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Atomic conguration of quartz. Left quartz is shown in left
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and oxygen atoms are shown by blue spheres and red ones,
respectively. The unit cell along the c axis is from plane 0 toplane 3. An orange screw line in each panel illustrates a traceof the electric eld of circularly polarized x­rays for an
instant. The left (right) circularly polarized x­ray is shown in
the right (left) panel. In reality, the x­ray beam for dirac­tion is not parallel to the c­axis.

úËõ Sept. 2009 Vol.22 No.5  241(C) 2009 The Japanese Society for Synchrotron Radiation Researché½Ë001Æ»Ì
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Stereograph of the reciprocal lattice of P3121 along the cÞ
axis. The a and b axes represents the direct lattice vectors andthe aÞand bÞaxes represents the reciprocal lattice vectors.
Green lines show the unit cell. Red lines are explained in the
text. The positive direction of the c axis is pointing upwards.
The diameter of each point illustrates the intensity of Lauephotograph along the c axis.

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Fig. 3

Schematic view of soft x­ray diractometer installed at beamline 17SU.

Fig. 5Intensity of reection 001 of right and left quartz as a func­tion of azimuth angle C. Closed and open circles represent
the intensity of reection 001 of right quartz measured withleft and right circularly polarized x­rays, respectively. Closed
and open triangles represent the intensity of reection 001 ofleft quartz measured with left and right circularly polarized
x­rays, respectively. Inset shows the geometrical congura­tion. The propagation vectors of incident and reected beam
|k and is parallel
are k and k
. The scattering vector is Kk
to the c axis.

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Absorption spectrum of quartz and intensity of reection
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1)
2)

úËõ Sept. 2009 Vol.22 No.5  247

 ÒÐî cÇa»w¤úËõ»w¤Z
^[ãN¤`[ ¤õE­mail: ytanakariken.jpêåFX üñÜ
mªðn
1990NåwHwnåw@à®HwÈmÛöC¹CHwmB¯N»w¤å^úËõ{ÝÝ{¤¦ÍõC1992N»w¤¤õB2007
Næè»EB

Ashish Chainanihûåw¨«¤É³ö»w¤d¤úËõÈw¤Z^[ãN¤`[É`[[_[E­mail: shinissp.u­tokyo.ac.jp
êåFõ¨«Cî X üªõwmªðn
1983Nåww¨wÈmÛöÞwCwmCkåwÈwvª¤èC1989N¯³öC1991N
åw¨«¤³öC2001N¯³
öE­mail: chainanispring8.or.jp
Research theme: Relation of crystal
structure and electronic structure on
properties of materials.
mªðn
A. Chainani completed his Ph.D. in 1993
from the Solid State and Structural Che­
mistry Unit of the Indian Institute of
Science, Bangalore, India. He was a
JSPS post­doctoral fellow at the Depart­
ment of Physics from 1994_1996. Subse­
quently he worked as a Faculty member
at the Institute of Plasma Research, Gan­dhinagar, India from 1996 to 2003. From
2003, he is a Senior Research Scientist at
RIKEN Harima Institute, Hyogo, Japan.

Circularly polarized x­rays probe crystal chirality
Yoshikazu TANAKA
Ashish CHAINANI
Shik SHINRIKEN SPring­8 Center, Sayo, Hyogo 679_5148
RIKEN SPring­8 Center, Sayo, Hyogo 679_5148
RIKEN SPring­8 Center, Sayo, Hyogo 679_5148

Abstract Enantiomers in many proteins, sugars and pharmaceuticals crystallize into two forms that are mir­ror images of each other like our right and left hands. X­rays, which are normally useful in determining thestructure of materials and biomolecules, are much less sensitive to the `handedness' of an enantiomer. We
have shown that right and left circularly polarised (RCP and LCP) X­rays at the resonant energy can distin­
guish `left' from `right' low­quartz, whose crystal structures are mirror images of each other.

248  úËõ Sept. 2009 Vol.22 No.5