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Perfect Localised Basis Functions for Solids: Chemical Pseudopotentials and the Kronig-Penney Model W.M.C. Foulkes Blackett Laboratory Imperial College of Science, Technology and Medicine London SW7 2BZ D.M. Edwards Department of Mathematics Imperial College of Science, Technology and Medicine London SW7 2BZ September 18, 2012 Short title: Perfect Localised Basis Functions for Solids PACS numbers: 71.10.+x, 71.25.Cx, 71.20.-b 1

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