D. Schiferl et al., THE DIAMOND C-13 C-12 ISOTOPE RAMAN PRESSURE SENSOR SYSTEM FOR HIGH-TEMPERATURE/PRESSURE DIAMOND-ANVIL CELLS WITH REACTIVE SAMPLES/, Journal of applied physics, 82(7), 1997, pp. 3256-3265
By using a thin C-13 diamond chip together with a C-12 diamond chip as
sensors, the diamond Raman spectra provide the means to measure press
ure precisely (+/- 0.3 GPa) at any temperature (10-1200 K) and simulta
neous hydrostatic (or quasihydrostatic) pressure (0-25 GPa) for any, s
ample compatible with an externally heated diamond-anvil cell. Minimum
interference between the Raman spectrum from the diamond anvils and t
hose of the pressure sensors is obtained by measuring pressures with t
he Raman signal from the C-13 diamond chip up to 13 GPa, and that from
the C-12 chip above 10 GPa. The best crystallographic orientation of
the diamond anvils is with the [100] direction along the direction of
applied force, in order to further minimize the interference. At 298 K
, the pressure dependence of the C-13 diamond first-order Raman line i
s given by v(P) v(RT) +aP for 91 at.% C-13 diamond, where v(RT)(C-13)
= 1287.79 +/- 0.28 cm(-1) and a(C-13) = 2.83 +/- 0.05 cm(-1)/GPa. Anal
ysis of values from the literature shows that the pressure dependence
of the Raman line of C-12 diamond is best described by the parameters
v(RT)(C-12) = 1332.5 cm(-1) and a(C-12) = 2.90 +/- 0.05 cm(-1)/GPa. Th
e temperature dependence of the diamond Raman line is best described b
y v(T) - v(RT) = b(0) for T less than or equal to 200K, and v(T) - v(R
T) = b(0) + b(1.5)T(k)(1.5) for 200K less than or equal to T less than
or equal to 1500K, where T-k = T - 200K. For 91 at.% C-13 diamond, th
e parameters are b(0) = 0.450 +/- 0.025 cm(-1) b(1.5) = -(7.36 +/- 0.0
9) X 10(-4) cm(-1) K-1.5; and for C-12 diamond, the parameters are b(0
) = 0.467 +/- 0.033 cm(-1), b(1.)5 = -(7.56 +/- 0.10) X 10(-4) cm(-1)
K-1.5. Although no quantitative theoretical models are available for c
alculating the Raman shift as a function of temperature, the excellent
fits to the data suggest that the T-k(1.5) dependence above has a phy
sical basis. (C) 1997 American Institute of Physics.