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Properties of water have been well elucidated for temperatures above$\sim$230 K and yet mysteries remain in the deeply supercooled region. Byperforming extensive molecular dynamics simulations on this supercooled region,we find that structural and dynamical instabilities are hidden in theexperimentally inaccessible region between 235 K and 150 K. We find a hithertoundiscovered fragmentation from 220 K to 190 K, which is the break-up of largeclusters consisting of molecules with locally distorted tetrahedral structureinto small pieces with one or two isolated defects. The fragmentation leads toconsiderable changes in the relaxation dynamics of water. We reveal a crucialrole of specific three-coordinated defects in slow but persistent structuralrelaxation. The presence of relaxation due to these specific defects makeswater glass transition temperature $T_{\rm g}$ (= 136 K) extremely low andexplains why the $T_{\rm g}$ of water is $\sim$ 1/2 of the melting temperatureTm, much lower than the commonly obeyed 2/3 rule of $T_{\rm g}/T_{\rm m}$.

Crucial role of fragmented and isolated defects in persistent relaxation of deeply supercooled water