A diagrammatic approach for automatically deriving analytical gradients of tensor hyper-contracted electronic structure methods

2021 ◽  
Vol 155 (2) ◽  
pp. 024108
Author(s):  
Chenchen Song ◽  
Todd J. Martínez ◽  
Jeffrey B. Neaton
Keyword(s):  
Electronic Structure ◽  
Electronic Structure Methods ◽  
Analytical Gradients

An Automatic Differentiation and Diagrammatic Notation Approach for Developing Analytical Gradients of Tensor Hyper-Contracted Electronic Structure Methods

2020 ◽  
Author(s):  
Chenchen Song ◽  
Todd J. Martínez ◽  
Jeffrey B. Neaton
Keyword(s):  
Perturbation Theory ◽  
Electronic Structure ◽  
Automatic Differentiation ◽  
Nonadiabatic Coupling ◽  
New Approach ◽  
Future Developments ◽  
Memory Footprint ◽  
Electronic Structure Methods ◽  
Tensor Contraction ◽  
Analytical Gradients

We show how the combination of automatic differentiation (AD) and diagrammatic notation can facilitate the development of analytical nuclear derivatives for tensor hyper-contraction based (THC) electronic structure methods. The automatically-derived gradients are guaranteed to have the same scaling in terms of both operation count and memory footprint as the underlying energy calculations, and the computation of a gradient is roughly three times as costly as the underlying energy. The new AD/diagrammatic approach enables the first cubic scaling implementation of nuclear derivatives for THC tensors fitted in molecular orbital basis (MO-THC). Furthermore, application of this new approach to THC-MP2 analytical gradients leads to an implementation which is at least four times faster than the previously reported, manually-derived implementation. Finally, we apply the new approach to the 14 tensor contraction patterns appearing in the supporting subspace formulation of multireference perturbation theory, laying the foundation for future developments of analytical nuclear gradients and nonadiabatic coupling vectors for multi-state CASPT2. <br>

An Automatic Differentiation and Diagrammatic Notation Approach for Developing Analytical Gradients of Tensor Hyper-Contracted Electronic Structure Methods

2020 ◽  
Author(s):  
Chenchen Song ◽  
Todd J. Martínez ◽  
Jeffrey B. Neaton
Keyword(s):  
Perturbation Theory ◽  
Electronic Structure ◽  
Automatic Differentiation ◽  
Nonadiabatic Coupling ◽  
New Approach ◽  
Future Developments ◽  
Memory Footprint ◽  
Electronic Structure Methods ◽  
Tensor Contraction ◽  
Analytical Gradients

We show how the combination of automatic differentiation (AD) and diagrammatic notation can facilitate the development of analytical nuclear derivatives for tensor hyper-contraction based (THC) electronic structure methods. The automatically-derived gradients are guaranteed to have the same scaling in terms of both operation count and memory footprint as the underlying energy calculations, and the computation of a gradient is roughly three times as costly as the underlying energy. The new AD/diagrammatic approach enables the first cubic scaling implementation of nuclear derivatives for THC tensors fitted in molecular orbital basis (MO-THC). Furthermore, application of this new approach to THC-MP2 analytical gradients leads to an implementation which is at least four times faster than the previously reported, manually-derived implementation. Finally, we apply the new approach to the 14 tensor contraction patterns appearing in the supporting subspace formulation of multireference perturbation theory, laying the foundation for future developments of analytical nuclear gradients and nonadiabatic coupling vectors for multi-state CASPT2. <br>

Performance of Electronic Structure Methods for the Description of Hückel-Möbius Interconversions in Extended π-Systems

2019 ◽  
Author(s):  
Tatiana Woller ◽  
Ambar Banerjee ◽  
Nitai Sylvetsky ◽  
Xavier Deraet ◽  
Frank De Proft ◽  
...  
Keyword(s):  
Electronic Structure ◽  
Basis Set ◽  
Dft Methods ◽  
Molecular Switching ◽  
Wide Range ◽  
Electronic Structure Methods ◽  
Explicitly Correlated ◽  
Relative Errors ◽  
The Stability ◽  
Basis Set Expansion

<p>Expanded porphyrins provide a versatile route to molecular switching devices due to their ability to shift between several π-conjugation topologies encoding distinct properties. Taking into account its size and huge conformational flexibility, DFT remains the workhorse for modeling such extended macrocycles. Nevertheless, the stability of Hückel and Möbius conformers depends on a complex interplay of different factors, such as hydrogen bonding, p···p stacking, steric effects, ring strain and electron delocalization. As a consequence, the selection of an exchange-correlation functional for describing the energy profile of topological switches is very difficult. For these reasons, we have examined the performance of a variety of wavefunction methods and density functionals for describing the thermochemistry and kinetics of topology interconversions across a wide range of macrocycles. Especially for hexa- and heptaphyrins, the Möbius structures have a pronouncedly stronger degree of static correlation than the Hückel and figure-eight structures, and as a result the relative energies of singly-twisted structures are a challenging test for electronic structure methods. Comparison of limited orbital space full CI calculations with CCSD(T) calculations within the same active spaces shows that post-CCSD(T) correlation contributions to relative energies are very minor. At the same time, relative energies are weakly sensitive to further basis set expansion, as proven by the minor energy differences between MP2/cc-pVDZ and explicitly correlated MP2-F12/cc-pVDZ-F12 calculations. Hence, our CCSD(T) reference values are reasonably well-converged in both 1-particle and n-particle spaces. While conventional MP2 and MP3 yield very poor results, SCS-MP2 and particularly SOS-MP2 and SCS-MP3 agree to better than 1 kcal mol<sup>-1</sup> with the CCSD(T) relative energies. Regarding DFT methods, only M06-2X provides relative errors close to chemical accuracy with a RMSD of 1.2 kcal mol<sup>-1</sup>. While the original DSD-PBEP86 double hybrid performs fairly poorly for these extended p-systems, the errors drop down to 2 kcal mol<sup>-1</sup> for the revised revDSD-PBEP86-NL, again showing that same-spin MP2-like correlation has a detrimental impact on performance like the SOS-MP2 results. </p>

Ideal–Gas Thermochemical Properties for Alkanolamine and Related Species Involved in Carbon Capture Applications

2020 ◽  
Author(s):  
Nayyereh hatefi ◽  
William Smith
Keyword(s):  
Heat Capacity ◽  
Electronic Structure ◽  
Co2 Capture ◽  
Carbon Capture ◽  
Ideal Gas ◽  
Thermochemical Properties ◽  
Temperature Range ◽  
Comparison Results ◽  
Electronic Structure Methods ◽  
Protonated Forms

<div>Ideal{gas thermochemical properties (enthalpy, entropy, Gibbs energy, and heat capacity, Cp) of 49 alkanolamines potentially suitable for CO2 capture applications and their carbamate and protonated forms were calculated using two high{order electronic structure methods, G4 and G3B3 (or G3//B3LYP). We also calculate for comparison results from the commonly used B3LYP/aug-cc-pVTZ method. This data is useful for the construction of molecular{based thermodynamic models of CO2 capture processes involving these species. The Cp data for each species over the temperature range 200 K{1500 K is presented as functions of temperature in the form of NASA seven-term polynomial expressions, permitting the set of thermochemical properties to be calculated over this temperature range. The accuracy of the G3B3 and G4 results is estimated to be 1 kcal/mol and the B3LYP/aug-cc-pVTZ results are of nferior quality..</div>

scholarly journals Exploring the Franck-Condon region of a photoexcited charge transfer complex in solution to interpret femtosecond stimulated Raman spectroscopy: excited state electronic structure methods to unveil non-radiative pathways

2021 ◽  
Author(s):  
Federico Coppola ◽  
Paola Cimino ◽  
Umberto Raucci ◽  
Maria Gabriella Chiariello ◽  
Alessio Petrone ◽  
...  
Keyword(s):  
Raman Spectroscopy ◽  
Electronic Structure ◽  
Excited State ◽  
Charge Transfer ◽  
Charge Transfer Complex ◽  
Main Role ◽  
Photoinduced Charge Transfer ◽  
Electronic Structure Methods ◽  
Franck Condon ◽  
Photoinduced Charge

We present electronic structure methods to unveil non-radiative pathways of photoinduced charge transfer (CT) reactions that play a main role in photophysics and light harvesting technologies. A prototypical π-stacked molecular...

Nonadiabatic dynamics simulation of keto isocytosine: a comparison of dynamical performance of different electronic-structure methods

2017 ◽  
Vol 19 (29) ◽  
pp. 19168-19177 ◽  
Author(s):  
Deping Hu ◽  
Yan Fang Liu ◽  
Andrzej L. Sobolewski ◽  
Zhenggang Lan
Keyword(s):  
Electronic Structure ◽  
Dynamics Simulation ◽  
Nonadiabatic Dynamics ◽  
Electronic Structure Methods ◽  
Reaction Channels ◽  
Dynamics Simulations

Different reaction channels are obtained in the nonadiabatic dynamics simulations of isocytosine at CASSCF and ADC(2) levels.

scholarly journals Evaluating electronic structure methods for accurate calculation of 19 F chemical shifts in fluorinated amino acids

2017 ◽  
Vol 38 (30) ◽  
pp. 2605-2617 ◽  
Author(s):  
Jayangika N. Dahanayake ◽  
Chandana Kasireddy ◽  
Jonathan M. Ellis ◽  
Derek Hildebrandt ◽  
Olivia A. Hull ◽  
...  
Keyword(s):  
Amino Acids ◽  
Electronic Structure ◽  
Chemical Shifts ◽  
Accurate Calculation ◽  
Fluorinated Amino Acids ◽  
Electronic Structure Methods
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