Thermal Pressure in the Laser Heated Diamond Anvil Cell: A Quantitative
Study and Implications for the Density vs. Mineralogy Correlation of the
Mantle
Abstract
Thermal pressure is an inevitable thermodynamic consequence of heating a
volumetrically constrained sample in the diamond anvil cell. Its
possible influences on experimentally determined density-mineralogy
correlations are widely appreciated, yet the effect itself has never
been experimentally measured. We present here the first quantitative
measurements of the spatial distribution of thermal pressure in a laser
heated diamond anvil cell (LHDAC) in both olivine and AgI. The observed
thermal pressure is strongly localized and closely follows the
distribution of the laser hotspot. The magnitude of the thermal pressure
is of the order of the thermodynamic thermal pressure (αKTT) with
gradients between 0.5 – 1.0 GPa/10 μm. Remarkably, we measure a steep
gradient in thermal pressure even in a sample that is heated close to
its melting line. This generates consequences for pressure
determinations in pressure-volume-temperature (PVT) equation of state
measurements when using an LHDAC. We show that an incomplete account of
thermal pressure in PVT experiments can lead to biases in the coveted
depth versus mineralogy correlation. However, the ability to spatially
resolve thermal pressure in an LHDAC opens avenues to measure
difficult-to-constrain thermodynamic derivative properties, which are
important for comprehensive thermodynamic descriptions of the interior
of planets.