We demonstrate a monolithic optical whispering gallery mode resonator
fabricated with barium fluoride (BaF2) with an ultra-high quality (Q)
factor above 109 at 1550 nm, and measured with both the linewidth and
cavity-ring-down methods. Vertical scanning optical profilometry shows that the
root mean square surface roughness of 2 nm is achieved for our mm-size disk.
To the best of our knowledge, we show for the first time that one billion
Q-factor is achievable by precision polishing in relatively soft crystals
with mohs hardness of ~3. We show that complex thermo-optical dynamics can
take place in these resonators. Beside usual applications in nonlinear optics
and microwave photonics, high energy particle scintillation detection utilizing
monolithic BaF2 resonators potentially becomes feasible