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Formula


Conceptually we consider fired ceramic glazes as being composed of 'oxides' (materials contribute these). The 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 the glaze fires (provided all the materials in the glaze dissolve in the melt). That means we can predict what will happen during firing and we can propose changes that have a high likelihood of fixing a problem or moving a glaze property in a certain direction. The chemistry of glazes are normally expressed as formulas (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. A formula is suited to analyzing and predicting properties of a fired glaze or glass. It gives us a picture of the molecular structure that is responsible for fired behavior. Since the kiln fires build these oxide molecules one-by-one 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
R2O3
Glass Formers
RO2
K2O
CaO
MgO
ZnO
0.5
1.3
0.2
0.1
Al2O3 0.9 SiO2 9.0


Notice in the above that oxides are grouped into three columns: the bases, acids, and amphoterics (or simply as the RO, R2O3 , and RO2 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 SiO2 , other intermediates besides Al2O3, and the RO's do more than just flux. But because this method evokes immediate recognition, let's use it anyway. 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.

Insight-live normally determines the unity of formulas it calculates automatically. If the RO oxides total is greater than R2O3/2 it is deemed flux unity. Otherwise it is R2O3 unity. However by clicking on the "Unity" heading above the formula users can cycle between automatic unity, RO unity, R2O3 unity and NoUnity.

Example of a whole rock chemical analysis lab report

Example of a whole rock chemical analysis lab report

Powdered samples were sent to the lab. The numbers shown on this report are in percentage-by-weight. That means, for example, that 15.21% of the weight of the dry powder of Alberta Slip is Al2O3. Insight-live knows material chemistries in this way (whereas desktop Insight needs them as formulas). Some non-oxide elements are quantified as parts-per-million (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.

Desktop INSIGHT showing formula and analysis side-by-side

Desktop INSIGHT showing formula and analysis side-by-side

Desktop Insight was the first to enable users to compare two recipes and their formulas side-by-side and interactively update when recipe changes were made. It also enabled users to show formulas and analyses side-by-side.

Ceramic Oxide Periodic Table

Ceramic Oxide Periodic Table

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).

A Limitation of the Seger Unity Formula

A Limitation of the Seger Unity Formula

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 Al2O3 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.

A limit or target glaze formula. What does this mean?

A limit or target glaze formula. What does this mean?

Recipes show us the materials in a glaze but formulas list oxide molecules and their comparative quantities. Oxides construct the fired glass. The kiln de-constructs ceramic materials to get the oxides, discards the carbon, sulfur, etc. and builds the glass from the rest. You can view glazes as recipes-of-materials or as formulas-of-oxides. 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 8-10 oxides to know about (vs. hundreds of materials). From the formula viewpoint materials are sources-of-oxides. While there are other factors besides pure chemistry that determine how a glaze fires, none is as important. Insight-live automatically shows you the formulas of your recipes and enables comparing them side-by-side. Click the "Target Formula" link (on this post at digitalfire.com) to see what each oxide does.

Insight-Live comparing a glossy and matte cone 6 base glaze recipe

Insight-Live comparing a glossy and matte cone 6 base glaze recipe

Insight-live 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.

Out Bound Links

  • (Videos) Substituting Materials by Weight: Why it does not work!

    Consider a puzzling question using Insight. Double-click wollastonite. Has 1:1 CaO:SiO2 Show recipe window with recipe 1 as 20 whiting, 20 silica, 40 feldspar, 20 kaolin; recipe 2 as 40 feldspar, 20...

  • (Glossary) Analysis

    Conceptually we consider fired glazes as being composed of 'oxides'. Materials supply those oxides to the melt. The 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 the glaze fires. Thus we can view m...

  • (Glossary) Oxide

    An oxide is a combination of oxygen and another element. There are only about ten common oxides that we need to learn about (most glazes have half that number). CaO (a flux), SiO2 (a glass former) and Al2O3 (an intermediate) are examples of oxides. CaO (calcium oxide or calcia), for example, is cont...

  • (Glossary) Unity Formula

    A "unity formula" is just a formula that has been retotaled so that the RO group of oxides totals one. This is also called a Seger formula and this standard provides one basis for comparing glazes. The three column format of expressing a formula was first used by Hermann Seger. The unity is normally...

  • (Articles) Glaze Chemistry Basics - Formula, Analysis, Mole%, Unity, LOI

    Part of changing your viewpoint of glazes, from a collection of materials to a collection of oxides, is learning what a formula and analysis are, how conversion between the two is done and how unity and LOI impact this.

  • (Articles) How INSIGHT Deals With Unity, LOI and Formula Weight

    INSIGHT enables you to enter material analyses as recipes as a first step to inserting them into the materials database. Imposing an LOI and understanding how to set unity and its connection for formula weight are important concepts.

  • (Oxides) KNaO - Potassium/Sodium Oxides
  • (Glossary) Frit

    A ceramic glass that has been premixed from raw powdered minerals and then melted, cooled by quenching in water, and ground into a fine powder (search youtube for interesting videos). Huge quantities and varieties of frits are manufactured for the ceramic industry every year (especially for tile) by...

In Bound Links

  • (Glossary) Formula Weight

    Quite simply, the weight of a formula. Typically, in glaze chemistry, when we refer to formula weight it is assumed we are talking about the weight of the fired formula of a glaze (without LOI and volatiles). However is is possible to also talk about the formula weight of a material (although materi...

  • (Videos) Lesson 1A - Comparing a Theoretical and a Real-World Feldspar

    This video is packed with information. Transcript: Video 1C - Comparing a Theoretical and a Real-World Feldspar 1 Entering recipes, materials and the materials database, theoretical materials,...

  • (Videos) Lesson 5A - Glaze Formula to Batch Calculations

    Shows you how to use a non-unity calculation and the supply button to convert a formula into a batch recipe. You will find out how to match a target formula exactly using theoretical materials and how...


By Tony Hansen




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