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Анотація
The theoretical equation of state for solid methane, developed within the framework of perturbation theory, with the crystal consisting of spherical molecules as zero-order approximation, and octupole – octupole interaction of methane molecules as a perturbation, is proposed. Thermodynamic functions are computed on the sublimation line up to the triple point. The contribution of the octupole – octupole interaction to the thermodynamic properties of solid methane is estimated.
Ключові слова:
Methane Equation of State Sublimation Line Thermal Expansion Coefficient Heat Capacity
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Як цитувати
Yakub, L., & Bodiul, O. (2016). LOW-TEMPERATURE EQUATION OF STATE OF SOLID METHANE. Refrigeration Engineering and Technology, 52(1). https://doi.org/10.21691/ret.v52i1.46
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Розділ
ХОЛОДИЛЬНІ ТА СУПУТНІ ТЕХНОЛОГІЇ
Посилання
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3. Buie, M. et al. Methane map for Pluto based on mutual events. Bull Am Astron Soc 1989;21:985.
4. Ansell, S. et al. Improved performance from the TS2 decoupled moderator. Proc. of ICANS-XVII 2003;VII:660.
5. Kirichek, O., Church, A.J., Thomas, M.G., Cowde-ry, D., Higgins, S.D., Dudman, M.P., Bowden, Z.A. 2012. Adhesion, plasticity and other peculiar properties of solid methane. Cryogenics, 52, 325–330. Doi: http://dx.doi.org/10.1016/j.cryogenics.2012.02.001
6. Prohvatilov, A. I, Galtsov, N. N., Klimenko, N. A., Strezhemechnyiy, M. A. 2008. Struktura tverdyih faz SiH4, Fizika Nizkikh Temperatur, 34(2), 185-196. (in Russian)
7. Zagoruchenko, V. A., Zhuravliov, A. M. 1969. Teplofizicheskie svoystva gazoobraznogo i zhidkogo metana. Moskva, Izd-vo standartov, 236 p. (in Russian)
8. Vasserman, A. A., Rabinovich, V. A. 1968. Teplofizicheskie svoystva zhidkogo vozduha i ego
komponentov. Moskva, Izd-vo standartov, 239 p. (in Russian).
9. Steward, J.W. 1960. Phase transitions and compres-sibility of solid CH4 CD4 O2. J. Phys. Chem. Solids, 12(2), 122 129, doi: http://dx.doi.org/10.1016/0022-3697(60)90029-9
10. Cheng, V.M. Daniels, W, B. Crawford, R.K. 1975. Melting parameters of methane and nitrogen from 0 to 10 kbar. Phys. Rev. B, 11(10), 3972–3975, doi: http://dx.doi.org/10.1103/physrevb.11.3972
11. Crawford, R.K, Daniels, W, B. Cheng, V.M. 1975. Melting and the relation to molecular orientations in the fluid and solid phase of H2 and CH4. Phys. Rev. A, 12(4), 1690–1696, doi: http://dx.doi.org/10.1103/ physreva.12.1690
12. Yakub, L. Theoretical Equation of State for Highly Anharmonic Solids. International Journal of Thermophysics, 35(9-10), 1957-1965, doi: http://dx.doi.org/10.1007/s10765-012-1381-z
13. Yakub, L., Yakub, E. 2012. Absolute Helmholtz free energy of highly anharmonic crystals: Theory vs Monte Carlo. Journ. Chem. Phys., 136, 144508, doi: http://dx.doi.org/10.1063/1.3702437
14. Barroso, M.A., Ferreira, A.L . 2002. Solid–fluid coexistence of the Lennard-Jones system from absolute free energy calculations. Journ. Chem. Phys., 116(16), 7145, doi: http://dx.doi.org/10.1063/1.1464828
15. Van der Hoef M.A. 2000. Free energy of the Lennard-Jones solid. Journ. Chem. Phys., 113(18), 8142, doi: http://dx.doi.org/10.1063/1.1314342
16. Gubbins, K. E., Grey, C.G. 1972. Perturbation theory for the angular correlation function of molecular fluid. Moler. Phys., 23(1), 187-192,
doi: http://dx.doi.org/10.1080/00268977200100171
17. Misra, R.D. 1940. On the stability of crystal lattices.II. Proc. Cambr. Phys. Soc. Vol.39, 173-182, doi: http://dx.doi.org/10.1017/s030500410001714x
18. Yakub, L.N. 2013. Canonical equations of state and thermodynamic properties of solidified inert gas. Refrigeration Engineering and Technology, No.3(143), 30–33. (in Russian).
19. Kesselman, P.M., Kamenetskiy, V.R., Yakub, E.S. Svoystva perenosa realnyih gazov, Vischa shkola, 1976.
20. Ananth, M. B., Gubbins, K. E., Grey C. G. 1974. Perturbation theory for egilibrum properties of molecular fluid. Moler. Phys., 28(4), 1005-1030,
doi: http://dx.doi.org/10.1080/00268977400102331
21. Prohvatilov, A. I., Isakina, A. P. 1983. Parametry reshetki, koeffitsienty teplovogo rasshireniya i plotnost vakansiy v tverdom SN4. Fizika
2. Stofan, E. R. et al. The lakes of Titan. Nature 2007;445:61. Doi: http://dx.doi.org/10.1038/nature 05438
3. Buie, M. et al. Methane map for Pluto based on mutual events. Bull Am Astron Soc 1989;21:985.
4. Ansell, S. et al. Improved performance from the TS2 decoupled moderator. Proc. of ICANS-XVII 2003;VII:660.
5. Kirichek, O., Church, A.J., Thomas, M.G., Cowde-ry, D., Higgins, S.D., Dudman, M.P., Bowden, Z.A. 2012. Adhesion, plasticity and other peculiar properties of solid methane. Cryogenics, 52, 325–330. Doi: http://dx.doi.org/10.1016/j.cryogenics.2012.02.001
6. Prohvatilov, A. I, Galtsov, N. N., Klimenko, N. A., Strezhemechnyiy, M. A. 2008. Struktura tverdyih faz SiH4, Fizika Nizkikh Temperatur, 34(2), 185-196. (in Russian)
7. Zagoruchenko, V. A., Zhuravliov, A. M. 1969. Teplofizicheskie svoystva gazoobraznogo i zhidkogo metana. Moskva, Izd-vo standartov, 236 p. (in Russian)
8. Vasserman, A. A., Rabinovich, V. A. 1968. Teplofizicheskie svoystva zhidkogo vozduha i ego
komponentov. Moskva, Izd-vo standartov, 239 p. (in Russian).
9. Steward, J.W. 1960. Phase transitions and compres-sibility of solid CH4 CD4 O2. J. Phys. Chem. Solids, 12(2), 122 129, doi: http://dx.doi.org/10.1016/0022-3697(60)90029-9
10. Cheng, V.M. Daniels, W, B. Crawford, R.K. 1975. Melting parameters of methane and nitrogen from 0 to 10 kbar. Phys. Rev. B, 11(10), 3972–3975, doi: http://dx.doi.org/10.1103/physrevb.11.3972
11. Crawford, R.K, Daniels, W, B. Cheng, V.M. 1975. Melting and the relation to molecular orientations in the fluid and solid phase of H2 and CH4. Phys. Rev. A, 12(4), 1690–1696, doi: http://dx.doi.org/10.1103/ physreva.12.1690
12. Yakub, L. Theoretical Equation of State for Highly Anharmonic Solids. International Journal of Thermophysics, 35(9-10), 1957-1965, doi: http://dx.doi.org/10.1007/s10765-012-1381-z
13. Yakub, L., Yakub, E. 2012. Absolute Helmholtz free energy of highly anharmonic crystals: Theory vs Monte Carlo. Journ. Chem. Phys., 136, 144508, doi: http://dx.doi.org/10.1063/1.3702437
14. Barroso, M.A., Ferreira, A.L . 2002. Solid–fluid coexistence of the Lennard-Jones system from absolute free energy calculations. Journ. Chem. Phys., 116(16), 7145, doi: http://dx.doi.org/10.1063/1.1464828
15. Van der Hoef M.A. 2000. Free energy of the Lennard-Jones solid. Journ. Chem. Phys., 113(18), 8142, doi: http://dx.doi.org/10.1063/1.1314342
16. Gubbins, K. E., Grey, C.G. 1972. Perturbation theory for the angular correlation function of molecular fluid. Moler. Phys., 23(1), 187-192,
doi: http://dx.doi.org/10.1080/00268977200100171
17. Misra, R.D. 1940. On the stability of crystal lattices.II. Proc. Cambr. Phys. Soc. Vol.39, 173-182, doi: http://dx.doi.org/10.1017/s030500410001714x
18. Yakub, L.N. 2013. Canonical equations of state and thermodynamic properties of solidified inert gas. Refrigeration Engineering and Technology, No.3(143), 30–33. (in Russian).
19. Kesselman, P.M., Kamenetskiy, V.R., Yakub, E.S. Svoystva perenosa realnyih gazov, Vischa shkola, 1976.
20. Ananth, M. B., Gubbins, K. E., Grey C. G. 1974. Perturbation theory for egilibrum properties of molecular fluid. Moler. Phys., 28(4), 1005-1030,
doi: http://dx.doi.org/10.1080/00268977400102331
21. Prohvatilov, A. I., Isakina, A. P. 1983. Parametry reshetki, koeffitsienty teplovogo rasshireniya i plotnost vakansiy v tverdom SN4. Fizika