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A QAPF diagram is a used to classify based on their . The QAPF stands for ", , , (foid)", which are the four groups used for classification in a QAPF diagram. The percentages (ratios) of the Q, A, P and F groups are normalized, i.e., recalculated so that their sum is 100%.


Origin
QAPF diagrams are created by the International Union of Geological Sciences (IUGS): Subcommission on the Systematics of Igneous Rocks as fostered by Albert Streckeisen (whence their alternative name: Streckeisen diagrams). Geologists worldwide use the diagrams in classifying igneous, especially plutonic rocks.
(2025). 9780521880060, Cambridge University Press.


Usage
QAPF diagrams are mostly used to classify ( rocks), and can be used to classify () if modal mineralogical compositions have been determined (for an example, see ). But QAPF diagrams are not used to classify or volcanic rocks if modal mineralogical compositions are not determined; there the TAS classification (Total-Alkali-Silica) is used instead. TAS is also used if volcanic rock contains volcanic glass (such as ).

QAPF diagrams are not used if make up more than 90% of the rock composition (for example: and ). Instead, an alternate triangle plot diagram is used; (see Streckeisen diagram, lower right.)

An exact name can be given only if the mineralogical composition is established, which cannot be determined in the field.


Reading the QAPF diagram
The QAPF diagram presents for use the proportions (ratios) of four plutonic mineral(s) or mineral groups, which are: (Q), the (A), the (P), and the (F).

Because F and Q groups cannot simultaneously form in plutonic rocksdue to the difference in their respective silica contentsthe QAPF diagram is drawn as two mutually exclusive , i.e., QAP and FAP. These are joined along one side such that, between them, each of the two triangle plots exclude either the Q group or F group minerals. (Other mineral groups may occur in samples, but they are disregarded in this classification method.)

To use this classification method, the concentrations (the modes) of the four mineral groups must be determined or estimated, and then normalized to 100%. Thus, for a rock identified as having, say, 20% mica, 30% quartz (Q), 30% alkali feldspar (A), and 20% plagioclase (P), the mica is disregarded, and the normalized ratios (proportions) of the Q, A, and P groups are calculated as 37.5%, 37.5% and 25% = 100%.

* i.e., (30 + 30 + 20= 80; then 30/80= 37.5%, 30/80= 37.5%, and 20/80= 25%; therefore 37.5 + 37.5 + 25= 100%).
Of these, the (again) normalised relative proportions of A and P are 37.5/62.5 = 60% and 25/62.5 = 40%. The rock can now be plotted on the diagram by finding a horizontal line representing 37.5% quartz and then plotting a point on it 60% of the way across from the A side to the P side. For this example the rock can be classified as a Monzogranite.

And, a plutonic rock that contains no feldspathoids (F group), no alkali feldspar (A group), but contains plagioclase-feldspar (P group), many (not labeled in a QAPF diagram), and few quartz grains (Q group)is probably gabbro; (see right edge of the Streckeisen diagram, at side P).

This diagram makes no distinction between rock types at the same QAPF plot position and classification, but of different bulk chemical compositions with respect to other minerals such as olivine, pyroxenes, amphiboles or micas. For example, because non-Q, -A, -P and -F minerals are disregarded the system does not distinguish between , , and .

The QAPF diagram is not used for all plutonic rocks; the are the most important of groups that have separate classification diagrams; (see Streckeisen diagram).


Further reading
  • Streckeisen, A. L., 1978. IUGS Subcommission on the Systematics of Igneous Rocks. Classification and Nomenclature of Volcanic Rocks, Lamprophyres, Carbonatites and Melilite Rocks. Recommendations and Suggestions. Neues Jahrbuch für Mineralogie, Abhandlungen, Vol. 141, 1–14.
  • Le Maitre, R.W. 2002. Igneous Rocks: A Classification and Glossary of Terms : Recommendations of International Union of Geological Sciences Subcommission on the Systematics of Igneous Rocks. Cambridge University Press, 236pp.


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