Quantum mechanics for nanostructures

Square wells, quantum wells and ultra-thin metallic films

“…The present paper illustrates two interesting facts, namely: (1) some important nanophysical systems, for instance quantum wells, can be understood with elementary quantum mechanics [1]; and (2) elementary quantum mechanics offers still unexplored domains, for instance the transcendental equations of eigenenergy. In fact, in almost all 'exactly solvable problems' of quantum mechanics, only the Schroedinger equation for the wave functions has an exact solution, but the transcendental equation for the eigenvalues can be solved only numerically or graphically.…”

Influence of composition on the external quantum efficiency of reduced graphene oxide/carbon nanoparticle based photodetector used for human body IR detection

“…The band gap of the RGO/CNP nanocomposite is inversely proportional to the square of the RGO/CNP lm thickness (E g $ 1/d 2 ). [60][61][62] The quantum size effect could be a probable reason for the change in the band gap with varying thickness of RGO/CNP thin lms. This can be elucidated in the following way.…”

“…The size of this quantummechanical object or quantum well is comparable to the electron de Broglie wavelength. 62 In such a quantum-well, the electronic properties are usually different from those of bulk materials and hence low-dimensional effects become perceptible. In this low-dimensional system, the quantum-mechanical laws direct different processes and the energy spectrum, which describes the electron motion in the conned region, becomes discrete and thus the band gap of a semiconductor becomes size dependent.…”

THE INFLUENCE OF PARTICLE NUMBER ON MICROSTRUCTURE OF THE NiAl MODEL

“…Initially, the NiAl bulk models with 5,324 particles, 6,912 particles and 8,788 particles were put randomly in a cubic box. These models were studied using the Molecular Dynamics (MD) [15] method with the Sutton-Chen embedded (2.1) [9,12,16] interaction potential and periodic boundary conditions. The NiAl nanoparticle models with 5,324 particles, 6,912 particles and 8,788 particles were put randomly in a spherical box.…”