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                <term xml:lang="it">cobaltate</term>
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              <p>We have performed nonresonant x-ray diffraction, resonant soft and hard x-ray magnetic diffraction, soft x-ray absorption, and x-ray magnetic circular dichroism measurements to clarify the electronic and magnetic states of the Co3+ ions in GdBaCo2O5.5. Our data are consistent with a Co&lt;sub&gt;Py&lt;/sub&gt;&lt;sup&gt;3+&lt;/sup&gt; high-spin (HS) state at the pyramidal sites and a Co&lt;sub&gt;Oc&lt;/sub&gt;&lt;sup&gt;3+&lt;/sup&gt; low-spin (LS) state at the octahedral sites. The structural distortion with a doubling of the a axis (2ap×2ap×2ap cell) shows alternating elongations and contractions of the pyramids, and indicates that the metal-insulator transition is associated with orbital order in the t2g orbitals of the Co&lt;sub&gt;Py&lt;/sub&gt;&lt;sup&gt;3+&lt;/sup&gt; HS state. This distortion corresponds to an alternating ordering of xz and yz orbitals along the a and c axes for the Co&lt;sub&gt;Py&lt;/sub&gt;&lt;sup&gt;3+&lt;/sup&gt;. The orbital ordering and pyramidal distortion lead to deformation of the octahedra but the Co&lt;sub&gt;Oc&lt;/sub&gt;&lt;sup&gt;3+&lt;/sup&gt; LS state does not allow an orbital order to occur for the Co&lt;sub&gt;Oc&lt;/sub&gt;&lt;sup&gt;3+&lt;/sup&gt; ions. The soft x-ray magnetic diffraction results indicate that the magnetic moments are aligned in the ab plane but are not parallel to the crystallographic a or b axes. The orbital order and the doubling of the magnetic unit cell along the c axis support a noncollinear magnetic structure. The x-ray magnetic circular dichroism data indicate that there is a large orbital magnetic contribution to the total ordered Co moment.</p>
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