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X-ray dichroism implies excitations from inner shells, which are filled in the ground state and can therefore be “integrated out.” As a result, one-electron properties of valence states are probed in the x-ray region
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X-ray dichroism implies excitations from inner shells, which are filled in the ground state and can therefore be “integrated out.” As a result, one-electron properties of valence states are probed in the x-ray region.
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8
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0000982888
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85038945956
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D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, (World Scientific, Singapore, 1988)
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D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
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14
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85038969012
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Integration is over a finite-energy interval, which corresponds to the two partners of a spin-orbit split inner shell
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Integration is over a finite-energy interval, which corresponds to the two partners of a spin-orbit split inner shell.
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15
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85038942378
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The relation (formula presented) holds for (formula presented) In general, and (formula presented) must be of opposite parities. As pointed out by C. Brouder (private communication), the values (formula presented) and (formula presented) are permitted in the matrix element (formula presented) for (formula presented) A re-definition of (formula presented) to include (formula presented) hybridization is required in this case
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The relation (formula presented) holds for (formula presented) In general, l and (formula presented) must be of opposite parities. As pointed out by C. Brouder (private communication), the values (formula presented) and (formula presented) are permitted in the matrix element (formula presented) for (formula presented) A re-definition of (formula presented) to include (formula presented) hybridization is required in this case.
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16
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85038920071
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Sum rules for pure (formula presented) or (formula presented) transitions were derived by representing valence-electron states within an (formula presented) basis. In this case, the pertinent order parameters are derived from the generators of rotation groups: the components of spin and orbital angular momentum. Such a formulation can be extended to include parity-conserving hybridization; for example, it can be shown that pure (formula presented) linear dichroism mixes (formula presented) and (formula presented) Discussion of these effects is beyond the scope of the current paper
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Sum rules for pure (formula presented) or (formula presented) transitions were derived by representing valence-electron states within an (formula presented) basis. In this case, the pertinent order parameters are derived from the generators of rotation groups: the components of spin and orbital angular momentum. Such a formulation can be extended to include parity-conserving hybridization; for example, it can be shown that pure (formula presented) linear dichroism mixes (formula presented) and (formula presented) Discussion of these effects is beyond the scope of the current paper.
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17
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85038913233
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Eq. (5), the radial integrals are defined by (formula presented)where (formula presented) and (formula presented) denote inner-shell and valence radial wave functions, respectively. Our derivation neglects relativistic corrections to the radial part of the atomic wave functions
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In Eq. (5), the radial integrals are defined by (formula presented)where (formula presented) and (formula presented) denote inner-shell and valence radial wave functions, respectively. Our derivation neglects relativistic corrections to the radial part of the atomic wave functions.
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18
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85038964554
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It is the magnetic field of the so-called, a standard technique for creating a single magnetoelectric domain in the crystal
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It is the magnetic field of the so-called magnetoelectric annealing, a standard technique for creating a single magnetoelectric domain in the crystal.
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21
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33646316918
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Notice that (formula presented) in Ref., and (formula presented) in Ref., As shown by the phase diagram of, and, the two substitutions are equivalent
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Notice that (formula presented) in Ref. 19 and (formula presented) in Ref. 10. As shown by the phase diagram of D B. McWhan and J P. Remeika [Phys. Rev. B2, 3734 (1970)], the two substitutions are equivalent.
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McWhan, D.B.1
Remeika, J.P.2
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23
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0000372403
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M. Yethiraj, S A. Werner, W B. Yelon, and J M. Honig, Phys. Rev. B36, 8675 (1987).
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25
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85038913790
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These two ME point groups are subgroups of (formula presented) in international notation they are denoted by (formula presented) and (formula presented) respectively
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These two ME point groups are subgroups of (formula presented) in international notation they are denoted by (formula presented) and (formula presented) respectively.
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26
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85038930119
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The method is expounded in L. D. Barron, (Cambridge University Press, Cambridge, England, 1982), Chap. 2
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The method is expounded in L. D. Barron, Molecular Light Scattering and Optical Activity (Cambridge University Press, Cambridge, England, 1982), Chap. 2.
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29
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85038890424
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in, edited by F. Bloch, S. G. Cohen, A. De-Shalit, and S. Sambursky (North-Holland, Amsterdam, 1968)
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in Spectroscopic and Group Theoretical Methods in Physics—Racah Memorial Volume, edited by F. Bloch, S. G. Cohen, A. De-Shalit, and S. Sambursky (North-Holland, Amsterdam, 1968).
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85038957433
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Y. Dothan and Y. Ne’eman, reprinted in F. J. Dyson, (Benjamin, New York, 1966)
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Y. Dothan and Y. Ne’eman, Band Spectra Generated By Non-Compact Algebra, reprinted in F. J. Dyson, Symmetry Groups in Nuclear and Particle Physics—A Lecture-Note and Reprint Volume (Benjamin, New York, 1966).
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M. J. Englefield, (Wiley-Interscience, New York, 1972)
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Zh. Eksp. Teor. Fiz., 1531 (1957)
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Ya. B. Zel’dovich, Zh. Eksp. Teor. Fiz. 33, 1531 (1957) [Sov. Phys. JETP6, 1184 (1958)].
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