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Metamorphic Geothermometer Garnet-Biotite Fe-Mg Exchange Temperature Calculator

Easily calculate and compute metamorphic geothermometer garnet-biotite fe-mg exchange temperature calculator with accurate equations, live formulas, and expert guidance.

Typical regional crustal metamorphism ~4 to 10 kbar.

Calculated Result
770 °C

Peak Temperature

Peak Temperature

770 °C

Equilibration Temperature Celsius

770

Equilibration Temperature Kelvin

1043

Distribution Coefficient Kd

3.59

Metamorphic Facies Grade

Upper Amphibolite / Granulite Facies: Peak metamorphic thermal equilibrium

770 — °C

Calculation Breakdown

  1. Applied FormulaCalculates metamorphic crystallization temperatures using the classic Ferry & Spear Fe-Mg cation exchange geothermometer between coexisting garnet and biotite.T\text{ (K)} = \frac{2089 + 9.78 P\text{ (kbar)}}{\ln K_D + 0.782}, \quad K_D = \frac{(\text{Fe}/\text{Mg})_{\text{gt}}}{(\text{Fe}/\text{Mg})_{\text{bt}}}

Garnet-Biotite Geothermometer Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0193385578770Peak Temperature

What Is the Metamorphic Geothermometer Garnet-Biotite Fe-Mg Exchange Temperature Calculator?

This tool computes metamorphic geothermometer garnet-biotite fe-mg exchange temperature calculator with high precision arithmetic.

How Does the Metamorphic Geothermometer Garnet-Biotite Fe-Mg Exchange Temperature Calculator Work?

Calculates metamorphic crystallization temperatures using the classic Ferry & Spear Fe-Mg cation exchange geothermometer between coexisting garnet and biotite.

Metamorphic Geothermometer Garnet-Biotite Fe-Mg Exchange Temperature Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

T (K)=2089+9.78P (kbar)ln⁡KD+0.782,KD=(Fe/Mg)gt(Fe/Mg)btT\text{ (K)} = \frac{2089 + 9.78 P\text{ (kbar)}}{\ln K_D + 0.782}, \quad K_D = \frac{(\text{Fe}/\text{Mg})_{\text{gt}}}{(\text{Fe}/\text{Mg})_{\text{bt}}}

Calculates metamorphic crystallization temperatures using the classic Ferry & Spear Fe-Mg cation exchange geothermometer between coexisting garnet and biotite.

How to Use the Metamorphic Geothermometer Garnet-Biotite Fe-Mg Exchange Temperature Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Metamorphic Geothermometer Garnet-Biotite Fe-Mg Exchange Temperature Calculator Example

Input Values:

garnetFeOverMgRatio:5.2
biotiteFeOverMgRatio:1.45
confiningPressureKbar:6
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required °C.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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