Geology Rayleigh Fractionation Calculator
Ideal Rayleigh fractional-crystallization residual liquid C=C0F^(D−1), independently constant bulk Dand actual remaining melt fraction. Not closed equilibrium melting, cumulate average or fitted actual petrogenesis.
Description
Rayleigh fractionation relates residual melt concentration to remaining melt fraction and a bulk partition coefficient.
Rayleigh fractionation relates residual melt concentration to remaining melt fraction and a bulk partition coefficient.1
The expression assumes the caller's adopted fractional-crystallization model. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Geology Rayleigh Fractionation Calculator
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
How to use Geology Rayleigh Fractionation Calculator and understand its results
- Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
- Enter actualRemainingMeltFraction, callerMatchedBulkPartitionCoefficient, actualInitialTraceConcentration, using the field meanings and rules below, then run the tool.
- Read result.conditionalRayleighResidualMeltConcentration. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualRemainingMeltFraction | Actual remaining melt fraction | number | Required |
| callerMatchedBulkPartitionCoefficient | Caller matched bulk partition coefficient | number | Required |
| actualInitialTraceConcentration | Actual initial trace concentration | number | Required |
Require remaining melt fraction in (0,1], nonnegative bulk partition coefficient and nonnegative initial trace concentration. Apply C0×F^(D−1). F=1 returns the initial concentration; F=0 fails. No partition-coefficient fitting or crystallization history is inferred.
residualMeltConcentration=C0×remainingMeltFraction^(bulkD−1) Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.conditionalRayleighResidualMeltConcentration | Conditional Rayleigh Residual Melt Concentration; use the units, sign convention and calculation stated above | number |
{
"input": {
"actualRemainingMeltFraction": 0.5,
"callerMatchedBulkPartitionCoefficient": 2,
"actualInitialTraceConcentration": 10
},
"output": {
"result": {
"conditionalRayleighResidualMeltConcentration": 5
}
}
}Limitations and assumptions
The expression assumes the caller's adopted fractional-crystallization model. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Geology Ree Pattern Slope La Yb Calculator to examine a related aspect: Normalized La/Yb compares lanthanum and ytterbium relative to declared reference concentrations.
Use Geology Fe Number Calculator where its separate inputs and scope apply: Iron number compares divalent iron with the combined divalent-iron and magnesium amount.
References
Similar or alternative tools
- Geology Ree Pattern Slope La Yb Calculator
Normalized La/Yb compares lanthanum and ytterbium relative to declared reference concentrations.
- Geology Fe Number Calculator
Iron number compares divalent iron with the combined divalent-iron and magnesium amount.