Geology Cipw Norm Calculation Full Calculator

Solve full caller independently selected CIPW sequential branch oxide/mineral stoichiometric balance; caller establishes oxidation, volatile removal and normative phases. Not an automatic branch selector or modal mineral identity. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.

Description

A normative mineral allocation expresses a chemical analysis through an adopted idealized mineral system.

A normative mineral allocation expresses a chemical analysis through an adopted idealized mineral system.1

Solving a caller-supplied linear allocation matrix differs from supplying the full conventional CIPW sequence and its chemical preprocessing rules. Use this tool to calculate cipw norm calculation full from the supplied measurements and assumptions.

When to use Geology Cipw Norm Calculation Full Calculator

Use this tool to calculate cipw norm calculation full from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.

How to use Geology Cipw Norm Calculation Full Calculator and understand its results

  1. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
  2. Enter callerSequentialNormAllocationMatrix, observedOxideMoles, callerNormMineralMolarMasses, using the field meanings and rules below, then run the tool.
  3. Read normMineralMasses, signedOxideClosureResiduals. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
callerSequentialNormAllocationMatrixCaller sequential norm allocation matrixlist of list of numberRequired
observedOxideMolesObserved oxide moleslist of numberRequired
callerNormMineralMolarMassesCaller norm mineral molar masseslist of numberRequired

Supply a dense square allocation matrix for 1–32 species, matched nonnegative oxide moles and positive mineral molar masses. Normalize matrix rows, choose the largest normalized pivot and use Gauss–Jordan elimination; pivots below 1e−12 fail. Require nonnegative solved mineral amounts, multiply them by molar masses, and return signed residuals A×solution−oxideMoles. The caller matrix controls allocation; no conventional sequential CIPW algorithm, oxide conversion or mineral ordering is installed.

A×mineralMoles=oxideMoles; mineralMass_i=mineralMoles_i×molarMass_i; closure=A×mineralMoles−oxideMoles

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
normMineralMassesNorm Mineral Masses; follow the units, sign, ordering and evidence convention stated abovelist of number
signedOxideClosureResidualsSigned Oxide Closure Residuals; follow the units, sign, ordering and evidence convention stated abovelist of number
json
{
  "input": {
    "callerSequentialNormAllocationMatrix": [
      [
        1,
        0
      ],
      [
        0,
        1
      ]
    ],
    "observedOxideMoles": [
      2,
      3
    ],
    "callerNormMineralMolarMasses": [
      10,
      20
    ]
  },
  "output": {
    "normMineralMasses": [
      20,
      60
    ],
    "signedOxideClosureResiduals": [
      0,
      0
    ]
  }
}

Limitations and assumptions

Solving a caller-supplied linear allocation matrix differs from supplying the full conventional CIPW sequence and its chemical preprocessing rules. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Geology Alumina Saturation Index Asi Calculator for this related task: An aluminum saturation index compares aluminum oxide moles with corrected calcium, sodium and potassium oxide moles.

Use Geology Peralkalinity Index Calculator when its separate inputs and assumptions fit the question: A peralkalinity index compares sodium-plus-potassium oxide moles with aluminum oxide moles.

References

  1. Geology Cipw Norm Calculation Full Calculator — tool.io

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