This invention relates to use of variable voltages, applied to an exposed end of a carbon nanotube immersed in a gas mixture for a variable time interval, to estimate gas composition.
Few sensors are available to detect inert gases. Conventional inert gas analysis tools primarily rely upon infrared (IR) spectroscopy, mass spectroscopy (MS) and/or thermal conductivity measurements. Thermal conductivity sensors are available for fixed and portable instruments, but this technique is not suitable for measuring extremely low levels of a gas (e.g., less than 1 percent by volume resolution), and the technique has difficulties when the target gas has a thermal conductivity close to that of a background gas. For example, measurement of oxygen in air is not feasible, because the two gases have essentially the same thermal conductivity.
IR spectroscopy is often used to measure carbon dioxide in air, or methane in carbon dioxide, as found in sewage digestor and coal gasification plants. This technique is superior to thermal conductivity sensing in accuracy and resolution, but use of IR is more expensive due to the complex optics and signal processing required. A MS-based sensor can be used to detect pressure of an inert gas, but this technique is expensive and heavy and time consuming and is not suitable for in situ measurements. Fourier transform IR and MS techniques require bulky, heavy instruments and/or high temperature operation, and consumption of electrical power is very large.
A voltage pulse discharge approach may provide a reasonable estimate of a threshold voltage for which discharge first occurs, and thus provide an estimate, by means of exclusion of most others, of a gas component having the smallest threshold discharge voltage. In practice, many workers do not distinguish between a discharge in a gas component that occurs instantaneously and a discharge in the same gas component that occurs only after a modest time delay (e.g., 5-30 sec) for what appears to be the same discharge. However, in some materials, the time delay decreases monotonically with increase in the pulse voltage so that the so-called discharge voltage may be ambiguous.
What is needed is a relatively lightweight and small sensor for inert gas components that consumes a relatively small amount of power, that provides measurements that are as accurate as the conventional approaches, and that distinguishes between a gas component discharge that occurs substantially instantaneously and a discharge in the same gas component that occurs after a substantial time delay. Preferably, this sensor should be able to detect and identify presence of one, two or more gas components, some or all of which may be relatively inert (e.g., Ne, Ar, Xe, Kr, CO, etc.), and to provide an estimate of concentration of at least one gas component
These needs are met by the invention, which provides a method and associated system to vary a voltage, applied to an exposed end of a carbon nanotube for a selected time interval, to promote gas discharge and to estimate a gas component involved in the discharge. Each component of a gas has a first (lower threshold discharge voltage value, V∞, at which discharge can occur after a long time delay (Δt(V∞;ho)≈∞), where “ho” refers to a discharge voltage holdoff value. Application of a voltage V above this lower limit V∞ will cause the gas component to undergo a discharge after a discharge holdoff time Δt(V;ho) that decreases as V increases above V∞. When the voltage V is equal to or greater than a second (upper) prompt discharge voltage value V0 (V≧V0≧V∞), the discharge occurs substantially instantaneously, as illustrated in
This procedure can be used to distinguish between two or more components (k=1, 2, . . . , K) present in a gas, if the threshold discharge voltage values V∞(k)— for each of the two or more gas components are spaced apart by at least a reasonable amount. As the voltage V is increased, the rate of change of an electrical parameter, such as current or cumulative electrical charge, will change (e.g., become non-zero) as the threshold discharge voltage value V∞(k) of each distinct gas component is exceeded.
This invention should be useful, by itself or in combination with other gas discharge methods, to determine the gas or gases are present in a gaseous medium, at low or moderate concentrations, and to estimate the concentration of one or more of the gases present. This invention can be automated, if desired, and used in space exploration (e.g., in a planet or satellite fly-by or for a crew exploration vehicle). This invention can also be used in a terrestrial environment, such as determination of gas composition in a hazardous substance environment. Use of one or more carbon nanotube contacts may allow a more precise determination of discharge voltage holdoff than would be available where a larger diameter electrical contact is used.
In
A voltage (difference) V is increased in steps and held approximately constant at each of a discrete sequence of voltages until a gas discharge first occurs after a holdoff (ho) time interval Δt(V∞;ho) after a threshold discharge voltage V∞ is established. Theoretically Δt(V∞;ho)≈∞. The voltage V is used to determine information on at least one gas component and/or on gas concentration in the gap, for one, two or more gas components.
The voltage difference ΔV is further increased above the threshold V∞, preferably in discrete steps, until a gas discharge occurs within a time interval of selected length (e.g., within 30 sec) after the (constant) voltage is established. This discharge holdoff voltage will increase from a lowest value V∞, which will require a very long time (theoretically, an infinite time) for discharge to occur, to higher voltages, V=Vi>V∞, where the discharge hold-off time Δt(V;ho) is finite and decreases monotonically with increasing voltage V, as illustrated in
Where N(≧2) gas components with distinct hold-off voltages, V∞(n) and V∞(n+1) (>V∞(n)), are present in the gap, the first (lowest) threshold discharge voltage V∞(1) is identified and the voltage V is increased in steps (discretely) until V∞(2) is reached. In the range V∞(n)<V<V∞(n+1), with n=1, 2, . . . , N−1, the current will increase monotonically and approximately linearly with a characteristic slope b(n) until the (n+1)th threshold discharge voltage is reached, after which the measured current will increase approximately linearly (with a characteristic slope b(n+1)>b(n)) above V∞(n+1), as illustrated in
Use of constant (non-pulsed) holdoff voltages, rather than pulse voltages, to characterize the components and/or concentrations, of a gas present in an anode-cathode gap defined in part by exposed ends of one or more CNTs, allows use of the threshold parameters V∞(n), the present slope value b(n), the current I(V) and/or cumulative electrical charge e(V) in the range V∞(n)≦V<V∞(n+1) to characterize one or more of the gas components and/or to provide consistency checks on the measurements. By contrast, use of a pulsed voltage discharge approach allows use of a lowest discharge pulse voltage V(disch;min) (assumed to be unique) and, with some ambiguity, the transient current I(V;n) or cumulative electrical charge e(V;n) associated with the condition V≧V(disch;min).
Preferably, the slope b(n) of electrical current or cumulative electrical charge between any two consecutive holdoff voltages, V∞(n)<V<V∞(n+1), is determined experimentally for the contribution of two gas constituents (numbers n and n+1) corresponding to these holdoff voltages. In this range, the electrical current I(V;n) (and, similarly, the cumulative electrical charge e(V;n)) may be expressed approximately as
I(V;n)=I{V∞(n);n}b(n)·{V−V∞(n)}p(V∞(n)<V<V∞(n+1)), (1)
with a choice p=p(n)≈1, illustrated graphically in
I(V;n)=I(V;n+1) at VV∞(n+1), (2)
which provides an estimate for the threshold discharge voltage value V∞(n+1) and the corresponding initial current value I(V=V∞(n+1);n+1). The approach associated with Eq. (2) can also be used where the current in an intermediate voltage range is nonlinear in V, for example,
I(V;n)=I(V=V∞(n);n) +b(n)·|V−V∞(n)|q(n)(V∞(n)≦V<V∞(n+1)), (3)
where q(n) is an exponent having any positive value, which may vary with the index n. Analogs of Eqs. (1)-(3) may also be applied to a measure of cumulative electrical charge e(V;n) for V∞(n)≦V<V∞(n+1).
The threshold discharge voltage value V∞(n) for a single gas component may vary with concentration c(n) of the component no. n. Where only a single component is present in the gas G, V∞ may vary with concentration c(n), because a mean scattering distance for gas particles (proportional to nearest neighbor distance) will be approximately proportional to c(n)-1/3.
The system 41 shown schematically in
In step 55, a threshold discharge voltage value V∞(meas), a corresponding prompt discharge voltage value V0(meas), intermediate discharge voltage values V=Vi(meas) (i=1, . . . , Ik; optional), with V∞(meas)≦V1(meas)≦V2(meas)≦ . . . ≦V0(meas), and corresponding observed discharge holdoff times Δt(V;ho) are measured or otherwise provided for the gas G. In step 56, a first error sum of weighted magnitudes of difference values, for example.
is computed, where wi and w∞ are non-negative weight coefficients and p1=p1(k) is a selected positive exponent number.
The system, in step 57, determines if ε1(k;p1) is no greater than a threshold error number ε1(k;thr), which may depend upon the index value k. If the answer to the query in step 57 is “yes,” the system notes, in step 58, that the candidate gas component number k is (likely to be) present in the gas G, and moves to step 59, where the counting index k is incremented (k—>k+1). If the answer to the query is step 57 is “no,” the system moves directly to step 59.
In step 60, the system determines if the (incremented) index k is greater than the number K of candidate gas components. If the answer to the query in step 60 is “no,” the system returns to step 54, and steps 54-60 are repeated. If the answer to the query in step 60 is “yes,” the system optionally reports that at least one of the candidate gas components, whose presence in the gas G was noted in step 58, is (likely to be) present in the gas G, in step 61. The process is optionally terminated in step 62.
One can ignore the effect(s) of the intermediate discharge voltage values in the error parameter ε1(k;p) in Eq. (4) by focusing on only the end values, V∞(k) and V0(k) and/or by setting wi=0 (i=1, . . . , Ik).
In an alternative approach, a second error sum can be formed from weighted magnitudes of differences of the discharge holdoff times
is computed, and the error sums ε1(k;p1(k)) and ε1(k) are replaced by ε2(k;p2(k)) and ε2(k), respectively, in steps 76 and 77, and a modified flow chart procedure is followed.
Where another (unknown) gas component number k+1, with k≧1) is present, or believed to be present, in the gas G, with V∞(k+1)>V∞(k), the procedure is preferably not terminated in step 62. Presence of the component number k+1 may be sensed by identifying a new threshold discharge voltage value, V=V∞(k+1) at which the slope b(k) in
As an alternative approach to applying a step function voltage V (above V∞) and subsequently holding the voltage constant, the voltage V=V(t) may be increased (linearly or nonlinearly) with time t at selected rates of increase, from an initial value V(t0n)≈0 to a value V=Vid>V∞ (i=1, 2, . . . ) until the discharge occurs, for each of a sequence of initial times t=t01<t02<t03< . . . This approach is illustrated in
Where another (unknown) gas component is present, or believed to be present, in the gas G, with a measured value V(new;meas;thr)>V(meas;thr), the procedure is preferably not terminated in step 62 in
The CNT-based gas sensor disclosed here uses the sharp (low radius of curvature) tip(s) of one or more CNTs, preferably multiwall carbon nanotubes (“MWCNTs”) or carbon nanofibers (“CNFs”), to generate high strength electrical fields adjacent to the tip(s) for breakdown of gas components with lower voltage application and lower generation of high leakage current. The system and associated method can provide a high sensitivity, low power consumption tool that is very specific for identification of one or more gas components. A current meter can be multiplexed to measure the leakage current from each of two or more spaced apart CNT arrays, and the voltage delivered can be multiplexed to different CNT arrays to provide different discharge voltages to each array. The current measured in each sensing channel can be digitized to correlate with each of the components of a complex gas. The discharge gas sensor system disclosed here can identify one or more specific threshold discharge voltage values independently of the gas concentration.
The gas sensor disclosed here can be operated at room temperature, or at any other reasonable temperature, and at any reasonable pressure, such as atmospheric pressure or moderately lower. Where the gas pressure in the chamber is p and the tip-to-constant voltage plate distance is d, the product pd will approximately characterize the pulse breakdown threshold voltage where d is no more than 1-3 mean free paths at the gas concentration provided.
This invention was made by one or more employees of the U.S. government. The U.S. Government has the right to make, use and/or sell the invention described herein without payment of compensation therefor, including but not limited to payment of royalties.
Number | Name | Date | Kind |
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6437329 | Yedur et al. | Aug 2002 | B1 |
7276266 | Khare et al. | Oct 2007 | B1 |
20060251543 | Koratkar et al. | Nov 2006 | A1 |