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(a) Band structure of K 8 Al 8 Si 38 with Al on five 6c sites, two 24k sites, and one 16i site (5c2k1i configurations), for samples A (black), B (red), and C (blue), calculated using DFT-PBE. (b) Band structure of K 8 Al 8 Si 38 with Al on six 6c sites, two 16i sites (6c2i configurations) for samples D (black), E (red), and F (blue), calculated using DFT. (c) Band structure of K 8 Al 8 Si 38 (sample A) calculated using DFT-PBE (black) and many body perturbation theory within the G 0 W 0 approximation (red), respectively. Reproduced with permission from He et al., Energy Environ. Sci. 7, 2598 (2014). Copyright 2014 Royal Society of Chemistry.

(a) Band structure of K 8 Al 8 Si 38 with Al on five 6c sites, two 24k sites, and one 16i site (5c2k1i configurations), for samples A (black), B (red), and C (blue), calculated using DFT-PBE. (b) Band structure of K 8 Al 8 Si 38 with Al on six 6c sites, two 16i sites (6c2i configurations) for samples D (black), E (red), and F (blue), calculated using DFT. (c) Band structure of K 8 Al 8 Si 38 (sample A) calculated using DFT-PBE (black) and many body perturbation theory within the G 0 W 0 approximation (red), respectively. Reproduced with permission from He et al., Energy Environ. Sci. 7, 2598 (2014). Copyright 2014 Royal Society of Chemistry.

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Silicon exhibits a large variety of different bulk phases, allotropes and composite structures, such as e. g. clathrates or nanostructures, at both higher and lower densities compared to diamond-like Si-I. New Si structures continue to be discovered. These novel forms of Si offer exciting prospects to create Si based materials, that are non-toxic a...

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... in the real material. Most calculations were con- ducted at the DFT level and one sample (A) was carefully analyzed using many body perturbation theory (MBPT) at the G 0 W 0 level. 34 The position of Al significantly influences the position of the valence bands, while the conduction bands (CBs) are largely unaffected (see Figs. 3(a) and 3(b)). Fig. 3(c) shows the G 0 W 0 corrected band structure of sample A with respect to that obtained at the DFT-PBE level. We found a rigid shift of the uppermost valence band (VB) to lower energy (0.04 eV) and of the lowest conduction band (CB) to higher energy (0.21 eV), yielding a band gap (0.81 eV) increase of approximately 45% with respect to ...
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... of the VBM and CBM of the Si 123 NP embedded in the a-ZnS, as a function of the radial distance from the NP center. The CBM outside the NP is clearly higher than its value inside the NP, by about 0.3 eV. Moreover, the VBM outside the NP is higher than inside by about 0.15 eV. The same type-II offsets were obtained with G 0 W 0 calculations, see Fig. 13(b). We note that the transition between the bands is sharp and well defined for the conduction band, whereas it is more gradual for the valence band. This gradual increase can be attributed to the electronic states of the sulfur shell. The states induced by the sulfur shell are almost energetically degenerate with the VBM states of the ...
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... states induced by the sulfur shell are almost energetically degenerate with the VBM states of the ZnS matrix. Thus, the occupied states of the Si NP are located slightly below the ZnS valence band edge. We verified this interpretation in a graphical manner, plotting the square moduli of the individual wave functions (not shown). The results of Fig. 13 confirm those of Fig. 12, showing that a type-II interface is formed between the Si NPs and the a-ZnS ...

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