Calculations of Nuclear Reaction Probabilities in a Crystal Lattice of Titanium Deuteride

Physics – Condensed Matter

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Scientific paper

For calculations of probability of nuclear reactions of hydrogen isotopes in the crystal lattice of titanium deuteride the model offered earlier for palladium deuteride was used. In a series of experiments the probability of D-D approach for random initial conditions was calculated, when initial energies of approaching deuterons were set in the range of energies 0.01-0.51 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 all series equals 0.97 Å, that exceeds the mean distance in a molecule D-D. However, more than 14% of all experimental values show an approach of deuterons for a distance less than 0.1 Å. The general reaction rate for the given set of the initial conditions will make 101.91 DD-1 s-1. It is four orders of magnitude less than the analogous rate calculated earlier for palladium deuteride. For optimization of calculations the most favorable initial conditions were selected. As a result the rate of the reaction calculated according to the above model should be additionally multiplied by a correction factor, which allows for the probability of the occurrence of these favorable conditions. In our case it equals 10-16 to 10-18 the rate of the nuclear fusion reaction of deuterons in titanium deuteride should be three to four orders lower, than the earlier calculated rate for palladium deuteride and equals 10-14 to 10-16 DD-1 s-1.

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