PMID- 28049322 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20170425 LR - 20170425 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 145 IP - 24 DP - 2016 Dec 28 TI - Localized operator partitioning method for electronic excitation energies in the time-dependent density functional formalism. PG - 244111 LID - 10.1063/1.4972990 [doi] AB - We extend the localized operator partitioning method (LOPM) [J. Nagesh, A. F. Izmaylov, and P. Brumer, J. Chem. Phys. 142, 084114 (2015)] to the time-dependent density functional theory framework to partition molecular electronic energies of excited states in a rigorous manner. A molecular fragment is defined as a collection of atoms using Becke's atomic partitioning. A numerically efficient scheme for evaluating the fragment excitation energy is derived employing a resolution of the identity to preserve standard one- and two-electron integrals in the final expressions. The utility of this partitioning approach is demonstrated by examining several excited states of two bichromophoric compounds: 9-((1- naphthyl)- methyl)- anthracene and 4-((2- naphthyl)- methyl)- benzaldehyde. The LOPM is found to provide nontrivial insights into the nature of electronic energy localization that is not accessible using a simple density difference analysis. FAU - Nagesh, Jayashree AU - Nagesh J AD - Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 3H6, Canada. FAU - Frisch, Michael J AU - Frisch MJ AD - Gaussian, Inc., 340 Quinnipiac Street, Building 40, Wallingford, Connecticut 06492, USA. FAU - Brumer, Paul AU - Brumer P AD - Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 3H6, Canada. FAU - Izmaylov, Artur F AU - Izmaylov AF AD - Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 3H6, Canada. LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 EDAT- 2017/01/05 06:00 MHDA- 2017/01/05 06:01 CRDT- 2017/01/05 06:00 PHST- 2017/01/05 06:00 [entrez] PHST- 2017/01/05 06:00 [pubmed] PHST- 2017/01/05 06:01 [medline] AID - 10.1063/1.4972990 [doi] PST - ppublish SO - J Chem Phys. 2016 Dec 28;145(24):244111. doi: 10.1063/1.4972990.