Dumont EEGill PMWCrittenden, Deborah2023-03-232023-03-232007Crittenden DL, Dumont EE, Gill PMW (2007). Intracule Functional Models II. Analytically integrable kernels. Journal of Chemical Physics. 127(14). 141103-.0021-96061089-7690https://hdl.handle.net/10092/105283We present, within the framework of intracule functional theory (IFT), a class of kernels whose correlation integrals can be found in closed form. This approach affords three major advantages over other kernels that we have considered previously; ease of implementation, computational efficiency, and numerical stability. We show that even the simplest member of the class yields reasonable estimates of the correlation energies of 18 atomic and 56 molecular systems and we conclude that this kernel class will prove useful in the development of future IFT models. © 2007 American Institute of Physics.enAll rights reserved unless otherwise statedIntracule Functional Models II. Analytically integrable kernelsJournal Article2023-02-1302 Physical Sciences03 Chemical Sciences09 EngineeringFields of Research::34 - Chemical sciences::3407 - Theoretical and computational chemistry::340701 - Computational chemistryFields of Research::34 - Chemical sciences::3407 - Theoretical and computational chemistry::340704 - Theoretical quantum chemistryhttp://doi.org/10.1063/1.2795694