A novel liquid-liquid phase transition has been investigated for a wide variety of pure substances, including water, silica and silicon. From computer simulations using the Stillinger-Weber (SW) classical empirical potential, Sastry and Angell 1 demonstrated a first order liquid-liquid transition in supercooled silicon at zero pressure, supported by subsequent experimental and simulation studies. Whether the line of such first order transitions will terminate at a critical point, expected to lie at negative pressures, is presently a matter of debate 2 . Here we report evidence for a liquid-liquid critical point at negative pressures, from computer simulations using the SW potential. We identify T c ∼ 1,120 ± 12 K, P c ∼ −0.60 ± 0.15 GPa as the critical temperature and pressure. We construct the phase diagram of supercooled silicon, which reveals the interconnection between thermodynamic anomalies and the phase behaviour of the system as suggested in previous works [3][4][5][6][7][8][9][10] . We also observe a strong relationship between local geometry (quantified by the coordination number) and diffusivity, both of which change dramatically with decreasing temperature and pressure.The possibility of a phase transition between two forms of the liquid phase in some pure substances has attracted considerable interest and research activity in recent years [1][2][3][4][5][6][7][8][9][10] . Among the substances investigated are water 6,8,9 , silica 10 , silicon 1,11-17 , germanium, carbon and hydrogen-these substances together form a very significant component of our natural world, living organisms and technology. A phenomenon common to these is therefore of wide general interest. Furthermore, as illustrated in ref. 18, liquid-liquid transitions offer an avenue for interesting applications that exploit the different properties of distinct liquid phases.Although the liquid-liquid phase transition (LLPT) had been discussed in the context of silicon 11 earlier, the considerable current interest stems from various proposals for understanding the anomalies of water 2,4,[6][7][8]19,20 . These scenarios have alternately invoked the approach to a spinodal 4 , a liquid-liquid critical point 6,8 , general thermodynamic constraints without the presence of any singular behaviour 7 , and the presence of a transition without a critical point 2 , in rationalizing experimentally observed behaviour. In spite of substantial investigations, a general consensus has still to be reached on the interpretation of the observed behaviour 2,19 . In particular, recent experiments on confined water 20 and issues surrounding their interpretation 2 indicate the need to ascertain the existence of a critical point even when sufficient evidence exists for a liquid-liquid transition.The possibility of a transition in supercooled silicon was suggested 12 on the basis of estimates of the excess Gibbs free energies of amorphous and liquid silicon, implying an 'amorphous-liquid' phase transition near 1,450 K (below the freezing point of the liquid, 1,685 K...