Clinker: compositional parameters

Parameters based on the oxide composition are very useful in describing clinker characteristics. The following parameters are widely used (chemical formulae represent weight percentages):

Lime Saturation Factor

The LSF is a ratio of CaO to the other three main oxides. Applied to clinker, it is calculated as:

LSF=CaO/(2.8SiO2 + 1.2Al2O3 + 0.65Fe2O3)

Often, this is referred to as a percentage and therefore multiplied by 100.

The LSF controls the ratio of alite to belite in the clinker. A clinker with a higher LSF will have a higher proportion of alite to belite than will a clinker with a low LSF.

Typical LSF values in modern clinkers are 0.92-0.98, or 92%-98%.

Values above 1.0 indicate that free lime is likely to be present in the clinker. This is because, in principle, at LSF=1.0 all the free lime should have combined with belite to form alite. If the LSF is higher than 1.0, the surplus free lime has nothing with which to combine and will remain as free lime.

In practice, the mixing of raw materials is never perfect and there are always regions within the clinker where the LSF is locally a little above, or a little below, the target for the clinker as a whole. This means that there is almost always some residual free lime, even where the LSF is considerably below 1.0. It also means that to convert virtually all the belite to alite, an LSF slightly above 1.0 is needed.

The LSF calculation can also be applied to Portland cement containing clinker and gypsum if (0.7 x SO3) is subtracted from the CaO content. (NB: This calculation (ie: 0.7 x SO3) does not account for sulfate present as clinker sulfate in the form of potassium and sodium sulfates) and this will introduce a slight error. More particularly, it does not account for fine limestone or other material such as slag or fly ash in the cement. If these materials are present, calculation of the original clinker LSF becomes more complex. Limestone can be quantified by measuring the CO2 content and the formula adjusted accordingly, but if slag or fly ash are present, calculation of the original clinker LSF may not be conveniently practicable.)

Silica Ratio (SR)

The silica ratio (also known as the Silica Modulus) is defined as:

SR = SiO2/(Al2O3 + Fe2O3)

A high silica ratio means that more calcium silicates are present in the clinker and less aluminate and ferrite. SR is typically between 2.0 and 3.0.

The silica ratio is sometimes called the ‘silica modulus.’

Alumina Ratio (AR)

The alumina ratio is defined as:


This determines the potential relative proportions of aluminate and ferrite phase in the clinker.

An increase in clinker AR (also sometimes written as A/F) means there will be proportionally more aluminate and less ferrite in the clinker. In ordinary Portland cement clinker, the AR is usually between 1 and 4.

The above three parameters are those most commonly used. A fourth, the 'Lime Combination Factor' (LCF) is the same as the LSF parameter, but with the clinker free lime content subtracted from the total CaO content. With an LCF=1.0, therefore, the maximum amount of silica is present as C3S.

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The following pages have more details on clinker composition, reactions in the kiln and cement milling:

Notation / Bogue calculation / Combinability / Reactions in the kiln / Cement milling

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