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Cubic boron nitride ( c- BN) has the same structure as diamond, and it shows very inert reaction activity in different chemical environments, even under high-pressure ( P ) and high-temperature ( T ) conditions. Furthermore, the  P-  and  T -dependent Raman shift of  c- BN (e.g., TO mode) can be distinguished from that of the diamond anvil ( c- BN at ~1054 cm –1  vs. diamond at ~1331 cm –1  at ambient conditions), making  c- BN a potential  P - T  sensor for diamond-anvil cell (DAC) experiments. However, the Raman shift of  c- BN has not been well studied at high  P - T  conditions, especially at temperatures above 700 K. In this study, we systematically calibrated the Raman shift of the TO mode (ν TO ) for synthetic  c- BN grains at high- P  and high- T  conditions up to 15 GPa and 1300 K. Both ruby ( Mao et al. 1986 ) and Sm 2+ :SrB 4 O 7  ( Datchi et al. 2007 ) were used as internally consistent standards for calibration of  c- BN  P - T  sensor. Our results show that the Raman shift of  c- BN is negatively correlated with temperature [∂ν TO /∂  T   = –0.02206(71)] but positively correlated with pressure [∂ν TO /∂  P   = –3.35(2)]. More importantly, we found that the  P - T  cross derivative for the Raman shift of  c- BN [∂ 2 ν TO /∂  P  ∂  T   = 0.00105(7)] cannot be ignored, as it was assumed in previous studies. Finally, we calibrated a Raman shift  P - T  sensor of  c- BN up to 15 GPa and 1300 K as follows:

Raman shifts of c- BN as an ideal P-T sensor for studying water-rock interactions in a diamond-anvil cell