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Quantum Size Effects on Effective Mass and Band gap of Semiconductor Quantum Dots

Author Affiliations

  • 1Department of Physics, Islamic Azad University, Mahshahr Branch, Mahshahr, IRAN

Res. J. Recent Sci., Volume 2, Issue (1), Pages 21-24, January,2 (2013)

Abstract

In this research we calculate the band gap of ZnS nano particle and show that it increases with decreasing its size. The simplest way for discussing this phenomenon and finding the band gap for different sizes is effective mass approximation. We show, this method isn't accurate for particles smaller than 2.5 nm. This is due to the fact that the effective mass of particles at this size is dependent of size. To calculate the band gap of small size ZnS, the density functional theory was used. This theory has also used to determine the effective mass for various particle sizes. Our calculation indicates the appearance of blue shift by decreasing the size of particle.

References

  1. Alivisatos A.P., Semiconductor Clusters, Nanocrystals, and Quantum Dots, Science,271, 933- 937 (1996)
  2. Trentler T.J, Hickman K.M., Goel S.C., Viano A.M., Gibbons P.C., and Buhro W.E., Solution-Liquid-Solid Growth of Crystalline III-V Semiconductors: An Analogy to Vapor-Liquid-Solid Growth, Science, 270, 1791 (1995)
  3. Kazes M., Lewis D.Y., Ebenstein Y., Mokari T. and Banin U., Lasing from Semiconductor Quantum Rods in a Cylindrical Microcavity, Adv. Mater, 14, 317 (2002)
  4. Achermann M., Petruska M.A., Kos S., Smith D.L., Koleske D.D. and Klimov V.I., Energy-transfer pumping of semiconductor nanocrystals using an epitaxial quantum well, Nature, 429, 642 (2004)
  5. Huynh W.U, Dittmer J.J. and Alivisatos A.P., Hybrid Nanorod-Polymer Solar Cells, Science,295, 2425 (2002)
  6. Klein D.L., Roth R., Lim A.K.L., Alivisatos A.P. and McEuen P.L., A single-electron transistor made from a cadmium selenide nanocrystal, Nature, London, 389, 699 (1997)
  7. Gao X., Cui Y., Levenson R.M., Chung L.W.K. and Nie S., In-vivo cancer targeting and imaging with semiconductor quantum dots, Nature Biotechnology, 22, 969-976 (2004)
  8. Cui Y., Wei Q., Park H., and Lieber C.M., Nanowire Nanosensors for Highly Sensitive and Selective Detection of Biological and Chemical Species, Science, 293, 1289 (2001)
  9. Alivisatos A.P., The use of nanocrystals in biological detection, Nat. Biotechnol., 22, 47 (2004)
  10. Louis Brus., Electronic wave functions in semiconductor clusters: experiment and theory, J. Phys. Chem. 90, 2555 (1986)
  11. Martin R.M., Electronic Structure Basic Theory and Practical Methods (Cambridge university press 2004)
  12. Haug H. and Khoch S.W, Quantum Theory of the Optical and Electric Properties of Semiconductors (World Scientific Publishing Co. Pte. Lid (1993)
  13. Sze S. M., Physics of semiconductors Devices (John Willey and Sons 1981)
  14. Nanda J., Dapara S. and Sarma D.D., Size selected zinc sulfide nanocrystallites: synthesis, structure and optical studies, Chem. Mater., 12, 1018 (2000)
  15. Li J. and Wang Lin-Wang, Band-structure-corrected local density approximation study of semiconductor quantumdots and wires, Phys.Rew. B, 72, 125325 (2005)