Sensors and Actuators B 121 (2007) 365–371
Analysis of transient response of single quartz crystal nanobalance for
determination of volatile organic compounds
A. Mirmohseni a,∗ , H. Abdollahi b,1 , K. Rostamizadeh a,2
a
Polymer Research Technology Laboratory, Department of Applied Chemistry, Faculty of Chemistry, University of Tabriz, Iran
b Department of Chemistry, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran
Received 15 January 2006; accepted 31 March 2006
Available online 23 May 2006
Abstract
Quartz crystal nanobalance (QCN) sensors are considered as powerful mass sensitive sensors. In this study, a single quartz crystal nanobalance
modified with polystyrene has been employed to determine benzene, toluene, ethylbenzene and xylene (BTEX compounds). The frequency shift
of QCN sensor was found to be linear against the BTEX compound concentrations in the range about 0–27 mg l−1 . The correlation coefficients
for benzene, toluene, ethylbenzene, and xylene were 0.9917, 0.9904, 0.9904 and 0.9925, respectively. The principal component analysis was also
utilized to process the transient response data of the single quartz crystal, considering to the different adsorption–desorption dynamics of BTEX
compounds. Using principal component analysis, it was found that over 75% of the data variance could still be explained by use of three principal
components (PC1, PC2 and PC3). The score plot of the three first PCs data were used to classify and identify organic vapors. The results showed
that the polystyrene modified QCN had favorable identification and quantification performances for the BTEX compounds.
© 2006 Elsevier B.V. All rights reserved.
Keywords: Quartz crystal nanobalance (QCN); BTEX compounds; Polystyrene; Principal component analysis
1. Introduction
(m):
Polymers, whose range of useful physical and chemical
properties promise many potential applications, have received
considerable attention in a variety of fields, including chemical sensors [1], membrane separation technology [2], solid
phase extraction techniques [3]. In the last few years, there has
been an increasing amount of attention paid to the application
of polymer-coated quartz crystal nanobalance (QCN) sensors
[4–6]. The QCN comprises a thin vibrating AT-cut quartz wafer
sandwiched between two metal excitation electrodes. When a
small amount of mass is adsorbed on the quartz electrode surface,
the frequency of the quartz is changed. Sauerbrey’s equation is
used to relate the frequency change (F) to the mass loading
F = −2.26 × 10−6 F02
∗
Corresponding author. Tel.: +98 411 3393171; fax: +98 411 3340191.
E-mail addresses: mirmohseni@tabrizu.ac.ir, mirmohseni@uow.edu.au
(A. Mirmohseni), abd@iasbs.ac.ir (H. Abdollahi),
rostamizadeh@tabrizu.ac.ir (K. Rostamizadeh).
1 Tel.: +98 241 4152064; fax: +98 241 4248925.
2 Tel.: +98 411 3393151; fax: +98 411 3340191.
0925-4005/$ – see front matter © 2006 Elsevier B.V. All rights reserved.
doi:10.1016/j.snb.2006.03.054
m
A
(1)
where F0 is the fundamental resonant frequency of the unloaded
quartz crystal and A is the electrode area. The theoretical detection limit of QCN is reported to be as small as 10−12 g. When
the surface of a quartz crystal electrode is coated by a polymer capable of interaction with the environment of interest,
a sensor sensitive to the component can be constructed. The
performance characteristics of the QCN sensor will depend on
the chemical nature and physical properties of the polymeric
coating.
Polymer-coated quartz crystal has been studied as a sensor
for volatile organic compounds [7–9]. For the development of a
chemical sensor selective, sensitive and stable sensing materials must be employed. However, the construction of an entirely
selective chemical sensor is almost impossible, since along with
the analyte other compounds usually interfere. As a matter of
fact, the major drawback of the polymer modified QCN sensors
is a lack of selectivity since there is no discrimination between
the sources of the mass changes. Using pattern recognition is
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2.3. Procedures
Fig. 1. Schematic diagram of the experimental set-up for QCN sensor: (1) PC,
(2) frequency counter, (3) electronic circuit, (4) quartz crystal electrode, (5)
syringe, and (6) desorbing gas.
a very promising technology in the data processing of the signals of a non-selective sensor. In this regard, the characteristic
information contents of the signal have to be recorded. Different chemometric tools could be applied for this purpose. Fuzzy
clustering [10], partial least squares (PLS) [11,12], principal
component analysis (PCA) [13,14] and artificial neural network
(ANN) [14,15] have been widely used for the classification of
analytes. In recent years, considerable interest has risen on the
use of quartz crystal as a sensor in conjunction with associated
pattern recognition analysis in discriminating various kinds of
compounds [10–15].
In this study, construction of a QCN sensor having good character to analysis volatile organic compounds in atmospheric
media was investigated. Benzene, toluene, ethylbenzene and
xylene (BTEX compounds) are classified as the most important
volatile organic compounds that cause environmental pollution. We developed a method of thin polystyrene-coated QCN
sensor in conjunction with PCA for determination of BTEX
compounds. To perform PCA and identify BTEX compounds,
the parameters extracted from the transient responses of sensor
were used.
2. Experimental
All measurements were carried out in a glass cell with
an internal volume of 28.5 ml. Hamilton microliter syringes
(Hamilton Bonaduz AG, Switzerland) were used for analyte
injections and dispensing polymer solution cast on the gold electrode of the quartz crystal. A certain amounts of analytes were
injected to the cell, and the frequency shift of crystal was measured every 2 s. The concentration of injected analyte in the cell
was calculated in mg l−1 considering its density, purity percent
and volume [16]. A flow of dried air was purged through the cell
to desorb analyte and recover the electrode. All measurements
were carried out at room temperature (23 ◦ C).
2.4. Coating preparation
The crystal was coated with polystyrene via the casting
method. The gold-coated quartz electrode was coated using a
4 l solution of polystyrene in chloroform (various concentrations) and the thin film of polymer was formed by solvent evaporation. The film thickness varied corresponding to the polymer
solution concentration. In order to regenerate the electrode, the
polymeric coating was dissolved in chloroform and dried by
acetone.
2.5. Data processing
The principal component analysis (PCA) method is widely
used to classify compounds and mixtures. PCA contains an
orthogonalization procedure such as singular-value decomposition (SVD) that decomposes the primary data matrix by projecting the multi-dimensional dataset onto a new coordinates
base formed by the orthogonal directions with data maximum
variance. The data matrix consists of a number of experiments,
each include a number of variables. The eigenvectors of the data
matrix are called principal components (PCs). Generally, the kth principal component, PCk , is a linear combination of the n
response vectors (Xn,j ) for the analyte under study:
PCk =
n
an,k Xn,j
(2)
n=1
2.1. Reagents and materials
Benzene, toluene, ethylbenzene and xylene (BTEX) were all
purchased from Merck (Germany) and used without any further
purification. Polystyrene was supplied by Tabriz Petrochemical
Co.
2.2. Instrumentation
Ten megahertz AT-cut quartz crystal with gold electrodes on
both sides was purchased from International Crystal Manufacturer (ICM, Oklahoma, USA). A homemade QCN apparatus was
used for frequency measurements as shown in Fig. 1. A detail of
measuring cell and device was described in our previous report
[8].
where n is the number of the variables, j indicates different samples and the coefficients (an,k ) are called loading. The magnitude
of each eigenvector is expressed by its own eigenvalue, which
gives a measure of the variance related to that principal component. The PCs are ordered so that the first few PCs retain most
of the variation present in all of the original data. By elimination of the less important eigenvectors, it is possible to achieve
fewer vectors without any considerable information loss. So,
during data processing, the results are transformed in a plane or
in a space of the first two or three eigenvectors. The coordinates
of the data in the new base are called their score. The scores
plot is usually used for the classification of the data clusters. In
this study, the input data of the primary matrix are the autoscaled
data extracted from transient response of single QCN sensor. The
score plots were used to classify and identify organic vapors.
A. Mirmohseni et al. / Sensors and Actuators B 121 (2007) 365–371
367
Fig. 2. The effect of polymer concentration of casting solution (polymer thickness) on frequency changes of polystyrene modified quartz crystal electrode
exposed to 15 mg l−1 toluene.
Fig. 3. The effect of polymer concentration of casting solution (polymer thickness) on response time of polystyrene modified quartz crystal electrode exposed
to 15 mg l−1 toluene.
PCA calculations used a singular-value decomposition algorithm and were performed with the MATLAB software version
6.5. The operating system was Microsoft Windows 2000XP.
of the crystal decreased upon exposure to the analyte according
to Eq. (1). A plateau is reached after a period of time, indicating maximum adsorption onto the QCN electrode surface. After
turning back to the purge cycle, the frequency goes back to a
value approximating the basic line. k is considered as a value for
reversibility of the sensor response [17]:
3. Results and discussion
3.1. Development and amount of coating material
k=
To obtain the optimum thickness, the amount of polystyrene
that has to be coated on the electrode of QCN was investigated.
The coating thickness depends on the polymer concentration in
the casting solution. The crystal was coated with 4 l of diverse
concentrations of polystyrene solutions. The QCN coated with
different amounts of polystyrene was exposed to the constant
concentration of toluene. Fig. 2 is a frequency shift response of
the crystal coated with different amounts of polystyrene upon
exposure to 15 mg l−1 toluene. It was found that as the coating
thickness increased the magnitude of the response (frequency
shift) was also increased. On the other hand, response time
obtained for crystals having different thickness of polystyrene
showed that the QCN crystal with a thicker coating exhibit a
high response time for the constant concentration of toluene as
well (Fig. 3). The shortest response time obtained was for crystal
coated by 0.1% (w/v) polystyrene solution. Besides, too much
coating would disturb the resonance stability and occasionally
leads to the failure in the quartz crystal oscillation. Based on
these observations, it can be concluded that the QCN should be
modified using 4 l of 0.3% (w/v) polystyrene solution. So it had
significant response and its response time was less than 12 min.
The mass of the coating caused a frequency shift of about 6 kHz.
t90,desorp
t90,sorp
(3)
where t90 is the frequency value at 90% after starting the adsorption or desorption process. For an ideal fast reversible response, k
must be 1. Table 1 shows the reversibility of polystyrene-coated
QCN sensor at two different concentrations of analytes. It can be
3.2. Sensor response and sensitivity
A typical response for a crystal coated with a solution of 0.3%
(w/v) polystyrene/chloroform is shown in Fig. 4. The frequency
Fig. 4. Typical frequency changes of the polystyrene modified quartz crystal
electrode exposed to 27 mg l−1 toluene in air: (a) sample injection; (b) sample
desorption by purging air through the cell.
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Table 1
Reversibility of polystyrene-coated QCN towards analytes
(c = 15 mg l−1 )
k
k (c = 27 mg l−1 )
Benzene
Toluene
Ethylbenzene
Xylene
0.39
4.75
1.09
6.62
2.13
5.83
0.91
7.01
concluded that the polystyrene shows good reversibility, especially at low concentrations, with all analytes. This implies that
the polystyrene-coated QCN crystal sensor can be repeatedly
used for the detection of examined organic vapors.
A response obtained by a sensor should be linear against
concentration of species of interest. Fig. 5 shows the frequency
shift (F) as a function of time for different concentrations of
xylene. It is obvious from graph that F increases monotonically
with increasing gas concentration. This result strongly suggests
that it is possible to prepare the gas sensor using polystyrenecoated QCN. In this regard, the calibration curve was constructed
by plotting the frequency shifts against the concentration of
analytes. The frequency shifts used for plotting the calibration
curves corresponded to the frequency shift of the crystal after
10 min of exposure. Plots of the frequency shifts against various
concentrations of BTEX compounds are shown in Fig. 6. As
shown there was a good linear relationship in the range about
0–27 mg l−1 . The values of 0.9917, 0.9904, 0.9904 and 0.9925
were calculated for correlation coefficients of benzene, toluene,
ethylbenzene and xylene, respectively.
The lower limit of detection (LLD) is the lowest concentration
of analyte that can be detected. LLD of the analytes for the
designed QCN sensor was investigated. The study showed that
the base line noise of applied system was 1 Hz. The frequency
change limit necessary to detect an analyte is set at a signal-tonoise ratio of 3, three times the base line noise. The LLD of the
Fig. 5. Frequency shift of polystyrene modified quartz crystal electrode as a
function of time exposed to various concentrations of xylene: (a) 3.0 mg l−1 , (b)
6.0 mg l−1 , (c) 9.0 mg l−1 , (d) 12.0 mg l−1 , (e) 15.0 mg l−1 , (f) 18.0 mg l−1 , (g)
21.0 mg l−1 , (h) 24.0 mg l−1 , and (i) 27.0 mg l−1 .
Fig. 6. Calibration curves for determination of benzene (), toluene (), ethylbenzene () and xylene (△) using polystyrene-coated quartz crystal electrode.
QCN for BTEX was calculated and the value of 2.74, 3.01, 3.02
and 2.66 mg l−1 were obtained, respectively.
The sensitivity of sensor is expressed as the slope of the calibration curve. The bar graph (Fig. 7) illustrates the sensivity of
the QCN sensors towards examined analytes. As expected the
sensors showed different sensitivities to the BTEX gases. The
maximum and minimum sensivity of sensor was towards xylene
and benzene, respectively.
To investigate the repeatability of the results, the sensor coated with polystyrene was alternatively exposed five
times to the presence of BTEX compounds at the concentration of 12.0 mg l−1 . The frequency-shift responses of the
sensor for toluene are shown in Fig. 8. The relative standard deviations (R.S.D.s) for BTEX compounds were 3.03%,
3.07%, 1.89% and 2.95%, respectively, indicating that the
Fig. 7. Sensivity of polystyrene-coated QCN towards BTEX compounds.
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Fig. 8. Reproducibility test for frequency changes of the polystyrene modified
quartz crystal electrode exposed to 12 mg l−1 toluene: (a) toluene injection; (b)
toluene desorption by purging air through the cell.
Fig. 9. The adsorption–desorption frequency responses of polystyrene-coated
QCN sensor exposed to the concentration of 21 mg l−1 of BTEX compounds:
(a) benzene, (b) toluene, (c) ethylbenzene, and (d) xylene.
sensor showed a good repeatability for the detection of all
compounds.
3.3. Identification of gases using principal component
analysis
It is necessary the gas sensor also possesses an acceptable
selectivity towards BTEX compounds. To establish the ability of the polystyrene-coated QCN to discriminate between the
BTEX gases a principal component analysis was carried out.
The adsorption–desorption dynamics of the polystyrene-coated
QCN exposed to the BTEX compounds at the concentration of
21 mg l−1 are shown in Fig. 9. As it can be seen, however, the
outline of the adsorption and desorption process for all analytes
are the same, but there are some differences in the shape of sensor response exposed to various organic vapors. The difference
in the response shape of the sensor can be related to the type of
analytes and their different affinity for adsorption and desorption
of polystyrene coating. So attention to the difference shape of
each response can be useful in order to distinguish gases using
PCA [18]. In this regard, fourteen parameters extracted from
transient responses of sensor which could reflect the characteristics of the components dynamic behavior were considered as
input matrix for PCA analysis. The parameters used as primary
data matrix for PCA are shown in Table 2. To extract some of
these parameters such as integral at different times the response
curves of crystal were modeled using the polynomial of eighth
degree, according to the following equation:
F (x) = c1 x8 + c2 x7 + c3 x6 + c4 x5 + c5 x4 + c6 x3 + c7 x2
+ c8 x + c 9
(4)
All compounds were exposed to the cell for three different concentrations including 12.0, 15.0 and 18 mg l−1 ; therefore, 12 sets
of responses altogether were collected. So all input data can be
presented by a (12 × 14) matrix. To account for the different
response magnitudes from the different concentrations, all data
were autoscaled by subtracting the mean and dividing by the
standard deviation for each sample.
PCA results indicated that most of the information (up to
75%) was provided by PC1, PC2 and PC3. the PCA results
obtained have been displayed in Fig. 10. The graphs illustrate
the score plot of the PC1–PC2 and PC1–PC3 for different three
concentrations of BTEX compounds. It is clear that an easy
discrimination of BTEX compounds was possible because they
were specimen data clustered in four different regions, independent of their concentrations.
Table 2
Parameter extracted from the transient response curve
Parameters
Description
P1
P2
P3
P4
P5
P6
P7
P8
P9
P10
P11
P12
P13
P14
Maximum value
Time spent to reach the maximum value
Minimum value
Time spent to reach the minimum value
First derivation at maximum value
Second derivation at maximum value
Integral at maximum value from gas exposure
First derivation at minimum value
Second derivation at minimum value
Integral at minimum value from air exposure
Response after 5 min
Response after 3 min
Desorption period
Sorption period
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clearly discriminated from each other. It can be concluded that
the polystyrene modified QCN can be utilized to determine
BTEX compounds in atmospheric media.
Acknowledgment
We are most grateful for the continuing financial support of
this research project by the University of Tabriz.
References
Fig. 10. PCA scores plot of benzene (), toluene (), ethylbenzene () and
xylene (䊉) in the (a) PC1–PC2 plane and (b) PC1–PC3 plane of the normalized data matrix obtained form the transient responses of QCN sensor for three
different concentrations.
4. Conclusion
A sensor was constructed based on quartz crystal nanobalance modified with a thin layer of polystyrene to detect benzene,
toluene, ethylbenzene and xylene (BTEX compounds) in atmospheric media. Frequency shifts versus concentration of analytes
exhibited satisfactory linear correlation within the concentration
range of 0–27 mg l−1 . The correlation coefficient of calibration
curves was 0.9917, 0.9904, 0.9904 and 0.9925, respectively.
The results showed that the sensor is sensitive enough to detect
analytes. Principal component analysis was performed using
transient response of single sensor. The score plot of the three
first PCs showed that BTEX compounds were specimen data
clustered in thoroughly different regions, independent of their
concentrations. The results indicated that the analytes can be
[1] A. Mirmohseni, A. Oladegaragoze, Detection and determination of CrVI
in solution using polyaniline modified quartz crystal electrode, J. Appl.
Polym. Sci. 85 (2001) 2772–2780.
[2] A. Mirmohseni, A. Saeedi, Application of conducting polymer membranes
(2): separation of H2 SO4 /H3 PO4 and HNO3 /H2 SO4 using dialysis, electrodialysis and elctrodynamics methods, Iran. Polym. J. 7 (1) (1998) 15–21.
[3] J.B. Yates, K.R. Temsamani, O. Ceylan, S. Oztemiz, Electrochemical control of solid phase micro-extraction: conducting polymer coated film material applicable for preconcentration/analysis of neutral species, Talanta 58
(2002) 739–745.
[4] L. Cui, M.J. Swann, A. Glidle, J.R. Barker, J.M. Cooper, Odour mapping using microresistor and piezo-electric sensor pairs, Sens. Actuators
B: Chem. 66 (2000) 94–97.
[5] V. Syritski, J. Reut, A. Opik, K. Idla, Environmental QCM sensors coated
with polypyrrole, Synth. Met. 102 (1999) 1326–1327.
[6] A. Mirmohseni, A. Oladegragoze, Application of the quartz crystal
microbalance for determination of phenol in solution, Sens. Actuators B:
Chem. 98 (2004) 28–36.
[7] Y. Fu, H.O. Finklea, Quartz crystal microbalance sensor for organic vapor
detection based on molecularly imprinted polymers, Anal. Chem. 75 (2003)
5387–5393.
[8] A. Mirmohseni, A. Oladegaragoze, Determination of chlorinated aliphatic
hydrocarbons in air using a polymer coated quartz crystal microbalance
sensor, Sens. Actuators B: Chem. 102 (2004) 261–270.
[9] K. Henkel, A. Oprea, I. Paloumpa, G. Appel, D. Schmeiber, P. Kamieth,
Selective polypyrrole electrodes for quartz microbalances: NO2 and gas
flux sensitivities, Sens. Actuators B: Chem. 76 (2001) 124–129.
[10] G. Barkó, J. Abonyi, J. Hlavay, Application of fuzzy clustering and piezoelectric chemical sensor array for investigation on organic compounds,
Anal. Chim. Acta 398 (1999) 219–226.
[11] R. Ni, X.B. Zhang, W. Liu, G.L. Shen, R.-Q. Yu, Piezoelectric quartz crystal
sensor array with optimized oscillator circuit for analysis of organic vapors
mixtures, Sens. Actuators B: Chem. 88 (2003) 198–204.
[12] F.L. Dickert, O. Hayden, M.E. Zenkel, Detection of volatile compounds
with mass-sensitive sensor arrays in the presence of variable ambient
humidity, Anal. Chem. 71 (1999) 1338–1341.
[13] G. Barko, J. Hlavay, Application of principal component analysis for the
characterisation of a piezoelectric sensors array, Anal. Chim. Acta 367
(1998) 135–143.
[14] P. Chang, J.S. Shih, Multi-channel piezoelectric quartz crystal sensor for
organic vapours, Anal. Chim. Acta 403 (2000) 39–48.
[15] C.W. Kuo, J.S. Shih, Cryptand/metal ion coated piezoelectric quartz crystal
sensors with artificial back propagation neural network analysis for nitrogen dioxide and carbon monoxide, Sens. Actuators B: Chem. 106 (2005)
468–476.
[16] A. Mirmohseni, A. Oladegragoze, Construction of a sensor for determination of ammonia and aliphatic amines using polyvinylpyrrolidone coated
quartz crystal microbalance, Sens. Actuators B: Chem. 89 (2003) 164–172.
[17] S. Rosler, R. Lucklum, R. Borngraber, J. Hartmann, P. Hauptmann, Sensor
system for the detection of organic pollutants in water by thickness shear
mode resonators, Sens. Actuators B: Chem. 48 (1998) 415–424.
[18] A.K.M. Shafiqul Islam, Z. Ismail, M.N. Ahmad, B. Saad, A.R. Othman,
A.Y.Md. Shakaff, A. Daud, Z. Ishak, Transient parameters of a coated
quartz crystal microbalance sensor, for the detection of volatile organic
compounds (VOCs), Sens. Actuators B: Chem. 109 (2005) 238–243.
A. Mirmohseni et al. / Sensors and Actuators B 121 (2007) 365–371
Biographies
Abdolreza Mirmohseni received PhD degree in chemistry from the University
of Wollongong, Australia in 1974. After a year of postdoc at this university, he
was appointed as an assistant professor of chemistry at the University of Tabriz,
Iran (second largest university in Iran) where he is now a full professor. He is
the corresponding author of over 27 scientific papers in international journals.
Prof. A. Mirmohseni has supervised more than 23 MSc and 2 PhD students. He
is the author of one chapter in Polymeric Materials Encyclopedia. He has also
conducted 7 national research projects.
Hamid Abdollahi received PhD degree in chemistry from the University of
Shiraz, Iran in 1999. He is assistant professor of analytical chemistry at the
371
Institute for Advanced Studies in Basic Sciences. His interest researches are
focused on the area of simultaneous determination of chemical species by
chemometric methods and chemometrics studies of chemical equilibria and
kinetics. He is the author of over 26 scientific papers in the international
journals.
Kobra Rostamizadeh is a PhD student in applied chemistry at the University of Tabriz, Iran. She received a BSc degree in 2000 and an MSc
degree in 2002 in applied chemistry from the University of Tabriz, Iran.
Her current research interests are in selective chemical sensors based
on the QCN and she also has research interests in pattern recognition
techniques.