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Wyszukujesz frazę "harmonic oscillator" wg kryterium: Temat


Wyświetlanie 1-6 z 6
Tytuł:
„Ab initio” study of helium atoms immobilization in UO2 crystals
Autorzy:
Dąbrowski, L.
Szuta, M.
Powiązania:
https://bibliotekanauki.pl/articles/146654.pdf
Data publikacji:
2012
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
uranium
dioxide
DFT+U
LDA
GGA
ABINIT
over-barrier jumps
incorporated helium
harmonic oscillator
Opis:
We present density functional theory (DFT) calculation results concerning the uranium dioxide crystals with a helium atom incorporated in the octahedral interstitial position. "Ab initio" calculations were performed using the Wien2k program package. For comparison, a pseudo-potential approach in the generalized gradient approximation was applied using the ABINIT program package. To compute the unit cell parameters 13 atom super-cell was chosen. Parameters of the potential barrier, which the helium atom has to overcome while jumping to the next octahedral interstitial position, were calculated by the help of both the program packages. The results, obtained using two different program packages, are shown in the table and presented graphically. For the so described parameters, the quantum mechanical movement of the helium atom around the equilibrium position is considered. The parameters of Schrödinger's equation are collected in Table 2, while the results of mean square deviation and thermal occupation of energetic levels are presented in a graph. It is established that the helium atoms are located (with an accuracy of several percent of lattice constant) nearby the equilibrium position and form a local bound state. Applying a two site-model, we evaluated the time for an over-barrier jump. Graphically presented results show that the helium atom over-barrier jump is not possible even for temperatures as high as 1200 K. Influence of potential barrier height on the jump time was also considered.
Źródło:
Nukleonika; 2012, 57, 3; 337-343
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synteza oscylatorów harmonicznych na bazie równań impedancyjnych
Synthesis of sinusoidal oscillator based on impedance equations
Autorzy:
Topór-Kamiński, L.
Powiązania:
https://bibliotekanauki.pl/articles/151158.pdf
Data publikacji:
2008
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
oscylator harmoniczny
równania impedancyjne
wzmacniacze elektroniczne
harmonic oscillator
impedance equations
electronic amplifier
current conveyor
Opis:
Opisano koncepcje syntezy oscylatorów harmonicznych w oparciu o równania impedancyjne opisujące ich część rezystancyjno aktywną. Podano ogólną postać równania charakterystycznego oraz relacji opisujących warunek oscylacji i wartość pulsacji. Na ich podstawie zaproponowano model oscylatora z dwoma wzmacniaczami prądowymi i dwoma transrezystancyjnymi. Pokazano możliwość realizacji oscylatorów z dwoma wielozaciskowymi konwejerami prądowymi, oraz wszystkimi elementami RC uziemionymi. Przedstawiono ich wersje kwadraturowe o wyjściach napięciowych i prądowych. Umożliwiają one także niezależne strojenie warunku wzbudzenia oraz pulsacji wytwarzanych oscylacji.
Concept of the synthesis of sinusoidal oscillators based upon impedance equations with separate resistance and reactance parts, has been described. Its general form of characteristic equation and condition of oscillation and frequency of oscillation formulas, have been demonstrated. Basis on its oscillator model with two current amplifier and two transresistance amplifier, has been proposed. Possibility of oscillators realizations with two multi-terminal current conveyors and all grounded RC elements, have been demonstrated. Theirs two quadrature version with voltage and current outputs, have been presented. They enable also independently tuning of oscillation condition and oscillation frequency.
Źródło:
Pomiary Automatyka Kontrola; 2008, R. 54, nr 2, 2; 76-79
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A generalized fractional calculus of variations
Autorzy:
Odzijewicz, T.
Malinowska, A. B.
Torres, D. F. M.
Powiązania:
https://bibliotekanauki.pl/articles/205955.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
generalized fractional operators fractional variational analysis
Euler-Lagrange equations
natural boundary conditions
Noether's theorem
damped harmonic oscillator
Opis:
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, transversality conditions for free boundary value problems, and a generalized Noether type theorem.
Źródło:
Control and Cybernetics; 2013, 42, 2; 443-458
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adequate Theory of Vertical Motion of a Mass-Elastic System
Autorzy:
Pluta, Z.
Hryniewicz, T.
Powiązania:
https://bibliotekanauki.pl/articles/412071.pdf
Data publikacji:
2013
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Theory of oscillation motion
Vertical mass-elastic system
Free harmonic oscillator motion
potential field
force characteristics
Source equation of path/way length
time constant
Opis:
The paper covers an adequate theory on vertical motion of the mass-elastic system. This system is an oscillator with the motion being a free harmonic motion. The first extended link of the consideration presents a critical analysis of the existent knowledge referred to this subject. Then the energetic states of the oscillator have been determined. Next the force characteristics of the free harmonic motion of the oscillator are presented. A general source equation of the path/way length and the resulting detailed forms, signalizing extensive possibilities to build up the characteristics, have been presented. Finally the connections between the characteristics of real and simulative motions were derived. It should be added that this first mentioned motion is the subject of adequate description presented here. The simulated motion is referred to the existent classical theory which has been subjected under a critical consideration.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2013, 6; 116-136
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O zależnościach pomiędzy aromatycznością i efektem podstawnikowym w układach jednopierścieniowych
On relation between substituent effect and aromaticity in monocyclic systems
Autorzy:
Szatyłowicz, Halina
Krygowski, Tadeusz Marek
Powiązania:
https://bibliotekanauki.pl/articles/171709.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Chemiczne
Tematy:
aromatyczność
HOMA
NICS
efekt podstawnikowy
stałe Hammetta
metody chemii kwantowej
aromaticity
harmonic oscillator model of aromaticity
nucleus independent chemical shift
substituent effect
Hammett constants
quantum chemistry modeling
Opis:
Aromaticity/aromatic and substituent/substituent effects belong to the most commonly used terms in organic chemistry and related fields. They are used for more than a century, and so far are the subject of thousands publications a year. The quantitative description of the aromaticity of planar π-electron cyclic molecules is based on four criteria: (i) they are more stable than their acyclic unsaturated analogues, (ii) bonds have intermediate lengths between those for the single and double ones, (iii) external magnetic field induces π-electron ring current, and (iv) aromatic systems prefer reactions in which the π-electron structure is preserved. conserved. Quantitative characteristics based on these criteria, named as aromaticity indices, allow to relate aromaticity to the substituent effect. This latter can be described using either traditional Hammett-type substituent constants or characteristics based on quantum-chemistry. For this purpose, the energies of properly designed homodesmotic reactions and electron density distribution are used. In the first case, a descriptor named SESE (substituent effect stabilization energy) is obtained, while in the second case – cSAR (charge of the substituent active region), which is the sum of the charge of the ipso carbon atom and the charge of the substituent. The application of these substituent effect descriptors to a set of π-electron systems, such as: benzene, quinones, cyclopenta- and cyclohepta-dienes, as well as some azoles, allowed to draw the following conclusions: (i) The less aromatic the system, the stronger the substituent influences the π-electron system. Highly aromatic systems are resistant to the substituent effect, in line with the organic chemistry experience that aromatic compounds dislike reactions leading to changes in the π-electron structure of the ring. (ii) Intramolecular charge transfer (resonance effect) is privileged in cases where the number of bonds between the electron-attracting and electron-donating atoms is even. These effects are much weaker when this number is odd. Classically, it may be related to traditional para vs meta substituent effects in benzene derivatives. We should note that in electron-accepting groups, such as CN or NO2 (and others), electron-accepting atoms are second counting from Cipso. (iii) In all cases, when the substituent changes number of π-electrons in the ring in the direction of 4N+2, its aromaticity increases, for example electron-donating substituents in exocyclic substituted pentafulvene, or a halogen atom in complexes with heptafulvene.
Źródło:
Wiadomości Chemiczne; 2019, 73, 3-4; 243-261
0043-5104
2300-0295
Pojawia się w:
Wiadomości Chemiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Steady state vibration of the periodically forced and damped pure nonlinear two-degrees-of-freedom oscillator
Autorzy:
Cveticanin, Livija
Zukovic, Miodrag
Cveticanin, Dragan
Powiązania:
https://bibliotekanauki.pl/articles/280690.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
non-harmonic excitation
force identification
steady-state motion
van der Pol oscillator
Duffing oscillator
Opis:
In the paper, a pure nonlinear and damped two-mass oscillator excited with a periodical force is considered. The oscillator is modelled with a system of two coupled second order nonlinear and non-homogenous equations. Using the model, two problems are investigated: one, identification of the excitation force for the known vibrating response of the system, and the second, determination of vibrations of the system excited with the known periodical force. Using the steady-state motion of the nonlinear oscillator, a method for identification of the excitation force is developed. For the pure nonlinear oscillator, it is obtained that the forcing function has the form of the Ateb function. However, if the excitation force is known, the procedure for computing the steady-state vibration of the system is introduced. The solution corresponds to steady-state vibrations of the free oscillator, but the amplitude and phase are assumed to be time variable. The averaged solutions are obtained for the pure nonlinear oscillator with an additional linear elastic force and for the van der Pol oscillator. Analytically obtained solutions are compared with numerical ones. They are in good agreement.
Źródło:
Journal of Theoretical and Applied Mechanics; 2019, 57, 2; 445-460
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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