Dielectric spectroscopy comprises the measurement of the dielectric properties of a medium as a function of the frequency of an external electric field incident on a sample of the medium. Referring to
Dielectric spectroscopy, the determination of the permittivity of a medium as a function of the frequency of an external electric field, is typically performed by subjecting a sample of the medium to microwave radiation and analyzing one or more scattering parameters related to the signals reflected by or transmitted from the sample. Typically, the microwave signal is generated and analyzed with a network analyzer. A network analyzer is an expensive instrument and the cost of a network analyzer limits the deployment of dielectric spectroscopy even though the method has advantages over other methods for identifying materials and events related to their molecular structure. The present inventor realized that the permittivity of a medium is determined by its molecular structure and that the permittivity of a sample of a medium located in the electric field region of a resonant circuit effects the resonant frequency of the circuit. Moreover, frequency can be measured with instrumentation that is substantially less expensive than a network analyzer. The inventor reasoned that differences, if any, in the permittivity and, therefore, the molecular structure of two samples, whether the result of a molecular event or otherwise, can be less expensively determined by measuring the resonant frequency or the loss current of a resonant circuit while alternately locating a sample of a medium-under-test and a sample of a known medium in an electric field region of the circuit.
Referring to
When a DC voltage 122 is applied to the circuit, current will flow through the first inductor 110 and through the resistor, R2, to the emitter of the transistor, T1. The current will flow between the emitter and the collector and back to the DC voltage source. Oscillation of the tank circuit is initiated by the surge of current through the first inductor which induces a voltage in the second inductor, L2. This induced voltage makes the junction of the tank capacitor, second inductor and coupling capacitor, C1, positive. The positive potential is coupled to the base of the transistor through the coupling capacitor, C1, increasing the forward bias of the transistor and causing an increase in collector current. The increasing collector current increases the current flowing through the first inductor and the transistor's emitter. The increasing current in the first inductor also increases the energy stored in the electrostatic field of the tank capacitor and the positive potential at the coupling capacitor, C1. The increasingly positive potential at the coupling capacitor further increases the forward bias of the transistor.
After an initial charging period, the tank capacitor, Ct, is charged to the potential across the first and second inductors and the rate of change of current flow in the first inductor decreases. The reduction in the rate of change of current flow in the first inductor, L1, causes a reduction in the voltage induced in the second inductor, L2. The positive potential across the tank circuit begins to decrease and the tank capacitor, Ct, starts discharging the energy stored in its electrical field through the first and second inductors. The current flow through the first and second inductors produces a reduction in the forward bias of the transistor and a reduction in the collector-emitter current of the transistor. When the potential across the tank circuit decreases to zero, energy stored in the electrostatic field of the tank capacitor has been transferred to and stored in the magnetic fields of the inductors, L1, L2.
However, when the current flow from the tank capacitor ends, the magnetic field around the inductor collapses momentarily producing a negative potential across the second inductor and causing the tank capacitor to begin to charge with opposite polarity. The negative potential at the coupling capacitor, C1, is coupled to the base of the transistor opposing its forward bias. When the junction of tank capacitor, second inductor and coupling capacitor reaches its maximum negative voltage the magnetic field of the inductor will have collapsed, the electrostatic field in the tank capacitor, Ct, will be restored and the oscillator will have completed three-fourths of a cycle.
The charged tank capacitor will begin to discharge energy stored in the electric field, decreasing the negative potential at the junction of the tank circuit and the coupling capacitor, C1. The voltage opposing the forward bias of the transistor decreases permitting an increase in emitter current and an increase in the current flowing through the first inductor. The increase in current in the first inductor provides additional energy to the tank circuit to replace energy dissipated by the system. When the tank capacitor is fully discharged, the oscillator will have completed one cycle and, if the energy dissipated in the circuit is replaced, will repeat the cycle again and again, outputting an alternating voltage at the resonant frequency of the tank circuit.
The electric field of the tank capacitor will oscillate at the resonant frequency of the tank circuit which is a function of the respective values of the inductor, L, and the tank capacitor, Ct. For an ideal tank circuit, without resistance, the resonant frequency equals:
As illustrated schematically in
A transducer 132 connected to a frequency counter 134A enables measurement of the resonant frequency of operation of the tank circuit as it is effected by the presence of the sample. The resonant frequency is related to the real part, ε′, of the complex permittivity. Likewise, the current flowing in the current sense resistor, R4, 136, measurable with a voltmeter 138, reflects the current dissipated in the system and is related to the imaginary portion of the permittivity, the loss factor, ε″. A difference between a known medium and an unknown medium-under-test can be detected by respectively placing samples of the media in the electric field of the oscillator and measuring the resonant frequencies of operation and/or the loss currents during respective tests. If the resonant frequencies are the same and/or if there is no a difference between the loss currents, the medium-under-test and the known medium are the same. On the other hand, if the molecular structure of the samples are different, as a result of a molecular event or otherwise, the relative permittivity of the two samples and, therefore, the resonant frequencies and/or the loss currents will be unequal for the two tests. The identity of an unknown medium may be determined by comparing the resonant frequency or loss current obtained by testing the unknown medium with known resonant frequencies and/or loss currents produced by testing a plurality of known media in the same or substantially identical oscillators.
The apparatus 100 comprises two substantially identical oscillators 102A, 102B enabling simultaneous testing of a sample of an unknown medium 128 and a sample of a known medium 130 and simultaneous measurement of the resonant frequencies and loss currents with, respectively, the frequency counters 134A and 134B and voltmeters 138A and 138B.
While the embodiment illustrated in
The resonant frequency of a Colpitts oscillator can be varied by varying the value of the inductance or the value of the capacitance of the tank circuit. A sample of a medium-under-test 214 secured in the region of the electric field of the oscillator by a sample holder 216 alters the value of the capacitance and the resonant frequency of the tank circuit. A frequency counter 134 connected to a transducer 132 outputs the resonant frequency at which the oscillator operates and a voltmeter 138 connected in parallel with the sense resistor R3, 136 measures the replacement current.
A difference between the molecular structure of an unknown medium-under-test and a known medium can be determined by comparing the resonant frequency and/or the loss current of a resonant circuit when operated with respective samples of the media located in an electric field region of the circuit. The resonant frequency and the loss current can be measured with instrumentation that is much less expensive than a network analyzer which is typically employed when performing dielectric spectroscopy.
The detailed description, above, sets forth numerous specific details to provide a thorough understanding of the present invention. However, those skilled in the art will appreciate that the present invention may be practiced without these specific details. In other instances, well known methods, procedures, components, and circuitry have not been described in detail to avoid obscuring the present invention.
All the references cited herein are incorporated by reference.
The terms and expressions that have been employed in the foregoing specification are used as terms of description and not of limitation, and there is no intention, in the use of such terms and expressions, of excluding equivalents of the features shown and described or portions thereof, it being recognized that the scope of the invention is defined and limited only by the claims that follow.
This application claims the benefit of U.S. Provisional Application No. 60/830,878, filed Jul. 14, 2006.
Number | Date | Country | |
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60830878 | Jul 2006 | US |