Academic literature on the topic 'Vegard’s Law'

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Journal articles on the topic "Vegard’s Law"

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Denton, A. R., and N. W. Ashcroft. "Vegard’s law." Physical Review A 43, no. 6 (March 1, 1991): 3161–64. http://dx.doi.org/10.1103/physreva.43.3161.

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AGUILAR CRUZ, K. A., J. J. MEDEL JUÁREZ, M. T. ZAGACETA ÁLVAREZ, R. PALMA OROZCO, F. CABALLERO-BRIONES, and J. L. FERNÁNDEZ-MUÑOZ. "MODELING OF THE CHEMICAL X-PARAMETER IN PSEUDOBINARY ALLOYS FROM THE SHIFT OF THE X-RAY BRAGG ANGLE: APPLICATION TO CUBIC BaxSr1-xTiO3 FILMS." Digest Journal of Nanomaterials and Biostructures 15, no. 1 (January 2020): 33–40. http://dx.doi.org/10.15251/djnb.2020.151.33.

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Pseudobinary alloys of the type AxB1-xC are expected to obey the Vegard’s law that states a linear relationship between the chemical parameter x and the lattice parameter. However, in many cases, deviations from the Vegard’s are found, and the calculation of x requires compositional characterization, often complicated in the presence of secondary phases of the same material. In the present work, 𝐵𝑎𝑥𝑆𝑟(1−𝑥)𝑇𝑖𝑂3 (BSTO) films were deposited by RF co-sputtering from 𝐵𝑎𝑇𝑖𝑂3 and 𝑆𝑟𝑇𝑖𝑂3 targets to obtain differently 𝐵𝑎⁄𝑆𝑟 ratios considering the different RF-power applied to each target. We describe a mathematical model based on the Boltzmann equation to calculate the 𝑥 parameter of the cubic phase of the BSTO films in the 0 ≤ 𝑥 ≤ 1 range. That was made by following the 2𝜃 diffraction angular shift of the plane (111) upon the increase of substitutional Ba2+ in the pseudobinary alloy, as a function of the RF applied power and fitting the interplanar distances and lattice parameter in the alloys were calculated onto the fitted sigmoid trajectory. The model showed the region where the lattice parameter a vs x obeys the Vegard’s law and correctly fitted “a” in the entire 0<x<1 range. The model can be applicable to other pseudobinary systems with deviations from the Vegard’s law, from a simple X-ray diffraction analysis, providing fast chemical information, complementary with further compositional characterization.
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Khavrov, G. D., V. V. Kaminski, N. V. Sharenkova, and A. A. Vinogradov. "Features of the Implementation of the Vegard’s Law in Thin Films of Rare Earth Elements Compounds." Key Engineering Materials 822 (September 2019): 795–800. http://dx.doi.org/10.4028/www.scientific.net/kem.822.795.

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In this work, the fulfillment of Vegard's law in thin polycrystalline films Sm1-xGdxS and Sm1-xEuxS, obtained by the method of explosive evaporation of the powder in vacuum, is investigated. It is shown that compliance with the Vegard law in the manufacture of thin-film structures based on Sm1-xEuxS solid solutions is possible only with the same technological parameters of film deposition, in particular, the substrate temperature. In the case of the Sm1-xGdxS solid solutions, the law is observed only in the metal phase of the solid solutions, with x> 0.12.
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Magomedov, M. N. "On Deviations from Vegard’s Law at Increasing Pressure in Alloys." Inorganic Materials 56, no. 9 (September 2020): 903–8. http://dx.doi.org/10.1134/s0020168520090125.

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Adarakatti, Shashidhar N., Veeresh S. Pattar, Prashant K. Korishettar, Bhagyashri V. Grampurohit, Ravindra G. Kharabe, Akshay B. Kulkarni, Shridhar N. Mathad, Chidanandayya S. Hiremath, and Rangappa B. Pujar. "Synthesis, Structural and Electrical Studies of Li-Ni-Cu Nano Ferrites." Acta Chemica Iasi 26, no. 1 (July 1, 2018): 1–12. http://dx.doi.org/10.2478/achi-2018-0001.

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Abstract Li-Ni ferrite has gained great scientific elicit owing to of its unparalleled properties and applications. The copper doped Li-Ni ferrite has been synthesized by sucrose method. The structure was characterized by X-ray diffraction, which has confirmed the formation of single-phase spinel structure. X-ray diffraction and FTIR data reveals the formation of cubic structure phase. Unit cell parameters vary with copper content; overall variation of the unit cell parameters obeys Vegard’s law. The main absorption bands of spinel ferrite have appeared through IR absorption spectra recorded in the range of 300–700 cm−1. The copper concentration dependence of lattice parameters obeys Vegard’s law. DC electrical resistivity of the prepared samples decreases with increasing in the temperature which shows the semiconducting behaviour of all nano ferrites. The most prominent influence copper doping on the electrical properties of Li-Ni ferrites has been reported.
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Li, Wei, Markus Pessa, and Jari Likonen. "Lattice parameter in GaNAs epilayers on GaAs: Deviation from Vegard’s law." Applied Physics Letters 78, no. 19 (May 7, 2001): 2864–66. http://dx.doi.org/10.1063/1.1370549.

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Prasad, Raj Kumar, and Parmanand Mahto. "Lattice Distortion in Zn1-x Mx O(M=V,Mn) and Vegard’s Law." Indian Journal of Applied Research 3, no. 5 (October 1, 2011): 40–41. http://dx.doi.org/10.15373/2249555x/may2013/183.

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Liou, B. T., S. H. Yen, and Y. K. Kuo. "Vegard’s law deviation in band gap and bowing parameter of AlxIn1-xN." Applied Physics A 81, no. 3 (August 2005): 651–55. http://dx.doi.org/10.1007/s00339-004-2711-1.

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Domashevskaya, É. P., P. V. Seredin, É. A. Dolgopolova, I. E. Zanin, I. N. Arsent’ev, D. A. Vinokurov, A. L. Stankevich, and I. S. Tarasov. "Vegard’s law and superstructural phases in AlxGa1−x As/GaAs(100) epitaxial heterostructures." Semiconductors 39, no. 3 (March 2005): 336–42. http://dx.doi.org/10.1134/1.1882797.

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Rackham, Jonathan C., Bin Zou, and Michelle A. Moram. "Towards Two-Dimensional Oxides for Optoelectronic Applications." MRS Advances 3, no. 3 (2018): 147–51. http://dx.doi.org/10.1557/adv.2018.219.

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ABSTRACTPreliminary thin films of barium zirconate-titanate (BZT) are grown by pulsed laser deposition from bulk ceramic targets on magnesium oxide (001) substrates. Growth conditions are optimized for film crystallinity and thick (100 nm) films are deposited. These films are seen to be growing with a cube-on-cube epitaxial relation. The lattice constant of the alloy follows Vegard’s law as expected but shows a reasonable amount of non-linearity in the relation between band gap and composition.
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Dissertations / Theses on the topic "Vegard’s Law"

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Silva, Luciane Janice Venturini da. "Produção e caracterização de filmes finos de ZnO." Universidade Federal de Santa Maria, 2010. http://repositorio.ufsm.br/handle/1/9210.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Among the semiconducting oxides, ZnO has received considerable attention as a promising material for several applications in optoelectronic devices due to its high optical transparency in the visible range and good electrical conductivity achieved by doping with suitable elements. The present work, part developed in the Laboratório de Magnetismo e Materiais Magnéticos Nanoestruturados (UNIPAMPA/BAGÉ) and part in the Laboratório de Magnetismo e Materiais Magnéticos (UFSM), aimed mainly the development of an experimental procedure of ZnO thin films potentiostatic electrodeposition using 0.1 M aqueous solution of zinc nitrate seeking potential applications in solar cells. The electrodeposition technique is the growth of certain material on a solid substrate by electrochemical reactions and emerges as an alternative to traditional techniques (sputtering, sol-gel, spray pyrolysis) production of thin films. Besides being relatively easy to implement and has low production cost. The ZnO thin films were deposited on Au (111) substrates, obtained from commercial CD-Rs (CDtrodos). Voltammetry technique was used for the electrochemical processes involved analysis and to establish suitable areas of potential for films growth. ZnO deposits were characterized by X-ray diffraction and atomic force microscopy (AFM) techniques.
Dentre os óxidos semicondutores, o ZnO tem recebido considerável atenção como um material promissor para diversas aplicações em dispositivos opto-eletrônicos devido a sua alta transparênciaóptica na faixa do visível e boa condutividade elétrica alcançada por dopagem com elementos adequados. O presente trabalho, desenvolvido parte no Laboratório de Magnetismo e Materiais Magnéticos Nanoestruturados (UNIPAMPA/BAGÉ) e parte no Laboratório de Magnetismo e Materiais Magnéticos (UFSM), teve como objetivo principal o desenvolvimento de um procedimento experimental de eletrodeposição potenciostática de filmes finos de ZnO visando possíveis aplicações em células solares, utilizando-se 0:1M de solução aquosa de nitrato de zinco. A técnica de eletrodeposição consiste no crescimento de determinado material sobre um substrato sólido através de reações eletroquímicas e surge como uma alternativa às técnicas tradicionais (sputtering, sol-gel, spray-pirólise) de produção de filmes finos. Além de ser relativamente de fácil implementação e tem baixo custo de produção. Os filmes finos de ZnO foram depositados sobre substratos de Au (111), obtidos a partir de CD-Rs comerciais (CDtrodos). Utilizou-se a técnica de voltametria para analise dos processos eletroquímicos envolvidos e para estabelecer as regiões de potenciais adequadas para crescimento dos filmes. Os depósitos de ZnO foram caracterizados utilizando as técnicas de difração de raios-X e microscopia de força atômica (AFM).
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Dan, Tinku. "Local Structural Investigations of Composition-driven Changes in Inorganic Solid Solutions." Thesis, 2020. https://etd.iisc.ac.in/handle/2005/4835.

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A smaller sized dopant replacing a larger sized element in a compound creates chemical pressure, resulting in a contraction of the lattice parameter and likewise a “negative” pressure is created by substitution of larger ion. Since the “chemical pressure” concept implicitly presupposes a contraction of the bond-lengths, as under the application of a physical pressure, and therefore, leading to the changes in the lattice parameters, we critically evaluate these concepts of Vegard’s Law and chemical pressure by investigating local bond-lengths at the atomic scale to see how these evolve with the composition in a solid solution. We have investigated three related series of solid solutions, namely ZnSexS1-x, CdSexS1-x (anion substitution) and ZnxCd1-xSe (cation substitution). We find that the nearest neighbour bond-lengths, namely Zn-Se and Zn-S in ZnSexS1-x, Cd-Se and Cd-S in CdSexS1-x, and Zn-Se and Cd-Se in ZnxCd1-xSe, are insensitive to the changing composition and remains within 1% of the original bond-length of the parent compound; this is only about one-fourth of what would be expected on the basis of the changes in the lattice parameters across the given solid-solution. This apparent disagreement with the Vegard’s Law, requiring a smooth evolution of the lattice parameters with the composition, is resolved by our observation that the third nearest neighbour bond-distances in all cases vary in conformity with the Vegard’s Law. Our results for the second nearest neighbour bond-lengths provide us with the answer to this question, indicating that the bond angles (MX4/ XM4 angle, where, M/X = cation/anion) change with the composition while the bond-lengths remain relatively invariant, leading to the observed changes. We extend this study to investigate the remarkable influence doping of Ti and Cr at the V site has on the well-known metal-insulator transition (MIT) in V2O3. The drastic modifications of th e MIT on Ti and Cr doping with such dissimilar sized ions have been equated with positive and negative pressure effects, respectively. However, this is surprising, since Ti3+ being a larger ion and Cr3+ a smaller one compared to V3+ ions, one would expect Ti doping to correspond to a dilation of the lattice and hence correspond to a negative pressure, with Cr doping leading to a contraction of the lattice parameters to represent a positive pressure, exactly opposite of what has been claimed in the literature. We use local structural investigations to establish that the doping of Ti leads to an electronic reconstruction, leading to the formation of Ti4+ with the additional electron being donated to the V states and driving the system towards metallicity. Doping of Cr on the other hand conforms to a more conventional view of doping with local structural adjustments due to the presence of the smaller sized Cr3+ at the V3+ site without any electronic reconstruction.
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Mukherjee, Soham. "Local Structure-Property Relationship in Some Selected Solid State Materials." Thesis, 2015. http://etd.iisc.ac.in/handle/2005/3931.

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The thesis entitled “Local structure-property relationship in some selected Solid State Materials” mainly focuses on two fundamental topics: (a) evaluation of some standard global structural concepts in terms of local structure to provide a unique description of the crystal structure, and (b) the role of the crystal structure at different length-scales in controlling the properties in some selected materials.
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Mukherjee, Soham. "Local Structure-Property Relationship in Some Selected Solid State Materials." Thesis, 2015. http://etd.iisc.ernet.in/2005/3931.

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The thesis entitled “Local structure-property relationship in some selected Solid State Materials” mainly focuses on two fundamental topics: (a) evaluation of some standard global structural concepts in terms of local structure to provide a unique description of the crystal structure, and (b) the role of the crystal structure at different length-scales in controlling the properties in some selected materials.
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Book chapters on the topic "Vegard’s Law"

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Troć, R. "(U, Th)S: Lattice Parameter and Vegard's Law." In Actinide Monochalcogenides, 507. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-47043-4_75.

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Kasper, E., A. Schuh, G. Bauer, B. Holländer, and H. Kibbel. "Test of Vegard's law in thin epitaxial SiGe layers." In Selected Topics in Group IV and II–VI Semiconductors, 68–72. Elsevier, 1996. http://dx.doi.org/10.1016/b978-0-444-82411-0.50022-x.

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Conference papers on the topic "Vegard’s Law"

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Heisbourg, G., N. Dacheux, G. Lagarde, S. Hubert, and J. Ritt. "Kinetic Study of the Crystallized ThO2 and Solid Solutions Th1−xUxO2 Dissolution." In ASME 2001 8th International Conference on Radioactive Waste Management and Environmental Remediation. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/icem2001-1288.

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Abstract Thorium dioxide is an important material for the nuclear industry. In the last decade, there has been a renewal of interest in studying the feasibility of thorium based fuel reactor to decrease the minor actinides production during the burn-up. Furthermore the resistance of the thorium dioxide to aqueous corrosion can make this material attractive for immobilizing tetravalent actinides. Leaching tests of powdered samples of thorium dioxide calcinated at 1300°C showed that the normalized dissolution rate is very low (between 10−6 and 10−7 g/(m2.d) in acidic media, and 10−9–10−10 g/(m2.d) after pH&gt;3 when the formation of colloïdes occurs. Thorium dioxide which is isomorphic with the actinide dioxides such as UO2, PuO2 allows the formation of solid solutions whatever the concentration of the actinide. Several solid solutions Th1−xUxO2 were synthesized with mole-ratios Th/(U+Th) ranging from x = 0 to 1. X-ray powder diffraction data allowed to check that the Vegard’s law is respected in all the range, and specific surface area was also measured. The resistance of the solid-solution to aqueous corrosion was measured as a function of several parameters (leaching time, leachate acidity, uranium concentration) and the kinetics of solid solutions dissolution was determined as a function of the uranium concentration. The stoechiometry of the release of both actinides was verified, however due to the oxidization of U (IV) in U (VI) in contact with the leachate, the dissolution rate of both thorium and uranium increases with the thorium substitution in the solid by uranium (TV).
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Liou, Bo-Ting, Sheng-Horng Yen, and Yen-Kuang Kuo. "Vegard's law deviation in band gaps and bowing parameters of the wurtzite III-nitride ternary alloys." In Photonics Asia 2004, edited by Jian-quan Yao, Yung Jui Chen, and Seok Lee. SPIE, 2005. http://dx.doi.org/10.1117/12.575300.

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Jadhav, S. L., A. L. Jadhav, K. R. Kharat, A. V. Kadam, J. L. Bhosale, and T. S. Magdum. "Effect of Cd2+ Substituted Nickel Ferrite oxide (Ni1-xCdxFe2O4) on Magnetic, Dielectric and Structural Properties." In National Conference on Relevance of Engineering and Science for Environment and Society. AIJR Publisher, 2021. http://dx.doi.org/10.21467/proceedings.118.57.

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The effect of cadmium (Cd2+) substituted at the NiFe2O4 nano materials were this nano material synthesized by auto-combustion technique. The structural analysis confirms that the samples are polycrystalline nature with spinel cubic crystal symmetry. The effect of Cd2+ contains on lattice constants which obeys Vegard's law. The morphological analysis shows that the highly porous structure with spongy like surface morphology. The observed absorption infrared spectra confirm that the exhibits the nano ferrite materials. The magnetic properties measurements reveal that the saturation of magnetization decreases with an increase in constituent Cd2+ in nickel ferrous oxide. The Cd2+ ions present in A-site and Fe3+ are distributed in both tetrahedral and octahedral sites of spinel lattice. The DC measurement shows that the semiconducting behaviour of the prepared Ni1-xCdxFe2O4. The increase in Cd2+ constituent in the nickel ferrite with decrease curie temperature. The dielectric measurement of all samples shows the usual dielectric dispersion with frequency. The impedance spectroscopy analysis suggests grain interior contribution in the conduction process.
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