Spatial distribution of 6s<sup>2</sup> lone electron pair in Pb<sub>4</sub>Na(PO<sub>4</sub>)<sub>3</sub> and stereochemical activity of the 6s<sup>2</sup> electron cloud in lead-bearing apatites. [PDF]
Acta Crystallogr B Struct Sci Cryst Eng MaterIn lacunary apatite structure‐type Pb4Na(PO4)3, residual density attributable to the deformed 6s2 electron cloud is found in the vicinity of A2‐site Pb2+ on regular A2 triangle normal to c. Systematic comparison on the size of the A2 triangle with other apatite‐type compounds indicates limited stereochemical activity of the orbital.Single crystals of ...
Hirano K, Okudera H.
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More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal-Oxo Assembly. [PDF]
Angew Chem Int Ed EnglTris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Gumerova NI, Rompel A.
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In Situ Observation of Polyoxometalate Formation by Vibrational Spectroscopy. [PDF]
ChemistryIn‐situ IR and Raman spectroscopy were employed to observe the formation of polyoxometalates (POMs) in aqueous solution. Thereby key intermediates were identified, and better understanding of POM formation enabled the development of an improved method for the synthesis of vanadium‐substituted phosphomolybdates, which are important catalysts for ...
Krueger JH +5 more
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Surface-Exposed Pd Nanocluster Confined within a Ring-Shaped Polyoxometalate for Selective Hydrogenation. [PDF]
Adv Sci (Weinh)A small Pd nanocluster is successfully prepared within a ring‐shaped polyoxometalate via a mild solid‐state reduction process. The resulting surface‐exposed Pd nanocluster functions as a robust heterogeneous reusable catalyst, enabling highly chemoselective hydrogenation of substrates containing multiple reducible functional groups via selective ...
Xi R +8 more
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Some new lacunary $f$-statistical $A$-convergent sequence spaces of order $\alpha$ [PDF]
, 2015 We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus ...
Borgohain, Stuti, Savas, Ekrem
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Some new lacunary statistical convergence with ideals
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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Hervé- and Krebs-Type Magnetic Polyoxometalate Dimers
Magnetochemistry, 2022 Lacunary polyoxometalates (POMs) are negatively charged metal–oxo clusters, formally obtained from plenary topologies via fragment removal. Owing to the fragment removal, the lacunary POMs archetypes are rich in nucleophilic terminal oxo ligands, making ...
Aleksandar Kondinski +2 more
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Construction of Lacunary Sextic spline function Interpolation and their Applications [PDF]
مجلة التربية والعلم, 2010 In this paper, we consider the construction of the sextic splines function which interpolating the lacunary data. Also, under suitable conditions, we show that the existence and uniqueness of the solution. The convergence analysis of this spline function
Abbas Y. Al Bayati +2 more
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Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups [PDF]
, 2010 We define lacunary Fourier series on a compact connected semisimple Lie group $G$. If $f \in L^1(G)$ has lacunary Fourier series, and vanishes on a non empty open set, then we prove that $f$ vanishes identically.
Narayanan, E K, Sitaram, A
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Bounds for Lacunary maximal functions given by Birch–Magyar averages [PDF]
Transactions of the American Mathematical Society, 2021 We obtain positive and negative results concerning lacunary discrete maximal operators defined by dilations of sufficiently nonsingular hypersurfaces arising from Diophantine equations in many variables. Our negative results show that this problem differs substantially from that of lacunary discrete maximal operators defined along a nonsingular ...
Cook, Brian, Hughes, Kevin
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