scholarly journals A Theoretical Study on Vibrational Energies of Molecular Hydrogen and Its Isotopes Using a Semi-classical Approximation

2021 ◽  
Vol 21 (3) ◽  
pp. 725
Author(s):  
Redi Kristian Pingak ◽  
Albert Zicko Johannes ◽  
Fidelis Nitti ◽  
Meksianis Zadrak Ndii
Keyword(s):  
Molecular Hydrogen ◽  
Morse Potential ◽  
Theoretical Study ◽  
Potential Functions ◽  
Percentage Error ◽  
Quantization Rule ◽  
Classical Approximation ◽  
Vibrational Energies ◽  
Rosen Potential ◽  
Better Than

This study aims to apply a semi-classical approach using some analytically solvable potential functions to accurately compute the first ten pure vibrational energies of molecular hydrogen (H2) and its isotopes in their ground electronic states. This study also aims at comparing the accuracy of the potential functions within the framework of the semi-classical approximation. The performance of the approximation was investigated as a function of the molecular mass. In this approximation, the nuclei were assumed to move in a classical potential. The Bohr-Sommerfeld quantization rule was then applied to calculate the vibrational energies of the molecules numerically. The results indicated that the first vibrational transition frequencies (v1ß0) of all hydrogen isotopes were consistent with the experimental ones, with a minimum percentage error of 0.02% for ditritium (T2) molecule using the Modified-Rosen-Morse potential. It was also demonstrated that, in general, the Rosen-Morse and the Modified-Rosen-Morse potential functions were better in terms of calculating the vibrational energies of the molecules than Morse potential. Interestingly, the Morse potential was found to be better than the Manning-Rosen potential. Finally, the semi-classical approximation was found to perform better for heavier isotopes for all potentials applied in this study.

scholarly journals Sensorless dual axis solar tracker using improved sun position algorithm

2020 ◽  
Vol 11 (3) ◽  
pp. 1305
Author(s):  
Chan Men Loon ◽  
Muhamad Zalani Daud
Keyword(s):  
Low Cost ◽  
Percentage Error ◽  
Total Output ◽  
Solar Pv ◽  
Pv Systems ◽  
Measured Angle ◽  
Solar Tracker ◽  
Fixed Panel ◽  
Fixed System ◽  
Better Than

This paper presents development of a prototype sensorless dual axis solar tracker for maximum extraction of solar energy. To prove the concept and evaluate the proposed algorithm, a low cost widely availabe materials were used which was programmed based on Arduino microcontroller. The porposed algorithm works based on two search methods namely the global search that approximates the best point location in a region, and local search that further determines the actual sun’s position. Experimental results showed that the proposed algorithm gives better performance compared to the existing sun position algorithm (SPA) - based method as well as the fixed panel system. In terms of total output power, the proposed algorithm gives 17.96% more efficient than the fixed system and 6.38% better than the SPA-based system. Furthermore, the percentage error of the experimental measured angle to the actual sun azimuth angle was relatively minimal (less than 3%) during clear day operation. The system was proven to be effective in tracking the sun for improved energy production of solar PV panels and the proposed algorithm also can be used for designing the tracker with larger size of solar PV systems.

scholarly journals Performance Analysis of Maximal Risk Evaluation Formulas for Spectrum-Based Fault Localization

2020 ◽  
Vol 10 (1) ◽  
pp. 398 ◽  
Author(s):  
Tingting Wu ◽  
Yunwei Dong ◽  
Man Fai Lau ◽  
Sebastian Ng ◽  
Tsong Yueh Chen ◽  
...  
Keyword(s):  
Risk Evaluation ◽  
Theoretical Study ◽  
Ordered Set ◽  
Fault Localization ◽  
Research Area ◽  
Theoretical Studies ◽  
Effectiveness Analysis ◽  
Significant Research ◽  
Program Spectrum ◽  
Better Than

The effectiveness analysis of risk evaluation formulas has become a significant research area in spectrum-based fault localization (SBFL). The risk evaluation formula is designed and widely used to evaluate the likelihood of a program spectrum to be faulty. There are numerous empirical and theoretical studies to investigate and compare the performance between sixty risk evaluation formulas. According to previous research, these sixty risk evaluation formulas together form a partially ordered set. Among them, nine formulas are maximal. These nine formulas can further be grouped into five maximal risk evaluation formula groups so that formulas in the same group have the same performance. Moreover, previous research showed that we cannot theoretically compare formulas across these five maximal formula groups. However, experimental data “suggests” that a maximal formula in one group could outperform another one (from a different group) more frequently, though not always. This inspired us to further investigate the performance between any two maximal formulas in different maximal formula groups. Our approach involves two major steps. First, we propose a new condition to compare between two different maximal formulas. Based on this new condition, we present five different scenarios under which a formula performs better than another. This is different from the condition suggested by the previous theoretical study. We performed an empirical study to compare different maximal formulas using our condition. Our results showed that among two maximal risk evaluation formulas, it is feasible to identify one that can outperform the others more frequently.

Energy spectrum of the trigonometric Rosen–Morse potential using an improved quantization rule

2007 ◽  
Vol 371 (3) ◽  
pp. 180-184 ◽  
Author(s):  
Zhong-Qi Ma ◽  
A. Gonzalez-Cisneros ◽  
Bo-Wei Xu ◽  
Shi-Hai Dong
Keyword(s):  
Energy Spectrum ◽  
Morse Potential ◽  
Quantization Rule

Theoretical Study on Seismic Behavior of LYTAG Concrete

2014 ◽  
Vol 936 ◽  
pp. 1414-1418
Author(s):  
Lin Chun Zhang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Seismic Performance ◽  
Seismic Behavior ◽  
Theoretical Study ◽  
Economic Benefits ◽  
Element Analysis ◽  
Ordinary Concrete ◽  
Better Than

In order to estimate seismic behavior of LYTAG concrete, the seismic behavior of ordinary concrete have been studied in comparison with LYTAG concrete in this article. At first it discusses the advantages of LYTAG concrete, and then it draws following conclusions through the contrast tests of LYTAG concrete and ordinary concrete and the method of finite element analysis. The seismic performance of Lytag concrete is better than that of ordinary concrete. LYTAG concrete has better social and economic benefits than ordinary concrete from the aspects of seismic fortification.

Theoretical study of cluster models and molecular hydrogen interaction with SnO2 [110] surface

1995 ◽  
Vol 335 (1-3) ◽  
pp. 167-174 ◽  
Author(s):  
João B.L. Martins ◽  
Elson Longo ◽  
Juan Andrés ◽  
C.A. Taft
Keyword(s):  
Molecular Hydrogen ◽  
Theoretical Study ◽  
Cluster Models ◽  
Hydrogen Interaction

The Relationship between Lennard-Jones (12-6) and Morse Potential Functions

2003 ◽  
Vol 58 (11) ◽  
pp. 615-617 ◽  
Author(s):  
Teik-Cheng Lim
Keyword(s):  
Morse Potential ◽  
Morse Function ◽  
Van Der Waals ◽  
Potential Functions ◽  
Van Der Waals Interactions ◽  
Mathematical Relationship ◽  
Lennard Jones ◽  
The Relationship

The most commonly used potentials for van der Waals interactions are the Exponential-6 and the Lennard-Jones (12-6) potential. In this paper a correlation between them is described. The Morse function, which is normally applied for quantifying 2-body interactions, has been adopted in one software. This paper deals with the validity of the Morse function for non-bonded interactions by means of obtaining a relationship between the Morse and the Lennard-Jones (12-6) potential functions. An approximate and an exact mathematical relationship is demonstrated to exist between these two potentials.

scholarly journals Prediction by using Artificial Neural Networks and Box-Jenkins methodologies: Comparison Study

2017 ◽  
Vol 9 (2) ◽  
Author(s):  
Mohammed Habib Al- Sharoot ◽  
Emaan Yousif Abdoon
Keyword(s):  
Neural Networks ◽  
Exchange Rate ◽  
Absolute Error ◽  
Percentage Error ◽  
Neural Network Approach ◽  
Decision Making Processes ◽  
The Mean ◽  
Us Dollar ◽  
Stable Economy ◽  
Better Than

The variations in exchange rate, especially the sudden unexpected increases and decreases, have significant impact on the national economy of any country. Iraq is no exception; therefore, the accurate forecasting of exchange rate of Iraqi dinar to US dollar plays an important role in the planning and decision-making processes as well as the maintenance of a stable economy in Iraq. This research aims to compare Box-Jenkins methodology to neural networks in terms of forecasting the exchange rate of Iraqi dinar to US dollar based on data provided by the Iraqi Central Bank for the period  30/01/2004 and 30/12/2014. Based on the Mean Square Error (MSE), the Mean Absolute Error (MAE), and the Mean Absolute Percentage Error (MAPE) as criteria to compare the two methodologies, it was concluded that Box-Jenkins is better than neural network approach in forecasting.

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