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      First Principles Theory of the hcp-fcc Phase Transition in Cobalt

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          Abstract

          Identifying the forces that drive a phase transition is always challenging. The hcp-fcc phase transition that occurs in cobalt at ~700 K has not yet been fully understood, although early theoretical studies have suggested that magnetism plays a main role in the stabilization of the fcc phase at high temperatures. Here, we perform a first principles study of the free energies of these two phases, which we break into contributions arising from the vibration of the lattice, electronic and magnetic systems and volume expansion. Our analysis of the energy of the phases shows that magnetic effects alone cannot drive the fcc-hcp transition in Co and that the largest contribution to the stabilization of the fcc phase comes from the vibration of the ionic lattice. By including all the contributions to the free energy considered here we obtain a theoretical transition temperature of 825 K.

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          Generalized Gradient Approximation Made Simple.

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            Phonons and related properties of extended systems from density-functional perturbation theory

            This article reviews the current status of lattice-dynamical calculations in crystals, using density-functional perturbation theory, with emphasis on the plane-wave pseudo-potential method. Several specialized topics are treated, including the implementation for metals, the calculation of the response to macroscopic electric fields and their relevance to long wave-length vibrations in polar materials, the response to strain deformations, and higher-order responses. The success of this methodology is demonstrated with a number of applications existing in the literature.
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              Coherent-Potential Model of Substitutional Disordered Alloys

              Paul Soven (1967)
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                Author and article information

                Contributors
                raqli@kth.se
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                19 June 2017
                19 June 2017
                2017
                : 7
                : 3778
                Affiliations
                [1 ]ISNI 0000000121581746, GRID grid.5037.1, Applied Materials Physics, Department of Materials Science and Engineering, , Royal Institute of Technology (KTH), ; Stockholm, SE-10044 Sweden
                [2 ]ISNI 0000000121581746, GRID grid.5037.1, Department of Materials and Nano Physics, School of Information and Communication Technology, , Royal Institute of Technology (KTH), ; Electrum 229, SE-16440 Kista, Sweden
                [3 ]ISNI 0000000121581746, GRID grid.5037.1, Swedish e-Science Research center (SeRC), , Royal Institute of Technology (KTH), ; SE-10044 Stockholm, Sweden
                [4 ]Sandvik Coromant R&D, Stockholm, SE-12680 Sweden
                [5 ]ISNI 0000 0004 1936 9705, GRID grid.8217.c, School of Physics and CRANN, , Trinity College, ; Dublin 2, Ireland
                [6 ]ISNI 0000 0004 1936 9457, GRID grid.8993.b, Department of Physics and Astronomy, Division of Materials Theory, , Uppsala University, ; Box 516, SE-75121 Uppsala, Sweden
                [7 ]Research Institute for Solid State Physics and Optics, Wigner Research Center for Physics, P.O. Box 49, Budapest, H-1525 Hungary
                Author information
                http://orcid.org/0000-0002-6794-6744
                Article
                3877
                10.1038/s41598-017-03877-5
                5476570
                28630476
                ee75e717-e01d-4ec3-b0b4-2f6acc19342e
                © The Author(s) 2017

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 23 January 2017
                : 4 May 2017
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