Geology Mineral Chemistry Cation Calculation Calculator

Actual mineral oxide-to-cation oxygen-basis normalization with caller independently verified oxide stoichiometry/molar masses and mineral oxygen basis. Not infer valence, site occupancy, Feoxidation, volatile deficits or mineral classification.

Description

Mineral cation normalization converts declared oxide amounts to a selected oxygen basis.

Mineral cation normalization converts declared oxide amounts to a selected oxygen basis.1

Molar masses, stoichiometry and iron-speciation conventions must be established independently. Use this tool to calculate the stated observation or conditional model from supplied measurements.

When to use Geology Mineral Chemistry Cation Calculation 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 Mineral Chemistry Cation Calculation Calculator and understand its results

  1. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
  2. Enter actualOxideWeightAmounts, callerVerifiedOxideMolarMasses, callerVerifiedCationsPerOxide, callerVerifiedOxygensPerOxide, callerIndependentNormalizationOxygens, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalOxygenNormalizedCations. Interpret each field using the units, signs and evidence rules below.
  4. 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 fieldMeaningValue typeRequirement
actualOxideWeightAmountsActual oxide weight amountslist of numberRequired
callerVerifiedOxideMolarMassesCaller verified oxide molar masseslist of numberRequired
callerVerifiedCationsPerOxideCaller verified cations per oxidelist of numberRequired
callerVerifiedOxygensPerOxideCaller verified oxygens per oxidelist of numberRequired
callerIndependentNormalizationOxygensCaller independent normalization oxygensnumberRequired

Require nonempty aligned oxide amounts, positive molar masses and integer cation/oxygen stoichiometries 1–100. Oxide amounts are nonnegative; the selected oxygen basis is positive and need not be integer. Divide each amount by its molar mass, sum mole×oxygen contributions and require positive oxygen total. Scale each mole×cation contribution by basis/oxygenTotal. No chemical identity, oxidation state or complete stoichiometry is inferred.

moles_i=oxideAmount_i/molarMass_i; oxygenTotal=Σ(moles_i×oxygenCount_i); normalizedCations_i=moles_i×cationCount_i×oxygenBasis/oxygenTotal

Apply the field units and exact ordering, boundary and evidence rules above.

Output fieldMeaningValue type
resultStructured result containing the calculation or selected reference fields belowobject
result.conditionalOxygenNormalizedCationsConditional Oxygen Normalized Cations; use the units, sign convention and calculation stated abovelist of number
json
{
  "input": {
    "actualOxideWeightAmounts": [
      60,
      40
    ],
    "callerVerifiedOxideMolarMasses": [
      60,
      40
    ],
    "callerVerifiedCationsPerOxide": [
      1,
      1
    ],
    "callerVerifiedOxygensPerOxide": [
      2,
      1
    ],
    "callerIndependentNormalizationOxygens": 6
  },
  "output": {
    "result": {
      "conditionalOxygenNormalizedCations": [
        2,
        2
      ]
    }
  }
}

Limitations and assumptions

Molar masses, stoichiometry and iron-speciation conventions must be established independently. 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 Fe Number Calculator to examine a related aspect: Iron number compares divalent iron with the combined divalent-iron and magnesium amount.

Use Geology Niggli Value Al Calculator where its separate inputs and scope apply: Niggli al describes an independently computed aluminum group within an adopted molar normalization.

References

  1. Geology Mineral Chemistry Cation Calculation Calculator — tool.io

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