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    Introduction to InfraredSpectroscopy

    Chapter 16Instrumental Analysis

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    Definition of Infrared

    Spectroscopy The absorption of light, as it passes through a

    medium, varies linearly with the distance the light

    travels and with concentration of the absorbingmedium. Where a is the absorbance, the Greeklower-case letter epsilon is a characteristic constantfor each material at a given wavelength (known as

    the extinction coefficient or absorption coefficient),c is concentration, and l is the length of the light

    path, the absorption of light may be expressed bythe simple equation a= epsilon times c times l.

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    Infrared Spectroscopy

    Infrared spectroscopy is the measurement of the wavelength

    and intensity of the absorption of mid-infrared light by a

    sample. Mid-infrared is energetic enough to excitemolecular vibrations to higher energy levels.

    The wavelength of infrared absorption bands is

    characteristic of specific types of chemical bonds, and

    infrared spectroscopy finds its greatest utility foridentification of organic and organometallic molecules. The

    high selectivity of the method makes the estimation of an

    analyte in a complex matrix possible.

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    Example of IR

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    Theory of Infrared Absorption

    Spectroscopy For a molecule to absorb IR, the vibrations or rotations

    within a molecule must cause a net change in the dipole

    moment of the molecule. The alternating electrical field ofthe radiation (remember that electromagnetic radiation

    consists of an oscillating electrical field and an oscillating

    magnetic field, perpendicular to each other) interacts with

    fluctuations in the dipole moment of the molecule.

    If the frequency of the radiation matches the vibrational

    frequency of the molecule then radiation will be absorbed,

    causing a change in the amplitude of molecular vibration.

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    Molecular Rotations

    Rotational transitions are of little use to the

    spectroscopist. Rotational levels arequantized, and absorption of IR by gases

    yields line spectra.

    However, in liquids or solids, these lines

    broaden into a continuum due to molecular

    collisions and other interactions.

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    Molecular Rotations (cont)

    ,

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    Vibrational-Rotational

    Transitions In general, a molecule which is an excited vibrational state

    will have rotational energy and can lose energy in a

    transition which alters both the vibrational and rotationalenergy content of the molecule.

    The total energy content of the molecule is given by the sumof the vibrational and rotational energies. For a molecule ina specific vibrational and rotational state, denoted by the

    pair of quantum numbers (v, J), we can write its energy as:E(v, J)=Evib(v) + Erot(J)

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    Transitions (cont)

    The energies of these three transitions form a verydistinctive pattern. If we consider the lower

    vibrational state to be the initial state, then we canlabel the absorption lines as follows.

    Transitions for which the Jquantum numberdecreases by 1 are called P-branch transitions,

    those which increase by 1 are called R-branchtransitionsand those which are unchanged arecalled Q-branch transitions.

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    Molecular Vibrations

    In order to predict equilibrium stable-isotope fractionations, it isnecessary to know the characteristic frequencies of molecularvibrations. It is also necessary to know how much each vibrational

    frequency in a molecule changes when a heavy isotope is substituted fora light one. Vibrational frequencies for isotopically substitutedmolecules are not always known, so it is often necessary to use sometype of force-field model to predict them.

    Molecular vibrations are also important in understanding infraredabsorption and the mechanisms and kinetics of chemicalreactions. Frequencies are most commonly measured with infrared orRaman spectroscopy. Rotational-vibrational spectroscopy, isotopesubstitution, and many forms of force-field modeling are used todetermine characteristic atomic motions.

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    Vibrational Motion

    Subdivided into so-called normal modes ofvibration which rapidly increase with the number of

    atoms in the molecule. Each of these normalvibrational modes contributes RT to the averagemolar energy of the substance and is a primaryreason why heat capacities increase with molecular

    complexity. If there are Xvibmodes of vibration, then the

    vibrational energy contributes Xvib(RT) to theaverage molar energy of the substance.

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    Stretching and Bending

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    Stretching Vibrations

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    Bending Vibrations

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    Quantum Treatment of

    Vibrations Transitions in vibrational energy levels can be

    brought about by absorption of radiation, provided

    the energy of the radiation exactly matches thedifference in energy levels between the vibrational

    quantum states and provided also that the vibration

    causes a fluctuation in dipole.

    Infrared measurements permit the evaluation of the

    force constants for various types of chemical bonds.

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    Infrared Instruments

    An infrared spectrophotometer is an instrument that passesinfrared light through an organic molecule and produces a

    spectrum that contains a plot of the amount of lighttransmitted on the vertical axis against the wavelength ofinfrared radiation on the horizontal axis. In infrared spectrathe absorption peaks point downward because the verticalaxis is the percentage transmittance of the radiation through

    the sample. Absorption of radiation lowers the percentage transmittance

    value. Since all bonds in an organic molecule interact withinfrared radiation, IR spectra provide a considerable amountof structural data.

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    Infrared Instruments

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    References

    http://www.acs.org

    http://www.cas.org

    http://www.chemcenter/org

    http://www.sciencemag.org

    http://www.shu.ac.uk/schools/sci/chem/tutorials/molspec/irspec/.htm

    http://www.kerouac.pharm.uky.edu/asrg/wave/wavehp.html

    http://hiq.linde-gas.com/international/web/lg/spg/likelgspg.nsf/DocByAlias/anal_infra

    http://www.acs.org/http://www.sciencemag.org/http://www.kerouac.pharm.uky.edu/asrg/wave/wavehp.htmlhttp://hiq.linde-gas.com/international/web/lg/spg/likelgspg.nsf/DocByAlias/anal_infrahttp://hiq.linde-gas.com/international/web/lg/spg/likelgspg.nsf/DocByAlias/anal_infrahttp://hiq.linde-gas.com/international/web/lg/spg/likelgspg.nsf/DocByAlias/anal_infrahttp://hiq.linde-gas.com/international/web/lg/spg/likelgspg.nsf/DocByAlias/anal_infrahttp://hiq.linde-gas.com/international/web/lg/spg/likelgspg.nsf/DocByAlias/anal_infrahttp://www.kerouac.pharm.uky.edu/asrg/wave/wavehp.htmlhttp://www.sciencemag.org/http://www.acs.org/