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<p>Using the density of state equation derived from the type of conditions in a quantum Schrödinger well, the effect of shape on quantum confinement in semiconductor materials was used to study regular shapes to determine their effectiveness in evaluating the isometric quantum confinement of semiconductor nanocrystals.This work, in particular, examines isometric nanoparticles of various shapes and raises the question of how isometric deformation of nanoparticle shapes affects their response. The effect of quantum confinement, which includes one-dimensional, two-dimensional, and three-dimensional shapes, was investigated on three distinct shapes of semiconductor nanocrystals (rectangular, spherical, and torus) by examining the density of states of these material shapes.The analysis showed that the simplified models used for each shape indicate an inverse relationship between the ground-state confinement energy and volume. Thus, as the radius increases, the confinement energy decreases, although it never approaches zero. Further calculations revealed that the increasing variation in confinement potential corresponds to a decrease in the binding energy of the nanoparticles. Among the various shapes of equal size, nanorods exhibited lower binding energies than nanotorches, while nanotorches exhibited lower binding energies than nanospheres. These results confirm that even slight modifications in the crystal structure of nanoparticles can lead to significant changes in the properties of these nanomaterials. Theoretical results show that as the size increases, the confinement energy, Coulombic energy, and energy band gap of these quantum dots decrease.The most important result of this study is that, based on the geometry of the quantum dots studied, the sphere has the highest confinement energy, the quantum tours has the largest Coulombic energy, and the cube has the highest energy band gap. This work reveals that appropriate choices of shape and size can enhance the electronic and optical properties of nanocrystals.</p>

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Effective of regular shapes on the isovolumetric boundary quantum confinement assessment of semiconductor nanocrystals

  • 期刊论文

  • 发表日期：

    2025年12月2日

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  • Thaer A. Mezher,
  • Hameed H. Ahmed,
  • Marwan R. Rashid

摘要

Using the density of state equation derived from the type of conditions in a quantum Schrödinger well, the effect of shape on quantum confinement in semiconductor materials was used to study regular shapes to determine their effectiveness in evaluating the isometric quantum confinement of semiconductor nanocrystals.This work, in particular, examines isometric nanoparticles of various shapes and raises the question of how isometric deformation of nanoparticle shapes affects their response. The effect of quantum confinement, which includes one-dimensional, two-dimensional, and three-dimensional shapes, was investigated on three distinct shapes of semiconductor nanocrystals (rectangular, spherical, and torus) by examining the density of states of these material shapes.The analysis showed that the simplified models used for each shape indicate an inverse relationship between the ground-state confinement energy and volume. Thus, as the radius increases, the confinement energy decreases, although it never approaches zero. Further calculations revealed that the increasing variation in confinement potential corresponds to a decrease in the binding energy of the nanoparticles. Among the various shapes of equal size, nanorods exhibited lower binding energies than nanotorches, while nanotorches exhibited lower binding energies than nanospheres. These results confirm that even slight modifications in the crystal structure of nanoparticles can lead to significant changes in the properties of these nanomaterials. Theoretical results show that as the size increases, the confinement energy, Coulombic energy, and energy band gap of these quantum dots decrease.The most important result of this study is that, based on the geometry of the quantum dots studied, the sphere has the highest confinement energy, the quantum tours has the largest Coulombic energy, and the cube has the highest energy band gap. This work reveals that appropriate choices of shape and size can enhance the electronic and optical properties of nanocrystals.