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A New Generalized Morse Potential Function for Calculating Cohesive Energy of Nanoparticles
Energies, 2020 A new generalized Morse potential function with an additional parameter m is proposed to calculate the cohesive energy of nanoparticles. The calculations showed that a generalized Morse potential function using different values for the m and α parameters
Omar M. Aldossary, Anwar Al Rsheed
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Bulk modulus for Morse potential interaction with the distribution function based
Chemical Thermodynamics and Thermal Analysis, 2022 The bulk modulus is a significant coefficient for the study of the compressible behaviour of the materials in the bulk case. The bulk moduli can be determined via the experimental method by measuring of the elastic parameters, via the semi-empirical ...
Marwan Al-Raeei
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The topology of spaces of morse functions on surfaces [PDF]
Mathematical Notes, 2012 Let \(M\) be a compact smooth orientable two dimensional surface whose boundary is partitioned into positive and negative circles, \(\partial M =\partial ^+M\cup \partial^-M\). Let \(F=F(M)\) denote the space of Morse functions on it having at least \(\chi (M)+1\) labeled and numbered critical points, and let \(\mathbb F = \mathbb F (M)\subset F=F(M)\)
E A Kudryavtseva, Kudryavtseva E A
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Discrete Morse Functions and Watersheds
Journal of Mathematical Imaging and Vision, 2023 Abstract Any watershed, when defined on a stack on a normal pseudomanifold of dimension d, is a pure (d-1)-subcomplex that satisfies a drop-of-water principle. In this paper, we introduce Morse stacks, a class of functions that are equivalent to discrete Morse functions.
Bertrand, Gilles +2 more
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On the maximum number of period annuli for second order conservative equations
Mathematical Modelling and Analysis, 2021 We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity.
Armands Gritsans, Inara Yermachenko
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Reversing orientation homeomorphisms of surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 Let $M$ be a connected compact orientable surface, $f:M\to \mathbb{R}$ be a Morse function, and $h:M\to M$ be a diffeomorphism which preserves $f$ in the sense that $f\circ h = f$. We will show that if $h$ leaves invariant each regular component of each
Iryna Kuznietsova, Sergiy Maksymenko
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Indonesian Journal of Chemistry, 2021 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.
Redi Kristian Pingak +3 more
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Level Sets of Weak-Morse Functions for Triangular Mesh Slicing
Mathematics, 2020 In the context of CAD CAM CAE (Computer-Aided Design, Manufacturing and Engineering) and Additive Manufacturing, the computation of level sets of closed 2-manifold triangular meshes (mesh slicing) is relevant for the generation of 3D printing patterns ...
Daniel Mejia-Parra +4 more
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Anais da Academia Brasileira de Ciências, 2023 Our research focuses on studying magnon dynamics in a Morse lattice. We used a Heisenberg Hamiltonian to represent the spins while a Morse formalism governed the lattice deformations.
MARCONI SILVA SANTOS JUNIOR +2 more
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Umbilical Submanifolds and Morse Functions [PDF]
Nagoya Mathematical Journal, 1972 Let Mn be a differentiable manifold (of class C∞). By a Morse function on Mn we mean a differentiable function whose critical points are all non-degenerate. If f is an immersion of Mn into a Euclidean space Rm, we may obtain Morse functions on Mn in the following way.
Nomizu, Katsumi, Rodríguez, Lucio
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