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      Distinguishing physical mechanisms using GISAXS experiments and linear theory: the importance of high wavenumbers

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          Abstract

          In this work we analyze GISAXS measurements of the structure factor of Si surfaces evolving during 1 keV Ar+ ion bombardment. Using newly-developed methods sensitive to the full range of experimentally-available wavenumbers q, we extract the linear amplification rate R( q) governing surface stability over a range of wavenumbers 4–5 times larger than has previously been obtained. Comparing with theoretical models also retaining full wavenumber-dependence, we find an excellent fit of the experimental data over the full range of irradiation angles and wavenumbers. Moreover, the fitted parameter values represent experimental evaluation of the magnitudes of most physical mechanisms currently believed to be important to the pattern-formation process. In all cases, the extracted values agree well with direct observations or atomistic simulations of the same quantities, suggesting that GISAXS analysis may allow more powerful comparison between experiment and theory than had previously been thought.

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          Most cited references30

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          Theory of Sputtering. I. Sputtering Yield of Amorphous and Polycrystalline Targets

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            Theory of ripple topography induced by ion bombardment

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              Flattening of a Nearly Plane Solid Surface due to Capillarity

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                Author and article information

                Contributors
                snorris@smu.edu
                ludwig@bu.edu
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                17 May 2017
                17 May 2017
                2017
                : 7
                : 2016
                Affiliations
                [1 ]ISNI 0000 0004 1936 7929, GRID grid.263864.d, Department of Mathematics, , Southern Methodist University, ; Dallas Texas, 75275 USA
                [2 ]ISNI 000000041936754X, GRID grid.38142.3c, , Harvard School of Engineering and Applied Sciences, ; Cambridge Massachusetts, 02138 USA
                [3 ]ISNI 0000 0004 1936 7558, GRID grid.189504.1, Department of Physics, , Boston University, ; Boston Massachusetts, 02215 USA
                [4 ]ISNI 0000 0004 1936 7558, GRID grid.189504.1, Division of Materials Science and Engineering, , Boston University, ; Boston Massachusetts, 02215 USA
                Author information
                http://orcid.org/0000-0003-1931-7975
                http://orcid.org/0000-0001-9657-9456
                Article
                1059
                10.1038/s41598-017-01059-x
                5435725
                28515475
                1d68b28f-9800-4725-8e05-05ad54bf6715
                © 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 August 2016
                : 20 March 2017
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