Theoretical study of NO<Stack><Subscript>3</Subscript><Superscript>−</Superscript></Stack> interacting with carbon nanotube

This paper deals with quantum mechanical interaction of no ₃⁻ with (5,5) and (8,0) swcnts. To perform this we have made an ab initio calculation based on the density functional theory. In these framework the electronic density plays a central role and it was obtained of a self-consistent field form. It was observed through binding energy that NO₃⁻ molecule interacts with each nanotube in a physisorption regime. We propose these swcnts as a potential filter device due to reasonable interaction with NO₃⁻ molecule. Besides this type of filter could be reusable, therefore after the filtering, the swcnts could be separated from NO₃⁻ molecule.      

Low temperature specific heat of the one-dimensional Heisenberg antiferromagnet α-bis-(N-Methylsalicylaldiminato) — Copper (II) [α-CuNSal]

Measurement of the specific heat of α-bis-(N-Methyl-Salicylaldiminato) - copper (II) (α-CuNSal) over the temperature range 0.07–3.5 K in applied magnetic fields of 0, 10, and 18 kOe is foundto be consistent with that of a one-dimensional spin-$\text{1}\text{2}$ Heisenberg antiferromagnet. Below 0.2 K, deviations from theory are interpreted as probably associated with the onset of three dimensional magnetic ordering.     

On a Class of Supersoluble Groups

This paper identifies a class of supersoluble groups, called finitely generated hallsoging groups. The main result states that the product of a normal finitely generated hall-soging subgroup and a subnormal supersoluble subgroup is always supersoluble.AMS Subject Classification (1991): 20F16, 20F19, 20E25.     

Brillouin light scattering in CMR manganite films

Thin films of La_0.7A_0.3MnO₃ (A=Ce, Ca, and Sr) and La_0.55Ho_0.15Sr_0.3MnO₃ manganites have been investigated by Brillouin light scattering at room temperature. The phonon spectra for the Ce-doped sample showed an interesting three-peak structure at frequency shifts of 11.4, 13.8 and 16.1 GHz, with negligible dispersion and in-plane anisotropy. For a fixed scattering angle, the phonon spectrum of the other samples showed a broad peak at a smaller frequency (<10 GHz). It is shown that the observed phonon frequency decreases with increasing ionic character of the La–Mn bonds resulting from the replacement of part of the atoms of La by Ce, Ca, Sr and Ho.     

Third order corrections and finite conduction band effects on the indirect exchange interaction in the Bloembergen-Rowland approximation

We have investigated third order corrections and finite conduction band effects on the indirect exchange interaction assuming a large energy gap compared to the valence band width. We regain an oscillatory expression in which as opposed to the Bloembergen-Rowland formula the energy gap as well as the conduction band width modifies both the magnitude and phase of the oscillations.     

A Basis for the Graded Identities of the Matrix Algebra of Order Two over a Finite Field of Characteristic p≠2

Let K be a finite field of characteristic p>2, and let M₂(K) be the matrix algebra of order two over K. We describe up to a graded isomorphism the 2-gradings of M₂(K). It turns out that there are only two nonisomorphic nontrivial such gradings. Furthermore, we exhibit finite bases of the graded polynomial identities for each one of these two gradings. One can distinguish these two gradings by means of the graded polynomial identities they satisfy.     

Thermodynamics of liquid mixtures of argon+ carbon monoxide

The heat of mixing of liquid argon (component 1) and liquid carbon monoxide has been measured by direct calorimetry for several mixtures of composition ranging from x₁ ? 0.2 to x₁ ? 0.8 at 85.79 K. At this temperature H^E is positive and an almost parabolic function of mole fraction, with a maximum value of H^E = 95.9 J mol^?1 at x₁ = 0.569.The experimental results are compared with those derived from the Gibbons-Rigby equation of state, and from conformal solution theory.     

On the kinetics of oxygen desorption of57Fe: YBa2Cu3O7−d superconducting oxides

We report on “in situ” high temperature⁵⁷Fe Mössbauer measurements on several⁵⁷Fe: YBaCuO samples under vacuum and various controlled temperatures. The results obtained allowed us to get information about the mechanism of oxygen desorption under various annealing heating conditions.     

The effect of non-linear capacitances in the localization properties of aperiodic dual electric transmission lines

This study investigates the localization properties of dual electric transmission lines with non-linear capacitances. The V_C,n voltage across each capacitor is selected as a non-linear function of the electric charge q_n, i.e., V_C,n = q_n(1/C_n -ε_n|q_n|²)where C_n is the linear part of the capacitance and ε_n the amplitude of the non-linear term. We follow a binary distribution of values of ε_n, according to the Thue-Morse m-tupling sequence. The localization behavior of this non-linear case indicates that the case m = 2 does not belong to the m ≥ 3, family because when m changes from m = 2 to m = 3, the number of extended states diminishes dramatically. This proves the topological difference of the m = 2 and m = 3 families. However, by increasing m values, localization behavior of the m-tupling family resembles that of the m = 2, case because the system begins to regain its extended states. The exact same result was obtained recently in the study of linear direct transmission lines with m-tupling distribution of inductances. Consequently, we state that the localization behavior of the m-tupling family as a function of the m value is independent of both the linear and the non-linear system under study, but independent of the kind of transmission line (dual or direct). This is curious behavior of the m-tupling family and thus deserves more scholarly attention.     

Decay of Singular Values of Power Series Kernels on the Sphere

In this article, we provide decay rates for singular values of compact integral operators generated by power series kernels on either the unit sphere or the closed unit ball in ?^m + 1, m ≥ 1 under decay assumptions on the coefficients in the expansion of the kernel. The results are illustrated in concrete examples, including an integral operator generated by a Gaussian kernel on the sphere.