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<div class=3DSection1>

<p align=3Dcenter style=3D'text-align:center'><i><span style=3D'font-size:2=
6.0pt'>OBSERVING
ORBITALS<o:p></o:p></span></i></p>

<p class=3DMsoNormal><b>The first pictures of atomic <span class=3DSpellE>o=
rbitals</span>
are confirming theories and resolving controversies</b> </p>

<p class=3DMsoNormal>By&nbsp;Kristin <span class=3DSpellE>Leutwyler</span> =
</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dright style=3D'text-align:right'>&nbsp;</p>

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  column;mso-element-left:right;mso-element-top:middle;mso-height-rule:exac=
tly'>Image:
  <st1:place w:st=3D"on"><st1:PlaceName w:st=3D"on">ARIZONA</st1:PlaceName>=
 <st1:PlaceType
   w:st=3D"on">STATE</st1:PlaceType> <st1:PlaceType w:st=3D"on">UNIVERSITY<=
/st1:PlaceType></st1:place></p>
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2.25pt;
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tly'><o:p>&nbsp;</o:p></p>
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2.25pt;
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-anchor-horizontal:
  column;mso-element-left:right;mso-element-top:middle;mso-height-rule:exac=
tly'><b>CHARGE
  DENSITY MAP</b> of <span class=3DSpellE>cuprite</span> suggests unexpected
  covalent and metal-to-metal bonds.</p>
  </td>
 </tr>
</table>

<p>Electrons are wily particles that, according to the laws of quantum
mechanics, just can't be pinned down. So scientists describe their position=
s in
terms of <span class=3DSpellE>orbitals</span>--essentially regions in which
electrons are most likely to be found as they whiz around atomic nuclei. The
idea of <span class=3DSpellE>orbitals</span> has long proved useful for
describing atoms and their interactions mathematically, but not physically.=
 </p>

<p>Now, that's all changed. Researchers at <st1:place w:st=3D"on"><st1:Plac=
eName
 w:st=3D"on">Arizona</st1:PlaceName> <st1:PlaceType w:st=3D"on">State</st1:=
PlaceType>
 <st1:PlaceType w:st=3D"on">University</st1:PlaceType></st1:place> recently
published in <i>Nature</i> the first true images of atomic <span class=3DSp=
ellE>orbitals</span>
in Cu<sub>2</sub>O, a crystal called <span class=3DSpellE>cuprite</span>. S=
aid
lead author J.M. <span class=3DSpellE>Zuo</span>: &quot;It's direct, experi=
mental
proof of the quantum model.&quot; </p>

<p>The pictures, taken using a novel technique by <span class=3DSpellE>Zuo<=
/span>,
M. Kim and John Spence in the Department of Physics and Astronomy and chemi=
st
Michael O'Keefe, confirm that <span class=3DSpellE>orbitals</span> are inde=
ed
shaped like spheres, dumbbells, petals and doughnuts--depending on the ener=
gy
and other properties of the electrons inhabiting them and interacting with
them. </p>

<p>Moreover, the images also resolve a controversy about the types of bonds
between copper and oxygen in certain crystals--collectively called copper
oxides--that conduct electricity without resistance at high temperatures.
&quot;Understanding bonding in copper oxides is the key to solving the bigg=
est
unsolved problem in solid state theory--the nature of high temperature
superconductivity in copper oxides,&quot; <span class=3DSpellE>Zuo</span> n=
oted.
Such superconductors are thought to hold great promise for future technolog=
ies
because of their unusual properties. </p>

<p>In fact, there are three fundamental types of bonds that hold all of mat=
ter
together: metal-to-metal bonds are created when the outer electrons of indi=
vidual
atoms merely intermingle; covalent bonds occur when two atoms share pairs of
electrons between them; and ionic bonds form when one atom gives an electro=
n to
a neighboring atom. Colin Humphries of <st1:place w:st=3D"on"><st1:PlaceName
 w:st=3D"on">Cambridge</st1:PlaceName> <st1:PlaceType w:st=3D"on">Universit=
y</st1:PlaceType></st1:place>
suggested in the 1970s that covalent bonds might exist between copper atoms=
 in
copper oxides, but without experimental proof, the prevailing theory held t=
hat
only metal-to-metal bonds were possible. </p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><!--[if gte=
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00_i1027"><![endif]></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Image: <st1=
:place
w:st=3D"on"><st1:PlaceName w:st=3D"on">ARIZONA</st1:PlaceName> <st1:PlaceTy=
pe
 w:st=3D"on">STATE</st1:PlaceType> <st1:PlaceType w:st=3D"on">UNIVERSITY</s=
t1:PlaceType></st1:place></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b>S-D<sub>=
z</sub><sup>2</sup></b>,
an orbital hybridization predicted to look like a dumbbell, surrounded by a=
<br>
doughnut and petals, shows up as exactly that in the first-ever images of <=
span
class=3DSpellE>orbitals</span>.</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p>The new pictures, however, showed Humphries right. These charge density =
maps
of non-ionic bonds in <span class=3DSpellE>cuprite</span> reveal a dumbbell=
, with
a doughnut and three petals around its middle, where a copper ion resides--a
configuration predicted for <span class=3DGramE>a</span> s-d<sub>z</sub><su=
p>2</sup>
orbital hybridization. Covalent bonding appears between copper and oxygen <=
i>and</i>
copper and copper. And fainter distributions of electrons floating loosely
between copper atoms are suggestive of metal-to-metal bonds. &quot;The evid=
ence
of covalent bonding between metals is likely to make them rewrite the chemi=
stry
textbooks,&quot; Spence commented. &quot;Chemistry has always assumed that
these are only possible between copper and oxygen in this material.&quot; <=
/p>

<p>The team made their images at the Center for High Resolution Electron
Microscopy, bombarding <span class=3DSpellE>cuprite</span> crystals with bo=
th
electron and X-ray beams. The electron beam bounced off mostly electronic b=
onds
in the material, whereas the X-rays rebounded from the nuclei. As the retur=
ning
beams interacted with one another, they created a diffraction pattern telli=
ng of
what they had just hit, which the researchers used to generate an image muc=
h in
the same way as interfering light patterns are used to create photographs a=
nd
holograms. </p>

<p><span style=3D'font-size:14.0pt'><o:p>&nbsp;</o:p></span></p>

<p style=3D'text-indent:.5in'><o:p>&nbsp;</o:p></p>

<p style=3D'text-indent:.5in'>To make this method work, <span class=3DSpell=
E>Zuo</span>
and company had to measure the angles at which the beams scattered from the
crystal with a higher degree of precision than had been done before. They
relied on the electron beam to measure small angles, which it did more
accurately by avoiding the &quot;extinction effect&quot; that distorts X-ray
images. In contrast, the X-ray beam was better at measuring larger angles. =
And
the combination of the two made it possible to flesh out the fine details of
the crystal structure. To make a sharp picture of the covalent bonds between
copper and oxygen, the group manipulated the charge density map by first mo=
ving
all ions to the back of the map and then subtracting the background. </p>

<table class=3DMsoNormalTable border=3D0 cellspacing=3D4 cellpadding=3D0 al=
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 column;mso-table-left:right;mso-table-top:middle;mso-padding-alt:3.0pt 3.0=
pt 3.0pt 3.0pt'>
 <tr style=3D'mso-yfti-irow:0;mso-yfti-firstrow:yes'>
  <td style=3D'padding:3.0pt 3.0pt 3.0pt 3.0pt'>
  <p class=3DMsoNormal style=3D'mso-element:frame;mso-element-frame-hspace:=
2.25pt;
  mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element=
-anchor-horizontal:
  column;mso-element-left:right;mso-element-top:middle;mso-height-rule:exac=
tly'><!--[if gte vml 1]><v:shape
   id=3D"_x0000_i1026" type=3D"#_x0000_t75" alt=3D"Cuprite cystals" style=
=3D'width:105pt;
   height:94.5pt'>
   <v:imagedata src=3D"OBSERVINGORBITALS_files/image003.gif" o:href=3D"http=
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"/>
  </v:shape><![endif]--><![if !vml]><img width=3D140 height=3D126
  src=3D"OBSERVINGORBITALS_files/image003.gif" alt=3D"Cuprite cystals" v:sh=
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  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:1;mso-yfti-lastrow:yes'>
  <td style=3D'padding:3.0pt 3.0pt 3.0pt 3.0pt'>
  <p class=3DMsoNormal style=3D'mso-element:frame;mso-element-frame-hspace:=
2.25pt;
  mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element=
-anchor-horizontal:
  column;mso-element-left:right;mso-element-top:middle;mso-height-rule:exac=
tly'><b>CUPRITE</b>--
  a crystal of copper and oxygen atoms-- gave researchers their first glimp=
se
  at electron <span class=3DSpellE>orbitals</span>.</p>
  </td>
 </tr>
</table>

<p>Some scientists who are analyzing the pictures have slightly different
interpretations. For instance, Ronald Hoffmann, the Cornell chemist awarded=
 a
Nobel <span class=3DGramE>prize</span> in 1981, is skeptical about covalent=
 bonds
between copper atoms, believing them to be too far apart. But everyone is
convinced of the technique the <st1:State w:st=3D"on"><st1:place w:st=3D"on=
">Arizona</st1:place></st1:State>
researchers developed. Putting ultimate decisions about cuprite's bonds asi=
de,
combining convergent beams of electron beam diffraction and X-ray beam
diffraction should help researchers better understand a variety of complex
materials in the years to come. </p>

<p class=3DMsoNormal><br clear=3Dall style=3D'mso-special-character:line-br=
eak'>
</p>

<p class=3DMsoNormal><br style=3D'mso-special-character:line-break'>
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<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

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