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Silicon nanowires were characterized by x-ray photoelectron spectroscopy with an Al Kα (1486.6 eV) excitation source. The sample was fixed to a stainless-steel sample holder with a copper double-sided adhesive tape. Survey spectrum and C 1s, O 1s, and Si 2p core-level spectra were acquired. [ABSTRACT FROM AUTHOR]

This paper aims to unify q-derivative/q-integrals and h-derivative/h-integrals into a single definition, called q − h -derivative/ q − h -integral. These notions are further extended on the finite interval [ a , b ] in the form of left and right q − h -derivatives and q − h -integrals. Some inequalities for q − h -integrals are studied and directly connected with well known results in diverse fields of science and engineering. The theory based on q-derivatives/q-integrals and h-derivatives/h-integrals can be unified using the q − h -derivative/ q − h -integral concept. [ABSTRACT FROM AUTHOR]

Structural, electronic, magnetic and elastic characteristics of do half-Heusler alloys CsXB (X = Mg and Sr) are investigated by using First-principles study based on density functional theory. Full-potential linearized augmented plane wave method is used to study these compounds in WIEN2k. The generalized gradient approximation that Perdew–Burke–Ernzerhof developed is used to deal with the exchange correlation function. The elastic characteristics have been employed with the IRelast package, which is already included into WIEN2K. Band structure and density of states are used to describe electronic properties which indicate the half-metallic nature of these compounds. Both CsMgB and CsSrB have minimum energies for spin channel. According to our calculations, CsMgB has a gap of 0.44 eV for spin down channel while CsSrB shows a gap of 0.34 eV for spin up channel. These two compounds exhibit half-metallic characteristic with total integer magnetic moment per formula unit, i.e., 2.00002 for CsMgB and 2.00004 µB of CsSrB which is in well accordance with the Slater–Pauling rule [Mtot = (8−Ztot) µB]. Both compounds are mechanically stable and reveal ductile nature. The obtained results reveal that CsSrB and CsMgB compounds are HM ferromagnets with perfect spin polarization in the absence of transition metals which make them promising candidates for spintronic devices. [ABSTRACT FROM AUTHOR]

In this paper, we study a sufficient condition for subelliptic estimates in the weak Z(k) domain with C³ boundary in an n-dimentionsl Stein manifold X. Consequently, the compactness of the ∂̅-Neumann operator N on M is obtained and the closedness ranges of ∂̅ and ∂̅* are presented. The L²-setting and the Sobolev estimates of N on M are proved. We study the ∂̅ problem with support conditions in M for Ξ-valued (p, k) forms, where Ξ is the m-times tensor product of holomorphic line bundle Ξ⊗m for positive integer m. Moreover, the compactness of the weighted ∂̅-Neumann operator is studied on an annular domain in a Stein manifold M = M1\M2̅, between two smooth bounded domains M1 and M2 satisfy M2̅ ∈ M1, M1 is weak Z(k), M2 is weak Z(n-1-k), 1 ≤ k ≤ n - 2 with n ≥ 3. In all cases, the closedness of ∂̅ and ∂̅*, global boundary regularity for ∂̅ and ∂̅b are studied. [ABSTRACT FROM AUTHOR]

The aim of this paper is to present the bounds of k-fractional integrals containing the Mittag-Leffter function. For establishing these bounds, a generalized convexity namely strongly exponentially (α, h-m)-p-convexity is utilized. The results of this article provide many new fractional inequalities for several types of fractional integrals and various kinds of convexities. Moreover, an identity is established which helps in proving a Hadamard type inequality. [ABSTRACT FROM AUTHOR]

In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.