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Calculation of the Coulomb Fission Cross Sections for Pb-Pb and Bi-Pb Interactions at 158 A GeV

The Weizsacker-Williams (WW) method of virtual quanta is used to make approximate cross section calculations for peripheral relativistic heavy-ion collisions. We calculated the Coulomb fission cross sections for projectile ions of Pb-208 and Bi-209 with energies of 158 A GeV interacting with a Pb-208 target. We also calculated the electromagnetic absorption cross section for Pb-208 ion interacting as described. For comparison we use both the full WW method and a standard approximate WW method. The approximate WW method in larger cross sections compared to the more accurate full WW method.

Poyser, William J.↗

Materials Data on BiPb4 by Materials Project

Pb4Bi crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Pb sites. In the first Pb site, Pb is bonded to three equivalent Pb and three equivalent Bi atoms to form distorted PbBi3Pb3 cuboctahedra that share corners with six equivalent BiBi6Pb6 cuboctahedra, corners with twelve PbBi3Pb3 cuboctahedra, edges with six equivalent BiBi6Pb6 cuboctahedra, and edges with eighteen PbBi3Pb3 cuboctahedra. All Pb–Pb bond lengths are 3.55 Å. All Pb–Bi bond lengths are 3.52 Å. In the second Pb site, Pb is bonded to twelve Pb atoms to form PbPb12 cuboctahedra that share corners with three equivalent BiBi6Pb6 cuboctahedra, corners with fifteen PbBi3Pb3 cuboctahedra, edges with three equivalent BiBi6Pb6 cuboctahedra, edges with twenty-one PbBi3Pb3 cuboctahedra, and faces with twelve equivalent PbPb12 cuboctahedra. There are three shorter (3.53 Å) and six longer (3.59 Å) Pb–Pb bond lengths. Bi is bonded to six equivalent Pb and six equivalent Bi atoms to form distorted BiBi6Pb6 cuboctahedra that share corners with six equivalent BiBi6Pb6 cuboctahedra, corners with eighteen PbBi3Pb3 cuboctahedra, edges with six equivalent BiBi6Pb6 cuboctahedra, edges with eighteen PbBi3Pb3 cuboctahedra, and faces with six equivalent BiBi6Pb6 cuboctahedra. All Bi–Bi bond lengths are 3.59 Å.

36 MATERIALS SCIENCE↗

Materials Data on BiPb by Materials Project

Bi(Pb) is beta-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. Pb is bonded to six equivalent Pb and six equivalent Bi atoms to form PbBi6Pb6 cuboctahedra that share corners with eighteen equivalent PbBi6Pb6 cuboctahedra, edges with six equivalent PbBi6Pb6 cuboctahedra, edges with twelve equivalent BiBi6Pb6 cuboctahedra, faces with eight equivalent PbBi6Pb6 cuboctahedra, and faces with twelve equivalent BiBi6Pb6 cuboctahedra. All Pb–Pb bond lengths are 3.52 Å. All Pb–Bi bond lengths are 3.61 Å. Bi is bonded to six equivalent Pb and six equivalent Bi atoms to form BiBi6Pb6 cuboctahedra that share corners with eighteen equivalent BiBi6Pb6 cuboctahedra, edges with six equivalent BiBi6Pb6 cuboctahedra, edges with twelve equivalent PbBi6Pb6 cuboctahedra, faces with eight equivalent BiBi6Pb6 cuboctahedra, and faces with twelve equivalent PbBi6Pb6 cuboctahedra. All Bi–Bi bond lengths are 3.52 Å.

36 MATERIALS SCIENCE↗

Materials Data on Bi3Pb by Materials Project

PbBi3 is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Pb is bonded in a body-centered cubic geometry to eight equivalent Bi atoms. All Pb–Bi bond lengths are 3.45 Å. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded in a body-centered cubic geometry to four equivalent Pb and four equivalent Bi atoms. All Bi–Bi bond lengths are 3.45 Å. In the second Bi site, Bi is bonded in a body-centered cubic geometry to eight equivalent Bi atoms.

36 MATERIALS SCIENCE↗