<div dir="ltr">Dear Brian,<div>I am a regular user of HPCAT beamline, APS.</div><div><br></div><div><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">I want to calculate the dislocation density of silicon
phases. I need to include both microstrain and domain size contributions in the
equation.</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">As we know,</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Dislocation density, ρ<sub>d</sub> = (ρ<sub>D * </sub>ρ<sub>S</sub>)<sup>1/2</sup>
</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Contribution from domain size (D), ρ<sub>D</sub> = 3/D<sup>2</sup>
</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Contribution from microstrain, ρ<sub>S</sub> = k(ε<sub>l</sub>)<sup>2</sup>/b<sup>2</sup></p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">ε<sub>l </sub> is
equivalent to the average microstrain</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">In this equation, the microstrain calculations reported in
the literature are of the order of 10<sup>-3</sup></p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">In GSAS II, the microstrain is of the order of 10<sup>6</sup></p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Do we need any conversion factor to calculate the
microstrain to make it to the order of 10<sup>-3</sup>? Otherwise, we will overestimate
the dislocation density</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">The Williamson-Hall plot gives the microstrain of the Si ambient phase of the order
10<sup>-3</sup></p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Please provide your valuable suggestions to tackle this
issue</p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif"><span style="font-size:11pt">Thanks</span><br></p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Regards</p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Sorb Y A</p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">Iowa State University</p></div></div>