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In ceramics, the chemistry of fired glazes is expressed as an oxide formula. There are direct links between the oxide chemistry and the fired physical properties.
Conceptually we consider fired ceramic glazes as being composed of 'oxides' (materials contribute these). Ten major oxides likely make up 99% of all base glazes (and materials we use). The oxide formula of a glaze "explains" many details about the way it fires (provided all the materials in the glaze dissolve in the melt). There is some redundancy with this term, sometimes people refer to "glaze formulas" when what they actually mean is "glaze recipes".
A formula expresses an oxide mix according to the relative numbers of molecule types (in contrast to a chemical analysis that compares them by weight). A formula is suited to analyzing and predicting properties of a fired glaze or glass because it gives us a picture of the molecular structure that is responsible for fired behavior. Since the kiln fires build these oxide molecules onebyone into a structure, it follows that one will never fully 'understand' why a glaze fires the way it does without seeing its oxide formula.
Formulas are flexible. We can arbitrarily retotal one without affecting the relative numbers of oxide molecules. In fact, this retotaling of a formula is standard procedure to produce a Seger unity formula or a Mole% formula. With a formula, you need not worry whether there is 1 gram, 1 ton, or one billion molecules, only relative numbers matter. This is why it is allowable to express a formula showing molecule parts (e.g. 0.4 MgO; in reality this would not occur, but on paper a formula helps us compare relative numbers of oxide molecules in a ratio).
An example of a raw formula:
Fluxes RO 
Intermediates R2O_{3} 
Glass Formers RO_{2} 

K_{2}O CaO MgO ZnO 
0.5 1.3 0.2 0.1 
Al_{2}O_{3}  0.9  SiO_{2}  9.0 
Notice in the above that oxides are grouped into three columns: the bases, acids, and amphoterics (or simply as the RO, R2O_{3}, and RO_{2} oxides; where "R" is the element combining with oxygen). Actually, the ratio of R to O is significant. The right column has the greatest oxygen component, the left has the least. Simplistically, we can view these three groups as the silica:alumina:fluxes system. This latter convention is not really correct because there are more glass builders than SiO_{2} , other intermediates besides Al_{2}O_{3}, and the RO's do more than just flux. Ancient potters referred to these three as the blood, flesh, and bones of a glaze (not a bad way to think of it).
Any formula has a formula weight, that is, the total calculated weight for that mix of molecules. Atomic weights are published in any ceramic text so it is easy to calculate the weight of each oxide. Calculating the weight of the whole is just a matter of simple addition and then increasing that weight to account to LOI.
Insightlive normally determines the unity of formulas it calculates automatically. If the RO oxides total is greater than R2O_{3}/2 it is deemed flux unity. Otherwise it is R2O_{3} unity.
Insightlive is calculating the unity formula and mole% formula for the two glazes. Notice how different the formula and mole% are for each (the former compares relative numbers of molecules, the latter their weights). The predominant oxides are very different. The calculation is accurate because all materials in the recipe are linked (clickable to view to the right). Notice the Si:Al Ratio: The matte is much lower. Notice the calculated thermal expansion: The matte is much lower because of its high levels of MgO (low expansion) and low levels of KNaO (high expansion). Notice the LOI: The matte is much higher because it contains significant dolomite.
Recipes show us the materials in a glaze but formulas list oxide molecules and their comparative quantities. Oxides construct the fired glass. The kiln deconstructs ceramic materials to get the oxides, discards the carbon, sulfur, etc. and builds the glass from the rest. You can view glazes as recipesofmaterials or as formulasofoxides. Why use formulas? Because there is a direct relationship between the properties a fired glaze has (e.g. melting range, gloss, thermal expansion, hardness, durability, color response, etc) and the oxides it contains (links between firing and recipe are much less direct). There are 810 oxides to know about (vs. hundreds of materials). From the formula viewpoint materials are sourcesofoxides. While there are other factors besides pure chemistry that determine how a glaze fires, none is as important. Insightlive automatically shows you the formulas of your recipes and enables comparing them sidebyside. Click the "Target Formula" link (on this post at digitalfire.com) to see what each oxide does.
Mineral sources of oxides impose their own melting patterns and when one is substituted for another to supply an oxide a different system with its own relative chemistry is entered. An extreme example of this would be to source Al_{2}O_{3} to a glaze using calcined alumina instead of kaolin. Although the formula may be exactly the same, the fired result would be completely different because very little of the alumina would dissolve into the glaze melt. At the opposite extreme, a different frit could be used to supply a set of oxides (while maintaining the overall chemistry of the glaze) and the fired result would be much more chemically predictable. Why? Because the readily and release their oxides the the melt.
All common traditional ceramic base glazes are made from only a dozen elements (plus oxygen). Materials decompose when glazes melt, sourcing these elements in oxide form. The kiln builds the glaze from these, it does not care what material sources what oxide (assuming, of course, that all materials do melt or dissolve completely into the melt to release those oxides). Each of these oxides contributes specific properties to the glass. So, you can look at a formula and make a good prediction of the properties of the fired glaze. And know what specific oxide to increase or decrease to move a property in a given direction (e.g. melting behavior, hardness, durability, thermal expansion, color, gloss, crystallization). And know about how they interact (affecting each other). This is powerful. And it is simpler than looking at glazes as recipes of hundreds of different materials (each sources multiple oxides so adjusting it affects multiple properties).
Desktop Insight was the first to enable users to compare two recipes and their formulas sidebyside and interactively update when recipe changes were made. It also enabled users to show formulas and analyses sidebyside.
Powdered samples were sent to the lab. The numbers shown on this report are in percentagebyweight. That means, for example, that 15.21% of the weight of the dry powder of Alberta Slip is Al_{2}O_{3}. Insightlive knows material chemistries in this way (whereas desktop Insight needs them as formulas). Some nonoxide elements are quantified as partspermillion (these amounts are not normally high enough to take into account for traditional ceramic purposes). The LOI column shows how much mechanically and chemically bound water are gassed off during firing of the sample. The total is not exactly 100 because of inherent error in the method and compounds not included in the report.
Glossary 
Formula Weight


Glossary 
Chemical Analysis
In ceramics, raw material chemistry is expressed a chemical analyses. This is in contrast to fired glaze chemistries which are expressed as oxide formulas. 
Glossary 
Frit
Frits are used in ceramic glazes for a wide range of reasons. They are manmade materials of controlled chemistry with many advantages or raw materials. 
Glossary 
Unity Formula
The chemistry of ceramic glazes are normally expressed as formulas. A unity formula has been retotaled to make the numbers of flux oxides total one. 
Glossary 
Ceramic Oxide
In glaze chemistry, the oxide is the basic unit of formulas and analyses. Knowledge of what materials supply an oxide and of how it affects the fired glass or glaze is a key to control. 
Oxides  KNaO  Potassium/Sodium Oxides 
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