1. Introduction
Plasticizers are liquids at ambient temperature with relatively high molecular weight or, less frequently, low melting point solids which are added to a polymer matrix to change its viscoelastic properties [
1,
2,
3,
4,
5,
6,
7,
8,
9]. The changes in the physical properties of the polymer matrix have many consequences starting from an improved processability, passing through an increased flexibility of the resulting polymer compound and leading to improved low temperature performances [
1,
2,
3,
4,
5,
6,
7,
8,
9]. The latter result is achieved because the plasticizer is often a liquid characterized by a lower glass transition temperature (T
g) than the guest polymer matrix leading to a shift of the compound T
g toward lower temperatures. Indeed, the plasticizer efficiency is often measured by the degree of glass transition temperature shift toward lower temperatures of the resulting plasticized compound (T
gc) with respect to the glass transition of the raw polymer (T
gp) so that ΔT
g = T
gp - T
gc [
1,
2,
3,
4,
5,
6,
7,
8,
9]. However, the ΔT
g is most pronounced in polymers with rigid chains (e.g. PVC) whereas the plasticizer causes a shift of the order of 100°-160°C. On the other hand, the effect of plasticizers on already flexible and rubber-like polymer is much less pronounced and limited to a ΔT
g shift to just few tents of °C toward lower temperatures [
1,
2,
3,
4,
5,
6,
7,
8,
9]. For rubbers already characterized by low glass transition temperature values (e.g. natural rubber T
g = -72°C or high cis-polybutadiene with Tg = -105°C), the plasticizer effect can cause a ΔT
g ≈ -10°C [
10,
11]
. For each given type of polymer or polymer blend, the efficiency of a plasticizer is measured by the degree of ΔT
g it is able to cause with respect to another plasticizer. Furthermore, at least for polar polymers (and with a series of limitations) a simple relationship has been found: ΔT
g = kn with k a proportionality constant and n the moles of plasticizer added, suggesting that the glass transition temperature shift is directly proportional by the amount of the plasticizer added [
3]. On the other hand, for apolar polymers it holds a similar relationship: ΔT
g = kϕ, where ϕ is the volume fraction of the plasticizer [
3]. Another simple relationship for the determination of the compound glass transition is the following [
8]:
where ω
1 and ω
2 are the weight fractions respectively of polymer and plasticizer while T
1 and T
2 values are the respective glass transition temperatures. Other relationships for the estimation of the glass transition of a plasticized compound can be found in ref. [
8].
It is worth at this point to survey very shortly the three main theories of plasticization mechanism: the lubricity theory, the gel theory and the free volume theory. It is also interesting to note that the latter theory includes also the other two [
1,
2,
3,
4,
5,
6,
7,
8,
9].
The lubricity theory [
1,
2,
3,
4,
5,
6,
7,
8,
9] starts from the observation that in a pure polymer the resistance to deformation and flow derives from the intermolecular friction between adjacent polymer chains which are in direct contact. The introduction of the plasticizer molecules between the polymer chains facilitate the movement of the chain segments through a slippage mechanism provided by the lubricating action of the plasticizer.
The gel theory [
1,
2,
3,
4,
5,
6,
7,
8,
9] represents a further step ahead with respect to the lubricity theory. It starts from the idea that in amorphous polymers the resistance to deformation derives from a model structure of the polymer intended as three-dimensional or honeycomb-type structure which can be defined also as a gel structure. Such a gel structure is conceived as derived from loose attachments or secondary forces which occur at rather regular intervals along the polymer chains and hence in the matrix. The introduction of a plasticizer in such honeycomb structure has the effect to break the loose attachments and to mask the center of forces by preventing the reformation of the three-dimensional macromolecular interaction. It is admitted that the masking action of the force centers derives from the fact that the polymer chain segments are solvated by the plasticizer. Solvation is always intended in a dynamic way so that each chain segment is solvated and de-solvated and sometimes the masking action is lost for a while. This implies an increased flexibility and flowability of the polymer chain and the resulting plasticized compound. Naturally, the chemical nature of each plasticizer exerts a different effect in the masking effect of the secondary force centers leading to the individual effect of each plasticizer.
The free volume theory [
1,
2,
3,
4,
5,
6,
7,
8,
9] starts from the observation that the free volume in a polymer is a measure of the internal available space for the motion of the chain segments, the chain ends and the motion of the side groups of the chains. The free volume reaches the minimum value, say 2.5% of the volume of the given polymer body when it is cooled below its glass transition temperature. Indeed, below the Tg, because the limited free volume available the mentioned chains, ends and side groups movements are frozen and the polymer is in a glassy state. The increase of the motion of these moieties of the polymer can be achieved by heating, by the addition of a plasticizer (which being a low molecular weight molecule increases the number chain ends dramatically), by introducing branching or bulky side groups to the main polymer chain, by inserting more flexible chain segments into the main polymer chain. Thus, any action that leads to an increase in the free volume of a polymer is measurable by a shift of the glass transition toward lower temperatures. The simplest action which does not implies a chemical modification of the polymer, is just the physical addition of a plasticizer and is known as external plasticization to distinguish it from the internal plasticization which instead is due to the chemical modification of the polymer. It is evident that the free volume theory is the most convincing and includes all the notions of the lubricity and gel theories. In fact, the plasticizer fills the available free volume and creates extra free volume; the first molecular layer of plasticizer is adsorbed on the polymer chain segments and provides a certain degree of solvation shielding the force centers of interaction between chains and preventing polymer networking reformation on cooling. The excess of plasticizers molecules, not interacting directly with the polymer chain segments act as volume filler of the free volume created by the first layer of molecules solvating the chain segments and may provide a lubricating effect under deformation and flow. Additional discussion about the free volume theory and recent developments can be found in ref. [
8].
The key practical problem in the use of plasticizers is the evaluation of the compatibility between the polymer, the polymer blend and the plasticizers. A general and updated survey can be found in ref. [
9]. However, the most popular and accessible approach in the evaluating the polymer plasticizer compatibility involves the use of the solubility parameter either in rubber compounds [
12] as well as in plastics [
13].
The solubility parameter has been defined by Hildebrand and Scott [
12] as:
The evaporation enthalpy ΔH
vap was taken as the parameter of the cohesion energy between molecules minus the thermal energy needed to separate them (RT) divided by the molar volume V
m. The Equation (2) can be re-written as:
The cohesive energy Ecoh of a substance in a condensed state is defined as the increase in internal energy ΔU per mole of substance if all the intermolecular forces are eliminated.
Hansen [
13] has shown that the solubility parameter proposed by Hildebrand and Scott does not take into account the contribution of polar forces and hydrogen bonding, therefore, a more complex solubility parameter has been proposed:
derived from the contribution of three components of the cohesive energy:
respectively due to the contribution of dispersion and polar forces plus a hydrogen bonding contribution.
It is possible to calculate the solubility parameter and the solubility parameter components of almost all molecules and polymers by a group contribution method [
14]. For this purpose, as explained by Van Krevelen [
14] it is useful to introduce the molar attraction constant simply defined as:
A set of equations has been proposed by Van Krevelen [
14] for the calculation of the solubility parameter components using the molar attraction by a group contribution methodology:
The total solubility parameter can be calculated as follows:
It can be observed from equation (9) that the hydrogen bond parameter δ
h cannot be calculated from the molar attraction, but directly from the hydrogen bonding energy E
h [
14]. There are numerous ways of evaluation of the solubility of a given polymer P in a given solvent S, Van Krevelen [
14] suggests the criteria imposed by the following equation:
Alternatively, Hansen [
13] has proposed a more sophisticated and relatively complex approach for the evaluation of the solubility of a polymer in a solvent.
A simpler and practical approach regards the direct adoption of the total solubility parameter δ
t eventually determined according to eq. (10), to evaluate the solubility between a polymer and a plasticizer or a solvent which conform to the criteria imposed by the following equation:
a criteria proposed by Brydson [
12].
Using the Van Krevelen methodology [
14] in previous works we have calculated the solubility parameters of fullerenes [
15] and their solubility in fatty acids esters and glycerides [
16]. Similarly, it was through the calculated solubility parameters according to the Van Krevelen methodology [
14] that it was calculated the compatibility between biodiesel and diene rubbers as well as other typical petroleum-derived plasticizers used in rubber compounding [
17].
In the present work we wish to show an alternative or complementary approach to the solubility parameter to evaluate in a practical way the compatibility between a plasticizer and a polymer matrix (in particular a rubber polymer) by classifying also the plasticizers and the rubbers through the Reichardt’s polarity scale E
T(30) or through a complementary scale. After all, the Reichardt’s polarity scale was also successfully applied for the first time in the selection of a bonding agent for a rocket propellant composite [
18].
5. Conclusions
The evaluation of the polymer-plasticizer compatibility through a E
T(30) scale is hindered by the insolubility of the E
T(30) dye in the hydrocarbon polymers like for instance IR, BR and S-SBR. Furthermore, E
T(30) dye may have limited solubility in plasticizers and is sensitive to their weak acidity. In fact protonation of the E
T(30) dye destroys the CT band of this solvatochromic dye. To circumvent such a situation, other authors [
24] have proposed an interesting, original and sophisticated approach which permits to estimate the E
T(30) values of certain “difficult” substrates where the direct polarity measurement is hindered. The alternative approach proposed in the present work is to use Nile red dye as solvatochromic dye. Nile red has the advantage to be soluble in hydrocarbons and in polar solvents and it is not sensitive toward protonation.
In
Table 1 a series of 53 different compounds including rubbers, plasticizers, hydrocarbon solvents and even some polar polymers (like PMMA, PLLA, PEG-400 and polyTHF) were tested with the Nile Red probe. For the evaluation of liquids polarity, Nile Red was dissolved in the selected liquid and the spectrum recorded, while for polymers Nile Red was embedded in thin solid film of the selected polymer and the spectrum recorded on the solid state film. Wherever possible, the liquid or plasticizer was also evaluated with the E
T(33) dye (seldom with the E
T(30) dye) and the resulting value converted into the E
T(30) scale through the eq. (15).
Thus,
Table 1 in a certain number of cases reports both the E(NR) value and the E
T(30) value. This has permitted to derive a correlation between E(NR) scale and E
T(30) limited to the selected number of polymers and plasticizers as shown in
Figure 1 and displayed by the eq. (17-18) with a very good correlation coefficient.
Furthermore, also the total solubility parameter δ
t as defined by the eq. (10) has been calculated for each compound according to the Van Krevelen method [
14] and reported in
Table 1. It was found also a reasonable correlation between the solubility parameter and the E(NR) scale as shown in
Figure 2 and described by eq. (19).
Thus, with Nile red dye it is possible to study the polarity of hydrocarbon polymers (like rubbers) and plasticizers and to connect the results either with the Reichardt’s ET(30) scale and also with the total solubility parameter.