The ternary complexes 18C6-4H20 -2 H N ( S 0 2Ph)2 (3) and 18C 6-2H 20 2 H N ( S 0 2C6H44 F ) 2 (4) were obtained by co-crystallization of 18-crown-6 (18C6) with the appropriate di(arenesulfonyl)amine from aqueous solutions and characterized by low-temperature X-ray diffraction. The crystal structures consist of monomeric formula units displaying crystallographic C, symmetry for 3 (monoclinic, ...

OBJECTIVE When utilizing a single implant-supported crown to replace a central incisor, understanding the final shape of the implant restoration is an important factor to help achieve a successful esthetic outcome. In today's dentistry, tooth shape is a critical factor when dental implant prostheses are considered in the esthetic zone. The major esthetic goal for this type of restoration is to ...

In the title compound, C(6)H(7)ClN(+)·ClO(4) (-)·C(12)H(24)O(6), the cation forms a 1:1 complex with the crown ether, viz [C(6)H(7)ClN-(18-crown-6)](+), in which the -NH(3) (+) unit nests in the crown and inter-acts with it through bifurcated N-H⋯O hydrogen bonding. All constituents of the structure have crystallographically imposed mirror symmetry except for the H atoms of the -NH(3) (+) group...

In the title compound, C(7)H(10)N(+)·ClO(4) (-)·C(12)H(24)O(6), the 4-methyl-anilinium cation inter-acts with an 18-crown-6 mol-ecule forming a rotator-stator-like structure through bifurcated N-H⋯(O,O) hydrogen bonds between the ammonium group of the cation and the O atoms of the crown ether mol-ecule. All three components of the structure possess mirror symmetry. The benzene ring is inclined ...

The asymmetric unit of the title compound, [Rb2(P2S6)(C12H24O6)2]·2CH3CN, contains one half of an [Rb(18-crown-6)2]2[P2S6] unit and one aceto-nitrile solvent mol-ecule. The [Rb(18-crown-6)]2[P2S6] unit is completed by inversion symmetry. Its Rb(+) ion is situated near the centre of the macrocyclic cavity, but is displaced by 0.8972 (1) Å from the O atoms of the crown in the direction of the [P2...

In this paper, the Lie group analysis method is applied to the geometric average Asian option pricing equation in financial problems. Firstly, the complete Lie symmetry group and infinitesimal generators of this equation are derived. Then the optimal system with one parameter for the Lie symmetry algebra are obtained, which gives the possibility to describe a complete set of invariant solutions...

The compound [A([18]crown-6]2[Pt(CO)3] ⋅ 10 NH3 (A=K, Rb, [18]crown- 6=1,4,7,10,13,16-Hexaoxacyclooctadecane) containing the anion [Pt(CO)3]2− was unexpected result of a reaction between K6Rb6Ge17, Pt(CO)2(PPh3)2, [18]crown-6 and [2.2.2]-crypt. This represents first example mononuclear carbonyl platinate expands list known group metallates. central has trigonal planar shape with an approximate ...

The title complex, [Na(C(18)H(22)O(5))(H(2)O)](2)[Co(NCS)(4)], consists of two aqua-(2,3-naphtho-15-crown-5)sodium complex cations and one [Co(NCS)(4)](2-) complex anion, which has crystallographic symmetry. In the anion, the Co(II) centre is coordinated by the N atoms of four NCS(-) ligands in a distorted tetra-hedral geometry. In the complex cations, the Na(I) centre is coordinated by five O ...