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Title: The relative variational model: A topological view of matter and its properties: Thermal expansion

Abstract

Formal definitions of convergence, connected-ness and continuity were established to characterize and describe the crystalline solid and its properties as a unified notion in the topological space. The crystalline solid is a previously empty space that has been filled with atoms and phonons, i.e., the crystal is built with packages of matter and energy in a regular and orderly repetitive pattern along three orthogonal dimensions of the space. The spatial occupation of the atom in the crystal structure is determined by its mean vibrational volume. Thus, the changes of volume and the changes of internal energy are intrinsically linked. In fact, physical and material properties are the interdependent and bijective quantifications associated with variations of the internal energy. These properties are modeled by means of an intrinsic and invariable form function: the Relative Variational Model. In this paper, the experimental data of the thermal expansion for the oxides Al{sub 2}O{sub 3} and UO{sub 2} were analytically depicted by means of this model in the temperature range of 0 K up to the melting point. (authors)

Authors:
; ;  [1];  [2]
  1. Center for Development of the Nuclear Technology - CDTN, National Commission for the Nuclear Energy - CNEN, PO Box: 941, 30.161-970, Belo Horizonte, Minas Gerais (Brazil)
  2. Chemistry Engineering Dept., Campinas State Univ., FEQ/ UNICAMP, Av. Albert Einstein, 500, 13083-852, Campinas, Sao Paulo (Brazil)
Publication Date:
Research Org.:
American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
OSTI Identifier:
22105906
Resource Type:
Conference
Resource Relation:
Conference: PHYSOR 2012: Conference on Advances in Reactor Physics - Linking Research, Industry, and Education, Knoxville, TN (United States), 15-20 Apr 2012; Other Information: Country of input: France; 8 refs.
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; ALUMINIUM OXIDES; ATOMS; CRYSTAL STRUCTURE; MELTING POINTS; PHONONS; TEMPERATURE RANGE; THERMAL EXPANSION; TOPOLOGY; URANIUM DIOXIDE; VARIATIONAL METHODS

Citation Formats

Dias, M. S., De Vasconcelos, V., Mattos, J. R. L., and Jordao, E. The relative variational model: A topological view of matter and its properties: Thermal expansion. United States: N. p., 2012. Web.
Dias, M. S., De Vasconcelos, V., Mattos, J. R. L., & Jordao, E. The relative variational model: A topological view of matter and its properties: Thermal expansion. United States.
Dias, M. S., De Vasconcelos, V., Mattos, J. R. L., and Jordao, E. Sun . "The relative variational model: A topological view of matter and its properties: Thermal expansion". United States.
@article{osti_22105906,
title = {The relative variational model: A topological view of matter and its properties: Thermal expansion},
author = {Dias, M. S. and De Vasconcelos, V. and Mattos, J. R. L. and Jordao, E.},
abstractNote = {Formal definitions of convergence, connected-ness and continuity were established to characterize and describe the crystalline solid and its properties as a unified notion in the topological space. The crystalline solid is a previously empty space that has been filled with atoms and phonons, i.e., the crystal is built with packages of matter and energy in a regular and orderly repetitive pattern along three orthogonal dimensions of the space. The spatial occupation of the atom in the crystal structure is determined by its mean vibrational volume. Thus, the changes of volume and the changes of internal energy are intrinsically linked. In fact, physical and material properties are the interdependent and bijective quantifications associated with variations of the internal energy. These properties are modeled by means of an intrinsic and invariable form function: the Relative Variational Model. In this paper, the experimental data of the thermal expansion for the oxides Al{sub 2}O{sub 3} and UO{sub 2} were analytically depicted by means of this model in the temperature range of 0 K up to the melting point. (authors)},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {7}
}

Conference:
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