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An equation of state for alkali metals
Institution:1. V. Lashkaryov Institute of Semiconductor Physics, NAS of Ukraine, 41, Prospekt Nauky, 03028 Kyiv, Ukraine;2. Nanomedtech LLC, 68, Gorky Street, 03680 Kyiv, Ukraine;3. School of Engineering and Applied Science, Aston University, Aston Triangle, Birmingham, B4 7ET, UK;4. Institute of Innovative Science and Technology, Tokai University, Hiratsuka, Kanagawa 259-1292, Japan;1. Department of Physics, University of Calcutta, 92 A P C Road, Kolkata 700 009, India;2. Department of Physics, Raiganj University, Uttar Dinajpur 733 134, India;3. Physical Metallurgy Group, Indira Gandhi Centre for Atomic Research, Kalpakkam 603 102 India;4. Center for Research in Nanoscience and Nanotechnology, University of Calcutta, JD-2, Sector-III, Saltlake City, Kolkata 700 098, India;1. Instituto de Física, Universidade de São Paulo, Rua do Matão, Travessa R, 187, São Paulo, CEP 05508-090 SP, Brazil;2. Departamento de Ciências do Mar, Universidade Federal de São Paulo, Santos, SP, Brazil;1. Faculty of Physics, M.V. Lomonosov Moscow State University, 119991 Moscow, Russia;2. Advanced Magnetic Technologies and Consulting LLC, 142190 Troitsk, Russia;1. Department of Electrical and Electronics Engineering, Atilim University, 06836 Ankara, Turkey;2. Department of Physics, Middle East Technical University, 06800 Ankara, Turkey;3. Virtual International Scientific Research Centre, Baku State University, 1148 Baku, Azerbaijan;3. Institute of Physics, Opole University of Technology, 75, Ozimska str., 45370 Opole, Poland;4. Vlokh Institute of Physical Optics, 23, Dragomanov str., 79005 Lviv, Ukraine;5. Institute of Physics, Jan Dlugosz University, 13/15, Armii Krajowej al., 42200 Czestochowa, Poland
Abstract:Semi-empirical equations of state based on Lindemann's law have been developed to determine the pressure (P) dependence of the melting temperature (Tm) of Li, K, Rb and Cs. The basic inputs are Grüneisen parameter and the bulk modulus. TmP variations exhibit maximum melting temperature with concave downwards. The maximum in Tm for Cs is found to occur at pressure of 2.2 GPa whereas for Li, K and Rb it falls in the range of 7–9.5 GPa. The predicted values of Tm as a function of pressure, based on the present empirical relation, fit quite well with the available experimental data. The empirical relation can also be used to extrapolate Tm at higher pressure from the values available at lower pressures.
Keywords:Equation-of-state  Thermodynamic properties  Alkali metals
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