The structure of the title compound, C(14)H(12)O(2), resembles those of phenyl benzoate and 4-methyl-phenyl benzoate, with similar bond parameters. The two aromatic rings make a dihedral angle of 76.0 (1)°. The plane of the central -C(=O)-O- group is twisted by 9.4 (2)° out of the plane of the benzoyl ring, and by 83.3 (1)° out of the plane of the phenyl ring. The crystal structure exhibits wea...

impact is one of the most important subjects which always have been considered in mechanical science. nature of impact is such that which makes its control a hard task. therefore it is required to adopt a safe and secure mechanism for transferring the impact to other vulnerable parts of a structure, when it is necessary. one of the best methods of absorbing impact energy is using thin-walled tu...

in this article, vehicle cornering stability and brake stabilization via bifurcation analysis has been investigated. in order to extract the governing equations of motion, a nonlinear four-wheeled vehicle model with two degrees of freedom has been developed. using the continuation software package matcont a stability analysis based on phase plane analysis and bifurcation of equilibrium is perfo...

The mol-ecule of the title compound, C(18)H(28)N(2), composed of two 2,5-dimethyl-pyrrole groups linked by a hexane chain, lies across a crystallographic inversion centre. The mean plane of the pyrrole ring is almost perpendicular to the mean plane of the central chain, making a dihedral angle of 89.09 (8)°. The crystal structure is stabilized by inter-molecular C-H⋯π inter-actions.

In the title compound, C(19)H(18)N(3) (+.)C(4)H(2)N(3)O(4) (-), the dihedral angles between the phenyl rings and the plane defined by the central guanidinium fragment are in the range 41.3 (1)-66.6 (1)°. The pyrimidine ring of the anion is distorted towards a boat conformation and the nitro group is rotated 11.4 (2)° out of the uracil plane. Hydrogen bonds assemble the ions in infinite helical ...

This extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size n is proved to have a limiting theta distribution, both in a central and local sense. Moderate as well as large deviations estimates are also derived. The proofs rely on the analysis (in the complex plane) of generating fun...

In the title compound, C(17)H(17)N(3)O(3), the 3-methoxy-benzalde-hyde group and the benzotriazole fragment are connected through a flexible oxypropyl chain. The O-C-C-C torsion angle in the central link is -63.9 (2)°, while the plane of the benzene ring of the 3-methoxy-benzaldehyde substituent forms a dihedral angle of 56.4 (4)° with the benzotriazole plane.

In the title compound, C16H14O, the cyclo-hexene ring has a half-chair conformation. The mean plane, calculated through all non-H atoms of the mol-ecule, except for the central CH2 atoms of the cyclo-hexene ring, which deviate by 0.340 (3) and -0.369 (3) Å from this mean plane, has an r.m.s. deviation of 0.012 Å. In the crystal, there are C-H⋯π contacts present, resulting in the formation of zi...

In the title compound, C(32)H(37)NO(3), the central dihydro-pyridine ring adopts a nearly planar flattened-boat conformation, whereas both cyclo-hexenone rings adopt half-chair conformations. The mean and maximum deviations from the mean plane of the dihydro-pyridine ring are 0.1252 (9) and 0.188 (1) Å, respectively. The 4-eth-oxy-phenyl and phenyl rings form dihedral angles of 75.20 (4) and 82...

In the title compound, C(26)H(28)O(2), the central atoms are coplanar, with the -CH(2)-CH(2)- links of the cyclo-hexene groups lying to either side of the plane and with the diall-yloxy residues twisted out of this plane [C-C-O-C torsion angles = 16.6 (3) and -13.9 (3)°]. In the crystal structure, mol-ecules are connected into chains propagating in [100] via C-H⋯π inter-actions.