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1. Ruby fluorescence

Pressure is determined from the shift of the ruby R1 fluorescence line, the most widely used pressure gauge in diamond-anvil-cell experiments. Select Ruby Fluorescence at the top of the main window.

Ruby fluorescence mode

Workflow

  1. Load a fluorescence spectrum (see Spectra and fitting), or type the R1 wavelength directly into the R1 box (in nm).
  2. When a spectrum is loaded, PressureCalculator fits the R1 and R2 lines within the Fitting Range (pseudo-Voigt profiles with a linear background) and displays the fitted peak positions and widths in the Fitting Information box.
  3. Set the reference condition (the R1 wavelength R1₀ at zero pressure) in the Reference condition group. Set the current R1 copies the currently fitted R1 into the reference box.
  4. The pressure calculated with each ruby scale is displayed in the Pressure calculation group (in GPa).

Ruby scales

The pressure is calculated as

\[P = \frac{A}{y}\left[\left(\frac{R1}{R1_0}\right)^{y} - 1\right]\]

with the following parameter sets (the coefficients are editable):

Scale Note
Mao (1978) A = 1904 GPa, y = 5
Mao-quasi (1986) quasi-hydrostatic conditions, y = 7.665
Mao-hydro (2000) hydrostatic conditions, y = 7.715
Shen et al. (2020) international practical ruby scale, P = 1870 × Δ(1 + 5.63 Δ), Δ = (R1 − R1₀)/R1₀

Temperature correction

The R1 line also shifts with temperature. The Temperature dependency (Ragan et al., 1992) group corrects for this effect, using the measured temperature and the reference temperature; it is applicable in the range of 50-600 K.

  • Temperature unit : Kelvin or Celsius.
  • Same as reference : assume the measurement temperature equals the reference temperature.
  • Calculate from Ragan's equation : compute R1₀ at the given temperature from Ragan's equation instead of typing it manually.