its Application to Magnesia , 2004 .

[14]  C. Goux.  Structure des joints de grains: considérations cristallographiques et méthodes de calcul des structures , 1974 .

[15]  Chang Soo Kim,et al.  Five-Parameter Grain Boundary Character Distribution in Fe-1%Si , 2004 .

[16]  T. Tan,et al.  Low energy planes for tilt grain boundaries in gold , 1978 .

[17]  D. Saylor,et al.  The relative free energies of grain boundaries in magnesia as a function of five macroscopic parameters , 2003 .

[18]  W. Bollmann,et al.  The symmetry and interfacial structure of bicrystals , 1979, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[19]  Peter W Voorhees,et al.  Three-dimensional characterization of dendritic microstructures , 2001 .

[20]  J. Pośpiech,et al.  Orientation and misorientation characteristics of annealed, rolled and recrystallized copper , 1996 .

[21]  G. Hasson,et al.  Interfacial energies of tilt boundaries in aluminium. Experimental and theoretical determination , 1971 .

[22]  D. Seidman,et al.  Distribution of Grain Boundaries in an Fe(Si) Alloy , 2000 .

[23]  J. F. Mansergh,et al.  Physique , 1903, The Indian medical gazette.

[24]  D. Saylor,et al.  Distribution of Grain Boundaries in SrTiO3 as a Function of Five Macroscopic Parameters , 2004 .

[25]  D. Juul Jensen,et al.  Three-dimensional maps of grain boundaries and the stress state of individual grains in polycrystals and powders , 2001 .

[26]  David Casasent,et al.  Geometric correction of SEM images , 2000, SPIE Defense + Commercial Sensing.

[27]  A. Rollett,et al.  Habits of Grains in Dense Polycrystalline Solids , 2004 .

[28]  R. S. Nelson,et al.  The thermal equilibrium shape and size of holes in solids , 1965 .

[29]  H. Davies,et al.  A comparison between three-dimensional and two-dimensional grain boundary plane analysis. , 2002, Ultramicroscopy.

[30]  Daan Lenstra,et al.  Proceedings in SPIE , 2000 .

[31]  良二 上田.  J. Appl. Cryst.の発刊に際して , 1970 .

[32]  R. Larsen,et al.  Extracting twins from orientation imaging microscopy scan data , 2002, Journal of microscopy.

[33]  S. Phillpot,et al.  Role of the densest lattice planes in the stability of crystalline interfaces: A computer simulation study☆ , 1988 .