quantum geometries
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2021 ◽  
Author(s):  
Filipe Teixeira ◽  
Edgar Silva-Santos ◽  
M. Natália D. S. Cordeiro

In this work, we report the TMtopo data set containing optimized geometries, quantum calculated properties, and quantum topological descriptors for 1110 first row TM complexes. Properties were computed at the TPSSh/Def2-TZVP level of theory and the quantum topological descriptors were collected under the framework of the Quantum Theory of Atoms in Molecules (QTAIM), including a systematic topological survey of the Laplacian of the electron density, ∇<sup>2</sup>ρ(r). This survey yielded novel insights on the proliferation of inner Valence Shell Charge Concentrations (iVSCCs, local minima of ∇<sup>2</sup>ρ(r)) in the metal center, suggesting that their number is determinant for the stabilization of the metal center in a more intense manner than their arrangement opposing each of the metal’s ligands (<i>Inorg. Chem.</i> 2016, <b>55</b>, 3653). Pairwise representation of the collected properties revealed overall low correlation, although some structure could be perceived in the data (specially when considering the topological features of ∇ 2 ρ(r)). This suggests that the TMtopo data set could be usefully exploited in the data-driven discovery of new TM complexes with interesting properties for applications in as catalysis, opto-electronics and sustainable energy production and storage.


2021 ◽  
Author(s):  
Filipe Teixeira ◽  
Edgar Silva-Santos ◽  
M. Natália D. S. Cordeiro

In this work, we report the TMtopo data set containing optimized geometries, quantum calculated properties, and quantum topological descriptors for 1110 first row TM complexes. Properties were computed at the TPSSh/Def2-TZVP level of theory and the quantum topological descriptors were collected under the framework of the Quantum Theory of Atoms in Molecules (QTAIM), including a systematic topological survey of the Laplacian of the electron density, ∇<sup>2</sup>ρ(r). This survey yielded novel insights on the proliferation of inner Valence Shell Charge Concentrations (iVSCCs, local minima of ∇<sup>2</sup>ρ(r)) in the metal center, suggesting that their number is determinant for the stabilization of the metal center in a more intense manner than their arrangement opposing each of the metal’s ligands (<i>Inorg. Chem.</i> 2016, <b>55</b>, 3653). Pairwise representation of the collected properties revealed overall low correlation, although some structure could be perceived in the data (specially when considering the topological features of ∇ 2 ρ(r)). This suggests that the TMtopo data set could be usefully exploited in the data-driven discovery of new TM complexes with interesting properties for applications in as catalysis, opto-electronics and sustainable energy production and storage.


2018 ◽  
Vol 33 (18) ◽  
pp. 1850103 ◽  
Author(s):  
Xiao-Kan Guo ◽  
Qing-Yu Cai

The back reactions of Hawking radiation allow nontrivial correlations between consecutive Hawking quanta, which gives a possible way of resolving the paradox of black hole information loss known as the hidden messenger method. In a recent work of Ma et al. [ arXiv:1711.10704 ], this method is enhanced by a general derivation using small deviations of the states of Hawking quanta off canonical typicality. In this paper, we use this typicality argument to study the effects of generic back reactions on the quantum geometries described by spin network states, and discuss the viability of entropy conservation in loop quantum gravity. We find that such back reactions lead to small area deformations of quantum geometries including those of quantum black holes. This shows that the hidden-messenger method is still viable in loop quantum gravity, which is a first step towards resolving the paradox of black hole information loss in quantum gravity.


2017 ◽  
Vol 34 (7) ◽  
pp. 074003 ◽  
Author(s):  
Ivan Agullo ◽  
Abhay Ashtekar ◽  
Brajesh Gupt

2016 ◽  
Vol 49 (28) ◽  
pp. 285301 ◽  
Author(s):  
Lukas Schneiderbauer ◽  
Harold C Steinacker

2015 ◽  
Vol 64 (1) ◽  
pp. 131-143 ◽  
Author(s):  
Cristiano Germani ◽  
Debajyoti Sarkar
Keyword(s):  

2015 ◽  
Vol 91 (8) ◽  
Author(s):  
Gianluca Calcagni ◽  
Daniele Oriti ◽  
Johannes Thürigen

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