the six-degree equations of flight in their classic form do not provide a proper physical perception due to a number of interferences. nor do they render visible the important role of attack angles. in this study, attempts have been made to develop a complete set of 3d acceleration equations from the equations of normal and tangential acceleration αn=vωv, αt=v ̇. for this purpose, a coordinate s...

In the title dinuclear Cu(II)-Lu(III) salen-type complex, [CuLu(C(22)H(24)N(2)O(4))(NO(3))(3)], with the ligand 6,6'-dimeth-oxy-2,2'-[cyclo-hexane-1,2-diylbis(nitrilo-methyl-idyne)]diphenolate, the irregular nine-coordinate Lu(III) coordination sphere comprises four O atoms from the ligand and five O atoms from three nitrate groups, two bidentate and one monodentate [Lu-O = 2.230 (3)-2.621 (4) ...

I present a way to visualize the concept of curved spacetime. The result is a curved surface with local coordinate systems (Minkowski Systems) living on it, giving the local directions of space and time. Relative to these systems, special relativity holds. The method can be used to visualize gravitational time dilation, the horizon of black holes, and cosmological models. The idea underlying th...

The title coordination compound, {[Co(C(11)H(15)O(3))(4)(C(10)H(8)N(2))(2)(H(2)O)]·7H(2)O}(n), consists of a pair of Co(II) atoms, four 3-hy-droxy-adamantane-1-carboxyl-ate anions (L), one water mol-ecule, two bridging 4,4'-bipyridine (4,4'-bpy) ligands and seven uncoordinated water mol-ecules. Both of the Co(II) ions are coordinated in a distorted octa-hedral geometry. Four L ligands bind to e...

In the polymeric title compound, [Cu(3)W(2)(CN)(16)(C(7)H(6)N(2))(6)(H(2)O)](n), the coordination geometry of the W(V) atom is eight-coordinate dodeca-hedral, where four CN groups of [W(CN)(8)] are bridged to Cu(II) ions, and the other four CN groups are not bridged. The coordination geometries of the Cu(II) ions are five-coordinate pseudo-square-based pyramidal. There are two distinct Cu sites...

BACKGROUND The use of different coordinate system definitions for the patella leads to difficulties in comparing kinematic results between studies. The purpose of this work was to establish the effect of using a range of coordinate system definitions to quantify patellar kinematics. Additionally, intra- and inter-investigator repeatabilities of the digitization of anatomic landmarks on the pate...

Structures of higher coordinate onium-boronium dications (X(+)BH(3)+ 1-4a and X(+)BH(5)+ 1-4d; X = NH(3), PH(3), H(2)O, and H(2)S) were calculated by using the ab initio method at the MP2/6-311+G** level. All of the dications 1-4a contain a four-coordinate boron atom with a three-center two-electron bond involving boron and two hydrogens. On the other hand, all the dications 1-4d contain a six-...