Equations of state of C-12 and C-13 diamond

X-ray powder-diffraction measurements performed at the ESRF between 10(-4) and 22 GPa have been used to infer the equations of state (EOS) of both C-1 2 and C-13 diamonds. The experiments were carried out with a diamond-anvil cell and care was taken to obtain the most hydrostatic pressure conditions using nitrogen, argon, or ethanol:methanol:water mixtures as pressure trans mitting media. The cell parameter determinations were precise enough to dis tinguish the small volume differences between the two isotopic end members. Fits of the data to Birch-Murnaghan EOS yield an isothermal bulk modulus o f C-12 diamond [K-0T ,= 446(4) GPa for K'(0T) fixed to 4], in excellent agr eement with the values inferred from ultrasonic and Brillouin scattering me asurements. The EOS of C-13 is very close to that of C-12 diamond [K-0T =43 8(8) GPa for K'(0T)=4]. This result is at variance with previous acoustic m easurements which suggested that the bulk modulus of C-13 diamond is 17% hi gher than that of C-12 diamond. [S0163-1829(99)03545-6].