Title: A Resolution of Identity Technique to Speed up TDDFT with Hybrid Functionals: Implementation and Application to the Magic Cluster Series Au8n+4(SC6H5)4n+8 (n = 3–6)

Authors: Pierpaolo D’Antoni, Marco Medves, Daniele Toffoli, Alessandro Fortunelli, Mauro Stener, Lucas Visscher

DOI: 10.1021/acs.jpca.3c05368

Date: 2023-10-31

Working Group: WG3

Grant Period: GP2

Grant Period Goal (number): GPG6

Covered deliverables from the MoU (number): 1.2.1

Countries involved: Italy, Holland

Number of female/young/ITC coauthors: 0/2/0

Is the publication open access?: Yes

Is the publication co-lead by a YRI?: No

Abstract: The Resolution of Identity (RI) technique has been employed to speed up the use of hybrid exchange-correlation (xc) functionals at the TDDFT level using the Hybrid Diagonal Approximation. The RI has been implemented within the polTDDFT algorithm (a complex damped polarization method) in the AMS/ADF suite of programs. A speedup factor of 30 has been obtained with respect to a previous numerical implementation, albeit with the same level of accuracy. Comparison of TDDFT simulations with the experimental photoabsorption spectra of the cluster series Au8n+4(SR)4n+8(n = 3–6; R = C6H5) showed the excellent accuracy and efficiency of the method. Results were compared with those obtained via the more simplified and computationally cheaper TDDFT+TB and sTDDFT methods. The present method represents an accurate as well as computationally affordable approach to predict photoabsorption spectra of complex species, realizing an optimal compromise between accuracy and computational efficiency, and is suitable for applications to large metal clusters with sizes up to several hundreds of atoms.

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