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Journal articles on the topic 'Williamson-Hall method'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

Sholehah, Amalia, and Akhmad Herman Yuwono. "Stress – Strain Analysis on ZnO Nanostructures Synthesized via Wet Chemistry Method." Advanced Materials Research 1112 (July 2015): 57–61. http://dx.doi.org/10.4028/www.scientific.net/amr.1112.57.

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In the present work, ZnO nanostructures were synthesized via wet chemistry method. The seeding solution was prepared from zinc nitrate tetrahydrate and hexamethylenetetramine. Prior to the heating process, the seeding solution was immersed in cold bath (0°C). XRD analysis had shown sharp peaks in diffractogram, indicating the high crystallinity of ZnO nanostructures. The crystallite size was determined using Scherrer equation and Williamson-Hall method. Other relevant parameters including stress, strain, and energy density were calculated using Williamson-Hall assuming UDM, UDSM, and UDEDM. Th

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2

Lakel, A. "Microstructural Studies of Materials DD1 and KT2 By X-Ray Diffraction." Journal of Building Materials and Structures 6, no. 1 (2019): 20–31. https://doi.org/10.5281/zenodo.2606600.

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<strong>Abstract</strong>: In this work, we have studied two Kaolin .kaolin DD1 which consists of two main phases (kaolinite and Halloysite) and Tamazert kaolin .kaolin KT2 whose main constituents are kaolinite, quartz and mica. Our choice was set on the component that is Kaolinite because of the existence of the latter in both kaolins. A correction of Lorentz-Polarization was carried out prior to the diffraction data, which has been achieved using LWL program dome. The true profile was extracted by this program. The methods used for the micro structural analysis of the present in the two Kaol

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3

Magalhães, S., J. S. Cabaço, R. Mateus, et al. "Crystal mosaicity determined by a novel layer deconvolution Williamson–Hall method." CrystEngComm 23, no. 10 (2021): 2048–62. http://dx.doi.org/10.1039/d0ce01669a.

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4

Lakel, Abdelghani. "Microstructural Studies of Materials DD1 and KT2 By X-Ray Diffraction." Journal of Building Materials and Structures 6, no. 1 (2019): 20–31. http://dx.doi.org/10.34118/jbms.v6i1.65.

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In this work, we have studied two Kaolin .kaolin DD1 which consists of two main phases (kaolinite and Halloysite) and Tamazert kaolin .kaolin KT2 whose main constituents are kaolinite, quartz and mica. Our choice was set on the component that is Kaolinite because of the existence of the latter in both kaolins. A correction of Lorentz-Polarization was carried out prior to the diffraction data, which has been achieved using LWL program dome. The true profile was extracted by this program. The methods used for the micro structural analysis of the present in the two Kaolins are the Warren - Averba

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5

Aghdaee, S. R., and V. Soleimanian. "Dislocations, crystallite size, and planar faults in nanocrystalline ceria." Powder Diffraction 24, no. 3 (2009): 228–33. http://dx.doi.org/10.1154/1.3187210.

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The modified Williamson–Hall and Warren–Averbach methods were used successfully for analyzing experimentally observed anisotropic X-ray diffraction line broadening and for determining reliable values of crystallite size and dislocation density in cerium oxide. The modified Williamson–Hall plot gives 22.3(2) nm for volume-weighted crystallite size, while the modified Warren–Averbach produces 18.0(2) nm for area-weighted grain size. The dislocation density and effective outer cut-off radius of dislocations obtained from the modified Warren–Averbach method are 1.8(3)×1015 m−2 and 15.5(1) nm, resp

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Jahil, Sarab S., Intehaa A. Mohammed, Ahlam R. Khazaal, Kareem A. Jasim, and Khalid H. Harbbi. "Application the Halder – Wagner to Calculation Crystal Size and Micro Strain by X-ray Diffraction Peaks Analysis." NeuroQuantology 20, no. 1 (2022): 199–204. http://dx.doi.org/10.14704/nq.2022.20.1.nq22074.

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This study refers to the development and characterization of silver oxide nanoparticles obtained by X-ray diffraction, nanostructured silver oxide was used in order to calculate the micro strain and crystal size by Halder-Wagner method and by relying on X-ray diffraction diagram of the nonstructural silver oxide, where the results of the crystal size and the micro-strain were 4nm and 0.33 respectively. Other analysis techniques, such as the Size-strain plot, The X-ray diffraction study confirmed that the crystalline nature of silver oxide nanoparticles has a cubic structure. Through the X-ray

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Saryanto, Hendi, S. Khaerudini Deni, Pudji Untoro, Mat Husin Saleh, and Darwin Sebayang. "Determination of Nanocrystalline Fe₈₀Cr₂₀ Powder Based Alloys Using Williamson-Hall Method." Advanced Materials Research 129-131 (August 2010): 999–1003. http://dx.doi.org/10.4028/www.scientific.net/amr.129-131.999.

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The aim of this study is to determine the nanocrystalline size by using Williamson-Hall method of Fe80Cr20 powder which prepared by mechanical alloying process. X-rays diffraction line profile analysis was adopted to analyze the crystallite size and microstrains of Fe80Cr20 alloys powder. Transmission Electron Microscopy (TEM) was used to examine the microstructure morphology of the nanosized of Fe80Cr20 alloys. The crystallite size, microstrain, and lattice parameters were estimated by Williamson–Hall plot. The results showed that the mechanical alloying processes resulted the final product i

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8

Burgess, Michael, Alberto Leonardi, Matteo Leoni, and Paolo Scardi. "Diffraction line broadening from nanocrystals under large hydrostatic pressures." Powder Diffraction 28, S2 (2013): S184—S196. http://dx.doi.org/10.1017/s088571561300105x.

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Atomistic copper nanocrystals were investigated via Molecular Dynamics (MD) under hydrostatic pressure to probe the relationship between applied load and structure deformation. The corresponding X-ray powder diffraction patterns were generated from the atomic coordinates. The analysis followed both the traditional Williamson-Hall approach based on pseudo-Voigt fitting and an alternative, more accurate method able to derive the integral breadths without applying a fitting. The Williamson-Hall results show discrepancies not fully associated with an issue of fitting.

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9

Kalceff, Walter, James P. Cline, and Robert B. Von Dreele. "Size/Strain Broadening Analysis of SRM 676 Candidate Materials." Advances in X-ray Analysis 37 (1993): 343–49. http://dx.doi.org/10.1154/s0376030800015858.

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AbstractA project was undertaken to compare the Williamson-Hall and Fourier teclrniques for analyzing particle-size and micro-strain induced x-ray line profile broadening. The four alumina powders analyzed in the study were the candidates from which SRM 676, a quantitative analysis Standard Reference Material, was chosen. SRM 660 (LaB6) was used to determine the instrument profile function, IPF. However, difficulty was encountered in fitting an appropriate mathematical model to the IPF data; this prevented the application of Fourier analysis methods and restricted the number of profiles that c

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10

Ünal, Fatma. "Straightforward route for terbium oxide powders: synthesis, morphology, and microstructural parameters." International Journal of Materials Research 113, no. 4 (2022): 287–94. http://dx.doi.org/10.1515/ijmr-2021-8484.

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Abstract The goals of this study lie in the endeavour to synthesise terbium oxide powders, calculation of the average crystallite size, lattice parameter, lattice strain and dislocation density by using X-ray diffraction peak broadenings and, particularly, examination of the effects of precursor molarity on morphology, microstructural parameters and crystal imperfections. The X-ray diffraction patterns demonstrated that the powders had pure cubic bixbyite body-centred phase with high crystallinity. The crystallite size values varied between 21.05 and 31.45 nm depending on both precursor molari

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11

Scardi, P., M. Leoni, and R. Delhez. "Line broadening analysis using integral breadth methods: a critical review." Journal of Applied Crystallography 37, no. 3 (2004): 381–90. http://dx.doi.org/10.1107/s0021889804004583.

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Integral breadth methods for line profile analysis are reviewed, including modifications of the Williamson–Hall method recently proposed for the specific case of dislocation strain broadening. Two cases of study, supported by the results of a TEM investigation, are considered in detail: nanocrystalline ceria crystallized from amorphous precursors and highly deformed nickel powder produced by extensive ball milling. A further application concerns a series of Fe–Mo powder specimens that were ball milled for increasing time. Traditional and modified Williamson–Hall methods confirm their merits fo

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12

TAKAKI, Setsuo, Takuro MASUMURA, and Toshihiro TSUCHIYAMA. "Proposal of Analysis Accuracy Improvement Method in Modified Williamson-Hall Method." Journal of the Society of Materials Science, Japan 69, no. 9 (2020): 661–65. http://dx.doi.org/10.2472/jsms.69.661.

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13

T. A. Al-Dhahir, Entisar E. Al-Abodi, Tagreed. M. Al-Saadi, and Latif Issam. "Zno nanoparticles: Synthesis and crystal structure study." Journal of Wasit for Science and Medicine 7, no. 3 (2023): 87–95. http://dx.doi.org/10.31185/jwsm.374.

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(Zn(NO2)2.6H2O) and (NaOH) are used for synthesis ZnO nanostructures by one step reaction at 80℃ . X-ray diffraction (XRD) pattern referes polycrystalline nature with a hexagonal structure. Rietveld refinement (curried out by fullprof software) of XRD patterns a provide accurate values for the lattice parameter a=3.250353 0.00009 Å , c=5.207006 0.00020Å where c/a ratio is 1.601981. The average crystalline size was calculated by Debye-Scherrer method about 30 nm. The effects of strain in X- ray line broadening of ZnO nanoparticles (NPs) were investigated by Williamson-Hall method revealed that

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Bolotnikova, Anastasiia. "DETERMINATION OF THE SIZES OF PARTICLES OF SUPERCONDUCTING CUPRATE Y3Ba5Cu8OX BY MEANS OF DIFFERENT METHODS." Technology transfer: fundamental principles and innovative technical solutions 4 (November 30, 2020): 10–13. http://dx.doi.org/10.21303/2585-6847.2020.001504.

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The superconducting cuprate Y3Ba5Cu8Ox was obtained with the help of sol-gel technology (sample C), co-precipitation of hydroxocarbonates (sample B) and solid-phase synthesis methods (A). Based on the results of scanning electron microscopy and methods based on the analysis of X-ray diffraction data: the Williamson-Hall construction and the Scherrer formula, features of the microstructure of the synthesized samples are established. The smallest particle size has a sample that has been synthesized by the sol-gel method. The tendency to aggregation and sedimentation for this sample is the smalle

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15

Pudovkin, M. S., D. A. Koryakovtseva, E. V. Lukinova, et al. "Characterization of Pr-Doped LaF3 Nanoparticles Synthesized by Different Variations of Coprecipitation Method." Journal of Nanomaterials 2019 (March 7, 2019): 1–17. http://dx.doi.org/10.1155/2019/7549325.

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A set of Pr3+:LaF3 nanoparticles (NPs) were synthesized via coprecipitation method at three stoichiometric proportions of La(NO3)3, Pr(NO3)3, and NaF (1 : 0.8, 1 : 1, and 1 : 6, respectively). Two ways of mixing of the La(NO3)3, Pr(NO3)3, and NaF solutions (dropwise and swift addition) were used. One sample was subjected to microwave (MW) treatment for 30, 90, and 180 min. All the samples were characterized by transmission electron microscopy (TEM) and X-ray diffraction (XRD). For all the samples, optical spectroscopy experiments were carried out. The XRD data were analyzed via the Debye-Scher

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16

Choudhury, Rajul Ranjan, R. Chitra, and M. Ramanadham. "Investigation of diffraction line broadening due to compositional fluctuations in L-alanine-doped triglycine sulfate." Acta Crystallographica Section B Structural Science 59, no. 5 (2003): 647–52. http://dx.doi.org/10.1107/s0108768103015441.

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Broadening of X-ray powder diffraction peaks as a result of compositional disorder in L-alanine-doped triglycine sulfate crystals is investigated using the Williamson–Hall method. The analysis indicates that L-alanine substitution in triglycine sulfate crystals leads to anisotropic strain in the crystal.

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17

M. Al-Saadi, Tagreed, and Zahraa A. Kamil. "Study the Effect of Manganese Ion Doping on the Size- Strain of SnO2 nanoparticles Using X-Ray Diffraction Data." Ibn AL-Haitham Journal For Pure and Applied Sciences 36, no. 3 (2023): 158–66. http://dx.doi.org/10.30526/36.3.3052.

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In this study, SnO2 nanoparticles were prepared from cost-low tin chloride (SnCl2.2H2O) and ethanol by adding ammonia solution by the sol-gel method, which is one of the lowest-cost and simplest techniques. The SnO2 nanoparticles were dried in a drying oven at a temperature of 70°C for 7 hours. After that, it burned in an oven at a temperature of 200°C for 24 hours. The structure, material, morphological, and optical properties of the synthesized SnO2 in nanoparticle sizes are studied utilizing X-ray diffraction. The Scherrer expression was used to compute nanoparticle sizes according to X-ray

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18

Mazurenko, Julia, Larysa Kaykan, Khrystyna Bandura, et al. "Analysis of the Structural, Morphological, and Elastic Properties of Nanosized CuFe2O4 Spinel Synthesized via Sol-Gel Self-Combustion Method." Physics and Chemistry of Solid State 25, no. 2 (2024): 380–90. http://dx.doi.org/10.15330/pcss.25.2.380-390.

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Nanosized CuFe2O4 ferrite was synthesized through the sol-gel self-combustion technique, using iron and copper nitrates with citric acid as fuel. The synthesized ferrite was subsequently analyzed using X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR), and Scanning Electron Microscopy (SEM). X-ray diffraction studies validated the crystalline nature of the CuFe2O4, identifying it as having a mixed spinel structure within the Fd3m space group. Particle sizes were quantified using several methods including Debye-Scherrer, Williamson-Hall, Halder-Wagner, modified Debye-Scher

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19

Sebayang, Darwin, Firdianto Ade, Putrasari Yanuandri, Agustian Egi, Hendi Saryanto та Pudji Untoro. "Preparation of Nanocrystalline γ-Alumina Using Ultrasonic Technique". Advanced Materials Research 129-131 (серпень 2010): 1034–38. http://dx.doi.org/10.4028/www.scientific.net/amr.129-131.1034.

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The γ-alumina powder is a potential material for washcoat application. This paper shows the preparation of γ-alumina using ultrasonic technique in order to obtain nanocrystalline of γ-alumina powder. The 50 gr of the γ-alumina powders was treated in the 250 gr ethanol solution using ultrasonic technique within 10, 20, 30, and 60 minutes, respectively. The process of sonication was set at the fixed frequency (18.520 kHz) and current of 2 A. Crystallite size was evaluated by using X-ray diffraction (XRD) data based with Scherrer analysis and Williamson-Hall method. The microstructural characteri

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20

Nefale, Mpho Mendy, Mekonnen Shiferaw Ayano, Olumuyiwa Otegbeye, and Shina Daniel Oloniiju. "Overlapping Multi-Domain Paired Quasilinearization Method for the Solution of the MHD Williamson-Nanofluid Flow Over an Exponentially Stretching Surface." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 126, no. 1 (2025): 17–38. https://doi.org/10.37934/arfmts.126.1.1738.

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This study examines a non-Newtonian fluid model representing shear-thinning behaviour with applications in both biological and industrial fields. While prior research has investigated the fluid's dynamics in various contexts, the combined effects of the Williamson fluid model and additional parameters remain underexplored. This work focuses on the analysis of magnetohydrodynamic Williamson-nanofluid flow over an exponentially stretched surface. To solve the transformed model equations, an advanced numerical approach, the overlapping multi-domain paired quasilinearization method (OMD-PQLM), is

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21

Masumura, Takuro, Setsuo Takaki, Fulin Jiang та Toshihiro Tsuchiyama. "Discussion about Procedure for Determining Parameter α in Modified Williamson-Hall Method". Tetsu-to-Hagane 104, № 11 (2018): 717–19. http://dx.doi.org/10.2355/tetsutohagane.tetsu-2018-095.

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22

., Nidhi, Shalini Dubey, Arpit Swarup Mathur, B. P. Singh, and Devendra Kumar. "Analysis of Mechanical Parameters of Zinc Oxide Nanoparticles using Williamson–Hall Method." Journal of Nanoscience and Technology 5, no. 2 (2019): 666–68. http://dx.doi.org/10.30799/jnst.225.19050205.

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23

Kirste, L., K. M. Pavlov, S. T. Mudie, V. I. Punegov, and N. Herres. "Analysis of the mosaic structure of an ordered (Al,Ga)N layer." Journal of Applied Crystallography 38, no. 1 (2005): 183–92. http://dx.doi.org/10.1107/s0021889804030675.

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The mosaic structure of an (Al,Ga)N layer grown on (0001) sapphire showing natural ordering was studied by high-resolution X-ray diffraction (HRXRD) reciprocal-space mapping. The direction-dependent mosaicity of the layer has been elaborated using maps of symmetrical and asymmetrical reflections. The reciprocal-lattice points show significant broadening depending on the direction in reciprocal space, the diffraction order and the reflection type (fundamental or superstructural). The evaluation followed two paths: (i) a procedure based on the Williamson–Hall plot and (ii) a new approach based o

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Shalimov, A., M. T. Borowiec, T. Zayarnyuk, M. C. Pujol, M. Aguiló, and F. Díaz. "Coherence length of the KY(WO4)2 single crystal." Acta Crystallographica Section B Structural Science 64, no. 3 (2008): 287–90. http://dx.doi.org/10.1107/s0108768108009063.

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Potassium yttrium tungstate is a monoclinic crystal with space group C2/c. The specific X-ray investigations presented in this article determine the coherence scattering length for this crystal. The scattering profiles were obtained using a Philips MRD X-ray diffractometer. The Williamson–Hall method was used to determine the coherence scattering length and internal stresses.

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Kapush, O. А., N. V. Mazur, A. V. Lysytsya, et al. "Physical properties of nanocrystaline PbS synthesized by electrolytic method." Physics and Chemistry of Solid State 24, no. 2 (2023): 262–68. http://dx.doi.org/10.15330/pcss.24.2.262-268.

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The possibility of obtaining nanocrystaline lead sulfide by an electrolytic method using lead electrodes is demonstrated, and the influence of temperature on the synthesis process is investigated. Based on the results of X-ray diffraction studies, the chemical and phase composition of the obtained samples is determined, as well as the parameters of the unit cell of the crystals lattice. The size of the nanocrystallites and the magnitude of residual mechanical strain in them is determined using the methods of Debye-Scherrer and Williamson-Hall. The results of X-ray diffraction are in agreement

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Ivanov, Ivan, Daria Safarova, Zinaida Bataeva, and Ivan Bataev. "Comparison of approaches based on the Williamson-Hall method for analyzing the structure of an Al0.3CoCrFeNi high-entropy alloy after cold deformation." Metal Working and Material Science 24, no. 3 (2022): 90–102. http://dx.doi.org/10.17212/1994-6309-2022-24.3-90-102.

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Introduction. High-entropy alloys (HEAs) belong to a new and promising class of materials that are attracting the attention of both scientists and engineers from all over the world. Among all alloys of the AlxCoCrFeNi system, HEAs with x ≤ 0.3 attract special attention. Materials with this composition are characterized by the presence of only one phase with a face-centered cubic lattice (FCC). Such alloys have high ductility, excellent corrosion resistance and phase stability at high temperatures. The purpose of this work is to compare several methods of profile analysis on the example of plas

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Vaganova, I. V., L. N. Maskaeva, V. I. Voronin, V. F. Markov, and V. G. Bamburov. "New approach at x-ray investigation of microstructure of supersaturated films of CdxPb1-xS solid substitutional solutions." Доклады Академии наук 484, no. 5 (2019): 554–58. http://dx.doi.org/10.31857/s0869-56524845554-558.

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The films of supersaturated CdxPb1-xS solid substitutional solutions (0 < x < 0,25) with thickness 0.6–1.0 μm were synthesized by chemical bath deposition. The dependences of dislocation density, crystallite sizes and texture coefficient versus the cadmium content in the films were determined by analyzing X-ray diffraction spectra with the use of modified method of Williamson—Hall (MWH).

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Mohammed, A. A., M. A. Ahmed, and S. M. Jassim. "Preparation and investigation of the structural and optical characteristics of manganese- doped cadmium oxide films." Digest Journal of Nanomaterials and Biostructures 18, no. 2 (2023): 613–25. http://dx.doi.org/10.15251/djnb.2023.182.613.

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In this paper, undoped and Mn-doped CdO thin films deposited on the glass substrates by the chemical spray pyrolysis method (CSP) technique. The prepared thin films characterized by XRD, AFM, FESEM and UV visible. The results of the X-ray diffraction patterns revealed that the prepared films have a polycrystalline structure and a cubic structure. The crystallite size (D) value for all prepared films was calculated using Scherrer's method, Williamson-Hall method and size strain plot (SSP) method, from the results, it was observed that, the crystallite size decreases with increase in doping rati

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Dani, Mohammad, Aziz Khan Jahja, Parikin Parikin, Andon Insani, and Riza Iskandar. "Strain analysis in ferritic filler weldment by using the modified Williamson-hall method." Malaysian Journal of Fundamental and Applied Sciences 13, no. 4 (2017): 754–59. http://dx.doi.org/10.11113/mjfas.v0n0.771.

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A strain analysis study of the Fe-Cr-Ni based low carbon steel for welding application prepared by a thermal-induction furnace were performed using a modified Williamson-Hall (MHW) method. Three different models, uniform deformation (UDM), the uniform deformation stress (UDSM), and the the uniform deformation energy density (UDEDM) models. The optimal results showed by calculation result using UDM method indicate that uniform deformation was present on analyzed material. Based on UDM method, the welded material contains smaller grain size than the based materials. The calculated of average mic

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Brisotto, Mariangela, Marcello Gelfi, Claudia Rinaldi, and Laura Eleonora Depero. "Study of Microstrain and Stress in Non-Planar Palladium Membranes for Hydrogen Separation." Advanced Materials Research 996 (August 2014): 27–32. http://dx.doi.org/10.4028/www.scientific.net/amr.996.27.

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Palladiums tubular membranes are developed to operate up to 400 °C, for the synthesis of H2 and for the separation of CO2 in Water Gas Shift (WGS) processes and reforming gas of methane [. Palladium has FCC lattice that allows the separation of hydrogen from carbon dioxide through a solution-diffusion mechanism [. To ensure high selectivity in the separation process, the functional Pd layer on the porous substrate of the membranes must have a microstructure with low defects and free from residual stresses [.MicroXRD measurements were performed to evaluate the effect of the stress-relief heat t

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Vinjamuri, Krishna Bharath, Sashank Viswanadha, Hymavathi Basireddy, and Rajesh Kumar Borra. "X-Ray Diffraction Analysis by Williamson-Hall, Size-Strain, Halder-Wagner Plot Methods for Ni Doped CdS Nanoparticles." Applied Mechanics and Materials 903 (April 2021): 27–32. http://dx.doi.org/10.4028/www.scientific.net/amm.903.27.

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Cadmium sulfide (CdS) doped with different concentrations of Ni (2, 4, 6, 8, and 10 %) nanoparticles have been synthesized by chemical co-precipitation method. X-ray diffraction (XRD) studies confirm the crystalline nature of Ni doped CdS nanoparticles had a hexagonal wurtzite structure. Williamson-Hall (W–H), Size-Strain Plot (SSP), and Halder-Wagner (H–W) methods have been used to investigate the average particle size, lattice strain, stress, and energy density from the XRD peak broadening analysis. In W–H method, the models of uniform deformation, uniform deformation stress, and uniform def

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Tanaka, Yuki, Daichi Akama, Nobuo Nakada, Toshihiro Tsuchiyama, and Setsuo Takaki. "Effect of Pearlite Structure on Lattice Strain in Ferrite Estimated by the Williamson-Hall Method." Tetsu-to-Hagane 100, no. 10 (2014): 1229–31. http://dx.doi.org/10.2355/tetsutohagane.100.1229.

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Mahmoud, E. Khalafalla, M. R. Ebeid, M. A. Kaid, and M. G. S. Ali. "Broadening Microstructure Analysis Program(BMAP): an isotropic and anisotropic crystallite size and strain calculator." Journal of Applied Crystallography 48, no. 6 (2015): 1729–33. http://dx.doi.org/10.1107/s1600576715016696.

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BMAPcalculator is a simplified software tool to obtain microstructure characteristics and to investigate their isotropic and anisotropic nature using some common broadening methods. The Scherrer and Stokes–Wilson methods as well as the Williamson–Hall plot (microstructure isotropy) and modified Williamson–Hall models (strain anisotropy) are implemented in the calculations. TheBMAPinput data are the X-ray diffraction peak parameters (the full width at half-maximum or integral breadth and peak position) of a measured line profile and of a reference one. The components of the measured line profil

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Lemine, O. M., Karim Omri, L. El Mir, et al. "Fe2O3 nanoparticles for magnetic hyperthermia applications." MRS Proceedings 1779 (2015): 7–13. http://dx.doi.org/10.1557/opl.2015.697.

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ABSTRACTSynthesis, structural, magnetic properties and heating efficiency of γ-Fe2O3 nanoparticles have been investigated. X-ray diffraction (XRD) and Mössbauer spectroscopy show that the obtained nanoparticles are mainly composed of maghemite phase (γ-Fe2O3). Williamson-Hall method shows that the crystallite is around 14nm.The specific absorption rate (SAR) under an alternating magnetic field is investigated as a function of frequency. A highest SAR value of 12W/g for frequency 523 kHz was obtained.

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Sano, Mutsumi, Sunao Takahashi, Atsuo Watanabe, Ayumi Shiro, Takahisa Shobu, and Kenogo Nakada. "Dislocation Densities in Dispersion-Strengthened Copper with Aluminum Oxide from X-Ray Line Profile Analysis." Materials Science Forum 941 (December 2018): 2024–29. http://dx.doi.org/10.4028/www.scientific.net/msf.941.2024.

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Dislocation densities of dispersion-strengthened copper with aluminum oxide, namely GlidCop were evaluated employing the X-ray line profile analysis using the modified Williamson-Hall and modified Warren-Averbach method. X-ray diffraction profiles for GldCop samples with compressive strains applied at ambient temperature were measured with synchrotron radiation. The dislocation densities of GlidCop with compressive strain ranging from 0 – 2.7 % were on the order of 1.5×1014 – 6.6×1014 m-2.

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Lysytsya, A. V., M. V. Moroz, B. D. Nechyporuk, B. P. Rudyk, and B. F. Shamsutdinov. "Physical Properties of Zinc Compounds Obtained by Electrolytic Method." Physics and Chemistry of Solid State 22, no. 1 (2021): 160–67. http://dx.doi.org/10.15330/pcss.22.1.160-167.

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The influence of the chemical composition of the electrolyte and its temperature on the process of sythesis of nanosized zinc compounds by electrolytic method using zinc electrodes was investigated. X-ray studies have been conducted and its results were used to determine the composition of the obtained nanocrystal samples and its dimensioning using the Debye and the Williamson Hall methods. Comparisons of the results of dimensioning of nanocrystals by both methods were made. Also discussed the possibilities of synthesis of nanoparticles of zinc oxide, zinc sulfide and hydrozincite by electroly

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Sapna, Narender Budhiraja, Vinod Kumar, and S. K. Singh. "X-ray Analysis of NiFe2O4 Nanoparticles by Williamson-Hall and Size-Strain Plot Method." Journal of Advanced Physics 6, no. 4 (2017): 492–95. http://dx.doi.org/10.1166/jap.2017.1363.

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Endla, Purushotham, and Ch Krishna Reddy. "Characterization Of Size Ependent Thermal Properties In Strained Nanocrystalline Powder Using Williamson–Hall Method." IOP Conference Series: Materials Science and Engineering 981 (December 5, 2020): 022086. http://dx.doi.org/10.1088/1757-899x/981/2/022086.

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Lucks, I., P. Lamparter, Jian Xu, and Eric J. Mittemeijer. "XRD Line Broadening Analysis with Ball Milled Palladium." Materials Science Forum 443-444 (January 2004): 119–22. http://dx.doi.org/10.4028/www.scientific.net/msf.443-444.119.

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Palladium powder was deformed by ball milling under an argon atmosphere in two types of mills for different milling times. Two methods for X-ray diffraction line profile analysis, the Williamson-Hall method and the Warren-Averbach method, yielded similar trends, but different quantitative results for crystallite sizes (column lengths) and microstrains. With both methods, from the anisotropic line broadening for planetary milled Pd smaller crystallite sizes and larger microstrains were obtained along the <100> direction than along <111>. Milling in a shaker mill causes microstrain h

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L.Umaralikhan and M. JAMAL MOHAMED JAFFAR. "Williamson-Hall analysis of ZnO and Mg doped ZnO nanoparticles prepared via Psidium guajava leaf extract." Jamal Academic Research Journal : An Interdisciplinary 1, no. 1 (2020): 38–41. http://dx.doi.org/10.46947/jarj1120206.

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ZnO and Mg doped ZnO nanoparticles (NPs) were synthesized by green method using Psidium guajava leaf extract. X-ray power diffraction studies confirmed that, synthesized nanoparticles were retained the wurtzite hexagonal structure. In addition, the crystallite development in nanostructured ZnO and Mg doped ZnO NPs by X-ray peak broadening analysis. The individual contributions of small crystallite sizes and lattice strain to the peak broadening in pure and Mg doped ZnO NPs were studied using Williamson-Hall (W-H) analysis.

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Tahmasebi, Mohammad Hossein, and Mark Obrovac. "Quantitative Determination of the Compositional Inhomogeneity in NMC Cathode Materials by Williamson-Hall Analysis." ECS Meeting Abstracts MA2023-02, no. 2 (2023): 184. http://dx.doi.org/10.1149/ma2023-022184mtgabs.

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Over the past decades, the co-precipitation synthesis technique has been used, particularly for making LiNixMnyCozO2 (NMC) cathode materials for lithium-ion batteries (LIBs), due to better control of particle morphology and higher compositional homogeneity in the final NMC product compared to other methods. However, the co-precipitation method introduces complexity and consumes large amounts of energy and water, which can increase cost. This has led researchers to investigate solid-state NMC synthesis techniques in order to improve sustainability and reduce LIB cost [1-3]. Obtaining homogeneou

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Satishkumar, K. B., T. K. Vishnuvardhan, B. Rajashekhar, K. Satish, Shashidhar, and B. Sreekanth. "Green Synthesis and Morphology of Nano Yttria Mediated by Agaricus bisporus." Asian Journal of Chemistry 31, no. 4 (2019): 834–38. http://dx.doi.org/10.14233/ajchem.2019.21777.

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Nano-yttrium oxide has been synthesized from yttrium nitrate hexahydrate by combustion of Agarics bisporus (mushroom) used as fuel. The precursor yttirium nitrate and fuel in acid medium are combusted in furnace at 400 ºC for 3 h yields yttria nanopowder. Morphology of the reaction products are characterized by SEM and TEM. Synthesized yttria nanoparticle are characterized by UV, FTIR, XRD and EDAX are discussed. The crystallite size obtained nano yttria particles are calculated by Scherer′s equation and compared with Williamson-Hall method.

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Irfan, H., Racik K. Mohamed, and S. Anand. "X-ray peak profile analysis of CoAl2O4 nanoparticles by Williamson-Hall and size-strain plot methods." Modern Electronic Materials 4, no. (1) (2018): 31–40. https://doi.org/10.3897/j.moem.4.1.33272.

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CoAl<sub>2</sub>O<sub>4</sub> nanoparticles were prepared by a sol-gel process using citric acid as chelating agent with different calcination temperatures of 600 to 900 °C. The crystalline spinel cubic phase was confirmed by X-ray diffraction results. High-resolution scanning electron microscopy (HRSEM) revealed that nanoparticles of CoAl<sub>2</sub>O<sub>4</sub> morphology showed spherical forms with a certain degree of agglomeration. The Williamson-Hall (W-H) method and size-strain method to evaluate the size of crystallites and strain in the CoAl<sub>2</sub>O<sub>4</sub> nanoparticles peak

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Kužel, Radomír, D. Šimek, J. Kub, and Rinat K. Islamgaliev. "Study of Submicrocrystalline Materials by Conventional Powder Diffraction and Diffuse Scattering in Transmitted Wave." Materials Science Forum 443-444 (January 2004): 111–14. http://dx.doi.org/10.4028/www.scientific.net/msf.443-444.111.

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Two methods were used for the analysis of submicro-crystalline copper prepared by high-pressure (6 GPa) severe plastic deformation. Conventional powder XRD study was carried in terms of the modified Williamson-Hall (WH) plots and shown large line-broadening anisotropy. A new high-resolution small-angle transmission diffuse scattering method was applied for determination of crystallite size. Two methods were used for the evaluation of the diffuse scattering - calculation of the autocorrelation function of the crystalline shape by the transformation of the measured signal and by the direct fitti

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Tanaka, Yuki, Daichi Akama, Nobuo Nakada, Toshihiro Tsuchiyama, and Setsuo Takaki. "Effect of Pearlite Structure on Lattice Strain in Ferrite Estimated by the Williamson-Hall Method." ISIJ International 55, no. 11 (2015): 2515–17. http://dx.doi.org/10.2355/isijinternational.isijint-2015-407.

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Sirotinkin, V. P., A. B. Mikhailova, V. F. Shamray, et al. "Microstructure analysis of tungsten nanopowders by Williamson-Hall method using diffractometer with high-speed detector." Inorganic Materials 50, no. 15 (2014): 1455–58. http://dx.doi.org/10.1134/s0020168514150163.

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Rani, Neha, Surjeet Chahal, Anuj S. Chauhan, Parmod Kumar, Rajni Shukla, and S. K. Singh. "X-ray Analysis of MgO Nanoparticles by Modified Scherer’s Williamson-Hall and Size-Strain Method." Materials Today: Proceedings 12 (2019): 543–48. http://dx.doi.org/10.1016/j.matpr.2019.03.096.

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Jurkiewicz, Karolina, Michał Kamiński, Wojciech Glajcar, et al. "Paracrystalline structure of gold, silver, palladium and platinum nanoparticles." Journal of Applied Crystallography 51, no. 2 (2018): 411–19. http://dx.doi.org/10.1107/s1600576718001723.

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Metallic nanoparticles are of great importance because of their unique physical, chemical, antimicrobial, diagnostic, therapeutic, biomedical, sensing, biosensing, catalytic and optical properties. Detailed knowledge of the atomic scale structure of these materials is essential for understanding their activities and for exploiting their potential. This paper reports structural studies of silica-supported silver, gold, palladium and platinum nanoparticles using X-ray diffraction and high-resolution transmission electron microscopy. Electron microscopy observation allowed the determination of na

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Takaki, Setsuo, Takuro Masumura, and Toshihiro Tsuchiyama. "Correlation in the Parameters Obtained by Direct-Fitting Method and Modified Williamson-Hall Method for Cold Worked Iron." Tetsu-to-Hagane 105, no. 6 (2019): 648–54. http://dx.doi.org/10.2355/tetsutohagane.tetsu-2018-167.

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Heiba, Zein, Hasan Okuyucu, and Y. S. Hascicek. "X-ray structure determination of the rare earth oxides (Er1−uGdu)2O3applying the Rietveld method." Journal of Applied Crystallography 35, no. 5 (2002): 577–80. http://dx.doi.org/10.1107/s0021889802010555.

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Nanosized polycrystalline samples of (Er1−uGdu)2O3(0 ≤u≤ 1.0) were synthesized by a sol–gel technique. X-ray diffraction data were collected and the crystal structures were refined by the Rietveld method. All samples are found to have the same crystal system and formed solid solutions over the whole range ofu. The Er3+and Gd3+ions were randomly distributed over two cationic sites, 8band 24d, in the space groupIa\bar{3} (206) in all refined structures. The lattice parameter was found to vary non-linearly with the composition (u). The average microstrain and average crystallite size have been ca

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