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Infrared Spectroscopy

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Infrared spectroscopy



 
 
Infrared spectroscopy (IR spectroscopy) is the subset of spectroscopy
Spectroscopy

Spectroscopy was originally the study of the interaction between radiation and matter as a function of wavelength . In fact, historically, spectroscopy referred to the use of visible light dispersed according to its wavelength, e.g....
 that deals with the infrared
Infrared

Infrared radiation is electromagnetic radiation whose wavelength is longer than that of visible light , but shorter than that of terahertz radiation and microwaves ....
 region of the electromagnetic spectrum
Electromagnetic spectrum

The electromagnetic spectrum is the range of all possible electromagnetic radiation frequencies. The "electromagnetic spectrum" of an object is the characteristic distribution of electromagnetic radiation from that particular object....
. It covers a range of techniques, the most common being a form of absorption spectroscopy
Absorption spectroscopy

Absorption spectroscopy refers to a range of techniques employing the interaction of electromagnetic radiation with matter. In absorption spectroscopy, the intensity of a beam of light measured before and after interaction with a sample is compared....
. As with all spectroscopic techniques
Spectroscopy

Spectroscopy was originally the study of the interaction between radiation and matter as a function of wavelength . In fact, historically, spectroscopy referred to the use of visible light dispersed according to its wavelength, e.g....
, it can be used to identify compounds or investigate sample composition. Infrared spectroscopy correlation table
Infrared spectroscopy correlation table

In physical chemistry and analytical chemistry, infrared spectroscopy is a technique used to identify chemical compounds based on how infrared is absorbed by the compounds' chemical bonds....
s are tabulated in the literature.

infrared portion of the electromagnetic spectrum is divided into three regions; the near-, mid- and far- infrared, named for their relation to the visible spectrum.






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Infrared spectroscopy (IR spectroscopy) is the subset of spectroscopy
Spectroscopy

Spectroscopy was originally the study of the interaction between radiation and matter as a function of wavelength . In fact, historically, spectroscopy referred to the use of visible light dispersed according to its wavelength, e.g....
 that deals with the infrared
Infrared

Infrared radiation is electromagnetic radiation whose wavelength is longer than that of visible light , but shorter than that of terahertz radiation and microwaves ....
 region of the electromagnetic spectrum
Electromagnetic spectrum

The electromagnetic spectrum is the range of all possible electromagnetic radiation frequencies. The "electromagnetic spectrum" of an object is the characteristic distribution of electromagnetic radiation from that particular object....
. It covers a range of techniques, the most common being a form of absorption spectroscopy
Absorption spectroscopy

Absorption spectroscopy refers to a range of techniques employing the interaction of electromagnetic radiation with matter. In absorption spectroscopy, the intensity of a beam of light measured before and after interaction with a sample is compared....
. As with all spectroscopic techniques
Spectroscopy

Spectroscopy was originally the study of the interaction between radiation and matter as a function of wavelength . In fact, historically, spectroscopy referred to the use of visible light dispersed according to its wavelength, e.g....
, it can be used to identify compounds or investigate sample composition. Infrared spectroscopy correlation table
Infrared spectroscopy correlation table

In physical chemistry and analytical chemistry, infrared spectroscopy is a technique used to identify chemical compounds based on how infrared is absorbed by the compounds' chemical bonds....
s are tabulated in the literature.

Background and Theory

The infrared portion of the electromagnetic spectrum is divided into three regions; the near-, mid- and far- infrared, named for their relation to the visible spectrum. The far-infrared, approximately 400-10 cm-1
Wavenumber

Wavenumber in most physics sciences is a wave property inverse related to wavelength, having SI units of reciprocal metre . Wavenumber is the space analog of frequency, that is, it is the measurement of the number of repeating units of a propagating wave per unit of space....
 (1000–30 µm), lying adjacent to the microwave
Microwave

Microwaves are electromagnetic radiation with wavelengths ranging from 1 mm to 1 m, or frequency between 0.3 hertz and 300 GHz....
 region, has low energy and may be used for rotational spectroscopy
Rotational spectroscopy

Rotational spectroscopy or microwave spectroscopy studies the Absorption and Emission electromagnetic radiation by molecules associated with a corresponding change in the Rigid rotor#Quantum mechanical rigid rotor quantum number of the molecule....
. The mid-infrared, approximately 4000-400 cm-1 (30–1.4 µm) may be used to study the fundamental vibrations and associated rotational-vibrational structure. The higher energy near-IR, approximately 14000-4000 cm-1 (1.4–0.8 µm) can excite overtone or harmonic
Harmonic (mathematics)

In mathematics, a number of concepts employ the word harmonic . The similarity of this terminology to that of harmonic is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving Laplacians; the solutions to which are given by eigenvalues corresponding to their modes of vibration....
 vibrations. The names and classifications of these subregions are merely conventions. They are neither strict divisions nor based on exact molecular or electromagnetic properties.

Infrared spectroscopy exploits the fact that molecules have specific frequencies at which they rotate or vibrate corresponding to discrete energy level
Energy level

A Quantum mechanics system or particle that is Bound state, confined spatially, can only take on certain discrete values of energy, as opposed to Classical mechanics particles, which can have any energy....
s (vibrational modes). These resonant frequencies are determined by the shape of the molecular potential energy surface
Potential energy surface

A potential energy surface is generally used within the adiabatic approximation or Born?Oppenheimer approximation in quantum mechanics and statistical mechanics to model chemical reactions and interactions in simple chemical and physical systems....
s, the masses of the atoms and, by the associated vibronic coupling
Vibronic coupling

In theoretical chemistry, the vibronic coupling terms, , are proportional to the interaction between electronic and nuclear motions of molecules....
. In order for a vibrational mode in a molecule to be IR active, it must be associated with changes in the permanent dipole. In particular, in the Born-Oppenheimer
Born-Oppenheimer approximation

In quantum chemistry, the computation of the energy and wavefunction of an average-size molecule is a formidable task that is alleviated by the Born-Oppenheimer approximation....
 and harmonic approximations, i.e. when the molecular Hamiltonian
Molecular Hamiltonian

In atomic, molecular, and optical physics as well as in quantum chemistry, molecular Hamiltonian is the name given to the Hamiltonian representing the energy of the electrons and Atomic nucleus in a molecule....
 corresponding to the electronic ground state can be approximated by a harmonic oscillator
Quantum harmonic oscillator

The quantum harmonic oscillator is the quantum mechanics analogue of the harmonic oscillator. It is one of the most important model systems in quantum mechanics because an arbitrary potential can be approximated as a harmonic potential at the vicinity of a stable equilibrium point....
 in the neighborhood of the equilibrium molecular geometry
Molecular geometry

Molecular geometry or molecular structure is the three-dimensional arrangement of the atoms that constitute a molecule. It determines several properties of a substance including its Reactivity , Chemical polarity, Phase , color, magnetism, and biological activity....
, the resonant frequencies are determined by the normal modes corresponding to the molecular electronic ground state potential energy surface. Nevertheless, the resonant frequencies can be in a first approach related to the strength of the bond, and the mass of the atoms
Atomic mass

The atomic mass is the mass of an atom, most often expressed in Atomic mass units. The atomic mass may be considered to be the total mass of protons, neutrons and electrons in a single atom ....
 at either end of it. Thus, the frequency of the vibrations can be associated with a particular bond type.

Simple diatomic molecules have only one bond, which may stretch. More complex molecules have many bonds, and vibrations can be conjugated, leading to infrared absorptions at characteristic frequencies that may be related to chemical groups. For example, the atoms in a CH2 group, commonly found in organic compound
Organic compound

An organic compound is any member of a large class of chemical compounds whose molecules contain carbon. For historical reasons discussed below, a few types of compounds such as carbonates, simple oxides of carbon and cyanides, as well as the allotropes of carbon, are considered Inorganic compound....
s can vibrate in six different ways: symmetrical and antisymmetrical stretching, scissoring, rocking, wagging and twisting:

Symmetrical
stretching
Antisymmetrical
stretching
Scissoring Rocking Wagging Twisting
Symmetrical Stretching
Asymmetrical Stretching
Scissoring
Wagging
Twisting


The infrared spectrum of a sample is collected by passing a beam of infrared light through the sample. Examination of the transmitted light reveals how much energy was absorbed at each wavelength. This can be done with a monochromatic beam, which changes in wavelength over time, or by using a Fourier transform
Fourier transform

In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions....
 instrument to measure all wavelengths at once. From this, a transmittance
Transmittance

In optics and spectroscopy, transmittance is the fraction of incident light at a specified wavelength that passes through a sample. Specifically, visible transmittance is this fraction for visible light....
 or absorbance
Absorbance

In spectroscopy, the absorbance A is defined as,where is the intensity of light at a specified wavelength ? that has passed through a sample and is the intensity of the light before it enters the sample or incident light intensity....
 spectrum can be produced, showing at which IR wavelengths the sample absorbs. Analysis of these absorption characteristics reveals details about the molecular structure of the sample.

This technique works almost exclusively on samples with covalent bond
Covalent bond

A covalent bond is a form of chemical bonding that is characterized by the sharing of pairs of electrons between atoms, or between atoms and other covalent bonds....
s. Simple spectra are obtained from samples with few IR active bonds and high levels of purity. More complex molecular structures lead to more absorption bands and more complex spectra. The technique has been used for the characterization of very complex mixtures.

Sample preparation

Gaseous samples require little preparation beyond purification, but a sample cell with a long pathlength (typically 5-10 cm) is normally needed, as gases show relatively weak absorbances.

Liquid samples can be sandwiched between two plates of a high purity salt (commonly sodium chloride
Sodium chloride

Sodium chloride, also known as common salt, table salt, or halite, is a chemical compound with the chemical formula SodiumChlorine....
, or common salt, although a number of other salts such as potassium bromide
Potassium bromide

Potassium bromide is a salt , widely used as an anticonvulsant and a sedative in the late 19th and early 20th centuries. Its action is due to the bromide ion ....
 or calcium fluoride
Calcium fluoride

Calcium fluoride is an insoluble ionic chemical compound of calcium and fluorine. It occurs naturally as the mineral fluorite , and it is the source of most of the world's fluorine....
 are also used). The plates are transparent to the infrared light and will not introduce any lines onto the spectra. Some salt plates are highly soluble in water, so the sample and washing reagents must be anhydrous
Anhydrous

As a general term, a substance is said to be anhydrous if it contains no water. The way of achieving the anhydrous form differs from one substance to another....
 (without water).

Solid samples can be prepared in four major ways. The first is to crush the sample with a mulling agent (usually nujol
Nujol

Nujol is a brand of mineral oil by Plough, Inc. used in infrared spectroscopy. It is a heavy paraffin oil so it is chemically inert and has a relatively uncomplicated IR spectrum, with major peaks between 2950-2800, 1465-1450, and 1380-1370 cm-1....
) in a marble
Marble

Marble is a nonfoliated metamorphic rock resulting from the metamorphism of limestone, composed mostly of calcite . It is extensively used for Marble sculpture, as a architecture material, and in many other applications....
 or agate
Agate

Agate is a microcrystalline variety of quartz , chiefly chalcedony, characterised by its fineness of grain and brightness of color. Although agates may be found in various kinds of rock, they are classically associated with volcanic rocks but can be common in certain metamorphic rocks....
 mortar, with a pestle. A thin film of the mull is applied onto salt plates and measured.

The second method is to grind a quantity of the sample with a specially purified salt (usually potassium bromide
Potassium bromide

Potassium bromide is a salt , widely used as an anticonvulsant and a sedative in the late 19th and early 20th centuries. Its action is due to the bromide ion ....
) finely (to remove scattering effects from large crystals). This powder mixture is then crushed in a mechanical die press to form a translucent pellet through which the beam of the spectrometer can pass.

The third technique is the Cast Film technique, which is used mainly for polymeric materials. The sample is first dissolved in a suitable, non hygroscopic solvent. A drop of this solution is deposited on surface of KBr or NaCl cell. The solution is then evaporated to dryness and the film formed on the cell is analysed directly. Care is important to ensure that the film is not too thick otherwise light cannot pass through. This technique is suitable for qualitative analysis.

The final method is to use microtomy to cut a thin (20-100 micrometre
Micrometre

A micrometre or micron is one Micro- of a metre, or equivalently one thousandth of a millimetre. It is also commonly known as a micron....
) film from a solid sample. This is one of the most important ways of analysing failed plastic products for example because the integrity of the solid is preserved.

It is important to note that spectra obtained from different sample preparation methods will look slightly different from each other due to differences in the samples' physical states.

Typical method

Ir Spectroscopy Apparatus
A beam of infrared light is produced and split into two separate beams. One is passed through the sample, the other passed through a reference which is often the substance the sample is dissolved in. The beams are both reflected back towards a detector, however first they pass through a splitter which quickly alternates which of the two beams enters the detector. The two signals are then compared and a printout is obtained.

A reference is used for two reasons:
  • This prevents fluctuations in the output of the source affecting the data


  • This allows the effects of the solvent to be cancelled out (the reference is usually a pure form of the solvent the sample is in)


Summary of absorptions of bonds in organic molecules


Ir Summary Version 2
Wavenumbers listed in cm-1
Wavenumber

Wavenumber in most physics sciences is a wave property inverse related to wavelength, having SI units of reciprocal metre . Wavenumber is the space analog of frequency, that is, it is the measurement of the number of repeating units of a propagating wave per unit of space....
.

Uses and applications


Infrared spectroscopy is widely used in both research and industry as a simple and reliable technique for measurement, quality control and dynamic measurement. It is of especial use in forensic analysis in both criminal and civil cases, enabling identification of polymer degradation
Polymer degradation

Polymer degradation is a change in the properties - tensile strength, colour, shape, etc - of a polymer or polymer based product under the influence of one or more environmental factors such as heat, light or chemicals....
 for example. It is perhaps the most widely used method of applied spectroscopy
Applied spectroscopy

Applied spectroscopy is the application of various spectroscopy methods for detection and identification of different chemical elements/compounds in solving problems in the fields of forensics, medicine, oil industry, atmospheric chemistry, pharmacology, etc....
.

The instruments are now small, and can be transported, even for use in field trials. With increasing technology in computer filtering and manipulation of the results, samples in solution can now be measured accurately (water produces a broad absorbance across the range of interest, and thus renders the spectra unreadable without this computer treatment). Some instruments will also automatically tell you what substance is being measured from a store of thousands of reference spectra held in storage.

By measuring at a specific frequency over time, changes in the character or quantity of a particular bond can be measured. This is especially useful in measuring the degree of polymerization in polymer
Polymer

A polymer is a large molecule composed of repeating structural units typically connected by covalent chemical bonds. While polymer in popular usage suggests plastic, the term actually refers to a large class of natural and synthetic materials with a variety of properties....
 manufacture. Modern research instruments can take infrared measurements across the whole range of interest as frequently as 32 times a second. This can be done whilst simultaneous measurements are made using other techniques. This makes the observations of chemical reactions and processes quicker and more accurate.

Techniques have been developed to assess the quality of tea-leaves using infrared spectroscopy. This will mean that highly trained experts (also called 'noses') can be used more sparingly, at a significant cost saving.

Infrared spectroscopy has been highly successful for applications in both organic and inorganic chemistry. Infrared spectroscopy has also been successfully utilized in the field of semiconductor microelectronics: for example, infrared spectroscopy can be applied to semiconductors like silicon
Silicon

Silicon is the most common metalloid. It is a chemical element, which has the symbol Si and atomic number 14. The atomic mass is 28.0855....
, gallium arsenide, gallium nitride, zinc selenide
Zinc selenide

Zinc selenide , is a light yellow binary solid compound. It is an intrinsic semiconductor with a band gap of about 2.7 Electron volts at 25 ?C....
, amorphous silicon, silicon nitride
Silicon nitride

Silicon nitride is a hard, solid substance. It is the main component in silicon nitride ceramics, which have good shock resistance and other mechanical and thermal properties as compared to other ceramics....
, etc.

Isotope effects

The different isotopes in a particular species may give fine detail in infrared spectroscopy. For example, the O-O stretching frequency of oxyhemocyanin
Hemocyanin

Hemocyanins are respiratory proteins in the form of metalloproteins containing two copper atoms that reversibly bind a single oxygen molecule ....
 is experimentally determined to be 832 and 788 cm-1 for ?(16O-16O) and ?(18O-18O) respectively.

By considering the O-O as a spring, the wavelength of absorbance, ? can be calculated:

where k is the spring constant for the bond, and µ is the reduced mass
Reduced mass

Reduced mass is the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. This is a quantity with the Units_of_measurement of mass, which allows the two-body problem to be solved as if it were a one-body problem....
 of the A-B system:

( is the mass of atom ).

The reduced masses for 16O-16O and 18O-18O can be approximated as 8 and 9 respectively. Thus

Fourier transform infrared spectroscopy

Fourier transform infrared (FTIR) spectroscopy is a measurement technique for collecting infrared spectra. Instead of recording the amount of energy absorbed when the frequency of the infra-red light is varied (monochromator), the IR light is guided through an interferometer. After passing through the sample, the measured signal is the interferogram. Performing a mathematical Fourier transform
Fourier transform

In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions....
 on this signal results in a spectrum identical to that from conventional (dispersive) infrared spectroscopy.

FTIR spectrometers are cheaper than conventional spectrometers because building of interferometers is easier than the fabrication of a monochromator. In addition, measurement of a single spectrum is faster for the FTIR technique because the information at all frequencies is collected simultaneously. This allows multiple samples to be collected and averaged together resulting in an improvement in sensitivity. Because of its various advantages, virtually all modern infrared spectrometers are FTIR instruments.

Two-dimensional infrared spectroscopy

Two-dimensional infrared correlation spectroscopy analysis is the application of 2D correlation analysis on infrared spectra. By extending the spectral information of a perturbed sample, spectral analysis is simplified and resolution is enhanced. The 2D synchronous and 2D asynchronous spectra represent a graphical overview of the spectral changes due to a perturbation (such as a changing concentration or changing temperature) as well as the relationship between the spectral changes at two different wavenumbers.

Nonlinear two-dimensional infrared spectroscopy is the infrared version of correlation spectroscopy
Correlation spectroscopy

Correlation spectroscopy is one of several types of two-dimensional nuclear magnetic resonance spectroscopy. Other types of two-dimensional NMR include J-spectroscopy, exchange spectroscopy , and Nuclear Overhauser effect spectroscopy ....
. Nonlinear two-dimensional infrared spectroscopy is a technique that has become available with the development of femtosecond infrared laser pulses. In this experiment first a set of pump pulses are applied to the sample. This is followed by a waiting time, where the system is allowed to relax. The waiting time typically lasts from zero to several picoseconds and the duration can be controlled with a resolution of tens of femtoseconds. A probe pulse is then applied resulting in the emission of a signal from the sample. The nonlinear two-dimensional infrared spectrum is a two-dimensional correlation plot of the frequency that was excited by the initial pump pulses and the frequency excited by the probe pulse after the waiting time. This allows the observation of coupling between different vibrational modes. Because of its extremely high time resolution it can be used to monitor molecular dynamics on a picosecond timescale. It is still a largely unexplored technique and is becoming increasingly popular for fundamental research.

Like in two-dimensional nuclear magnetic resonance (2DNMR) spectroscopy this technique spreads the spectrum in two dimensions and allow for the observation of cross peaks that contain information on the coupling between different modes. In contrast to 2DNMR nonlinear two-dimensional infrared spectroscopy also involve the excitation to overtones. These excitations result in excited state absorption peaks located below the diagonal and cross peaks. In 2DNMR two distinct techniques, COSY
Correlation spectroscopy

Correlation spectroscopy is one of several types of two-dimensional nuclear magnetic resonance spectroscopy. Other types of two-dimensional NMR include J-spectroscopy, exchange spectroscopy , and Nuclear Overhauser effect spectroscopy ....
 and NOESY
Correlation spectroscopy

Correlation spectroscopy is one of several types of two-dimensional nuclear magnetic resonance spectroscopy. Other types of two-dimensional NMR include J-spectroscopy, exchange spectroscopy , and Nuclear Overhauser effect spectroscopy ....
, are frequently used. The cross peaks in the first are related to the scalar coupling, while in the later they are related to the spin transfer between different nuclei. In nonlinear two-dimensional infrared spectroscopy analogs have been drawn to these 2DNMR techniques. Nonlinear two-dimensional infrared spectroscopy with zero waiting time corresponds to COSY and nonlinear two-dimensional infrared spectroscopy with finite waiting time allowing vibrational population transfer corresponds to NOESY. The COSY variant of nonlinear two-dimensional infrared spectroscopy has been used for determination of the secondary structure content proteins.

See also

  • Infrared spectroscopy correlation table
    Infrared spectroscopy correlation table

    In physical chemistry and analytical chemistry, infrared spectroscopy is a technique used to identify chemical compounds based on how infrared is absorbed by the compounds' chemical bonds....
  • Fourier transform spectroscopy
    Fourier transform spectroscopy

    Fourier transform spectroscopy is a measurement technique whereby spectra are collected based on measurements of the time coherence of a radiate source, using time-domain measurements of the electromagnetic radiation or other type of radiation....
  • Near infrared spectroscopy
    Near infrared spectroscopy

    Near infrared spectroscopy is a spectroscopic method which uses the near infrared region of the electromagnetic spectrum . Typical applications include pharmaceutical, medical diagnostics , food and agrochemical quality control, as well as combustion research....
  • Vibrational spectroscopy
  • Rotational spectroscopy
    Rotational spectroscopy

    Rotational spectroscopy or microwave spectroscopy studies the Absorption and Emission electromagnetic radiation by molecules associated with a corresponding change in the Rigid rotor#Quantum mechanical rigid rotor quantum number of the molecule....
  • Time-resolved spectroscopy
    Time-resolved spectroscopy

    In physics and physical chemistry, time-resolved spectroscopy is the study of dynamic processes in materials or chemical compounds by means of spectroscopy techniques....
  • Spectroscopy
    Spectroscopy

    Spectroscopy was originally the study of the interaction between radiation and matter as a function of wavelength . In fact, historically, spectroscopy referred to the use of visible light dispersed according to its wavelength, e.g....
  • Quantum vibration
    Quantum vibration

    A quantum vibration is a vibration of a chemical bond in a molecule that must be treated quantum mechanically. The low-lying vibration energy states can be described as states of the quantum harmonic oscillator, and at higher vibrational states, near the Dissociation limit, as Morse potentials....
  • Raman spectroscopy
    Raman spectroscopy

    Raman spectroscopy is a Spectroscopy technique used in condensed matter physics and chemistry to study vibrational, rotational, and other low-frequency modes in a system....
  • Infrared microscopy
    Microscopy

    Microscopy is the technical field of using microscopes to view samples or objects. There are three well-known branches of microscopy, optical microscopy, electron microscopy and scanning probe microscopy....
  • Photothermal microspectroscopy
    Photothermal microspectroscopy

    Photothermal Micro-Spectroscopy , alternatively known as PTTF , is derived from two parent instrumental techniques: infrared spectroscopy and atomic force microscopy ....
  • Polymer degradation
    Polymer degradation

    Polymer degradation is a change in the properties - tensile strength, colour, shape, etc - of a polymer or polymer based product under the influence of one or more environmental factors such as heat, light or chemicals....
  • Infrared astronomy
    Infrared astronomy

    Infrared astronomy is the branch of astronomy and astrophysics which deals with objects visible in infrared radiation. Visible radiation ranges from 400 nanometre to 700 nm ....
  • Far infrared astronomy
    Far infrared astronomy

    Far infrared astronomy is the branch of astronomy and astrophysics which deals with objects visible in far-infrared radiation .In the far-infrared, stars are not especially bright, but we can see emission from very cold matter which is not seen at shorter wavelengths....
  • Forensic chemistry
    Forensic chemistry

    Forensic chemistry is the Applied science of chemistry to law enforcement or the failure of products or processes. Many different analytical methods may be used to reveal what chemical changes occurred during an incident, and so help reconstruct the sequence of events....
  • Forensic engineering
    Forensic engineering

    Forensics engineering is the investigation of material science, product , structures or components that fail or do not operate/function as intended, causing personal injury or damage to property....
  • Forensic polymer engineering
    Forensic polymer engineering

    The study of failure in polymeric products is called forensic polymer engineering. The topic includes the fracture of plastic products, or any other reason why such a product fails in service, or fails to meet its specification....
  • Forensic science
  • Applied spectroscopy
    Applied spectroscopy

    Applied spectroscopy is the application of various spectroscopy methods for detection and identification of different chemical elements/compounds in solving problems in the fields of forensics, medicine, oil industry, atmospheric chemistry, pharmacology, etc....


External links

  • A useful gif animation of different vibrational modes: