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Ruby Pressure Calibration Calculator

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 Pressure Calibration Calculator?

Definition: This calculator determines pressure based on the wavelength shift of the R1 ruby fluorescence line using the Mao-Bell scale.

Purpose: It helps researchers and scientists calibrate high-pressure experimental setups using ruby as a pressure sensor.

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 from the ratio of the measured wavelength to the reference wavelength raised to the 10.71 power.

3. Importance of Ruby Pressure Calibration

Details: Ruby fluorescence is widely used as a pressure standard in high-pressure experiments due to its well-characterized wavelength shift with pressure.

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 typical reference wavelength (λ₀)?
A: The standard reference wavelength is 694.2 nm for the R1 ruby fluorescence line at ambient pressure.

Q2: What pressure range is this equation valid for?
A: This equation is valid up to about 150 GPa, though different scales may be needed for very high pressures.

Q3: Why 10.71 in the equation?
A: The exponent 10.71 is an empirical parameter determined from calibration experiments against known pressure standards.

Q4: How accurate is ruby pressure calibration?
A: Typically ±0.1-0.5 GPa depending on measurement conditions and spectrometer resolution.

Q5: What affects the ruby fluorescence wavelength?
A: Primarily pressure, but temperature and stress state can also influence the measurement.

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