DOSEN PROFIL LENGKAP

In classical mechanics, anharmonicity is the deviation of a system from being a harmonic oscillator. An oscillator that is not oscillating in harmonic...

In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly...

to an anharmonic oscillator; the observation of overtones is only possible because vibrations are anharmonic. Another consequence of anharmonicity is that...

Lyddane–Sachs–Teller relation applicable in crystals where the phonons are affected by anharmonic damping has been derived in Ref. and reads as | ω LO | 2 | ω TO | 2 =...

framework to successfully explain the energy levels of a one-dimensional anharmonic oscillator. The Umdeutung paper was followed by another paper by Max Born...

quartic potential is that of a perturbed simple harmonic oscillator or pure anharmonic oscillator having a purely discrete energy spectrum. The fourth type of...

are canonical basis vectors in Z d {\displaystyle \mathbb {Z} ^{d}} . Anharmonic Hamiltonians with on-site and multiple-site perturbations were considered...

decrease the sensitivity to charge noise, while maintaining a sufficient anharmonicity for selective qubit control". The transmon achieves its reduced sensitivity...

3Nk_{\text{B}}T=3PV+2\pi N\rho \int _{0}^{\infty }r^{3}U'(r)g(r)\,dr.} An anharmonic oscillator (in contrast to a simple harmonic oscillator) is one in which...

of High-Pressure Solid Molecular Hydrogen: A Quantum Monte Carlo and Anharmonic Vibrational Study". Physical Review Letters. 112 (16) 165501. arXiv:1403...

characteristically impulse-like, that is to say, almost instantaneous, sharp, anharmonic sound. On magnetic tape recordings, clicks can occur when switching from...

higher temperatures the Rayleigh-type scattering regime is obscured by the anharmonic damping (typically with a ~λ−2 dependence on wavelength), which becomes...

S2CID 32996610. Serry, F.M.; Walliser, D.; MacLay, G.J. (1995). "The anharmonic Casimir oscillator (ACO)-the Casimir effect in a model microelectromechanical...

to realistic problems, so Heisenberg turned to a simpler example, the anharmonic oscillator. The dipole oscillator consists of a simple harmonic oscillator...

Yoshiasa, A.; Koto, K.; Kanamaru, F.; Emura, S.; Horiuchi, H. (1987). "Anharmonic thermal vibrations in wurtzite-type AgI". Acta Crystallographica Section...

for thermal conductivity in high temperatures accordingly. Describing anharmonic effects is complicated because an exact treatment as in the harmonic case...

inverse map (a projective representation of S3) can be realized by the anharmonic group, and more generally yields an embedding S3 → PGL(2, q) for all fields...

2022-07-13. Tanaka, Takehiko; Morino, Yonezo (1970). "Coriolis interaction and anharmonic potential function of ozone from the microwave spectra in the excited...

of sound is also slightly sensitive, being subject to a second-order anharmonic effect, to the sound amplitude, which means there are non-linear propagation...

ground state. However, vibrations of real molecules always have some anharmonicity, which causes coupling between different vibrational modes that in turn...

such as the existence of unbound states. It also accounts for the anharmonicity of real bonds and the non-zero transition probability for overtone and...

solid with just one phonon, because the crystal vibration is slightly anharmonic. However, in many materials, the elementary excitations are very close...

momentum. Examples include electron-lattice potential scattering or an anharmonic phonon-phonon (or electron-phonon) scattering process, reflecting an electronic...

set of the Hamiltonian. Long-time evolution of a mixed state ρ in an anharmonic potential well. Marginals are plotted on the right (p) and top (x). An...

zero. This behavior is an extension of the harmonic potential into the anharmonic regime. The behavior of thermal phonons is similar to the photon gas produced...

force, i.e. the light's electric field. But because the electron is in an anharmonic potential (black curve), the electron motion is not sinusoidal. The three...

Quantum Monte Carlo methods together with a first-principles treatment of anharmonic vibrational effects have then been used to obtain the relative Gibbs free...

Stephenson, J.C.; King, D.S. (1990). "Overtone-excited HN 3 (X1A') - Anharmonic resonance, homogeneous linewidths, and dissociation rates". Journal of...

behaviour in a semiclassical way is to use a phenomenological model: an anharmonic oscillator can model the forced oscillations of a bound electron inside...

within the interior may act to transmit such signals. ASD database Anharmonicity Competitive inhibition Cooperative binding Enzyme kinetics Protein dynamics...

The effect arises when light–matter interactions introduce sufficient anharmonicity into the excitation spectrum of an optical mode, preventing resonant...

centers for incoming light will be due primarily to any effects of anharmonicity within the ordered lattice. Light transmission will be highly directional...

is AD227529, as mentioned in Episode 31, "Soul Survivor". KITT's Voice Anharmonic Synthesizer and Etymotic Equalizer allow his logic module to speak and...

force, i.e. the light's electric field. But because the electron is in an anharmonic potential energy environment (black curve), the electron motion is not...

overtones are forbidden in both infrared and Raman spectra. However, when anharmonicity is taken into account, the transitions are weakly allowed. In Raman...

vibrational motion is anharmonic. An empirical expression that fits the energy curve of a diatomic molecule undergoing anharmonic extension and compression...

translated (although difficult to read, it contains an example for the anharmonic oscillator): Sources of Quantum mechanics B.L. Van Der Waerden [2] The...

amplitude and κ {\displaystyle \kappa } is a constant defined by the anharmonic coefficients. Second, the shape of the resonance curve is distorted (foldover...

Millot M, Tena-Zaera R, Munoz-Sanjose V, Broto JM, Gonzalez J (2010). "Anharmonic effects in ZnO optical phonons probed by Raman spectroscopy". Applied...

all molecules are in the ground vibrational state v = 0. Including anharmonicity the vibrational energy can be written as: E v = h ν e ( v + 1 2 ) +...

ISBN 978-1-4612-0047-5 (2003) Sergei Winitzki, "Perturbation theory for anharmonic oscillations", Lecture notes, LMU (2006) Michael A. Box, "Radiative perturbation...

16. Oliva, Maxime; Kakofengitis, Dimitris; Steuernagel, Ole (2018). "Anharmonic quantum mechanical systems do not feature phase space trajectories". Physica...

law, and is fairly accurate although it does not take into account anharmonicity, which causes the heat capacity to rise further. The total heat capacity...

{\displaystyle \{0,1,\infty \}} (as an unordered set) is a subgroup known as the anharmonic group. The equation w = a z + b c z + d {\displaystyle w={\frac {az+b}{cz+d}}}...

large anharmonicity. In this context, anharmonicity refers to the unequal spacing of energy levels in a superconducting circuit. Large anharmonicity is beneficial...

Yu.; Filatov, S.; Yakovleva, O. (2007). "Li2B4O7 Crystal structure in anharmonic approximation at 20, 200, 400 and 500 °C". Journal of Alloys and Compounds...

±1 (here written as fractional linear transformations), known as the anharmonic group: order 1: z {\displaystyle z} order 2: 1 − z , 1 / z , z / ( z −...

University of New Brunswick University of Toronto Curtin University Thesis Anharmonic Analysis and Its Applications in Geophysics  (1967) Academic advisors...

^{2}}{\omega _{D}}}} where γ {\displaystyle \gamma } is the Gruneisen anharmonicity parameter, μ is the shear modulus, V0 is the volume per atom and ω D...

Bond lengths, harmonic frequency, vibrational anharmonicity and bond-dissociation energies of MH and MAu (M = an alkaline earth metal). Data for UbnH...

convergence of the Møller–Plesset series the reaction path Hamiltonian Anharmonic spectroscopic and thermodynamic properties using higher derivative methods...

molecular energy differential is within 3 cm−1 when accounting for N 2 anharmonicity, centrifugal distortion and vibro-rotational interaction, which is more...

polarizability-autocorrelation Fourier transform method naturally integrates anharmonic coupling, temperature broadening, and the polarization effects. It is...

accounting for pressure effects, nuclear geometry, and corrections for anharmonicity and quantum mechanical effects. For example, hydrogen isotope exchange...

Leslie E. (1980). "Electrostriction and Its Interrelation with Other Anharmonic Properties of Materials". Japanese Journal of Applied Physics. 19 (4)...

Approximately harmonic Tuned percussion Not harmonic Untuned percussion Anharmonicity Dissonance Pseudo-octave Subharmonic How harmonic are harmonics? by...

modular group on λ ( τ ) {\displaystyle \lambda (\tau )} is that of the anharmonic group, giving the six values of the cross-ratio: { λ , 1 1 − λ , λ − 1...

Legarreta, Andrés E.; Di Gregorio, Daniel E. (September 2008). "Measuring anharmonicity in a large amplitude pendulum". American Journal of Physics. 76 (9):...

Delbourgo and White, she explained the anharmonic Grassmann oscillator, which is the fermionic simple of the common anharmonic oscillator. She went ahead to create...

flux/phase states. This architecture has long coherence times and high anharmonicity (or nonlinearity), both of which are important for successful qubit...

heat capacity may exceed R by modest amounts, due to contributions from anharmonic vibrations in solids, and sometimes a modest contribution from conduction...

and thermodynamic theories, hydrodynamic and interfacial instabilities, anharmonic lattices and electronics. Because of his research achievements and international...

an external electric field. The cause of electrostrictive is linked to anharmonic effects. Positive ions will be displaced in the direction of the field...

Linsay, Paul S. (1981). "Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator". Physical Review Letters. 47 (19): 1349–1352. Bibcode:1981PhRvL...

states closely resembling the model and higher states deviating due to anharmonicity. The Hooke's atom is a simple model of the helium atom using the quantum...

like a non-linear LC circuit. Since this oscillator is nonlinear, it is anharmonic, and allows the first two energy levels of the circuit to be addressed...

model used to determine the lattice thermal conductivity, κL, the highly anharmonic behavior due to phonon scattering results in a large thermal resistance...

intermolecular electronic coupling, the added dimensionality will resolve anharmonic responses not identifiable in linear spectra. A typical 2D pulse sequence...

observed long-time nearly recurrent behavior of a one-dimensional chain of anharmonic oscillators, in contrast to the rapid thermalization that had been expected...

connection with the porisms are: the fundamental theorem that the cross or anharmonic ratio of a pencil of four straight lines meeting in a point is constant...

Other shapes are not generally used, as they tend to produce dissonant, anharmonic overtones and an unmusical sound. Instruments may consist of a primarily...

kinetics . Table 8 shows anharmonicity constant measurements for the various states. The measurements for constants of anharmonicity for states X, C and D...

various model systems (such as coupled chaotic mappings and weakly coupled anharmonic oscillations). He also did research on the turbulent flow problem in hydrodynamic...

calculated unperturbed frequency of 100 is 1337 cm−1, and, ignoring anharmonicity, the frequency of 0200 is 1334 cm−1, twice the 667 cm−1 of 0110. The...

2014). "Lattice-dynamical model for the filled skutterudite: Harmonic and anharmonic couplings". Physical Review B. 89 (22) 224304. Bibcode:2014PhRvB..89v4304F...

from these special forms. For this reason, Heisenberg investigated the anharmonic oscillator, with Hamiltonian H = 1 2 P 2 + 1 2 X 2 + ε X 3   . {\displaystyle...

cases are qualitatively different. In 1D thermal expansion is caused by anharmonicity of interatomic potential only. Therefore, the sign of thermal expansion...

harmonic oscillator (QHO) approximation or a Dunham expansion when anharmonicity is important. The vibrational energy levels according to the QHO are...

initiating the use of cross-ratios: "He was the first to introduce the cross (anharmonic) ratio of four points of a line taking account of its sign, thereby sharpening...

equations, oblate and prolate spheroidal wave equations, and equations with anharmonic potentials. Methods of matched asymptotic expansions have been developed...

{\displaystyle {\hat {F}}_{j}^{MA}} are the electric anharmonicity (EA) and mechanical anharmonicity (MA), respectively, defined as F ^ j E A = 1 2 M j...

total Grüneisen parameter is the sum of all γis. It is a measure of the anharmonicity of the system and closely related to the thermal expansion. Dove, Martin...

and all its potential energy converts to kinetic energy of the mass. Anharmonicity Critical speed Effective mass (spring–mass system) Fradkin tensor Normal...

topics. Quantum mechanics and path integral treatment of periodic and anharmonic potentials. Macroscopic spin systems (like ferromagnetic particles) with...

and imaginary transformations are two transformations in a group (D3 or anharmonic group) of six transformations. If μ R ( m ) = 1 / m {\displaystyle \mu...

bond. The vibrational term values G ( v ) {\displaystyle G(v)} , for an anharmonic oscillator are given, to a first approximation, by G ( v ) = ω e ( v +...

\alpha }\right]} where χ = 35 − 62 {\displaystyle \chi =35-62} pN is an anharmonic parameter arising from the coupling between the exciton and the lattice...

library Resources in other libraries Herschbach, D. R. & V. W. Laurie. "Anharmonic Potential Constants and Their Dependence Upon Bond Length", University...

background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above a certain velocity, but only up to a maximum amplitude...

Diffraction Study of Rhenium Fluorides. II. Structure, Pseudorotation, and Anharmonic Coupling of Modes in ReF7" (PDF). The Journal of Chemical Physics. 53...

refers to the Cayley–Klein metric, which uses stretch coordinates in anharmonic ratios which determine distance by using logarithm. Russell, Bertrand...

overwhelmingly observed and this fact has been attributed both to metal-ligand anharmonic interactions and 3d-4s hybridisations. Given that all the directions containing...

quasi-exactly-solvable (Schrödinger) operators. The best known example is the sextic QES anharmonic oscillator with the Hamiltonian { H } = − d 2 d x 2 + a 2 x 6 + 2 a b...

can offer structural information such as vibrational mode coupling, anharmonicities, along with chemical dynamics such as energy transfer rates and molecular...

"Complex saddle points versus dilute-gas approximation in the double-well anharmonic oscillator". Nuclear Physics B. 185 (1): 47–60. Bibcode:1981NuPhB.185...

atom-like energy spectrum with unequally spaced energy levels. This anharmonicity is crucial for selective addressing of specific transitions while avoiding...

"Superconducting phase qubit based on the Josephson oscillator with strong anharmonicity". Physical Review B. 80 (21) 214535. arXiv:0908.3937. Bibcode:2009PhRvB...

with acoustic modes of the lattice, and (iii) weakly coupled because the anharmonic energy is small compared with the phonon bandwidth. It has been shown...

successfully trapped, for example, in linear Paul traps by making use of anharmonic axial potentials). Another platform for implementing the boson sampling...

"Millimeter-wave spectrum of germanium dichloride GeCl2. Equilibrium structure and anharmonic force field". Journal of Molecular Structure. 352–353: 407–415. Bibcode:1995JMoSt...

doi:10.1002/wcms.1165. Bender, Carl M.; Wu, Tai Tsun (1973-03-15). "Anharmonic Oscillator. II. A Study of Perturbation Theory in Large Order". Physical...

Kratzer extended the theory of diatomic molecular spectroscopy by including anharmonic forces between the nuclei, which changed the oscillation frequencies....

similar to a Debye–Waller factor, κ {\displaystyle \kappa } is the anharmonicity constant and η {\displaystyle \eta } a phase factor which is important...

flexible. In the model of Toukan and Rahman, the O–H stretching is made anharmonic, and thus the dynamical behavior is well described. This is one of the...

; Breidung, J.; Thiel, W.; Bürger, H. (10 November 1999). "Ab initio anharmonic force field, spectroscopic parameters and equilibrium structure of trifluorosilane"...

answer. Because it is a statistical sampling method, PIMC can take anharmonicity fully into account, and because it is quantum, it takes into account...

also proved the convergence of Padé's approximates for the levels of the anharmonic oscillator. He treated the relativistic effects on the instability of...

_{e}\chi _{e}\left(v+{\tfrac {1}{2}}\right)^{2}\,} where χe is an anharmonicity constant. This is, in effect, a better approximation to the Morse potential...

asymptotic methods. In his work[citation needed] a simple example of an anharmonic oscillator driven by a superposition of incoherent sinusoidal oscillations...

WKB approximation Dorey, Patrick; Tateo, Roberto (24 September 1999). "Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations"...

In reality, this expression has to be modified for the effects of anharmonicity of the vibrations, for centrifugal distortion and for Coriolis coupling...

bounces or bubbles—of Schrödinger equations for various periodic and anharmonic potentials. Asymptotic expansions of periodic ellipsoidal wave functions...

doi:10.1063/1.1704163. M. Oliva, D. Kakofengitis, O. Steuernagel (2018). "Anharmonic quantum mechanical systems do not feature phase space trajectories". Physica...

Samwer, K.; Zaccone, A. (2017). "Disentangling interatomic repulsion and anharmonicity in the viscosity and fragility of glasses". Physical Review B. 95 (10)...

2017. Retrieved 16 December 2011. Baliunas, S; et al. (29 April 2005). "Anharmonic and Standing Dynamo Waves: Theory and Observation of Stellar Magnetic...

contrast to phononics, however, large amplitudes oscillation reveal the anharmonicity of the crystal lattice, which theoretical treatment requires the incorporation...

Fellowship Award, National Research Council of Canada, 1967. Theory of Anharmonic Crystals, (K. N. Pathak) Phys. Rev. 139 A, 1569-1580 (1965). Electron...

interaction with Geomag and Tracker Video Analysis: static equilibrium and anharmonic dynamics". European Journal of Physics. 33 (2). IOP Publishing: 385–395...

2Σ+) is 1765 cm−1 and for neutral BF (X 1Σ+) it is 1402.1 cm−1. The anharmonicity of BF is 11.84 cm−1. BF can react with itself to form polymers of boron...

Electron-electron scattering (coulombic interaction) and phonon-phonon (anharmonic) scattering are much faster than electron-phonon scattering. So, the temperature...

Nature Communications 6 (2015): 7026. Lunghi, A., et al. "The role of anharmonic phonons in spin relaxation." Nature Communications 8 (2017): 14620. Sanvito...

stochastic fluctuations of chemical bonds and bond angles. Others are anharmonic, such as sidechains that jump between separate discrete energy minima...

optical phonons have a short lifetime (they split into two due to anharmonicity) and therefore they add some important complications. Here we can note...

physics phenomenology, two-dimensional quantum electrodynamics, analysis of anharmonic oscillator in quantum mechanics, scattering theory, study of dispersion...

ISBN 978-981-4397-73-5, pp. 524–527; J.-Q. Liang and H.J.W. Müller-Kirsten, Anharmonic Oscillator Equations: Treatment Parallel to Mathieu Equation, quant-ph/0407235;...

Jayatilaka, Dylan; Willetts, Andrew (1990-08-24). "Ab initio calculation of anharmonic constants for a transition state, with application to semiclassical transition...

sign at the two crystal surfaces. Overtones are to be distinguished from anharmonic side bands (spurious modes), which have nodal planes perpendicular to...

{\displaystyle {\hat {F}}_{j}^{MA}} are the electric anharmonicity (EA) and mechanical anharmonicity (MA) operators, respectively. These operators are defined...

Steuernagel, O. (2017). "Wigner's quantum phase space current in weakly anharmonic weakly excited two-state systems" European Physical Journal Plus 14.07...

x-axis. In practice, such plots often give curves because of unaccounted anharmonicity in the potential; furthermore, the low population of the higher states...

[Cu2Se2]−2 conducting and [Bi2O2]+2 insulating layer, as well as the anharmonic crystal lattice structure, may account for the substance's low thermal...

Retrieved 2019-11-19. MacDonald, D. K. C.; Roy, S.K. (1955), "Vibrational Anharmonicity and Lattice Thermal Properties. II", Phys. Rev., 97 (3): 673–676, Bibcode:1955PhRv...

ISBN 3-527-30673-0. Lowndes, R. P.; Perry, C. H. (1973). "Molecular structure and anharmonicity in thallium iodide". The Journal of Chemical Physics. 58 (1): 271–278...

longitudinal vibrations of the DNA intertwined helices which were found to be anharmonic rather than harmonic as often assumed in quantum dynamic simulations of...

order term is primarily responsible for the phonon dispersion, while the anharmonic (third order and higher) terms are responsible for thermal expansion as...

Hanyu; Errea, Ion; Xie, Yu (20 November 2025). "The impact of ionic anharmonicity on superconductivity in metal-stuffed B-C clathrates". npj Computational...

(Ghil et al., 2002). Such a pair can represent efficiently a nonlinear, anharmonic oscillation. This is due to the fact that a single pair of data-adaptive...

1990 Methods of Solution of the Schrödinger-Equations for a Class of Anharmonic and Singular Potentials 1990 on the Interpretation of the Spinor Phase-Change...

ignores any bond stretching due to vibrational energy in the bond (anharmonicity in the potential). An arbitrarily shaped rigid rotor is a rigid body...

doi:10.1016/S0550-3213(96)00516-0. Dorey, Patrick; Tateo, Roberto (1999). "Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations"...

Geoffrey Wilkinson John Overend University of Minnesota Vibrational anharmonicity in polyatomic molecules Fausto Arturo Ramirez SUNY Stony Brook Chemical...

wavelength lattice vibrations in terms of electrical and mechanical anharmonicity. His fundamental studies of infrared photoconductivity due to the photoionization...

Retrieved 2025-07-13. Blinc, Robert (1958). "The Problem of Negative Anharmonicity and the Nature of the Hydrogen Bond in Potassium Hydrogen Fluoride"...

hydrogen-bonded systems, and the effect of hydrogen bonds on vibrational anharmonicity. In electronic spectroscopy he specialized in the far ultraviolet region...

)D(\omega )^{2}}}} where ζ 2 {\displaystyle \zeta _{2}} is the first anharmonicity coefficient. It is easy to show that we can thus express χ 2 {\displaystyle...

surpassing the thresholds of spontaneous phonon emission, phonon leakage, anharmonicity, and scattering. The proposed micropillar distributed Bragg reflector...

crystal structures. It has been extended by P. N. Keating to include anharmonic effects (and calculate third-order elastic constants), and many other...

investigated in axion and axion-like particle models, where the periodic or anharmonic structure of the scalar potential can support long-lived oscillon configurations...

all the points, curves, divisors, and so on that one is interested in. anharmonic ratio Cross-ratio antipoint One of a pair of points constructed from two...

Vincenzo Grecchi: Buslaev, V.; Grecchi, V. (1993). "Equivalence of unstable anharmonic oscillators and double wells". Journal of Physics A: Mathematical and...

ISSN 0567-7394. - Rouse, K. D.; Willis, B. T. M.; Pryor, A. W. (23 January 1968). "Anharmonic contributions to the Debye–Waller factors of UO2". Acta Crystallographica...

O; Khalil M; Demirdöven N; Tokmakoff A (1 March 2001). "Vibrational anharmonicities revealed by coherent two-dimensional infrared spectroscopy". Physical...

to the Jaynes-Cummings ladder of dressed states, and the associated anharmonicity in the energy spectrum. The last term models coupling between the cavity...

spectroscopy; investigated in particular the effect of hydrogen bonding on the anharmonicity of vibrations; made also applications of biological interest received...

no. 12, pp. 2848-2851. 15 Dec. 1979 doi:10.1107/S0567740879010803 Anharmonicity in GaTe layered crystals, A. Aydinli, N. M. Gasanly, A. Uka, H. Efeoglu...

amplitude of vibration between the two atoms, κ {\displaystyle \kappa } the anharmonicity constant (correcting the vibration description for deviations from a...

material?". New Atlas. Sharma, Keshav; Costa, Nathalia (2020-08-31). "Anharmonicity and Universal Response of Linear Carbon Chain Mechanical Properties...

Muenchen 1989: Prize of the Joint Institute for Nuclear Research for work on anharmonic models of high-temperature superconductors, prize shared with V. L. Aksenov...

only permute a, b and c. The cross ratio transforms according to the anharmonic group of order 6 generated by the Möbius transformations sending λ to...

Many-Body Potential Energy Surface for HCl Clusters and Its Application to Anharmonic Spectroscopy and Vibration–Vibration Energy Transfer in the HCl Trimer"...

"Intrinsic Low Thermal Conductivity and Phonon Renormalization Due to Strong Anharmonicity of Single-Crystal Tin Selenide". Nano Letters. 19 (8): 4941–4948. Bibcode:2019NanoL...

Angular size redshift relation Angular spectrum method Angular velocity Anharmonicity Anil Bhardwaj Animal echolocation Anirudh Singh (activist) Anisothermal...

Crystal Chemistry, Thermal Stability Trends, Topology, and Vibrational Anharmonicity". Inorganic Chemistry. 62 (1): 30–34. doi:10.1021/acs.inorgchem.2c03680...

"Aperiodic Electrophoresis. Directed drift of dispersed particles in a uniform anharmonic alternating electric field". Kolloidnyi Zh. 49 (5): 752–755. Mishchuk...

Earth works. The technical terms for the subjects of his studies are anharmonicity, asphericity, anelasticity, as well as anisotrophy. In other words,...

anharmoniques et non-lineaires des vibrations des noyaux atomiques [Study of anharmonic and non-linear behaviours of vibrations of atomic nuclei], directed by...

respect to neighboring atoms, i.e. Hooke's law holds. Higher order anharmonicity terms can be accounted by using perturbative methods. The positions...

with a novel type of the porous double-layered borate anion and strong anharmonicity of the "guest" sublattice". Solid State Sciences. 125 106831. doi:10...

For the storage ring case with distributed sextupoles, one can see anharmonicity "Normal Forms + Simple Pendulum Example". mad.web.cern.ch. Archived...