A. Girand has constructed an explicit two-parameter family of flat connections over the complex projective plane ℙ 2 . These have dihedral monodromy and their polar locus is a prescribed quintic composed conic three tangent lines. In this paper, we give generalization construction. That is, construct n-parameter space n Moreover, discuss relation between these Garnier system.

In the title compound, C(30)H(20)N(2), the anthracene ring system is approximately planar [maximum deviation = 0.035 (2) Å] and is nearly perpendicular to the central pyridine ring, making a dihedral angle of 75.73 (7)°. The terminal pyridine ring and the phenyl ring are oriented at dihedral angles of 8.11 (10) and 13.22 (10)°, respectively, to the central pyridine ring.

In the title compound, C(22)H(16)N(2)O(6)S(2), the dihedral angle formed by the mean planes of the two benzene rings of the 4-methyl-phenyl-sulfonate groups is 21.9 (1)° and these rings form dihedral angles of 48.26 (9) and 52.73 (9)° with the central benzene ring.

The potential energy curves (PEC) of 2 Chalcone (E)-3-(Furan-2-yl)-1-Phenylprop-2-en-1-one (1) were calculated as a function dihedral angle φ(C8-C9-C10-O1) at both ab initio Hartree–Fock (HF) and Density Functional Theory (DFT) using the B3LYP functional together with 6-311++G (d,p) basis set syn- anti-conformers corresponding low conformers determined. optimized molecular structures, vibration...

New Schiff-base compound (E)-4-methoxy-N-(4-hydroxybenzylidene) aniline has been synthesized from the reaction of 4-hydroxybenzaldehyde with 4-methoxyaniline in methanol at 50ºC, and has been characterized by using elemental analysis and FT-IR spectroscopy. The crystal structure of the title compound has been determined by single crystal X-ray diffraction study. The title compound crystallizes ...

In the present work, the sensitivity to the moisture (hygroscopisity) is studied for 3,4-dinitropyrazole (DNP) as a famous energetic molecule. All of the DNP-H2O complex systems (1-3) as well as individual molecules were optimized and bond lengths, bond angles, dihedral angles, charge transfer and stability via NBO analysis, corrected interaction energies with ZPE + BSSE and hydrogen bonds anal...

In the title hydroxy-urea derivative, C(15)H(14)F(2)N(2)O(2), the dihedral angle between the two benzene rings is 48.64 (19)°. The urea group forms dihedral angles of 48.1 (2) and 79.2 (2)° with the two benzene rings. In the crystal, inversion dimers linked by pairs of N-H⋯O hydrogen bonds occur, and further N-H⋯O links lead to chains of molecules.

In the title mol-ecular salt, C(9)H(9)N(2) (+)·C(2)HO(4) (-), the dihedral angle between the aromatic rings of the cation is 17.5 (3)° and the dihedral angle between the -CO(2)H and -CO(2) groups of the anion is 38.6 (2)°. In the crystal, the components inter-act by way of O-H⋯O and N-H⋯O hydrogen bonds.

In this paper we define S algebras and show that every finite group can be found in some S algebra.  We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.

In the title mol-ecule, C(30)H(23)N(5)O(3)S, the 1,2,4-triazole ring is approximately planar (r.m.s. deviation = 0.006 Å), and forms dihedral angles of 66.0 (2), 65.1 (2), 30.1 (2) and 28.1 (2)° with the four phenyl rings. The phenyl ring of the benzyl group directly attached to the triazole ring is almost perpendicular to the nitro-phenyl ring, making a dihedral angle of 84.9 (2)°.