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Igneous Petrology Rayleigh Fractional Crystallization & Trace Element Calculator

Easily calculate and compute igneous petrology rayleigh fractional crystallization & trace element calculator with accurate equations, live formulas, and expert guidance.

D < 1 for incompatible elements (e.g. Rb, Ba, REE); D > 1 for compatible (e.g. Ni, Cr).

F = 0.25 means 75% of magma has crystallized.

Calculated Result
317.2 ppm

Residual Melt Conc

Residual Melt Conc

317.2 ppm

Differentiated Liquid Concentration Ppm

317.2

Instantaneous Solid Concentration Ppm

15.9

Relative Enrichment Fold Factor

3.73

Element Compatibility Classification

INCOMPATIBLE ELEMENT (D < 1): Concentrates heavily into residual evolved liquid as crystallization proceeds

317.2 — ppm

Calculation Breakdown

  1. Applied FormulaModels trace element enrichment or depletion in differentiating magma chambers during fractional crystallization via the Rayleigh equation.C_L = C_0 F^{D - 1}, \quad C_S = D C_0 F^{D - 1}

Rayleigh Fractionation Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.079159238317Residual Melt Conc

What Is the Igneous Petrology Rayleigh Fractional Crystallization & Trace Element Calculator?

This tool computes igneous petrology rayleigh fractional crystallization & trace element calculator with high precision arithmetic.

How Does the Igneous Petrology Rayleigh Fractional Crystallization & Trace Element Calculator Work?

Models trace element enrichment or depletion in differentiating magma chambers during fractional crystallization via the Rayleigh equation.

Igneous Petrology Rayleigh Fractional Crystallization & Trace Element Calculator Formula & Variables

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

CL=C0FD−1,CS=DC0FD−1C_L = C_0 F^{D - 1}, \quad C_S = D C_0 F^{D - 1}

Models trace element enrichment or depletion in differentiating magma chambers during fractional crystallization via the Rayleigh equation.

How to Use the Igneous Petrology Rayleigh Fractional Crystallization & Trace Element Calculator

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

Step-by-Step Example Calculation

Igneous Petrology Rayleigh Fractional Crystallization & Trace Element Calculator Example

Input Values:

initialConcentrationPpm:85
bulkPartitionCoefficientD:0.05
remainingMeltFractionF:0.25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required ppm.

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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