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Among available predictive computational modeling techniques, the DFT method [249] is probably
the most desirable technique to tackle multicomponent alloy systems, such as HEAs. The DFT calculations
only require the atomic number and crystal structure as the input and yield electronic and
cohesive properties of solids. The core concept of the electronic DFT provides an exact transformation
of the electronic many-body problem into a set of many coupled single-electron problems, where each
electron interacts with an effective potential related to the total charge density. An unlimited number
of alloys can be ¡®¡®virtually¡¯¡¯ processed by computers, and only promising compositions that pass the
screening criteria are chosen and passed onto experiments for verification.
However, the challenge in dealing with disordered solid solution in DFT becomes intimidating
when the system contains five or more components. Using the brute force approach to assemble tremendous
amounts of atomic configurations due to random solid-solutions is not possible. To model
disordered solid solutions using DFT methods, two popular techniques have been used. One is the
special quasi-random structure (SQS) method [251,252]. Previously, SQS structures have been only
applied to binary [253¨C255] and ternary alloys [256¨C258]. The SQS approach is to identify specially-
designed small-unit-cell periodic structures that closely mimic the most relevant near-neighbor
pair and multisite-correlation functions of random substitutional alloys. Therefore, developing SQS for
4-, 5-, and 6-component systems is necessary for HEAs. To the authors¡¯ knowledge, Niu et al. have
developed SQS FCC and HCP structures for quaternary alloys [247]. The other is the Korringa-
Kohn-Rostocker-coherent potential approximation (KKR-CPA) [259,260] method, and it has been
widely used to study the electronic structure, thermodynamic and elastic properties of disordered
solids [261¨C268] but mainly limited to binary alloys, although a recent study [269] extends it to
ternary alloys. Recently, Wang and Gao have applied the KKR-CPA method to study the cohesive, electronic
and elastic properties of AlxCoCrCuFeNi alloys [270].
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Microstructures and properties of high-entropy alloys £¨Progress in Materials Science 61 (2014) 1¨C93£©
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