INTERACTION PARAMETERS FOR MONTE CARLO
SIMULATION OF THE GRAPHITE/Fe-C MELT INTERFACE:
A PHASE TRANSITION STUDY
Rita Khanna and Veena Sahajwalla
School of Materials Science and Engineering, The University of New South Wales, Sydney, NSW
2052, Australia
(Received April 21, 1998)
(Accepted December 16, 1998)
Introduction
The dissolution of carbonaceous materials such as graphite, coal, char etc. in molten iron is one of the
key steps in a number of iron and steel making processes and has been the subject of a large number
of investigations (1– 4). While most of these studies, both experimental and theoretical, have provided
information about the reaction kinetics and the factors affecting the carbon dissolution rate, the atomic
level understanding of the processes occurring at the melt/carbon interface is still far from complete.
Long-range order, interfacial orientation, various binding energies, temperature etc. are some of the
important parameters which are expected to affect the interfacial phenomena.
In a recent study, Wu and Sahajwalla (5) have looked at the wetting of solid graphite by Fe-C melts
under controlled conditions using sessile drop method. The contact between graphite and melt resulted
in non-equilibrium reactive wetting and involved transfer of carbon from the solid to the liquid and iron
transfer from the melt to the solid. In an earlier paper (6), we developed a theoretical model of the
graphite/Fe-C melt interface and carried out a Monte Carlo simulation of the interfacial region. The
atoms in graphite and Fe-C melt were arranged on a rigid hexagonal lattice (space group: P6
3
/mmc).
Pair-wise short-range interaction was assumed between the atoms. While the interactions were aniso-
tropic in graphite, they were chosen to be isotropic in the liquid phase. Simulations were carried out as
a function of temperature, carbon content of the melt and orientation of the interface. Preliminary results
of these simulations showed a good qualitative agreement with key experimental trends.
Before attempting a quantitative comparison with experimental data, we need to look closely at some
of the assumptions used in this simulation. The main assumption of the model is regarding the structure
of the liquid phase. While considering the structure of a liquid phase without having access to direct
experimental information, one looks at the structures of the crystalline phases in the same alloy system.
There have been a few studies of the Fe-C liquid phase where the atoms were assumed to occupy rigid
lattice sites. In the interstitial model (7), carbon atoms occupy the octahedral interstitial sites with Fe
atoms arranged on a regular fcc lattice. Two-sublattice models using defects and associated solution
model postulating molecular-like aggregates have also been used with varying degrees of success (8,9).
While considering the graphite/Fe-C melt interface, we had assumed that the atoms in the melt were
arranged on a hexagonal lattice. A cubic structure of the melt would cause unnecessary complications
of boundary mismatch across the interface. Can this model accurately describe the properties of the
Pergamon
Scripta Materialia, Vol. 40, No. 11, pp. 1289 –1294, 1999
Elsevier Science Ltd
Copyright © 1999 Acta Metallurgica Inc.
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