scholarly journals Study of tunneling and oscillation in a GaAs/〖Al〗_(0.3) 〖Ga〗_(0.7) As superlattice: using transfer matrix method

BIBECHANA ◽  
2021 ◽  
Vol 18 (1) ◽  
pp. 91-99
Author(s):  
S Shrestha ◽  
N Bhusal ◽  
S. Byahut ◽  
C. K. Sarkar
Keyword(s):  
Transfer Matrix ◽  
High Frequency ◽  
Energy Difference ◽  
Point Of View ◽  
Wave Functions ◽  
Electron Wave ◽  
Symmetric State ◽  
Small Energy ◽  
Fundamental Physics ◽  
Period Of Oscillation

The study of superlattice (SL) system in lower dimensions, which shows tunneling and oscillation of particles, is very interesting from the point of view of fundamental physics and is important for devices. Here, we present results of our calculations related to tunneling/oscillations in a general SL system using a Symmetrical Quadruple Well (SQW) potential. This class of problems is handled using a transfer matrix (T-matrix), which is obtained by taking the solution of Schroedinger equation with appropriate boundary conditions on either side of SQW and then repeatedly applying it for the SL system. The electron wave functions in the system are found to be either in a symmetric or an anti-symmetric state with a very small energy difference between the two, leading to oscillations between these states. In this study, probability density and period of oscillation of the particle in SQW is calculated. The result is useful for high frequency operations in devices using SL. BIBECHANA 18 (2021) 91-99

Substitution effects and electronic properties of the azo dye (1-phenylazo-2-naphthol) species: a TD-DFT electronic spectra investigation

2015 ◽  
Vol 93 (5) ◽  
pp. 509-517 ◽  
Author(s):  
Lakhdar Mansouri ◽  
Bachir Zouchoune
Keyword(s):  
Electronic Spectra ◽  
Geometry Optimization ◽  
Energy Difference ◽  
Point Of View ◽  
Substitution Effects ◽  
Spectral Position ◽  
Full Geometry Optimization ◽  
Small Energy ◽  
Perfect Agreement ◽  
Td Dft

DFT/B3LYP and ab initio Hartree–Fock calculations with full geometry optimization have been carried out on hydrazo and azo forms of 1-phenylazo-2-naphthol and their substituted derivatives. The predicted geometries show that a small energy difference of 1.8 kcal/mol might tune the equilibrium between both forms. Depending on the electron donating and electron accepting of the different used substituents (CF3, NH2, CH3, Cl, and NO2), the various obtained isomers show small energy differencies between meta and para substitution except for the NH2 one, indicating the coexistence of the tautomers in solution. The ortho(C12) position was found to be the less favored substitution in all cases, while the second ortho(C16) position for different substituents provides isomers competing with the most stable meta and para ones. The obtained results suggest that a judicious choice in the substituents’ use on the phenyl ring should lead to stabilization. The TD-DFT theoretical study performed on the optimized geometry allowed us to identify quite clearly the spectral position and the nature of the different electronic transitions according to their molecular orbital localization, hence, reproducing the available UV-Vis spectra. The increase in the wavelength values is in perfect agreement with red shifts and the ΔE (ELUMO – EHOMO) decreasing. Thus, from the point of view of both substitution and the used solvent, the obtained electronic spectra appear to behave quite differently.

Magnetotunneling spectroscopy imaging of electron wave functions in self-assembled InAs quantum dots

2001 ◽  
Vol 171 (12) ◽  
pp. 1365
Author(s):  
E.E. Vdovin ◽  
Yu.N. Khanin ◽  
Yu.V. Dubrovskii ◽  
A. Veretennikov ◽  
A. Levin ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Wave Functions ◽  
Electron Wave ◽  
Inas Quantum Dots ◽  
Self Assembled

A free-electron theory of conjugated molecules

1953 ◽  
Vol 49 (4) ◽  
pp. 650-658 ◽  
Author(s):  
J. Stanley Griffith
Keyword(s):  
Free Electron ◽  
Wave Functions ◽  
Electron Charge ◽  
Algebraic Equations ◽  
Electron Wave ◽  
Electron Theory ◽  
Conjugated Molecules ◽  
Electron Charge Density ◽  
Linear Polyenes ◽  
Alternant Hydrocarbons

ABSTRACTThe values of a free-electron eigenfunotion at the carbon nuclei of a conjugated hydrocarbon are found to satisfy a system of algebraic equations. These equations are similar in form to those obtained in the method known as the linear combination of atomic orbitale but only coincide with them for linear polyenes and benzene. The symmetry, degeneracy and energy of the eigenvectors of these free-electron equations correspond exactly to those of the free-electron wave functions found by the usual methods. From this correspondence, a theorem is deduced about the free-electron charge density in alternant hydrocarbons.

Electron wave functions at the nuclear surface

1974 ◽  
Vol 48 (2) ◽  
pp. 91-94 ◽  
Author(s):  
H. Ogata ◽  
J. Asai
Keyword(s):  
Wave Functions ◽  
Nuclear Surface ◽  
Electron Wave

High Frequency Modeling of Smart Sensor for Precise Power Quality Assessment Using Fuzzy Logic

2016 ◽  
Vol 25 (06) ◽  
pp. 1650056 ◽  
Author(s):  
G. Sudha ◽  
K. R. Valluvan
Keyword(s):  
Fuzzy Logic ◽  
Quality Assessment ◽  
Power Quality ◽  
High Frequency ◽  
Wide Band ◽  
Electrical Equipment ◽  
Distribution Networks ◽  
Accurate Method ◽  
Energy Difference ◽  
Critical Issue

Power Quality Assessment (PQA) is a critical issue both in transmission and distribution networks. Therefore, it is necessary to precisely classify the disturbances in shortest possible time to prevent the malfunction or increase of losses in the electrical equipment through appropriate remedial techniques. This paper proposes a highly accurate method of PQA through data acquisition using smart sensors, the Rogowski coils (RCs). RCs with wide band width and linear characteristics allow faithful reproduction of high-frequency (HF) signals. In the proposed method, simulated disturbance signals are applied to RC. The output signals are subjected to multilevel wavelet decomposition and then computation of the energy difference in the detailed components between the disturbance signal and the pure sinusoidal waveform is performed to design a fuzzy logic Power Quality Classifier. The classifier is tested by varying the magnitude, frequency and duration of the disturbance and found to be accurate to 98.38%. The classification accuracy depends mainly on the performance of sensors at HFs. Thus, with RCs as sensors instead of conventional instrument transformers, it is found that the precision of power quality classification is greatly improved.

scholarly journals Optics of Chromites and Charge-Transfer Transitions

2008 ◽  
Vol 2008 ◽  
pp. 1-4 ◽  
Author(s):  
Andrei V. Zenkov
Keyword(s):  
Charge Transfer ◽  
Simple Structure ◽  
Electric Dipole Transition ◽  
Wave Functions ◽  
Final States ◽  
Matrix Elements ◽  
Cluster Approach ◽  
Electron Wave ◽  
Charge Transfer Transitions ◽  
Transition Modeling

Specific features of the charge-transfer (CT) states and O2p→Cr3d transitions in the octahedral (CrO6)9− complex are considered in the cluster approach. The reduced matrix elements of the electric-dipole transition operator are calculated on many-electron wave functions of the complex corresponding to the initial and final states of a CT transition. Modeling the optic spectrum of chromites has yielded a complicated CT band. The model spectrum is in satisfactory agreement with experimental data which demonstrates the limited validity of the generally accepted concept of a simple structure of CT spectra.

Electron Wave Functions in Metallic Cesium

1958 ◽  
Vol 112 (4) ◽  
pp. 1061-1062 ◽  
Author(s):  
Joseph Callaway
Keyword(s):  
Wave Functions ◽  
Electron Wave

The dependence of the hyperfine interaction on the cellular potential in Na and K. II

1969 ◽  
Vol 47 (13) ◽  
pp. 1331-1336 ◽  
Author(s):  
R. A. Moore ◽  
S. H. Vosko
Keyword(s):  
Fermi Surface ◽  
Electron Density ◽  
Wave Functions ◽  
Electron Wave ◽  
Surface Electron ◽  
Conduction Electrons ◽  
Hartree Fock ◽  
A Value ◽  
Dependent Potential ◽  
Conduction Electron Density

The dependence of the Fermi surface electron wave functions in Na and K on (i) an L-dependent effective local cellular potential constructed to simulate Hartree-Fock theory and (ii) the inclusion of the Hartree field due to the conduction electrons in the cellular potential is investigated. All calculations are performed using the Wigner–Seitz spherical cellular approximation and the Schrödinger equation is solved by the Kohn variational method. It is found that to ensure a value of the Fermi surface electron density at the nucleus accurate to ~5%, it is necessary to use the L-dependent potential along with the Hartree field due to a realistic conduction electron density.

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