The Impact of Vibrational Entropy on the Segregation of Cu to Antiphase Boundaries in Fe3Al

Abstract

We performed a quantum mechanical study of segregation of Cu atoms toward antiphase boundaries (APBs) in Fe3Al. The computed concentration of Cu atoms was 3.125 at %. The APBs have been characterized by a shift of the lattice along the ⟨001⟩ crystallographic direction. The APB energy turns out to be lower for Cu atoms located directly at the APB interfaces and we found that it is equal to 84 mJ/m2. Both Cu atoms (as point defects) and APBs (as extended defects) have their specific impact on local magnetic moments of Fe atoms (mostly reduction of the magnitude). Their combined impact was found to be not just a simple sum of the effects of each of the defect types. The Cu atoms are predicted to segregate toward the studied APBs, but the related energy gain is very small and amounts to only 4 meV per Cu atom. We have also performed phonon calculations and found all studied states with different atomic configurations mechanically stable without any soft phonon modes. The band gap in phonon frequencies of Fe3Al is barely affected by Cu substituents but reduced by APBs. The phonon contributions to segregation-related energy changes are significant, ranging from a decrease by 16% at T = 0 K to an increase by 17% at T = 400 K (changes with respect to the segregation-related energy difference between static lattices). Importantly, we have also examined the differences in the phonon entropy and phonon energy induced by the Cu segregation and showed their strongly nonlinear trends.

A critical comparative review of generalized gradient approximation: the ground state of Fe3Al as a test case

“…Finally, let us note that we have already applied the optimum approach found here, i.e. the PW91 parametrization of GGA in combination with the Vosko-Wilk-Nusair correction [73] in our previous studies of properties of Fe 3 Al or similar compounds [74][75][76][77][78][79][80][81][82][83][84][85][86][87]. As the correct ground-state with this choice is guaranteed, we may suppose that the results of these studies are also reliable.…”

A Quantum-Mechanical Study of Antiphase Boundaries in Ferromagnetic B2-Phase Fe2CoAl Alloy

“…We employed ab initio calculations to study properties of both defect-free states and those containing antiphase boundaries (APBs) with (001) crystallographic orientation. APBs are extended defects commonly found in Fe-Al-based compounds [81][82][83][84][85][86] and have also been theoretically studied [87][88][89][90][91][92][93][94][95].…”