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20144367272
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note
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20 cage in which case the values are as follows: for 1s cage state 0.858 e from 3s and 0.042 e from 3p; for 2s cage state 0.048 e from 3s and 0.459 e from 3p, and for the 1d cage state 4.206 e from 3s and 0.546 e from 3p orbitals of silicon. Similar analysis has been done for the HOMO and the LUMO 1f states. The HOMO 1f state is not much affected by the Th doping. As discussed in the text the LUMO has stronger interaction with 5f orbital of Th atom. The contributions to the 1f LUMO states come from 3s (0.02 e), 3p (1 e) atomic orbitals of Si and 5f s1.324 ed atomic orbitals of Th.
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34
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20144379721
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note
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h symmetry which is kept fixed for the empty cage. This leads to some asymmetry in the charge density distribution as it is seen from the 2d state shown in Fig. 4(d). Since the charge density is plotted only from one orbital, the overall density is small and therefore the asymmetry in the isosurface is reflected.
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35
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20144382808
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unpublished
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B) the dodecahedron is distorted and the embedding energies are also significantly reduced. See V. Kumar, A. K. Singh, and Y. Kawazoe (unpublished).
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Kumar, V.1
Singh, A.K.2
Kawazoe, Y.3
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