3.1. Analysis of the Ultrasonic Parameters
Table 1a,b presents the experimental results of the ultrasonic parameters for the two series of coated sensors.
Table 2 and
Table 3 show the statistical analysis for series 1 and 2 of sensors of the attenuation and frequency shift, respectively.
Due to the mass reduction of the coating layers of series 2, the measured values of both ultrasonic parameters of series 2 (
Table 1b) were consequently lower than those obtained for series 1 (
Table 1a). The standard deviation and the coefficient of variation for both series of sensors presented very small results. The very low variability of both ultrasonic parameters observed by both series of sensors indicates the good reproducibility obtained by the coating process (
Table 2 and
Table 3).
The spread of the measured values for each sensor series was analyzed by the results of the absolute and relative deviation from the mean value for attenuation (
Figure 6) and the frequency shift (
Figure 7), where the values plotted are the difference between the mean value and the respective ultrasonic parameter (
Table 2 and
Table 3) measured for each sensor (
Table 1a,b).
The amplitude results are the interval which contains all the measured values, while the interval corresponding to ±3-times the standard deviation results shall contain 99% of all measurements results predicted by the sample statistics, assuming that the measured data can be described by a normal distribution.
The results show that the spread of the experimental data around the mean value was much less than predicted by the sample statistics for the attenuation of both series of coated sensors (
Figure 6; above, left, and right). The deviation from the mean value of attenuation in terms of percentage for the series 1 of coated sensors was less than 1% of deviation from the mean value (
Figure 6; left and below), while, for the series 2 of coated sensors, the deviation from the mean value was less the 4% (
Figure 6, right and below).
Figure 7 presents the absolute and relative deviation from the mean value of frequency shift for each series of coated sensors (
Table 1a,b).
The frequency shift data presented a small spread for both series of coated sensors (
Figure 7), as observed by the attenuation data. All the measured data of frequency shift of both series of coated sensors presented a small deviation from the mean than predicted by the sample statistics (
Figure 7 above, left and right).
The frequency shift data of the series 1 of coated sensors presented a percentage deviation from the mean less than 4% (
Figure 7; below and left), while frequency shift data of the series 2 a maximum relative deviation from the mean of slightly above 2% (
Figure 7; below and right).
The variability observed by each series of coated sensors for each ultrasonic parameter results can be interpreted considering the meaning of each ultrasonic parameter and how they can be influenced by the quantity of the coating material deposited by the spin coating process. Since attenuation is an integral parameter that represents, to some extent, the uniformity of the coating, in terms of both the mass distribution and the homogeneity of the coating layer itself, the presence of more material in the coating layer tends to contribute to an increase in the average of the uniformity of the deposition, reflected by the less spread of the data observed by the series 1, in comparison with that observed by series 2, which contains less quantity of deposited coating material.
The higher variability observed in the frequency shift by series 1 in comparison with series 2 shall be related to the higher variation of the mass of the coating material deposited in each sensor series. The results indicate that a higher concentration of material in the coating solution leads to a higher variation in the quantity of material that remains over the surface of the sensors during the spin coating. In a simplified view, after the dispensing of the polymer solution over the sensor element surface and the subsequent start of the rotation step, part of the solution is ejected, and the remaining solution over the sensor surface loses the remaining solvent by evaporation. In this process, part of the deposited polymeric entities will be in direct contact with the sensor surface, being more strongly bound, while part of the molecules deposited above will be in contact just with themselves, being, in this way, less intensively bound than those in direct contact with the sensor surface. Therefore, as the concentration of coating material increases in the spin coating solution, more molecules will be stacked over themselves, increasing the upper layers of polymeric material with a higher probability of to be ejected during the rotation step, which shall lead to a higher variation of the quantity of remaining material deposited over the sensor, reflected by a higher spread of the frequency shift results.
3.2. Statistical Analysis of the Sensor Responses
After the coating procedure, both series of coated sensors were mounted in the sensor system and exposed to the saturated vapors of seven organic analytes of distinct chemical functions and structures and water. The respective sample statistics of the sensor responses for those analytes for series 1 of coated sensors (
Table 1a) are shown in
Table 4 and
Table 5, and the series 2 of coated sensors (
Table 1b) are shown in
Table 6 and
Table 7.
The obtained standard deviations and coefficients of variation indicate a low variability of the sensor responses of all the analytes for both series of coated sensors. It is interesting to note that neither the standard deviation nor the coefficient of variation correlates with the magnitude of the sensor response of a given analyte. The different values of those statistical parameters observed shall be explained by the specific mechanism of interaction of each analyte with the coating layer. Nevertheless, the observed variability of the sensor responses by all the analytes was very small for both series of sensor responses.
The series 2 of coated sensors presented, in a general way, a lower variability of the sensor responses than that observed for series 1. This observation suggests a possible influence of the quantity of mass deposited on the sensor responses. By the assumption that a higher mass of the polymer deposited in the coating layer increases the coating thickness, the process of interaction with the analytes shall be influenced if the difference of thickness between the coating layers is very large, especially in saturation conditions. A thicker coating layer usually presents higher capacity of sorption of analyte molecules, which shall lead to an increase of diffusional effects that will affect the analyte–layer interaction, for instance by differences in the rate of sorption of the analytes, influencing, in this way, the variability on the sensor responses.
For all the analytes, the values of the coefficient variation of the sensor responses for both series of coated sensors were similar and very small, indicating a low variability of those results. The maximum value of the coefficient of variation was observed for water yet not trespassing 10%; however, it must be considered that water showed a negligible sensor response compared with the organic analytes. These results indicate that the good reproducibility obtained by the coating process, observed by the analysis of the ultrasonic parameters, was reflected in a good reproducibility of the sensor responses by all the analytes tested, independently of their chemical function or structure and of the magnitude of their specific sensor responses.
The spread of the sensor responses in terms of their semi-amplitudes and their percentual relative to their respective mean values are analyzed in
Table 8 and
Table 9, for the series 1 and 2 of the coated sensors, respectively.
For both series of sensors, the semi-amplitude results were significatively lower than the interval expressed by three times the standard deviation, which defines the half of the interval that shall contain all the measurements, according to the sample statistics. The percentual of the semi-amplitude from the mean value for series 1 was below 9% for all the organic analytes (last column of
Table 8), while, for series 2, those values were below 5% for all the organic analytes (last column of
Table 9). As observed by the analysis of the ultrasonic parameters, the actual data presented a better reproducibility than that predicted by the sample statistics.
For visualization of the reproducibility of the sensor response results for both series of coated sensors,
Figure 8 plots of the mean value as the height of the columns with error bars, whose ±lengths are the semi-amplitude observed for each analyte. The analytes were grouped according to the magnitude of their respective sensor responses.
The amplitudes observed by the sensor responses of both series of coated sensors indicate the small spread of the data around the mean value for the tested analytes (
Figure 8). Both series of coated sensors presented internally very similar statistics and an overall very low variability according to the sample statistics, attesting the reproducibility of the sensor responses. The sensor responses of series 2 presented better result reproducibility than those observed for series 1 for all the analytes, which can be understood by the same arguments presented before.
In terms of the structure of the coating layer, the reproducibility of the coating process can be indirectly inferred by the inspection of the sensor responses of the analytes. As indicated by the ultrasonic parameters, the two series of coated sensors presented a very distinct quantity of mass deposited of the polymeric coating layer. If layers with a distinct deposited mass shall present, however, similar structures can be expected that the layers shall present the same chemical affinities, which can be recognized by the profile of the sensor responses obtained for the analytes of different chemical functions. Those layers shall just differ in the capacity of sorption of each analyte, given by the respective magnitudes of the sensor responses of the analytes.
In this sense,
Figure 9 shows a comparison of the sensor responses of the analytes for the two series of coated sensors.
Figure 9b presents the relative sensor responses of the analytes as a percentage of the sensor responses obtained to acetone for each series of coated sensors. The sensor response of acetone was chosen as the reference, because its values are approximately in the middle point of those observed by the other analytes.
From
Figure 9, it can be seen that both series of coated sensors presented very similar profiles for the sensor responses of the tested analytes. This is an indication that both coating layers show the same chemical affinity profile, which is expected for coating layers of the same chemical constitution and that they shall also present similar structures (distribution of the coating material and uniformity of the deposition).
Figure 10 shows the correlation between the mean values of the sensor responses for each analyte by each series of coated sensors.
The good correlation observed between the mean values of the sensors responses indicates that the sorption of each analyte shall follow the same mechanism in both series of sensors. It is important to note that the individual sorption mechanisms as well as the individual chemical affinities shall be different for each analyte. However, under the same conditions, the same temperature, constant concentration (but not the same) of each analyte, and under saturation conditions, the results indicate that both coating layers respond equally to each analyte.
The main difference observed between the coating layers is in the capacity of sorption, which is also expected by layers having different quantities of deposited material. All these observations confirm the good reproducibility obtained by the coating process, as also indicated by the statistical analysis of the ultrasonic parameters and of the sensor responses of the analytes tested.