Magnetic behavior of new compounds, Gd 3 RuSn 6 and Tb 3 RuSn 6

SYNTHESIS AND PHARMACOLOGICAL EVALUATION OF 6-CARBETHOXY-5-(3'-BROMOPHENYL)-3-ARYL-2-CYCLOHEXENONES AND 6-ARYL-4-(3'-BROMOPHENYL)-3-OXO-2,3A,4,5-TETRAHYDRO-2H-INDAZOLES

6-Carbethoxy-5-(3'-bromophenyl)-3-aryl-2-cyclohexenones 2a-j were obtained from the1-Aryl-3-(3'-bromophenyl)-2-propene-1-ones 1a-j by Micheal addition of ethyl acetoacetate, followed by internal Claisen condensation. Reaction of 2a-j with hydrazine hydrate afforded the corresponding 6-Aryl-4-(3'-bromophenyl)-3-oxo-2,3a,4,5-tetrahydro-2H-indazoles 3a-j. The structures of newly synthesized compou...

Lecture 6 : Markets 6 - 3 6 . 3 Price equilibrium

On the Diophantine Equation x^6+ky^3=z^6+kw^3

Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is n...

New class of ruthenium sulfide clusters: Ru(4)S(6)(PPh(3))(4), Ru(5)S(6)(PPh(3))(5), and Ru(6)S(8)(PPh(3))(6).

Reaction of RuCl(2)(PPh(3))(3) with S(2)(-) sources yields a family of phosphine-containing Ru-S clusters which have been characterized crystallographically and by MALDI-MS. Ru(4)S(6)(PPh(3))(4) (Ru-Ru(av) = 2.94 A) has idealized T(d)() symmetry whereas Ru(6)S(8)(PPh(3))(6) (Ru-Ru(av) = 2.82 A) adopts the idealized O(h)() symmetry characteristic of Chevrel clusters. Ru(5)S(6)(PPh(3))(5) is form...

Cove vol.6, no.3, October 2009