Geological mineral formula normalization calculator

Calculate normalized cations by element and oxygen-equivalent scaling factor with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use normalized cations by element and oxygen-equivalent scaling factor to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Oxides [element label,mass %,oxide molar mass,cations per oxide,oxygens per oxide]
[["Si",50,60.0843,1,2],["Al",20,101.9613,2,3],["Mg",30,40.3044,1,1]]
Normalization oxygen basis
6
Normalized cations by element
[["Al",0.785364724082],["Mg",1.4901004898],["Si",1.66592621204]]
Oxygen-equivalent scaling factor
2.00192

Try another scenario

Oxides [element label,mass %,oxide molar mass,cations per oxide,oxygens per oxide]
[["Si",50,60.0843,1,2],["Al",20,101.9613,2,3],["Mg",30,40.3044,1,1]]
Normalization oxygen basis
8
Normalized cations by element
[["Al",1.04715296544],["Mg",1.98680065307],["Si",2.22123494938]]
Oxygen-equivalent scaling factor
2.669227
Calculation method

Calculation method

Normalized cations by element

Compute oxide moles per100 mass units, sum oxygen equivalents, scale to supplied oxygen basis; combine repeated elements.

Oxygen-equivalent scaling factor

Basis / total molar oxygen equivalents.

Symbols and units
a
Oxides [element label,mass %,oxide molar mass,cations per oxide,oxygens per oxide]
b
Normalization oxygen basis

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Oxide fractions, molecular constants, oxygen basis. Returns Normalized elemental proportions. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Normalization oxygen basis: minimum 1e-12, maximum 1000000000000.0.
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