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Title:CALCULATIONS OF NUCLEAR REACTIONS PROBABILITY IN A CRYSTAL LATTICE OF LANTHANUM DEUTERIDE
DOI No:10.1142/9789812772985_0057
Source:CONDENSED MATTER NUCLEAR SCIENCE (pp 542-546)
Author(s):V. A. KIRKINSKII
Institute of Mineralogy and Petrography, Siberian Branch of the Russian Academy of Sciences, Prospect Academy Koptyuga 3, Novosibirsk 630090, Russia

YU. A. NOVIKOV
Institute of Mineralogy and Petrography, Siberian Branch of the Russian Academy of Sciences, Prospect Academy Koptyuga 3, Novosibirsk 630090, Russia

Abstract:The dynamic model of electron orbitals deformation was previously devised for palladium deuteride. It has now been applied to calculate the probability of nuclear reactions of hydrogen isotopes in the crystal lattice of lanthanum deuteride. In a series of computer simulations, the probability of D–D approach for random initial conditions was calculated, when the initial energies of the approaching deuterons were set in the range of 0.001–9.0 eV. For each experimental value of D–D approach the reaction rate was calculated on the shifted Coulomb potential with the shift energy, which equals to the energy of screening. The mean distance of D–D approach on the whole series equals 0.19 Å. More than 54% of all experimental values show an approach of deuterons at a distance smaller than 0.1 Å. The average reaction rate for the given set of the initial conditions is 103.28 s-1 per DD pair. This is three orders of magnitude less than the analogous rate calculated earlier for palladium deuteride. Allowing for the higher D content and the higher number of adjacent tetrahedral sites in LaD3 as compared with PdD0, 6, an overall nuclear fusion rate in lanthanum deuteride will be only slightly lower than in palladium deuteride, that is, 10-12-10-14 s-1 per DD pair.
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