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| Formato: | Artículo científico |
| Lenguaje: | en |
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Academia Brasileira de Ciências
2000
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| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=32772409 |
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| author | Fernando l. Carneiro Lobo B. |
| author_facet | Fernando l. Carneiro Lobo B. |
| contents | On the use, by Einstein, of the Principle of Dimensional Homogeneity, in three problems of the Physics of Solids Fernando l. Carneiro Lobo B. Multidisciplinaria (Ciencias Naturales y Exactas) thermal conductivity dimensional homogeneity characteristic frequency of solids Einstein, in 1911, published an article on the application of the principle of dimensional homogeneityto three problems of the physics of solids: the characteristic frequency of the atomic netsof crystalline solids as a function of their moduli of compressibility or of their melting points,and the thermal conductivity of crystalline insulators. Recognizing that the physical dimensionsof temperature are not the same as those of energy and heat, Einstein had recourse to the artificeof replace that physical parameter by its product by the Boltzmann constant, so obtaining correctresults. But nowadays, with the new basic quantities Thermodynamic Temperature θ (unit-Kelvin), Electric Current I (unit Ampère) and Amount of Substance MOL (unit-mole), incorporatedto the SI International System of Units, in 1960 and 1971, the same results are obtained ina more direct and coherent way. At the time of Einsteins article only three basic physical quantitieswere considered length L, mass M, and time T. He ignored the theorem of dimensionalanalysis diffused by Buckingham three years later, and obtained the numbers by trial anderror. In the present paper is presented a revisitation of the article of Einstein, conducted by themodern methodology of dimensional analysis and theory of physical similitude. 2000 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32772409 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.72 |
| format | Artículo científico |
| id | redalyc_32772409 |
| language | en |
| publishDate | 2000 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | On the use, by Einstein, of the Principle of Dimensional Homogeneity, in three problems of the Physics of Solids Fernando l. Carneiro Lobo B. Multidisciplinaria (Ciencias Naturales y Exactas) thermal conductivity dimensional homogeneity characteristic frequency of solids On the use, by Einstein, of the Principle of Dimensional Homogeneity, in three problems of the Physics of Solids Fernando l. Carneiro Lobo B. Multidisciplinaria (Ciencias Naturales y Exactas) thermal conductivity dimensional homogeneity characteristic frequency of solids Einstein, in 1911, published an article on the application of the principle of dimensional homogeneityto three problems of the physics of solids: the characteristic frequency of the atomic netsof crystalline solids as a function of their moduli of compressibility or of their melting points,and the thermal conductivity of crystalline insulators. Recognizing that the physical dimensionsof temperature are not the same as those of energy and heat, Einstein had recourse to the artificeof replace that physical parameter by its product by the Boltzmann constant, so obtaining correctresults. But nowadays, with the new basic quantities Thermodynamic Temperature θ (unit-Kelvin), Electric Current I (unit Ampère) and Amount of Substance MOL (unit-mole), incorporatedto the SI International System of Units, in 1960 and 1971, the same results are obtained ina more direct and coherent way. At the time of Einsteins article only three basic physical quantitieswere considered length L, mass M, and time T. He ignored the theorem of dimensionalanalysis diffused by Buckingham three years later, and obtained the numbers by trial anderror. In the present paper is presented a revisitation of the article of Einstein, conducted by themodern methodology of dimensional analysis and theory of physical similitude. 2000 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32772409 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.72 |
| title | On the use, by Einstein, of the Principle of Dimensional Homogeneity, in three problems of the Physics of Solids |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) thermal conductivity dimensional homogeneity characteristic frequency of solids |
| url | https://www.redalyc.org/articulo.oa?id=32772409 |