Understanding Gemological Formulas


Gemological formulas identify the chemical composition of gems and minerals. Learn what the symbols, numbers, and parentheses mean.

1 Minute Read

The chemical composition of a mineral is a primary aspect of its definition as a species. That composition can be expressed in a chemical formula that identifies the elements and proportionate number of atoms in a molecule or chemical compound of that mineral. Gemological formulas are chemical formulas of minerals and other materials of interest in the world of jewelry and gem collecting. For example, quartz has a chemical formula of SiO2, one atom of silicon to two atoms of oxygen.

Substitutions in Gemological Formulas

Many gemological formulas contain elements grouped in parentheses with commas, for example (Fe, Mg). This indicates that either iron (Fe) or magnesium (Mg), or both, may occupy a specific position in the crystal structure. The element listed first within a parenthesis is the one present in a greater amount on the structural site. In some cases this determines the species!

For example, amblygonite is (Li, Na) Al (PO4) (F, OH).

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This article is also a part of our Professional Gemologist Certification Course, in the unit An Introduction to Gemology.

However, if the formula reads (Li, Na) Al (PO4) (OH, F), we have a new species, montebrasite, in which hydroxyl (OH) exceeds fluorine (F).

Furthermore, if the formula is (Na, Li) Al (PO4) (OH, F), then sodium (Na) exceeds lithium (Li). Thus, we class the mineral as yet another species, natromontebrasite.* Obviously, the degree of complexity associated with solid solutions can be very great. Any substitution of elements on a crystallographic structural site may (or may not) have an effect on physical properties.

Impurities

Impurities can also affect properties. A good example is beryl, Be3Al2Si6O18. Beryl often contains elements such as iron (Fe), manganese (Mn), chromium (Cr), vanadium (V), and cesium (Cs). Since these elements are usually present in such small quantities, they're not written into the gemological formula. However, there are exceptions. For example, when Cr is present in a beryl sample (giving it the rich green color we know as emerald), gemologists know to substitute Cr for aluminum (Al) in the formula.

A detailed knowledge of chemical substitutions and color changes in crystals requires a much greater sophistication in crystal chemical principles than I can expound here.

* Editor's note: As of 2006, the International Mineralogical Association (IMA) no longer considers natromontebrasite a mineral species. It is now considered a mixture of amblygonite, lacroixite, and wardite.


Joel E. Arem, Ph.D., FGA

Dr. Joel E. Arem has more than 60 years of experience in the world of gems and minerals. After obtaining his Ph.D. in Mineralogy from Harvard University, he has published numerous books that are still among the most widely used references and guidebooks on crystals, gems and minerals in the world.

Co-founder and President of numerous organizations, Dr. Arem has enjoyed a lifelong career in mineralogy and gemology. He has been a Smithsonian scientist and Curator, a consultant to many well-known companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com

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{"cc_re__cc_re__cc_by_sa_3_0_le": ["rder:none;margin:auto;display:block;width:0;height:0;min-width:100%;max-width:100%;min-height:100%;max-height:100%;object-fit:cover\" loading=\"lazy\"/></noscript></span></span></a><figcaption>Quartz crystals, Huaron, Peru. <a class=\"CjrDd\" href=\"https://commons.wikimedia.org/wiki/File:Quartz_Japan_Twin_Huaron_Peru.jpg\" rel=\"nofollow external\">Photo</a>\u00a0by <a class=\"CjrDd\" href=\"http://commons.wikimedia.org/wiki/User:Archaeodontosaurus\" rel=\"nofollow external\">Didier Descouens</a>. Licensed under <a class=\"CjrDd\" href=\"http://creativecommons.org/licenses/by-sa/3.0/legalcode\" rel=\"nofollow external\">CC By-SA 3.0</a>.</figcaption></figure><h2 class=\"ptTjG DFGo_ fWj1q\" data-name=\"Substitutions_in_Gemological_Formulas\">Substitutions in Gemological Formulas</h2><p class=\"kukmm uxbr6\">Many gemological formulas contain elements grouped in parentheses with commas, for example (Fe, Mg). This indicates that either iron (Fe) or magnesium (Mg), or both, may occupy a specific position in the crystal structure. The element listed first within a parenthesis is the one present in a greater amount on the s", "r:none;margin:auto;display:block;width:0;height:0;min-width:100%;max-width:100%;min-height:100%;max-height:100%;object-fit:cover\" loading=\"lazy\"/></noscript></span></span></a><figcaption>Faceted montebrasites, Brazil. <a class=\"CjrDd\" href=\"https://commons.wikimedia.org/wiki/File:Montebrasite.jpg\" rel=\"nofollow external\">Photo</a>\u00a0by <a class=\"CjrDd\" href=\"http://commons.wikimedia.org/wiki/User:Zimbres\" rel=\"nofollow external\">Enrique Zimbres</a>.\u00a0Gem cutting by Afonso Marques. Licensed under <a class=\"CjrDd\" href=\"http://creativecommons.org/licenses/by-sa/3.0/legalcode\" rel=\"nofollow external\">CC By-SA 3.0</a>.</figcaption></figure><p class=\"kukmm uxbr6\">Furthermore, if the formula is (Na, Li) Al (PO<sub>4</sub>) (OH, F), then sodium (Na) exceeds lithium (Li). Thus, we class the mineral as yet another species, natromontebrasite.* Obviously, the degree of complexity associated with solid solutions can be very great. Any substitution of elements on a crystallographic structural site may (or may not) have an effect on physical properties.</p><h2 class=\"ptTjG DFGo_ fWj1q\" data-name=\"Impur"], "copyright__copyright__copyright": ["n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. 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Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!", "n companies and institutions, and a prolific author and speaker. Although his main activities have been as a gem cutter and dealer, his focus has always been education. joelarem.com\n\nNever Stop Learning\n\nWhen you join the IGS community, you get trusted diamond & gemstone information when you need it.\n\nBecome a Member\n\nGet Gemology Insights\n\nGet started with the International Gem Society\u2019s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!"]}