Relation between solutions of the Schrödinger equation with transitioning resonance solutions of the gravitational three-body problem

Belbruno, Edward

doi:10.1088/2399-6528/ab693f

Cited by 4 publications

(2 citation statements)

References 23 publications

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“…Morse's law is generally used to explain the potential of disharmonic vibration of molecules, 78,79 and the solution of Schrödinger's equation gives access to the vibrational energy level of a harmonic oscillator in the form of a series of quantized energy levels. [80][81][82][83] Note that the harmonic oscillator frequencies are given by Hooke's law. 84 For more comprehension of the physical state of the polymer electrolyte and the different phases, we have analyzed the PEO, LiTFSI, and the mixture PEO-LiTFSI by the IR technique.…”

Section: Resultsmentioning

confidence: 99%

Investigating the Physical State of Polymer Electrolyte: Influence of Temperature and LiTFSI Concentration on the Phase of the Different States of the Polymer Electrolyte PEO-LiTFSI

Toe,

Remigy,

Leveau

et al. 2023

ECS Adv.

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A critical analysis of the physical state {solid or liquid state} of the PEO-LiTFSI system was investigated in this study. The findings show one crystallite type in PEO and four in LiTFSI. The physical state of the binary mixture PEO-LiTFSI is predominate by the semi-crystalline properties of pure PEO when we is lower than 33 wt%, and the crystallization of the mixture is only induced by PEO. Nevertheless, LiTFSI reduces the degree of crystallinity of PEO due to its solvation by a part of PEO crystallites. Besides, as the solubility limit of LiTFSI in PEO is achieved, salt crystallites appear within the resulting electrolyte. These crystallites in the high we domain were identified as LiTFSI crystallites complexed with PEO. However, rising temperature promotes their dissolution. The functional groups implicated in the crystallization of PEO-LiTFSI have been highlighted using the IR technique. Besides, the experimental result shows that the glass transition temperature (Tg) and the melting point (Tm) of the binary mixture exhibit a non-linear trend with we and Mw. A simple mathematical treatment is proposed to predict glass transition temperature as a function of we and Mw. Our model considers the additive effect of lithium salt on the Tg variation.

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Section: Resultsmentioning

confidence: 99%

Investigating the Physical State of Polymer Electrolyte: Influence of Temperature and LiTFSI Concentration on the Phase of the Different States of the Polymer Electrolyte PEO-LiTFSI

Toe,

Remigy,

Leveau

et al. 2023

ECS Adv.

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“…To date, despite the effort put in numerous works (García and Gómez, 2007;Topputo et al, 2008;Belbruno et al, 2008Belbruno et al, , 2010Belbruno et al, , 2013, both WSB and BC are still not completely understood. Nonetheless, a connection between celestial and quantum mechanics was recently found exploiting the WSB (Belbruno, 2020), providing a fresh perspective to tackle the problem.…”

Section: Unitmentioning

confidence: 99%

Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars

Caleb

Merisio

Lizia

et al. 2022

Celest Mech Dyn Astron

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Ballistic capture orbits offer safer Mars injection at longer transfer time. However, the search for such an extremely rare event is a computationally-intensive process. Indeed, it requires the propagation of a grid sampling the whole search space. This work proposes a novel ballistic capture search algorithm based on Taylor differential algebra propagation. This algorithm provides a continuous description of the search space compared to classical grid sampling research and focuses on areas where the nonlinearities are the largest. Macroscopic analyses have been carried out to obtain cartography of large sets of solutions. Two criteria, named consistency and quality, are defined to assess this new algorithm and to compare its performances with classical grid sampling of the search space around Mars. Results show that differential algebra mapping works on large search spaces, and automatic domain splitting captures the dynamical variations on the whole domain successfully. The consistency criterion shows that more than 87% of the search space is guaranteed as accurate, with the quality criterion kept over 80%.Ballistic capture (BC) allows a spacecraft to approach a planet and enter a temporary orbit about it without requiring maneuvers in between. As part of the low-energy transfers, it is a valuable alternative to Keplerian approaches. Exploiting BC grants several benefits in terms of both cost reduction (Belbruno and Miller, 1993) and mission versatility (Belbruno and Carrico, 2000;Topputo and Belbruno, 2015), in general at the cost of longer transfer times (Circi and Teofilatto, 2001;Ivashkin, 2002). In the past, the BC mechanism was used to rescue Hiten (Belbruno and Miller, 1990), and to design insertion trajectories in lunar missions like SMART-1 (Racca et al, 2002) and GRAIL (Chung et al, 2010). In the near future, BepiColombo will exploit BC orbits to be weakly captured by Mercury (Benkhoff et al, 2021;Schuster and Jehn, 2014). BC is an event occurring in extremely rare occasions and requires acquiring a proper state (position and velocity) far away from the target planet (Topputo and Belbruno, 2015). In fact, massive numerical simulations are required to find the specific conditions that support capture (Topputo and Belbruno, 2009) and only approximately 1 out of 10 000 states lead to capture (Luo and Topputo, 2015). In a first effort to reduce the computational burden, the variational theory for

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How do gepotidacin and zolifodacin stabilize DNA-cleavage complexes with bacterial type IIA topoisomerases? 2. A Single Moving Metal Mechanism

Nicholls,

Morgan,

Warren

et al. 2024

Preprint

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DNA gyrase is a type IIA topoisomerase that can create temporary double-stranded DNA breaks to regulate DNA topology and an archetypical target of antibiotics. The widely used quinolone class of drugs use a water-metal ion bridge in interacting with the GyrA subunit of DNA gyrase. Zoliflodacin sits in the same pocket as quinolones but interacts with the GyrB subunit and also stabilizes lethal double-stranded DNA-breaks. Gepotidacin had been observed to sit on the twofold axis of the complex, midway between the two four base-pair separated DNA-cleavage sites and has been observed to stabilize singe-stranded DNA-breaks. Here we use information from three crystal structures of complexes ofStaphlococcus aureusDNA gyrase (one with a precursor of gepotidacin and one with the progenitor of zoliflodacin) to propose a simple single moving metal-ion catalyzed DNA-cleavage mechanism. Our model explains why the catalytic tyrosine is in the tyrosinate (negatively charged) form for DNA-cleavage. Movement of a single catalytic metal-ion (Mg2+or Mn2+) guides water mediated protonation and cleavage of the scissile phosphate which is then accepted by the catalytic tyrosinate. Type IIA topoisomerases need to be able to rapidly cut the DNA when it becomes positively supercoiled (in front of replication forks and transcription bubbles) and we propose that the original purpose of the small Greek Key domain, common to all type IIA topoisomerases, was to allow access of the catalytic metal to the DNA-cleavage site. Although the proposed mechanism is consistent with published data, it is not proven and other mechanisms have been proposed. Finally how such mechanisms can be experimentally distinguished is considered.

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Relation between solutions of the Schrödinger equation with transitioning resonance solutions of the gravitational three-body problem

Cited by 4 publications

References 23 publications

Investigating the Physical State of Polymer Electrolyte: Influence of Temperature and LiTFSI Concentration on the Phase of the Different States of the Polymer Electrolyte PEO-LiTFSI

Investigating the Physical State of Polymer Electrolyte: Influence of Temperature and LiTFSI Concentration on the Phase of the Different States of the Polymer Electrolyte PEO-LiTFSI

Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars

How do gepotidacin and zolifodacin stabilize DNA-cleavage complexes with bacterial type IIA topoisomerases? 2. A Single Moving Metal Mechanism

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