scholarly journals Trap Seeker and Digger: The Dual Identity of the Solvated Electron in Methanol

Author(s):  
Jinggang Lan ◽  
Yo-ichi Yamamoto ◽  
Toshinori Suzuki ◽  
Vladimir Rybkin

<div> <div> <div> <p>The structure of the solvated electron in methanol is less studied but more complicated than the one of the hydrated electron. In this condensed-phase first principles molecular dynamics study we reveal the nature of the recently discovered shallow and deep trap states of the excess electron and suggest a more complex picture including four bound cavity states classified by the number of the hydroxy-groups coordinated to the electron, their binding energy gradually increasing with the OH-coordination. The initial shallow bound states are formed via a transient diffusion mechanism, in a trap-seeking fashion, whereas, deeper bound states are formed via a slower methanol molecules reorientation. Despite apparent similarity of the absorption spectrum of the solvated electron in methanol to that in water, the origin of the absorption maximum is drastically different. The previously assumed model of hydrogenic transitions (s-p etc.) as is the case in water does not hold for methanol. Instead, the main bands arise due to the charge-transfer states, promoting the excess electron to the nearby cavity, naturally abundant in this solvent. We propose an alternative simple model to describe electronic states of the solvated electron in methanol: the double square well.</p> </div> </div> </div>

2021 ◽  
Author(s):  
Jinggang Lan ◽  
Yo-ichi Yamamoto ◽  
Toshinori Suzuki ◽  
Vladimir Rybkin

<div> <div> <div> <p>The structure of the solvated electron in methanol is less studied but more complicated than the one of the hydrated electron. In this condensed-phase first principles molecular dynamics study we reveal the nature of the recently discovered shallow and deep trap states of the excess electron and suggest a more complex picture including four bound cavity states classified by the number of the hydroxy-groups coordinated to the electron, their binding energy gradually increasing with the OH-coordination. The initial shallow bound states are formed via a transient diffusion mechanism, in a trap-seeking fashion, whereas, deeper bound states are formed via a slower methanol molecules reorientation. Despite apparent similarity of the absorption spectrum of the solvated electron in methanol to that in water, the origin of the absorption maximum is drastically different. The previously assumed model of hydrogenic transitions (s-p etc.) as is the case in water does not hold for methanol. Instead, the main bands arise due to the charge-transfer states, promoting the excess electron to the nearby cavity, naturally abundant in this solvent. We propose an alternative simple model to describe electronic states of the solvated electron in methanol: the double square well.</p> </div> </div> </div>


2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.


1937 ◽  
Vol 33 (1) ◽  
pp. 84-86
Author(s):  
V. A. Petrovykh

The harsh climatic conditions of the coast of the Tatar Strait make explainable the large number of patients with frostbite who passed under our supervision during the winter of 1935-36 and amounted to 2.8% (26 people) of the total contingent of inpatients. The variety of recommended methods for treating frostbite, on the one hand, and the relatively long recovery period for all of them, on the other hand, made us take a critical approach to the proposed methods of treatment. All currently existing methods are reduced to the treatment of frostbite areas with bandages; and on the locus morbi apply indifferent or slightly disinfecting ointments, or a similar property of a powder, or wipes moistened with slightly disinfecting solutions, for example, Sol. kalii hyperm. 1: 1000. The apparent similarity of the external manifestations of frostbite and burns inspired us with the idea of ​​conducting frostbite therapy in an "open way", which has long occupied a well-deserved place in the treatment of burns.


2001 ◽  
Vol 16 (22) ◽  
pp. 3745-3753 ◽  
Author(s):  
JUN-CHEN SU ◽  
JIAN-XING CHEN

It is pointed out that the retardation terms given in the original Fermi–Breit potential vanish in the center-of-mass frame. The retarded one-gluon exchange potential is rederived in this paper from the three-dimensional one-gluon exchange kernel which appears in the exact three-dimensional relativistic equation for quark–antiquark bound states. The retardation part of the potential given in the approximation of order p2/m2 is shown to be different from those derived in the previous literature. This part is off-shell and no longer vanishes in the center-of-mass frame.


1999 ◽  
Vol 14 (37) ◽  
pp. 2571-2577
Author(s):  
D. A. DEMIR

[Formula: see text] scattering is discussed in the strongly interacting phase of the MSSM. The rate for the decay [Formula: see text] is computed in the MSSM and SM, and the values of the Higgs–sfermion coupling needed for the former to dominate on the latter are identified. It is found that the MSSM signal dominates on the SM for Higgs–sfermion couplings well below the one needed for developing stopponium bound states via Higgs mediation.


2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Soner Alpdoğan ◽  
Ali Havare

The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.


1999 ◽  
Vol 08 (04) ◽  
pp. 389-416 ◽  
Author(s):  
G. MAO ◽  
H. STÖCKER ◽  
W. GREINER

We develop a relativistic model to describe the bound states of positive energy and negative energy in finite nuclei at the same time. Instead of searching for the negative-energy solution of the nucleon's Dirac equation, we solve the Dirac equations for the nucleon and the anti-nucleon simultaneously. The single-particle energies of negative-energy nucleons are obtained through changing the sign of the single-particle energies of positive-energy anti-nucleons. The contributions of the Dirac sea to the source terms of the meson fields are evaluated by means of the derivative expansion up to the leading derivative order for the one-meson loop and one-nucleon loop. After refitting the parameters of the model to the properties of spherical nuclei, the results of positive-energy sector are similar to that calculated within the commonly used relativistic mean field theory under the no-sea approximation. However, the bound levels of negative-energy nucleons vary drastically when the vacuum contributions are taken into account. It implies that the negative-energy spectra deserve a sensitive probe to the effective interactions in addition to the positive-energy spectra.


2008 ◽  
Vol 17 (06) ◽  
pp. 1107-1123 ◽  
Author(s):  
SAMEER M. IKHDAIR ◽  
RAMAZAN SEVER

The one-dimensional semi-relativistic equation has been solved for the [Formula: see text]-symmetric generalized Hulthén potential. The Nikiforov–Uvarov (NU) method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type, is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have investigated the positive and negative exact bound states of the s-states for different types of complex generalized Hulthén potentials.


1981 ◽  
Vol 20 (5) ◽  
pp. 917-923 ◽  
Author(s):  
Shizuo Fujita ◽  
Michinori Nishihara ◽  
Won-Lon Hoi ◽  
Akio Sasaki
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