In reference to the Barium titanate compounds, product 208108 may be a better option. This product has a very tight range in terms of particle size, with the average being 1.4 µm.
See the links below to review an example certificate of analysis.
Lot MKCT5369 - while not published here, the histogram for the starting material shows that 80 % of the particles are between 0.54 microns and 3.60 microns
https://www.sigmaaldrich.com/certificates/sapfs/PROD/sap/certificate_pdfs/COFA/Q14/208108-BULKMKCT5369.pdf
Note that dielectric constants are not typically reported. There may be additional product options available.
To discuss this further, please navigate to the link https://www.sigmaaldrich.com/techservice, and click on "Product Technical Inquires" under the Products Section with all the required information so that a member of our team can reach out to you to assist further. Thank you.