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Fourier Transform Infrared Spectroscopy (FTIR) is an absorption spectroscopic technique to that has been used for analyzing the fundamental molecular structure of geological sample in recent decades. Like other infrared spectroscopy, the molecules in the sample are excited to a higher energy state due to the absorption of infrared (IR) radiation emitted from the IR source in the instrument, which results in vibrations of molecular bonds. The intrinsic physicochemical property of each particular molecule determines its corresponding IR absorbance peak, and therefore can provide characteristic fingerprints of functional groups (e.g. C-H, O-H, C=O, etc.). Most of the applications of FTIR on geology focus on the range of mid-infrared range of light, which is approximately 4000 to 400 cm−1.

In geosciences research, FTIR is applied extensively in measuring volatiles in glass and minerals in order to better understand the magmatic processes. It can also be used to estimate the explosion potential in volcanic setting. The study of chemotaxonomy of early life on earth can also be facilitated by the advancing spectroscopic technology. The biological affinities of both microfossils and macrofossils can be better understand by processing microstructural analysis using FTIR. These applications are discussed in details in the following sections.

Introduction of Instrumentation
The fundamental components of a Fourier transform spectrometer include a polychromatic light source and a Michelson Interferometer with a movable mirror. When light goes into the interferometer, it is separated into two beams with 50% reaching the static mirror and the other half reaches the movable mirror .. The two light beams reflect from the mirror and combine as a single beam again as they meet again at the beam spliter. The combined beams travel through the sample and finally collected by the detector. The retardation (total path difference) of light beam between the static mirror and movable mirror results in interference patterns. The IR absorption by the sample occurs at many frequencies and the resulting infereogram is composed of all frequency except for those absorbed. A mathematical approach Fourier Transform converts the raw data into spectrum.

Advantages of FTIR spectroscopy

 * FTIR technique shines a polychromatic beam of light with a wide range of continuous frequencies simultaneously, and therefore allows a much higher speed of scanning compared to the conventional monochromatic dispersive spectroscopy
 * Without the slit used in dispersive spectroscopy, FTIR allows more light to enter the spectrometer and gives a higher signal-to-noise ratio, i.e. a less-disturbed signal.
 * The IR laser used has a known wavelength and the velocity of the movable mirror can be controlled accordingly. This stable setup allows a higher accuracy for spectrum measurement.

Sample Characterization
Transmission FTIR, attenuated total reflectance (ATR)-FTIR, Diffuse reflectance infrared fourier transform (DRIFT) spectroscopy and reflectance micro-FTIR are commonly used for sample analysis.

Volatiles Diagnosis
The most commonly investigated volatiles are water and carbon dioxide as they are the primary volatiles to drive volcanic and magmatic processes. The absorbance of total water and molecular water is approximately 3450 cm-1 and 1630 cm-1;.. The peak height of the absorption bands for CO2 and CO32- are 2350 cm−1 and 1430 cm−1 respectively The phases of volatiles also give different frequency of bond stretch and eventually produce a specific wavenumber. For example, the band of solid and liquid CO2 occurs in between 2336 and 2345 cm−1; and the CO2 gas phase shows two distinctive bands at 2338 cm−1 and 2361 cm−1. This is due to the energy difference under vibrational and rotational motion of gas molecules.

The modified Beer-Lambert Law equation is commonly used in geoscience for converting the absorbance in the IR spectrum into the species concentration:

$$\omega=\frac{AM}{l\varepsilon\rho}$$

Where ω is wt. % of the species of interest within the sample; A is the absorbance of the species; M is the molar mass (in g mol−1); ϵ is molar absorptivity (in L mol−1 cm −1); l is sample thickness (in cm); ρ is density (in g mol−1)

There are various applications of identifying the quantitative amount of volatiles by using spectroscopic technology. The following sections provide some of the examples :

Example 1: Hydrous components in Nominally Anhydrous Minerals
Nominally anhydrous minerals (NAMs) are minerals with only trace to minor amount of hydrous component at their point of defects. Its chemical formula would be normally written without hydrogen. NAMs such as olivine and orthopyroxene accounts for a large proportion in the mantle volume. Individual minerals may contain only a very low content of OH but in the order of over thousand part per million by weight, they can contribute significant as the H2O reservoir on Earth and other terrestrial planets. The low concentration of hydrous components (OH and H2O) can be analyzed with Fourier Transform spectrometer due to its high sensitivity. Water is thought to have signifiant role in affecting mantle rheology, either by hydrolytic weakening to the mineral structure or by lowering the partial melt temperature. The presence of hydrous components within NAMs can therefore (1) provide information on the crystallization and melting environment in the initial mantle; (2) reconstruct the paleoenvironment of early terrestrial planet.

The water content of the melt can be estimated by adapting the water partition coefficient between the NAMs and silicate melt. This ratio is an indicator of how well water dissolve in NAMs compared to in silicate melt. The partial coefficient is not well constrained as they are derived by a water content dependent experiment. For example, FTIR spectrometer detects a water content of approximately 5.0 to 6.4ppm in plagioclase from lunar anorthositic melt with a partial coefficient of 0.004. Then, the water content of the silicate melt of the moon by the time of the plagioclase crystallized can be estimated by dividing the partial coefficient with the water content in plagioclase, i.e. approximately 1250ppm to 1600ppm. This range can only act as the maximum value since part of the melt may solidified into crustal material and trap some of the water.

Example 2: Fluid and Melt inclusions


Inclusion refers to the small impurities within a crystal. Melt inclusions and fluid inclusions can provide physical and chemical information of the geological environment in which the melt or fluid are trapped within the crystal. Fluid inclusion refers to the bubble within a mineral trapping volatiles or microscopic minerals within it. For melt inclusions, it refers to the parent melt of the initial crystallization environment being hold as melt parcel within a mineral. The inclusions preserved original melt and therefore can provide the magmatic condition where the melt is near liquidus. It is particularly important in the petrological and volcanological studies.

The size of inclusions is usually microscopic with a very low concentration of volatile species. By coupling a synchrotron light source to the FTIR spectrometer, the diameter of the IR beam can be significant reduced to as small as 3 µm. This allows a higher accuracy in detecting the targeted bubbles or melt parcels only without contamination from the surrounding host mineral.

By incorporating the other parameters, (i.e. temperature, pressure and composition), obtained from micro thermometry, electron and ion microprobe analyzers, it is able to reconstruct the entrapment environment and further infer the magma genesis and crustal storage. The above approach of FTIR has successfully detect the occurrence of H2O and CO2 in numbers of studies nowaday, For examples, the water saturated inclusion in olivine phenocryst erupted at Stromboli (Sicily, Italy) in consequences of depressurization, and the unexpected of occurrence of molecular CO2 in melts inclusion in Phlegraean Volcanic District (Southern Italy) inferred as the existence of a deep, CO2-rich, continuous degassing magma.

Example 3: Evaluate the explosive potential volcanic dome
Vesiculation, i.e. bubbles nucleation and growing, is the initiation of the eruption in volcanic dome. The evolution of vesiculation can be summarized in these steps.:
 * 1) The magma becomes progressively saturated with volatiles when water and carbon dioxide dissolves in it. Nucleation of bubbles start when then magma is supersaturated with these volatiles.
 * 2) Bubbles continue to grow by diffusive transfer of water gases from the magma. Stresses buildup inside the volcanic dome.
 * 3) The bubbles expand in consequence to the decompression of magma and explosions occur eventually. This terminates the vesiculation.

In order to understand the eruption process and evaluate the explosive potential, FTIR spectromicroscopy is used to measure millimeter-scale variations in H2O on obsidian samples near the pumice outcrop. The diffusive transfer of water from the magma host has already completed in the highly vesicular pumice which volatiles escapes during explosion. On the other hand, water diffusion has not yet completed in the glassy obsidian formed from cooling lava and therefore the evolution of volatiles diffusion is recorded within these samples. The H2O concentration in obsidian measured by FTIR across the samples increase away from the vesicular pumice boundary. The shape of the curve in the water concentration profile represent a volatile-diffusion timescale. The vesiculation initiation and termination is thus recorded in the obsidian sample. The diffusion rate of H2O can be estimated based on the following 1D diffusion equation.

$$\frac{\partial C}{\partial t}=\frac{\partial}{\partial x}\left ( D(C,T,P) \frac{\partial C}{\partial x} \right )$$

D(C, T, P): the Diffusivity of H2O in melt, which has an Arrhenian dependance on Temperature (T), Pressure (P) and H2O Content (C).

When generating the diffusion model with the diffusion equation, the temperature and pressure can be fixed to a high-temperature and low-pressure condition which resemble the lava dome eruption environment (e.g. T=850 °C, P=0.1MPa). The initial H2O content is fixed to be the maximum measure value from FTIR that resemble the supersaturated conditions of volatiles. Decrease of H2O content across an area of the sample thus controls the vesiculation timescale. The more gradual H2O decreases spread over larger distance in the sample represents a longer vesiculations events. As a result, the timing of explosions can be estimated from the vesiculation timescales inferred from diffusion models.

Establishing taxonomy of early life
For the large fossil with well-preserved morphology, paleontologists might be able to recognize it relatively easily with their distinctive anatomy. However, for microfossils that has simple morphology, compositional analysis by FTIR is an alternative way to better identify the biological affinities of these species. The high sensitivity of FTIR and very low amount of specimen required has stricken increasing interest in employing this technique on studying microfossils. FTIR result can also assist the development of plant fossil chemotaxonomy.

Aliphatic C-H stretching bands in the 2900 cm−1, aromatic C-Cring stretching band at 1600 cm−1, C=O bands at 1710 cm−1 are some of the common target functional groups examined by the paleontologists. CH3/CH2 is useful for distinguishing different groups of organism (e.g. Archea, bacteria and eucarya), or even the species among the same group (i.e. different plant species).

Example 4: Linkage between Acritarchs and microfossil taxa
350px|thumb|A supposed [[Ediacaran embryo contained within an acritarch]]

Acritarchs are microorganism characterized by their acid-resistant organic-walled morphology and they existed from Proterozoic to the present. There is no consensus on the common descent, the evolutionary history and the evolutionary relationship of acritarchs. They share similarity to cells or organelles with different origins listed below:
 * Cysts of eukaryotes: Eukaryotes are by definition organisms with cells that consists of a nucleus and other cellular organelles enclosed within a membrane. The cysts is a dominant stage in many microeukaryotes such as bacterium, that consists of a strengthened wall to protect the cell under unfavorable environment
 * Prokaryotic sheath: the cell wall of the single-celled organism that lacks all the membrane-bounded organelles such as the nucleus
 * Algae and other vegetative parts of multicellular organisms;
 * Crustacean egg cases.

Acritarchs samples are collected from drill core in places where Proterozoic microfossils have been reported, e.g. Roper Group (1.5Ga-1.4Ga) and Tanana Formation (ca. 590-565Ma) in Australia, Ruyang Group, China (around 1.4Ga-1.3Ga). Comparison of the chain length and presence of structure in modern eukaryotic microfossil and the acritarchs suggests possible affinities between some of the species. For example, the composition and structure of the Neoproterozoic acritarch Tanarium conoideum is consistent with algaenans, i.e. the resistant wall of green algae made up of long-chained methylenic-polymer that can withstand changing temperature and pressure throughout the geological history. Both of the FTIR spectra obtained from Tanarium conoideum and algaenans exhibit IR absorbance peaks at methylene CH2 bend (c. 1400 cm−1 and 2900 cm−1)

Example 5: Chemotaxonomy of plant fossils
The micro-structural analysis is a common way to complement with the conventional morphology taxonomy for plant fossils classification. FTIR spectroscopy can provide insightful information in the microstructure for different plant taxa. Cuticles is a waxy protective layer that covers plant leaves and stems to prevent loss of water. Its constituted waxy polymers are generally well-preserved in plant fossil, which can be used for functional group analysis. For example, the well-preserved cuticle of cordaitales fossils, an extinct order of plant, found in Sydney, Stellarton and Bay St. George shows similar FTIR spectra. This result confirms the previous morphological-based studies that all these morphologic similar cordaitales are originated from one single taxon