source: Tutorials/SAsize/Small Angle Size Distribution.htm @ 2790

Last change on this file since 2790 was 2790, checked in by vondreele, 5 years ago

update SAsize tutorial

  • Property svn:mime-type set to text/html
File size: 80.7 KB
Line 
1<html xmlns:v="urn:schemas-microsoft-com:vml"
2xmlns:o="urn:schemas-microsoft-com:office:office"
3xmlns:w="urn:schemas-microsoft-com:office:word"
4xmlns:m="http://schemas.microsoft.com/office/2004/12/omml"
5xmlns="http://www.w3.org/TR/REC-html40">
6
7<head>
8<meta http-equiv=Content-Type content="text/html; charset=windows-1252">
9<meta name=ProgId content=Word.Document>
10<meta name=Generator content="Microsoft Word 15">
11<meta name=Originator content="Microsoft Word 15">
12<link rel=File-List
13href="Small%20Angle%20Size%20Distribution_files/filelist.xml">
14<link rel=Edit-Time-Data
15href="Small%20Angle%20Size%20Distribution_files/editdata.mso">
16<!--[if !mso]>
17<style>
18v\:* {behavior:url(#default#VML);}
19o\:* {behavior:url(#default#VML);}
20w\:* {behavior:url(#default#VML);}
21.shape {behavior:url(#default#VML);}
22</style>
23<![endif]--><!--[if gte mso 9]><xml>
24 <o:DocumentProperties>
25  <o:Author>Von Dreele</o:Author>
26  <o:LastAuthor>vondreele</o:LastAuthor>
27  <o:Revision>16</o:Revision>
28  <o:TotalTime>1960</o:TotalTime>
29  <o:Created>2014-03-20T16:54:00Z</o:Created>
30  <o:LastSaved>2017-04-19T15:00:00Z</o:LastSaved>
31  <o:Pages>1</o:Pages>
32  <o:Words>1274</o:Words>
33  <o:Characters>7265</o:Characters>
34  <o:Company>Argonne National Laboratory</o:Company>
35  <o:Lines>60</o:Lines>
36  <o:Paragraphs>17</o:Paragraphs>
37  <o:CharactersWithSpaces>8522</o:CharactersWithSpaces>
38  <o:Version>16.00</o:Version>
39 </o:DocumentProperties>
40 <o:OfficeDocumentSettings>
41  <o:AllowPNG/>
42 </o:OfficeDocumentSettings>
43</xml><![endif]-->
44<link rel=themeData
45href="Small%20Angle%20Size%20Distribution_files/themedata.thmx">
46<link rel=colorSchemeMapping
47href="Small%20Angle%20Size%20Distribution_files/colorschememapping.xml">
48<!--[if gte mso 9]><xml>
49 <w:WordDocument>
50  <w:View>Print</w:View>
51  <w:SpellingState>Clean</w:SpellingState>
52  <w:GrammarState>Clean</w:GrammarState>
53  <w:TrackMoves>false</w:TrackMoves>
54  <w:TrackFormatting/>
55  <w:PunctuationKerning/>
56  <w:ValidateAgainstSchemas/>
57  <w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
58  <w:IgnoreMixedContent>false</w:IgnoreMixedContent>
59  <w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
60  <w:DoNotPromoteQF/>
61  <w:LidThemeOther>EN-US</w:LidThemeOther>
62  <w:LidThemeAsian>X-NONE</w:LidThemeAsian>
63  <w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
64  <w:Compatibility>
65   <w:BreakWrappedTables/>
66   <w:SnapToGridInCell/>
67   <w:WrapTextWithPunct/>
68   <w:UseAsianBreakRules/>
69   <w:DontGrowAutofit/>
70   <w:SplitPgBreakAndParaMark/>
71   <w:EnableOpenTypeKerning/>
72   <w:DontFlipMirrorIndents/>
73   <w:OverrideTableStyleHps/>
74  </w:Compatibility>
75  <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
76  <m:mathPr>
77   <m:mathFont m:val="Cambria Math"/>
78   <m:brkBin m:val="before"/>
79   <m:brkBinSub m:val="&#45;-"/>
80   <m:smallFrac m:val="off"/>
81   <m:dispDef/>
82   <m:lMargin m:val="0"/>
83   <m:rMargin m:val="0"/>
84   <m:defJc m:val="centerGroup"/>
85   <m:wrapIndent m:val="1440"/>
86   <m:intLim m:val="subSup"/>
87   <m:naryLim m:val="undOvr"/>
88  </m:mathPr></w:WordDocument>
89</xml><![endif]--><!--[if gte mso 9]><xml>
90 <w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="false"
91  DefSemiHidden="false" DefQFormat="false" DefPriority="99"
92  LatentStyleCount="371">
93  <w:LsdException Locked="false" Priority="0" QFormat="true" Name="Normal"/>
94  <w:LsdException Locked="false" Priority="9" QFormat="true" Name="heading 1"/>
95  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
96   UnhideWhenUsed="true" QFormat="true" Name="heading 2"/>
97  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
98   UnhideWhenUsed="true" QFormat="true" Name="heading 3"/>
99  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
100   UnhideWhenUsed="true" QFormat="true" Name="heading 4"/>
101  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
102   UnhideWhenUsed="true" QFormat="true" Name="heading 5"/>
103  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
104   UnhideWhenUsed="true" QFormat="true" Name="heading 6"/>
105  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
106   UnhideWhenUsed="true" QFormat="true" Name="heading 7"/>
107  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
108   UnhideWhenUsed="true" QFormat="true" Name="heading 8"/>
109  <w:LsdException Locked="false" Priority="9" SemiHidden="true"
110   UnhideWhenUsed="true" QFormat="true" Name="heading 9"/>
111  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
112   Name="index 1"/>
113  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
114   Name="index 2"/>
115  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
116   Name="index 3"/>
117  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
118   Name="index 4"/>
119  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
120   Name="index 5"/>
121  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
122   Name="index 6"/>
123  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
124   Name="index 7"/>
125  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
126   Name="index 8"/>
127  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
128   Name="index 9"/>
129  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
130   UnhideWhenUsed="true" Name="toc 1"/>
131  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
132   UnhideWhenUsed="true" Name="toc 2"/>
133  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
134   UnhideWhenUsed="true" Name="toc 3"/>
135  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
136   UnhideWhenUsed="true" Name="toc 4"/>
137  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
138   UnhideWhenUsed="true" Name="toc 5"/>
139  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
140   UnhideWhenUsed="true" Name="toc 6"/>
141  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
142   UnhideWhenUsed="true" Name="toc 7"/>
143  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
144   UnhideWhenUsed="true" Name="toc 8"/>
145  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
146   UnhideWhenUsed="true" Name="toc 9"/>
147  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
148   Name="Normal Indent"/>
149  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
150   Name="footnote text"/>
151  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
152   Name="annotation text"/>
153  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
154   Name="header"/>
155  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
156   Name="footer"/>
157  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
158   Name="index heading"/>
159  <w:LsdException Locked="false" Priority="35" SemiHidden="true"
160   UnhideWhenUsed="true" QFormat="true" Name="caption"/>
161  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
162   Name="table of figures"/>
163  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
164   Name="envelope address"/>
165  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
166   Name="envelope return"/>
167  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
168   Name="footnote reference"/>
169  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
170   Name="annotation reference"/>
171  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
172   Name="line number"/>
173  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
174   Name="page number"/>
175  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
176   Name="endnote reference"/>
177  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
178   Name="endnote text"/>
179  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
180   Name="table of authorities"/>
181  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
182   Name="macro"/>
183  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
184   Name="toa heading"/>
185  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
186   Name="List"/>
187  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
188   Name="List Bullet"/>
189  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
190   Name="List Number"/>
191  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
192   Name="List 2"/>
193  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
194   Name="List 3"/>
195  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
196   Name="List 4"/>
197  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
198   Name="List 5"/>
199  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
200   Name="List Bullet 2"/>
201  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
202   Name="List Bullet 3"/>
203  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
204   Name="List Bullet 4"/>
205  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
206   Name="List Bullet 5"/>
207  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
208   Name="List Number 2"/>
209  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
210   Name="List Number 3"/>
211  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
212   Name="List Number 4"/>
213  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
214   Name="List Number 5"/>
215  <w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
216  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
217   Name="Closing"/>
218  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
219   Name="Signature"/>
220  <w:LsdException Locked="false" Priority="1" SemiHidden="true"
221   UnhideWhenUsed="true" Name="Default Paragraph Font"/>
222  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
223   Name="Body Text"/>
224  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
225   Name="Body Text Indent"/>
226  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
227   Name="List Continue"/>
228  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
229   Name="List Continue 2"/>
230  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
231   Name="List Continue 3"/>
232  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
233   Name="List Continue 4"/>
234  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
235   Name="List Continue 5"/>
236  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
237   Name="Message Header"/>
238  <w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
239  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
240   Name="Salutation"/>
241  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
242   Name="Date"/>
243  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
244   Name="Body Text First Indent"/>
245  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
246   Name="Body Text First Indent 2"/>
247  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
248   Name="Note Heading"/>
249  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
250   Name="Body Text 2"/>
251  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
252   Name="Body Text 3"/>
253  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
254   Name="Body Text Indent 2"/>
255  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
256   Name="Body Text Indent 3"/>
257  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
258   Name="Block Text"/>
259  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
260   Name="Hyperlink"/>
261  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
262   Name="FollowedHyperlink"/>
263  <w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
264  <w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
265  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
266   Name="Document Map"/>
267  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
268   Name="Plain Text"/>
269  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
270   Name="E-mail Signature"/>
271  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
272   Name="HTML Top of Form"/>
273  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
274   Name="HTML Bottom of Form"/>
275  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
276   Name="Normal (Web)"/>
277  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
278   Name="HTML Acronym"/>
279  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
280   Name="HTML Address"/>
281  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
282   Name="HTML Cite"/>
283  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
284   Name="HTML Code"/>
285  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
286   Name="HTML Definition"/>
287  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
288   Name="HTML Keyboard"/>
289  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
290   Name="HTML Preformatted"/>
291  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
292   Name="HTML Sample"/>
293  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
294   Name="HTML Typewriter"/>
295  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
296   Name="HTML Variable"/>
297  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
298   Name="Normal Table"/>
299  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
300   Name="annotation subject"/>
301  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
302   Name="No List"/>
303  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
304   Name="Outline List 1"/>
305  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
306   Name="Outline List 2"/>
307  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
308   Name="Outline List 3"/>
309  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
310   Name="Table Simple 1"/>
311  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
312   Name="Table Simple 2"/>
313  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
314   Name="Table Simple 3"/>
315  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
316   Name="Table Classic 1"/>
317  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
318   Name="Table Classic 2"/>
319  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
320   Name="Table Classic 3"/>
321  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
322   Name="Table Classic 4"/>
323  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
324   Name="Table Colorful 1"/>
325  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
326   Name="Table Colorful 2"/>
327  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
328   Name="Table Colorful 3"/>
329  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
330   Name="Table Columns 1"/>
331  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
332   Name="Table Columns 2"/>
333  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
334   Name="Table Columns 3"/>
335  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
336   Name="Table Columns 4"/>
337  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
338   Name="Table Columns 5"/>
339  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
340   Name="Table Grid 1"/>
341  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
342   Name="Table Grid 2"/>
343  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
344   Name="Table Grid 3"/>
345  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
346   Name="Table Grid 4"/>
347  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
348   Name="Table Grid 5"/>
349  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
350   Name="Table Grid 6"/>
351  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
352   Name="Table Grid 7"/>
353  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
354   Name="Table Grid 8"/>
355  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
356   Name="Table List 1"/>
357  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
358   Name="Table List 2"/>
359  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
360   Name="Table List 3"/>
361  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
362   Name="Table List 4"/>
363  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
364   Name="Table List 5"/>
365  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
366   Name="Table List 6"/>
367  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
368   Name="Table List 7"/>
369  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
370   Name="Table List 8"/>
371  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
372   Name="Table 3D effects 1"/>
373  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
374   Name="Table 3D effects 2"/>
375  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
376   Name="Table 3D effects 3"/>
377  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
378   Name="Table Contemporary"/>
379  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
380   Name="Table Elegant"/>
381  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
382   Name="Table Professional"/>
383  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
384   Name="Table Subtle 1"/>
385  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
386   Name="Table Subtle 2"/>
387  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
388   Name="Table Web 1"/>
389  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
390   Name="Table Web 2"/>
391  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
392   Name="Table Web 3"/>
393  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
394   Name="Balloon Text"/>
395  <w:LsdException Locked="false" Priority="59" Name="Table Grid"/>
396  <w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
397   Name="Table Theme"/>
398  <w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
399  <w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
400  <w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
401  <w:LsdException Locked="false" Priority="61" Name="Light List"/>
402  <w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
403  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
404  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
405  <w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
406  <w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
407  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
408  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
409  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
410  <w:LsdException Locked="false" Priority="70" Name="Dark List"/>
411  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
412  <w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
413  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
414  <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
415  <w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
416  <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
417  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
418  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
419  <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
420  <w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
421  <w:LsdException Locked="false" Priority="34" QFormat="true"
422   Name="List Paragraph"/>
423  <w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
424  <w:LsdException Locked="false" Priority="30" QFormat="true"
425   Name="Intense Quote"/>
426  <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
427  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
428  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
429  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
430  <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
431  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
432  <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
433  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
434  <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
435  <w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
436  <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
437  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
438  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
439  <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
440  <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
441  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
442  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
443  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
444  <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
445  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
446  <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
447  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
448  <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
449  <w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
450  <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
451  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
452  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
453  <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
454  <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
455  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
456  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
457  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
458  <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
459  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
460  <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
461  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
462  <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
463  <w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
464  <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
465  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
466  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
467  <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
468  <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
469  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
470  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
471  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
472  <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
473  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
474  <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
475  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
476  <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
477  <w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
478  <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
479  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
480  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
481  <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
482  <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
483  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
484  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
485  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
486  <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
487  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
488  <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
489  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
490  <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
491  <w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
492  <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
493  <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
494  <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
495  <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
496  <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
497  <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
498  <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
499  <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
500  <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
501  <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
502  <w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
503  <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
504  <w:LsdException Locked="false" Priority="19" QFormat="true"
505   Name="Subtle Emphasis"/>
506  <w:LsdException Locked="false" Priority="21" QFormat="true"
507   Name="Intense Emphasis"/>
508  <w:LsdException Locked="false" Priority="31" QFormat="true"
509   Name="Subtle Reference"/>
510  <w:LsdException Locked="false" Priority="32" QFormat="true"
511   Name="Intense Reference"/>
512  <w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
513  <w:LsdException Locked="false" Priority="37" SemiHidden="true"
514   UnhideWhenUsed="true" Name="Bibliography"/>
515  <w:LsdException Locked="false" Priority="39" SemiHidden="true"
516   UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
517  <w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
518  <w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
519  <w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
520  <w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
521  <w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
522  <w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
523  <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
524  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
525  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
526  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
527  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
528  <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
529  <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
530  <w:LsdException Locked="false" Priority="46"
531   Name="Grid Table 1 Light Accent 1"/>
532  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
533  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
534  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
535  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
536  <w:LsdException Locked="false" Priority="51"
537   Name="Grid Table 6 Colorful Accent 1"/>
538  <w:LsdException Locked="false" Priority="52"
539   Name="Grid Table 7 Colorful Accent 1"/>
540  <w:LsdException Locked="false" Priority="46"
541   Name="Grid Table 1 Light Accent 2"/>
542  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
543  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
544  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
545  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
546  <w:LsdException Locked="false" Priority="51"
547   Name="Grid Table 6 Colorful Accent 2"/>
548  <w:LsdException Locked="false" Priority="52"
549   Name="Grid Table 7 Colorful Accent 2"/>
550  <w:LsdException Locked="false" Priority="46"
551   Name="Grid Table 1 Light Accent 3"/>
552  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
553  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
554  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
555  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
556  <w:LsdException Locked="false" Priority="51"
557   Name="Grid Table 6 Colorful Accent 3"/>
558  <w:LsdException Locked="false" Priority="52"
559   Name="Grid Table 7 Colorful Accent 3"/>
560  <w:LsdException Locked="false" Priority="46"
561   Name="Grid Table 1 Light Accent 4"/>
562  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
563  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
564  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
565  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
566  <w:LsdException Locked="false" Priority="51"
567   Name="Grid Table 6 Colorful Accent 4"/>
568  <w:LsdException Locked="false" Priority="52"
569   Name="Grid Table 7 Colorful Accent 4"/>
570  <w:LsdException Locked="false" Priority="46"
571   Name="Grid Table 1 Light Accent 5"/>
572  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
573  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
574  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
575  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
576  <w:LsdException Locked="false" Priority="51"
577   Name="Grid Table 6 Colorful Accent 5"/>
578  <w:LsdException Locked="false" Priority="52"
579   Name="Grid Table 7 Colorful Accent 5"/>
580  <w:LsdException Locked="false" Priority="46"
581   Name="Grid Table 1 Light Accent 6"/>
582  <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
583  <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
584  <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
585  <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
586  <w:LsdException Locked="false" Priority="51"
587   Name="Grid Table 6 Colorful Accent 6"/>
588  <w:LsdException Locked="false" Priority="52"
589   Name="Grid Table 7 Colorful Accent 6"/>
590  <w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
591  <w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
592  <w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
593  <w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
594  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
595  <w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
596  <w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
597  <w:LsdException Locked="false" Priority="46"
598   Name="List Table 1 Light Accent 1"/>
599  <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
600  <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
601  <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
602  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
603  <w:LsdException Locked="false" Priority="51"
604   Name="List Table 6 Colorful Accent 1"/>
605  <w:LsdException Locked="false" Priority="52"
606   Name="List Table 7 Colorful Accent 1"/>
607  <w:LsdException Locked="false" Priority="46"
608   Name="List Table 1 Light Accent 2"/>
609  <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
610  <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
611  <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
612  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
613  <w:LsdException Locked="false" Priority="51"
614   Name="List Table 6 Colorful Accent 2"/>
615  <w:LsdException Locked="false" Priority="52"
616   Name="List Table 7 Colorful Accent 2"/>
617  <w:LsdException Locked="false" Priority="46"
618   Name="List Table 1 Light Accent 3"/>
619  <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
620  <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
621  <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
622  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
623  <w:LsdException Locked="false" Priority="51"
624   Name="List Table 6 Colorful Accent 3"/>
625  <w:LsdException Locked="false" Priority="52"
626   Name="List Table 7 Colorful Accent 3"/>
627  <w:LsdException Locked="false" Priority="46"
628   Name="List Table 1 Light Accent 4"/>
629  <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
630  <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
631  <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
632  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
633  <w:LsdException Locked="false" Priority="51"
634   Name="List Table 6 Colorful Accent 4"/>
635  <w:LsdException Locked="false" Priority="52"
636   Name="List Table 7 Colorful Accent 4"/>
637  <w:LsdException Locked="false" Priority="46"
638   Name="List Table 1 Light Accent 5"/>
639  <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
640  <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
641  <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
642  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
643  <w:LsdException Locked="false" Priority="51"
644   Name="List Table 6 Colorful Accent 5"/>
645  <w:LsdException Locked="false" Priority="52"
646   Name="List Table 7 Colorful Accent 5"/>
647  <w:LsdException Locked="false" Priority="46"
648   Name="List Table 1 Light Accent 6"/>
649  <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
650  <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
651  <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
652  <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/>
653  <w:LsdException Locked="false" Priority="51"
654   Name="List Table 6 Colorful Accent 6"/>
655  <w:LsdException Locked="false" Priority="52"
656   Name="List Table 7 Colorful Accent 6"/>
657 </w:LatentStyles>
658</xml><![endif]-->
659<style>
660<!--
661 /* Font Definitions */
662 @font-face
663        {font-family:Calibri;
664        panose-1:2 15 5 2 2 2 4 3 2 4;
665        mso-font-charset:0;
666        mso-generic-font-family:swiss;
667        mso-font-pitch:variable;
668        mso-font-signature:-536859905 -1073732485 9 0 511 0;}
669@font-face
670        {font-family:Tahoma;
671        panose-1:2 11 6 4 3 5 4 4 2 4;
672        mso-font-charset:0;
673        mso-generic-font-family:swiss;
674        mso-font-pitch:variable;
675        mso-font-signature:-520081665 -1073717157 41 0 66047 0;}
676 /* Style Definitions */
677 p.MsoNormal, li.MsoNormal, div.MsoNormal
678        {mso-style-unhide:no;
679        mso-style-qformat:yes;
680        mso-style-parent:"";
681        margin:0in;
682        margin-bottom:.0001pt;
683        mso-pagination:widow-orphan;
684        font-size:12.0pt;
685        font-family:"Times New Roman",serif;
686        mso-fareast-font-family:"Times New Roman";
687        mso-fareast-theme-font:minor-fareast;}
688h1
689        {mso-style-priority:9;
690        mso-style-unhide:no;
691        mso-style-qformat:yes;
692        mso-style-link:"Heading 1 Char";
693        mso-margin-top-alt:auto;
694        margin-right:0in;
695        mso-margin-bottom-alt:auto;
696        margin-left:0in;
697        mso-pagination:widow-orphan;
698        mso-outline-level:1;
699        font-size:24.0pt;
700        font-family:"Times New Roman",serif;
701        mso-fareast-font-family:"Times New Roman";
702        mso-fareast-theme-font:minor-fareast;
703        font-weight:bold;}
704h2
705        {mso-style-noshow:yes;
706        mso-style-priority:9;
707        mso-style-qformat:yes;
708        mso-style-link:"Heading 2 Char";
709        mso-margin-top-alt:auto;
710        margin-right:0in;
711        mso-margin-bottom-alt:auto;
712        margin-left:0in;
713        mso-pagination:widow-orphan;
714        mso-outline-level:2;
715        font-size:18.0pt;
716        font-family:"Times New Roman",serif;
717        mso-fareast-font-family:"Times New Roman";
718        mso-fareast-theme-font:minor-fareast;
719        font-weight:bold;}
720h3
721        {mso-style-noshow:yes;
722        mso-style-priority:9;
723        mso-style-qformat:yes;
724        mso-style-link:"Heading 3 Char";
725        mso-margin-top-alt:auto;
726        margin-right:0in;
727        mso-margin-bottom-alt:auto;
728        margin-left:0in;
729        mso-pagination:widow-orphan;
730        mso-outline-level:3;
731        font-size:13.5pt;
732        font-family:"Times New Roman",serif;
733        mso-fareast-font-family:"Times New Roman";
734        mso-fareast-theme-font:minor-fareast;
735        font-weight:bold;}
736h4
737        {mso-style-noshow:yes;
738        mso-style-priority:9;
739        mso-style-qformat:yes;
740        mso-style-link:"Heading 4 Char";
741        mso-style-next:Normal;
742        margin-top:10.0pt;
743        margin-right:0in;
744        margin-bottom:0in;
745        margin-left:0in;
746        margin-bottom:.0001pt;
747        mso-pagination:widow-orphan lines-together;
748        page-break-after:avoid;
749        mso-outline-level:4;
750        font-size:13.0pt;
751        font-family:"Cambria",serif;
752        mso-ascii-font-family:Cambria;
753        mso-ascii-theme-font:major-latin;
754        mso-fareast-font-family:"Times New Roman";
755        mso-fareast-theme-font:major-fareast;
756        mso-hansi-font-family:Cambria;
757        mso-hansi-theme-font:major-latin;
758        mso-bidi-font-family:"Times New Roman";
759        mso-bidi-theme-font:major-bidi;
760        color:#4F81BD;
761        mso-themecolor:accent1;
762        font-weight:bold;
763        font-style:italic;}
764h5
765        {mso-style-noshow:yes;
766        mso-style-priority:9;
767        mso-style-qformat:yes;
768        mso-style-link:"Heading 5 Char";
769        mso-margin-top-alt:auto;
770        margin-right:0in;
771        mso-margin-bottom-alt:auto;
772        margin-left:0in;
773        mso-pagination:widow-orphan;
774        mso-outline-level:5;
775        font-size:12.0pt;
776        font-family:"Times New Roman",serif;
777        mso-fareast-font-family:"Times New Roman";
778        mso-fareast-theme-font:minor-fareast;
779        color:#4F4FFF;
780        font-weight:bold;}
781a:link, span.MsoHyperlink
782        {mso-style-noshow:yes;
783        mso-style-priority:99;
784        color:blue;
785        text-decoration:underline;
786        text-underline:single;}
787a:visited, span.MsoHyperlinkFollowed
788        {mso-style-noshow:yes;
789        mso-style-priority:99;
790        color:purple;
791        text-decoration:underline;
792        text-underline:single;}
793p.MsoDocumentMap, li.MsoDocumentMap, div.MsoDocumentMap
794        {mso-style-noshow:yes;
795        mso-style-priority:99;
796        mso-style-link:"Document Map Char";
797        margin:0in;
798        margin-bottom:.0001pt;
799        mso-pagination:widow-orphan;
800        font-size:8.0pt;
801        font-family:"Tahoma",sans-serif;
802        mso-fareast-font-family:"Times New Roman";
803        mso-fareast-theme-font:minor-fareast;}
804p
805        {mso-style-noshow:yes;
806        mso-style-priority:99;
807        mso-margin-top-alt:auto;
808        margin-right:0in;
809        mso-margin-bottom-alt:auto;
810        margin-left:0in;
811        mso-pagination:widow-orphan;
812        font-size:12.0pt;
813        font-family:"Times New Roman",serif;
814        mso-fareast-font-family:"Times New Roman";
815        mso-fareast-theme-font:minor-fareast;}
816pre
817        {mso-style-noshow:yes;
818        mso-style-priority:99;
819        mso-style-link:"HTML Preformatted Char";
820        margin:0in;
821        margin-bottom:.0001pt;
822        mso-pagination:widow-orphan;
823        tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;
824        font-size:10.0pt;
825        font-family:"Courier New";
826        mso-fareast-font-family:"Times New Roman";}
827p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
828        {mso-style-noshow:yes;
829        mso-style-priority:99;
830        mso-style-link:"Balloon Text Char";
831        margin:0in;
832        margin-bottom:.0001pt;
833        mso-pagination:widow-orphan;
834        font-size:8.0pt;
835        font-family:"Tahoma",sans-serif;
836        mso-fareast-font-family:"Times New Roman";
837        mso-fareast-theme-font:minor-fareast;}
838span.MsoPlaceholderText
839        {mso-style-noshow:yes;
840        mso-style-priority:99;
841        mso-style-unhide:no;
842        color:gray;}
843p.MsoNoSpacing, li.MsoNoSpacing, div.MsoNoSpacing
844        {mso-style-noshow:yes;
845        mso-style-priority:1;
846        mso-style-unhide:no;
847        mso-style-qformat:yes;
848        mso-style-parent:"";
849        margin:0in;
850        margin-bottom:.0001pt;
851        mso-pagination:widow-orphan;
852        font-size:12.0pt;
853        font-family:"Times New Roman",serif;
854        mso-fareast-font-family:"Times New Roman";
855        mso-fareast-theme-font:minor-fareast;}
856p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph
857        {mso-style-noshow:yes;
858        mso-style-priority:34;
859        mso-style-unhide:no;
860        mso-style-qformat:yes;
861        margin-top:0in;
862        margin-right:0in;
863        margin-bottom:0in;
864        margin-left:.5in;
865        margin-bottom:.0001pt;
866        mso-add-space:auto;
867        mso-pagination:widow-orphan;
868        font-size:12.0pt;
869        font-family:"Times New Roman",serif;
870        mso-fareast-font-family:"Times New Roman";
871        mso-fareast-theme-font:minor-fareast;}
872p.MsoListParagraphCxSpFirst, li.MsoListParagraphCxSpFirst, div.MsoListParagraphCxSpFirst
873        {mso-style-noshow:yes;
874        mso-style-priority:34;
875        mso-style-unhide:no;
876        mso-style-qformat:yes;
877        mso-style-type:export-only;
878        margin-top:0in;
879        margin-right:0in;
880        margin-bottom:0in;
881        margin-left:.5in;
882        margin-bottom:.0001pt;
883        mso-add-space:auto;
884        mso-pagination:widow-orphan;
885        font-size:12.0pt;
886        font-family:"Times New Roman",serif;
887        mso-fareast-font-family:"Times New Roman";
888        mso-fareast-theme-font:minor-fareast;}
889p.MsoListParagraphCxSpMiddle, li.MsoListParagraphCxSpMiddle, div.MsoListParagraphCxSpMiddle
890        {mso-style-noshow:yes;
891        mso-style-priority:34;
892        mso-style-unhide:no;
893        mso-style-qformat:yes;
894        mso-style-type:export-only;
895        margin-top:0in;
896        margin-right:0in;
897        margin-bottom:0in;
898        margin-left:.5in;
899        margin-bottom:.0001pt;
900        mso-add-space:auto;
901        mso-pagination:widow-orphan;
902        font-size:12.0pt;
903        font-family:"Times New Roman",serif;
904        mso-fareast-font-family:"Times New Roman";
905        mso-fareast-theme-font:minor-fareast;}
906p.MsoListParagraphCxSpLast, li.MsoListParagraphCxSpLast, div.MsoListParagraphCxSpLast
907        {mso-style-noshow:yes;
908        mso-style-priority:34;
909        mso-style-unhide:no;
910        mso-style-qformat:yes;
911        mso-style-type:export-only;
912        margin-top:0in;
913        margin-right:0in;
914        margin-bottom:0in;
915        margin-left:.5in;
916        margin-bottom:.0001pt;
917        mso-add-space:auto;
918        mso-pagination:widow-orphan;
919        font-size:12.0pt;
920        font-family:"Times New Roman",serif;
921        mso-fareast-font-family:"Times New Roman";
922        mso-fareast-theme-font:minor-fareast;}
923span.MsoIntenseReference
924        {mso-style-priority:32;
925        mso-style-unhide:no;
926        mso-style-qformat:yes;
927        font-variant:small-caps;
928        color:#C0504D;
929        mso-themecolor:accent2;
930        letter-spacing:.25pt;
931        font-weight:bold;
932        text-decoration:underline;
933        text-underline:single;}
934span.Heading1Char
935        {mso-style-name:"Heading 1 Char";
936        mso-style-priority:9;
937        mso-style-unhide:no;
938        mso-style-locked:yes;
939        mso-style-link:"Heading 1";
940        mso-ansi-font-size:24.0pt;
941        mso-bidi-font-size:24.0pt;
942        font-family:"Times New Roman",serif;
943        mso-ascii-font-family:"Times New Roman";
944        mso-fareast-font-family:"Times New Roman";
945        mso-fareast-theme-font:minor-fareast;
946        mso-hansi-font-family:"Times New Roman";
947        mso-bidi-font-family:"Times New Roman";
948        mso-font-kerning:18.0pt;
949        font-weight:bold;}
950span.Heading2Char
951        {mso-style-name:"Heading 2 Char";
952        mso-style-noshow:yes;
953        mso-style-priority:9;
954        mso-style-unhide:no;
955        mso-style-locked:yes;
956        mso-style-link:"Heading 2";
957        mso-ansi-font-size:18.0pt;
958        mso-bidi-font-size:18.0pt;
959        font-family:"Times New Roman",serif;
960        mso-ascii-font-family:"Times New Roman";
961        mso-fareast-font-family:"Times New Roman";
962        mso-fareast-theme-font:minor-fareast;
963        mso-hansi-font-family:"Times New Roman";
964        mso-bidi-font-family:"Times New Roman";
965        font-weight:bold;}
966span.Heading3Char
967        {mso-style-name:"Heading 3 Char";
968        mso-style-noshow:yes;
969        mso-style-priority:9;
970        mso-style-unhide:no;
971        mso-style-locked:yes;
972        mso-style-link:"Heading 3";
973        mso-ansi-font-size:13.5pt;
974        mso-bidi-font-size:13.5pt;
975        font-family:"Times New Roman",serif;
976        mso-ascii-font-family:"Times New Roman";
977        mso-fareast-font-family:"Times New Roman";
978        mso-fareast-theme-font:minor-fareast;
979        mso-hansi-font-family:"Times New Roman";
980        mso-bidi-font-family:"Times New Roman";
981        font-weight:bold;}
982span.Heading4Char
983        {mso-style-name:"Heading 4 Char";
984        mso-style-noshow:yes;
985        mso-style-priority:9;
986        mso-style-unhide:no;
987        mso-style-locked:yes;
988        mso-style-link:"Heading 4";
989        mso-ansi-font-size:13.0pt;
990        mso-bidi-font-size:13.0pt;
991        font-family:"Cambria",serif;
992        mso-ascii-font-family:Cambria;
993        mso-ascii-theme-font:major-latin;
994        mso-fareast-font-family:"Times New Roman";
995        mso-fareast-theme-font:major-fareast;
996        mso-hansi-font-family:Cambria;
997        mso-hansi-theme-font:major-latin;
998        mso-bidi-font-family:"Times New Roman";
999        mso-bidi-theme-font:major-bidi;
1000        color:#4F81BD;
1001        mso-themecolor:accent1;
1002        font-weight:bold;
1003        font-style:italic;}
1004span.Heading5Char
1005        {mso-style-name:"Heading 5 Char";
1006        mso-style-noshow:yes;
1007        mso-style-priority:9;
1008        mso-style-unhide:no;
1009        mso-style-locked:yes;
1010        mso-style-link:"Heading 5";
1011        mso-ansi-font-size:12.0pt;
1012        mso-bidi-font-size:12.0pt;
1013        font-family:"Times New Roman",serif;
1014        mso-ascii-font-family:"Times New Roman";
1015        mso-fareast-font-family:"Times New Roman";
1016        mso-fareast-theme-font:minor-fareast;
1017        mso-hansi-font-family:"Times New Roman";
1018        mso-bidi-font-family:"Times New Roman";
1019        color:#4F4FFF;
1020        font-weight:bold;}
1021span.HTMLPreformattedChar
1022        {mso-style-name:"HTML Preformatted Char";
1023        mso-style-noshow:yes;
1024        mso-style-priority:99;
1025        mso-style-unhide:no;
1026        mso-style-locked:yes;
1027        mso-style-link:"HTML Preformatted";
1028        font-family:"Courier New";
1029        mso-ascii-font-family:"Courier New";
1030        mso-fareast-font-family:"Times New Roman";
1031        mso-hansi-font-family:"Courier New";
1032        mso-bidi-font-family:"Courier New";}
1033p.msonormal0, li.msonormal0, div.msonormal0
1034        {mso-style-name:msonormal;
1035        mso-style-noshow:yes;
1036        mso-style-priority:99;
1037        mso-style-unhide:no;
1038        mso-margin-top-alt:auto;
1039        margin-right:0in;
1040        mso-margin-bottom-alt:auto;
1041        margin-left:0in;
1042        mso-pagination:widow-orphan;
1043        font-size:12.0pt;
1044        font-family:"Times New Roman",serif;
1045        mso-fareast-font-family:"Times New Roman";
1046        mso-fareast-theme-font:minor-fareast;}
1047span.DocumentMapChar
1048        {mso-style-name:"Document Map Char";
1049        mso-style-noshow:yes;
1050        mso-style-priority:99;
1051        mso-style-unhide:no;
1052        mso-style-locked:yes;
1053        mso-style-link:"Document Map";
1054        mso-ansi-font-size:8.0pt;
1055        mso-bidi-font-size:8.0pt;
1056        font-family:"Tahoma",sans-serif;
1057        mso-ascii-font-family:Tahoma;
1058        mso-fareast-font-family:"Times New Roman";
1059        mso-fareast-theme-font:minor-fareast;
1060        mso-hansi-font-family:Tahoma;
1061        mso-bidi-font-family:Tahoma;}
1062span.BalloonTextChar
1063        {mso-style-name:"Balloon Text Char";
1064        mso-style-noshow:yes;
1065        mso-style-priority:99;
1066        mso-style-unhide:no;
1067        mso-style-locked:yes;
1068        mso-style-link:"Balloon Text";
1069        mso-ansi-font-size:8.0pt;
1070        mso-bidi-font-size:8.0pt;
1071        font-family:"Tahoma",sans-serif;
1072        mso-ascii-font-family:Tahoma;
1073        mso-fareast-font-family:"Times New Roman";
1074        mso-fareast-theme-font:minor-fareast;
1075        mso-hansi-font-family:Tahoma;
1076        mso-bidi-font-family:Tahoma;}
1077span.SpellE
1078        {mso-style-name:"";
1079        mso-spl-e:yes;}
1080span.GramE
1081        {mso-style-name:"";
1082        mso-gram-e:yes;}
1083.MsoChpDefault
1084        {mso-style-type:export-only;
1085        mso-default-props:yes;
1086        font-size:10.0pt;
1087        mso-ansi-font-size:10.0pt;
1088        mso-bidi-font-size:10.0pt;
1089        font-family:"Calibri",sans-serif;
1090        mso-ascii-font-family:Calibri;
1091        mso-ascii-theme-font:minor-latin;
1092        mso-fareast-font-family:Calibri;
1093        mso-fareast-theme-font:minor-latin;
1094        mso-hansi-font-family:Calibri;
1095        mso-hansi-theme-font:minor-latin;
1096        mso-bidi-font-family:"Times New Roman";
1097        mso-bidi-theme-font:minor-bidi;}
1098@page WordSection1
1099        {size:8.5in 11.0in;
1100        margin:1.0in 1.0in 1.0in 1.0in;
1101        mso-header-margin:.5in;
1102        mso-footer-margin:.5in;
1103        mso-paper-source:0;}
1104div.WordSection1
1105        {page:WordSection1;}
1106 /* List Definitions */
1107 @list l0
1108        {mso-list-id:608973138;
1109        mso-list-type:hybrid;
1110        mso-list-template-ids:-1449999034 67698703 67698713 67698715 67698703 67698713 67698715 67698703 67698713 67698715;}
1111@list l0:level1
1112        {mso-level-tab-stop:none;
1113        mso-level-number-position:left;
1114        text-indent:-.25in;}
1115@list l0:level2
1116        {mso-level-number-format:alpha-lower;
1117        mso-level-tab-stop:none;
1118        mso-level-number-position:left;
1119        text-indent:-.25in;}
1120@list l0:level3
1121        {mso-level-number-format:roman-lower;
1122        mso-level-tab-stop:none;
1123        mso-level-number-position:right;
1124        text-indent:-9.0pt;}
1125@list l0:level4
1126        {mso-level-tab-stop:none;
1127        mso-level-number-position:left;
1128        text-indent:-.25in;}
1129@list l0:level5
1130        {mso-level-number-format:alpha-lower;
1131        mso-level-tab-stop:none;
1132        mso-level-number-position:left;
1133        text-indent:-.25in;}
1134@list l0:level6
1135        {mso-level-number-format:roman-lower;
1136        mso-level-tab-stop:none;
1137        mso-level-number-position:right;
1138        text-indent:-9.0pt;}
1139@list l0:level7
1140        {mso-level-tab-stop:none;
1141        mso-level-number-position:left;
1142        text-indent:-.25in;}
1143@list l0:level8
1144        {mso-level-number-format:alpha-lower;
1145        mso-level-tab-stop:none;
1146        mso-level-number-position:left;
1147        text-indent:-.25in;}
1148@list l0:level9
1149        {mso-level-number-format:roman-lower;
1150        mso-level-tab-stop:none;
1151        mso-level-number-position:right;
1152        text-indent:-9.0pt;}
1153ol
1154        {margin-bottom:0in;}
1155ul
1156        {margin-bottom:0in;}
1157-->
1158</style>
1159<!--[if gte mso 10]>
1160<style>
1161 /* Style Definitions */
1162 table.MsoNormalTable
1163        {mso-style-name:"Table Normal";
1164        mso-tstyle-rowband-size:0;
1165        mso-tstyle-colband-size:0;
1166        mso-style-noshow:yes;
1167        mso-style-priority:99;
1168        mso-style-parent:"";
1169        mso-padding-alt:0in 5.4pt 0in 5.4pt;
1170        mso-para-margin:0in;
1171        mso-para-margin-bottom:.0001pt;
1172        mso-pagination:widow-orphan;
1173        font-size:10.0pt;
1174        font-family:"Calibri",sans-serif;
1175        mso-ascii-font-family:Calibri;
1176        mso-ascii-theme-font:minor-latin;
1177        mso-hansi-font-family:Calibri;
1178        mso-hansi-theme-font:minor-latin;
1179        mso-bidi-font-family:"Times New Roman";
1180        mso-bidi-theme-font:minor-bidi;}
1181table.MsoTableGrid
1182        {mso-style-name:"Table Grid";
1183        mso-tstyle-rowband-size:0;
1184        mso-tstyle-colband-size:0;
1185        mso-style-priority:59;
1186        mso-style-unhide:no;
1187        border:solid windowtext 1.0pt;
1188        mso-border-alt:solid windowtext .5pt;
1189        mso-padding-alt:0in 5.4pt 0in 5.4pt;
1190        mso-border-insideh:.5pt solid windowtext;
1191        mso-border-insidev:.5pt solid windowtext;
1192        mso-para-margin:0in;
1193        mso-para-margin-bottom:.0001pt;
1194        mso-pagination:widow-orphan;
1195        font-size:10.0pt;
1196        font-family:"Calibri",sans-serif;
1197        mso-ascii-font-family:Calibri;
1198        mso-ascii-theme-font:minor-latin;
1199        mso-hansi-font-family:Calibri;
1200        mso-hansi-theme-font:minor-latin;}
1201</style>
1202<![endif]--><!--[if gte mso 9]><xml>
1203 <o:shapedefaults v:ext="edit" spidmax="1026"/>
1204</xml><![endif]--><!--[if gte mso 9]><xml>
1205 <o:shapelayout v:ext="edit">
1206  <o:idmap v:ext="edit" data="1"/>
1207 </o:shapelayout></xml><![endif]-->
1208</head>
1209
1210<body lang=EN-US link=blue vlink=purple style='tab-interval:.5in'>
1211
1212<div class=WordSection1>
1213
1214<h1><strong><span style='mso-bidi-font-weight:normal'>Small Angle X-Ray Data –
1215Size Distribution in Alumina Powder</span><o:p></o:p></strong></h1>
1216
1217<p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'>In
1218this tutorial you will determine the size distribution of particles in an
1219alumina polishing powder using data from a constant wavelength synchrotron
1220X-ray USAXS instrument. You will use both Maximum Entropy (<span class=SpellE>MaxEnt</span>)
1221and Total Non-Negative Least Squares (TNNLS) methods assuming spherical
1222particles. The data were collected from <span style='mso-fareast-font-family:
1223Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-weight:bold;
1224mso-bidi-font-style:italic'>powders spread onto sticky tape and covered with
1225another layer of the same tape. The data were corrected for background from
1226data collected from two layers of sticky tape. However, the sample thickness is
1227not</span> accurately known <span style='mso-fareast-font-family:Calibri;
1228mso-fareast-theme-font:minor-latin;mso-bidi-font-weight:bold;mso-bidi-font-style:
1229italic'>so the data are not calibrated on an absolute scale.<o:p></o:p></span></p>
1230
1231<p class=MsoNormal>If you have not done so already, start GSAS-II.</p>
1232
1233<h2>Step 1: read in the data file</h2>
1234
1235<p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span
1236style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span
1237style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]>Use
1238the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1239mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1240minor-latin'>Import/Small Angle Data/from q (A-1) step X-ray QIE data file</span></b>
1241menu item to read the data file into GSAS-II. This read option is set to read
1242three column small angle scattering data (SASD) as Q in Å<sup>-1</sup>,
1243intensity and estimated standard deviation in intensity; there may be a header
1244with metadata information in the front of this file.<span
1245style='mso-spacerun:yes'>  </span>Change the file directory to <span
1246class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family:
1247"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
1248minor-latin;mso-bidi-theme-font:minor-latin'>SAsize</span></b></span><b
1249style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1250mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1251minor-latin'>/data</span></b><span style='font-family:"Calibri",sans-serif;
1252mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1253minor-latin'> to find the file</span>; you will have to select the ‘<b
1254style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1255mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>any file
1256(*.*)</span></b>’ filter to see it.</p>
1257
1258<p class=MsoListParagraphCxSpLast style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span
1259style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span
1260style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]>Select
1261the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1262mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1263minor-latin'>alumina data.dat</span></b><span style='font-family:"Calibri",sans-serif;
1264mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1265minor-latin'> data</span> file in the first dialog and press <b
1266style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1267mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1268minor-latin'>Open</span></b>. There will be a Dialog box asking <b
1269style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1270mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
1271minor-latin'>Is this the file you want?</span></b> Press <b style='mso-bidi-font-weight:
1272normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1273minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Yes</span></b>
1274button to proceed.</p>
1275
1276<p class=MsoNormal>At this point the <b style='mso-bidi-font-weight:normal'><span
1277style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1278mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>GSAS-II data
1279tree</span></b> window will have several entries and the plot window will show
1280the SASD pattern as a log-log plot of intensity vs. Q</p>
1281
1282<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype
1283 id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t"
1284 path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
1285 <v:stroke joinstyle="miter"/>
1286 <v:formulas>
1287  <v:f eqn="if lineDrawn pixelLineWidth 0"/>
1288  <v:f eqn="sum @0 1 0"/>
1289  <v:f eqn="sum 0 0 @1"/>
1290  <v:f eqn="prod @2 1 2"/>
1291  <v:f eqn="prod @3 21600 pixelWidth"/>
1292  <v:f eqn="prod @3 21600 pixelHeight"/>
1293  <v:f eqn="sum @0 0 1"/>
1294  <v:f eqn="prod @6 1 2"/>
1295  <v:f eqn="prod @7 21600 pixelWidth"/>
1296  <v:f eqn="sum @8 21600 0"/>
1297  <v:f eqn="prod @7 21600 pixelHeight"/>
1298  <v:f eqn="sum @10 21600 0"/>
1299 </v:formulas>
1300 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
1301 <o:lock v:ext="edit" aspectratio="t"/>
1302</v:shapetype><v:shape id="_x0000_i1038" type="#_x0000_t75" style='width:525pt;
1303 height:450pt;visibility:visible;mso-wrap-style:square'>
1304 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image001.png"
1305  o:title=""/>
1306</v:shape><![endif]--><![if !vml]><img width=700 height=600
1307src="Small%20Angle%20Size%20Distribution_files/image001.png" v:shapes="_x0000_i1038"><![endif]></span></p>
1308
1309<h2>Step 2: Set Limits</h2>
1310
1311<p class=MsoNormal>For this step we will reposition the limits to enclose only
1312that part of the SASD pattern suitable for size distribution analysis.
1313Typically this covers 10<sup>-3</sup> &lt; Q &lt; 10<sup>-1</sup>; below this
1314range scattering is from very large objects not readily described by the size
1315distribution analysis and above the scattering is mostly background. Select <b
1316style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1317mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Limits</span></b>
1318under <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1319mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina
1320data.dat</span></b> from the GSAS-II tree. Then set <b style='mso-bidi-font-weight:
1321normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1322minor-latin;mso-hansi-theme-font:minor-latin'>changed</span></b> to <b
1323style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1324mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>0.001</span></b>
1325for <span class=SpellE><b style='mso-bidi-font-weight:normal'><span
1326style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1327mso-hansi-theme-font:minor-latin'>Tmin</span></b></span> and <b
1328style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1329mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>0.1</span></b>
1330for <span class=SpellE><b style='mso-bidi-font-weight:normal'><span
1331style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1332mso-hansi-theme-font:minor-latin'>Tmax</span></b></span>. You can also set the
1333limits using the cursor on the plot by either picking a point on the curve with
1334the left or right mouse button or by dragging the green and red vertical lines
1335to the desired positions. The limits window should look like</p>
1336
1337<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1338 id="Picture_x0020_15" o:spid="_x0000_i1037" type="#_x0000_t75" style='width:225pt;
1339 height:96.75pt;visibility:visible;mso-wrap-style:square'>
1340 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image002.png"
1341  o:title=""/>
1342</v:shape><![endif]--><![if !vml]><img width=300 height=129
1343src="Small%20Angle%20Size%20Distribution_files/image002.png" v:shapes="Picture_x0020_15"><![endif]></span><span
1344style='mso-spacerun:yes'> </span></p>
1345
1346<h2>Step 3 Select the scattering substances for your sample</h2>
1347
1348<p class=MsoNormal><span style='mso-no-proof:yes'>Two scsttering substances
1349need to be defined for your sample to give the anticipated scattering contrast;
1350in this case one is alumina and the other is “vacuum” (really air). Parameters
1351for a number of substances are defined in the file </span><b style='mso-bidi-font-weight:
1352normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1353minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>Substances.py</span></b><span
1354style='mso-no-proof:yes'>. You can add your own substances to this or better
1355put them in </span><b style='mso-bidi-font-weight:normal'><span
1356style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1357mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>UserSubstances.py</span></b><span
1358style='mso-no-proof:yes'>; this is read after </span><b style='mso-bidi-font-weight:
1359normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1360minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>Substances.py</span></b><span
1361style='mso-no-proof:yes'> when you load substances for your selection. </span>Select
1362<b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1363mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Substances</span></b>
1364under <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1365mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina
1366data.dat</span></b> from the GSAS-II tree. Then do <span class=GramE><b
1367style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1368mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit</span></b></span><b
1369style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1370mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> substance/Load</span></b>
1371<b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1372mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>substance</span></b>
1373from the menu; a popup window will appear with possible selections</p>
1374
1375<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1376 id="Picture_x0020_23" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:259.5pt;
1377 height:252pt;visibility:visible;mso-wrap-style:square'>
1378 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image003.png"
1379  o:title=""/>
1380</v:shape><![endif]--><![if !vml]><img width=346 height=336
1381src="Small%20Angle%20Size%20Distribution_files/image003.png" v:shapes="Picture_x0020_23"><![endif]><o:p></o:p></span></p>
1382
1383<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1384
1385<p class=MsoNormal>Select <b style='mso-bidi-font-weight:normal'><span
1386style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1387mso-hansi-theme-font:minor-latin'>Alumina</span></b> and press <b
1388style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1389mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>OK</span></b>;
1390the relevant data for alumina (and vacuum) are displayed next</p>
1391
1392<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1393 id="Picture_x0020_16" o:spid="_x0000_i1035" type="#_x0000_t75" style='width:280.5pt;
1394 height:246pt;visibility:visible;mso-wrap-style:square'>
1395 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image004.png"
1396  o:title=""/>
1397</v:shape><![endif]--><![if !vml]><img width=374 height=328
1398src="Small%20Angle%20Size%20Distribution_files/image004.png" v:shapes="Picture_x0020_16"><![endif]></span><span
1399style='mso-spacerun:yes'> </span></p>
1400
1401<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1402
1403<p class=MsoNormal>If desired you can load/add as many substances as you want into
1404this list; you can also delete any of them (except vacuum &amp; unit scatter).
1405The composition, volume occupied by the atoms in the composition and the
1406density are given for each substance. These can each be edited; the other
1407values will change accordingly. If your substance isn’t in the list, you can <b
1408style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1409mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit/Add
1410substance</span></b> to create a new one (you will be asked for a name and the
1411set of elements in two successive popup windows). From this information the
1412scattering density and that as affected by resonant scattering for the listed
1413wavelength is displayed (the wavelength can be changed in the <b
1414style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1415mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Instrument
1416Parameters</span></b> GSAS-II tree item if needed). The real density value is
1417used for contrast calculations.</p>
1418
1419<h2>Step 4: Set Sample parameters </h2>
1420
1421<p class=MsoNormal>Two of the substances you have loaded into GSAS-II next need
1422to be selected for this size distribution analysis; Select <b style='mso-bidi-font-weight:
1423normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1424minor-latin;mso-hansi-theme-font:minor-latin'>Sample Parameters</span></b>
1425under <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1426mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina
1427data.dat</span></b> from the GSAS-II tree. Near the bottom of the window will
1428be two rows marked “<b style='mso-bidi-font-weight:normal'><span
1429style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1430mso-hansi-theme-font:minor-latin'>Material</span></b>”; select <b
1431style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1432mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Alumina</span></b>
1433from one of the pull downs (leave the other as <b style='mso-bidi-font-weight:
1434normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1435minor-latin;mso-hansi-theme-font:minor-latin'>vacuum</span></b>). The window
1436will show at the bottom the computed contrast between alumina and vacuum
1437without and with consideration of resonant scattering effects; the latter is
1438used in subsequent calculations.</p>
1439
1440<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1441 id="Picture_x0020_17" o:spid="_x0000_i1034" type="#_x0000_t75" style='width:305.25pt;
1442 height:408pt;visibility:visible;mso-wrap-style:square'>
1443 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image005.png"
1444  o:title=""/>
1445</v:shape><![endif]--><![if !vml]><img width=407 height=544
1446src="Small%20Angle%20Size%20Distribution_files/image005.png" v:shapes="Picture_x0020_17"><![endif]></span></p>
1447
1448<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1449
1450<p class=MsoNormal>For experiments for which you know the transmission and the
1451sample thickness, you can manipulate the <b style='mso-bidi-font-weight:normal'><span
1452style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1453mso-hansi-theme-font:minor-latin'>volume fractions</span></b> to make the
1454calculated transmission match the observed one. Additionally, if you have
1455absolute scaling information, you can rescale the data by adjusting the <b
1456style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1457mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>histogram
1458scale factor</span></b>; multiple data sets can be scaled together via the <b
1459style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1460mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Command/Set
1461scale</span></b> menu item.</p>
1462
1463<h2>Step 5 Size distribution via Maximum Entropy</h2>
1464
1465<p class=MsoNormal>You are now ready to attempt a size distribution analysis
1466using the maximum entropy method. Select <b style='mso-bidi-font-weight:normal'><span
1467style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1468mso-hansi-theme-font:minor-latin'>Models</span></b> under <b style='mso-bidi-font-weight:
1469normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1470minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina data.dat</span></b>
1471from the GSAS-II tree; the window will display</p>
1472
1473<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1474 id="Picture_x0020_18" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:361.5pt;
1475 height:191.25pt;visibility:visible;mso-wrap-style:square'>
1476 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image006.png"
1477  o:title=""/>
1478</v:shape><![endif]--><![if !vml]><img width=482 height=255
1479src="Small%20Angle%20Size%20Distribution_files/image006.png" v:shapes="Picture_x0020_18"><![endif]></span></p>
1480
1481<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1482
1483<p class=MsoNormal>Many selections are made by default for this analysis;
1484however it is important that an appropriate value is selected for the
1485background. From the high Q end of the data plot</p>
1486
1487<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1488 id="Picture_x0020_19" o:spid="_x0000_i1032" type="#_x0000_t75" style='width:525pt;
1489 height:450pt;visibility:visible;mso-wrap-style:square'>
1490 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image007.png"
1491  o:title=""/>
1492</v:shape><![endif]--><![if !vml]><img width=700 height=600
1493src="Small%20Angle%20Size%20Distribution_files/image007.png" v:shapes="Picture_x0020_19"><![endif]></span><span
1494style='mso-spacerun:yes'> </span></p>
1495
1496<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1497
1498<p class=MsoNormal>It is clear that the intensity levels off at an apparent
1499background level of ~<b style='mso-bidi-font-weight:normal'><span
1500style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1501mso-hansi-theme-font:minor-latin'>0.12</span></b>; enter that into the
1502appropriate place in the data window. The plot will be redrawn showing a
1503horizontal red line for the background. All the other parameters seem reasonable
1504for a 1<sup>st</sup> attempt at a <span class=SpellE>MaxEnt</span> solution. Do
1505<b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1506mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Models/Fit</span></b>;
1507the console window will show that the calculation did not converge and the <b
1508style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1509mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Size
1510Distribution</span></b> plot has a “choppy” appearance.</p>
1511
1512<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1513 id="Picture_x0020_28" o:spid="_x0000_i1031" type="#_x0000_t75" style='width:525pt;
1514 height:450pt;visibility:visible;mso-wrap-style:square'>
1515 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image008.png"
1516  o:title=""/>
1517</v:shape><![endif]--><![if !vml]><img width=700 height=600
1518src="Small%20Angle%20Size%20Distribution_files/image008.png" v:shapes="Picture_x0020_28"><![endif]></span></p>
1519
1520<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1521
1522<p class=MsoNormal>This is not a satisfactory result, but the suggestion given
1523in the console window is worth trying. Change the <b style='mso-bidi-font-weight:
1524normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1525minor-latin;mso-hansi-theme-font:minor-latin'>Error multiplier</span></b> to <b
1526style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1527mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>5</span></b>
1528(notice the increased error bars on the data plot) and repeat <b
1529style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1530mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Model/Fit</span></b>.
1531Convergence is now achieved in &lt;10 cycles (see console window for details)
1532and a much smoother size distribution results</p>
1533
1534<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1535 id="Picture_x0020_29" o:spid="_x0000_i1030" type="#_x0000_t75" style='width:525pt;
1536 height:450pt;visibility:visible;mso-wrap-style:square'>
1537 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image009.png"
1538  o:title=""/>
1539</v:shape><![endif]--><![if !vml]><img width=700 height=600
1540src="Small%20Angle%20Size%20Distribution_files/image009.png" v:shapes="Picture_x0020_29"><![endif]></span></p>
1541
1542<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1543
1544<p class=MsoNormal>This is a good result: clearly the alumina polishing powder
1545has a bimodal distribution with diameters centered about ~1600Å and ~160Å (not
1546500Å and 1µm as advertised by the manufacturer!).</p>
1547
1548<p class=MsoNormal>You may wish to explore the effect of some of the other
1549parameters in the data window. Most are obvious but <b style='mso-bidi-font-weight:
1550normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1551minor-latin;mso-hansi-theme-font:minor-latin'>Log floor factor</span></b> needs
1552a bit of explanation. This is the log of the minimum size distribution (scaled
1553by the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1554mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>histogram
1555scale factor</span></b> and the <b style='mso-bidi-font-weight:normal'><span
1556style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1557mso-hansi-theme-font:minor-latin'>contrast</span></b>). This size distribution
1558minimum needs to be set within 1-2 orders of magnitude of the optimal value and
1559can differ from the default of 10<sup>-3; </sup>it is worth changing if
1560convergence is poor despite trying different error multipliers. Try changing it
1561to see what effect it has on the result. With the original settings the data
1562fit looks like</p>
1563
1564<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1565 id="Picture_x0020_20" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:525pt;
1566 height:450pt;visibility:visible;mso-wrap-style:square'>
1567 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image010.png"
1568  o:title=""/>
1569</v:shape><![endif]--><![if !vml]><img width=700 height=600
1570src="Small%20Angle%20Size%20Distribution_files/image010.png" v:shapes="Picture_x0020_20"><![endif]></span></p>
1571
1572<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1573
1574<p class=MsoNormal>The green curve is the result calculated from the size
1575distribution. Notice that it is not perfect, there is appreciable misfit around
1576Q=0.003Å<sup>-1</sup>. This may be due to the assumption that the particles are
1577spheres; they could be some other shape (I could get a better fit by setting
1578the Spheroid aspect ratio to 2.0), however this tool is not really the
1579appropriate one to make this determination.</p>
1580
1581<h2>Step 6 Size Distribution <i style='mso-bidi-font-style:normal'>via</i>
1582Total Non-Negative Least Squares (TNNLS)</h2>
1583
1584<p class=MsoNormal>An alternative method for determining size distributions is
1585the TNNLS or Interior-Point Gradient (IPG) method. As the name implies this is
1586a gradient refinement method for the special case of all positive data and
1587parameter values. To try it on this alumina data, select <b style='mso-bidi-font-weight:
1588normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1589minor-latin;mso-hansi-theme-font:minor-latin'>IPG</span></b> from the <b
1590style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1591mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Fitting
1592method</span></b> pull down. The data window will change to give</p>
1593
1594<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1595 id="Picture_x0020_21" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:375.75pt;
1596 height:191.25pt;visibility:visible;mso-wrap-style:square'>
1597 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image011.png"
1598  o:title=""/>
1599</v:shape><![endif]--><![if !vml]><img width=501 height=255
1600src="Small%20Angle%20Size%20Distribution_files/image011.png" v:shapes="Picture_x0020_21"><![endif]></span></p>
1601
1602<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1603
1604<p class=MsoNormal>Reset the Error multiplier back to <b style='mso-bidi-font-weight:
1605normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1606minor-latin;mso-hansi-theme-font:minor-latin'>1.0</span></b> and then do <b
1607style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1608mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Models/Fit</span></b>
1609to run the IPG fitting. The IPG algorithm did not converge in 100 cycles and
1610resulting size distribution is a little choppy but has roughly the same bimodal
1611distribution found by <span class=SpellE>MaxEnt</span>.</p>
1612
1613<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1614 id="Picture_x0020_289" o:spid="_x0000_i1027" type="#_x0000_t75" style='width:621.75pt;
1615 height:450pt;visibility:visible;mso-wrap-style:square'>
1616 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image012.png"
1617  o:title=""/>
1618</v:shape><![endif]--><![if !vml]><img width=829 height=600
1619src="Small%20Angle%20Size%20Distribution_files/image012.png" v:shapes="Picture_x0020_289"><![endif]></span></p>
1620
1621<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1622
1623<p class=MsoNormal>This can be considerably improved by setting the <b
1624style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1625mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Error
1626multiplier</span></b> to <b style='mso-bidi-font-weight:normal'><span
1627style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1628mso-hansi-theme-font:minor-latin'>2.0</span></b>; the IPG fit con<span
1629style='mso-no-proof:yes'>verges in &lt;20 cycles and gives a smoother size
1630distribution.<o:p></o:p></span></p>
1631
1632<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1633 id="Picture_x0020_291" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:621.75pt;
1634 height:450pt;visibility:visible;mso-wrap-style:square'>
1635 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image013.png"
1636  o:title=""/>
1637</v:shape><![endif]--><![if !vml]><img width=829 height=600
1638src="Small%20Angle%20Size%20Distribution_files/image013.png" v:shapes="Picture_x0020_291"><![endif]></span></p>
1639
1640<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1641
1642<p class=MsoNormal>The bimodal distribution is again quite clear with ~1400Å
1643and ~150Å diameter particles. This method appears to give a better fit to the
1644data than the <span class=SpellE>MaxEnt</span> method particularly in the
1645Q~0.003Å<sup>-1</sup> region’</p>
1646
1647<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
1648 id="Picture_x0020_22" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:525pt;
1649 height:450pt;visibility:visible;mso-wrap-style:square'>
1650 <v:imagedata src="Small%20Angle%20Size%20Distribution_files/image014.png"
1651  o:title=""/>
1652</v:shape><![endif]--><![if !vml]><img width=700 height=600
1653src="Small%20Angle%20Size%20Distribution_files/image014.png" v:shapes="Picture_x0020_22"><![endif]></span></p>
1654
1655<p class=MsoNormal><o:p>&nbsp;</o:p></p>
1656
1657<p class=MsoNormal>You may wish to explore the other parameters for the IPG
1658fitting. If <b style='mso-bidi-font-weight:normal'><span style='font-family:
1659"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
1660minor-latin'>Q power weight</span></b> is set to <b style='mso-bidi-font-weight:
1661normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1662minor-latin;mso-hansi-theme-font:minor-latin'>0-4</span></b>, that changes the
1663data weighting to <span class=SpellE>Q<sup>p</sup></span>. This can change the
1664convergence of the IPG method and yield improved results if one is unsuccessful
1665with the default settings. I got a nice fit with a <b style='mso-bidi-font-weight:
1666normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
1667minor-latin;mso-hansi-theme-font:minor-latin'>Q power weight</span></b> of <b
1668style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1669mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>3</span></b>
1670and <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
1671mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Error
1672multiplier</span></b> of <b style='mso-bidi-font-weight:normal'><span
1673style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
1674mso-hansi-theme-font:minor-latin'>2.0</span></b>.</p>
1675
1676<p class=MsoNormal>You should save this GSAS-II project as it will be used in
1677the tutorial for fitting small angle scattering data; I used <span
1678class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family:
1679"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
1680minor-latin'>alumina.gpx</span></b></span>.</p>
1681
1682</div>
1683
1684</body>
1685
1686</html>
Note: See TracBrowser for help on using the repository browser.