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Gulec A, Yu X, Taylor M, Perepezko JH, Marks L. Direct observation of incommensurate structure in Mo 3Si. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 2016; 72:660-666. [PMID: 27809205 DOI: 10.1107/s2053273316012286] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2016] [Accepted: 07/29/2016] [Indexed: 11/10/2022]
Abstract
Z-contrast imaging, electron diffraction, atom-probe tomography (APT) and density functional theory calculations were used to study the crystal structure of the Mo3Si phase which was previously reported to have an A15 crystal structure. The results showed that Mo3Si has an incommensurate crystal structure with a non-cubic unit cell. The small off-stoichiometry in composition of the sample which was revealed by APT and atomic resolution Z-contrast imaging suggested that site substitution caused the development of split atomic positions, disorder and vacancies.
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Affiliation(s)
- Ahmet Gulec
- Department of Materials Science and Engineering, Northwestern University, 2220 Campus Drive, Evanston, Illinois 60208, USA
| | - Xiaoxiang Yu
- Department of Materials Science and Engineering, Northwestern University, 2220 Campus Drive, Evanston, Illinois 60208, USA
| | - Matthew Taylor
- Department of Materials Science and Engineering, University of Wisconsin-Madison, 1509 University Avenue, Madison, Wisconsin 53706, USA
| | - John H Perepezko
- Department of Materials Science and Engineering, University of Wisconsin-Madison, 1509 University Avenue, Madison, Wisconsin 53706, USA
| | - Laurence Marks
- Department of Materials Science and Engineering, Northwestern University, 2220 Campus Drive, Evanston, Illinois 60208, USA
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Chanpuriya S, Kim K, Zhang J, Lee S, Arora A, Dorfman KD, Delaney KT, Fredrickson GH, Bates FS. Cornucopia of Nanoscale Ordered Phases in Sphere-Forming Tetrablock Terpolymers. ACS NANO 2016; 10:4961-72. [PMID: 27055118 DOI: 10.1021/acsnano.6b00495] [Citation(s) in RCA: 62] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
We report the phase behavior of a series of poly(styrene)-b-poly(isoprene)-b-poly(styrene)'-b-poly(ethylene oxide) (SIS'O) tetrablock terpolymers. This study was motivated by self-consistent field theory (SCFT) calculations that anticipate a rich array of sphere-forming morphologies with variations in the molecular symmetry parameter τ = NS/(NS + NS'), where N is the block degree of polymerization and the volume fraction of O is less than about 0.22. Eight SIS'O samples, with τ ranging from 0.21 to 0.73, were synthesized and investigated using small-angle X-ray scattering and transmission electron microscopy, yielding evidence of nine different spherical phases: hexagonal, FCC, HCP, BCC, rhombohedral (tentative), liquid-like packing, dodecagonal quasicrystal, and Frank-Kasper σ and A15 phases. At temperatures close to the order-disorder transition, these tetrablocks behave as pseudo-[SIS']-O diblocks and form equilibrium morphologies mediated by facile chain exchange between micelles. Transition from equilibrium to nonequilibrium behavior occurs at a temperature (Terg) several tens of degrees below the order-disorder transition temperature, speculated to be coincident with the loss of ergodicity, as chain exchange is arrested due to increased segregation strength between the core (O) and corona (SIS') blocks. Nonequilibrium ordered structures form when T < Terg; these are interpreted using SCFT calculations to elucidate the free energy landscape driving ordering in the S and I block matrix. These experiments demonstrate a profound dependence on phase stability with variations in τ and temperature, providing insights into the formation of ordered phase symmetry in this class of asymmetric multiblock polymers.
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Affiliation(s)
- Siddharth Chanpuriya
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Kyungtae Kim
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Jingwen Zhang
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Sangwoo Lee
- Department of Chemical and Biological Engineering, Rensselaer Polytechnic Institute , Troy, New York 12180, United States
| | - Akash Arora
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Kevin D Dorfman
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
| | - Kris T Delaney
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
| | - Glenn H Fredrickson
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
| | - Frank S Bates
- Department of Chemical Engineering and Materials Science, University of Minnesota , Minneapolis, Minnesota 55455, United States
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Crystal-Structure Analysis with Moments of the Density-of-States: Application to Intermetallic Topologically Close-Packed Phases. CRYSTALS 2016. [DOI: 10.3390/cryst6020018] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Tréglia G, Legrand B. How Far to Use Tight-Binding Potentials for Bimetallic Surface Modelling? ACTA ACUST UNITED AC 2011. [DOI: 10.1557/proc-491-275] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
ABSTRACTModelling in a realistic way both equilibrium and dynamical processes on bimetallic surfaces requires the availability of interatomic potentials sufficiently simple (i.e. analytical) although derived from the electronic structure. This is possible in the framework of Tight-Binding formalism. We present here a review of the applications of such potentials, together with some reflexions about their limitations.
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Sluiter M, Turchi P, Fontaine DD. Prediction of ordering in binary transition-metal alloys. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0305-4608/17/11/007] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Turchi PE, Reinhard L, Stocks GM. First-principles study of stability and local order in bcc-based Fe-Cr and Fe-V alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:15542-15558. [PMID: 9975919 DOI: 10.1103/physrevb.50.15542] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Nguyen Manh D, Pasturel A, Paxton AT, van Schilfgaarde M. Electronic structure and total-energy calculations for NiTi2-type structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:14801-14808. [PMID: 10008011 DOI: 10.1103/physrevb.48.14801] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dreyssé H, Wille LT. Self-consistent ordering energies and segregation profiles at binary-alloy surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:62-75. [PMID: 10004416 DOI: 10.1103/physrevb.47.62] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Turchi PE, Finel A. Ordering phenomena in A15-based alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:702-722. [PMID: 10003255 DOI: 10.1103/physrevb.46.702] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Sluiter M, Turchi PE. Phase stability in Ti-V and Ti-Cr alloys: A theoretical investigation. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:12251-12266. [PMID: 9997022 DOI: 10.1103/physrevb.43.12251] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Carlsson AE. Relative stability of the Al12W structure in Al-transition-metal compounds. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:12176-12186. [PMID: 9997014 DOI: 10.1103/physrevb.43.12176] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Phillips R, Carlsson AE. Universal stabilizing mechanism for transition-metal polytetrahedrally packed phases. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:3345-3350. [PMID: 9995849 DOI: 10.1103/physrevb.42.3345] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Phillips RB, Carlsson AE. Polytope models for local icosahedral packing: An electronic structure analysis. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:10880-10883. [PMID: 9944546 DOI: 10.1103/physrevb.37.10880] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Turchi P, Sluiter M, de Fontaine D. Prototype fcc-based binary-alloy phase diagrams from tight-binding electronic-structure calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:3161-3174. [PMID: 9943227 DOI: 10.1103/physrevb.36.3161] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Overview No. 54 Segregation and order in binary substitutional transition metal alloys—I. Homogeneous ordered structures in the ground state: General trends. ACTA ACUST UNITED AC 1986. [DOI: 10.1016/0001-6160(86)90133-1] [Citation(s) in RCA: 75] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Kuentzler R, Waterstrat R. Electronic properties and stability of the ordered structures of the VPd, NbPd and TaPd systems. ACTA ACUST UNITED AC 1986. [DOI: 10.1016/0022-5088(86)90658-2] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Bieber A, Gautier F. Multiatom interactions, order and stability in binary transition metal alloys. ACTA ACUST UNITED AC 1984. [DOI: 10.1007/bf01470425] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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