Search results for "algebra"

Inside Cover: A Vastly Increased Chemical Variety of RNA Modifications Containing a Thioacetal Structure (Angew. Chem. Int. Ed. 26/2018)

2018

Crystal structure and physical properties of the new linear chain compound [Cu(1,2-bis(tetrazol-1-yl)ethane)3](ClO4)2

2001

The synthesis and crystal structure of a novel one-dimensional Cu(II) compound [Cu(1,2-bis(tetrazol-1-yl)ethane)3](ClO4)2 are described. The single-crystal X-ray structure determination was carried out at 298 K. The molecular structure consists of a linear chain in which the Cu(II) ions are linked by three N4,N4' coordinating bis(tetrazole) ligands in syn conformation. The Cu(II) ions are in a Jahn-Teller distorted octahedral environment (Cu(1)-N(11)=2.034(2) A, Cu(1)-N(21)=2.041(2) A and Cu(1)-N(31)=2.391(2) A). The Cu⋯Cu separations are 7.420(3) A.

[FeIILSCoIIILS]2⇔ [FeIIILSCoIIHS]2 photoinduced conversion in a cyanide-bridged heterobimetallic molecular square

2010

The self-assembly of [Fe(III){B(pz)(4)}(CN)(3)](-) and [Co(II)(bik)(2)(S)(2)](2+) affords the diamagnetic cyanide-bridged [Fe(II)(LS)Co(III)(LS)](2) molecular square which is converted into the corresponding magnetic [Fe(III)(LS)Co(II)(HS)](2) species under light irradiation at relatively low temperatures.

Structural and Magnetic Characterization of a μ-1,5-Dicyanamide-Bridged Iron Basic Carboxylate [Fe3O(O2C(CH3)3)6] 1D Chain

2008

We are reporting an unprecedented example of a mu-1,5-dicyanamide (dca)-bridged iron basic carboxylate, [Fe3O(O2C(CH3)3)6], 1D chain. As revealed from X-ray determination, the Fe3O cores are arranged in a zigzag configuration along the chain and strictly aligned in the same plane. The chains are well-isolated by the bulky tert-butyl groups. Magnetic measurements showed that the Fe3O units are weakly antiferromagnetically coupled (J = -0.6 cm(-1)) through the dca ligand while possessing a well-isolated S = 1/2 spin ground state arising from competing antiferromagnetic interactions.

Pertosylated polyaza[n](9,10)anthracenophanes

1997

Abstract Pertosylated polyaza[n](9,10)antracenophanes have been obtained in high yields by a modification of the Richman-Atkins methodology. Molecular Mechanics calculations as well as the crystal structure of the N,N′,N″,N‴-Tetratosyl-2,6,9,13-tetraaza[14](9,10)anthracenophane 4 derivative reveal the existence of a well defined cavity where both the aromatic moiety and the nitrogen donor atoms converge. Reduced mobility of the aliphatic chain is also observed as well as the presence of some strain at the benzylic positions.

Stereotype Threat Effect on a Simple Motor Task: An Investigation of the Visuo-Spatial Working Memory

2020

Purpose: Based on the Chalabaev et al. (2013) study showing that in a Stereotype Threat (ST) situation the velocity of force production in a simple motor task can be affected, this study aimed to r...

Oscillation of second-order neutral differential equations

2015

Author's version of an article in the journal: Funkcialaj Ekvacioj. Also available from the publisher at: http://www.math.kobe-u.ac.jp/~fe/

Higher order matrix differential equations with singular coefficient matrices

2015

In this article, the class of higher order linear matrix differential equations with constant coefficient matrices and stochastic process terms is studied. The coefficient of the highest order is considered to be singular; thus, rendering the response determination of such systems in a straightforward manner a difficult task. In this regard, the notion of the generalized inverse of a singular matrix is used for determining response statistics. Further, an application relevant to engineering dynamics problems is included.

On ordinary differential equations with interface conditions

1968

Combined dynamic response of primary and multiply connected cascaded secondary subsystems

1991

A method is proposed for the deterministic and stochastic non-stationary analysis of linear composite systems with cascaded secondary subsystems subjected to a seismic input. This method makes it possible to evaluate, by means of a unitary formulation, the deterministic and non-stationary stochastic response of both classically and non-classically damped subsystems and of secondary subsystems multiply supported on the primary one, as well as the ground. The proposed procedure is very efficient from a computational point of view, because of the Kronecker algebra systematically employed. Indeed, by using this algebra, it is possible to obtain in a very compact and elegant form the eigenproper…