Capillary absorption spectrometer and process for isotopic analysis of small samples
09952144 ยท 2018-04-24
Assignee
Inventors
- M. Lizabeth Alexander (Richland, WA, US)
- James F. Kelly (Pasco, WA, US)
- Robert L. Sams (Kennewick, WA, US)
- James J. Moran (Richland, WA, US)
- Matthew K. Newburn (West Richland, WA, US)
- Thomas A. Blake (Kennewick, WA, US)
Cpc classification
G02B6/4296
PHYSICS
G01N21/718
PHYSICS
International classification
G01J3/30
PHYSICS
G01N21/31
PHYSICS
Abstract
A capillary absorption spectrometer and process are described that provide highly sensitive and accurate stable absorption measurements of analytes in a sample gas that may include isotopologues of carbon and oxygen obtained from gas and biological samples. It further provides isotopic images of microbial communities that allow tracking of nutrients at the single cell level. It further targets naturally occurring variations in carbon and oxygen isotopes that avoids need for expensive isotopically labeled mixtures which allows study of samples taken from the field without modification. The process also permits sampling in vivo permitting real-time ambient studies of microbial communities.
Claims
1. A capillary absorption spectrometer for analysis of low-volume samples, comprising: an excitation laser configured to supply a non-pulsed excitation beam to an absorption device having an absorption volume configured to receive the non-pulsed excitation beam from the excitation laser into a sample gas introduced therein; a modulation device comprising a second or higher order bias-T diplexer coupled to the excitation laser that suppresses harmonics from a repetitive linear current ramp source therein and sub-harmonics from a dither-modulated current source therein such that amplitude of the harmonics and the sub-harmonics is at least 60 dB lower than modulation waveform selected and provided to the excitation laser; and an optical isolation device disposed between the excitation laser and the absorption device that randomizes pointing angle and spread of the excitation beam that suppresses feedback noise induced by reflection of the excitation beam incident upon, and from within, the absorption device back to the excitation laser; and a laser ablation device that couples to a catalytic reactor and a transfer device, the laser ablation device is configured to deliver ablated sample particulates to the catalytic reactor for combustion and conversion of the sample particulates into a molecular gas, the transfer device is configured to transfer the molecular gas containing analytes from the catalytic reactor into the absorption device for analysis therein.
2. The capillary absorption spectrometer of claim 1, wherein the transfer device transfers analytes from the catalytic reactor at a first (high) pressure and delivers the analytes into the absorption device at a 2nd (lower) pressure without a loss of the analytes.
3. The capillary absorption spectrometer of claim 1, wherein the transfer device is a conduction-limited transfer device that provides continuous transfer of analytes from the catalytic reactor at the first (high) pressure to an IR (Isotope ratio) absorption device at the second (lower) pressure in concert with a graded reduction in pressure.
4. The capillary absorption spectrometer of claim 1, wherein the transfer device is a cryogenic transfer device that includes a cryogenic trap.
5. The capillary absorption spectrometer of claim 4, wherein the cryogenic trap is configured to receive analytes from the catalytic reactor at the first (high) pressure and to simultaneously condense and trap the analytes therein.
6. The capillary absorption spectrometer of claim 4, wherein the cryogenic trap is configured to isolate and evacuate the transfer device to match the second (lower) pressure of the absorption device.
7. The capillary absorption spectrometer of claim 4, wherein the cryogenic trap is configured to evaporate and transfer the analytes into the absorption device at the second (lower) pressure.
8. The capillary absorption spectrometer of claim 1, wherein the excitation laser is a continuous-wave laser.
9. The capillary absorption spectrometer of claim 1, further including one or more spatial selection (slit) devices disposed to deliver the excitation beam in an off-axis direction through a medium of the optical isolation device to the absorption device.
10. The capillary absorption spectrometer of claim 1, wherein the absorption device is a capillary optical waveguide.
11. The capillary absorption spectrometer of claim 1, wherein the absorption device is a tapered hollow waveguide with an internal diameter that varies as a function of length, or an optical fiber with a fixed internal diameter.
12. The capillary absorption spectrometer of claim 1, wherein the absorption device defines a volume configured to contain a total gas pressure at or below 25 Torr (0.03 atm).
13. The capillary absorption spectrometer of claim 1, wherein the modulation device includes a dither-modulated current source that delivers the dither-modulated frequency that is tuned to a frequency that is one-half (V2) Residual Amplitude Modulation (RAM) distortion frequency (response) of the excitation laser.
14. The capillary absorption spectrometer of claim 1, wherein the modulation device includes a repetitive linear current ramp source and the dither modulated current source each configured to deliver frequencies that are non-integer fractions of fundamental reference frequencies of these sources that suppresses cross talk arising from phase and/or frequency differences between these respective sources.
15. The capillary absorption spectrometer of claim 14, wherein the repetitive linear current ramp source delivers a frequency that is at least a factor of 5 below the frequency delivered by the dither-modulated current source.
16. The capillary absorption spectrometer of claim 1, further including a detection device operatively coupled to the absorption device configured to detect absorption features for one or more analytes when present in the sample gas in the absorption device.
17. The capillary absorption spectrometer of claim 16, wherein the detection device includes a phase-sensitive detection circuit, comprising: a first circuit segment comprising a diplexer configured to deliver a detection signal from the absorption device as an input to a double-balanced mixing device; and a second circuit segment comprising a Band-Pass Filter (BPF) configured to deliver a reference (drive) signal free of harmonic and intermodulation distortion from the dither-modulated current source of the modulation device as a separate input to the double-balanced mixing device.
18. The capillary absorption spectrometer of claim 17, wherein the double-balanced mixing device delivers an output signal comprising combinations of the signals received from the respective inputs.
19. The capillary absorption spectrometer of claim 17, wherein the double-balanced mixing device (DBM) couples to a diplexer of a 2nd or greater order configured to receive the mixed output signal from the DBM as an input and isolate a selected absorption response signal for one or more selected analytes present therein.
20. The capillary absorption spectrometer of claim 19, wherein the 2nd-order Diplexer delivers the isolated response signal at 1-times (If) or 2-times (2f) the dither-modulated frequency of the modulation device that is also 90 degrees out-of-phase with the RAM distortion frequency of the excitation laser.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
(8) A new laser ablation capillary absorption spectrometer (LA-CAS) and process are described that provide highly sensitive (down to 100 femtomoles) and accurate (0.2 or better) stable isotope measurements of molecular isotopologues present in samples including samples containing biological and other organic materials. The term isotopologue as used herein refers to molecular species that differ only in their isotopic composition, i.e., the number of isotopic substitutions. Each member of an isotopologue family has at least one atom with a different number of neutrons than the parent molecule. Water, as an example, has isotopologues that include: light water (HOH or H.sub.2O); semi-heavy water with the deuterium isotope present in equal proportion to protium (HDO or .sup.1H.sup.2HO); heavy water with two deuterium isotopes of hydrogen per molecule (D.sub.2O or .sup.2H.sub.2O); and super-heavy water or tritiated water (T.sub.2O or .sup.3H.sub.2O), where hydrogen atoms are replaced with tritium isotopes. Oxygen-related isotopologues of water include heavy-oxygen water (H.sub.2.sup.18O) and the slightly lighter isotopologue containing the .sup.17O isotope, (H.sub.2.sup.17O). In the doubly labeled water isotopologue, both oxygen (O) and hydrogen (H) are replaced by isotopes (D.sub.2.sup.18O). Further aspects of the present invention are detailed in a publication by Kelly et al. in [Review of Scientific Instruments 83, 023101 (2012)], which reference is incorporated herein in its entirety. The following description includes a best mode of at least one embodiment of the present invention. It will be clear from this description that the invention is not limited to these illustrated embodiments but that the invention also includes a variety of modifications and embodiments thereto. While the invention is susceptible of various modifications and alternative constructions, it should be understood, that there is no intention to limit the invention to the specific form disclosed, but, on the contrary, the invention is to cover all modifications, alternative constructions, and equivalents falling within the spirit and scope of the invention as defined in the claims. Therefore the present description should be seen as illustrative and not limiting.
LA-CAS Spectrometer
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Lasers
(10) Continuous wave lasers 4 suitable for use may include, but are not limited to, e.g., Quantum Cascade (QC) lasers, Distributed Feedback (DFB) lasers, Inductively Coupled (IC) lasers, External Cavity (EC) QC lasers, diode lasers, including combinations of these various lasers.
(11) Laser 4 may be contained within a Dewar vessel 8 that maintains a stable temperature for laser 4. In some embodiments, laser 4 may be cooled, e.g., with liquid nitrogen, or with a thermo-electric cooler (not shown). Temperatures may be selected that assist the shift in laser beam frequencies to a desired region of interrogation. In some embodiments, excitation beam 6 delivered by excitation laser 4 may be modulated with a sine wave at a modulation index that is less than or equal to the Doppler width of the molecular absorption line widths. The term modulation index as used herein is defined as the frequency range over which a sine wave varies the excitation laser 4.
Spatial Filtering
(12) Laser beam 6 transmitted from laser 4 may be focused in concert with various spatial filtering devices including, e.g., focusing lenses 10 and 12, slits 14, pin holes 16, distributed feedback (DFB) gratings, including combinations of these various devices. Spatial filtering devices may be further used to suppress reflections of light back to excitation laser 4. Eliminating reflected light may eliminate feedback noise in the absorption signal. For example, spatial filters including, e.g., slits 14 and pin holes 16 may be positioned at a tilt angle that selects a subset of rays from excitation beam 6 at a selected pointing angle (defined by an angle phi) and selected beam spread defined by a divergence angle (theta) into the absorption (transmission) device 30. Pointing angle (phi) as used herein is an angle representing the angular variation from the central axis of laser beam 6, described further in reference to
(13) In some embodiments, lenses 10 and 14 may be collimating (focusing) lenses that deliver excitation beam 6 from laser 4 such that the excitation beam 6 is delivered off-axis (i.e., at an angle that is offset from the central axis of excitation beam 6) into absorption (transmission) device 30.
(14) In some embodiments, lens 10 may be an external aspheric (e.g., F/1) lens constructed of a transmission material such as zinc selenide (ZnSe) that includes a broadband anti-reflective (AR) coating configured to transmit wavelengths from about 0.6 m to 16 m suitable for medium wavelength infra-red (i.e., MWIR) operation.
(15) In some embodiments, excitation beam 6 may be extracted through an off-axis pin hole 16 to absorption device 30 that suppresses feedback noise back to excitation laser 4.
(16) In some embodiments, lens 14 may be a plano-convex, AR-coated silicon (Si) lens (e.g., 50-mm focal length, with >98% bandpass in the MWIR) positioned, e.g., in front of pin hole 16 (e.g., 1.5-mm diameter), but lens types are not intended to be limited thereto.
Optical Isolation
(17) Laser 4 may be coupled to an optical isolation device 18 positioned between excitation laser 4 and absorption device 30 (discussed further in reference to
(18) Medium 24 may be a fluid medium, a gaseous medium, a liquid medium, an aerosol-containing medium, a particulate-containing medium, or combinations of these various media. Medium 24 may be an open medium an enclosed medium. For example, in some embodiments, medium 24 may be contained within an enclosure 23 or vessel 23. Elements in medium 24 may include, e.g., liquids, gases, particulates, aerosols, heat waves, sonic waves, and like elements that can define a gradient.
(19) Optical isolation as used herein refers to the process whereby the excitation laser may be isolated from reflected light that returns back to the excitation laser stemming from an optically coupled absorption (or transmission) device. Reflected light introduces feedback noise into the absorption (transmission) spectrum. Optical isolation in concert with the present invention may be achieved by inducing random spatial (i.e., 3-D positions in space) and temporal (time) variations in the index of refraction of a medium positioned between the excitation laser and the absorption (transmission) device. These random variations may be introduced by a turbulence generator into the medium across the propagation path through which the laser beam traverses en route to the absorption device, or a particulate (e.g., aerosol) generator that disperses particles of varying size and velocity in the medium through which the light beam from the excitation laser is delivered that randomizes the pointing angle and the spread of the light beam as a function of time while the light beam is en route to the absorption (or transmission) device. The turbulence or particulates prevent feedback noise from appearing in the resulting absorption spectrum (see
(20) Optical Isolation Device 18 may be configured to scatter light delivered from laser 4 through medium 24 en route to capillary waveguide 30 detailed hereafter such that light incident upon, and reflected from, the capillary waveguide 30 experiences scattering conditions and shifts in the pointing angle and beam spread that are different than conditions present for the incident light. The change in pointing and beam spread may serve to isolate laser 4 from reflected light, which serves to suppress optical feedback and resulting feedback noise in the absorption spectrum.
(21) In particular, turbulence may yield a random spatial and temporal variation in the index of refraction of medium 24 or a selected gradient in delivery medium 24 that may suppress feedback noise induced by reflection of the excitation beam 6 incident upon, and from within, the absorption device 30 back to excitation laser 4. Turbulence induced in the medium may provide a signal-to-noise ratio (SNR) enhancement of at least about a factor 2 or better.
(22) Optical isolation device 18 may include a turbulence generator 20 or randomization device that generates turbulence 26 in a medium (open or enclosed) 24 across the propagation path through which the laser beam 6 traverses en route to absorption device 30.
Turbulence Generators
(23) Turbulence generators 20 may include, but are not limited to, e.g., heat sources, gas sources, forced gas sources, flowing gas sources, aerosol devices, nebulizing devices, flame sources, sonic sources, liquid sources, forced liquid sources, flowing liquid sources, including combinations of these various devices.
(24) In some embodiments, the turbulence generator may be a heat gun configured to deliver a random spread or distribution of heat waves of varying temperature across the propagation path of light beam.
(25) In some embodiments, turbulence generator may be coupled to an enclosed liquid through which the light beam is directed that provides the variation in the index of refraction of the light beam when delivered from laser device to absorption (or transmission) device when directed through the liquid.
(26) In some embodiments, the randomization source may be an aerosol generator configured to deliver a random spread of aerosols or particulates dispersed in the medium with a random distribution of sizes and velocities as a function of time across the propagation path of the light beam that is delivered through the volume of aerosols to the absorption (or transmission) device that induces random spatial and temporal variations in the scatter of the beam as it passes through the aerosols or particulates in the medium while en route to the absorption (transmission) device. In some embodiments, the turbulence generator may be a vapor-nebulizing device. In some embodiments, the randomization source may be a sonic device configured to deliver a random spread of sonic waves at a plurality of temperatures above ambient across the propagation path of the light beam from the laser that provides the random spatial and temporal variation in the medium when the light beam is delivered through the spread of sonic waves to the absorption device and/or the transmission device.
Absorption Device
(27) The LA-CAS spectrometer 100 may also include an absorption (or a transmission) device 30 such as a hollow waveguide.
(28) In some embodiments, absorption device 30 may be a capillary waveguide configured to receive a sample gas for analysis containing analytes that absorb (or transmit) in the infra-red wavelength region when an excitation beam from an excitation laser is introduced into the sample gas therein.
(29) In some embodiments, the waveguide may have an internal diameter (I.D.) that is 1-mm and a length that is 0.8 meters. However, dimensions are not intended to be limited. In some embodiments, the waveguide may have an internal diameter that is constant. In some embodiments, the waveguide may be of a tapered design, with an internal diameter that varies as a function of length (i.e., one end has a smaller diameter than the other end) to suppress noise from reflections within the capillary.
(30) In some embodiments, gas volumes in the absorption (transmission) device may below about 0.6 cm.sup.3. In other embodiments, gas volumes may be greater than about 0.6 cm.sup.3. No limitations are intended.
(31) In some embodiments, waveguide 30 may include coatings optimized for selected laser wavelengths.
(32) In some embodiments, waveguide 30 may include Louisville optics, e.g., as detailed by Harper et al. in Laser-based Spectroscopic Detection Techniques, U.S. Pat. No. 7,102,751, which reference is incorporated herein in its entirety.
(33) Capillary waveguide 30 can allow analyses of samples at total gas pressures below about 25 Torr (0.03 atm), more preferably below about 2 Torr (0.003 atm), and yet more preferably between about 1 Torr (0.001 atm) and 2 Torr (0.003 atm).
(34) Absorption device 30 may also include transmission windows 32 and 38 positioned at respective ends of absorption device 30 that deliver selected IR wavelengths that are absorbed by analytes in absorption device 30 that provide for analysis of these analytes.
(35) In various embodiments, the waveguide may be a capillary waveguide that includes IR transmission windows composed of, e.g., ZnS that transmit wavelengths from about 0.6 m to 16 m. In some embodiments, the transmission windows may be composed of sapphire that transmits wavelengths in the range from about 0.15 m to 5 m. In other embodiments, transmission windows may be made of other transmission materials known in the art may be that transmit IR wavelengths within selected and suitable ranges for absorption by analytes in the waveguide. All transmission materials as will be selected by those of ordinary skill in the art in view of the disclosure are within the scope of the invention. No limitations are intended.
(36) Absorption device 30 may be coupled to low-dead-volume or vacuum tees 34 and 40 and vacuum valves 36 and 42 that allow sample gases and analytes to be introduced into waveguide 30 and exchanged from waveguide 30 for absorption measurements therein.
(37) In some embodiments, a gas inlet 48 may be employed to provide gas transfer rates into absorption device 30 at low inlet pressures, e.g., between about 0.5 Torr (710.sup.4 atm) and about 20 Torr (0.03 atm). Inlet 48 may be of a small dead volume design to provide gas-tight operation into waveguide 30. Gas inlet 48 may couple to any of a variety of instrument systems including, but not limited to, e.g., gas chromatographs (GC), laser-ablation and catalytic reactor devices detailed further herein, and other analytical devices. No limitations are intended.
(38) In some embodiments, waveguide 30 may be operated in a static mode. In some embodiments, waveguide 30 may be operated in a continuous (dynamic) mode.
(39) For example, in some embodiments, outlet valve 36 may couple to a vacuum system (not shown) allowing exchange of static samples or a controlled continuous flow of a sample in a dynamic or a continuous sampling mode at selected and selected and/or suitable vacuum pumping speeds and gas transfer rates. Position of valves in the present invention is not intended to be limited to exemplary embodiments described herein.
(40) In some embodiments, waveguide 30 may be coupled to a laser ablation device and a catalytic reactor as detailed hereafter, which permits conversion of solid samples into molecular gases suitable for absorption measurements within waveguide 30.
Laser Ablation and Catalytic Combustion Conversion
(41) Spectrometer (LA-CAS) 100 may include a laser ablation device 44 coupled with a catalytic (or combustion) reactor 46 that provides ablation of solid samples and conversion of the ablated particulates forming molecular gases. The molecular gases may be introduced to absorption device 30 for analysis in spectrometer (LA-CAS) 100.
Detector
(42) The LA-CAS spectrometer (LA-CAS) 100 may also include a detector 52 that is coupled to absorption device 30 and to a detection device 54 configured to detect absorption features for one or more analytes in a sample gas when introduced into absorption device 30. The detector transmits absorption (transmission) signals. Detectors suitable for use may include infra-red sensitive detectors such as indium-antimonide (InSb) detectors configured to produce an output current that is proportional to the intensity of the laser light transmitted from the absorption device that is now incident on the detector resulting from detection of absorption (transmission) signals generated in the waveguide during analysis.
Turbulence Generator Operation
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Conversion of Solid Samples
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Cryogenic Transfer Devices
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Conduction-Limited Transfer Devices
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Modulation Circuit
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(52) Modulation device 2 may further include a dither-modulated current source 128 [e.g., a DSO] that delivers a dither-modulated current (e.g., AC delivered at 1f) as an output in which the frequency of the modulated current is the in-quadrature condition of a residual amplitude modulation distortion frequency (response) of excitation laser 4. The term in-quadrature as used herein means the frequency oscillations (modulations) in the excitation beam differ or are separated in phase by 90 (/2 radians or /4) from the amplitude oscillations (or modulations). In some embodiments, dither-modulated current source 128 may be operated at frequency (f) that includes a crossover frequency near 95 kHz, e.g., as detailed by Kelly et al. [Review of Scientific Instruments, 83, 023101 (2012)]. No limitations are intended.
Driving Circuit
(53) The output (AC) from the dither-modulated current source [DSO F] 128 may be combined with the repetitive linear ramped current delivered from the linear current ramp source [DSO] 122 along with the DC offset current from the DC offset source 124 and provided as an output to a 2.sup.nd order or higher Bias-Tee (diplexer) 126 positioned in modulation device 2. Bias-Tee (diplexer) 126 may deliver a combined, summed, and thus total modulated current signal to excitation laser 4 as a function of time. Bias-tee 126 may also suppress harmonics from the repetitive linear current ramp source 122 and sub-harmonics from the dither-modulated current source 128 such that the amplitude of the harmonics and sub-harmonics is at least 60 dB lower than the total modulated current waveform selected and provided to excitation laser 4. The term harmonic means an integer multiple of a fundamental oscillation frequency delivered by a signal oscillator that may cause undesired noise in a detected signal. The term sub-harmonic means a fraction of the fundamental oscillation frequency delivered by a signal oscillator that may cause undesired noise in a detected signal.
Phase-Sensitive Detection Device Circuit
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(55) Phase-sensitive detection circuit 54 may also include a second circuit segment (leg) 104 that includes a Band-Pass Filter (BPF) 118 configured to deliver a reference (drive) signal free of harmonic and intermodulation distortion as a separate input to double-balanced mixing device 114.
(56) In some embodiments, the reference drive signal delivered to the bandpass filter 118 may be at a frequency (i.e., 1f) provided by the dither-modulated current source 128 that is the frequency for the in-quadrature condition of the residual amplitude modulation distortion frequency (response) of excitation laser 4. The term 1f refers to the drive frequency of the dither-modulated current source 128. Signal recovery can be achieved at (1f) when the amplitude of the laser device is constant over the wavelength range being scanned. Thus, no limitations are intended.
(57) In some embodiments, a 2.sup.nd DSO device 120 may be inserted between device [DSO F] 128 and bandpass filter 118 to deliver a reference or drive (2f) signal [e.g., for (2f) signal recovery] to bandpass filter 128 at a frequency (i.e., 2f) that is 2 times the frequency provided by the dither-modulated current source [DSO F] 128. The 2f drive frequency provided by DSO 120 device may be synchronized such that it is in-phase with the output (1f) frequency delivered from dither-modulated current source 128. The term 2f (or second harmonic detection or Waveform Modulated detection) refers to a drive frequency or a detection frequency that is twice the magnitude of the reference frequency delivered from the dither-modulated current source 128. A (2f) frequency may be used when the amplitude of the intensity of the laser beam is not constant over the wavelength range being scanned in order to eliminate slope in the baseline, delivering a flat baseline in the detection signal.
(58) Double-balanced mixing device 114 may then deliver an output signal made up of various combinations of signals (i.e., mixed signals) received from the respective inputs. For example, double-balanced mixing device (DBM) 114 may couple to a 2.sup.nd or greater order diplexer (bias-T) 122 configured to: 1) receive the mixed output signal from the DBM 114 as an input and 2) to isolate a selected absorption response signal (see discussion
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Detection Limits
(60) TABLE 1 compares instrumental gas-phase detection limits (DL) of LA-CAS 100 to commercial infrared absorption-based isotopic analyzers using internationally certified isotopic CO.sub.2 gas standards.
(61) TABLE-US-00001 TABLE 1 Compares molar detection limits and isotopic precisions () at given analysis (dwell) times for isotopic measurements of CO.sub.2 of commercial isotopic analyzers compared with the LA-CAS. Effective Measured Detection Precision, Limit Total CO.sub.2 Molar and Volume Pressure Concentration Sensitivity (Dwell System (mL) (Torr) (ppm) (Moles) Time) 1.sup.a 30 300 300 1.6 10.sup.7 0.5 (100 sec) 2.sup.b 120 300 300 6.4 10.sup.7 0.25 (60 sec) 3.sup.c 300 25 300 1.3 10.sup.7 0.2 (1 sec) LA-CAS 0.63 4.0 749 1.1 10.sup.10 0.6 (10 sec) LA-CAS 0.63 2.5 4500 4.2 10.sup.10 0.1 (10 sec) LA-CAS 0.63 2.0 390 2.0 10.sup.10 2 (10 sec) .sup.aPicarro CRDS instrument, E. H. Wahl et al. in Isotopes Environ. Health Stud. 42, 21 (2006). .sup.bLos-Gatos ICOS instrument [http://www.lgrinc.com]. .sup.cAerodyne 7.3-meter Herriott cell [see J. B. McManus et al. in Isotopes Environ. Health Stud., 46, 49 (2010); and D. D. Nelson et al. in Appl. Phys. B, 90, 301 (2008).
(62) In TABLE 1, isotopic precision () is stated in standard delta () notation used in isotopic measurements, in which stable isotopic compositions of low-mass (light) elements such as oxygen, hydrogen, carbon, nitrogen, and sulfur are normally reported as delta () values in parts per thousand (denoted as ) enrichments or depletions relative to a standard of known composition. The symbol () is spelled out in several different ways: per mil, per mil, per mill, or per mille. The term per mill is the ISO term, but is not yet widely used. Delta () values may be calculated, as given by Equation [1] below:
()=(R.sub.sample/R.sub.standard1)1000[1]
(63) Here, R is the ratio of the heavy to light isotope in the sample or standard. For the elements sulfur, carbon, nitrogen, and oxygen, the average terrestrial abundance ratio of the heavy to the light isotope ranges from 1:22 (sulfur) to 1:500 (oxygen); the ratio .sup.2H:.sup.1H is 1:6410. A positive () value means that the sample contains more of the heavy isotope than the standard. A negative () value means that the sample contains less of the heavy isotope than the standard. As an example, a .sup.15N value of +30 means that there are 30 parts-per-thousand (or 3%) more .sup.15N isotopes in the sample compared with the standard.
(64) As shown in TABLE 1, LA-CAS 100 of the present invention provides a sensitivity exceeding other infrared absorption detection methods. LA-CAS 100 with 1-mm ID hollow waveguides (HWGs) of nominal 1-m path length can resolve .sup.13C variances to less than 1 with total sample quantities down to 100 picomoles (pmols) using commercial standards. The LA-CAS has also demonstrated molar sensitivities down to 2 picomoles at 1, with projected improvements down to 100 femtomoles.
APPLICATIONS
(65) The LA-CAS of the present invention enables spatially resolved isotopic imaging in a variety of sample types for fundamental biological and chemical research and forensic applications, including, e.g., thin films, polymers, forensic samples including, e.g., hair (both human and animal), tree growth rings, and microbial systems. And, LA-CAS can be performed on samples under ambient atmospheric conditions that require no preparation beyond mounting the sample. Stable isotope analyses permit tracking of physical, chemical, and biological reactions in various sample materials in physical, biological, and chemical processes, interactions, and mechanisms at various spatial scales ranging from the atmosphere to individual microorganism cells. The LA-CAS may also be configured to study isotopic ratios of CO.sub.2 and other gases produced by catalytic combustion of evolved particulates created by UV laser ablation of nonvolatile organics, and can be used to study CO.sub.2 and other molecular gases directly from various niche bio-compartments including waste gases generated from soil bacteria and other environments.
(66) The LA-CS also provides highly sensitivity isotope ratio measurements on extremely small samples with volumes less than or equal to about 0.5 mL.
(67) The present invention also eliminates optical feedback in continuous (CW) Quantum Cascade (QC) lasers.
(68) While exemplary embodiments of the present invention have been shown and described, it will be apparent to those skilled in the art that many changes and modifications may be made without departing from the invention in its true scope and broader aspects. The appended claims are therefore intended to cover all such changes and modifications as fall within the spirit and scope of the invention.