Electrical – Material whose dielectric constant * [dielectric strength]^2 > 20,000,000,000

dielectric

I'm looking for a material or compound, whose dielectric constant multiplied by the square if its dielectric strength (MV/m) is greater than two billion at temperature from -20C to 100C.

It doesn't matter whether the individual values of dielectric strength or dielectric constant are high or low, I'm only interested in the final value.

Also frequency is not a consideration, since this is not for AC use.

Best Answer

If by dielectric strength you mean V/m then"it's easy".
If you mean MV/m then probably only diamond has a chance of qualifying, and probably doesn't.

Here is Wikipedia DS page.
The table of strengths indicates that for diamond to be suitable the dieletric constant would need to be.

2,000,000,000/2000^2 = 500

Reported values are in the 5 - 10 range.

Another approach is to look at material with high DC as a starting point.
Barium titanate is one of the highest wity reported values in the 4000-6000 range. As this is usually sintered from a powdered form air voids and similar affect results.
Dielectric strength is not marvellous [tm] but eg this paper Improved dielectric strength of barium titanate-polyvinylidene fluoride nanocomposite using barium titanate reports

Barium titanate-polyvinydene fluoride nanocomposites with improved dielectric strength were prepared, in which on the surface of the barium titanate nanoparticle was coated. The results showed that the dielectric breakdown strength of the nanocomposites increase significantly up to 250 kV/mm and then decrease.

250 kV/mm = 250 MV/m. At say (one can hope) DC of 6000 that still gives a figure of merit of 6000 x 250^2 = 375 million, or only about 20% of your target value.

As the greatly improved DS is achieved by coating and thus disprsing the barium titanate particles within the polyvindene I'd expect that the DC would be much lowered.