Much discussion has occurred in the cold fusion (LENR) literature regarding the importance of achieving high D/Pd ratios, i.e. high D/ Pd loading ratios, in CF cathodes, and thus high hydrogen fugacity. Fugacity is similar to pressure in that it is a measure of the energy required to add an additional atom to the system. See:

http://en.wikipedia.org/wiki/Fugacity

Much work in the field has focused on the difficulty of achieving high fugacity because lattice imperfections exist, electrode metals fail, diffusion occurs into cracks, etc.

Some work has focused on the importance of superimposed electrostatic fields in or on cathodes, specifically that of S. Szpak, P. A. Mosier- Boss, F. E. Gordon. For early work see:

http://lenr-canr.org/acrobat/SzpakSprecursors.pdf

This work noted structural and morphological changes in electrode structure, dendritic growth, etc., in the presence of strong electrostatic fields. Based on this work I suggested a change in cell geometry to maximize field potential at the surface of the cathode, and active area of the cathode. See:

http://www.mtaonline.net/~hheffner/Szpak.pdf

Despite an intense focus on hydrogen fugacity, and some work related to superimposed electrostatic fields, no work has focused on electron fugacity. This is a complex area due to the quantum mechanical requirement for degenerate electrons to occupy ever higher energetic states when their density passes a critical value, and no conduction electron is free to "move". See:

http://en.wikipedia.org/wiki/Degenerate_matter

One aspect of achieving high loading coefficients is that free conduction band electrons, which are ionically bound to the adsorbed hydrogen in the lattice, are bound to a specific location when the adsorbed hydrogen reaches saturation and thus can no longer diffuse. In fact, one means of measuring cathode loading is to measure cathode conductivity. A key aspect of achieving high electron fugacity then, when no other means is applied or even known to be of use, is to achieve loading to the point no diffusion can occur. Cracked electrodes, lattice imperfections, unsealed exposed surfaces, and anything else that permits diffusion decreases electron fugacity.

Electron fugacity at the surface of a metal conductor can be increased by raising the potential of the metal. This increase of potential is synonymous with an increase in charge density. Free electrons migrate to the surface of a metal conductor - to a point. When saturation occurs, additional electrons are forced to occupy locations within the volume of the conductor. At very high potentials, orbitals of surface atoms deform out into the space beyond the normal surface.

If sufficient fugacity is achieved the addition of more electrons results in higher energy state of the electrons, not a higher temperature of the electron "gas". It is at this point fusion may possibly be catalysed. High electron energies, reduced deBroglie wavelength, permits electron catalysis of fusion. The 3 body tunneling reaction is energetically increased:

D+ + e- + D+ ---> He++ + e- + energy

D+ + e- + D+ ---> T+ + P + e- + energy

This involves the simultaneous 2 body tunneling of an electron and deuteron to the location of another deuteron. When the fugacity of both hydrogen and electrons reaches a critical point, addition of more energy to the lattice results in fusions. This is an energy focusing effect. An increase in the group energy state, i.e. group fugacity, results in a pressure outlet involving only a few members.

Note that the catalytic electron escape reduces the resultant nuclear temperature. The branching ratios from an electron catalyzed reaction will differ from those of a kinetic fusion reaction.

The surface electron fugacity of a cathode can be achieved by increasing the electrostatic potential of the cathode, and thus the electrostatic field at the cathode surface. It can also be increased by a bumpy or dendritic surface.

An alternative way, or more importantly an additional way, to increase the electric field strength at an electrode surface is to bounce a laser beam off of it at a high angle of deflection. Laser stimulation of a very high negative potential cathode surface may work in a gas environment, provided the surface outgassing is controlled by choice of a surface metal with a low hydrogen permeability and which sustains both a high hydrogen and high electron fugacity. Such a surface can be fed adsorbed hydrogen via a Pd backing.

Enough for now.

Horace Heffner
http://www.mtaonline.net/~hheffner/



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