# Surface Characterization of Phenylpropanolamine Drug by Inverse Gas Chromatography

Authors: B. Praveen Kumar; P. Reddi Rani; T. Madhusudana Reddy; K. S. Reddy
Journal: ISRN Physical Chemistry
 (2013)

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## Abstract

The surface thermodynamic properties can be used to understand the interactive potential of a drug surface with a solid or liquid excipient during its formulation and drug release process. The retention data were measured for n-alkanes and polar solutes at intervals of 5 K in the temperature range 318.15–333.15 K by Inverse Gas Chromatography (IGC) on the solid surface of phenylpropanolamine (PPA) drug. The retention data were used to evaluate the dispersive surface free energy,γSd, and Lewis acid-base parameters, Ka and Kb, for the PPA drug. The values, γSd, were decreasing linearly with increase of temperature and at 323.15 K the value was found to be 26.01±0.40 mJ/m2. The specific components of enthalpy of adsorption of polar solutes have been applied to evaluate Lewis acid-base parameters. The Ka and Kb values were found to be 0.451±0.033 and 0.824±0.622, respectively, which suggests that the PPA surface contains more basic sites and interact strongly in the acidic environment.


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## Body

## 1. Introduction

The surface energetics of a pharmaceutical solid will influence its interaction with another solid or liquid when it is in close contact. An interfacial energy will be developed at the interface when two such condensed systems interact. The magnitude of this interfacial energy depends on the individual surface energies of the two systems. The interfacial energy will influence several factors such as wetting and spreading of a liquid over a solid surface, binding of a film to a tablet, wet granulation, and dissolution and suspension formulation of a drug during processing [1–9]. Several techniques are available to measure surface energetics of a solid; however, the IGC method has been proved to be more effective and simple technique [10–15].In the IGC method n-alkanes and polar probes are injected at infinite dilution on a column packed with pharmaceutical material. The surface free energy of a pharmaceutical solid is often divided into two components dispersive and specific. The dispersive surface energy is usually investigated by using the retention data of n-alkane solutes and the specific interaction ability of the surface has been studied using the data of polar solutes. The comparison of the retention property of the polar solutes with the n-alkanes will result in the evaluation of Lewis acidity,Ka, and Lewis basicity, Kb, parameters.The purpose of this paper is to determine the surface thermodynamic properties of PPA drug by IGC method. The dispersive surface free energy at four temperatures and Lewis acid-base parameters for the solid PPA surface has been reported. PPA is an important drug which can be used to cure respiratory illness and the properties reported here may be utilized during its formulation. A literature survey revealed that the surface properties of PPA have not been studied earlier.


## 2. IGC Theory

The net retention volumes,VN, can be calculated according to the following equation:
(1)VN=(tR-t0)FJ(Po-PWPo),
where tR is the retention time of the probe solute, t0 is the retention time of methane, F is the flow rate of the carrier gas, PW is thesaturate vapour pressure of water at ambient temperature, Po is the atmospheric pressure, and J is the James and Martin pressure correction factor.According to Schultz et al. [15] the dispersive surface free energy, γSd, is related to the net retention volume as follows:
(2)RTlnVN=2Na(γld)0.5(γSd)0.5+K,
where a is the cross-sectional area of solute, N is Avogadro’s number, γld is the dispersive surface free energy of a solute, and K is a constant which depends on gas pressure and surface pressure. A linear plot can be obtained when (2) is fitted to n-alkane data. From the slope of this linear plot the dispersive component of the surface free energy, γSd, can be evaluated. The a(γld)0.5 values for n-alkanes and for polar solutes are given in (Table 1). The free energy of adsorption, ΔGa, is related to the net retention volume as follows:
(3)ΔGa=-RTlnVN+K.Table 1
The properties of the solutes.
Solute
a
(
γ
l
d
)
0.5
×
10
-
16
cm2(mJ/cm2)0.5
a (nm2)
AN*(kJ/mol)
DN(kJ/mol)
n-Hexane
2.21
0.515
—
—
n-Heptane
2.57
0.570
—
—
n-Octane
2.91
0.630
—
—
n-Nonane
3.29
0.690
—
—
DCM
1.65
0.315
16.4
0
TCM
2.24
0.440
22.7
0
AC
1.73
0.425
10.5
71.4
EA
1.95
0.480
6.3
71.8
THF
2.13
0.450
2.1
84.4
*Gutamann parameter.The free energy of adsorption contains two components, namely, the specific component,ΔGaS, and the dispersive component,  ΔGad. Thus
(4)ΔGa=ΔGad+ΔGaS.It is considered that the n-alkanes represent only dispersive interactions and polar solutes exhibit both dispersive and specific interactions. TheΔGaS for polar solutes can be determined using a Fawkes plot and with help of the following relation:
(5)ΔGaS=RTlnVN-RTlnVN(ref),
where VN is the net retention volume for a solute and VN(ref) is the net retention volume established by the n-alkane reference line for the same polar probe. For example the graphical evaluation of ΔGaS has been shown in Figure 1 for dichloromethane at 323.15 K.Figure 1
RT
ln
V
N versus aγld for n-alkanes and polar probes on PPA solid surface at 323.15 K.By determining the specific component of the surface free energy of adsorption at different temperatures, it is possible to compute the specific components of the enthalpy of adsorption,ΔHaS, and entropy of adsorption, ΔSaS, according to the following relation:
(6)ΔGaST=ΔHaST-ΔSaS.TheΔHaS values can be used to calculate the Lewis acidity parameter, Ka, and Lewis basicity parameter, Kb, using the following relation:
(7)-ΔHaSAN*=Ka(DNAN*)+Kb,
where AN* and DN are Guttmann’s modified acceptor and donor numbers, respectively. The AN* and DN values of the polar solutes are included in Table 1.


## 3. Experimental

The retention times were measured using the dual column gas chromatograph and they were described earlier [7]. The PPA is purchased from Sigma-Aldrich in the granular form and it was used directly for column packing. A stainless steel column of 3 mm internal diameter and 30 cm length, obtained from NUCON, was cleaned with methanol and acetone and then dried in the oven. The column was packed with PPA particles directly with the aid of a mechanical vibrator. Both ends of the column were closely plugged with glass wool. One end of the column was fixed at the injector side and the other end was open at the detector side and equilibrated at room temperature for 12 hours under the flow of nitrogen carrier gas. The solutes n-alkanes, dichloromethane (DCM), trichloromethane (TCM), acetone (AC), ethyl acetate (EA), and tetrahydrofuran (THF) were analytical grade compounds purchased from S.D. Fine and Merck. 0.1 μL of each solute was injected using a Hamilton syringe. The retention times were measured at constant oven temperature at intervals of 5°C in the temperature range from 318.15 to 333.15 K. Each solute was injected three times and the average of the three retention times was used in the calculation of the net retention volume. The difference in the reproducibility of the retention time was less than 1 sec and this corresponds to an error of less than 1% in the evaluation of VN.


## 4. Results and Discussion

The values ofRT lnVN for the n-alkanes and polar solutes at the four temperatures are given in Table 2. The RT lnVN values are maximum at 323.15 K and decrease with increase of temperature in the range 323.15 to 333.15 K. The dispersive surface free energy, γSd, has been evaluated using (2). In the Schultz method, the γSd has been calculated using the slope of the plot drawn between RT lnVN versus a(γld)0.5 for n-alkanes. Such plot has been shown in Figure 1 for the data measured at 323.15 K. A straight line plot is obtained for the n-alkane series and the points for polar probes are above the n-alkane reference line. The γSd values of PPA are given in Table 3. It is observed that the γSd values are decreased with increase of temperature and the temperature gradient is found to be -0.887±0.036 mJ m−2 K−1. The free energy of adsorption, ΔGa, for the adsorption of solutes on PPA drug surface has been calculated using (3). Following (6), a linear fit between -ΔGa/T and 1/T for n-alkanes and polar solutes gave negative enthalpy of adsorption, ΔHa, and entropy of adsorption, ΔSa. Both ΔHa  and ΔSa  are negative and a correlation between -ΔHa and -ΔSa has been shown in Figure 2 with correlation coefficient 0.997. The interaction intensity between PPA and the solute probe is a measure of the enthalpy of adsorption. If ΔHa is more negative, then the interaction will be considered as stronger. For the n-alkane series the -ΔHa is in the following order:
(8)n-hexane<n-heptane<n-octane<n-nonane.Table 2
The values ofRT lnVN (kJ/mol) for the n-alkanes and polar solutes on PPA drug in the temperature range 318.15–333.15 K.
Solute
318.15 K
323.15 K
328.15 K
333.15 K
n-Hexane
2.01
2.77
1.94
1.77
n-Heptane
3.62
4.3
2.92
2.47
n-Octane
6.88
6.9
4.07
2.99
n-Nonane
8.70
9.24
8.16
6.68
DCM
2.78
2.87
2.05
1.77
TCM
4.18
4.12
3.09
2.74
AC
2.2
2.87
2.16
1.91
THF
4.13
4.06
2.67
2.35
EA
4.39
3.28
2.48
2.24Table 3
Dispersive surface free energy,γSd, of PPA surface in the temperature range 318.15–333.15 K.
T/K
318.15 K
323.15 K
328.15 K
333.15 K
γ
S
d (mJm−2)
26.63
±
3.86
26.01
±
0.40
21.90
±
5.25
17.14
±
4.79Figure 2
The correlation between entropy of adsorption,ΔSa, and enthalpy of adsorption, ΔHa,  or solutes of PPA.Further, the entropy of adsorption,ΔSa is also negative for all the n-alkanes. It is expected since the solute goes from the less ordered vapor phase to the more ordered adsorbed phase.The specific component of free energy of adsorption,ΔGaS, is calculated using (5) and the values are given in Table 4. The ΔGaS values are negative for all the solutes. The linear fit between -ΔGaS/T versus 1/T shown in Figure 3 for the five polar solutes gave the specific enthalpy of adsorption, ΔHaS, and specific entropy of adsorption, ΔSaS. The ΔHaS and ΔSaS values are negative and are given in (Table 5). The ΔHaS values along with Guttmann parameters of polar solutes are used to evaluate the acid-base character of PPA surface. The Lewis acidity parameter, Ka, and basicity parameter, Kb, can be obtained from the slope and intercept of (7). Therefore, a plot was drawn between -ΔHaS/AN* versus DN/AN* in Figure 4, which is found to be linear with correlation coefficient, r=0.992. The Ka and Kb values are 0.451±0.033 and 0.824±0.622, respectively, which suggest that the PPA surface contains more basic sites and less number of acidic sites. The −OH and NH2 functional groups in the structure of PPA are responding for the acidic and basic sites on the surface of PPA. The Ka and Kb values indicate that the NH2 groups dominate on the surface of PPA. Further if the ratio Kb/Ka is greater than unity, then the overall character of the surface is basic. In the PPA the ratio is 1.83 which conveys that the drug surface is basic in character and interacts strongly with acidic environment.Table 4
The specific component of the surface free energy-ΔGaS (kJ/mol) for polar solutes on PPA.
Solute
318.15 K
323.15 K
328.15 K
333.15 K
DCM
4.43
3.80
3.61
3.46
TCM
2.07
1.41
1.32
1.50
AC
3.26
3.31
3.27
3.21
THF
2.70
2.04
1.53
1.65
EA
4.08
2.36
2.35
2.44Table 5
The specific components of the enthalpy of adsorption,ΔHaS, entropy of adsorption, ΔSaS, and  correlation coefficient, r, for polar probes on PPA.
Solute
-
Δ
H
a
S (kJ/mol)
-
Δ
S
a
S (kJ/mol K)
r
DCM
22.37
±
4.33
0.057
±
0.01
0.965
TCM
26.03
±
10.37
0.076
±
0.03
0.925
AC
23.59
±
10.96
0.063
±
0.03
0.907
EA
41.97
±
15.19
0.119
±
0.05
0.940
THF
39.95
±
2.83
0.117
±
0.09
0.998Figure 3
The plot of-ΔGaS/T versus 1/T on PPA drug.Figure 4
Plot of-ΔHaS/AN* versus DN/AN* for the surface of PPA.


## 5. Conclusion

TheVN values of n-alkanes and polar solutes on PPA solid surface are determined at four temperatures in the range from 318.15 to 333.15 K by IGC. The VN values have been used to calculate the dispersive surface free energy and the Lewis acid-base parameters. The γSd values are decreasing with increase of temperature and the value of γSd at 323.15 K was found to be 26.01 (mJ/m2), respectively. Lewis acidity parameter, Ka, and Lewis basicity parameter, Kb,  revealed that the PPA surface is more basic and less acidic. Hence, it may be concluded that PPA drug interact strongly with the acidic environment.



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*Source: 142687-2013-08-22.xml*