The relative variational model: A topological view of matter and its properties: Specific heat and enthalpy
- 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)
- Chemistry Engineering Dept., Campinas State Univ., FEQ/ UNICAMP, Av. Albert Einstein, 500, 13083-852, Campinas, Sao Paulo (Brazil)
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 Debye's integral of the heat capacity at constant volume is analytically solved. The experimental data of the specific heat at constant pressure and the enthalpy variations are also analytically depicted by the model in the temperature range of 0 K up to the melting point. The data reductions were applied to the oxides Al{sub 2}O{sub 3} and UO{sub 2}. (authors)
- Research Organization:
- American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
- OSTI ID:
- 22105895
- 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; 14 refs.
- Country of Publication:
- United States
- Language:
- English
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