Molecular dynamics simulations of atomic carbon on tungsten surface

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Abstract

By means of molecular dynamics simulations using bond-order potential, we have investigated the behavior of atomic carbon on both bcc tungsten (0 0 1) surface, and amorphous tungsten surface that is formed by a simulated annealing process, at finite temperature (T = 300 K) with incident energy ranging from 0.5 eV to 200 eV. The particle and energy reflection coefficients as well as mean range distribution as a function of incident energy at normal incidence have been calculated and the channeling effect in the energy range above 100 eV has also been discussed. The results are compared with those calculated by Eckstein using binary collision (BC) Code TRIM.SP in the energy range from 55 eV to 200 eV.

Introduction

Tungsten (W) and its alloys have been considered as candidate plasma-facing materials (PFMs) for ITER [1], future DEMO reactors [2], [3] and EAST [4]. As long as both elements, tungsten and carbon, are introduced in the main chamber of a fusion device, mixing with carbon on the tungsten material surface will be unavoidable because carbon based material is easy to be eroded and the carbon atoms will generally migrate to other locations due to long-range plasma transport processes and interact with the tungsten surface [1], [5], [6]. Therefore, it is necessary to understand and predict the tungsten surface properties and performance in the presence of C impurities.

The existing experimental data were completely limited in the energy range of keV for carbon projectiles interacting with tungsten surface [7], [8], [9] and simulations were mainly based on the binary collision approximation and adopted amorphous target materials [7], [10]. In the lower incident energy range, which is more important in a fusion device, experimental data are absent. When the mean free path of ions at low incident energies approaches the average atomic spacing in the target, BC model breaks down and many-body nature has a dramatic effect on the interaction between projectiles and target atoms, requiring molecular dynamics (MD) for accurate simulation. In this work, the particle and energy reflection coefficients as well as mean range distributions of incident atomic carbon on tungsten surface have been calculated using classical MD simulations, and an analytical bond-order potential for modeling non-equilibrium processes in the ternary W–C–H system [11]. Due to the scarcity of experimental results, we will compare our simulation results to Eckstein’s data in Ref. [12] where gives a collection of sputtering, reflection and range values calculated by a Monte Carlo (MC) program TRIM.SP [13] in the energy range from 55 eV to 40,000 eV at normal incidence.

Section snippets

Simulation method

The initial computational cell with the tungsten (0 0 1) plane normal to the incidence direction, had a dimension of 63.31 Å × 63.31 Å × 31.65 Å, consisting of 8000 atoms in 20 conventional bcc unit cells in three Cartesian directions. Periodic boundary conditions were imposed in the x- and y-directions in the cell. To form a surface, non-periodic boundary conditions were applied in the z-direction and the atoms in the lowest three atomic layers were kept fixed at their original positions all times.

Results and discussion

By using MD simulations, the particle reflection coefficient of carbon atoms was calculated for normal incidence on tungsten surface. Fig. 2(a) shows the calculated results in this work. Two types of surfaces were adopted: bcc tungsten (0 0 1) surface and amorphous tungsten surface. In addition, the results calculated by Eckstein [12] are also displayed. A particle reflection of unity means that 100% of particles incident on a surface are reflected. At 10 eV incident energy, the reflection

Conclusions

To study the interaction between low energy atomic carbons with tungsten surface, MD simulations were performed using a bond-order interatomic potential. Two types of surfaces, namely, bcc (0 0 1) and amorphous tungsten surfaces, are irradiated with the atomic carbons in the energy range from 0.5 eV to 200 eV at a fixed incidence angle (α = 0°) and a substrate temperature (T = 300 K). Both particle and energy reflection coefficients increase with increasing the incident energy in the range from 0.5 eV to

Acknowledgements

This work was supported partially by the National Natural Science Foundation of China under Contract Nos. 10675130 and 10728510, the Knowledge Innovation Program of the Chinese Academy of Sciences, and the JSPS-CAS Core-University Program in the field of Plasma and Nuclear Fusion.

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