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Pressure Calculator Ruby Fluorescence Scale

Pressure Formula:

\[ P = \frac{1876}{10.71} \times \left[\left(\frac{\lambda}{\lambda_0}\right)^{10.71} - 1\right] \]

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1. What is a Ruby Fluorescence Pressure Calculator?

Definition: This calculator estimates pressure using the ruby fluorescence scale, which measures the shift in the R1 ruby fluorescence line under pressure.

Purpose: It helps researchers and scientists determine high pressures in diamond anvil cell experiments and other high-pressure applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{1876}{10.71} \times \left[\left(\frac{\lambda}{\lambda_0}\right)^{10.71} - 1\right] \]

Where:

Explanation: The pressure is calculated based on the wavelength shift of the R1 ruby fluorescence line, which is highly sensitive to pressure changes.

3. Importance of Ruby Pressure Scale

Details: The ruby fluorescence method is the most widely used pressure calibration technique in high-pressure research, providing accurate measurements up to about 150 GPa.

4. Using the Calculator

Tips: Enter the measured ruby fluorescence wavelength and reference wavelength (default 694.2 nm). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the ruby fluorescence method?
A: It's a technique that uses the pressure-induced shift in the R1 fluorescence line of ruby (Cr³⁺ in Al₂O₃) to measure pressure.

Q2: Why is 694.2 nm the default reference wavelength?
A: This is the standard R1 fluorescence wavelength of ruby at ambient pressure and room temperature.

Q3: What's the pressure range for this method?
A: The ruby scale is reliable up to about 150 GPa, though corrections may be needed above 50 GPa.

Q4: How accurate is this pressure determination?
A: Typically ±0.1 GPa below 10 GPa and ±1-2% at higher pressures, depending on measurement conditions.

Q5: Does temperature affect the measurement?
A: Yes, temperature changes also shift the R1 line. For precise work, temperature should be controlled or corrected for.

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