Volume 2 - LENR-CANR

Moreover, we study the “nuclear environment” that is supposed existent within the palladium
lattice D2-loaded and at room temperature as predicted by the Coherence Theory. As a matter
of fact, some physicists declared that it is possible to observe traces of nuclear reactions [1,2,3]
when the palladium lattice is loaded with deuterium gas. For this reason many of these
physicists define that as a Low Energy Nuclear Reaction (LENR).
One of the most interesting experiments shows that in the D2-loaded palladium case the most
frequent nuclear reactions are:
3
1) D D
H p 4.
03MeV
4
2) D D
H p 23.
85MeV
The aim of our work is to propose a “coherence” model, by means of which we can explain
the occurrence of reactions 1) and 2) and their probability according to more reliable
experiments. First of all, we will start from the analysis of the environment, i.e. of plasmas
present within palladium (d-electron, s-electron, Pd-ions and D-ions); we will do so using the
coherence theory of matter. Then, we will use the effective potential reported in ref. [7,8] and
add the role of lattice perturbations, by means of which we will compute the D-D tunneling
probability.
2. The plasmas within non loaded palladium
According to the Coherence Theory of Condensed Matter, in a palladium crystal at room
temperature the electron shells are in a coherent regime within a coherent domain. In point of
fact, they oscillate in tune with a coherent e.m. field trapped in coherent domains.
So, in order to describe the lattice environment we must study the plasma of s-electron and delectron.
a) The plasma of d-electrons
Similar arguments were proposed by Preparata, but starting from a new formulation of
condensed matter theory known as Coherence Theory.
In this theory we can visualize the plasma formed by d-shell electrons as consisting of shells
charged nd e (for palladium nd =10) radius rd =1 Å and thickness a fraction of one Angstrom.
The classical plasma
d
n
e d
m
V
N
is d-electrons plasma frequency. But according to the coherence theory of matter we must
adjust this plasma frequency of a factor 1.38.
We can understand this correction by observing that the formula (26) is obtained assuming a
uniform d-electron charge distribution. But of course the d-electron plasma is localized in a
shell of radius R (that is about 1Å), so the geometrical contribution is:
6
1.
38
560
(26)
(27)