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Type Ia supernovae (Ia-SNe) are thought to arise from the thermonuclearexplosions of white dwarfs (WDs). The progenitors of such explosions are stillhighly debated; in particular the conditions leading to detonations in WDs arenot well understood in most of the suggested progenitor models. Nevertheless,direct head-on collisions of two WDs were shown to give rise to detonations andproduce Ia-SNe - like explosions, and were suggested as possible progenitors.The rates of such collisions in dense globular clusters are far below theobserved rates of type Ia SNe, but it was suggested that quasi-secularevolution of hierarchical triples could produce a high rate of such collisions.Here we used detailed triple stellar evolution populations synthesis modelscoupled with dynamical secular evolution to calculate the rates of WD-WDcollisions in triples and their properties. We explored a range of models withdifferent realistic initial conditions and derived the expected SNe total mass,mass-ratio and delay time distributions for each of the models. We find thatthe SNe rate from WD-WD collisions is of the order of 0.1% of the observedIa-SNe rate across all our models, and the delay-time distribution is almostuniform in time, and is inconsistent with observations. We conclude that SNefrom WD-WD collisions in isolated triples can at most provide for a smallfraction of Ia-SNe, and can not serve as the main progenitors of suchexplosions.

The rate of WD-WD head-on collisions in isolated triples is too low to explain standard type Ia supernovae