Melting Temperature of Metals Based on the Nearly Free Electron Model

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概要

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• We propose a general formula for the melting temperature of metals in terms of electronic mass, electronic number, and nearest-neighbor lattice distance. We derive it from the instability of the transverse phonon in the solid phase, using the nearly free electron model. Including higher order terms of vibrations enhanced near the melting temperature, the electronic restoring force is reduced and the ionic one is negligible. This fact greatly brings down the melting temperature, bringing it close to experimental data in the range of 10% for Cs, Cu, Au, and Ba. Also, this theory confirms the Lindemann criterion.

• Physical Society of Japanの論文
• 2010-05-15

著者

• Suzuki Hidenori

  Toyota Technological Institute

• Matsuura Tamifusa

  Toyota Technological Institute, Nagoya 468-8511, Japan

• Honda Fumihiro

  Toyota Technological Institute, Nagoya 468-8511, Japan

• Takano Ken'ichi

  Toyota Technological Institute, Nagoya 468-8511, Japan

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• Quantum Phase Transitions in Alternating-Bond Mixed Diamond Chains with Spins 1 and 1/2
• Melting Temperature of Metals Based on the Nearly Free Electron Model
• Finite Temperature Properties of Mixed Diamond Chain with Spins 1 and 1/2

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