Keywords : Semi


Study and Calculation of the IR Spectrumfor Moleculecoumarin C14H12NO2F3 by Semi-Empirical Programs

Abdul Hakim Mohammed; Awatf Jasem; Muklis Abrahem

Kirkuk University Journal-Scientific Studies, 2019, Volume 14, Issue 2, Pages 211-231
DOI: 10.32894/kujss.2019.14.2.13

This work aims to study potential energy and vibrational frequencies of a non-linear molecule (C522) using semi-experimental and MNDO-PM3 method, the geometric space shape for molecule was calculated through the initial and final matrix which includes the bonds lengths and the angle between bonds, surface angles and the charge of each atom in the molecules and from the curve of potential energy for molecule and depending on the change of the bond length (C15—C6) (C2—O3) (C15—F18) (C13—N12) (C14—H29) (C6═C1) (C2═O23) of the molecules versus the energy values obtained, and the total energy for molecules at equilibrium state was (-3915.10178 eV) and at equilibrium distance for each bond (1.53 Aͦ), (1.37 Aͦ), (1.35 Aͦ), (1.48 Aͦ), (1.10 Aͦ), (1.34 Aͦ) and (1.21 Aͦ) respectively and from the potential energy curve, the dissociation energies were calculated for each bond are (5.69258 eV), (2.45383 eV), (5.90738 eV), (4.41122 eV), (7.53398 eV), (7.56607 eV) and (8.41981 eV) respectively. In addition, the energy values of the molecular orbitals are calculated including highest occupied molecular orbital (EHOMO), lowest unoccupied molecular orbital (ELUMO) and the energy gap for molecular (Egap) was equal to (7.38 eV). The vibrational frequencies of the molecule were also calculated when the vibrational frequencies for molecule at equilibrium state of vibration and the basic vibration modes were equal to 90 vibration mode.

Semi-Essential Submodules and Semi-Uniform Modules

Ali S. Mijbass; Nada K. Abdullah

Kirkuk University Journal-Scientific Studies, 2009, Volume 4, Issue 1, Pages 48-58
DOI: 10.32894/kujss.2009.40796

In this work,we give generalizations for the concepts essential submodule and uniform module.We call an R-submodule N of M semi-essential if N∩P≠0 for each nonzero prime R- submodule P of M, and we call an R- module M semi - uniform if every nonzero R-submodule N of M is semi-essential. Moreover, we generalize some properties of essential R-submodules to semi-essential R-submodules,and we generalize some properties of uniform R-modules to semi-uniform R-module. We also give conditions under them an R-submodule N of a multiplication R- module M becomes semi- essential. Furthermore, we give some conditions under them an R-module M satisfies ACC(DCC) on semi-essential R-submodules.