The influence of surface boundary conditions on the phonon contribution to the melting temperature of nanoparticles
The phonon thermal contribution to the melting temperature of nano-particles is inspected. Unlike in periodic boundary condition, under a general boundary condition the integration volume of low energy phonon for a nano-particle is more complex. We estimate the size-dependent melting temperature thr...
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Veröffentlicht in: | Physica. B, Condensed matter Condensed matter, 2016-01, Vol.481, p.133-136 |
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creator | Xu, Yuanyuan Kang, Kai Qin, Shaojing |
description | The phonon thermal contribution to the melting temperature of nano-particles is inspected. Unlike in periodic boundary condition, under a general boundary condition the integration volume of low energy phonon for a nano-particle is more complex. We estimate the size-dependent melting temperature through the phase shift of the low energy phonon mode acquired by its scattering on boundary surface. A nano-particle can have either a rising or a decreasing melting temperature due to the boundary condition effect, and we found that an upper melting temperature bound exists for a nano-particle in various environments. Moreover, the melting temperature under a fixed boundary condition sets this upper bound. |
doi_str_mv | 10.1016/j.physb.2015.11.003 |
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B, Condensed matter</title><description>The phonon thermal contribution to the melting temperature of nano-particles is inspected. Unlike in periodic boundary condition, under a general boundary condition the integration volume of low energy phonon for a nano-particle is more complex. We estimate the size-dependent melting temperature through the phase shift of the low energy phonon mode acquired by its scattering on boundary surface. A nano-particle can have either a rising or a decreasing melting temperature due to the boundary condition effect, and we found that an upper melting temperature bound exists for a nano-particle in various environments. Moreover, the melting temperature under a fixed boundary condition sets this upper bound.</description><subject>Boundaries</subject><subject>Boundary conditions</subject><subject>Condensed matter</subject><subject>Low energy</subject><subject>Melting</subject><subject>Melting temperature</subject><subject>Nano-particle</subject><subject>Nanoparticles</subject><subject>Nanostructure</subject><subject>Phonons</subject><subject>Surface boundary condition</subject><subject>Upper bound</subject><issn>0921-4526</issn><issn>1873-2135</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kD9PwzAQxS0EEqXwCVgysiT44iROBgZU8U-qxFJmy3Eu1FViB9tB4tvjtMzccnd67510P0JugWZAobo_ZNP-x7dZTqHMADJK2RlZQc1ZmgMrz8mKNjmkRZlXl-TK-wONBRxWxO_2mGjTDzMahYntEz-7XsaxtbPppPtJlDWdDtoan1iThOif9tbEMQrB6XZetCTYozTiELT5TAKOEzoZZnc8aqSxk3RBqwH9Nbno5eDx5q-vycfz027zmm7fX942j9tUMVaFlKmi6et2WWRRoSzrpi66TjU9Z0XZcslzruq-QVXQnCrF2xZyuSQa1pS8YGtyd7o7Ofs1ow9i1F7hMEiDdvYCaloDLeqmilZ2sipnvXfYi8npMX4vgIoFsTiII2KxIBYAIiKOqYdTCuMX3xqd8EovHDvtUAXRWf1v_hfmPYjm</recordid><startdate>20160115</startdate><enddate>20160115</enddate><creator>Xu, Yuanyuan</creator><creator>Kang, Kai</creator><creator>Qin, Shaojing</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20160115</creationdate><title>The influence of surface boundary conditions on the phonon contribution to the melting temperature of nanoparticles</title><author>Xu, Yuanyuan ; Kang, Kai ; Qin, Shaojing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c336t-3c49f8bc336a46ea58984ddc9f7345b7a727c8f9ec4020cc7bb12af8bc9395743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Boundaries</topic><topic>Boundary conditions</topic><topic>Condensed matter</topic><topic>Low energy</topic><topic>Melting</topic><topic>Melting temperature</topic><topic>Nano-particle</topic><topic>Nanoparticles</topic><topic>Nanostructure</topic><topic>Phonons</topic><topic>Surface boundary condition</topic><topic>Upper bound</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xu, Yuanyuan</creatorcontrib><creatorcontrib>Kang, Kai</creatorcontrib><creatorcontrib>Qin, Shaojing</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physica. 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We estimate the size-dependent melting temperature through the phase shift of the low energy phonon mode acquired by its scattering on boundary surface. A nano-particle can have either a rising or a decreasing melting temperature due to the boundary condition effect, and we found that an upper melting temperature bound exists for a nano-particle in various environments. Moreover, the melting temperature under a fixed boundary condition sets this upper bound.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.physb.2015.11.003</doi><tpages>4</tpages></addata></record> |
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subjects | Boundaries Boundary conditions Condensed matter Low energy Melting Melting temperature Nano-particle Nanoparticles Nanostructure Phonons Surface boundary condition Upper bound |
title | The influence of surface boundary conditions on the phonon contribution to the melting temperature of nanoparticles |
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