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The resulting method achieves orders-of-magnitude speedups for prototypical solid-state systems compared to a closely related approach, the range-separated density fitting method. Using the dispersion-corrected PBE functional with all-electron Dunning and Karlsruhe basis sets, we apply our method to compute the cohesive energy of the benzene crystal and the adsorption energy of CO on the MgO(001) surface. These results are in good agreement with existing literature. Our approach enables efficient Gaussian-based semi-local density functional calculations using dense k-point meshes and traditional molecular Gaussian basis sets.<\/jats:p>","DOI":"10.1063\/5.0303084","type":"journal-article","created":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T12:20:16Z","timestamp":1770380416000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Efficient all-electron periodic Fourier-transformed Coulomb method"],"prefix":"10.1063","volume":"164","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1216-1234","authenticated-orcid":false,"given":"Hieu Q.","family":"Dinh","sequence":"first","affiliation":[{"name":"Department of Chemistry and Chemical Biology, Harvard University 1 , Cambridge, Massachusetts 02138,","place":["USA"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6528-9576","authenticated-orcid":false,"given":"Adam","family":"Rettig","sequence":"additional","affiliation":[{"name":"Department of Chemistry and Chemical Biology, Harvard University 1 , Cambridge, Massachusetts 02138,","place":["USA"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4487-233X","authenticated-orcid":false,"given":"Xintian","family":"Feng","sequence":"additional","affiliation":[{"name":"Q-Chem, Inc. 2 , 6601 Owens Drive, Suite 240, Pleasanton, California 94588,","place":["USA"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9667-1081","authenticated-orcid":false,"given":"Joonho","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Chemistry and Chemical Biology, Harvard University 1 , Cambridge, Massachusetts 02138,","place":["USA"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2026,2,6]]},"reference":[{"key":"2026020607201443400_c1","volume-title":"Density-Functional Theory of Atoms and Molecules","year":"1995"},{"key":"2026020607201443400_c2","first-page":"1","article-title":"Linear-scaling methods in quantum chemistry","volume-title":"Reviews in Computational Chemistry","year":"2007"},{"key":"2026020607201443400_c3","doi-asserted-by":"publisher","first-page":"204101","DOI":"10.1063\/1.4830405","article-title":"Comparison between Gaussian-type orbitals and plane wave ab\u00a0initio density functional theory modeling of layer silicates: Talc [Mg3Si4O10(OH)2] as model system","volume":"139","year":"2013","journal-title":"J.\u00a0Chem. 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