Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot

This research paper dealt with the synthesis and characterization of pure and metal-doped hydroxyapatite covering an in-depth crystallographic analysis. The Scherrer equation, Linear Straight-Line Model, Munshi Scherrer Model, Uniform Deformation Model, Uniform Stress Deformation Model, Uniform Defo...

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Main Authors: Sanjana Afrin Disha, Md. Sahadat Hossain, Md. Lawshan Habib, Samina Ahmed
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Results in Materials
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590048X23001346
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author Sanjana Afrin Disha
Md. Sahadat Hossain
Md. Lawshan Habib
Samina Ahmed
author_facet Sanjana Afrin Disha
Md. Sahadat Hossain
Md. Lawshan Habib
Samina Ahmed
author_sort Sanjana Afrin Disha
collection DOAJ
description This research paper dealt with the synthesis and characterization of pure and metal-doped hydroxyapatite covering an in-depth crystallographic analysis. The Scherrer equation, Linear Straight-Line Model, Munshi Scherrer Model, Uniform Deformation Model, Uniform Stress Deformation Model, Uniform Deformation Energy Density Model, Size Strain Model, Halder Wagner Model, and Sahadat Scherrer Model were engaged to estimate crystallite size as well as strain, stress, and energy density from few models. All the models were evaluated with their merits and demerits along with usefulness. All the mentioned models showed acceptable results as the crystallite size ranges were from 22 to 77 nm except Linear Straight-Line Model (revealed invalid results for all the synthesized samples). The modified Williamson-Hall model (Uniform Deformation Model, Uniform Stress Deformation Model, Uniform Deformation Energy Density Model) exerted strain, stress and energy density positive and negative. But Size Strain Model, and Halder Wagner Model resulted in only positive values.
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spelling doaj.art-6e6a32c1156e49828f5fb245da6e1a902024-03-15T04:44:21ZengElsevierResults in Materials2590-048X2024-03-0121100496Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plotSanjana Afrin Disha0Md. Sahadat Hossain1Md. Lawshan Habib2Samina Ahmed3Institute of Glass and Ceramic Research and Testing, Bangladesh Council of Scientific and Industrial Research (BCSIR), Dhanmondi, Dhaka-1205, Bangladesh; Department of Applied Chemistry and Chemical Engineering, Faculty of Engineering, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100, BangladeshInstitute of Glass and Ceramic Research and Testing, Bangladesh Council of Scientific and Industrial Research (BCSIR), Dhanmondi, Dhaka-1205, BangladeshDepartment of Applied Chemistry and Chemical Engineering, Faculty of Engineering, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100, Bangladesh; Corresponding author.Department of Applied Chemistry and Chemical Engineering, Faculty of Engineering, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100, Bangladesh.Institute of Glass and Ceramic Research and Testing, Bangladesh Council of Scientific and Industrial Research (BCSIR), Dhanmondi, Dhaka-1205, Bangladesh; BCSIR Laboratories Dhaka, Bangladesh Council of Scientific and Industrial Research (BCSIR), Dhaka-1205, Bangladesh; Corresponding author. Institute of Glass and Ceramic Research and Testing, Bangladesh Council of Scientific and Industrial Research (BCSIR), Dhanmondi, Dhaka-1205, Bangladesh.This research paper dealt with the synthesis and characterization of pure and metal-doped hydroxyapatite covering an in-depth crystallographic analysis. The Scherrer equation, Linear Straight-Line Model, Munshi Scherrer Model, Uniform Deformation Model, Uniform Stress Deformation Model, Uniform Deformation Energy Density Model, Size Strain Model, Halder Wagner Model, and Sahadat Scherrer Model were engaged to estimate crystallite size as well as strain, stress, and energy density from few models. All the models were evaluated with their merits and demerits along with usefulness. All the mentioned models showed acceptable results as the crystallite size ranges were from 22 to 77 nm except Linear Straight-Line Model (revealed invalid results for all the synthesized samples). The modified Williamson-Hall model (Uniform Deformation Model, Uniform Stress Deformation Model, Uniform Deformation Energy Density Model) exerted strain, stress and energy density positive and negative. But Size Strain Model, and Halder Wagner Model resulted in only positive values.http://www.sciencedirect.com/science/article/pii/S2590048X23001346X-ray diffractionCrystallite sizeStrainStressEnergy density
spellingShingle Sanjana Afrin Disha
Md. Sahadat Hossain
Md. Lawshan Habib
Samina Ahmed
Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot
Results in Materials
X-ray diffraction
Crystallite size
Strain
Stress
Energy density
title Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot
title_full Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot
title_fullStr Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot
title_full_unstemmed Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot
title_short Calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging Scherrer method, Halder-Wagner method, Williamson-Hall model, and size-strain plot
title_sort calculation of crystallite sizes of pure and metals doped hydroxyapatite engaging scherrer method halder wagner method williamson hall model and size strain plot
topic X-ray diffraction
Crystallite size
Strain
Stress
Energy density
url http://www.sciencedirect.com/science/article/pii/S2590048X23001346
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AT mdlawshanhabib calculationofcrystallitesizesofpureandmetalsdopedhydroxyapatiteengagingscherrermethodhalderwagnermethodwilliamsonhallmodelandsizestrainplot
AT saminaahmed calculationofcrystallitesizesofpureandmetalsdopedhydroxyapatiteengagingscherrermethodhalderwagnermethodwilliamsonhallmodelandsizestrainplot