Establishing mathematical models for determining quantum dot potential for pbs and pbte structures in terms of QD's diameters by numerical methods

Document Type : Research Paper

Authors
Aws Asaad Hamdi 1
Ghassan Ezzulddin Arif 2
Anas Asaad Hamdi 3
1 Directorate of Education Salah Eddin, Ministry of Education, Iraq
2 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Iraq
3 Directorate General of Education in Salah al-Din Province, Iraq
10.22075/ijnaa.2022.5575
Abstract
The main goal of this paper is to obtain the estimated determination of the quantum dot potential for PbS and PbTe structures (in mV) which are compared to other values at different QD's diameters (in nm). In order to investigate this goal, the study relies on two methods of interpolation such as Neville and Spline methods, as well as it constructs mathematical models that help to find the estimate determination of quantum dot potential for PbS and PbTe structures compared to other values at different QD's diameters. The numerical results were very close to the real results. Finally, we estimated the determinations outside the fields and labs of the measured areas.
Keywords
Mathematical model
Neville's method
Spline method
Quantum dot potential for PbS and PbTe
Diameter
[1] Y. Al-Douri, H. Khachai, R. Khenata and A. Bouhemadou, First-principles calculations for optical investigations of pbx(x= s, te) compounds under quantum dots diameter effect, Canadian J. Phys. 93 (2015) 1490–1494.
[2] G.E. Arif, R.A. Hameed, S.M. Abdullah and W.A. Shatti, Establishing mathematical models to estimate the activities of radionuclides (ra) and the lung cancer (lc) by using some numerical method, Diyala J.r Pure Sci. 13 (2017) 256–269.
[3] G.E. Arif and Y. Al-Douri, Mathematical Modeling of Physical Properties for Hexagonal Binaries, Germany, Scholar’s Press, 2016.
[4] G.E. Arif, A.A. Battawy, Z. Hussein and N.F. Tawfiq, Mathematical modeling of determining the average of uranium concentration in the urine for the radiation workers according to the number of working years, J. Univ. Anbar Pure Sci. 9 (2015) 74–79.
[5] A.A. Battawy, N.F. Tawfiq, L.A. Najam, M.S. Jaafar and I.S. Mustafa, Indoor radon concentration measurement in different iraqi radiation locations, Int. J. Recent Researchand Rev. IX (2016) 1–7.
[6] R.L. Burden and J.F. Douglas, Numerical Analysis, Brooks/Cole, USA Burden, 2001.
[7] R.A. Hameed, G.E. Arif and A.A. Hamdi, Estimatig the amount of potassium radiation effect on soil using neville and hermite numerical methods, Tikrit J. Pure Sci. 22 (2018) 100–105.
[8] N.M. Luma, N.H. Al-Noor and T.H. Al-Noor, Estimate the rate of contamination in baghdad soils by using numerical method, J. Phys. Conf. Ser. 1294 (2019).
[9] G.S. Rao, Numerical Analysis, Revised Third Edition, New Age International Publishers, 2006.
[10] S.S. Sastry, Introductory Methods of Numerical Analysis, Fourth Edition, Prentice-Hallof India, 2006.
International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 729-735

  • Receive Date 08 August 2021
  • Revise Date 09 August 2021
  • Accept Date 27 September 2021

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