2021
DOI: 10.1007/s13632-021-00792-0
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X-ray Diffraction Analysis of a Class of AlMgCu Alloy Using Williamson–Hall and Scherrer Methods

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Cited by 10 publications
(3 citation statements)
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“…Furthermore, the diffraction peak corresponding to (100) orientation for Si substrate is observed in both the samples [31]. Moreover, d-spacing (inter layer distance) and crystal size (D) was also calculated for both the samples using Bragg's law [32] ( ) q l = n d 2 sin (1) and Scherrer's formula [33] (D=0.9λ/β q cos ) (2) respectively. The calculated d-spacing and crystallite size values are represented in table 1 of both axial HS NW and HS TF.…”
Section: Structural and Morphological Analysismentioning
confidence: 99%
“…Furthermore, the diffraction peak corresponding to (100) orientation for Si substrate is observed in both the samples [31]. Moreover, d-spacing (inter layer distance) and crystal size (D) was also calculated for both the samples using Bragg's law [32] ( ) q l = n d 2 sin (1) and Scherrer's formula [33] (D=0.9λ/β q cos ) (2) respectively. The calculated d-spacing and crystallite size values are represented in table 1 of both axial HS NW and HS TF.…”
Section: Structural and Morphological Analysismentioning
confidence: 99%
“…In the present study, the Williamson-Hall (W-H) method has been adopted for the estimation of the crystalline domain size of the synthesized samples, i.e., pure and Mn-doped ZnO. The simplified W-H diagnostic tool assumes that the broadening in Bragg’s peaks is the sum of peak broadening due to finite crystallite size and induced strain [54, 55]. The W-H equation is given as [56] (2) β Cos θ = K λ / D + 4 ε Sin θ , where “D” is the average crystallite size, K is the shape factor that is equal to 0.9, “ λ ” is the wavelength of X-rays (1.5406 A ° ), “ β ” is the full width at half of the maximum of diffraction peaks, “ θ ” is the Bragg’s angle, and “ ε ” represents the internal microstrain.…”
Section: Resultsmentioning
confidence: 99%
“…In the present study, the Williamson-Hall (W-H) method has been adopted for the estimation of the crystalline domain size of the synthesized samples, i.e., pure and Mn-doped ZnO. The simplified W-H diagnostic tool assumes that the broadening in Bragg's peaks is the sum of peak broadening due to finite crystallite size and induced strain [54,55]. The W-H equation is given as [56]…”
Section: (A) (Inset)mentioning
confidence: 99%