Size_Strain_PeakBroadeningPowderXRD

Size_Strain_PeakBroadeningPowderXRD - A A??? «C 4.5” f....

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Unformatted text preview: A A??? «C 4.5” f. ‘ ' ‘ /A,.,~,.X32,.f94¢@ «My % % 47g w/iméw) ‘ Jim ' 01 3‘3 lolébs , A W L :2..a)...,,_;_if:iiiiii[Iifl:I._’,.f.:Q4222.:_:.:_M;i: w 2 W PAW/1 “gig.” fwé ._ .... . m 491' a “Z57” = 2&1 I' ____________ -agfl _____ .7-* NMWMWMVI ....................................... m ’ Z l 2 a2.) 1’ ’ M 7 ,, "X "if “i:'j::::: 14-6 Size and Strain Separation 401 A 8‘ 8 0004 8/ a: 0.6 (sin 6) / )\. Figure 14-8 Williamson-Hall plot for MgO and A1203, curves (A) ball milled for 2 hours and (B) ball milled for 2 hours, then annealed for 2 hours at 1350" C. After Lewis and Lindley [14.10]. ,8 cosH = —2(Ad/d) sin 6' (14-11) If size broadening is the only significant contribution to peak Width, then Bexp cos 6 is a constant for all peaks (i.e., its Williamson—Hall plot is a horizontal line). If strain broadening is the important contribution, Bexp cos 6 is a linear function of sin 0. Figure 14-8 shows data for two oxide ceramics in two conditions: after ball milling and ball milling followed by annealing at 1350 C for 2 hr [14.10]. As one would expect, ball milling produces less microstrain in A1203, a substance which is often used to polish solid samples prior to optical microscopy, and the crystallite size of i ...
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Size_Strain_PeakBroadeningPowderXRD - A A??? «C 4.5” f....

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