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1

Yakymchuk, Chris. "Applying Phase Equilibria Modelling to Metamorphic and Geological Processes: Recent Developments and Future Potential." Geoscience Canada 44, no. 1 (2017): 27. http://dx.doi.org/10.12789/geocanj.2017.44.114.

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Phase equilibria modelling has played a key role in enhancing our understanding of metamorphic processes. An important breakthrough in the last three decades has been the ability to construct phase diagrams by integrating internally consistent datasets of the thermodynamic properties of minerals, fluids and melts with activity–composition models for mixed phases that calculate end-member activities from end-member proportions. A major advance in applying phase equilibria modelling to natural rocks is using isochemical phase diagrams to explore the phase assemblages and reaction sequences applicable for a particular sample. The chemical systems used for modelling phase equilibria are continually evolving to provide closer approximations to the natural compositions of rocks and allow wider varieties of compositions to be modelled. Phase diagrams are now routinely applied to metasedimentary rocks, metabasites and intermediate to felsic intrusive rocks and more recently to ultramafic rocks and meteorites. While the principal application of these phase diagrams is quantifying the pressure and temperature evolution of metamorphic rocks, workers are now applying them to other fields across the geosciences. For example, phase equilibria modelling of hydrothermal alteration and the metamorphism of hydrothermally altered rocks can be used to determine ‘alteration vectors’ to hydrothermal mineral deposits. Combining the results of phase equilibria of rock-forming minerals with solubility equations of accessory minerals has provided new insights into the geological significance of U–Pb ages of accessory minerals commonly used in geochronology (e.g. zircon and monazite). Rheological models based on the results of phase equilibria modelling can be used to evaluate how the strength of the crust and mantle can change through metamorphic and metasomatic processes, which has implications for a range of orogenic processes, including the localization of earthquakes. Finally, phase equilibria modelling of fluid generation and consumption during metamorphism can be used to explore links between metamorphism and global geochemical cycles of carbon and sulphur, which may provide new insights into the secular change of the lithosphere, hydrosphere and atmosphere.RÉSUMÉLa modélisation des équilibres de phases a joué un rôle clé dans l’amélioration de notre compréhension des processus métamorphiques. Une percée importante au cours des trois dernières décennies a été la capacité de construire des diagrammes de phase en y intégrant des ensembles de données cohérentes des propriétés thermodynamiques des minéraux, des fluides et des bains magmatiques avec des modèles d'activité-composition pour des phases mixtes qui déduisent l’activité des membres extrêmes à partir des proportions des membres extrêmes. Une avancée majeure dans l'application de la modélisation d'équilibre de phase aux roches naturelles consiste à utiliser des diagrammes de phases isochimiques pour étudier les assemblages de phase et les séquences de réaction applicables pour un échantillon particulier. Les systèmes chimiques utilisés pour la modélisation des équilibres de phase évoluent continuellement pour fournir des approximations plus proches des compositions naturelles des roches et permettent de modéliser de plus grandes variétés de compositions. Les diagrammes de phase sont maintenant appliqués de façon routinière aux roches métasédimentaires, aux métabasites et aux roches intrusives intermédiaires à felsiques et plus récemment aux roches ultramafiques et aux météorites. Bien que l'application principale de ces diagrammes de phase consiste à quantifier l'évolution de la pression et de la température des roches métamorphiques, les utilisateurs les appliquent maintenant à d'autres spécialités des géosciences. Par exemple, la modélisation des équilibres de phase de l'altération hydrothermale et du métamorphisme des roches d’altération hydrothermale peut être utilisée pour déterminer les « vecteurs d'altération » des gisements minéraux hydrothermaux. La combinaison des résultats des équilibres de phase des minéraux constitutifs des roches avec des équations de solubilité des minéraux accessoires a permis d’en savoir davantage sur la signification géologique des âges U–Pb des minéraux accessoires couramment utilisés en géochronologie (par exemple zircon et monazite). Les modèles rhéologiques basés sur les résultats de la modélisation des équilibres de phase peuvent être utilisés pour évaluer comment la résistance de la croûte et du manteau peut changer à travers des processus métamorphiques et métasomatiques, ce qui a des implications sur une gamme de processus orogéniques, y compris la localisation des séismes. Enfin, la modélisation des équilibres de phase de la génération et de l’absorption des fluides pendant le métamorphisme peut être utilisée pour explorer les liens entre le métamorphisme et les cycles géochimiques globaux du carbone et du soufre, ce qui peut fournir de nouvelles perspectives sur le changement séculaire de la lithosphère, de l'hydrosphère et de l'atmosphère.
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2

Nicholls, Jim, and J. Kelly Russell. "Igneous Rock Associations 20. Pearce Element Ratio Diagrams: Linking Geochemical Data to Magmatic Processes." Geoscience Canada 43, no. 2 (2016): 133. http://dx.doi.org/10.12789/geocanj.2016.43.095.

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It has been nearly fifty years since Tom Pearce devised a type of element ratio diagram that isolates the effects of crystal fractionation and accumulation (sorting) hidden in the chemistry of a suite of igneous rocks. Here, we review the guiding principles and methods supporting the Pearce element ratio paradigm and provide worked examples with data from the Mauna Ulu lava flows (erupted 1970–1971, Kilauea Volcano, Hawaii). Construction of Pearce element ratio diagrams requires minimum data; a single rock analysis can suffice. The remaining data test the model. If the data fit the model, then the model is accepted as a plausible or likely explanation for the observed chemical variations. If the data do not fit, the model is rejected. Successful applications of Pearce element ratios require the presence and identification of conserved elements; elements that remain in the melt during the processes causing the chemical diversity. Conserved elements are identified through a priori knowledge of the physical-chemical behaviour of the elements in rock-forming processes, plots of weight percentages of pairs of oxides against each other, or by constant ratios of two elements. Three kinds of Pearce element ratio diagrams comprise a model: conserved element, assemblage test, and phase discrimination diagrams. The axial ratios for Pearce ratio diagrams are combinations of elements chosen on the basis of the chemical stoichiometry embedded in the model. Matrix algebra, operating on mineral formulae and analyses, is used to calculate the axis ratios. Models are verified by substituting element numbers from mineral formulae into the ratios. Different intercepts of trends on Pearce element ratio diagrams distinguish different magma batches and, by inference, different melting events. We show that the Mauna Ulu magmas derive from two distinct batches, modified by sorting of olivine, clinopyroxene, plagioclase and, possibly, orthopyroxene (unobserved).RÉSUMÉIl y a près de cinquante ans Tom Pearce a conçu un genre de diagramme de ratio d’éléments qui permet d’isoler les effets de la cristallisation fractionnée et de l'accumulation cristalline (tri) au sein de la chimie d'une suite de roches ignées. Dans le présent article, nous passons en revue les principes et les méthodes étayant le paradigme de ratio d’éléments de Pearce, et présentons des exemples pratiques à partir de données provenant de coulées de lave du Mauna Ulu (éruption 1970–1971 du volcan Kilauea, Hawaii). La confection des diagrammes de ratio d’éléments de Pearce requière un minimum de données; une seule analyse de roche peut suffire. Les données restantes servent à tester le modèle. Si les données sont conformes au modèle, alors le modèle est accepté comme explication plausible ou probable des variations chimiques observées. Si les données ne correspondent pas, le modèle est rejeté. Les applications réussies des ratios d’éléments de Pearce requièrent la présence et l'identification d’éléments conservés; éléments qui demeurent dans la masse fondue au cours des processus causant la diversité chimique. Les éléments conservés sont identifiés par la connaissance a priori du comportement physico-chimique des éléments dans les processus de formation des roches, le positionnement sur la courbe des pourcentages pondérés de pairs d'oxydes les uns contre les autres, ou par des ratios constants de deux éléments. Trois types de diagrammes de Pearce de ratio d’éléments constituent un modèle: élément conservé, test d'assemblage, et diagrammes de phase discriminant. Les ratios axiaux pour les diagrammes de ratio d’éléments de Pearce sont des combinaisons d'éléments choisis sur la base de la stœchiométrie inhérente au modèle. L’algèbre matricielle, appliquée à des formules minérales et à des analyses, est utilisée pour calculer les ratios axiaux. Les modèles sont vérifiés en utilisant les nombres d’élément des formules minérales dans les ratios. Différentes intersections dans les diagrammes de ratios d’éléments de Pearce distinguent différents lots de magma et, par inférence, différentes coulées. Nous montrons que les magmas de Mauna Ulu proviennent de deux lots distincts, modifiés par l’extraction de l'olivine, de clinopyroxène, de plagioclase et, éventuellement, orthopyroxène (non observé).
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3

Radulescu, O., N. Baluc, and D. Yu. "Analyse de diagrammes de diffraction électronique de la phase Tz d’AlLiCu." Revue de Métallurgie 90, no. 9 (1993): 1113. http://dx.doi.org/10.1051/metal/199390091113.

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4

Savoie, Louise, and Pierre Richard. "Paléophytogéographie de l’épisode de Saint-Narcisse dans la région de Sainte-Agathe, Québec." Géographie physique et Quaternaire 33, no. 2 (2010): 175–88. http://dx.doi.org/10.7202/1000067ar.

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Trois diagrammes polliniques ont été établis dans la région de Sainte-Agathe, à environ 80 km au nord de Montréal, afin de reconstituer la végétation et les conditions climatiques durant la mise en place de la moraine bordière de Saint-Narcisse. Les séquences polliniques remontent à plus de 10 800 ans avant l’actuel. Les diagrammes présentent une phase initiale de végétation très ouverte, comparable à l'actuelle toundra (jusqu'à 9 750 ans BP, dans le meilleur cas). L’afforestation subséquente s’est effectuée entre 10 800 et 8 600 ans BP, par la constitution d’une tremblaie-parc (Populus tremuloides). Elle fut suivie par la phase forestière, représentée d’abord par des essences de la forêt boréale coniférienne, puis par des arbres à feuillage caduque du domaine de l’érablière à érable à sucre (Acer saccharum), jusqu’à nos jours. Les datations obtenues sur les trois carottes rendent suspecte la date de 8500 ans BP pour la toundra au site Borne (RICHARD, 1977). Les lacs que nous avons échantillonnés, entourant littéralement le site Borne, ont révélé que la toundra y était antérieure à 10 820 ans BP au site Sav-II, à 10 420 ans BP au site du lac à Saint-Germain et daterait de 10170 ans BP au site Sav-I. Un horizon minéral au sein des sédiments organiques, dans la carotte du lac à Saint-Germain a été relié à un phénomène de remaniement de sédiments lacustres, probablement par glissement sous-aquatique. Enfin, les diagrammes polliniques n’enregistrent pas l’oscillation climatique à laquelle plusieurs auteurs ont attribué l’épisode de Saint-Narcisse.
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5

Pons, C. H., A. Pozzuoli, J. A. Rausell-Colom, and C. De La Calle. "Mecanisme de passage de l'etat hydrate a une couche a l'etat ‘zero couche’ d'une vermiculite-Li de Santa-Olalla." Clay Minerals 24, no. 3 (1989): 479–93. http://dx.doi.org/10.1180/claymin.1989.024.3.02.

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RésuméPar diffraction des Rayons X sur la vermiculite-Li de Santa-Olalla, il a été montré en fonction de la température qu'il existait différentes phases homogènes (d001 = 12·17 Å, T = 25°C; d001 = 12·02 Å, T = 60°C; d001 = 11·89 Å, T = 70°C; d001 = 10·04 Å, T = 100°C). Par ailleurs, pendant le processus de déshydratation entre les phases homogènes à 11·89 Å et 10·04 Å, il a été mis en évidence l'apparition d'états inhomogènes (interstratifiés). L'utilisation parallèle des méthodes directes d'étude des diagrammes de rayons X par transformée de Fourier monodimentionnelle pour les phases homogènes et d'une méthode indirecte de modélisation pour les états interstratifiés a permis de montrer que le passage de la phase 11·89 Å à la phase 10·04 Å se fait conjointement par une ségrégation de ces phases et un interstratifié aléatoire (11·89–10·04). Ce travail a en outre montré que la caractérisation des états intermédiaires entre phases homogènes ne peut être faite sans une étude structurale préalable des phases homogènes.
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6

Guilpin, Christian, and Jocelyne Garbarz. "La methode des regularisants appliquee au calcul des diagrammes de phase binaires: Applications et generalisation dans le cas de contraintes." Thermochimica Acta 89 (July 1985): 351–61. http://dx.doi.org/10.1016/0040-6031(85)85508-8.

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7

Bouwer, Stephan. "Orkney snork nie!" Communicare: Journal for Communication Studies in Africa 10, no. 2 (2022): 6–21. http://dx.doi.org/10.36615/jcsa.v10i2.1990.

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In this article it is postulated that a critical/analytical reading of TV programmes should be an eclectic (or multi-disciplinary) transaction. With the "auteurism" viewpoint (vide Lapsley et all, Reader-response Criti cism (Allen et al) and the British Cul tural Studies (Birmingham) approach (Fiske et al) as point of departure, the popular Afrikaans sitcom ORK NEY SNORK NIE! (SABC TV1) is used as "vehicle" to demonstrate that TV viewing is a highly entangled, inter textual, communication transaction. The question of genre delimination, as an ideological implement, is also mooted. Two diagrammes (the nar ratological prose model and the "6 phase" communication model) are used as illustration to elucidate on encoding/decoding, with special emphasis on the contribution of the various sender collaborators and on author Esterhuizen as primary source of signification. With due allowance for the TV viewer as a reader who "negotiates" and "opposes", to use Althusser's terms, this article is an attempt at TV deconstruction in or der to demonstrate certain theories of pictorial communication and dis course analysis.
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8

Labelle, Claude, and Pierre J. H. Richard. "Végétation tardiglaciaire et postglaciaire au sud-est du parc des Laurentides, Québec." Géographie physique et Quaternaire 35, no. 3 (2011): 345–59. http://dx.doi.org/10.7202/1000544ar.

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L’analyse pollinique des sédiments de trois lacs situés au sud-est du parc des Laurentides a permis de retracer les étapes de la recolonisation végétale post-wisconsinienne. Celle-ci s’est effectuée selon un schéma assez constant à travers le secteur à l’étude. Au début, la végétation était très ouverte, mais tout de même relativement riche en taxons herbacés et arbustifs. Cette phase initiale de végétation (sous-zone la) fut suivie, après une période de transition (sous-zone 1b), par une végétation luxuriante de type toundra (sous-zone 1c). Celle-ci fut à son tour remplacée par une végétation de type toundra arbustive (sous-zone 1d) où l’on voit s’accroître l’importance de Betula glandulosa et d’autres éléments arbustifs. Avec un certain métachronisme entre les sites, l’afforestation s’est amorcée par l’installation du Populus cf. tremuloïdes (sous-zone 2a) et s’est poursuivie par l’arrivée de Picea mariana (fin de la sous-zone 2a) puis, par celle d’une série d’arbres tels Betula papyrifera, Pinus cf. divaricata, Abies balsamea, Picea glauca et Larix laricina (sous-zone 2b). Pendant cette dernière phase de l’afforestation, l’abondance du pollen d’Alnus cf. crispa dans les spectres est maximale. Il semble qu’au moins mille ans se soient écoulés avant l’arrivée des arbres autres que le Populus cf. tremuloïdes. Par la suite, l’histoire de la végétation forestière (zone 3) a été plutôt monotone. Bien que les diagrammes révèlent des périodes de plus grande abondance de certains taxons (Pinus strobus, Picea mariana, Pinus et. divaricata), la majorité des arbres, présents actuellement dans la région, ont migré très tôt à l’Holocène.
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Brazhkin, Vadim V. "Metastable phases, phase transformations, and phase diagrams in physics and chemistry." Uspekhi Fizicheskih Nauk 176, no. 7 (2006): 745. http://dx.doi.org/10.3367/ufnr.0176.200607d.0745.

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Pena, P., B. Vázquez, A. Caballero, and S. De Aza. "Diagramas de equilibrio de fases cuaternarios. Métodos de representación e interpretación." Boletín de la Sociedad Española de Cerámica y Vidrio 44, no. 2 (2005): 113–22. http://dx.doi.org/10.3989/cyv.2005.v44.i2.392.

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Brazhkin, V. V. "Metastable phases and ‘metastable’ phase diagrams." Journal of Physics: Condensed Matter 18, no. 42 (2006): 9643–50. http://dx.doi.org/10.1088/0953-8984/18/42/010.

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12

Blu¨mel, Th, Peter J. Collings, H. Onusseit, and H. Stegemeyer. "Phase diagrams of the blue phases." Chemical Physics Letters 116, no. 6 (1985): 529–33. http://dx.doi.org/10.1016/0009-2614(85)85209-x.

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13

Ecrepont, C., M. Guittard, and J. Flahaut. "Systeme La2S3Bi2S3. Phases intermediaires diagramme de phase." Materials Research Bulletin 23, no. 1 (1988): 37–42. http://dx.doi.org/10.1016/0025-5408(88)90222-x.

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14

Ternero Fernández, Fátima. "Determinación de diagramas de fases a partir de las curvas de energía libre-composición." JORNADAS DE FORMACIÓN E INNOVACIÓN DOCENTE DEL PROFESORADO, no. 3 (2020): 2055–78. http://dx.doi.org/10.12795/9788447231003.095.

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15

Giersberg, Lydia, Benjamin Milkereit, Christoph Schick, and Olaf Kessler. "In Situ Isothermal Calorimetric Measurement of Precipitation Behaviour in Al-Mg-Si Alloys." Materials Science Forum 794-796 (June 2014): 939–44. http://dx.doi.org/10.4028/www.scientific.net/msf.794-796.939.

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Isothermal time-temperature-precipitation (TTP) diagrams deliver important material data like temperature and time ranges critical for precipitation. During the last years an in-situ calorimetric method to record continuous cooling precipitation diagrams has been developed to application level by our group. However, isothermal TTP-diagrams were still determined by ex-situ analyses only. In this work in-situ measurements of precipitation reactions were carried out during isothermal soaking. Therefore the whole heat treatment cycle was performed in a differential scanning calorimeter (DSC). Al-Mg-Si-alloys 6063 and 6005A were analysed. Solution annealing and overcritical quenching to several temperatures between 450 °C and 250 °C was followed by isothermal soaking. Based on the heat flow curves during isothermal soaking TTP-diagrams were determined. Further microstructure investigations by scanning electron microscopy and hardness tests after artificial ageing were performed. Both alloys show similar results. In the TTP-diagramms three so-called ”C-curves” could be observed. Every C-curve is expected to represent precipitation of a different phase. Hardness and microstructure investigations correspond with the data of the TTP-diagramms.
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Jesser, W. A., G. J. Shiflet, G. L. Allen, and J. L. Crawford. "Equilibrium phase diagrams of isolated nano-phases." Materials Research Innovations 2, no. 4 (1999): 211–16. http://dx.doi.org/10.1007/s100190050087.

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17

Smirnova, N. L., E. M. Berson, and Yu S. Konyaev. "Interaction of boride phases in phase diagrams." Journal of the Less Common Metals 117, no. 1-2 (1986): 395–99. http://dx.doi.org/10.1016/0022-5088(86)90066-4.

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18

Fisher, Michael E. "Phases and phase diagrams - Gibbs' legacy today." Physica A: Statistical Mechanics and its Applications 163, no. 1 (1990): 15–16. http://dx.doi.org/10.1016/0378-4371(90)90310-o.

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19

Mammadov, F. M., I. R. Amiraslanov, N. N. Efendiyeva, and S. Z. Imamaliyeva. "PHASE DIAGRAMS OF THE FeGa2S4- FeIn2S4 AND FeS- FeGaInS4 SYSTEMS." Chemical Problems 17, no. 1 (2019): 58–65. http://dx.doi.org/10.32737/2221-8688-2019-1-58-65.

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Jivani, A. R. "Phase diagrams of Si1-xGex solid solution: a theoretical approach." Semiconductor Physics Quantum Electronics and Optoelectronics 15, no. 1 (2012): 17–20. http://dx.doi.org/10.15407/spqeo15.01.017.

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Mikołajczak, P., and L. Ratke. "Thermodynamic Assessment of Mushy Zone in Directional Solidification." Archives of Foundry Engineering 15, no. 4 (2015): 101–9. http://dx.doi.org/10.1515/afe-2015-0088.

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Abstract Solidification of AlSiFe alloys was studied using a directional solidification facility and the CALPHAD technique was applied to calculate phase diagrams and to predict occurring phases. The specimens solidified by electromagnetic stirring showed segregation across, and the measured chemical compositions were transferred into phase diagrams. The ternary phase diagrams presented different solidification paths caused by segregation in each selected specimen. The property diagrams showed modification in the sequence and precipitation temperature of the phases. It is proposed in the study to use thermodynamic calculations with Thermo-Calc which enables us to visualize the mushy zone in directional solidification. 2D maps based on property diagrams show a mushy zone with a liquid channel in the AlSi7Fe1.0 specimen center, where significant mass fraction (33%) of β-Al5FeSi phases may precipitate before α-Al dendrites form. Otherwise liquid channel occurred almost empty of β in AlSi7Fe0.5 specimen and completely without β in AlSi9Fe0.2. The property diagrams revealed also possible formation of α-Al8Fe2Si phases.
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Guittard, M., J. Rivet, A. Mazurier, S. Jaulmes, and P. H. Fourcroy. "Systeme Ag2TeGa2Te3. phases intermediaires. determinations structurales. diagramme de phase." Materials Research Bulletin 23, no. 2 (1988): 217–25. http://dx.doi.org/10.1016/0025-5408(88)90098-0.

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23

Samoilova, O. V., and L. A. Makrovets. "Thermodynamic Modeling of Phase Equilibria in the FeO-MgO-Al2O3 System." Materials Science Forum 989 (May 2020): 3–9. http://dx.doi.org/10.4028/www.scientific.net/msf.989.3.

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Thermodynamic modeling of coordinates of phase diagrams’ liquidus lines of the FeO–MgO, FeO–Al2O3, MgO–Al2O3 systems and coordinates of phase diagram’s liquidus surface of the FeO–MgO–Al2O3 system has been carried out. In the course of work, a thermodynamic model which describes activity of oxide melt had been selected for each of the systems; energy parameters of the model have been determined. Regions of thermodynamic stability of solid phases which are at equilibrium with the oxide melt have been determined. Results of the modeling have been compared with experimental data existing in the literature. Modeling technique has also allowed evaluating enthalpies and entropies of FeAl2O4 and MgAl2O4 compounds’ formation out of components of the oxide melt. The obtained results are of interest for steelmaking industry processes when determining the melt temperature of a slag containing oxides of iron, magnesium and aluminum.
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Dykas, Jakub, Ludovic Samek, Adam Grajcar, and Aleksandra Kozłowska. "Modelling of Phase Diagrams and Continuous Cooling Transformation Diagrams of Medium Manganese Steels." Symmetry 15, no. 2 (2023): 381. http://dx.doi.org/10.3390/sym15020381.

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The aim of this manuscript was to study the influence of alloying elements on the phase transformation behavior in advanced high-strength multiphase steels. Continuous cooling transformation (CCT) and time–temperature–transformation (TTT) diagrams were calculated to analyze the stability of phases at variable time–temperature processing parameters. The analyzed materials were lean-alloyed transformation induced plasticity (TRIP) medium manganese steels. The simulations of the phase diagrams, the stability of the phases during simulated heat treatments, and the chemical composition evolution diagrams were made using Thermo-Calc and JMatPro material simulation softwares. The influence of alloying elements, i.e., Mn and C, were studied in detail. The computational and modelling results allowed the influence of alloying elements on equilibrium and non-equilibrium phase diagrams and microstructural and chemical composition evolutions to be studied. Good symmetry and correlation between computational softwares were achieved. The study allows for future optimization of the heat-treatment temperature and time conditions of modern medium-Mn automotive sheet steels.
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Imamaliyeva, S. Z., G. I. Alakbarzade, A. N. Mamedov, and M. B. Babanly. "MODELING THE PHASE DIAGRAMS OF THE Tl9SmTe6–Tl4PbTe3 AND Tl9SmTe6–Tl9BiTe6 SYSTEMS." Azerbaijan Chemical Journal, no. 4 (December 12, 2020): 12–16. http://dx.doi.org/10.32737/0005-2531-2020-4-12-16.

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Using the multipurpose genetic algorithm, the analytical models of phase diagrams of the Tl9SmTe6–Tl8Pb2Te6 and Tl9SmTe6–Tl9BiTe6 systems as temperature dependencies of compositions of the equilibrium phases were obtained. The boundaries of the uncertainty band for the liquidus and solidus curves of solid solutions are determined. According to the model of regular solutions of non-molecular compounds, the thermodynamic functions of mixing solid solutions depending on the composition and temperature are determined. It was found that solid solutions based on the Tl9SmTe6, Tl8Pb2Te6 and Tl9BiTe6 compounds are thermodynamically stabile in the whole concentration range
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26

Lunelli, B. "Phase Diagrams." Journal of Chemical Education 73, no. 10 (1996): A228. http://dx.doi.org/10.1021/ed073pa228.1.

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27

Onusseit, H., and H. Stegemeyer. "Investigations of phase diagrams with monotropic liquid-crystalline phases." Thermochimica Acta 83, no. 1 (1985): 145–52. http://dx.doi.org/10.1016/0040-6031(85)85805-6.

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28

KESKİN, MUSTAFA, OSMAN CANKO, and ERSIN KANTAR. "DYNAMIC DIPOLE AND QUADRUPOLE PHASE TRANSITIONS IN THE KINETIC SPIN-1 MODEL." International Journal of Modern Physics C 17, no. 09 (2006): 1239–55. http://dx.doi.org/10.1142/s0129183106009862.

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The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic field by using the Glauber-type stochastic dynamics. The nature (first- or second-order) of the transition is characterized by investigating the behavior of the thermal variation of the dynamic order parameters. The dynamic phase transitions (DPTs) are obtained and the phase diagrams are constructed in the temperature and magnetic field amplitude plane and found six fundamental types of phase diagrams. Phase diagrams exhibit one or two dynamic tricritical points depending on the biquadratic interaction (K). Besides the disordered (D) and ferromagnetic (F) phases, the FQ + D, F + FQ and F + D coexistence phase regions also exist in the system and the F and F + D phases disappear for high values of K.
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29

Pacheco Santos, Valderi. "Phase Equilibrium: Influence of the Intermolecular Forces on Phase Diagrams." Revista Virtual de Química 12, no. 6 (2020): 1541–58. http://dx.doi.org/10.21577/1984-6835.20200117.

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30

Atanackovic, T. M., Y. Huo, Z. Jelicic, and I. Müller. "Phase diagrams modified by interfacial penalties." Theoretical and Applied Mechanics 34, no. 4 (2007): 249–88. http://dx.doi.org/10.2298/tam0704249a.

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The conventional forms of phase diagrams are constructed without consideration of interfacial energies and they represent an impor?tant tool for chemical engineers and metallurgists. If interfacial energies are taken into consideration, it is intuitively obvious that the regions of phase equilibria must become smaller, because there is a penalty on the formation of interfaces. We investigate this phe?nomenon qualitatively for a one-dimensional model, in which the phases occur as layers rather than droplets or bubbles. The modified phase diagrams are shown in Chapters 3 and 4.
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31

Will, Thomas M. "Phase Diagrams and their Application to Determine Pressure-Temperature Paths of Metamorphic Rocks." Neues Jahrbuch für Mineralogie - Abhandlungen 174, no. 2 (1998): 103–30. http://dx.doi.org/10.1127/njma/174/1998/103.

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32

Mammadov, F. M. "REFINEMENT OF THE PHASE DIAGRAMS OF THE FeSe–Ga2Se3 AND Ga2Se3–In2Se3 SYSTEMS." Azerbaijan Chemical Journal, no. 3 (2018): 46–49. http://dx.doi.org/10.32737/0005-2531-2018-3-46-49.

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33

Konstantinov, V. A., A. V. Karachevtseva, V. P. Revyakin, and V. V. Sagan. "Phase VT diagrams of fluorinated ethanes." Low Temperature Physics 48, no. 7 (2022): 556–59. http://dx.doi.org/10.1063/10.0011604.

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Phase V– T diagrams of freons of the ethane series R152a (CH3-CHF2), R134a (CF3-CH2F), and hexafluoro-ethane (C2F6) were constructed using both literature and our own experimental data. The ethane V– T phase diagram was presented earlier. The jumps in the molar volume during melting and the boundaries of the existence of dynamically orientationally disordered phases have been determined. The V– T phase diagrams of freons of the ethane series turned out to be similar in type, with the exception of ethane, which has three phases near melting.
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34

Sadigh, Babak, Luis Zepeda-Ruiz, and Jonathan L. Belof. "Metastable–solid phase diagrams derived from polymorphic solidification kinetics." Proceedings of the National Academy of Sciences 118, no. 9 (2021): e2017809118. http://dx.doi.org/10.1073/pnas.2017809118.

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Nonequilibrium processes during solidification can lead to kinetic stabilization of metastable crystal phases. A general framework for predicting the solidification conditions that lead to metastable-phase growth is developed and applied to a model face-centered cubic (fcc) metal that undergoes phase transitions to the body-centered cubic (bcc) as well as the hexagonal close-packed phases at high temperatures and pressures. Large-scale molecular dynamics simulations of ultrarapid freezing show that bcc nucleates and grows well outside of the region of its thermodynamic stability. An extensive study of crystal–liquid equilibria confirms that at any given pressure, there is a multitude of metastable solid phases that can coexist with the liquid phase. We define for every crystal phase, a solid cluster in liquid (SCL) basin, which contains all solid clusters of that phase coexisting with the liquid. A rigorous methodology is developed that allows for practical calculations of nucleation rates into arbitrary SCL basins from the undercooled melt. It is demonstrated that at large undercoolings, phase selections made during the nucleation stage can be undone by kinetic instabilities amid the growth stage. On these bases, a solidification–kinetic phase diagram is drawn for the model fcc system that delimits the conditions for macroscopic grains of metastable bcc phase to grow from the melt. We conclude with a study of unconventional interfacial kinetics at special interfaces, which can bring about heterogeneous multiphase crystal growth. A first-order interfacial phase transformation accompanied by a growth-mode transition is examined.
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35

Fedorov, P. P. "Bifurcation of T–x Diagrams of Condensed Binary Systems. Phase Diagrams with Ordered Phases." Russian Journal of Inorganic Chemistry 66, no. 4 (2021): 550–57. http://dx.doi.org/10.1134/s0036023621040100.

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36

Wu, Ji, Xianghong Wang, Yongyun Ji, Linli He, and Shiben Li. "Phase diagrams of diblock copolymers in electric fields: a self-consistent field theory study." Physical Chemistry Chemical Physics 18, no. 15 (2016): 10309–19. http://dx.doi.org/10.1039/c5cp08030d.

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37

Chiu, Chien C., Seshu B. Desu, Zhi J. Chen, and Ching Yi Tsai. "Local equilibrium phase diagrams: SiC deposition in a hot wall LPCVD reactor." Journal of Materials Research 9, no. 8 (1994): 2066–71. http://dx.doi.org/10.1557/jmr.1994.2066.

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Traditional CVD phase diagrams, which neglect the depletion effects in a hot wall reactor and assume the gaseous species concentrations at the substrate are the same as input concentrations, are at best valid for a cold wall reactor. Due to the constant change of gaseous species concentration along the length of the reactor, traditional CVD phase diagrams do not accurately predict the phases in the deposit on the substrate in a hot wall CVD system. In this paper, a new approach to calculate the local equilibrium CVD phase diagrams at the substrate is presented by coupling the depletion effects in a hot wall reactor to the equilibrium thermodynamic computer codes solgasmix-pv. The deposition of SiC using the gas system of methyltrichlorosilane (MTS)-hydrogen (H2) under low pressure was chosen for this study. Differences between the new CVD phase diagrams and the traditional phase diagrams for this gas system are discussed. The calculated CVD phase diagrams are also compared with the experimental data both from our own experiment and from the literature. The local equilibrium phase diagrams predicted the deposition of a single phase of SiC much better than those without the consideration of the depletion effects. The experimental regions for depositing single phase SiC are larger than the calculated local phase diagrams. This is attributed to the higher linear velocity of the gas flux under low pressure and the polarity of the Si carrying intermediate species.
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38

PANSU, BRIGITTE. "ARE SURFACES PERTINENT FOR DESCRIBING SOME THERMOTROPIC LIQUID CRYSTAL PHASES?" Modern Physics Letters B 13, no. 22n23 (1999): 769–82. http://dx.doi.org/10.1142/s0217984999000968.

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Surfaces, like minimal surfaces, are commonly used to describe intricate thermotropic liquid crystalline phase structures: cubic phases, TGB phases, quadratic phases, blue phases, and smectic blue phases. Such geometrical models are good tools to visualize the competition between the various molecular interactions generating these phases although they often cannot lead to the prediction of the thermodynamic phase diagrams.
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39

Stout, J. H., P. H. Edelman, S. W. Peterson, and V. Reiner. "Geochemical Phase Diagrams and Gale Diagrams." SIAM Journal on Applied Mathematics 64, no. 1 (2003): 231–59. http://dx.doi.org/10.1137/s003613990241182x.

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40

Mihailovic, Dragan. "Tuning phase diagrams." Nature Materials 15, no. 9 (2016): 930–31. http://dx.doi.org/10.1038/nmat4744.

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41

Kumar, P. "Complex phase diagrams." Philosophical Magazine 89, no. 22-24 (2009): 1771–77. http://dx.doi.org/10.1080/14786430802585158.

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42

Hockney. "Algorithmic Phase Diagrams." IEEE Transactions on Computers C-36, no. 2 (1987): 231–33. http://dx.doi.org/10.1109/tc.1987.1676886.

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43

Johnson, W. C., and P. W. Voorhees. "Coherent phase diagrams." Bulletin of Alloy Phase Diagrams 9, no. 3 (1988): 208–15. http://dx.doi.org/10.1007/bf02881258.

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44

Ågren, John, and Rainer Schmid-Fetzer. "True Phase Diagrams." Metallurgical and Materials Transactions A 45, no. 11 (2014): 4766–69. http://dx.doi.org/10.1007/s11661-014-2474-z.

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45

Šob, Mojmír, A. Kroupa, J. Pavlů, and J. Vřeštál. "Application of Ab Initio Electronic Structure Calculations in Construction of Phase Diagrams of Metallic Systems with Complex Phases." Solid State Phenomena 150 (January 2009): 1–28. http://dx.doi.org/10.4028/www.scientific.net/ssp.150.1.

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Ab initio electronic structure theory has achieved considerable reliability concerning predictions of physical and chemical properties and phenomena. It provides understanding of matter at the atomic and electronic scale with an unprecedented level of details and accuracy. In the present contribution, the electronic structure theory and state-of-the-art ab initio calculation methods in solids are briefly reviewed and the application of the calculated total energy differences between various phases (lattice stabilities) is illustrated on construction of phase diagrams by the CALPHAD (CALculation of PHAse Diagrams) method in systems containing phases with complex structures, as e.g. Laves phases or sigma phase. Particular examples include description of the Laves phases in the Cr-Nb, Cr-Ta and Cr-Zr systems, sigma-phase in the Fe-Cr system and prediction of the phase composition of ternary Fe-Cr-Mo system and super-austenitic steels. It is shown that the utilization of ab initio results introduces a solid basis of the energetics of systems with complex phases, allows to avoid unreliable estimates and extrapolations of Gibbs energies and brings more physics into the CALPHAD method.
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46

Chen, Qing, Jiping She, and Yang Xiao. "Study of Phase Equilibrium of NaBr + KBr + H2O and NaBr + MgBr2 + H2O at 313.15 K." Journal of Chemistry 2017 (2017): 1–6. http://dx.doi.org/10.1155/2017/2319635.

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The phase equilibrium for the ternary systems NaBr + KBr + H2O and NaBr + MgBr2 + H2O at 313.15 K was investigated by isothermal solution saturation method. The solubilities of salts and the densities of saturated solutions in these ternary systems were determined by chemical methods, while the equilibrium solid phases were analyzed by Schreinermarker wet residues method. Based on the experimental data, phase diagrams and density versus composition diagrams were plotted. The two ternary systems were type of simple common-saturation and without complex salt and solid solution. There are in all two crystalline regions, two univariant curves, and one invariant point in these phase diagrams of two ternary systems at 313.15 K. The equilibrium solid phases in the ternary system NaBr + KBr + H2O are KBr and NaBr·2H2O, and those in the ternary system NaBr + MgBr2 + H2O are NaBr·2H2O and MgBr2·6H2O.
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47

De Aza, A. H., P. Pena, A. Caballero, and S. De Aza. "Los diagramas de equilibrio de fases como una herramienta para el diseño y comprensión del comportamiento en servicio de los materiales refractarios." Boletín de la Sociedad Española de Cerámica y Vidrio 50, no. 6 (2011): 279–90. http://dx.doi.org/10.3989/cyv.372011.

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48

Samatov, Nematjon Akhmatovich. "Selection Of Flow Diagrams Of The Adjustable Thyristor Asynchronous Electric Actuator With Phase Control." American Journal of Engineering And Techonology 02, no. 11 (2020): 19–24. http://dx.doi.org/10.37547/tajet/volume02issue11-03.

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This article discusses the use of thyristors and the choice of a circuit in the control of adjustable asynchronous electric motors. The theoretical foundations and practical aspects of using various control schemes for asynchronous electric drives are presented.
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49

Oppermann, Heinrich, Uwe Petasch, Peer Schmidt, Egbert Keller, and Volker Krämer. "Zu den Zustandssystemen Bi2Ch3/BiX3 und den ternären Phasen auf diesen Schnitten (Ch= S, Se,Te;X= Cl, Br, I). II: Bismutselenidhalogenide Bi2Se3/BiX3 und Bismuttelluridhalogenide Bi2Te3/BiX3 / On the Pseudobinary Systems Bi2Ch3/BiX3 and the Ternary Phases in these Systems (Ch = S, Se, Te; X = Cl, Br, I). II: Bismutselenidhalides Bi2Se3/BiX3 and Bismuttelluridhalides Bi2Te3/BiX3." Zeitschrift für Naturforschung B 59, no. 7 (2004): 727–46. http://dx.doi.org/10.1515/znb-2004-0701.

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In summary, the thermal behaviour of the ternary phases in the pseudo-binary systems Bi2Ch3/BiX3 are described. The thermodynamic data of these phases have been analysed and the appropriate values are given here. The phase diagrams and barograms have been calculated with these data and they are compared with the diagrams that have been obtained experimentally. The crystal structures of the various phases are briefly described.
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50

Qiang, Jian-Bing, De-He Wang, Cui-Min Bao, et al. "Formation rule for Al-based ternary quasi-crystals: Example of Al–Ni–Fe decagonal phase." Journal of Materials Research 16, no. 9 (2001): 2653–60. http://dx.doi.org/10.1557/jmr.2001.0364.

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After examining ternary Al-based quasi-crystalline phase diagrams, we pointed out that the presence of e/a-constant and e/a-variant lines is a common phenomenon. Ternary quasi-crystal compositions are located at the crossing point of these lines in ternary phase diagrams. Such an empirical rule can be used to predict the ternary quasi-crystal compositions from binary ones. We applied this rule to the Al–Fe–Ni system and clarified the decagonal phase composition zone. There are two decagonal phases, D-Al72.5Fe14.5Ni13 and D′-Al705Fe12Ni17.5, that correspond respectively to Al–Fe-based and Al–Ni-based decagonal phases in the same ternary system.
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