A reactor fuel whose ultimate performance is dependent on its ability to separated electric charge to maintain electric polarization requires a careful tradeoff analysis between nuclear performance and capacitive performance.
An optimized design of such a fuel is an exercise in material evaluation and selection from the perspective of both a nuclear and a electric insulation properties.
For example, the dielectric strength of a material is an intrinsic property of the material. It is dependent on the configuration of the material to which the electric field is applied. At breakdown, the electric field frees bound electrons. The more tightly the electrons are bound, the greater is its dielectric strength.
If the applied electric field is sufficiently high, free electrons may become accelerated to velocities that can liberate additional electrons during collisions with neutral atoms or molecules in a process called avalanche breakdown. Breakdown occurs quite abruptly (typically in nanoseconds)., resulting in the formation of an electrically conductive path and a disruptive discharge through the material. For solid materials, a breakdown event severely degrades, or even destroys, its insulating capability.
Factors affecting the dielectric strength of a nuclear capacitor are first, directly proportional to the increase in thickness of the material; and second, inversely proportional with the increase in temperature
Because dielectric materials usually contain minute defects, the practical dielectric strength will be a fraction of the intrinsic dielectric strength seen for ideal, defect free, material. Dielectric films tend to exhibit greater dielectric strength than thicker samples of the same material. For instance, dielectric strength of silicon dioxide films of a few hundred nm to a few micrometers thick is approximately 0.1 MV/m. However very thin layers become partially conductive because of electron tunneling.
To optimize the performance of an insulator, multiple layers of thin dielectric films are used where maximum practical dielectric strength is required, such as high voltage capacitors and pulse transformers.
A optimum isolative structure for high temperature capacitive nuclear fuel is a ultra thin layering of different metal oxides that are relatively insensitive to nuclear degradation.
Many thin layers of alternating materials will provide optimum electric polarization.
Four such materials are candidates as follows:
1. Thorium
2. Titanium
3. Strontium
4. Beryllium
For example, Strontium Titanate is an oxide of strontium and titanium with the chemical formula SrTiO3 and has a very large dielectric constant about10e4 at low temperatures compared to a pure vacuum at 20 and rubber at 3.
Furthermore, in a nuclear environment, impurities in the material will be the rule. Such impurities will erode capacitive capacity.
In addition, formation of a electrically conductive path in the insulator caused by impurities will produce a disruptive discharge through the material resulting in the generation of heat.
This deterioration will not happen all at once but gradually as the capacitive character of the fuel changes over time. Because of the inherent random nature of the materials environment, deterioration in polarization will be a gradual process averaged over an extreme range of particular nano-material environments and over a wide range in timeframes. This deterioration will be countered by the steady removal and subsequent replacement of new fuel pebbles on an ongoing basis.
Even though the hydride in the lithium moderator will provide a failsafe nuclear framework that underpins the mitigation of polarization failure, a potentially rapid heat build up from depolarization should be avoided to support good controllability of the reactor. High polarization potential can and provides a safety margin in control.
From the perspective of operational simplicity, it will be important to keep the electric potential in the reactor within an operational range so that transients from that range are minimized.
Simply put, the higher the average capacitive capacity that can be achieved, the more safety margin from transients that the reactor will manifest and the more performance latitude can be guarantied against the vagaries of randomness.
PS: here is a simulated displacement cascade within gold from a low energy ion impact.
http://www.youtube.com/watch?v=vLGxAC2DxSs