This invention relates to gas sensors, and more particularly to hydrogen sensors.
There are many technologies for sensing hydrogen, some of them are commercialized. Most of the technologies can be split into two categories—chemical sensors and palladium-based sensors. They use properties of hydrogen to interact with materials, either via chemical reactions as in metal oxide sensors, or by dissolving in Pd and changing the physical properties of Pd—H system. The property of Pd to dissolve and store hydrogen is implemented in many approaches to designs of the sensors, including quartz microbalance sensors, which detect a change in resonance oscillation frequency as the palladium film changes its mass while it absorbs hydrogen. A related patent is U.S. Pat. No. 6,029,500. However, using palladium or similar hydrogen dissolving metals as active coatings results in poor stability of the devices as the metal surface oxidizes with time, and also in case of Pd, it can be poisoned by sulfur or delaminated due to the phase change occurring at high hydrogen concentrations. Thus, it is desired to have a sensor stable in time at various chemical and physical conditions.
Like reference symbols in the various drawings indicate like elements.
Hydrogen is known as the element with the smallest atomic mass. In a gas mixture in thermodynamic equilibrium, molecules have a mean energy of ˜3/2 kT, whether they are molecules of hydrogen, nitrogen, oxygen, etc. The momentum of a molecule is mν, where m is molecular mass, and ν is the mean molecular velocity equal to (8 kT/πm)1/2. So, the momentum of a gas molecule at a given temperature will depend on its mass as (m)1/2. The difference in momentum and size (effective diameter) of molecules leads to the difference in other macroscopic parameters of gases, such as viscosity and diffusion rate.
During oscillations in a gas environment, a vibrating object, such as tuning fork, tines impart momentum to gas molecules resulting in mechanical energy loss in the tines. This loss causes a change in the resonant oscillation frequency of the fork, and the frequency shift will depend on a momentum that the tines impart to gas molecules. This means that in a gas that contains light molecules, such as hydrogen, the losses due to interaction with the gas molecules will be less than in an environment without hydrogen. Hence, the frequency of oscillations will be higher in an environment having a presence of hydrogen.
In a tuning fork quartz oscillator, the fork tines symmetrically vibrate in an antiphase flexure mode, wherein the tines move in opposite directions against each other at any moment in time. The speed at which the tines oscillate can be estimated as follows. The amplitude of the tine deflection is approximately 60 nm/V. If the driving voltage on the tines is about 1V, then at a frequency of 32768 Hz, the tines will have a characteristic speed of ˜2 mm/sec. That is much less than the speed of gas molecules (hundreds of meters per second), and it is possible to consider a quasi-static case for this interaction. Therefore, it is mostly the macroscopic characteristics of gases that will affect tuning fork oscillation frequency.
The described tuning fork sensor is not selective to hydrogen, and other light gases like, helium, may interfere with the H2. To avoid interference, it is possible to use H2-permeable membranes, like Pd (palladium) membranes, to improve selectivity.
The frequency change in the tuning fork resonator is usually small, so a differential frequency detection method may be used for the detection of small frequency deviations.
Along with frequency, the quality factor Q and the electric impedance of the tuning fork resonator changes as the oscillation energy is dissipated in gas environment.
Referring to
The sensor 100 may be characterized using hydrogen gas mixed with air at volume concentrations of 0 to 16% at room temperature. The hydrogen-air mixture may be prepared using two 100 sccm mass flow controllers. The interval between the frequency beats may be measured using a Tektronix CDC250 counter.
The response of the sensor 100 to hydrogen is quite linear in all ranges of concentrations. As can be seen in
The concentration of hydrogen can then be calculated as follows:
f1=f10+kCH2,
f2=f10+f12,
Δf=f1−f2=f10+kCH2−f10+f12=kCH2+f12,
where f10 is the frequency of oscillator OSC1303 without hydrogen, f12 is the difference between the frequencies of OSC1303 and OSC2304 without hydrogen, k is the proportionality factor, and CH2 is the concentration of hydrogen. The last expression can be recalculated as follows:
CH2=(Δf−f12)/k.
Test results for sensor 300 with sealed and open can oscillators are shown in
Referring to
T=1/Δf=1/(f1−f2)=1/(kCH2+f12).
If the OCXO stabilized generator has a frequency of f0, then the number of pulses at the output N of pulse counter 501 will be
N=f0T=f0/Δf=f0/(kCH2+f12).
In another embodiment, a device for measuring oscillation parameters of the tuning fork detects changes in Q factor and an impedance of the tuning fork as hydrogen will change the energy that is dissipated by the tuning fork tines. The energy dissipation in the tuning fork can be described as follows.
If a mechanical system such, as a tuning fork, has a mechanical resistance RM, the quality factor Q at a resonant frequency f0 will be
Q˜f0/RM.
The mechanical resistance RM is a function of the gas viscosity V, and thus RM can be described as the following series:
RM=RM0(1+c1V+c2V2+ . . . )
where c1, c2, . . . , are the proportionality coefficients. For media with low viscosity, such as a gas, this can be rewritten as
RM=RM0(1+c1V)
where RM0 is the mechanical resistance in vacuum and does not depend on a gas viscosity.
Hydrogen has approximately two times lower viscosity than air (8.4×10−6 Pa*s vs. 17.4×10−6 Pa*s at 0° C.), and, hence, the mechanical resistance will decrease at higher relative hydrogen concentrations. Thus:
RM=RM0(a−bCH2),
where a and b are functions of viscosities of hydrogen and a balanced gas (such as air), and CH2 is a relative concentration of hydrogen in the gas mixture. Then the concentration can be defined as
CH2˜(a−f0/QRM0)/b
where Q can be measured experimentally. The quality factor can be easily found when the quartz tuning fork is a part of an electrical circuit, since, by definition,
Q=f0/Δf.
Measuring Δf can be done by conventional methods used in electronics (frequency sweeping around f0, measuring amplitude attenuation of oscillation pulses (damping factor), etc.). Since the electric impedance is also a function of the quality factor,
|Z(ω)|2˜(1/Q2−1)+(ω/ω0)2+(ω0/ω)2,
it can be used for determination of hydrogen concentration as well.
Referring to
As described above, the vibration frequency of the nanotube 601 or nanowire will depend on the viscosity of a surrounding gas, which, in turn, will depend on the concentration of hydrogen in the gas.
The sensitivity range of the sensor is 0 to 100% H2, with a detectivity limit of at least 1%, as can be seen from the sensitivity graphs shown above in
An LEL detector that uses the described sensor may be a portable handheld device, with a sensor incorporated in the device body, or placed at the end of an attachable sampling probe. The device may have indications of concentration on a display along with a sound alarm if the concentration of hydrogen reaches a certain critical level. Other applications include water electrolysers, hydrogen storage systems, industrial equipment, etc.
Improvements can be made to stabilize the sensor response against temperature, humidity, atmospheric pressure, quartz aging, and other conditions of operation.
A number of embodiments of the invention have been described. Nevertheless, it will be understood that various modifications may be made without departing from the spirit and scope of the invention.
This application claims priority to U.S. Provisional Patent Application Ser. No. 60/719,548, filed Sep. 22, 2005.
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