A two-dimensional Monte Carlo model for pore densification in a bi-crystal via grain boundary diffusion: Effect of diffusion rate, initial pore distance, temperature, boundary energy and number of pores

2020 ◽  
Vol 40 (8) ◽  
pp. 3158-3171
Author(s):  
Youngkyun Son ◽  
Hyesoo Belinda Chung ◽  
Sukbin Lee
Keyword(s):  
Monte Carlo ◽  
Grain Boundary ◽  
Boundary Diffusion ◽  
Diffusion Rate ◽  
Boundary Energy ◽  
Monte Carlo Model ◽  
Grain Boundary Diffusion ◽  
Two Dimensional ◽  
Diffusion Effect ◽  
Temperature Boundary

The role of solute segregation in grain boundary diffusion

1982 ◽  
Vol 379 (1776) ◽  
pp. 159-178 ◽  
Keyword(s):  
Grain Boundary ◽  
Boundary Diffusion ◽  
Boundary Energy ◽  
Grain Boundary Diffusion ◽  
Enrichment Ratio ◽  
Tin Alloys ◽  
Bulk Diffusivity ◽  
Tin Content ◽  
Grain Boundary Transport

In measurements of grain boundary transport it is the product of the grain boundary enrichment ratio and the grain boundary diffusivity that is usually obtained. This work presents the first study in which these two terms are separated and in which the role of the grain boundary composi­tion in grain boundary diffusion is analysed in detail. This leads to the general prediction that the grain boundary diffusion of solute and solvent will be reduced by strongly segregating solutes if they do not simultaneously enhance the bulk diffusivities. The converse occurs if the solute weakly segregates but strongly enhances the bulk diffusivities. The diffusion measurements are made in iron–tin alloys in the tempera­ture range 563–750 °C by using radiotracers, and the segregation measure­ments, similarly, by Auger electron spectroscopy. The measured bulk diffusivities are similar to those found previously. The grain boundary diffusivities, determined via Suzuoka’s (1964) analysis, for iron and tin in pure iron have pre-exponential coefficients of 225 x 10 -4 and 9.2 x 10 -4 m 2 s -1 and activation energies of 165770 and 166600 J mol -1 respectively. Contrary to the increase in the bulk diffusivity produced by the ‘fast’ diffuser, tin, both grain boundary diffusivities are sharply reduced as the tin content rises. These and earlier results are interpreted through the effect of tin segregation on the grain boundary energy described by the theory of Borisov et al . (1964).

Phosphorus Diffusion in Polycrystalline Silicon: Monte Carlo Simulation of Experimental Diffusion Profiles

1987 ◽  
Vol 106 ◽  
Author(s):  
J. P. Lavine ◽  
S.-T. Lee ◽  
D. L. Black ◽  
D. L. Losee ◽  
C. M. Jarman
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Grain Boundary ◽  
Boundary Diffusion ◽  
Secondary Ion Mass Spectrometry ◽  
Chemical Vapor ◽  
Grain Boundary Diffusion ◽  
Monte Carlo Simulation Technique ◽  
Transmission Electron ◽  
Pressure Chemical

ABSTRACTPhosphorus ions were implanted into silicon layers deposited by low pressure chemical vapor deposition onto thermally oxidized silicon substrates. Thermal anneals diffused the phosphorus and the resulting depth profiles were determined by secondary-ion mass spectrometry (SIMS). Transmission electron microscopy shows that the polysilicon layers have a multi-layer pattern of grains. The phosphorus profiles are fit by a Monte Carlo simulation technique that includes both grain and grain-boundary diffusion. The grain-boundary diffusion coefficient is found to be thermally activated with an activation energy of 3.3 eV.

Sintering of regular two-dimensional arrays of particles surface and grain boundary diffusion

1994 ◽  
Vol 70 (6) ◽  
pp. 1107-1118 ◽  
Author(s):  
Wen Zhang ◽  
Joachim H. Schneibel ◽  
Chun-Hway Hsueh
Keyword(s):  
Grain Boundary ◽  
Boundary Diffusion ◽  
Grain Boundary Diffusion ◽  
Two Dimensional

scholarly journals The Harrison Diffusion Kinetics Regimes in Grain Boundary Diffusion: Lattice Monte Carlo Modelling of the Effect of Segregation

2011 ◽  
Vol 309-310 ◽  
pp. 9-18 ◽  
Author(s):  
Irina V. Belova ◽  
Graeme E. Murch ◽  
Thomas Fiedler
Keyword(s):  
Monte Carlo ◽  
Grain Boundary ◽  
Boundary Diffusion ◽  
Diffusion Problem ◽  
Grain Boundary Diffusion ◽  
Lattice Monte Carlo ◽  
Fine Grain ◽  
Segregation Effect ◽  
Transition Points ◽  
Strong Segregation

The location of the transition points for the three main Harrison’s kinetics regimes (Type-A, B and C) for the measurement of grain boundary diffusivities from tracer concentration depth profiles (self-diffusion) has been extensively studied in (Divinski et al. Zeit. Metallk, 2002, Belova and Murch, Phil. Mag, 2001, 2009; Defect and Diffusion Forum, 2006, 2008, 2009) by making use of the phenomenological Lattice Monte Carlo numerical method. Those locations are mainly dependent on the dimensionality of the problem. For the case of impurity grain boundary diffusion, the segregation effect is very important. In the present study, the influence of segregation on the transition points is investigated for the parallel slab model (2-dimensional) of the grain boundary diffusion problem by making use of the tracer-type solution to the equivalent diffusion problem. It is shown that the Type-B regime is most likely not realized for the cases of fine-grain material with a strong segregation effect present.

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