ISIS Report 10/12/08
Portable and Distributed Power Generation from LENRs
Power output of LENR-based systems could be scaled up to address many
different commercial applications
Lewis Larsen
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Total output of LENR-based power generation systems highly scalable
Low Energy Nuclear Reactions (LENRs) have a unique ability
to generate enormous amounts of nuclear heat from specific types of very small
surface hot spots up to tens of microns in diameter [1]. By controlling the
distribution of sizes, initial composition, and area-density of nanomaterials
that support the formation of such hot spots,
LENRs could be scaled up in terms of total heat output.
In principle, LENR heat sources could
be designed and engineered to create any desired power output and/or system
working temperature, short of melting key structural components that maintain the system’s physical integrity, or otherwise overloading
its thermal management capabilities. They could provide a clean, green source
of carbon-free energy for use in a multitude of important commercial applications.
Potential energy yield from LENR fuels several thousand times larger than
burning gasoline
The calculation of energy yield for a prospective LENR target
fuel is straightforward. It involves two steps: (1) deciding which ‘base fuel’ (hydrogen or deuterium) to use for producing LENR
neutrons that can then react with a prospective target fuel, this choice determining the
energy ‘cost’ of the necessary neutrons; and (2)
calculating the nuclear energy released by a particular target fuel when it
subsequently absorbs (captures) the neutron(s).
It 'costs' a minimum of 0.78 MeV of input energy to make a heavy-mass electron (e*) that
has enough additional effective mass-energy to successfully
react with a given 'base fuel' such as hydrogen H = (p) or deuterium D = (p,n)
to produce the ultra low momentum (ULM) neutrons
(n). The required input energy that is ‘pumped’
into the collective
plasmon polariton electrons found on all metallic hydride surfaces can be
in the form of an externally imposed electric current, laser pulse,
injection of energy into a local magnetic field, pressure gradient
across a metallic hydride ‘membrane’, and so on.
The minimum input energy ‘cost’ to make a heavy electron
(e*), is exactly the same, 0.78 MeV, regardless of whether H or D is used.
While D is a much more expensive ‘base fuel’ than is ordinary hydrogen, it
is still an attractive option for many commercial LENR applications because
it produces two LENR ULM neutrons for the input energy ‘cost’ of one [2], so the cost per ULM neutron
is just 0.39 MeV for D instead of 0.78 MeV for H.
If, upon absorption of neutron(s) by a given target
fuel atom, subsequent reactions release somewhat more (losses to neutrinos
must be factored in) than 0.78 MeV (using H) or 0.39
MeV (using D) per neutron absorbed, then the LENR
fuel burn-up process exceeds breakeven; i.e., you are then ahead of the game,
at least as far as the
overall energetics is concerned.
The energy range of individual beta decays extends from keVs up to ~20 MeV
for certain neutron-rich isotopes [3]; many potential LENR target fuel beta
decay processes are well-above the breakeven point. The multi-step LENR reaction
series outlined in our 2006 paper [2] (see LENRs
for Nuclear Waste Disposal [4], SiS 41) actually has one step that
involves the perfectly symmetric fission of a very light nucleus, beryllium-8
(half-life 10-18 second) into two helium-4 atoms
without producing any high-energy gamma or neutron emissions. That particular
LENR reaction series starting with lithium-6 releases a total energy of ~ 27
MeV, which is roughly comparable to the amount of energy released by nuclear
fusion reactions. By itself, the lithium-8 beta decay step releases ~ 16 MeV
[2]. While such energy releases are several thousand times more powerful
than 100 percent efficient chemical combustion of gasoline, they are nonetheless
green, as they do not produce carbon dioxide, long-lived highly radioactive
products, or ‘hard’ gamma and/or X-ray photon radiation.
Widom-Larsen theory successfully predicts experimentally measured LENR rates
In numerous experiments involving well-performing
Pons-Fleishmann-type electrolytic cells (with either light or heavy water) [5]
(see From Cold Fusion
to Condensed Matter Nuclear Science, SiS
36), LENR production rates on the order of 1 x 1011
to as high as 1 x 1016/second have been measured with reasonable
precision. These values for reaction rates hold true whether the LENR transmutation
products are in the form of helium-4, or the complex arrays of different-mass
isotopic products such as those found in the experiments of Miley and Mizuno
[6-9].
Most cathodes in such experiments had working surface areas
of roughly a centimeter or two; nearly all of them had significant amounts
of lithium present in the electrolyte. According to the Widom-Larsen theory,
neutrons are required to trigger the subsequent nuclear
reactions capable of producing such transmutation
products; therefore ULM neutron
production rates had to be greater than or at least equal to the observed
LENR product production rates in those experimental systems.
Importantly, we performed a difficult first principles theoretical
calculation of predicted LENR ULM neutron production rates [1] for (effectively)
a cathode in an electrolytic cell. We predicted neutron production rates
of the order of 1012 to 1014/cm2/second;
these calculated rates matched the best available experimental LENR
rates.
Hypothetical energy releases from a small LENR device using a lithium-6 reaction
To illustrate the tremendous commercial
potential of LENRs for use in small, battery-like portable power generation
systems (see below), we shall examine the maximum
amount of energy that can be obtained from an idealized system.
To simplify our calculations, we assume that conversion of input energy (in this case, an electric
current) into energy available to produce LENR ULM neutrons is 100 percent efficient in order
to estimate a theoretical upper bound on
potential energy releases from a small LENR heat source.
We will also assume that 100 percent of the ULM neutrons produced in the hypothetical device are absorbed locally
(a pretty safe bet that is supported by 19 years of experiments) and that
they are only absorbed by a ‘target fuel’ comprising isotopically pure
lithium-6, resulting in a series of nuclear reactions beginning with lithium-6
and ending with helium-4 [2]:
Lithium-6 + 2 neutrons à
2 Helium-4 + beta particle (e−) + neutrino (n)
+ 26.9 MeV (1)
The details of which are:
Li-6 + n à Li-7 + n à
Li-8 à Be-8 + e− + n
{neutron absorption, then beta decay} (2)
Be-8 à He-4 + He-4 {perfectly symmetric,
‘green’ fission of a Beryllium-8 nucleus} (3)
Lastly, we will assume that the ‘base fuel’ used
to produce LENR ULM neutrons in our hypothetical device is deuterium and
that it has an LENR-active working surface area of 1 cm2.
The input energy required to produce 1 neutron/cm2/sec
from deuterium ‘base fuel’ to react with the lithium-6 ‘target fuel’ is 0.39
MeV per neutron. However, according to Eq. 1, we need two ULM neutron to complete
the entire series of reactions, so the required total input energy to the
device is 0.78 MeV/cm2/sec.The net energy release from that particular
series of LENR reactions starting with lithium-6 is 26.9 MeV/cm2/sec
= 4.28 x 10-12 J/cm2/sec (1
eV = 1.602 x 10-19 J). The 26.9 MeV represents a theoretical upper
bound of ~ 34x total input power.
As there are ~ 1014 of these 26.9 MeV energy
releases taking place per second on the 1 cm2 LENR device, the
total energy release is 4.28 x 10-12 J/cm2/sec
x 1014 = 428 J /cm2/sec. This represents 428 W/cm2,
a large power density. At a lesser ULM neutron production rate of 1 x 1012/cm2/sec,
the overall energy production rate would drop down to 4.28 J/cm2/sec
or 4.28 W/cm2. At a ULM neutron production rate of 1 x 1011/cm2/sec,
the energy production rate would drop down to 0.428 J/cm2/sec or
0.428 W/cm2, which is close to levels of excess heat output that
are often observed in the limited subset of electrolytic LENR experiments
that researchers deem ‘successful’ at making heat. According to our theory,
experimentally observed ‘excess heat’ from LENR devices should be closely
correlated to their rates of ULM
neutron production.
In this example, an energy generating rate of 428W/cm2
means 0.428 kWh/ cm2 produced in an hour for a lithium-6-fueled
1 cm2 LENR device, without releasing any CO2. In comparison
to the minuscule total mass of LENR reactants, the complete combustion of
1 US gallon of gasoline (weighing
2.7 kg) generates ~33.56 kWh of heat energy and releases
~8.8 kg of CO2 into the atmosphere.
Scaling up the surface area of the
idealized LENR device 1 000 fold would give a 428 kW power source,
while a 1 m2 device would give a 4.28 MW power source.
Experimental LENRs to-date very suboptimal with regard to
energy output
Up to now, and depending on the specific type of experimental system involved,
in the limited number of LENR experiments
in which significant amounts of excess heat production have been reliably
observed, power output is generally well below 1 W on average. In an even smaller number of successful experiments in which
researchers sporadically manage to produce 1–2 Watts or more of excess heat
over a period of hours or days, there were probably
still only a relatively small number of
surface ‘patches’ that are LENR-active and producing ULM neutrons at any given
time. Those tiny surface regions are the so-called ‘hot spots’, the effects
of which can be seen in post-experiment SEM images of the surfaces on LENR
devices [10], or the ‘fireflies’ seen in high-speed infrared imaging during
cathode operation [11].
Interestingly, back in the 1990s some talented researchers
at the University of Sienna in Italy produced nearly 20 Watts of heat for almost a
year using a gas-phase nickel electrode
hydrogen system [12]. They were able to repeat it several times in a hit-or-miss
fashion but unfortunately didn’t understand the underlying physics and fabrication
issues well enough to be able to readily reproduce their spectacular results.
LENR heat sources could be integrated with various energy
conversion technologies
A major difference between chemical batteries and Lattice’s
proprietary LENR power generation technologies is that with batteries the
on-demand conversion from stored chemical energy into electrical power output
is automatic and ‘built in.’ In the case of LENR-based power generation systems,
nuclear reactions are used to produce raw heat, which must then be converted
into usable power by separate, integrated energy conversion subsystems. For
example, in an integrated LENR-based portable power generation system, solid-state
thermoelectric devices [13-15] could be used to convert raw heat directly
into high quality DC electrical power.
There are many different kinds of off-the-shelf energy conversion technologies
that could be integrated with high performance LENR-based heat sources
for particular application requirements,
performance, and power output. These involve various types of heat-to-electricity
conversion, heat-to-shaft-rotation, heating of working fluids, and so on.
Available types of energy conversion subsystems
that can be used in different configurations with LENRs include thermoelectrics
or thermionics (the production of electric power from heat using vaporized
electrons from a hot electrode) [16]; Stirling engines (in which work is done by the expansion
of a gas at high temperature) [17]; or steam
engines [18], turbines [19]; microturbines [20-21];
boilers [22] and steam plants. Other possibilities
are optoelectric nuclear battery configurations [23] (in which beta-emitters are used to excite light emitting
gases to generate electricity in a photovoltaic layer); beta voltaic nuclear
battery configurations [24] (in which radioactive sources emitting beta particles
are used to generate electricity directly); and other direct energy conversion
technologies [25, 26] still under development.
Many commercial applications for future LENR-based power
generation systems
In principle, total energy output of fully integrated LENR-based
power generation systems could be scaled-up to any value within reason. This
would enable many different types of cost-effective commercial systems with
power outputs ranging from microwatts to megawatts. Applications for such
systems could include: portable power generation; stationary distributed power
generation; propulsion for transportation; and eventually, large-scale many-megawatt
grid connected power plants.
Over time, LENRs may have the potential to gradually replace internal
combustion engines now used in ground transportation with carbon-free, all-electric
or steam propulsion systems. Megawatt-output LENR-based propulsion
systems could also be used to power long range manned aircraft [27] and various
types of unmanned aerial vehicles (UAVs) [28]. Aircraft equipped with such
systems might be able to circle the earth without refueling or emitting carbon-rich
exhaust gases into the atmosphere. With LENR-based aircraft propulsion, there
would be no risk of releases of radioactivity or radiation in the event of
a crash; neither would there be any need for heavy shielding to protect passengers,
crew, or vital electronics.
Unlike uranium, fuels for LENR-based power generation
systems are non-radioactive, comparatively inexpensive, and relatively abundant
Fuels for different versions of Lattice’s planned commercial
LENR-based portable and distributed power generation systems include protons
or deuterons, electrons, and a variety of different types of stable target
fuel atoms/isotopes that can be used to release nuclear binding energy (e.g.,
lithium, nickel, titanium, etc.). Protons and deuterons are ‘base’ LENR fuels
found in water and hydrogen gas; and there is no possible future shortage;
free electrons are found on the surfaces of all metals; so no potential
shortage there either.
Readily recoverable global reserves of some LENR target fuels include:
lithium, ~28 million tons [29]; nickel, ~23 billion tons [30]; and
titanium, ~600 million tons [31]. These are much more abundant than the world’s
estimated uranium reserves of ~5.5 million tons [32 - 34], from which U-235
is enriched to make the nuclear fuels that are now used in almost all commercial
fission power plants (see also [35] The Nuclear Black Hole,
SiS 40)
World reserves of potential LENR target fuels are also more abundant
than thorium [36] (estimated reserves are 3x uranium). Fertile thorium-232
provides the basis for an alternative type of nuclear fuel cycle involving
fission of uranium-233 [37] rather than U-235; it is still in the R&D
phase, with India and France particularly active.
The author declares his commercial interest as President and CEO of Lattice
Energy LLC.
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