PMID- 37870767 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20231108 IS - 1520-6890 (Electronic) IS - 0009-2665 (Linking) VI - 123 IP - 21 DP - 2023 Nov 8 TI - Orbital-Free Density Functional Theory: An Attractive Electronic Structure Method for Large-Scale First-Principles Simulations. PG - 12039-12104 LID - 10.1021/acs.chemrev.2c00758 [doi] AB - Kohn-Sham Density Functional Theory (KSDFT) is the most widely used electronic structure method in chemistry, physics, and materials science, with thousands of calculations cited annually. This ubiquity is rooted in the favorable accuracy vs cost balance of KSDFT. Nonetheless, the ambitions and expectations of researchers for use of KSDFT in predictive simulations of large, complicated molecular systems are confronted with an intrinsic computational cost-scaling challenge. Particularly evident in the context of first-principles molecular dynamics, the challenge is the high cost-scaling associated with the computation of the Kohn-Sham orbitals. Orbital-free DFT (OFDFT), as the name suggests, circumvents entirely the explicit use of those orbitals. Without them, the structural and algorithmic complexity of KSDFT simplifies dramatically and near-linear scaling with system size irrespective of system state is achievable. Thus, much larger system sizes and longer simulation time scales (compared to conventional KSDFT) become accessible; hence, new chemical phenomena and new materials can be explored. In this review, we introduce the historical contexts of OFDFT, its theoretical basis, and the challenge of realizing its promise via approximate kinetic energy density functionals (KEDFs). We review recent progress on that challenge for an array of KEDFs, such as one-point, two-point, and machine-learnt, as well as some less explored forms. We emphasize use of exact constraints and the inevitability of design choices. Then, we survey the associated numerical techniques and implemented algorithms specific to OFDFT. We conclude with an illustrative sample of applications to showcase the power of OFDFT in materials science, chemistry, and physics. FAU - Mi, Wenhui AU - Mi W AUID- ORCID: 0000-0002-1612-5292 AD - Key Laboratory of Material Simulation Methods & Software of Ministry of Education, College of Physics, Jilin University, Changchun 130012, PR China. AD - State Key Laboratory of Superhard Materials, Jilin University, Changchun 130012, PR China. AD - International Center of Future Science, Jilin University, Changchun 130012, PR China. FAU - Luo, Kai AU - Luo K AD - Department of Applied Physics, Nanjing University of Science and Technology, Nanjing 210094, PR China. FAU - Trickey, S B AU - Trickey SB AUID- ORCID: 0000-0001-9224-6304 AD - Quantum Theory Project, Department of Physics and Department of Chemistry, University of Florida, Gainesville, Florida 32611, United States. FAU - Pavanello, Michele AU - Pavanello M AUID- ORCID: 0000-0001-8294-7481 AD - Department of Physics and Department of Chemistry, Rutgers University, Newark, New Jersey 07102, United States. LA - eng PT - Journal Article PT - Review DEP - 20231023 PL - United States TA - Chem Rev JT - Chemical reviews JID - 2985134R SB - IM EDAT- 2023/10/23 12:43 MHDA- 2023/10/23 12:44 CRDT- 2023/10/23 11:14 PHST- 2023/10/23 12:44 [medline] PHST- 2023/10/23 12:43 [pubmed] PHST- 2023/10/23 11:14 [entrez] AID - 10.1021/acs.chemrev.2c00758 [doi] PST - ppublish SO - Chem Rev. 2023 Nov 8;123(21):12039-12104. doi: 10.1021/acs.chemrev.2c00758. Epub 2023 Oct 23.