Let c be a square-free positive integer and p prime satisfying $$p\not \mid c$$ . $$h(-c)$$ denote the class number of imaginary quadratic field $$\mathbb {Q}(\sqrt{-c})$$ In this paper, we consider Diophantine equation $$\begin{aligned}&cx^2+p^{2m}=4y^n,~~x,y\ge 1, m\ge 0, n\ge 3,\\&\quad \gcd (x,y)=1, (n,2h(-c))=1, \end{aligned}$$ describe all its solutions. Our main tool here is prominent re...

15N-Labeled ureido-4[1H]-pyrimidinones 4a and 5a were synthesized in order to investigate hydrogen bonding in the strongly hydrogen-bonded dimers in solution with intermolecular (2h)J(NN) coupling. Both direct-detection (15)N NMR and one-dimensional (15)N INADEQUATE (for smaller scalar coupling constants) were employed to determine the coupling constants. For dimers of 4 in CDCl(3), a temperatu...

The title compound, {[Co(C(14)H(16)N(5)O(3))(2)]·2H(2)O}(n) or [Co(ppa)(2)]·2H(2)O}(n), where ppa denotes the 8-ethyl-5-oxo-2-(piperazin-1-yl)-5,8-dihydro-pyrido[2,3-d]pyrimidine-6-carb-ox-yl-ate anion, was synthesized under hydro-thermal conditions. The Co(II) atom (site symmetry ) exhibits a distorted trans-CoN(2)O(4) octa-hedral geometry defined by two monodentate N-bonded and two bidentate ...

In the title compound, C(7)H(6)ClN(3)O(4)S(2)·3C(5)H(5)N, (systematic name: 6-chloro-2H-1,2,4-benzothia-diazine-7-sulfonamide 1,1-dioxide pyridine tris-olvate), chloro-thia-zide forms a 1:3 solvate with pyridine. The crystal structure is stabilized by strong inter-molecular N-H⋯N hydrogen bonds.

We report a detailed study of electrical and thermal transport properties in 2H-M$_x$TaS$_2$ (M = Mn, Co) magnets where M atoms are intercalated the van der Waals gap. The intercalation induces ferromagentism with an easy-plane anisotropy 2H-Mn$_x$TaS$_2$, but ferromagnetism strong uniaxial 2H-Co$_{0.22}$TaS$_2$, which finally evolves into three-dimensional antiferromagnetism 2H-Co$_{0.34}$TaS$...

The title compound, C(15)H(11)NO, consists of a planar isoquinolinone group to which a phenyl ring is attached in a twisted fashion [dihedral angle = 39.44 (4)°]. The crystal packing is dominated by inter-molecular N-H⋯O and C-H⋯O hydrogen bonds which define centrosymmetric dimeric entitities.

The amidine complexes cis-[L(2)PtNH==C(R){1-MeCy(-2H)}]NO(3) (R = Me, 1a; Ph, 1b, Me(3)C, 1c; Ph(2)(H)C, 1d) and cis-[L(2)PtNH==C(R){9-MeAd(-2H)}]NO(3) (R = Me, 2a; Ph, 2b; Me(3)C, 2c; Ph(2)(H)C, 2d), are formed when cis-[L(2)Pt(μ-OH)](2)(NO(3))(2) (L = PPh(3)) reacts with 1-methylcytosine (1-MeCy) and 9-methyladenine (9-MeAd) in solution of MeCN, PhCN, Me(3)CCN and Ph(2)(H)CCN. Reaction of 1a,...