These subclasses are discussed separately in the following, each with the most suitable criterion.
3.3.1. Pure Substances: Elements and Chem. Compounds
Elements are commonly split up into metals, non-metals, and semi-metals, based on their bond type which dominates their properties. Semi-metals are the transition between metallic and covalent bond.
Figure 7 shows the elements split up that way, and examples that have at least been investigated as PCM.
Chem. compounds can be subdivided right away by material class, e.g. alkane, alcohol, which is straight forward, but not systematic and might lead to things being missed. In the previous discussion it was shown that chem. compounds must be formed by electron sharing or transfer, so must be molecules or salts. These could again be subdivided by their complexity, into small to large molecules and macromolecules (polymers), as well as simple and more complex salts like ionic liquids, as in
Figure 8.
It is hard to give a systematic classification to all, e.g. polyethylene glycol is an ether and a polymer, and polyvinyl alcohol is a polymer as well as an alcohol, but it is nevertheless helpful to make an attempt. Alkanol (alkane derived alcohol) is thus used instead of alcohol, which would include sugar alcohols. Due to its importance, the size of the molecule is here deciding where e.g. an alcohol belongs to.
The small to large molecules subclass can then be filled with various material classes, in different ways. A systematic analysis of elements and simple chemical compounds was performed by Mehling [
14], looking at data of 1120 different materials, and is giving some interesting insights for the next steps. Within small to larger molecules, materials suitable as PCM seem to be water and organic compounds, no other. Thus, it is logic to continue with both, separate due to their difference, as is shown in
Figure 8. Water, the most widely used PCM, has actually been forgotten completely in the common classification schemes. Organic compounds (Brown et al. [
11]) are compounds that contain carbon C, and hydrogen H, often in combination with oxygen O, nitrogen N, and other elements. Their importance here comes from the high variability and large number. The variability however also allows different ways of classification. Due to the four valence electrons of carbon C, the molecular structure of organic compounds can be
saturated or unsaturated (due to double or triple bonds),
branched or linear,
cyclic or open chain.
Further on, organic compounds differ by functional groups (attached to the rest R), e.g.
alcohols R-OH
carboxylic acids R-COOH
amines R-NH2
amides R-CON-R´R´´
esters R-COO-R´
The base case, saturated, linear, and open chain, without a functional group, are the normal or n-alkanes. Unsaturated, branched, or cyclic molecules usually have lower phase change enthalpy compared to their counterparts, at given phase change temperature (see e.g. Mehling [
14], Mehling and White [
15]). However, there are exceptions, and even if a compound has lower phase change enthalpy it is possible that availability at low price might make it a good candidate; thus, these are not criteria of top choice. Consequently, using e.g. alkane instead of n-alkane in a classification allows to include the variation. Often the term paraffin is used synonymously, but paraffins are mixtures of various alkanes. Also, in most cases potential PCM compounds have just one functional group, and typically attached at the end of R. However, there are significant exceptions, e.g. alcohols useful as PCM can be classified further as diols, triols … polyols (e.g. sugar alcohols), thus a general classification should not neglect these options. As a result, when discussing mixtures the classes used are alkanes, from alkanes derived alcohols (alkanols) incl. sugar alcohols, carboxylic acids (fatty acids), amines, amides, and esters.
Macro-molecules, when talking about PCM, refer to polymers (
Figure 8); they have hundreds to thousands of the same building blocks. Due to their large chain length polymers have very high viscosity in the liquid phase. It is not uncommon that they only change shape under a larger force, unlike liquids, and do not regain the initial shape if an applied force is removed, unlike solids. Such behavior is called plastic, specifically here thermoplastic. Polymers with that behavior are therefore called thermoplastics. Their phase change is precisely solid-plastic. Polymers also allow crosslinking the molecules by bonds; if done only at large distance they become elastomers, meaning they behave elastic all time, like a solid. If crosslinking is just at large distances the intermediate molecule parts can behave almost unaltered. While crosslinking causes a significant difference in the phase change behavior to solid-solid it is however a small change in the composition. It is also possible to attach the molecules that act as PCM at one end to the chain of a different molecule; this acts as backbone, allows them to loosen interaction along their molecules, but not completely. The backbone can be a polymer, a molecule of smaller size, and actually even attachment on a surface. The choice here for further classification is the material class, e.g. polyethylene, to be similar to the classification elsewhere, but also as classification to thermoplastics etc. is here not relevant; actually, it is even confusing when talking about the possibilities of mixtures. It is thus not shown in
Figure 8, but if of specific interest it can be used for an individual classification.
Salts (
Figure 8) are composed of ions, which might be formed by atoms or by small to larger molecules. This allows the formation of salts of different complexity, both ions from atoms have e.g. NaCl and LiF, one from a small molecule e.g. NaNO
3 and Na
2CO
3, both from a small molecule e.g. NH
4NO
3, and both ions from larger molecules e.g. C
3H
5N
2+CH
3SO
3- (Matuszek et al. [
16]). The complex ones often have lower phase change temperature, and due to the phase change solid-liquid are thus called ionic liquids.
3.3.2. Non-Pure Substances, Meaning Mixtures
Pure substances are elements, or chemical compounds which are composed of two or more elements in integer proportions, e.g. in H
2O being H:O as 2:1. Origin of the integer proportions are primary bonds: molecules have covalent bonds, salts have ionic bonds, built by electron sharing respectively transfer. Due to their fixed composition, pure substances have well defined physical and chemical properties, e.g. melting and boiling point. In contrast, non-pure substances are mixtures that have variable composition, thus variable physical and chemical properties. Substances combined in a mixture are called component (Atkins [
10]); the ratio states the composition. Origin of possible variable composition, instead fixed, is a bonding that is neither covalent nor ionic; e.g. metal - metal mixtures (called alloys, metallic bond), water - salt mixtures (permanent dipole - ion), water - alcohol mixtures (permanent dipole - permanent dipole), water - O
2 mixtures (permanent dipole - induced dipole), and alkane - alkane mixtures (induced dipole - induced dipole). Despite having overall variable composition, there is still the possibility of specific proportions; origin is a geometric arrangement of the constituents. An example are salt hydrates, where one of the salt ions is surrounded by a specific number of water molecules.
Figure 9 shows a phase diagram (schematic) of H
2O - CaCl
2 mixtures, for a wide composition range. There are several salt hydrates: CaCl
2∙2H
2O, CaCl
2∙4H
2O, and CaCl
2∙6H
2O. At about 30wt.% the composition is eutectic; the liquid solidifies at a lowest temperature, here to solid ice and CaCl
2∙6H
2O. Eutectic transitions (at the corresponding composition) are between a homogeneous liquid and two or more solid phases; they show a phase change temperature, not a phase change temperature range, and typically solidification without phase separation. They are desirable, however other transition can also be useful. Regarding classification several things are important. Being a mixture, the phase change temperature and enthalpy varies with composition, and accordingly several compositions might be useful as PCM, here pure H
2O, the salt hydrate CaCl
2∙6H
2O (sometimes modified), and a eutectic H
2O - CaCl
2 mixture. The type of phase transition can be congruent, incongruent, or semicongruent, and mixtures can also be homogeneous or inhomogeneous (e.g. if not congruent). None of these properties can be generalized. Thus, if two components, e.g. H
2O and CaCl
2 can be mixed, the outcome depends on the mixing ratio and depending on the individual case can be anything from useful as PCM to useless.
With a focus that is development-oriented towards new PCM, to expand the choice of materials, the first, crucial question is what can be mixed? Then what has been mixed, and what was the outcome?
With regard to the question what can be mixed the theoretical background allows to have expectations. To form a mixture, atoms or molecules of the components to be mixed must loosen their bonds, and form new bonds with those of other components, e.g. in water-salt mixtures the water bonds (permanent dipole) and the salt bonds (ion) are loosened and new bonds are then formed (permanent dipole - ion). There is one exception: inclusion compounds, e.g. gas hydrates; here the better energetic stability does not come from new bonds but from energetic optimization of the water by a modified crystal cage. Important is also that molecules can have more than one type of bond, e.g. alkanols and fatty acids have molecule parts with a permanent dipole at their functional group as well as induced dipole at the rest. Consequently, looking at the atoms and molecules a first expectation what can be mixed can be justified. Classification schemes found in literature (
Figure 3, 4, and 5) have used organic, inorganic, and mixtures thereof for classification, however as explained before organic and inorganic are not useful. As a consequence, here the previously identified subclasses are used: from elements metals and semi-metals, from molecules water, alkanes, from alkanes derived alkanols incl. sugar alcohols, carboxylic acids (fatty acids), amines, amides, and esters, the polymers, and from salts simple and complex ones.
Binary mixtures, meaning mixtures of two components, are by far the most common ones in PCM R&D. To give an overview of the material options for the search for new, suitable PCM candidates, including already established PCMs, classification of binary mixtures is essential. An overview shows
Figure 10, splitting binary mixtures into ones of the same subclass and those of different subclasses.
Binary mixtures of the same subclass, e.g. alkane - alkane binary mixtures, are straight forward. Generally, a positive outcome can be expected for mixing as both components have the same bond type, as well as suitability as PCM because the subclasses themselves have already shown to be promising. A review of available literature showed that this has been already experimentally verified for alkane - alkane binary mixtures (e.g. Mondieig et al. [
17], Gunasekara [
18]), alkanol - alkanol binary mixtures (e.g. Gunasekara [
18]), sugar alcohol - sugar alcohol binary mixtures (e.g. Palomo Del Barrio et al. [
19], Gunasekara [
18]), fatty acid - fatty acid binary mixtures (e.g. Bidiyasar et al. [
20], Zhou et al. [
21]), ester - ester binary mixtures (e.g. Rubio-Pérez et al. [
22]), polymer - polymer binary mixtures (e.g. Stewart et al. [
23]), simple salt - simple salt binary mixtures (e.g. Gunasekara [
18], Maldonado et al. [
24]), and metal - metal binary mixtures (e.g. Gunasekara [
18], Maldonado et al. [
24]).
Binary mixtures of different subclass can be classified in different ways. Here the choice is made to start with mixtures where water is a major component, as water significantly reduces the cost of mixtures. Water - alkanol binary mixtures exist, and potential PCM are identified (e.g. Rathgeber et al. [
25]). Water - simple salt binary mixtures are extensively used as PCM, eutectics at temperatures below zero (e.g. Yang et al. [
26]), and salt hydrates above zero (e.g. Gunasekara [
18] and many other authors). For alkanes, potential PCM were found in alkane - alkanol binary mixtures (e.g. Rathgeber et al. [
27]), alkane - fatty acid binary mixtures (e.g. Rathgeber et al. [
27]), as well as alkane - ester binary mixtures (e.g. Rubio-Pérez et al. [
22]). Potential PCM can also be found in alkanol - fatty acid binary mixtures (e.g. Rathgeber et al. [
27]), as well as fatty acid - ester binary mixtures (e.g. Rubio-Pérez et al. [
22]). Binary mixtures between metals and semi-metals also exist, and were discussed as PCM (SERI [
28]).
The previous examples show that already the binary mixtures where potential PCM were found cannot be displayed together with the others in a single classification scheme anymore. A comprehensive coverage requires a classification only for binary mixtures.
For ternary mixtures, similar as for binary mixtures, all three components can be from the same subclass (e.g. alkane - alkane - alkane ternary mixture), from two different ones (e.g. water - salt - salt ternary mixture), or from three different ones (e.g. water - salt - alkanol ternary mixture). Taking into account the number of different alkanes, alkanols etc., the number of binary or ternary combinations is already uncountable. On top comes that each component can be present at various concentrations in the mixture, thus lead to several new PCMs. For example, for water - salt binary mixtures it is common that one or several salt hydrates exist, and a eutectic of water and the hydrate with highest number of water molecules at subzero temperatures. Also, in ternary mixtures it is not uncommon that one component is rather an additive of minor amount, with the goal to only slightly improve the thermal performance of the binary system of main components.
Figure 11 finally summarizes the classification of PCM as suggested here.