Relaxation volumes of microscopic and mesoscopic irradiation-induced defects in tungsten
Abstract
The low energy structures of irradiation-induced defects in materials have been extensively studied over
several decades, as these determine the available modes by which a defect can diffuse or relax, and how the
microstructure of an irradiated material evolves as a function of temperature and time. Consequently many
studies concern the relative energies of possible defect structures, and empirical potentials are commonly
fitted to, or evaluated with respect to these. But recently [Dudarev et al. Nuclear Fusion 2018], we have
shown that other parameters of defects not directly related to defect energies, namely their elastic dipole
tensors and relaxation volumes, determine the stresses, strains and swelling of reactor components under
irradiation. These elastic properties of defects have received comparatively little attention. In this study
we compute relaxation volumes of irradiation-induced defects in tungsten using empirical potentials, and
compare to density functional theory results. Different empirical potentials give different results, but some
clear potential-independent trends can be identifed. We show that the relaxation volume of a small defect
cluster can be predicted to within 10% from its point-defect count. For larger defect clusters we provide
empirical fits as a function of defect cluster size. We demonstrate that the relaxation volume associated with
a single primary-damage cascade can be estimated from the primary knock-on atom energy. We conclude
that while annihilation of defects invariably reduces the total relaxation volume of the cascade debris, there
is still no conclusive verdict about whether coalescence of defects reduces or increases the total relaxation volume.
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