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Empirical Formulae of Electrical and Thermal Conductivities of Elemental Metals at Room Temperature Ranges
Materials Science · Submitted 31 Aug 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim If we adopt that G is the sum of outer electron numbers in electron configuration such as G=1 for Cu(4s^{1}),G=1+2=3 for In(5s^{2}4p^{1}) and G=5 for Nb(3d^{4}4s^{1}), the `absolute values' of sigma and a similar one for the thermal conductivity agree with experiments within ~20% for the majority of metals even including semimetals.
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The abstract, sentence by sentence
We propose empirical formulae of the electrical conductivity sigma and thermal conductivity for elemental metals such as Na, Cu or Fe at room temperature ranges. Assuming the relaxation time is given by the Planck constant divided by pai and further divided by the thermal energy kT for all metals, we propose that sigma is given by the Drude form with the number density of atoms instead of the electron number density, and further divided by a single free integer parameter G. If we adopt that G is the sum of outer electron numbers in electron configuration such as G=1 for Cu(4s^{1}),G=1+2=3 for In(5s^{2}4p^{1}) and G=5 for Nb(3d^{4}4s^{1}), the `absolute values' of sigma and a similar one for the thermal conductivity agree with experiments within ~20% for the majority of metals even including semimetals.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose empirical formulae of the electrical conductivity sigma and thermal conductivity for elemental metals such as Na, Cu or Fe at room temperature ranges. | contribution 1.00 | 0.91 | 0.29 | asserted 0.89 |
| s1 | Assuming the relaxation time is given by the Planck constant divided by pai and further divided by the thermal energy kT for all metals, we propose that sigma is given by the Drude form with the number density of atoms instead of the electron number density, and further divided by a single free integer parameter G. | method 0.69 | 0.80 | 0.17 | asserted 0.74 |
| s2 | If we adopt that G is the sum of outer electron numbers in electron configuration such as G=1 for Cu(4s^{1}),G=1+2=3 for In(5s^{2}4p^{1}) and G=5 for Nb(3d^{4}4s^{1}), the `absolute values' of sigma and a similar one for the thermal conductivity agree with experiments within ~20% for the majority of metals even including semimetals. | result 0.99 | 0.84 | 0.74 | asserted 0.79 |
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Original abstract
We propose empirical formulae of the electrical conductivity sigma and thermal conductivity for elemental metals such as Na, Cu or Fe at room temperature ranges. Assuming the relaxation time is given by the Planck constant divided by pai and further divided by the thermal energy kT for all metals, we propose that sigma is given by the Drude form with the number density of atoms instead of the electron number density, and further divided by a single free integer parameter G. If we adopt that G is the sum of outer electron numbers in electron configuration such as G=1 for Cu(4s^{1}),G=1+2=3 for In(5s^{2}4p^{1}) and G=5 for Nb(3d^{4}4s^{1}), the `absolute values' of sigma and a similar one for the thermal conductivity agree with experiments within ~20% for the majority of metals even including semimetals.
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