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olor-index:
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eating
 images of light-opaque </span></span><span style=3D'position:absolute;
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ly:
 Arial;font-size:63%'>materials relies on the relationship between density =
of
 materials </span></span><span style=3D'position:absolute;top:49.29%;left:3=
.83%;
 width:87.52%;height:25.35%'><span style=3D'font-family:Arial;font-size:63%=
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 absorption of x-rays.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Applic=
ations
 include a variety of </span></span><span style=3D'position:absolute;top:74=
.64%;
 left:3.83%;width:81.38%;height:25.35%'><span style=3D'font-family:Arial;
 font-size:63%'>medical and industrial applications.&#13;</span></span></di=
v>
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span
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relies
 on characteristic </span></span><span style=3D'position:absolute;top:25.35=
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</span></span><span
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'><span
 style=3D'font-family:Arial;font-size:63%'>high-energy x-ray source and is =
used
 primarily to determine </span></span><span style=3D'position:absolute;
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ly:
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 style=3D'font-family:Arial;font-size:63%'>X-ray crystallography relies on =
the
 dual wave/particle nature of </span></span><span style=3D'position:absolut=
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Arial;
 mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman"'>Uses of
 X-Ray Powder </span></span><span style=3D'position:absolute;top:17.75%;
 left:8.42%;width:83.14%;height:9.25%'><span style=3D'font-family:Arial;
 mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman"'>Diffra=
ction</span>
 </span></div>
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9699"
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ute;
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rial;
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olor-index:
 7;position:absolute;left:-5.66%;font-family:Symbol'>&middot;</span></span>=
<span
 style=3D'font-family:Arial;font-size:63%'>Radiation safety for users of X-=
ray
 diffraction&#13;</span></span></div>
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:15.16%;
 width:69.85%;height:4.5%;white-space:nowrap'><span style=3D'position:absol=
ute;
 top:0%;left:5.36%;width:94.63%;height:100.0%'><span style=3D'font-family:A=
rial;
 font-size:63%'><span style=3D'mso-special-format:bullet;color:yellow;mso-c=
olor-index:
 7;position:absolute;left:-5.66%;font-family:Symbol'>&middot;</span></span>=
<span
 style=3D'font-family:Arial;font-size:63%'>The generation of X- rays&#13;</=
span></span></div>
 <div id=3D"_x0000_s29699_74_103" style=3D'position:absolute;top:56.0%;left=
:15.16%;
 width:69.85%;height:4.5%;white-space:nowrap'><span style=3D'position:absol=
ute;
 top:0%;left:5.36%;width:94.63%;height:100.0%'><span style=3D'font-family:A=
rial;
 font-size:63%'><span style=3D'mso-special-format:bullet;color:yellow;mso-c=
olor-index:
 7;position:absolute;left:-5.66%;font-family:Symbol'>&middot;</span></span>=
<span
 style=3D'font-family:Arial;font-size:63%'>The geometry of diffraction &#13=
;</span></span></div>
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 left:15.16%;width:69.85%;height:4.5%;white-space:nowrap'><span
 style=3D'position:absolute;top:0%;left:5.36%;width:94.63%;height:100.0%'><=
span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-5.66%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Bragg&#8217;s Law&#13;</span></s=
pan></div>
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 left:15.16%;width:69.85%;height:4.5%;white-space:nowrap'><span
 style=3D'position:absolute;top:0%;left:5.36%;width:94.63%;height:100.0%'><=
span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-5.66%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Basics of X-ray crystallography&=
#13;</span></span></div>
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t:15.16%;
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ute;
 top:0%;left:5.22%;width:94.77%;height:100.0%'><span style=3D'font-family:A=
rial;
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olor-index:
 7;position:absolute;left:-5.5%;font-family:Symbol'>&middot;</span></span><=
span
 style=3D'font-family:Arial;font-size:63%'>Sample and specimen preparation
 techniques</span></span></div>
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.0%;
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Arial;
 mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman"'>Uses of
 X-Ray Powder </span></span><span style=3D'position:absolute;top:17.75%;
 left:8.42%;width:83.14%;height:9.25%'><span style=3D'font-family:Arial;
 mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman"'>Diffra=
ction</span>
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3251"
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lay=3D"0"
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 <div id=3D"_x0000_s53251_0_103" style=3D'mso-line-spacing:"90 20 0";positi=
on:absolute;
 top:44.0%;left:7.67%;width:91.94%;height:8.5%;white-space:nowrap'><span
 style=3D'position:absolute;top:0%;left:4.07%;width:95.92%;height:52.94%'><=
span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.24%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Identification of single-phase
 materials &#8211; minerals, chemical </span></span><span style=3D'position=
:absolute;
 top:47.05%;left:4.07%;width:86.35%;height:52.94%'><span style=3D'font-fami=
ly:
 Arial;font-size:63%'>compounds or other engineered materials.&#13;</span><=
/span></div>
 <div id=3D"_x0000_s53251_103_180" style=3D'mso-line-spacing:"90 20 0";posi=
tion:
 absolute;top:52.75%;left:7.67%;width:98.68%;height:8.5%;white-space:nowrap=
'><span
 style=3D'position:absolute;top:0%;left:3.79%;width:96.2%;height:52.94%'><s=
pan
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-3.94%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Identification of multiple phase=
s in
 microcrystalline mixtures (i.e., </span></span><span style=3D'position:abs=
olute;
 top:47.05%;left:3.79%;width:80.45%;height:52.94%'><span style=3D'font-fami=
ly:
 Arial;font-size:63%'>rocks)&#13;</span></span></div>
 <div id=3D"_x0000_s53251_180_239" style=3D'mso-line-spacing:"90 20 0";posi=
tion:
 absolute;top:61.75%;left:7.67%;width:85.2%;height:4.5%;white-space:nowrap'=
><span
 style=3D'position:absolute;top:0%;left:4.39%;width:95.6%;height:100.0%'><s=
pan
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.59%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Determination of crystal structu=
re of
 identified materials&#13;</span></span></div>
 <div id=3D"_x0000_s53251_239_332" style=3D'mso-line-spacing:"90 20 0";posi=
tion:
 absolute;top:66.5%;left:7.67%;width:86.51%;height:8.5%;white-space:nowrap'=
><span
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span
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t:bullet;
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ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Identification and structural an=
alysis
 of clay minerals (an </span></span><span style=3D'position:absolute;top:47=
.05%;
 left:4.32%;width:91.77%;height:52.94%'><span style=3D'font-family:Arial;
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><span
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span
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t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.39%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;font-size:63%'>Recognition of amorphous materia=
ls in
 partially crystalline </span></span><span style=3D'position:absolute;top:4=
7.05%;
 left:4.21%;width:89.26%;height:52.94%'><span style=3D'font-family:Arial;
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Arial;
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 X-Ray Powder </span></span><span style=3D'position:absolute;top:17.75%;
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span
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t:bullet;
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ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=
y:
 "Times New Roman";font-size:63%'>Crystallographic structural analysis and
 unit-cell calculations for </span></span><span style=3D'position:absolute;
 top:47.05%;left:3.83%;width:81.38%;height:52.94%'><span style=3D'font-fami=
ly:
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ial;
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ion:
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p'><span
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span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.24%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=
y:
 "Times New Roman";font-size:63%'>Quantitative determination of amounts of
 different phases in </span></span><span style=3D'position:absolute;top:47.=
05%;
 left:4.07%;width:86.35%;height:52.94%'><span style=3D'font-family:Arial;
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ze:
 63%'>multi-phase mixtures by peak-ratio calculations.</span><span
 style=3D'font-family:Arial;font-size:63%'> &#13;</span></span></div>
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tion:
 absolute;top:61.75%;left:10.11%;width:83.7%;height:8.5%;white-space:nowrap=
'><span
 style=3D'position:absolute;top:0%;left:4.47%;width:95.52%;height:52.94%'><=
span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.68%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=
y:
 "Times New Roman";font-size:63%'>Quantitative determination of phases by
 whole-pattern </span></span><span style=3D'position:absolute;top:47.05%;
 left:4.47%;width:94.85%;height:52.94%'><span style=3D'font-family:Arial;
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ze:
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13;</span></span></div>
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tion:
 absolute;top:70.5%;left:10.11%;width:83.14%;height:8.5%;white-space:nowrap=
'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:52.94%'><s=
pan
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.71%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=
y:
 "Times New Roman";font-size:63%'>Determination of crystallite size from
 analysis of peak </span></span><span style=3D'position:absolute;top:47.05%;
 left:4.5%;width:95.49%;height:52.94%'><span style=3D'font-family:Arial;
 mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman";font-si=
ze:
 63%'>broadening.</span><span style=3D'font-family:Arial;font-size:63%'> &#=
13;</span></span></div>
 <div id=3D"_x0000_s30723_339_400" style=3D'mso-line-spacing:"90 20 0";posi=
tion:
 absolute;top:79.5%;left:10.11%;width:92.32%;height:4.5%;white-space:nowrap=
'><span
 style=3D'position:absolute;top:0%;left:4.05%;width:95.94%;height:100.0%'><=
span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.22%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=
y:
 "Times New Roman";font-size:63%'>Determine of crystallite shape from study=
 of
 peak symmetry.</span><span style=3D'font-family:Arial;font-size:63%'> &#13=
;</span></span></div>
 <div id=3D"_x0000_s30723_400_489" style=3D'mso-line-spacing:"90 20 0";posi=
tion:
 absolute;top:84.25%;left:10.11%;width:92.69%;height:8.5%;white-space:nowra=
p'><span
 style=3D'position:absolute;top:0%;left:4.04%;width:95.75%;height:52.94%'><=
span
 style=3D'font-family:Arial;font-size:63%'><span style=3D'mso-special-forma=
t:bullet;
 color:yellow;mso-color-index:7;position:absolute;left:-4.21%;font-family:S=
ymbol'>&middot;</span></span><span
 style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=
y:
 "Times New Roman";font-size:63%'>Study of thermal expansion in crystal
 structures using in-situ </span></span><span style=3D'position:absolute;
 top:47.05%;left:4.04%;width:85.65%;height:52.94%'><span style=3D'font-fami=
ly:
 Arial;mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman";
 font-size:63%'>heating stage equipment.</span><span style=3D'font-family:A=
rial;
 font-size:63%'> </span></span></div>
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this
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Arial;
 mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman"'>XRD for
 Dummies: <br>
  </span></span><span style=3D'position:absolute;top:16.75%;left:3.93%;
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-family:
 Arial;mso-bidi-font-family:"Times New Roman"'>From Specimen to analyzed </=
span></span><span
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<span
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y:
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 <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=
><span
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nction</span></div>
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%;
 white-space:nowrap'>
 <div style=3D'position:absolute;top:0%;left:0%;width:94.63%;height:24.7%'>=
<span
 style=3D'font-family:Arial'>Mathematics is unavoidable when dealing with&#=
13;</span></div>
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7%'><span
 style=3D'font-family:Arial'>x-rays and crystallography, but modern
 analytical&#13;</span></div>
 <div style=3D'position:absolute;top:50.58%;left:0%;width:98.92%;height:24.=
7%'><span
 style=3D'font-family:Arial'>methods, software and computers can eliminate =
&#13;</span></div>
 <div style=3D'position:absolute;top:75.29%;left:0%;width:83.26%;height:24.=
7%'><span
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 <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:50.0%'>=
<span
 style=3D'font-family:Arial'>Avoid &#8220;Black Box&#8221; errors by
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0%'><span
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agg
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 mso-bidi-font-family:"Times New Roman"'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;
 </span>where n is an integer<br>
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7.42%;
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l;
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s New Roman";
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y:
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00.0%;
 height:24.7%'><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;
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 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;
 </span></span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;
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-family:
 Arial;mso-ascii-font-family:Arial;mso-bidi-font-family:"Times New Roman"'>=
 is
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