Research ArticleOpen AccessGoogle Scholar indexed
Theoretical Studies on the Effect of Confinement on Quantum Dots Using the Brus Equation
Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
- 1 Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
- 2 Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
- 3 Department of Physics, University of Port Harcourt, Port Harcourt, Nigeria
World Journal of Condensed Matter Physics·Volume 02 (2012)·Pages 96–100·Published 17 May 2012·DOI10.4236/wjcmp.2012.22017
Copy link · social · email
Abstract
Quantum confinement effect in semiconductor quantum dots (QD's) of CdSe, ZnS and GaAs has been studied using the Brus Equation. It is found that the simple models obtained for the three different semiconductor nanocrystals exhibit the size dependence predicted by the particle-in-a-box model. The result shows that ground state confinement energy is inversely proportional to the size (radius). Thus, as one increases the radius (size), the confinement energy decreases, but never reaches zero. i.e., the lowest possible energy for the quantum dot sample is not zero.
KeywordsQuantum DotConfinmentNanoparticlesBrus Equation
- M. A. Reed, E. S. Hornbeck, M. R. Deshpande, R. G. Wheeler, R. C. Bowen, J. N. Randal and W. R. Frensley, “Quantum Dots,” Scientific American, Vol. 268, No. 1, 1993, pp. 118-123. doi:10.1038/scientificamerican0193-118
- R. D Schaller and V. I. Klimov, “High Efficiency Carrier Multiplication in PbSe Nanocrystals: Implications for Solar Energy Conversion,” Physical Review Letters, Vol. 92, No. 18, 2004, pp. 186601-1-186601-4. doi:10.1103/PhysRevLett.92.186601
- C. Wang, M. Shim and P. Guyot-Sionnest, “Electrochromic Nanocrystal Quantum Dots,” Science, Vol. 291, No. 5512, 2001, pp. 2390-2392. doi:10.1126/science.291.5512.2390
- P. Martyniuk and A. Rogalski, “Quantum-Dot Infrared Photodetectors: Status and Outlook,” Progress in Quantum Electronics, Vol. 32, No. 3-4, 2008, pp. 89-120. doi:10.1016/j.pquantelec.2008.07.001
- A. A. Lagatsky, C. G. Leburn, C. T. A. Brown, W. Sibbett, S. A. Zolotovskaya and E. U. Rafailov, “Ultrashort-Pulse Lasers Passively Mode Locked by Quantum-Dot-Based Saturable Absorbers,” Progress in Quantum Electronics, Vol. 34, No. 1, 2010, pp. 1-45. doi:10.1016/j.pquantelec.2009.11.001
- J. Harbold and M. Plisch, “The Quantum Dot,” Cornell University, New York, 2008. http://www.cns.cornell.edu/documents/QuantumDots.pdf
- O. Yoshitaka, “Solar Quest,” Nature Photonics Technology Conference, Tokyo, 19-21 October 2010.
- J. Sinclair and Dr. Dagotto, “An Introduction to Quantum Dots: Confinement, Synthesis, Artificial Atoms and Applications,” Solid State II Lecture Notes, University of Tennessee, Knoxville, 2009.
- P. Michler, “Single Quantum Dots: Fundamentals, Applications and New Concept, Physics and Astronomy Classification Scheme (PACS),” Springer-Verlag, Berlin, 2003.
- L. E. Brus, “Electron-Electron and Electron-Hole Interactions in Small Semiconductor Crystallites: The Size Dependence of the Lowest Excited Electronic State,” Journal of Chemical Physics, Vol. 80, No. 9, 1984, p. 4403. doi:10.1063/1.447218
- Y. Kayanuma, “Quantum-Size Effects of Interacting Electrons and Holes in Semiconductor Microcrystals with Spherical Shape,” Physical Review B, Vol. 38, No. 14, 1988, pp. 9797-9805. doi:10.1103/PhysRevB.38.9797
- J. Pan, A. Bahel, V. Mushti and M. V. Ramakrishna, “Chemistry of Nanoscale Semiconductor Clusters,” Chemical Physics, 1994, in press. http://arxiv.org/pdf/chem-ph/9506002v1.pdf