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6 articles for “second order perturbation energy”
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Natural Bond Orbital, Bond Order and Frequency based Study of Hydrogen Bond Formation in Different Glycols-Water Complex
Abstract: Natural bond orbital (NBO) analysis, natural atomic orbital (NAO) analysis, Wiberg bond order, vibrational frequency, free energy and enthalpy changes for hydrogen bond formation in different polyethylene glycol + water complex and dipropylene glycol + water complex have been performed by Hatree Fock (HF) method, second order Møller–Plesset perturbation theory (MP2) and Density Functional Theory (DFT) using 6-31++G(d,p) basis set. In order to describe hydrogen bond interaction appropriately, B3LYP DFT-D, …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 4, Issue 1, 2013 · pp. 1–20 Read article
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Ferromagnetic thin Films with Simple Cubic Structure as Described by Fourth Order Perturbed Heisenberg Hamiltonian
Abstract: For the first time, fourth order perturbed Heisenberg Hamiltonian has been applied to study the properties of simple cubic structured ferromagnetic ultrathin films with two spin layers. Only the spin exchange interaction, second order magnetic anisotropy constant and the short-range magnetic dipole interaction were taken into account. Only when the second order anisotropy constant varies from one spin plane to the other spin plane, perturbation becomes nonzero. 3-D plots of …
Published in Journal of Nanoscience, NanoEngineering & Applications · Vol. 10, Issue 3, 2020 · pp. 35–43 Read article
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A Solution of Fourth Order Perturbed Heisenberg Hamiltonian with Seven Magnetic Parameters
Abstract: For the first time, the fourth order perturbed Heisenberg Hamiltonian with all seven magnetic energy parameters was solved for simple cubic structured ferromagnetic ultrathin films. Spin exchange interaction, magnetic dipole interaction, second order magnetic anisotropy, fourth order magnetic anisotropy, applied magnetic field, demagnetization energy and stress induced anisotropy were considered. 3D graphs of total magnetic energy versusstressinduced anisotropy and angle were plotted for different values of second order and fourth …
Published in Journal of Nanoscience, NanoEngineering & Applications · Vol. 12, Issue 1, 2022 · pp. 1–13 Read article
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Relationship between Demagnetization Factor and Energy of Thick Ferromagnetic Films
Abstract: The variation of energy of ferromagnetic thick films of 10000 layers with demagnetization factor will be described in this report using second order perturbed Heisenberg Hamiltonian. Under the influence of demagnetization factor given by =6.6, the sc(001) film with 10000 layers can be easily oriented in 0.6 radians direction for the values of energy parameters used in this report. Easy direction of thick fcc(001) film with 10000 layers was determined …
Published in Research & Reviews : Journal of Physics · Vol. 1, Issue 3, 2012 · pp. 1–6 Read article
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Determination of Magnetic Properties of Cobalt Films Using Second Order Perturbed Heisenberg Hamiltonian
Abstract: The magnetic properties of hexagonal closed packed structured ferromagnetic cobalt films were investigated by means of second order perturbed Heisenberg Hamiltonian. First the number of nearest neighbors and the constants arisen from the partial summation of the dipole interactions of the structure of cobalt were calculated using some special algorithms. Minimization of the energy difference between the easy and hard direction of a memory device is very important. When the …
Published in Research & Reviews : Journal of Physics · Vol. 1, Issue 1, 2012 · pp. 16–23 Read article
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article