The US Food and Drug Administration's process analytical technology (PAT) initiative reflects the need for improved quality control in the pharmaceutical industry. As the complexity of pharmaceutical products
increases, quality control becomes more costly and difficult. New analytical instrumentation should be developed to address
the quality control problems associated with more complex pharmaceutical products. Dielectric spectroscopy, one of many process
analytical technologies, has been used for several decades. As any other technology, it is continuously evolving. New instrumentation,
algorithms, and materials broaden the applicability and capabilities of this method. Selecting the optimal architecture for
a sensing system intended for each specific application requires a good understanding of main principles and engineering trade-offs
common for this field. This article is written primarily for field practitioners who need to make a judicious choice of the
best measurement technique for their application. Main principles and design features of dielectric sensors are discussed
in the framework of pharmaceutical applications.
The range of potential applications of dielectric spectroscopy is quite broad. Virtually any physical process change leads
to changes in dielectric properties of samples. Process variability is a primary concern for the pharmaceutical industry (1).
Exposure to mechanical and thermal stress can cause a change in the physical properties of pharmaceuticals. Such variations
are important to control because physical properties generally determine the efficacy of the drug. For instance, tablet coatings
control the rate of drug delivery within the body of a patient (2–5) and influence the bioavailability of the drug. In addition,
coatings protect the active ingredient from chemically harsh environments in the body (6). Similarly, API content in a given
sample determines the potency of the drug. The drying process of pharmaceuticals is critical because 70% of global granulated
pharmaceutical product is made using wet granulation (7). In wet granulation, liquid binding gels are used to facilitate bonding
between active ingredients. At this stage, it is important to measure moisture because specific moisture levels are required
for the formation of the correct-size granules. Further, in high-shear wet granulation methods, incorrect moisture levels
can lead to a process-induced transformation (PIT) (8). In these transformations, the properties of the active ingredients
can change, resulting in reduced efficacy.
Overview of sensing methods
Process analytical technologies. A number of sensing technologies can be used to detect physical properties of pharmaceuticals. Most commonly used technologies
include near infrared spectroscopy (NIR) and Raman spectroscopy. Digital imaging methods, optical methods, and dielectric
spectroscopy also are used to measure various physical properties. NIR spectroscopy is widely used to measure API content, distribution of contaminants, moisture content, and polymorphism determination
(9). Similarly, Raman spectroscopy has demonstrated success in measuring pharmaceutical reaction times, polymorphism, and
differences between solid-state forms (8).
Digital imaging methods are used to monitor particle size in pharmaceutical powders (10). Optical methods have been used for
inspection of tablet coatings (6), measurement of constituent concentration of pharmaceutical powder mixtures (11), and quantitative
analyses of ascorbic acid in pharmaceuticals (11, 12). For example, laser induced breakdown spectroscopy (LIBS) is used to
measure coating thickness of tablets (13).
Previous work using dielectric spectroscopy. Dielectric spectroscopy is a promising method to study physical properties of pharmaceutical solutions, colloids, microcapsules,
gels, and emulsions. Craig provides a thorough review of these applications (14), which are summarized in this section.
Pharmaceutical solutions are important because the solubility of a drug in the solvent directly influences its rate of disassociation
in the body, which in turn impacts bioavailability. Dielectric properties such as the static dielectric constant of solutions
has been used to study the solubility of cosolvent systems, reaction rates of pharmaceutical solutions, and drug stability
(14).

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Colloids are two-phase systems that consist of particles suspended in a medium. Each particle in a colloidal solution has
an electrical layer surrounding it that determines the stability of the system by affecting the aggregation or disassociation
of colloidal particles. As a result of these forces, dielectric response of colloidal solutions provides information about
particle size in the colloidal solutions. For example, a study conducted by Paul and Vogey suggested an inverse-square dependency
between particle radius and dielectric relaxation frequency of the medium (15). This relationship is illustrated in the following
equation:
in which D is the diffusion coefficient of counterions with a particle radius of a, and fc is the loss peak frequency. The inverse-square relationship between relaxation frequency and particle radius was confirmed
in a subsequent study (16).