On the use of nonrigid-molecular symmetry in nuclear motion computations employing a discrete variable representation: A case study of the bending energy levels of C H 5 +

2017 ◽  
Vol 147 (13) ◽  
pp. 134101 ◽  
Author(s):  
Csaba Fábri ◽  
Martin Quack ◽  
Attila G. Császár
Keyword(s):  
Energy Levels ◽  
Nuclear Motion ◽  
Molecular Symmetry ◽  
Discrete Variable ◽  
Discrete Variable Representation ◽  
Bending Energy ◽  
Variable Representation

Vibration spectrum calculations of isotopic species of hydrogen sulfide using the discrete variable representation (DVR) method

2013 ◽  
Vol 91 (10) ◽  
pp. 815-821 ◽  
Author(s):  
Ang-yang Yu
Keyword(s):  
Hydrogen Sulfide ◽  
Energy Levels ◽  
Three Dimensional ◽  
Bound State ◽  
Vibration Energy ◽  
Discrete Variable ◽  
Discrete Variable Representation ◽  
Triatomic Molecules ◽  
Isotopic Species ◽  
Variable Representation

In this work, a modified three-dimensional discrete variable representation (MDVR3D) program, which could be used to calculate the bound state vibration spectrum of some triatomic molecules is developed. The sine basis functions are chosen to define the DVR for the radial coordinates for this new program. Both the three-dimensional discrete variable representation (DVR3D) program and the MDVR3D program are used to calculate the vibration energy levels of the isotopic species of hydrogen sulfide (H232S, H233S, H234S, D232S, D233S, D234S, T232S, T233S, T234S). The calculated vibration energy levels from the MDVR3D program are consistent with the counterparts from the DVR3D program, which means that they are good procedures for calculating the bound state energy levels of the triatomic molecules and testing the quality of the potential energy surface (PES). The comparison of the experimental and theoretical vibration energy levels for the nine isotopic species of hydrogen sulfide molecule is made and shows good consistency. This work forms the basis for dealing with the rotational spectrum calculations and presents the first theoretical results for D233S, T232S, T233S, and T234S. Future spectrum observations are needed to compare with these new results.

Rovibrational spectroscopic constants of the interaction between ammonia and metallo-phthalocyanines: a theoretical protocol for ammonia sensor design

2017 ◽  
Vol 19 (17) ◽  
pp. 10843-10853 ◽  
Author(s):  
Alan R. Baggio ◽  
Daniel F. S. Machado ◽  
Valter H. Carvalho-Silva ◽  
Leonardo G. Paterno ◽  
Heibbe Cristhian B. de Oliveira
Keyword(s):  
Dft Calculations ◽  
Theoretical Approach ◽  
Schrodinger Equation ◽  
Spectroscopic Constants ◽  
Sensor Design ◽  
Discrete Variable ◽  
Ammonia Sensor ◽  
Discrete Variable Representation ◽  
Representation Method ◽  
Variable Representation

We developed an adapted theoretical approach based on DFT calculations (B3LYP) and the nuclear Schrödinger equation using the Discrete Variable Representation method to model the interaction of ammonia with metallo-phthalocyanines.

Imaginary-Time Time-Dependent Density Functional Calculation of Excited States of Atoms Using CWDVR Approach

2021 ◽  
Vol 323 ◽  
pp. 14-20
Author(s):  
Naranchimeg Dagviikhorol ◽  
Munkhsaikhan Gonchigsuren ◽  
Lochin Khenmedekh ◽  
Namsrai Tsogbadrakh ◽  
Ochir Sukh
Keyword(s):  
Excited States ◽  
Density Functional ◽  
Time Dependent ◽  
Discrete Variable ◽  
Coulomb Wave Function ◽  
Discrete Variable Representation ◽  
Density Functional Calculation ◽  
Imaginary Time ◽  
Sham Equation ◽  
Variable Representation

We have calculated the energies of excited states for the He, Li, and Be atoms by the time dependent self-consistent Kohn Sham equation using the Coulomb Wave Function Discrete Variable Representation CWDVR) approach. The CWDVR approach was used the uniform and optimal spatial grid discretization to the solution of the Kohn-Sham equation for the excited states of atoms. Our results suggest that the CWDVR approach is an efficient and precise solutions of excited-state energies of atoms. We have shown that the calculated electronic energies of excited states for the He, Li, and Be atoms agree with the other researcher values.

Sign in / Sign up

Export Citation Format

Share Document