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Title: Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials

Abstract

Graphical abstract: Three models are derived to explain the nanoparticles size dependence of mean bonding length, melting temperature and lattice thermal expansion applied on Sn, Si and Au. The following figures are shown as an example for Sn nanoparticles indicates hilly applicable models for nanoparticles radius larger than 3 nm. Highlights: ► A model for a size dependent mean bonding length is derived. ► The size dependent melting point of nanoparticles is modified. ► The bulk model for lattice thermal expansion is successfully used on nanoparticles. -- Abstract: A model, based on the ratio number of surface atoms to that of its internal, is derived to calculate the size dependence of lattice volume of nanoscaled materials. The model is applied to Si, Sn and Au nanoparticles. For Si, that the lattice volume is increases from 20 Å{sup 3} for bulk to 57 Å{sup 3} for a 2 nm size nanocrystals. A model, for calculating melting point of nanoscaled materials, is modified by considering the effect of lattice volume. A good approach of calculating size-dependent melting point begins from the bulk state down to about 2 nm diameter nanoparticle. Both values of lattice volume and melting point obtained for nanosized materialsmore » are used to calculate lattice thermal expansion by using a formula applicable for tetrahedral semiconductors. Results for Si, change from 3.7 × 10{sup −6} K{sup −1} for a bulk crystal down to a minimum value of 0.1 × 10{sup −6} K{sup −1} for a 6 nm diameter nanoparticle.« less

Authors:
 [1]
  1. Department of Physics, College of Science, University of Salahaddin-Erbil, Arbil, Kurdistan (Iraq)
Publication Date:
OSTI Identifier:
22215591
Resource Type:
Journal Article
Journal Name:
Materials Research Bulletin
Additional Journal Information:
Journal Volume: 47; Journal Issue: 11; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0025-5408
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 77 NANOSCIENCE AND NANOTECHNOLOGY; CRYSTALS; MELTING POINTS; NANOSTRUCTURES; SEMICONDUCTOR MATERIALS; THERMAL EXPANSION

Citation Formats

Omar, M.S., E-mail: dr_m_s_omar@yahoo.com. Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials. United States: N. p., 2012. Web. doi:10.1016/J.MATERRESBULL.2012.06.067.
Omar, M.S., E-mail: dr_m_s_omar@yahoo.com. Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials. United States. doi:10.1016/J.MATERRESBULL.2012.06.067.
Omar, M.S., E-mail: dr_m_s_omar@yahoo.com. Thu . "Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials". United States. doi:10.1016/J.MATERRESBULL.2012.06.067.
@article{osti_22215591,
title = {Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials},
author = {Omar, M.S., E-mail: dr_m_s_omar@yahoo.com},
abstractNote = {Graphical abstract: Three models are derived to explain the nanoparticles size dependence of mean bonding length, melting temperature and lattice thermal expansion applied on Sn, Si and Au. The following figures are shown as an example for Sn nanoparticles indicates hilly applicable models for nanoparticles radius larger than 3 nm. Highlights: ► A model for a size dependent mean bonding length is derived. ► The size dependent melting point of nanoparticles is modified. ► The bulk model for lattice thermal expansion is successfully used on nanoparticles. -- Abstract: A model, based on the ratio number of surface atoms to that of its internal, is derived to calculate the size dependence of lattice volume of nanoscaled materials. The model is applied to Si, Sn and Au nanoparticles. For Si, that the lattice volume is increases from 20 Å{sup 3} for bulk to 57 Å{sup 3} for a 2 nm size nanocrystals. A model, for calculating melting point of nanoscaled materials, is modified by considering the effect of lattice volume. A good approach of calculating size-dependent melting point begins from the bulk state down to about 2 nm diameter nanoparticle. Both values of lattice volume and melting point obtained for nanosized materials are used to calculate lattice thermal expansion by using a formula applicable for tetrahedral semiconductors. Results for Si, change from 3.7 × 10{sup −6} K{sup −1} for a bulk crystal down to a minimum value of 0.1 × 10{sup −6} K{sup −1} for a 6 nm diameter nanoparticle.},
doi = {10.1016/J.MATERRESBULL.2012.06.067},
journal = {Materials Research Bulletin},
issn = {0025-5408},
number = 11,
volume = 47,
place = {United States},
year = {2012},
month = {11}
}