  Acoustic cavitation is known to trigger ice nucleation in supercooled water.
Several competing and still debatable mechanisms have been proposed in the
literature and are related to the pressure field in the vicinity of the bubble
at the end of its collapse. Numerical simulations of the bubble dynamics show
that during the bubble expansions in the bounces following the main collapse,
the bubble core temperature reaches values far below 0 {\deg}C for time periods
of about 500 ns. The water vapour present in the bubble during these time
intervals explores the liquid and the solid region of the phase diagrams before
going back to the vapour region. On the base of approximate nucleation kinetics
calculations, we examine to what extent liquid droplets could nucleate
homogenously in the bubble core during these excursions. We also discuss the
possibility that the nucleated clusters reach the bubble wall and trigger ice
nucleation in the surrounding liquid if the latter is supercooled.
