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. 2017 Oct 30;7:14386. doi: 10.1038/s41598-017-14435-4

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Comparison between calculated band structure of CH₃NH₃PbI₃ with (a) DFT (LDA) and (b) DFT-1/2 (LDA-1/2) for a pseudo-cubic structure with and without SOC. The highest-lying valence and lowest-lying conduction bands are highlighted as thick solid lines. The energy zero is set in both cases at the highest occupied state. DFT-LDA-optimized lattice parameters (8.542, 8.555, and 12.596) were used.