Study of Thermodynamic Properties of Monoclinic Sulfur (Sβ) Under High Pressure Using Three Different Equations of State for the Treatment Scabies in Dermatology
Year 2022,
, 33 - 38, 01.06.2022
Abdullah M. Ali
Raed Alsaqa
,
Nashwa Salhuddin Sultan
Abstract
Thermodynamic properties of monoclinic β-sulfur Sβ under high pressure up to 20 Gpa have been studied, where Orthorhombic α-sulfur Sα changes to Sβ at 94.4℃. The high pressure technology used to tackle the crystallization volume of sulfur Sβ without changes in the chemical properties. Sulfur Sβ can be used after the effect of high pressure in the development of the medicine used to treat scabies. The present study is performed to calculate the effects of high pressure on some important physical properties of the material such as (bulk modulus (B), compression volume ratio (VP/Vo), Grüneisen parameter ), Debye temperature (θD) and phonon frequency spectrum (pfs). Three different equations of state EOS's (Birch- Murnaghan EOS, Vinet EOS and modified Lennard-Jones EOS) were implemented to analyze pressure-volume relationship and then combining calculated data with various expressions of volume dependence of the other thermodynamic properties that are; Bulk modulus, Grüneisen parameter, Debye temperature and phonon frequency spectrum. The behavior of any of these concepts were described in different figures. It was found that, relative volume, and Grüneisen parameter were decreased with high pressure, while the other considered parameters; Bulk modulus, Debye temperature and phonon frequency spectrum were expected to increase as a high pressure is applied.
Supporting Institution
Tikrit University
Thanks
Acknowledgments
We thank university of Mosul, college of medicine, Nineveh Medicine College for helping in access to their laboratories. Thanks to Mr. Alaa Mohammad (New york Times journal correspondent), Ms. Faris M. Al hamadany (Msc. Phys., university of Newcastle, U.K., "work in Nineveh medicine collage") For reviewing the research. Thanks to Directorate General of Education, Province of Nineveh/Iraq for their moral and material support.
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Year 2022,
, 33 - 38, 01.06.2022
Abdullah M. Ali
Raed Alsaqa
,
Nashwa Salhuddin Sultan
References
- S. K. Jalal, A. M. Al-Sheikh, R.H. Al-Saqa,"High Pressure Effects on the Phonon Frequency Spectrum of the Silicon Nanoparticale", Iran J. Sci. Technol. Trans Sci. 45, 391-396.2021 https://doi.org/10.1007/s40995-020-01041-9
- S. Rettig, J. Trotter," Refinement of the structure of orthorhombic sulfur, α-S8", Acta Crystallographica Section C: Crystal Structure Communications" vol. 43, (12), 2260-2262,1987.
- Y. Akahama, M. Kobayashi, H. Kawamura, "Pressure-unduced structural phase transition in sulfur at 83 GPa.", Phys. Rev. B. vol. 48, (10), 6862-6864. 1993.
- P. N. Gavryushkin, K. D.Litasov, S. S. Dobrosmislov, and Z. I. Popov," High-pressure phases of sulfur: Topological analysis and crystal structure prediction, Phys. Status Solidi B". 1600857.2017.
- A. V. Tobolsky and J. W. MacKnight, "Polymeric Sulfur and Related Polymers", Interscience, New York, N.Y., 1968.
- H. Luo, , R. G.Greene, A. L.Ruoff ,1993 "Beta-Po phase of sulfur at 162 GPa: X-Ray diffraction study to 212 GPa." Physical Review Letters, vol. 71, (18), 2943-2946.1993.
- S. C. Abraham, “The crystal and molecular structure of orthorhombic sulfur,” Acta Crystallogr. 8, 661.1955.
- A. Caron and J. Donohue, (1965), Acta Crystallogr. 18, 562.1995.
- P. Coppens, Y. W. Yang, R. H. Blessing, Cooper W. F., Larsen, F. K.: J. Amer, Chem. Soc., Vol. 99, p760. 1977.
- R. W. Wyckoff, Crystal Structures, John Wiley & Sons, New York.1963.
- M. Thackray, J. Chem. Eng. Data, vol. 15, 495. 1970.
- J. J. Trillat , J. Forestier, C. R., Acad. Sci., Paris, 192,(1931). 559. 1970.
- L. Gmelin's, "Handbuch der Anorganischen Chemie", Part 9A, 8th ed, Verlag Chemie. Weinheim. 1953.
- D. E., Sands, J. Am., Chem. Soc. 87, 1395,1965.
- L. M. Goldsmithand, and C. E. Strouse, "Molecular dynamics in the solid state. The order-disorder transition of monoclinic sulfur", J. Am. Chem. Sot., 99, 7580-7589,1977.
- Y. Watanabe, Acta Crystallogr., Sect. B,30. 1396,1974.
- Y. M. de Haan, Physica, 24, 855, (1958).
- E. Meyer. E d.,"Elemental Sulfur, Chemistry and Physics", Inter- science, New York, N.Y,1965.
- N. Ishii, "Guideline for the diagnosis and treatment of scabies in Japan" , (second edition). Journal of Dermatology 35, 378–393,2008.
- k. Sharquie, J. Al-Rawi, A. Noaimi and H.Al-Hassany, "Treatment of scabies using 8% and 10% topical sulfur ointment in defferent regimens of application", J Drugs Dermotol., 11, Mar, (13):375-64,2012.
- H. Luo, A. L. , "Ruoff, X-ray-diffraction study of sulfur to 32 GPa: Amorphization at 25GPa", Phys. Rev. B, 48, (1), 569.1993.
- R. H. AL-Saqa, S. J. AL-Taie,"Theoretical Study of Mechanical, Elastic and Phonon Frequency Spectrum Properties for GaAs at High Pressure" , Journal of Siberian Federal University. Mathematics & Physics, 12, (3), 371–378,2019.
- F. Birch," Finite elastic strain of cubic crystal", Phys. Rev. Vol. 71, 809- 824,1947.
- A. M. Al sheikh, S. K. Jalal, S. A. Mawlood, "Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach", International journal of
thermodynamics, vol. 25, No. 1, 2022. https://doi.org/10.5541/ijot.900071.
- P. Vinet, J. Ferrante, J. Rose, and J. Smith, " Compressibility of solids", J. .Geophys. Res., vol. 92, 9319–9325,1987a.
- S. Jiuxun, "A modified Lennard-Jones type equation of state for solids strictly satisfying the spinodal condition", J. Phys.: Condens. Matter, vol. 17, L103–L111,2005.
- R. Boehler, "Melting temperature, diabetes and Gruneisen parameter lithium, sodium and potassium versus pressure", Phys. Rev. B., 127, No. 11, pp. 6754-6762,1993.
- A. M. Al-sheikh, S. K. Jalal, R. H. Al-saqa, "Equation of State and Thermo Dynamic Behaviour of C60 under High Pressure", Universal Journal of Mechanical Engineering 8, (1), 59-65,2020. DOI: 10.13189/ujme.2020.080108
- A. M. Al-Sheikh, S. J. Al-Faris, S. K. Jalal, " Grüneisen Parameter Variation Consideration in Theoretical High Pressure Studies for C60", Iran J. Sci. Technol. Trans Sci. A, 46, 2022. https://doi.org/10.1007/s40995-021-01253-7.
- R.S. Preston, S.S. Hanna, J. Helerle(1962), Mössbaur effect in metallic Iron. Phys. Rev., 128, (5), 2207-2218.
- J. Dlouha., " The influence of pressure on the Mössbauer effect", Czech. J. Phys., B, vol. 14, 571-579,1964.
- P.W. Guan a, S.-Li Shang, G. Lindwall , T. Anderson b, Z.-Kui Liu,"First-principles calculations and thermodynamic modeling of the S-Se system and implications for chalcogenide alloys", Journal of Alloys and Compounds, vol. 694, 510-521,2017.
- G. A. Saunders, Y. K. Yoḡurtçu , J. E., "Macdonald and Godfrey Stuart Pawley, The elastic behavior of orthorhombic sulfur under pressure", The Royal Socilty Open Scince Journal, ,vol. 407. Issue 1883,1986.
- Q. Lio, L. R. Chen., "Pressure dependence of the Grüneisen parameter and thermal expansion c oefficient of solids" , Indian Journal of pure &applied physics,vol. 55, 368-371,2017.
- S. Kareem Jalal, A. M. AL-Sheikh, "Theoretical High Pressure Study for Thermoelastic Properties of NaCl-B1", Rafidain Journal of Science, Volume 25, Issue 6, Pages 80-89,2014. Doi 10.33899/rjs.2014.131357.
- S. J. AL-Faris , R. H. Al-Saqa, H. M. Mohammed and S. K. Jalal, "High pressure effects on the structural properties of GaN compound using equations of state ", International journal of thermodynamics, vol. 25, No. 1,2022. https://doi.org/10.5541/ijot.960849.
- M. Güler, E. Güler, "Theoretical Analysis of Elastic, Mechanical and Phonon Properties of Wurtzite Zinc Sulfide under Pressure", Crystals, 7, 161,2017.