A Linear-Scaling Integral-Direct Explicitly Correlated Second-Order Møller–Plesset Approach
Mihály Kállay, Péter R. Nagy, Bence Ladóczki, Dávid Mester

TL;DR
This paper introduces a new method for calculating electron correlations in large molecules efficiently, enabling accurate results for systems with hundreds of atoms.
Contribution
A linear-scaling, integral-direct, local MP2-F12 approach that enables explicitly correlated calculations for large systems.
Findings
The method recovers at least 99.9% of the canonical MP2-F12 correlation energy.
Reaction energies have a mean error of less than 1 kJ/mol.
The approach successfully computed a system with 644 atoms, the largest for explicitly correlated calculations.
Abstract
We present an integral-direct, iteration-free, linear-scaling, local explicitly correlated second-order Møller–Plesset (MP2-F12) approach, extending our previous local MP2 method [J. Chem. Theory Comput. 2016, 12, 4897]. The correlation contributions for individual electron pairs are computed within domains defined by the corresponding localized orbitals, while the correlation energies of spatially distant electron pairs are determined via multipole expansions. All the various types of integrals are computed and transformed directly, thereby precluding the need for integral storage and yielding asymptotically constant memory as well as negligible disk I/O demand. Another competitive advantage is the implementation of the 2B MP2-F12 ansatz, the most complete one so far with local approximations, enabling excellent basis set convergence even with double-ζ basis sets. Our validation…
Genes, proteins, chemicals, diseases, species, mutations and cell lines named across the full text — each resolved to its canonical identifier and authoritative record.
Click any figure to enlarge with its caption.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Figure 19
Figure 20
Figure 21
Figure 22
Figure 23
Figure 24
Figure 25
Figure 26
Figure 27
Figure 28
Figure 29
Figure 30
Figure 31
Figure 32
Figure 33
Figure 34
Figure 35
Figure 36
Figure 37
Figure 38
Figure 39
Figure 40
Figure 41
Figure 42
Figure 43
Figure 44
Figure 45
Figure 46
Figure 47
Figure 48
Figure 49
Figure 50Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Chemical Physics Studies · Molecular spectroscopy and chirality · Protein Structure and Dynamics
