Barium Titanate and Epoxy Cylindrical Capacitor - K=15 (April 15, 2010)

This was my first successful barium titanate cylindrical capacitor. Its dielectric constant was 15, which may not sound like much except that the dielectric constant for most materials accessable to DIYers/hobbyists is around 2 or 3. It's a mix of 80% barium titanate and 20% epoxy, the epoxy acting as a binder and as something to have between the barium titanate molecules in place of air (which has a dielectric constant of just 1 versus the epoxy's 2.2).

Making the barium titanate and epoxy dielectric

The setup for making the barium titanate and epoxy capacitor.

The above was the setup that was used. The mold was two halves of a transparent arcylic cylinder taped together. Running down the length of the mold, inside, was the central electrode for the capacitor, a 1/4" diameter copper rod. A spacer was attached to the bottom of the mold with the rod running up through it.

I purchased 12 lbs of barium titanace (product no. BA-901) from Atlantic Equipment Engineers in about mid 2002. It arrived in a 1 gallon can containing a plastic bag with the barium titanate in powder form, 99.9%, 0.5-3.0 micron. I don't recall how much I paid but it was afordable. Their website is http://micronmetals.com.

12lb can of barium titanate powder.
Barium titanate powder.

The selection of epoxy was not important other than that it was slow curing to give working time to get it all into the mold. It took about 45 minutes to do so.

The weight of the barium titanate powder and the epoxy used were both worked out so that the percentage used by weight could be calculated.

Previous attempts had been made with the binder and barium titanate in liquid form once mixed together but this meant having too low a percentage of barium titanate to have a relatively high dielectric constant (details of these failures can be found here).

So the method that finally worked was to use a slow curing epoxy mix that was a sludge that would be pushed into the cylinder a little at a time and tamped. As the following photos show, this consisted of placing some of the sludge on the top edge of the cylinder and then tamping it down with a stick and repeating this until the cylinder was full.

Putting a little of the thick mix on top of the cylinder.
Putting a little of the thick barium titanate and epoxy mix on 
      top of the cylinder.
Pushing it down the cylinder and tamping it with a blunt stick.
Pushing the barium titanate and epoxy mix down the cylinder and 
      tamping it with a blunt stick.

June 12, 2010 - Since working out the process, I've made a few cylinders using the same mold as in this April 15, 2010 entry. But this time while mixing the barium titanate and epoxy I kept cutting it into smaller and smaller pieces, repressing it together, cutting again, and even added more powder at one point. I ended up with mostly 1mm or smaller diameter balls with 86% barium titanate. I dropped them into the mold a little at a time and tamped (pressed) them down firmly before dropping in more. The result was a K of 27!

Small balls of barium titanate and epoxy.

As the cylinder was filled, efforts were made to make sure the copper rod was centered. As the following photos show, this was done by placing the end of the tamping stick at the top between the rod and the inner edge of the mold and observing how much space remained. The rod was moved as needed.

Checking on the left...
... and then on the right.

After giving it 24 hours to harden, the mold was cracked open.

The resulting hardened barium titanate and epoxy cylinder.

Measuring the dielectric constant of the barium titanate and epoxy dielectric

The dielectric constant is the ratio of the capacitance of the capacitor with the dielectric being tested to the capacitance of the same capacitor but with air as the dielectric.

I decided to measure the dielectric constant before removing the mold, just to see how much difference the acrylic mold would make. So I first wrapped an aluminium mesh around the whole thing and measured the capacitance with the dielectric, attaching one of the meter probes to the copper rod and the other to this mesh and getting 24pF (see left photo below.) Then I simply slid the mesh off of the dielectric to the long part of the rod that was not covered in dielectric material and repeated the measurement, giving the the capacitance of the same capacitor but with air as the dielectric and getting 4pF (see right photo below.)

24pF divided by 4pF gives a dielectric constant of 6, not bad.

Measuring the capacitance of the barium titante and epoxy with
      the plastic cylinder mold still in place.
Measuring the capacitance of the same geometry with air.

Next I removed the barium titanate and epoxy cylinder from the mold and redid the measurements as in the photos below.

Measuring the capacitance of the barium titanate and epoxy
      cylinder.
Measuring the capacitance of the same geometry with air.

The results were 75pF with the dielectric and 5pF with air. 75pF divided by 5pF is 15, a very good result or at least good enough for my purposes.

IMPORTANT: Before measuring capacitance using a meter like this you must first put the meter probes near the capacitor electrodes/plates but not touching. Do hold hold them there since your body will affect the measurements. Record the value you get and subtract it from the value you get when the probes are in contact with the electrodes/plates. The problem is that the meter and the probes also introduce capacitance and you have to take this into account and remove it from the measurement of your capacitor. After all, you can to measure the capacitance of the capacitor, not the capacitor plus meter plus probes. Many meters have a button you can press to have the meter remember this value and zero out the display for the subsequent measurements. I already did that step before doing the measurements in the above photos.

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