Behavior of an electron in the vicinity of a tridimensional charged polar nanoparticle through a classical and quantum constant of motion

Castellanos-Jaramillo, Alejandro; Gutiérrez-López, S.; Castellanos-Moreno, Arnulfo

doi:10.1007/s11051-020-04936-1

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Mean Internal Energy1

Constants Of Motion Of the System1

Numerical Solution Of the Angular Equation1

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2021

2023

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Cited by 2 publications

(3 citation statements)

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“…where bond length is d   0.1nm 0.4 nm, our region of interest lies within the range of values where the Keesom term proves to be imprecise [21].…”

Section: Mean Internal Energymentioning

confidence: 92%

Thermodynamic properties of M− C ₆₀ dimers immersed in an inert gas

Silva-Molina,

Castellanos-Moreno,

Castellanos-Jaramillo

et al. 2023

Phys. Scr.

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When fullerenes 60 capture an alkali metal M − C_60 , they acquire a powerful permanent dipole. This suggests that if the system is in an inert atmosphere, like Argon, they tend to form dimers (M − C_60)2 , producing a gas whose thermodynamical properties can be studied. On this work, we focus on the degrees of freedom that appear when the dimer has formed. The fraction of ( M − C_60)2 that can be created is calculated by using the standard physical statistics and can be graphed against the temperature on the 273.15 K and 373.15 K interval.

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“…where bond length is d   0.1nm 0.4 nm, our region of interest lies within the range of values where the Keesom term proves to be imprecise [21].…”

Section: Mean Internal Energymentioning

confidence: 92%

Thermodynamic properties of M− C ₆₀ dimers immersed in an inert gas

Silva-Molina,

Castellanos-Moreno,

Castellanos-Jaramillo

et al. 2023

Phys. Scr.

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“…After that, it was shown that it is true for any central potential with an added term γ cos θ r 2 . Its quantum counterpart was presented in equation [14].…”

Section: Constants Of Motion Of the Systemmentioning

confidence: 99%

“…The solution to the angular equation has been studied in [14] with the difference that the parameter g is extracted from the next relation:…”

Section: Numerical Solution Of the Angular Equationmentioning

confidence: 99%

Rigid diatomic polar molecules in an external uniform electric field

Castellanos-Moreno¹,

Castellanos-Jaramillo²

2021

Eur. J. Phys.

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This paper presents a didactic treatment of the rigid diatomic molecule under the action of an external electric field. We discuss the role of a new constant of motion that is valid when the electric field breaks spherical symmetry. We obtain the wave functions and the energies in the radial direction as well as the angular degrees of freedom, the latter corresponding to the eigenvalue spectrum of the new constant of motion. We apply the theory of the HBr molecule, and plot some of its eigenfunctions to show how they deform under the presence of an electric field. We calculate the wave lengths of the absorbed electromagnetic radiation in the transition of the first and second excited states and with different field values.

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Behavior of an electron in the vicinity of a tridimensional charged polar nanoparticle through a classical and quantum constant of motion

Cited by 2 publications

References 13 publications

Thermodynamic properties of M− C ₆₀ dimers immersed in an inert gas

Thermodynamic properties of M− C ₆₀ dimers immersed in an inert gas

Rigid diatomic polar molecules in an external uniform electric field

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Behavior of an electron in the vicinity of a tridimensional charged polar nanoparticle through a classical and quantum constant of motion

Cited by 2 publications

References 13 publications

Thermodynamic properties of M− C 60 dimers immersed in an inert gas

Thermodynamic properties of M− C 60 dimers immersed in an inert gas

Rigid diatomic polar molecules in an external uniform electric field

Contact Info

Product

Resources

About

Thermodynamic properties of M− C ₆₀ dimers immersed in an inert gas

Thermodynamic properties of M− C ₆₀ dimers immersed in an inert gas