Deflation Fusion
Speculations Regarding the Nature of Cold Fusion
Horace Heffner                  October 17, 2007

Continued from Part 1 ....

ULTRA-HEAVY HYDROGEN ISOTOPES

The existence of hydrogen-4 to hydrogen-7 and possibly beyond, as well as helium-5 to helium-8, may shed some light on the intermediate states of some LENR processes.13 A deflation fusion of multiple electrons and two deuterons or more in a loaded lattice, possibly followed by a weak reaction, could produce these ultra-heavy hydrogen or helium nuclei as an intermediary state. The ability to shed four neutrons or more from a heavy hydrogen or helium intermediate state implies the ability of a quad-neutron to tunnel to a heavy nucleus in the lattice. This could explain various observed jumps of four in nucleon number of lattice elements in LENR experiments. Further, a deflated hydrogen state of an ultra heavy hydrogen may look like a clump of neutrons to the lattice atoms, and thus easily tunnel long distances to them because the tunneling is energetically neutral electrostatically speaking, and favorable magnetically.

It is notable that hydrogen diffusion occurs via tunneling the typical separation distance of the lattice metal nuclei, i.e. from one lattice site to an adjacent site. However, the typical distance between a hydrogen nucleus and lattice nucleus is half that. The tunneling rate of a deflated hydrogen nucleus into close proximity of a lattice metal nucleus is thus greater than to the same proximity of a hydrogen nucleus in an adjacent site. If the tunneling hydrogen nucleus is in the deflated state, i.e. neutral, its final destination is unaffected by the Coulomb barrier, only affected by its mass and the tunneling distance. The size of a nucleus is affected by nuclear structure and excitation state. We would thus expect deflated state tunneling to occur into lattice nuclei with greater probability until a low energy small nuclear structure is achieved. This feature may be of special use in deactivating nuclear waste. A typical final nuclear state should tend to consist of multiple alpha particle structures.

Because deflated state hydrogen has no net charge, the probability of deflated state hydrogen tunneling long distances is greatly increased. In D+D fusion in the lattice, the tunneling D is therefore most likely to not be in the deflated state, and the static hydrogen in the tunneled-to location where fusion occurs is therefore likely to be in the deflated state. For this reason D+D fusion can be more likely than low energy nuclear reactions with the lattice nuclei.

It has been noted that in some cases magnetic fields improve the success rate at producing LENR. This is highly consistent with the deflation fusion concept in that a magnetic force aligned between hydrogen locations and lattice atom locations provides a potential that greatly increases the probability of tunneling in the deflated state. However, it is most notable that it is not a magnetic field alone which should have an effect, it is a magnetic gradient that provides a magnetic force and thus an increased tunneling probability for deflated state nuclei. Attempts to produce magnetically enhanced LENR rates should thus attempt to optimize both the magnitude and direction of the magnetic gradient across the lattice, not just place a magnetic field through the lattice. It is especially noteworthy that powerful magnetic gradients can be induced within a lattice by use of coherent x-rays.


THE BACK SIDE CELL

The method of applying high electron fugacity to deuterium loaded cathodes has the objective of creating an energy focusing effect, forcing co-centered wave function collapse, resulting in deflation fusion. The objective is to create simultaneously a high deuteron fugacity and electron fugacity. Fugacity of a particle type in a given environment is similar to pressure in that it is a measure of the energy required to add one more such particle to that environment. It is of interest that as electron density increases, the fugacity of a given amount of loaded hydrogen decreases. Increasing electron fugacity increases the loading feasible with a given amount of electrolysis energy, though adding one particle of each increases the fugacity of both.

The application of extreme fields to the back side of a loaded cathode is one way to increase electron fugacity. That is to say a cathode can be loaded electrolytically from one side, the electrolyte side, and yet be a charged to millions of volts at the back side surface. The back side surface can interface to a vacuum, hydrogen gas, high pressure dry nitrogen, clear HV oil, glass, or any convenient highly transparent and sufficiently insulating medium on the high voltage back side of the cathode. Call this high voltage side of the cathode the cathode back side. The back side is the surface opposite the hydrogen loading surface. Call a cell having such a two sided cathode a back side cell. Such a cell may have two separate compartments in order to implement the independent surface loading or deloading potentials. Accomplishing this in a practical manner requires formation of a surface layer on the cathode back side surface which reduces the rate of hydrogen evolution from the back side. Such a layer could be an insulating oxide layer thin enough to support electron tunneling, but not excessive deuterium or helium tunneling, or could be a low diffusion rate metal thin film, like a gold or copper alloy.

A back side cell allows diffusion to occur through the cathode, the hydrogen coming in the front side and out the back side. The diffusion rate out the back side is controlled such that the hydrogen fugacity is maintained at an adequate level, while the diffusion rate is simultaneously maintained. Call this technique back side de-loading.

A high density of electrons at the cathode high voltage back side surface and just beneath the back side surface increases both the hydrogen final density and diffusion rate throughout the cathode, especially if it is thin. It also increases the probability of wave function collapse of surface deuterons due to Stark effect orbital stressing due to high electric field conditions at the cathode back side surface and immediate subsurface.

Application of a powerful magnetic field parallel to the cathode vacuum surface incrementally stresses the deuteron orbitals there via the Paschen-Back effect and the formation of Rydberg orbitals, which, in addition to destabilizing electron waveforms and reducing the discreteness of normal quantum effects, also increases the probability of electrons locating within the volume of the nucleus or experiencing simultaneous wave function collapse with and within it. A strong laser beam nearly parallel to but striking the cathode back side surface increases the above combined field effects dramatically.

An alternative arrangement is to orient the powerful magnetic field as normal to the cathode back side surface interface. In this case the laser beam effects are diluted somewhat due to being normal to the magnetic field, though the vector sum of the fields is still enhanced.


IONICALLY BOUND ELECTRONS AND PARTIAL ORBITALS

An adsorbed hydrogen nucleus, here for convenience simply called a deuteron, has an associated electron always very close by in the lattice. This electron and its associated deuteron are considered to be "ionically bound" in the lattice. When a deuteron is adsorbed at the face of the cathode, it is bound to a free conduction band electron already there in the cathode surface, an electron provided there by the electrolysis potential. This ionic bonding greatly restricts the bound electron's wave function. The adsorption of the deuteron also momentarily reduces the potential of the cathode, i.e. the electron fugacity of the cathode, and results in an electron current to the cathode from the power supply which restores it. Loading of the cathode requires current beyond that required for the electrolysis evolved gas. The cell current has to accommodate both the evolved gas plus adsorbed hydrogen.

The electrons ionically bound to adsorbed hydrogen are no longer fully conduction band electrons. Their wave functions are diminished in size. As loading completes, the conduction bands are frozen and conductivity diminishes. Cathode conductivity is in fact the measure commonly used to estimate loading, though loading percentage has been correlated with and confirmed by other methods, like neutron and x- ray scattering. The size and mobility of conduction band electron quantum waveforms in fully loaded cathodes is unusually small, compared to ordinary conductors, due to the high deuteron density.

In a fully loaded lattice the ionically bound electron has no room for a full orbital about the deuteron. The ionically bound electron occupies what has been characterized as a "partial orbital", or “confined orbital”, where the probability of conduction band existence and orbital existence is split. The application of extreme magnetic fields, which in ordinary atoms produce fuzzy non-quantum like electron existences at extreme ranges from the nucleus, may do the opposite for partial orbital electrons. These extreme orbitals in ordinary hydrogen with increased quantum numbers due to excitement and extreme magnetic fields are called Rydberg orbitals. The probability of orbital electrons being in or near the nucleus increases dramatically for Rydberg orbitals. Similar effects exist for strong electrostatic fields.

In the case of partial orbitals, where the conduction band existence is energetically suppressed, the close-to-the-deuteron portion of the wave function takes on increased probability, increasing the probability of wave function collapse onto or with the deuteron. Electron-nucleus interaction probabilities are increased by the increase in the near nucleus electron density. This premise may sound far fetched, but the chemical-nuclear relationship is no longer easily dismissed because it has been firmly established with regard to electron capture. 14 A nearly one percent difference in half life occurs simply due to the difference between electron wave functions for 7Be atoms inside C60 instead of Be metal. Further, the half life for 7Be atoms inside C60 was found to decrease upon cooling, and this was correlated to electron density at the Be nucleus.15

When loading reaches a 1-1 ratio of deuterium to metal, and essentially all lattice sites are deuteron filled, additional loading requires that some lattice sites contain two or more deuterons. Multiply occupied sites actually occur well before 1-1 loading is achieved. These sites therefor also contain within them much more dense wave functions of the partial orbitals of the ionically bound electrons. In these sites a 2 way or 3 way tunneling event becomes likely, resulting in a 3 way or 4 way wave function collapse.


USE OF A CALCIUM OXIDE BARRIER

The cathode high voltage back side, either in gas back side mode, or dielectric back side mode, can be coated with a layer of calcium oxide (CaO) to provide the much needed diffusion barrier. Evidence for this application is provided by Iwamura's work,16 17 which can be interpreted to show that a thin diffusion barrier is effective at building hydrogen fugacity and thus deflation fusion. There are numerous references to Iwamura at lenr-canr.org.

Hydrogen diffusion in Pd is almost entirely by tunneling. When diffusing through a CaO barrier, toward the back side, the deuteron leaves behind an electron on the front side, which can simultaneously tunnel across the same barrier, or not. When an electron is left behind on the front side of the barrier, the deuteron would have had to have found a matching electron on the back side of the barrier to make that tunneling event favorable. (Alternatively the deuteron- electron pair could have tunneled while in the deflated hydrogen state, but this state has low probability normally. ) This suddenly unveiled electron on the (high hydrogen fugacity) front side then starts a chain of deuteron tunneling events on the backed up high pressure front side of the barrier, progressing away from the barrier toward the front of the cathode, and such tunneling events are the stuff of which deflation fusion is made. Increasing the probability of tunneling by this method greatly increases the probability of dual deuteron tunneling, and thus deflation fusion. The tunneling process in this case is always toward the location of a catalyzing electron left behind in a vacant site. This process is clearly made far more likely in general by providing a source of electrons on the back side of the barrier to initiate the tunneling chains on the front side.


BACKSIDE DE-LOADING ISSUES

Backside de-loading is a method which has good rationale within the deflation fusion model. It permits continued high tunneling rates even after high loading is achieved. The problem then is to achieve the backside de-loading in a practical way.

The key is establishing a backside diffusion barrier, and using the right cross-barrier potential in order to match the de-loading and loading rates so as to sustain high hydrogen fugacity. It is also an objective to provide a high electron charge density immediately opposite the de-loading barrier. One means of increasing charge density is to increase field strength by using a high dielectric strength material opposite the barrier. One means of suppressing hydrogen diffusion is to make the potential of the back side surface extremely negative, thus making escape of positive hydrogen nuclei more suppressed. A highly negative cathode back side provides potentially catalytic excess electrons in the conduction bands located between de-loading hydrogen nuclei in adjacent cells. Simultaneously de-loading nuclei thus have a high probability of electron catalyzed fusion in a lateral direction across the electrode surface because there is an optimized probability of a catalyzing electron between the tunneling pair. The potential of the back side can be raised to an almost arbitrarily high negative value by use of high dielectric strength very low conductivity dipole liquids on the back side.

Now for a differing approach to back side de-loading. One way to achieve many of these objectives is to make the back side an anode immersed in water. See Figure 4. The water acts as the dielectric. The field strength across the two layer anode-water interface is well over 106 V/m even at a few volts electrolysis potential.

The anodic diffusion barrier can be deposited and even maintained or healed by anodization. 18 The target for hydrogen tunneling then is OH- molecules in the interphase, and any free electrons that might be ionized off them and attached to the anodized barrier. De-loading hydrogen nuclei in adjacent cells then have a comparatively high probability of fusion in a direction lateral to the anode surface due to surface electron catalysis.

One problem with this approach is keeping the electrons from tunneling across the backside barrier to the hydrogen instead of the hydrogen tunneling through the back side barrier to the electrons. The down side to electron tunneling through the backside barrier is (1) deflation fusion is accomplished best by simultaneous deuteron tunneling to an electron and (2) fusion on the front side of the barrier will cause disruption of the lattice, destruction of the barrier, and possible helium blockage.

Preventing the above problems should be possible by energetically denying them by driving front side electrolysis at a much higher voltage once loading is complete. This can best be accomplished using a coordinated pulsed mode. Operating with a superimposed pulse, applied simultaneously on both the front and back side potentials, to trigger hydrogen barrier tunneling, is efficient because it gives the lattice time to diffuse replacement hydrogen, backside gas a chance to dissipate, and the interphase to recover, while providing maximum fugacity during the pulse.

An alternative, on the back side, is to use pulsed AC on top of a DC trickle current used to sustain the anodized layer. Very high frequency high voltage AC intervals with low duty cycles, on the back side, would cause tunneling directions across the backside of the barrier to switch directions, alternating many times per volume diffused, and thereby increasing fusion prospects per diffused atom. It also increases the probability of OH- de-ionization, loosing free electrons to attach to the backside diffusion barrier.

High voltage AC and DC has been used by the author to anodize aluminum and zirconium electrodes with a barrier driven at over 1000 V.19 Such a surface barrier tends to self maintain even when used with AC electrolysis. Such a barrier permits the use of very high positive and/or negative potentials that may be of use in generating high electron fugacities at the back side when the back side is in the high voltage cathode phase of the cycle. The negative potential of the back side can increase to a substantial amount, i.e. the point where the substantial barrier can be tunneled by the electrons. The surface layer of the electrode metal thus contains a large electron density in an extreme fugacity condition. Further, due to the use of AC, hydrogen tunneling is ongoing in the lattice, in directions that alternate with the AC current flow. Hydrogen tunneling rates can be further enhanced by application of lateral currents through the electrode. This is an ideal environment for deflation fusion to occur, a high tunneling rate high fugacity excess electron environment.


FUSION OUTSIDE THE LATTICE

The high probability of a deflated hydrogen state indicates that back side de-loading into any hydrogen dense, high field environment, where the back side is positive, an anode, should generate fusion between the de-loading hydrogen and some of the deflated state hydrogen adjacent to the de-loading back side anode. Though water or a very weak electrolyte should work to some limited degree, a non- conducting back side liquid might be best for this purpose, a hydrogen rich liquid like anhydrous ammonia or benzene might be ideal, possibly augmented by a porous high dielectric constant field concentrating solid dielectric layer. The high field strength increases the probability of de-loading hydrogen atoms making it to deflated state hydrogen in the liquid. A back side surface barrier assists this process by increasing hydrogen fugacity in the lattice and by forcing back side de-loading to occur by a hydrogen tunneling process, with some enhanced probability of being in the deflated state, into the liquid layer adjacent to the anode surface, which is hydrogen rich, and thus has a high probability of containing hydrogen in a deflated state. Key to making this work is establishment of an extreme field on the back side electrode surface. The structure of water near a high voltage anode and possible mechanisms for energy generation therefrom has been described by the author.20 Though possible excess heat has been observed, this environment has not been tested by the author in a back side de-loading mode. It is especially noteworthy that coherent laser light applied normal to a high voltage back side anode should be effective in creating liquid mode deflation fusion due to the unusually close proximity of stressed orbital hydrogen in OH and H2O molecules in the electrolyte at the anode surface.


THERMAL CYCLING AND HIGH TEMPERATURE ALLOYS

A powerful means of orbital stressing is cooling a loaded lattice. The lattice contracts and applies enormous pressure on the loaded hydrogen atoms. This approach to orbital stressing has limited utility for electrolysis loaded cells. However, it may be of great utility when applied to high temperature cells, which are better suited for high efficiency energy generation. Operating in high temperature gas mode opens up a vast set of possible cathode materials which are of no use at ordinary electrolysis temperatures.

Work in hot gas phase loading of metal cathodes in the presence of an electric discharge was achieved, even early on, by Claytor et al. 21 22 23 Some alloys were found to be more effective than others at producing tritium. What is suggested by the deflation fusion mechanism is that the critical ingredients should be: adsorbed hydrogen partial orbital stressing, high electron and hydrogen fugacity, high hydrogen concentration, all combined with as high a diffusion rate as possible. Provided all these ingredients can be brought together, the elements in the lattice should be of secondary importance - though without a proper choice of alloy and temperature operating profile, these critical ingredients are in fact not possible. What the deflation fusion model brings to the table is a basis on which to design or select alloys for testing, as well as an emphasis on temperature control and cycling. It also suggests some basic materials science investigations of hydrogen loading characteristics and tolerance of various alloys over a high range of temperatures. High hydrogen loading density and avoidance of embrittlement, or at least achieving fast annealing, are key requirements.

High temperature hydrogen adsorption is feasible using high strength alloys of iron, tungsten, molybdenum, and other metals which are incapable of adsorption at room temperature. Excess heat and nuclear reactions have been observed in gas loaded nickel alloys at high temperatures by Focardi et al, even using ordinary hydrogen. 24 25 LiNi5 lanthanum-nickel, LaNi4.5Co0.5, and mischmetal nickel alloy have been suggested.26 Another candidate for hot loading might be LixByMgz.27 Hot operating alloys can be designed to maximize bond strength, annealing ability, operating temperature range, and hydrogen loading as well as helium de-loading characteristics in a controlled temperature range cycling profile.

This is the probable path for practical cold fusion development - use of hot temperature-cycled cathodes. This path has the obvious advantage of a large Carnot efficiency.

High temperature cells are loaded in gas phase, by high voltage DC with a high voltage high frequency signal, or microwaves, applied as well for ionization purposes. The lattice temperature is cycled from hot, for loading, to less hot, for high stressing heat generation. Before returning to the hot loading phase, various temperature cycles might be used to facilitate helium de-loading, and annealing of cracks, as was achieved by Claytor et al.

A simple version of this cell type could merely consist of a hot wire used as a cathode for gas phase loading and thermal cycling. Nichrome wire is readily available and may provide the needed characteristics. Control circuitry would be required to prevent cascade driven current runaways due to the high electron emission from a hot cathode. A higher DC voltage can be used in the reduced temperature hydrogen compressing phase. Using a cell designed to accomodate a liquid cathode material, and a readily melted lattice material, the lattice material could be fully melted between some thermal cycles in order to remove helium and restore the lattice.28

A through-cathode current can be used to simultaneously achieve DC loading while applying AC to the lattice to increase tunneling rates. A low duty cycle through-electrode pulse is of use in the compression phase to promote high diffusion rates while avoiding overheating the electrode. The through-electrode AC capability also has use for heating the lattice for annealing, loading, or other purposes. High pressure hydrogen or high voltage gas loading or a combination can be used. The source of heat for annealing or melting can be through the ceramic compartment walls instead of supplied by electrodes.


SUMMARY

A new partial state of existence of hydrogen, a small neutral state, the deflated hydrogen state has been defined. The deflated hydrogen state is a very small and ghostlike neutral charge alternate existence for the nucleus with attosecond magnitude duration. There is evidence for an astronomical effective frequency of occurrence of the deflated hydrogen state, even when the hydrogen nucleus is in a molecular site. This state can be thought of as (1) providing a tunneling target for hydrogen otherwise diffusing through the lattice, and (2) having its own probability of tunneling as a combined electron-nucleus body. The fact the deflated state entity is neutral greatly affects the probability of a given tunneling outcome in the vicinity being within fusion range. This significantly reduces the width of the Coulomb barrier - and in fact momentarily makes it disappear, makes it irrelevant. This enormously increases the probability of a fusion event. Further, the existence of the deflated hydrogen state helps explain the unusual branching ratios and ash produced by cold fusion experiments.

The very brief existence of the deflated state explains why kinetically induced fusion can not make use of the Coulomb barrier being down , because there is insufficient time for a motional approach of the nuclei before the barrier is back up.

A hydrogen nucleus diffusing through a lattice does so by tunneling from its occupied site to a vacant site. Tunneling to an adjacent unoccupied site is energetically favorable for a hydrogen occupying a site adjacent to multiple occupied sites, i.e. in a high fugacity environment. An adjacent site occupied by a deflated state hydrogen nucleus provides a tunneling opportunity for a hydrogen nucleus because the deflated state is neutral and thus the Coulomb barrier is down, at least with some probability. If the tunneling event occurs, but not to a locus close enough to cause fusion, which is not possible when the Coulomb barrier is up, then when the deflated nucleus is unveiled by electron departure, the hydrogen tunneling event can be reversed, or otherwise the tunneling chain of events can be moved forward to a lower fugacity site. In a fully loaded environment, a momentarily unoccupied cell will have multiple candidates likely to tunnel simultaneously into it. If one or more of the tunneling candidates tunnel in deflated state, or if the cell is not actually unoccupied but merely occupied by a deflated state nucleus (such a cell appears to the neighboring nuclei as unoccupied), then deflation fusion opportunities are maximal, even for multi-body events.

The deflation fusion model provides a set of principles for increasing fusion likelihood: (1) maximize the combined hydrogen fugacity and diffusion rate because neither is especially useful without the other, (2) maximize orbital stress to increase the probability of the deflated hydrogen state, (3) maximize the magnetic gradient along an axis chosen to optimize either LENR or CF, and (4) maximize electron fugacity in order to increase the electron quantum states, i.e. aggregate electron energies, and thus further objectives (1) and (2) as well as provide an energy focusing effect. It further appears providing periodic barriers to conduction band electrons, but through which hydrogen readily diffuses, increases LENR probability.

The backside de-loading scheme, defined in various forms29 , was designed to achieve multiple of the above objectives simultaneously. Cycling through high temperature loading and lattice readjustment by diffusion, cooling to some extent to compress the lattice, and then driving diffusion by through-lattice current, is also designed to especially achieve objective (2), while increasing thermodynamic efficiency and providing a broader choice of lattice materials. Engineering high electrical resistance of the hot lattice, combined with a strong through-lattice-current driven diffusion then fulfills various objectives. Inclusion of non-conducting hydrogen diffusion tunneling barriers in the lattice increases the probability of deflated state tunneling, and thus fusion. These are the principal techniques immediately suggested by the existence of the deflated hydrogen state, and thus of deflation fusion.

The explanations of deflation fusion here are mostly expressed in a serialized form, so as to be understandable. It may well be that in reality these things only exist as potentialities, amplitudes which result in final outcomes with some probability based on simultaneous multiple complex inputs. A stepwise process model gives us a comfortable means of understanding that which is otherwise complex to comprehend or describe.

References and rich text version at:

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


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

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