# Cavity ring-down spectroscopy

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Cavity ring-down spectroscopy

Cavity ring down spectroscopy (CRDS) is a spectroscopic technique for measuring the transmission - or more accurately, the absorbance - of light through a material. CRDS can provide extremely sensitive measurements, allowing scientists to measure very small differences in the amount of absorbed light.

CRDS can be used to measure the concentration of some light-absorbing substances. Typically, the substances to be measured are in gaseous form. The technique is also known as cavity ring-down laser absorption spectroscopy (CRLAS).

CRDS uses an optical cavity—a pair of mirrors facing each other. A brief pulse of laser light is injected into the cavity, and it bounces back and forth between the mirrors. A small amount of the laser light (typically 0.1% or less) leaks out of the cavity on each bounce. A detector measures this leakage. Since some light is lost on each reflection, the amount of light inside the cavity is slightly less after each bounce. Since the light that leaks out is a percentage of the light inside the cavity, the amount of light measured also decreases with each reflection.

If something that absorbs light is placed in the cavity, the amount of light decreases faster—it makes fewer bounces before it is all gone. A CRDS setup measures how long it takes for the light to drop to a certain percentage of its original amount, and this "ringdown time" can be used to calculate the concentration of the absorbing substance in the gas mixture in the cavity.

Detailed description

Cavity ring down spectroscopy is a form of laser absorption spectrometry. In CRDS, a laser pulse is trapped in a highly reflective (typically R > 99.9%) detection cavity. The intensity of the trapped pulse will decrease by a fixed percentage during each round trip within the cell due to both absorption by the medium within the cell and reflectivity losses. The intensity of light within the cavity is then determined as an exponential function of time.

:$I\left(t\right) = I_0 exp left \left(- t / au ight\right)$

The principle of operation is based on the measurement of a decay rate rather than an absolute absorbance. This is one reason for the increased sensitivity over traditional absorption spectroscopy. The decay constant, τ, is called the ring-down time and is dependent on the loss mechanism(s) within the cavity. For an empty cavity, the decay constant is dependent on mirror loss and various optical phenomena like scattering and refraction:

:$au_0 = frac\left\{n\right\}\left\{c\right\} cdot frac\left\{l\right\}\left\{1-R+X\right\}$

where "n" is the index of refraction within the cavity, "c" is the speed of light in vacuum, "l" is the cavity length, "R" is the mirror reflectivity, and "X" is the miscellaneous optical losses. This equation uses the approximation ln(1+"x") ≈ "x" for "x" close to zero, which is the case under cavity ring-down conditions. Often, the miscellaneous losses are factored into an effective mirror loss for simplicity. An absorbing species in the cavity will increase losses according to the Beer-Lambert law. Assuming the sample fills the entire cavity,

:$au = frac\left\{n\right\}\left\{c\right\} cdot frac\left\{l\right\}\left\{1-R+X+ alpha l \right\}$

where α is the absorption coefficient for a specific analyte concentration. The absorbance, "A", due to the analyte can be determined from both ring-down times.

:$A = frac\left\{n\right\}\left\{c\right\} cdot frac\left\{l\right\}\left\{2.303\right\} cdot left \left( frac\left\{1\right\}\left\{ au\right\} - frac\left\{1\right\}\left\{ au_0\right\} ight\right)$

Alternately, the molar absorptivity, ε, and analyte concentration, "C", can be determined from the ratio of both ring-down times.
:$frac\left\{ au\right\}\left\{ au_0\right\} = frac\left\{ alpha l \right\}\left\{1-R\right\} = frac\left\{ epsilon l C\right\}\left\{2.303\left(1-R\right)\right\}$

There are two main advantages to CRDS over other absorption methods:

First, it isn't affected by fluctuations in the laser. In most absorption measurements, the light source must be assumed to remain steady between blank (no analyte), standard (known amount of analyte), and sample (unknown amount of analyte). Any drift (change in the light source) between measurements will introduce errors. In CRDS, the ringdown time does not depend on the brightness of the laser, so fluctuations aren't a problem.

Second, it is very sensitive due to its long pathlength. In absorption measurements, the smallest amount that can be detected depends on the length that the light travels through a sample. Since the light reflects many times between the mirrors, it ends up traveling long distances. For example, a laser pulse making 500 round trips through a 1 meter cavity will effectively have traveled through 1 kilometer of sample.

*High sensitivity due to the multipass nature (i.e. long pathlength) of the detection cell.
*Immunity to shot variations in laser intensity due to the measurement of a rate constant.
*High throughput, individual ring down events occur on the millisecond time scale.
*No need for a fluorophore, which makes it more attractive than LIF or REMPI for some (e.g. rapidly predissociating) systems.

*Spectra cannot be acquired quickly due to the monochromatic laser source which is used. Having said this, some groups are now beginning to develop the use of broadband LED sources for CRDS, which can then be dispersed by a grating onto a CCD, or Fourier transformed.
*CRDS mirrors often work only over a narrow wavelength range (e.g. 415nm +-5nm)
*Analytes are limited both by the availability of tunable laser light at the appropriate wavelength and also the availability of high reflectance mirrors at those wavelengths.
*Expense: the requirement for laser systems and high reflectivity mirrors often makes CRDS orders of magnitude more expensive than some alternative spectroscopic techniques.

ee also

*Absorption spectroscopy
*Laser absorption spectrometry
*Noise-Immune Cavity-Enhanced Optical-Heterodyne Molecular Spectroscopy (NICE-OHMS)
*Tunable Diode Laser Absorption Spectroscopy (TDLAS)

References

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