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Acknowledgements
This work was financially supported by a Grant-in-Aid for Scientific Research (A) (No. 15H02185 (TH)), Grantin-Aid for Young Scientists (B) (No. 17K14502 (TS)) and Grant-in-Aid for Early-Career Scientists (No. 19K15602
(NS)) from the Japan Society for the Promotion of Science (JSPS), for which we are thankful.
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Author contributions
N.S. and M.F. designed the research and performed all the experiments. K.E. supervised the XRD measurements.
T.S. provided his constructive advice on the study. T.H. directed the research. The paper is written by N.S. and
T.H., and all authors commented on the paper.
Competing interests The authors declare no competing interests.
Additional information
Supplementary Information The online version contains supplementary material available at https://doi.org/
10.1038/s41598-022-08505-5.
Correspondence and requests for materials should be addressed to N.S. or T.H.
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