We review the conventional field theory description of the string motivated technique. This technique is applied to the one-loop five-gluon amplitude. To evaluate the amplitude a general method for computing dimensionally regulated one-loop in-tegrals is outlined including results for one-loop integrals required for the pentagon diagram and beyond. Finally, two five-gluon helicity amplitudes ar...

We have studied the relative stabilities of Bingel-Hirsch non-IPR endohedral metallofullerene monoadducts having one, two, or three adjacent pentagon pairs. The most stable addition always leads to an open adduct and never occurs on [5,5] bonds. Our results show that the thermodynamics of the addition is governed by the additive local aromaticity of the rings of the final adducts.

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We review the conventional field theory description of the string motivated technique. This technique is applied to the one-loop five-gluon amplitude. To evaluate the amplitude a general method for computing dimensionally regulated one-loop in-tegrals is outlined including results for one-loop integrals required for the pentagon diagram and beyond. Finally, two five-gluon helicity amplitudes ar...

Employing a rigorous theoretical method for the construction of exact many-electron ground states we prove that interactions can be employed to tune a bare dispersive band structure such that it develops a flat band. Thereby, we show that pentagon-chain polymers with electron densities above half filling may be designed to become ferromagnetic or half metallic.

Real emission corrections to gg→H, which lead to H +2 jet events, are calculated at order αs. Contributions include top-quark triangles, boxes and pentagon diagrams and are evaluated analytically for arbitrary top mass mt. This new source of H +2 jet events is compared to the weak-boson fusion cross section for a range of Higgs boson masses. The heavy top-mass approximation appears to work well...

We provide new proofs of some known facts from geometry of pentagons and hexagons and prove some new facts and formulas concerning areas. We reprove the Gauss pentagon formula, the hexagon analogue and show some consequences. We also give a new proof of the Robbins area formula for cyclic pentagons (and hexagons). This proof is intrinsic.We also prove formulas relating area, circumradius and si...

A vector valued interpolation scheme for a pentagon is described which is compatible with surface patches which have a rectangular domain of definition. Such a scheme could be useful in computeraided geometric design problems, where a pentagonal patch occurs within a rectangular patch framework.

The six-component pentagon P1 with its five dynamic vertices was conceived on the basis of three different orthogonal metal complex units in a 1-fold completive self-sorting of four linear ligands and two metal ions without using directional bonding.

Density-functional theory calculations are presented for low-energy La@C₇₂, La@C₇₄ and La@C₇₆ isomers with IPR (isolated pentagon rule) and non-IPR cages. The relative isomeric production yields at high temperatures are evaluated using the calculated terms, and the relationships to observations are discussed.