Room Temperature H&lt;SUB&gt;2&lt;/SUB&gt;S Gas Sensing Application of Polyol Route Synthesized Nanosized Nickel Ferrite

Patil, Rupali; Nikam, Pravin N.; Delekar, Sagar D.; Patil, N. M.; Patil, D. R.; Hankare, P.P.

doi:10.1166/sl.2015.3436

Cited by 4 publications

(13 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Information‐theoretic methods have been used extensively to study various systems in Communications, Physics, Chemistry, and Biology . The various information‐theoretic quantities such as Shannon entropy, Fisher information, Renyi entropy, Tsallis entropy, Onicescu information energy have been discussed for different quantum mechanical systems . An interesting and simple method has been used to obtain Fisher information, Shannon, Onicescu, and Tsallis entropies in atoms as functions of the atomic number Z in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The information‐theoretic quantities have also been discussed using scaling properties of the systems . The relativistic effect have also been considered in the study of the information‐theoretic quantities .…”

Section: Introductionmentioning

confidence: 99%

“…The Tsallis entropy is defined in the position and momentum spaces, respectively, as

T_{q} [ρ] = \frac{1}{q - 1} true(1 - \int ρ {(r)}^{q} d r true)

and

T_{m} [γ] = \frac{1}{m - 1} true(1 - \int γ {(p)}^{m} d p true), \frac{1}{q} + \frac{1}{m} = 2.

…”

Section: Introductionmentioning

confidence: 99%

“…The pseudoharmonic potential has been very useful in the area of chemical physics and it has been extensively used to describe interaction of some diatomic molecules as its introduction . This potential is used to describe the roto‐vibrational states of diatomic molecules and nuclear rotations and vibrations . The pseudoharmonic potential can be written as

V (r) = D_{normale} {true(\frac{r}{r_{normale}} - \frac{r_{normale}}{r} true)}^{2},

where D e is the dissociation energy between two atoms in a solid and r e is the equilibrium intermolecular separation.…”

Section: Introductionmentioning

confidence: 99%

“…[7,8] The various information-theoretic quantities such as Shannon entropy, Fisher information, Renyi entropy, Tsallis entropy, Onicescu information energy have been discussed for different quantum mechanical systems. [9][10][11][12][13][14][15][16][17][18][19] An interesting and simple method has been used to obtain Fisher information, Shannon, Onicescu, and Tsallis entropies in atoms as functions of the atomic number Z in Ref. [8].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Position and momentum information‐theoretic measures of the pseudoharmonic potential

Yahya

Oyewumi

Sen

2015

Int J of Quantum Chemistry

View full text Add to dashboard Cite

In this study, the information-theoretic measures in both the position and momentum spaces for the pseudoharmonic potential using Fisher information, Shannon entropy, Renyi entropy, Tsallis entropy and Onicescu information energy are investigated analytically and numerically. The results obtained are applied to some diatomic molecules. The Renyi and Tsallis entropies are analytically obtained in position space using Srivastava-Niukkanen linearization formula in terms of the Lauricella hypergeometric function. Also they are obtained in the momentum space in terms of the multivariate Bell polynomials of Combinatorics. We observed that the Fisher information increases with n in both the position and momentum spaces, but decreases with ℓ for all the diatomic molecules considered. The Shannon entropy also increases with increasing n in the position space and decreases with increasing ℓ. The variations of the Renyi and Tsallis entropies with ℓ are also discussed. The exact and numerical values of the Onicescu information energy are also obtained, after which the ratio of information-theoretic impetuses to lengths for Fisher, Shannon and Renyi are obtained.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The Tsallis entropy is defined in the position and momentum spaces, respectively, as

T_{q} [ρ] = \frac{1}{q - 1} true(1 - \int ρ {(r)}^{q} d r true)

and

T_{m} [γ] = \frac{1}{m - 1} true(1 - \int γ {(p)}^{m} d p true), \frac{1}{q} + \frac{1}{m} = 2.

…”

Section: Introductionmentioning

confidence: 99%

V (r) = D_{normale} {true(\frac{r}{r_{normale}} - \frac{r_{normale}}{r} true)}^{2},

where D e is the dissociation energy between two atoms in a solid and r e is the equilibrium intermolecular separation.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Position and momentum information‐theoretic measures of the pseudoharmonic potential

Yahya

Oyewumi

Sen

2015

Int J of Quantum Chemistry

View full text Add to dashboard Cite

show abstract

Effect of Sintering Temperature on Structural, Morphological, and Magnetic Properties of Nickel Ferrite Prepared via a Polyol Method

Patil

Waghmare²,

Kalantre³

et al. 2020

Macromolecular Symposia

View full text Add to dashboard Cite

The effects of sintering temperature on the structural and magnetic properties of polycrystalline nickel ferrite synthesized by the novel polyol method are investigated. The effects of heat treatment temperature on crystalline phases formation, microstructure, and magnetic properties of Ni ferrite are investigated by x‐ray diffraction (XRD), thermogravimetric, and differential thermal analysis, scanning electron microscopy, transmission electron microscopy, Fourier‐transform infrared spectroscopy (FT‐IR), and B‐H loop tracer technique. The XRD plot of the powder samples sintered at different temperature shows increase in the peak intensity values with respect to temperature of sintering thereby showing an increasing crystallinity of the samples with an increasing sintering temperature. FT‐IR spectra for sample sintered at 773 K shows two sharp bands on octahedral and tetrahedral sites. Scanning electron micrographs show spherical and uniform grains which is observed on sintering temperature 773 K. Particle size of nickel ferrite is in the range of 11–15 nm, and depends on the sintering temperature and sintering time. The saturation magnetization increased from 23.45 to 45.61 emu g−1 and coercivity increases from 327.27 to 1097.03 Oe with an increase in particle size.

show abstract

Benchmark values of Shannon entropy for spherically confined hydrogen atom

Jiao

Zan

Zhang

et al. 2017

Int J of Quantum Chemistry

View full text Add to dashboard Cite

The information-theoretic measure of confined hydrogen atom has been investigated extensively in the literature. However, most of them were focused on the ground state and accurate values of information entropies, such as Shannon entropy, for confined hydrogen are still not determined. In this work, we establish the benchmark results of the Shannon entropy for confined hydrogen atom in a spherical impenetrable sphere, in both position and momentum spaces. This is done by examining the bound state energies, the normalization of wave functions, and the scaling property with respect to isoelectronic hydrogenic ions. The angular and radial parts of Shannon entropy in two conjugate spaces are provided in detail for both free and confined hydrogen atom in ground and several excited states. The entropies in position space decrease logarithmically with decreasing the size of confinement, while those in momentum space increase logarithmically. The Shannon entropy sum, however, approaches to finite values when the confinement radius closes to zero. It is also found that the Shannon entropy sum shares same trend for states with similar density distributions. Variations of entropy for nodeless bound states are significantly distinct form those owning nodes when changing the confinement radius. K E Y W O R D S confined hydrogen atom, momentum space, radial entropy, Shannon entropy Int J Quantum Chem. 2017;117:e25375. https://doi.org/10.1002/qua.25375.

show abstract

Room Temperature H<SUB>2</SUB>S Gas Sensing Application of Polyol Route Synthesized Nanosized Nickel Ferrite

Cited by 4 publications

References 0 publications

Position and momentum information‐theoretic measures of the pseudoharmonic potential

Position and momentum information‐theoretic measures of the pseudoharmonic potential

Effect of Sintering Temperature on Structural, Morphological, and Magnetic Properties of Nickel Ferrite Prepared via a Polyol Method

Benchmark values of Shannon entropy for spherically confined hydrogen atom

Contact Info

Product

Resources

About