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Journal articles on the topic 'Incommensurable phase'

Author: Grafiati

Published: 25 May 2024

Last updated: 19 July 2025

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1

Gadzhiev, B. R., Mir-Gasan Yu Seidov, and V. R. Abdurakhmanov. "Low-temperature singularities of elastic moduli of layered TIInS2 crystal." Low Temperature Physics 21, no. 12 (1995): 950–53. https://doi.org/10.1063/10.0033914.

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A model of phase transition is constructed for layered crystals of the TlInS2 type. The temperature dependence of the elastic moduli tensor is obtained for various phases. Theoretical results are compared with experimental data obtained in the vicinity of the sequence of high-symmetry–incommensurable I–incommensurable II–commensurable phase transitions in TlInS2 crystals.

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2

Kubli, Martin, Matteo Savoini, Elsa Abreu, et al. "Kinetics of a Phonon-Mediated Laser-Driven Structural Phase Transition in Sn2P2Se6." Applied Sciences 9, no. 3 (2019): 525. http://dx.doi.org/10.3390/app9030525.

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We investigate the structural dynamics of the incommensurately modulated phase of Sn 2P 2Se 6 by means of time-resolved X-ray diffraction following excitation by an optical pump. Tracking the incommensurable distortion in the time domain enables us to identify the transport effects leading to a complete disappearance of the incommensurate phase over the course of 100 ns. These observations suggest that a thin surface layer of the high-temperature phase forms quickly after photo-excitation and then propagates into the material with a constant velocity of 3.7 m/s. Complementary static structural

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3

Anders, É. E., and S. V. Startsev. "Structure phase transitions in CsDy(MoO4)2." Soviet Journal of Low Temperature Physics 18, no. 7 (1992): 548–51. https://doi.org/10.1063/10.0033237.

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Experimental studies of the temperature dependence of the heat capacity of CsDy(MoO4)2 were carried out in the temperature range 40 to 330 K. Anomalies in Cp (T) indicative of structure rearrangements in the crystal have been found. Reasons for existence of an incommensurable phase between 59 and 42 K are suggested.

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4

Kotovskaya, J. V., and Zh Kobalava. "How to characterize daily profile of pulse blood pressure?" "Arterial’naya Gipertenziya" ("Arterial Hypertension") 12, no. 1 (2006): 59–65. http://dx.doi.org/10.18705/1607-419x-2006-12-1-59-65.

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The aim of this work is studying of double-phase rhythm characteristics of pulse pressure (PP) at untreated patients AH. The absent of night reduce of PP can be the consequent of night incommensurable change of systolic and diastolic pressure at night in comparison with day change. It was revealed two types of incommensurable double-phase rhythm of pulse pressure ( PP) on the basis of database analysis: Type 1 - with night increase of SHP (type 1a with night decrease DBP, type 1b with gap of increase DBP from SBP at night). Type 2 - with decrease of SBP and DBP at night. Ratio of daily index S

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5

Zwanenburg, G., C. P. Keijzers, E. de Boer, and J. C. Krupa. "EPR-study of ThBr4:Pa4+ in the incommensurable phase." Journal of Molecular Structure 173 (January 1988): 397–404. http://dx.doi.org/10.1016/0022-2860(88)80071-1.

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6

Zwanenburg, G., C. P. Keijzers, E. De Boer, and J. C. Krupa. "Simulation of EPR spectra of ThBr8:Pa4+ in the incommensurable phase." Chemical Physics Letters 140, no. 1 (1987): 11–14. http://dx.doi.org/10.1016/0009-2614(87)80407-4.

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7

Almairac, R., M. Siali, S. Vilminot, P. Saint Gregoire, G. Delplanque, and G. Barre. "Phase incommensurable dans le composé mixte (NH4) 2(BeF4)0,82(SO4)0,18." Journal de Physique Lettres 46, no. 23 (1985): 1123–31. http://dx.doi.org/10.1051/jphyslet:0198500460230112300.

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8

FRANCO, H. "WAVELET ANALYSIS OF A NONLINEAR OSCILLATOR TRANSIENT DURING SYNCHRONIZATION." International Journal of Bifurcation and Chaos 06, no. 12b (1996): 2557–70. http://dx.doi.org/10.1142/s0218127496001636.

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A forced nonlinear oscillator can exhibit complex transient spectra even in the absence of chaotic phenomena. Series of evenly spaced lines appear in spectrograms of the numerically computed oscillations. They can be explained by means of a simple model describing the dynamics of the energy exchange between the external oscillating force and the nonlinear system. The resulting amplitude and phase modulations are shown to produce the spectral line structures. Frequencies incommensurable with other present frequencies can be generated by the nonlinear system.

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9

Brown, M. G. "Phase space structure and fractal trajectories in 1½ degree of freedom Hamiltonian systems whose time dependence is quasiperiodic." Nonlinear Processes in Geophysics 5, no. 2 (1998): 69–74. http://dx.doi.org/10.5194/npg-5-69-1998.

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Abstract. We consider particle motion in nonautonomous 1 degree of freedom Hamiltonian systems for which H(p,q,t) depends on N periodic functions of t with incommensurable frequencies. It is shown that in near-integrable systems of this type, phase space is partitioned into nonintersecting regular and chaotic regions. In this respect there is no different between the N = 1 (periodic time dependence) and the N = 2, 3, ... (quasi-periodic time dependence) problems. An important consequence of this phase space structure is that the mechanism that leads to fractal properties of chaotic trajectorie

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10

Новикова, Е. Р. "STUDY OF THE SINGULAR POINTS OF THE FRACTIONAL OSCILLATOR VAN DER POL-DUFFING." Вестник КРАУНЦ. Физико-математические науки, no. 2 (July 20, 2019): 47–54. http://dx.doi.org/10.26117/2079-6641-2019-27-2-47-54.

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В работе проводится исследование на асимптотическую устойчивость точек покоя дробного осциллятора Ван дер ПоляДуффинга. Дробный осциллятор Ван дер Поля Дуффинга представляет собой колебательную систему двух дифференциальных уравнений с производными дробных порядков в смысле ГерасимоваКапуто. Порядки дробных производных характеризуют свойства среды (эффекты памяти), в которой происходит колебательный процесс и могут быть одинаковыми (соизмеримыми) или разными (несоизмеримыми). С помощью теорем для соизмеримой и несоизмеримой систем на конкретных примерах исследуется асимптотическая устойчивость

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11

Липко, О. Д. "STABILITY OF THE REST POINTS FRACTIONAL OSCILLATOR FITZHUGH-NAGUMO." Вестник КРАУНЦ. Физико-математические науки, no. 1 (May 4, 2019): 63–70. http://dx.doi.org/10.26117/2079-6641-2019-26-1-63-70.

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В работе с помощью качественного анализа были исследованы на устойчивость точки покоя дробного осциллятора ФитцХью-Нагумо в соизмеримом и несоизмеримом случаях. Для соответвующей точки покоя, с помощью численного метода теории конечно-разностных схем, была построена фазовая траектория. Показано, что точки покоя могут быть как асимптотически устойчивыми, что соответствуют устойчивым фокусам, так и являться асимптотически неустойчивыми (неустойчивыми фокусами), причем для них фазовые таректории, как правило, выходят на предельный цикл. In this paper, using the qualitative analysis, we studied th

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12

Chrzan, D. C., and L. M. Falicov. "Theoretical phase stability of incommensurable spin structures on the {001} surfaces of MnO-type antiferromagnetic semiconductors." Physical Review B 39, no. 5 (1989): 3159–67. http://dx.doi.org/10.1103/physrevb.39.3159.

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13

Martínez-García, Alejandro N. "Artificial Intelligence for Sustainable Complex Socio-Technical-Economic Ecosystems." Computation 10, no. 6 (2022): 95. http://dx.doi.org/10.3390/computation10060095.

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The strong and functional couplings among ecological, economic, social, and technological processes explain the complexification of human-made systems, and phenomena such as globalization, climate change, the increased urbanization and inequality of human societies, the power of information, and the COVID-19 syndemic. Among complexification’s features are non-decomposability, asynchronous behavior, components with many degrees of freedom, increased likelihood of catastrophic events, irreversibility, nonlinear phase spaces with immense combinatorial sizes, and the impossibility of long-term, de

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14

Sastry, V. S. S., K. Venu, S. Uma Maheswari, and R. K. Subramanian. "NQR Study of Dynamics in Incommensurate Phases." Zeitschrift für Naturforschung A 55, no. 1-2 (2000): 281–90. http://dx.doi.org/10.1515/zna-2000-1-250.

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Dynamic processes in solids exhibiting structurally incommensurate phases are briefly reviewed, and the application of NMR and NQR is discussed. The unique utility of these methods, - arising due to, on one hand, the microscopic resonant nature of the probe used and, on the other, the presence of periodic, though incommensurable, structure - , is brought out by presenting recent results in a prototype system (Rb2ZnCl4) in the presence of randomly quenched disorder. In particular, the interesting new methodology of measuring, by analysing NQR spin echo modulation, ultra-slow diffusion like coll

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15

Caracas, Razvan. "A database of incommensurate phases." Journal of Applied Crystallography 35, no. 1 (2002): 120–21. http://dx.doi.org/10.1107/s0021889801017083.

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A database of incommensurate phases is currently available at http://www.mapr.ucl.ac.be/~crystal/index.html. The present database offers a fast direct retrieval system for structural, physical and bibliographical data of incommensurate phases. The database contains data about inorganic, non-composite, non-magnetic and non-superconducting incommensurate phases only. Classification is according to the physical mechanisms responsible for the incommensurate phase transition. The main classes of incommensurate phases thus obtained are: theA2BX4dielectrics family, zone-centre lock-in transition phas

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16

Suárez, Almudena, Franco Ramírez, and Sergio Sancho. "Prediction of odd-mode instabilities under output mismatch effects." International Journal of Microwave and Wireless Technologies 9, no. 6 (2017): 1305–15. http://dx.doi.org/10.1017/s1759078717000885.

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A methodology is presented to predict odd-mode instability in power amplifiers under output mismatch effects, as in the case of amplifiers connected to an antenna. This kind of instability is often observed in multi-device configurations, due to their symmetry properties. Unlike the single-ended situation, there is a cancellation of odd multiples of the oscillation frequency at the circuit output, so there is no impact of the load-impedance values at the sideband frequencies. The odd-mode instability only depends on the impedance terminations at the fundamental frequency and its harmonic terms

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17

Röthlisberger, Francois, Friedrich Seifert, and Michael Czank. "Chemical control of the commensurate-incommensurate phase transition in synthetic melilites." European Journal of Mineralogy 2, no. 5 (1990): 585–94. http://dx.doi.org/10.1127/ejm/2/5/0585.

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18

Nagakura, Sigemaro, Yoshihiko Hirotsu, Naoki Yamamoto, Katsumi Miyagawa, Yuji Ikeda, and Yoshio Nakamura. "Modulated structures of Bi-based high-Tc superconducting oxides studied by High Resolution Electron Microscopy and electron diffraction." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 4 (1990): 80–81. http://dx.doi.org/10.1017/s0424820100173534.

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In the superconducting Bi-Sr-Ca-Cu-O system, ideal compositions of the low Tc(Tc∼90 K) and the high Tc(Tc∼110K) phases are Bi2Sr2CaCu2Oy(y∼8:2212 phase) and Bi2Sr2Ca2 Cu3Oy (y∼10:2223 phase), respectively. The fundamental structures of these phases are tetragonal with parameters: at=bt=0.54 and ct=3.08 nm for the 2212 phase, and at=bt=0.54 and ct=3.71 nm for the 2223 phase. These phases have incommensurate structures with modulation along their b-axes. In this study, the modulated structures of Pb-doped 2212 and 2223 phases have been investigated by means of high resolution electron microscopy

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19

Sveleba, Sergii, Ivan Katerynchuk, Ivan Kuno, Ivan Karpa, Ostap Semotiuk, and Volodymyr Brygilevych. "Calculation of the phase state of the [N(CH3)4]2CUCL4 crystals." Computational Problems of Electrical Engineering 10, no. 2 (2020): 28–32. http://dx.doi.org/10.23939/jcpee2020.02.028.

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The calculation of the spatial changes of the amplitude and phase of the order parameter was performed in the Python environment with the use of the Skipy and JiTCODE libraries. In [N(CH3)4]2CuCl4 crystals, there is an incommensurate phase I1 at the small values of the magnitude of long-range interaction (T<0.6) and an incommensurate phase I2 at T≥1.0. This is the same incommensurate phase, although the behavior of the amplitude and phase functions in it is different under the different conditions mentioned above. At T = 0.6 ÷ 1.0, the coexistence of these two phases is observed which is ma

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20

Randall, C. A., R. Guo, A. S. Bhalla, and L. E. Cross. "Microstructure-property relations in tungsten bronze lead barium niobate, Pb1−xBaxNb2O6." Journal of Materials Research 6, no. 8 (1991): 1720–28. http://dx.doi.org/10.1557/jmr.1991.1720.

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Transmission electron microscopy (TEM) has been used to explore details of the structural phase transitions and corresponding microstructural features in the solid solution of Pb1−xBaxNb2O6 (PBN) tungsten bronze ferroelectrics at compositions embracing the morphotropic phase boundary between orthorhombic and tetragonal ferroelectric phases. In addition to the ferroelectric domain structures that were consistent with the expected symmetries, incommensurate ferroelastic phases were observed. The “onset” and “lock-in” transition temperatures are a function of the Pb/Ba ratio, and for lead-rich co

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21

Gadzhiev, B. R., and Kh M. Pashaev. "Incommensurate phase peculiarities controlled by competing order parameters." Soviet Journal of Low Temperature Physics 17, no. 5 (1991): 339–41. https://doi.org/10.1063/10.0032834.

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Peculiarities of incommensurate phases that are controlled by competing order parameters are studied. The temperature dependence of the heat capacity and susceptibility in an incommensurate phase are determined and the realization of the obtained results in some superconductors and other compounds with a multicomponent chemical composition is discussed.

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22

Mizuno, Motohiro, Tetsuo Asaji, Masahiko Suhara, and Yoshihiro Furukawa. "NQR and NMR Studies of Phase Transitions in R2Pb[Cu(NO2)6] (R = K, Rb, Tl, Cs, and NH4)." Zeitschrift für Naturforschung A 51, no. 5-6 (1996): 721–25. http://dx.doi.org/10.1515/zna-1996-5-660.

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Abstract39K, 87, 85Rb, 133Cs, 205T1, and 1, 2H NMR spin-lattice relaxation times T1 and 14N NQR spin-lattice relaxation times T1Q were determined for R2Pb[Cu(NO2)6] (R = K, Rb, Tl, Cs, and NH4). T1 of 39K and 87Rb showed very short values in the incommensurate phase as compared with those in the other phases. When the commensurate-incommensurate phase transition point is approached from below, 14N T1Q of the R = K, Rb, Tl, and NH4 compounds showed rapid decrease. On the other hand, that of the R = Cs compound began to decrease first after passing beyond the corresponding transition point. The

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23

Couzi, Michel, François Guillaume, and Kenneth D. M. Harris. "A phenomenological model for structural phase transitions in incommensurate alkane/urea inclusion compounds." Royal Society Open Science 5, no. 6 (2018): 180058. http://dx.doi.org/10.1098/rsos.180058.

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n -Alkane/urea inclusion compounds are crystalline materials in which n -alkane ‘guest’ molecules are located within parallel one-dimensional ‘host’ tunnels formed by a helical hydrogen-bonded arrangement of urea molecules. The periodic repeat distance of the guest molecules along the host tunnels is incommensurate with the periodic repeat distance of the host substructure. The structural properties of the high-temperature phase of these materials (phase I), which exist at ambient temperature, are described by a (3 + 1)-dimensional superspace. Recent publications have suggested that, in the pr

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24

CAPRARA, SERGIO, MASSIMO CAPONE, LUCA CAPRIOTTI, and FEDERICO BECCA. "COMMENSURATE VERSUS INCOMMENSURATE SPIN-ORDERING IN THE TRIANGULAR HUBBARD MODEL." International Journal of Modern Physics B 14, no. 29n31 (2000): 3386–91. http://dx.doi.org/10.1142/s0217979200003708.

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The presence of incommensurate spin structures in the half-filled triangular Hubbard model, where frustration leads to a competition among different magnetic phases, is investigated using both the slave-boson technique, and exact diagonalization of finite clusters. We also investigate the metal-insulator transition which, due to the lack of perfect nesting, takes place at a finite value of U. Within the slave-boson approach, as the interaction grows the paramagnetic metal turns into a metallic phase with incommensurate spiral ordering. Increasing further the interaction, a linear spin-density-

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25

Ishiguro, Takashi, and Hiroshi Sato. "Electron microscopy of the commensurate-incommensurate phase transition with the discommensuration network in 1T-TaS2." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 4 (1990): 168–69. http://dx.doi.org/10.1017/s0424820100173972.

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Phase transitions of lT-TaS2 both on cooling from the incommensurate (IC) phase and on heating from the commensurate (C) phase are investigated by high resolution (HR) transmission electron microscopy because phase transitions are strongly hysteretic. The phases which had been identified were Normal(T>543K,no modurated wave, the Cdl2 type of structure, ao=0.336nm co=0.590nm), IC(354K< T< 543K), NC(non-commensurate or nearly commensurate, 185K<T<353K) and C(T<K). On heating from the C phase, the new phase called the T phase (nearly commensurate triclinic ) appears between 200K

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26

Zhang, Jian, Alexander Wolfel, Maxim Bykov, et al. "Transition between two Kosterlitz-Thouless phases in Sc-doped TiOCl." Acta Crystallographica Section A Foundations and Advances 70, a1 (2014): C183. http://dx.doi.org/10.1107/s2053273314098167.

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The compound TiOCl is a quasi-1-dimensional (1D) quantum magnet (Seidel et al., 2003). Upon cooling, TiOCl undergoes a phase transition at Tc2 = 90 K towards a state with incommensurate magnetic order, followed by a second phase transition at Tc1 = 67 K towards a spin-Peierls state (Seidel et al., 2003; Shaz et al., 2005; van Smaalen et al., 2005). Both low-temperature phases involve structural distortions that have been characterized by x-ray diffraction. The absence of any phase transitions has been reported for scandium-doped TiOCl with doping levels 0.01 < x < 0.1 for ScxTi1-xOCl (Gl

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27

Knjazeva, Maria, Yurii Bronwald, Daria Andronikova, et al. "Modulated Structures in PbHfO₃ Crystals at High-Pressure-High-Temperature Conditions." Defect and Diffusion Forum 386 (September 2018): 149–55. http://dx.doi.org/10.4028/www.scientific.net/ddf.386.149.

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Lead hafnate single crystals were characterized using single crystal x-ray diffraction under simultaneous application of hydrostatic pressure and high temperatures. The information on the structure of two intermediate phases, situated between antiferroelectric and paraelectric phases in the pressure-temperature phase diagram, has been obtained. The lower-temperature intermediate phase is characterized by incommensurate displacive modulations in Pb sublattice. The higher-temperature intermediate phase is characterized by oxygen framework distortion, primarily in the form of anti-phase tilts of

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28

Pinheiro, C. B., A. Jório, M. A. Pimenta, and N. L. Speziali. "Structural Analysis of Cs2HgBr4 in Normal, Incommensurate and Twinned Phases." Acta Crystallographica Section B Structural Science 54, no. 3 (1998): 197–203. http://dx.doi.org/10.1107/s0108768197012032.

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X-ray diffraction and Raman spectroscopy experiments have been used to investigate different phases of Cs2HgBr4, dicesium mercury tetrabromide, from room temperature to 213 K. Structural analyses have shown that the crystal could be described, in the normal and in the incommensurate phases, both by ordered and disordered models, but the latter gave more consistent results. Raman results corroborate the descriptions based on X-ray analysis; the presence of an extra peak, which according to group theory should be forbidden in an ordered structure, indicates the lack of local symmetry and was ass

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29

Andersen, S., Y. X. Guo, and R. Høier. "Incommensurate Boundary Shifts in the AlMnSi Cubic Phase." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 2 (1990): 522–23. http://dx.doi.org/10.1017/s0424820100136210.

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The icosahedral quasicrystalline (IQ) phases of rapidly solidified materials, and especially that of the AlMnSi type, have been subjected to intensive research in recent years. These phases have been found to be closely related to periodic phases of similar composition, and orientation relationships have been found between the IQ and its decomposition products. Consequently, they are also of great importance in the study of the IQs. The most recognized periodic phase in this respect is probably the primitive α-AlMnSi phase (a = 12.68 Å). The 138 atoms in the unit cell are arranged in large ato

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30

Aizu, Kêitsiro. "Twofold Incommensurate Phase as Analogs of Semicommensurate Phases. On the Transitions [Prototypic→Ordinarily (or Onefold) Incommensurate →Twofold Incommensurate]." Journal of the Physical Society of Japan 55, no. 5 (1986): 1663–70. http://dx.doi.org/10.1143/jpsj.55.1663.

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31

Alistratov, A. L., E. P. Stefanovskii, and D. A. Yablonskii. "Magnetic structure and high-frequency properties of the quasi-one-dimensional magnet CsCuCl3." Soviet Journal of Low Temperature Physics 16, no. 10 (1990): 749–53. https://doi.org/10.1063/10.0032716.

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An SS-type incommensurate magnetic phase of exchange-relativistic origin is studied theoretically. The phase is realized in the multisublattice hexagonal quasi-one-dimensional system CsCuCl3 and is formed by long-periodic modulations of the triangular antiferromagnetic structure. The magnetic phase transition to the ferromagnetic state in an external magnetic field and the spin dynamics of the system in the two magnetic phases are investigated.

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32

Timirgazin, M. A., Anatoly K. Arzhnikov, and A. V. Vedyayev. "Incommensurate Spin-Density Wave in Two-Dimensional Hubbard Model." Solid State Phenomena 190 (June 2012): 67–70. http://dx.doi.org/10.4028/www.scientific.net/ssp.190.67.

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We consider the magnetic phase diagram of the two-dimensional Hubbard model ona square lattice.We take into account both spiral and collinear incommensurate magnetic states.The possibility of phase separation of spiral magnetic phases is taken into consideration as well.Our study shows that all the listed phases appear to be the ground state at certain parametersof the model. Relation of the obtained results to real materials, e.g. Cu-based high-temperaturesuperconductors, is discussed.

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33

Uhrig, Go¨tz S., and Ruud Vlaming. "Incommensurate phases vs. phase separation for interacting spinless fermions." Physica B: Condensed Matter 194-196 (February 1994): 451–52. http://dx.doi.org/10.1016/0921-4526(94)90555-x.

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34

Parlinski, K., and F. Dénoyer. "Mechanisms of phase transitions between commensurate and incommensurate phases." Physical Review B 41, no. 16 (1990): 11428–36. http://dx.doi.org/10.1103/physrevb.41.11428.

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35

Parlinski, K., S. Kwiecinski, and A. Urbanski. "Phase diagram of a hexagonal model with incommensurate phases." Physical Review B 46, no. 9 (1992): 5110–15. http://dx.doi.org/10.1103/physrevb.46.5110.

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36

Arakcheeva, Alla, and Gervais Chapuis. "A reinterpretation of the phase transitions in Na2CO3." Acta Crystallographica Section B Structural Science 61, no. 6 (2005): 601–7. http://dx.doi.org/10.1107/s0108768105033008.

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Based on the structural data of phases α (hexagonal; 756–972 K), β (monoclinic; 605–751 K), γ (incommensurate, monoclinic; 295 K) and δ (lock-in, monoclinic; 110 K) of sodium carbonate, Na2CO3, we could draw a parallel between the phase transitions and the evolution of the second coordination sphere of the C atoms. The temperature-dependent structures observed in the β phase are reproduced in the incommensurate γ phase as a modulation wave, which relates to the content of the symmetrically equivalent {110} lattice planes in the α phase. By decreasing the temperature, the phase transitions are

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37

Canadillas-Delgado, Laura, Lidia Mazzuca, Oscar Fabelo, J. Alberto Rodriguez-Velamazan, and Juan Rodriguez-Carvajal. "Incommensurate structures of the [CH3NH3][Co(COOH)3] compound." IUCrJ 6, no. 1 (2019): 105–15. http://dx.doi.org/10.1107/s2052252518015026.

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The present article is devoted to the characterization of the structural phase transitions of the [CH3NH3][Co(COOH)3] (1) perovskite-like metal–organic compound through variable-temperature single-crystal neutron diffraction. At room temperature, compound 1 crystallizes in the orthorhombic space group Pnma (phase I). A decrease in temperature gives rise to a first phase transition from the space group Pnma to an incommensurate phase (phase II) at approximately 128 K. At about 96 K, this incommensurate phase evolves into a second phase with a sharp change in the modulation vector (phase III). A

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38

Gorbatenko, V. V., B. N. Prasolov, S. A. Gorbatenko, and N. V. Datsenko. "Harmonic Analysis of the Polarization Reversal of the Rb2ZnCl4 Crystal in the Incommensurate Phase." Кристаллография 68, no. 5 (2023): 734–37. http://dx.doi.org/10.31857/s0023476123600453.

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The polarization reversal of Rb2ZnCl4 crystals in the incommensurate phase near a ferroelectric phase transition (PT) under the action of harmonic electric field has been studied using harmonic analysis. During polarization reversal of a test sample under the action of harmonic electric field, a PT induced by the electric field from the incommensurate phase to the ferroelectric phase and a PT from the field-induced ferroelectric phase back to the incommensurate phase occur. The study of the active and reactive contributions to the amplitudes of current density harmonics made it possible to det

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39

Yamamoto, Naoki, Makoto Kikuchi, Tooru Atake, Akihiro Hamano, and Yasutoshi Saito. "Electron Microscope study of commensurate-incommensurate phase transition in BaZnGeO4." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 4 (1990): 172–73. http://dx.doi.org/10.1017/s0424820100173996.

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BaZnGeO4 undergoes many phase transitions from I to V phase. The highest temperature phase I has a BaAl2O4 type structure with a hexagonal lattice. Recent X-ray diffraction study showed that the incommensurate (IC) lattice modulation appears along the c axis in the III and IV phases with a period of about 4c, and a commensurate (C) phase with a modulated period of 4c exists between the III and IV phases in the narrow temperature region (—58°C to —47°C on cooling), called the III' phase. The modulations in the IC phases are considered displacive type, but the detailed structures have not been s

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Dorner, B., B. Schmid, K. Kakurai, and D. Petitgrand. "The phase diagram of RbFeCl3 in a magnetic field perpendicular to the chain direction." Canadian Journal of Physics 73, no. 11-12 (1995): 800–804. http://dx.doi.org/10.1139/p95-116.

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The temperature dependence of the position and line width of antiferromagnetic Bragg peaks were measured at different applied magnetic fields up to 1.4 T by means of elastic neutron scattering. Three different types of temperature dependences were observed that can be attributed to the commensurate–incommensurate, commensurate–paramagnetic, and incommensurate–paramagnetic phase transitions. Below 0.3 T the transition goes from commensurate to incommensurate. Between 0.3 and 0.5 T a phase boundary was observed, but there is some doubt as to whether the structure at temperatures below this bound

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41

Dolinšek, J., and R. Blinc. "A Note on the 14N Electric Field Gradient Notizen: Tensors in Incommensurate [N(CH3)4]2ZnCl4." Zeitschrift für Naturforschung A 42, no. 3 (1987): 305–6. http://dx.doi.org/10.1515/zna-1987-0318.

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The 14N electric field gradient tensors of [N(CH3)4]2ZnCl4 have been re-determined in the paraelectric phase at 26 °C and in the incommensurate phase at 16 °C. The results in the incommensurate phase show the “non-local” nature of the 14N EFG tensor interaction.

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42

Xu, Z., Dwight Viehland, and D. A. Payne. "An incommensurate-commensurate phase transformation in antiferroelectric tin-modified lead zirconate titanate." Journal of Materials Research 10, no. 2 (1995): 453–60. http://dx.doi.org/10.1557/jmr.1995.0453.

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Antiferroelectric tin-modified lead zirconate titanate ceramics (PZST), with 42 at. % Sn and 4 at. % Ti, were studied by hot- and cold-stage transmission electron microscopy and selected area electron diffraction techniques. The previously reported tetragonal antiferroelectric state is shown to be an incommensurate orthohombic state. Observations revealed the existence of incommensurate 1/x 〈110〉 superlattice reflections below the temperature of the dielectric maximum. The modulation wavelength for this incommensurate structure was found to be metastably locked-in near and below room temperatu

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43

Bosak, Alexei, Volodymyr Svitlyk, Alla Arakcheeva, et al. "Incommensurate crystal structure of PbHfO3." Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 76, no. 1 (2020): 7–12. http://dx.doi.org/10.1107/s205252061901494x.

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Controversy in the description/identification of so-called intermediate phase(s) in PbHfO3, stable in the range ∼420–480 K, has existed for a few decades. A synchrotron diffraction experiment on a partially detwinned crystal allowed the structure to be solved in the superspace group Imma(00γ)s00 (No. 74.2). In contrast to some previously published reports, in the pure compound only one distinct phase was observed between Pbam PbZrO3-like antiferroelectric and Pm3m paraelectric phases. The modulation vector depends only slightly on temperature. The major structure modulation is associated with

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44

Fukuda, Takashi, Tomoyuki Terai, Hidefumi Maeda, and Tomoyuki Kakeshita. "Stress-Temperature Phase Diagram of Ni₂MnGa and Structural Relations between its Constituent Phases." Materials Science Forum 684 (May 2011): 61–71. http://dx.doi.org/10.4028/www.scientific.net/msf.684.61.

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The ferromagnetic shape memory alloy Ni2MnGa exhibits a successive martensitic transformation from the L21-type structure to the so-called intermediate phase and then to the martensite phase with an incommensurate structure during cooling under zero stress. In addition to these phases, a new phase, which we call the X-phase, appears when Ni2MnGa is cooled under compressive stress applied in the [001] direction. In this paper, we discuss the structural relations between the X-phase and the other phases on the basis of experimental results of compressive tests, transmission electron microscope o

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Меньшенин, В. В. "Магнитные фазовые переходы в несоизмеримую магнитную структуру в соединении FeGe-=SUB=-2-=/SUB=-". Физика твердого тела 61, № 3 (2019): 552. http://dx.doi.org/10.21883/ftt.2019.03.47251.269.

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AbstractA symmetry analysis of possible magnetic structures in an incommensurate magnetic phase in FeGe_2 compound, resulted from phase transitions from the paramagnetic phase, was performed based on a phenomenological consideration. It is shown that two possible approaches to a such an analysis, the first of which uses the magnetic representation of the space group, and the second one is based on the expansion of the magnetic moment in basis functions of irreducible representations of the space group of the paramagnetic phase, yield the same results. Space group irreducible representations ar

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46

Nakano, Hiromi, Shota Ando, Konatsu Kamimoto, et al. "Incommensurately Modulated Crystal Structure and Photoluminescence Properties of Eu2O3- and P2O5-Doped Ca2SiO4 Phosphor." Materials 13, no. 1 (2019): 58. http://dx.doi.org/10.3390/ma13010058.

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We prepared four types of Eu2O3- and P2O5-doped Ca2SiO4 phosphors with different phase compositions but identical chemical composition, the chemical formula of which was (Ca1.950Eu3+0.013☐0.037)(Si0.940P0.060)O4 (☐ denotes vacancies in Ca sites). One of the phosphors was composed exclusively of the incommensurate (IC) phase with superspace group Pnma(0β0)00s and basic unit-cell dimensions of a = 0.68004(2) nm, b = 0.54481(2) nm, and c = 0.93956(3) nm (Z = 4). The crystal structure was made up of four types of β-Ca2SiO4-related layers with an interlayer. The incommensurate modulation with wavel

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47

RUSTAMOV, K. A., and B. R. GADJIEV. "THEORETICAL MODEL FOR THE HIGH-FREQUENCY DYNAMICAL SUSCEPTIBILITY IN THE IMPROPER SEGNETOELECTRICS." Modern Physics Letters B 07, no. 20 (1993): 1335–42. http://dx.doi.org/10.1142/s0217984993001387.

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Description of the temperature and frequency dependences of the dynamical susceptibility in improper segnetoelectrics in the incommensurate phase near the incommensurate–commensurate phase transition is presented. The used model is based on the theory of three interacting nonlinear oscillators.

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48

Nakayama, Hirokazu, Nobuo Nakamura, and Hideaki Chihara. "NQR Parameters in Incommensurate Cs2CdBr4 and Cs2HgBr4 Crystals." Zeitschrift für Naturforschung A 41, no. 1-2 (1986): 261–64. http://dx.doi.org/10.1515/zna-1986-1-246.

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The temperature dependence of the 81Br spin-lattice relaxation times for Cs2CdBr4 and Cs2HgBr4 was measured in the low temperature and the commensurate phases. For the commensurate phase of Cs2CdBr4 rapid shortening of the T1 of νB ~ νC was observed on approaching the “lock-in” transition point. It is probably due to an anisotropic critical fluctuation. On the other hand, T, in the low temperature phase of Cs2HgBr4 behaves like an order parameter but no critical decrease of T1 was observed in the commensurate phase.

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Zheng, Yufeng, Dong Wang, Rajarshi Banerjee, Dipankar Banerjee, Yunzhi Wang та Hamish L. Fraser. "Exploration of Nano-scale Structural Instabilities in Metastable β Titanium Alloys Using Advanced Electron Microscopy". MATEC Web of Conferences 321 (2020): 12001. http://dx.doi.org/10.1051/matecconf/202032112001.

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A variety of nano-scale structural instabilities formed in different metastable β titanium alloys have been systematically investigated using advanced characterization techniques. The characteristics of three different types of nano-scale structural instabilities, the transformation mechanisms and pathways involved and the critical experimental conditions to generate such nano-scale phases will be reviewed and summarized, including athermal ω phase with hexagonal structure, O’ phase with orthorhombic structure, and incommensurate modulated nanodomains. The athermal ω phase has been observed in

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50

Coraggio, Aldo, and Andrea Pelissetto. "The quantum XY chain with boundary fields: finite-size gap and phase behavior." Journal of Statistical Mechanics: Theory and Experiment 2025, no. 2 (2025): 023101. https://doi.org/10.1088/1742-5468/ad8bb7.

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Abstract We present a detailed study of the finite-size one-dimensional quantum XY chain in a transverse field in the presence of boundary fields coupled with the order-parameter spin operator. We consider fields located at the chain boundaries that have the same strength and that are oppositely aligned. We derive exact expressions for the gap Δ as a function of the model parameters for large values of the chain length L. These results allow us to characterize the nature of the ordered phases of the model. We find a magnetic (M) phase ( Δ ∼ e − a L ), a magnetic-incommensurate (MI) phase ( Δ ∼

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