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Fourier Transform Infrared
(FTIR) Spectroscopy bases its functionality on the principle that almost all
molecules absorb infrared light. Only the monatomic (He, Ne, Ar, etc) and
homopolar diatomic (H2, N2, O2, etc) molecules do not absorb infrared light. Molecules
only absorb infrared light at those frequencies where the infrared light
affects the dipolar moment of the molecule. In a molecule, the differences of
charges in the electronic fields of its atoms produce the dipolar moment of the
molecule. Molecules with a dipolar moment allow infrared photons to interact
with the molecule causing excitation to higher vibrational states. The
homopolar diatomic molecules do not have a dipolar moment since the electronic
fields of its atoms are equal. Monatomic molecules do not have a dipolar moment
since they only have one atom. Therefore, homopolar diatomic molecules and
monatomic do not absorb infrared lighti. But all other molecules do!
Most FTIR spectroscopy uses
a Michelson interferometer to spread a sample with the infrared light spectrum
and measure the intensity of the infrared light spectrum not absorbed by the sample.
FTIR spectroscopy is a multiplexing technique, where all optical frequencies
from the source are observed simultaneously over a period of time known as scan
time.
The spectrometer measures
the intensity of a specially-encoded infrared beam after it has passed through
a sample. The resulting signal, which is a time domain digital signal, is
called an Interferogram (Figure 1) and contains intensity information
about all frequencies present in the infrared beam. This information can be
extracted by switching this signal from a time domain digital signal to a
frequency domain digital signal, which is accomplished by applying a Fourier
transform over the interferogram and producing what is called a Single
Beam Spectrum. Another characteristic of this signal is that it is a
statistically stationary signal, so the higher the number of scans of which
this signal is composed, the better the estimate that can be extracted from the
data.

Figure 1 Interferogram
As mentioned earlier,
almost all molecules absorb infrared light, and each type of molecule only
absorbs infrared light at certain frequencies. This property provides a unique
characteristic for each molecule. It provides a way to identify the molecule
type (Qualitative analysis) and the amount or quantity of this molecule in the sample
(Quantitative analysis). Since each type of molecule only absorbs at certain
frequencies, it provides a unique absorption spectral pattern or fingerprint
through the entire infrared light spectrum. In this way, the more molecules of
the same type in the sample, the more infrared light is absorbed at those
specific frequencies at which those molecules absorb infrared light.
As an example, Figure 2 and
Figure 3 show two of the moisture fingerprints with absorption bands centered
at 1596 and 3756 cm-1. Figure 2 presents a moisture concentration of 10
ppm/v, and Figure 3 presents a moisture concentration of 100 ppm/v. We can
observe, by looking at both figures, that they present almost identical patterns,
but the sample with the most moisture has higher peaks (observe higher
Absorbance values on the ordinate scale).

Figure 2 Moisture @ 10ppm/vin the midinfrared region
The height of the peaks are
defined by the Beer-Lambert relationship (or Beer’s law). Beer’s law states
that the concentration C is directly proportional to the absorbance A.
This is Eq. 1 A abC = where a is the
absorptivity of the molecule and b is the pathlength or distance that
the light travels through the sample gas.

Figure 3 Moisture @100ppb/v in the midinfrared region
This relationship can be
used to determine the concentration of a molecule in a gas by comparing the
height of a maximum absorption peak of the molecule in a reference gas spectrum
to the height of the corresponding peak in a sample spectra.
An absorption spectrum is
calculated by performing the logarithmic ratio between a sample single beam
spectrum ‘sample’ (Figure 5) and a background single beam
spectrum ‘background’ (Figure 4). The sample measures
the intensity of the infrared light reaching the detector with a sample placed
in the path of the encoded infrared light. The background is a single
beam spectrum that measures the intensity of the infrared light reaching the
detector without any sample. The frequencies of infrared light radiation that
are absorbed and the strength of these absorption bands are determined by the sample’s
chemical makeup. It is important to note that the single beam background
spectrum is used as a point of reference to determine the absorption of a
sample inside the sample compartment. This background reflects
the conditions inside the spectrometer at the moment it was taken, so it is
important to maintain a stable environment inside the spectrometer. This means
that the conditions inside the spectrometer must have minimal fluctuations,
through all background and sample collections.

Figure 4 Single BeamBackground Spectra (No sample)

Figure 5 Single Beam SampleSpectra
As an example, consider the
normal impurities inside the spectrometer (see Table 1). These impurities will
start absorbing infrared light immediately after the light is emitted by the infrared
light source. The infrared light absorbed by these impurities are reflected in
the background spectrum; however, since the sample spectrum goes through the
same path inside the spectrometer, the sample should reflect the
same amount of infrared light absorbed plus the infrared light absorbed by the
sample. If the impurities increase inside the spectrometer while the scanning
of the sample spectrum is in progress, then this increment in impurities will be
interpreted as part of the impurities in the sample.

Table 1 Composition of theAtmosphere
A detailed explanation of
how FTIR spectrometers work has been given elsewhereii.
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