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Volume 2 - LENR-CANR

Volume 2 - LENR-CANR

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Since the screening effect [1] can be modulated by the giver atoms, in reference [7,8] we<br />

<br />

have considered the role of impurities and we came to the following: J J 0 exp<br />

.<br />

bkT<br />

<br />

Furthermore, some particular reactions could occur, incorporating the impurities in the<br />

nucleus of the dislocations. This may happen as a result of a different arrangement of the<br />

atoms, with respect to that of the unperturbed lattice.<br />

This type of process has been extensively studied in the literature concerning metals and the<br />

case of crystalline semiconductors at high temperature.<br />

As an example, in the case of crystalline semiconductors it has been found that the<br />

concentration of interstitial impurities around a linear dislocation with a point component<br />

depends on the temperature, as shown by the law written above where J 0 is the concentration<br />

of impurities in the zone with zero internal pressure, (b 3 vi) is the volume of the ions<br />

constituting the lattice, while is proportional to the difference (vd - vi) between the volume of<br />

the impurity atoms and that of the lattice ions.<br />

Our conjecture is that in a metal, such as palladium, a similar phenomenon could occur<br />

between the atoms of deuterium penetrating the lattice. This would be a result of the deuterium<br />

loading and of the microcracks produced by variations in temperature. In this case, the<br />

parameter of the previous expression would be negative, determining an increase in the<br />

concentration of deuterons in the vicinity of the micro-crack, which would then catalyse the<br />

phenomenon of fusion as:<br />

=JKTR (39)<br />

and<br />

B=J/ <br />

So we can write the effective d-d potential as follows:<br />

2<br />

q JKTR <br />

( r)<br />

k0<br />

V r (41)<br />

r r <br />

V M<br />

where V r M is the Morse potential, k 0 (<br />

1/<br />

4<br />

0 ) , q is the charge of the deuteron, M d is the<br />

reduced mass of the deuterium nuclei, T is the absolute temperature at which the metal is<br />

experimentally placed, J is the concentration of impurities in the crystalline lattice and R is the<br />

nuclear radius.<br />

565

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