Your first mistake was graphite. Glassy carbon is the thing to use if you're going to use carbon, but these are done usually in Pt95Au5 crucibles, which are quite resistant to alkalis. I run mine at 1000 C. Mostly useful for aluminaceous material. I also do a few Na2O2 fusions a week (20-30) in Zr crucibles, though alot of people use nickel for reasons of economy.
Second mistake was that you poured a melt like that (basically molten alkali oxides and glasses) into a dilute sulfuric acid solution in a glass beaker. You should have used a (poly)methylpentene beaker. Basically the shock wave from acid-base reaction at high temperature, steam formation, etc. is what destroyed the beaker. Thank goodness you had PPE on when conducting this.
If you have a sonicator, you can wait until the reaction is cool and then go from there. The issue is if you conduct fusion in graphite in air, the graphite will oxidize and particles will come off during sonication.
Second mistake was that you poured a melt like that (basically molten alkali oxides and glasses) into a dilute sulfuric acid solution in a glass beaker. You should have used a (poly)methylpentene beaker. Basically the shock wave from acid-base reaction at high temperature, steam formation, etc. is what destroyed the beaker. Thank goodness you had PPE on when conducting this.
If you have a sonicator, you can wait until the reaction is cool and then go from there. The issue is if you conduct fusion in graphite in air, the graphite will oxidize and particles will come off during sonication.