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    Circular Dichroism

    Part I. Introduction

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    Circular Dichroism

    Circular dichroism (CD) spectroscopy measures differences

    in the absorption of left-handed polarized light versus right-

    handed polarized light which arise due to structuralasymmetry. The absence of regular structure results in zero

    CD intensity, while an ordered structure results in a

    spectrum which can contain both positive and negative

    signals.

    Jasco J-810 Circular Dichroism System

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    Chiral structure can be distinguished and

    characterized by polarized light

    Optical rotation: the rotation of linearly polarized light by

    the sampleOptical rotary dispersion: the variation of opticalrotation as a function of wavelength. The spectrum of opticalrotation.

    Circular Dichroism: the difference in absorption of leftand right circularly light.

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    Types of polarized light

    Plane polarized light consists two circularlypolarized components of equal intensity

    Two circularly polarized components are like left-and right-handed springs

    As observed by looking at the source, right-handed circularly polarized light rotates clockwise

    Frequency of rotation is related to the frequency ofthe light

    Can be resolved into its two circularly polarizedcomponents

    When added together after passing through anoptically isotropic medium, plane polarized light

    results

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    Polarized Light

    Linear Polarized Light

    0,

    2sin2sin),( 00

    tzE

    ctzEtczEtzE

    y

    x

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    Passing plane polarized light through a

    birefringent plate (in the z-direction)

    which splits the light into two plane-polarized beams oscillating along different

    axes (e.g., fast along x and slow along y).

    When one of the beams is retarded by 90

    (using a quarter-wave retarder) then the

    two beams which are now 90 out of phase

    are added together, the result is circularly

    polarized light of one direction. By

    inverting the two axes such that the

    alternate beam is retarded than circularly

    polarized light of the other direction is

    generated.

    The result of adding the right and left

    circularly polarized that passes through the

    optically active sample is elliptically

    polarized light, thus circular dichroism is

    equivalent to ellipticity

    Circular Polarized Light

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    Polarized Light

    Circularly Polarized Light

    4

    12sin,

    2sin,

    0

    0

    ctzEtzE

    ctzEtzE

    y

    x

    4

    12sin,

    2sin,

    0

    0

    ctzEtzE

    ctzEtzE

    y

    x

    Left-handed right-handed

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    Optical rotary dispersion

    If the refractive indices of the sample for the leftand right handed polarized light are different,when the components are recombined, the plane-polarized radiation will be rotated through anangle

    nl, nr are the indices of the refraction for left-handed and right-handed polarized light

    is in radians per unit length (from )

    nn

    rl

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    Optical Rotation

    RL nn

    1-cmradrotation

    nrefractive index

    wavelength of light

    angle of rotation

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    Optical Rotation

    Usually reported as a specific rotation [],

    measured at a particular T, concentration and

    (normally 589; the Na D line) Molar rotation [] = []MW10-2

    mL100

    gc

    decimetersinpathlengthlc

    10

    2

    l

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    Optical rotary dispersion

    d'c'

    Concentration of an optically active substance, c, expressed in g cm-1

    (as density of a pure substance)

    d = thickness of the sample in decimeters

    ''

    1010

    22

    dc

    MMM

    M= molecular weight of the optically active component

    the 10-2 factor is subject to convention and is not always included in [M]

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    Optical rotary dispersion

    ''

    1010

    22

    dc

    MMM

    M= molecular weight of the optically active

    component

    n. b. the 10-2 factor is subject to convention

    and is not always included in [M]

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    Optical rotary dispersion

    ORD curve is a plot of molar rotation [] or [M] vs Clockwise rotation is plotted positively;

    counterclockwise rotation is plotted negatively ORD is based solely on the index of refraction

    So-called plain curve is the ORD for a chiral

    compound that lacks a chromophore

    Chiral compounds containing a chromophore can give

    anomalous, or Cotton effect, curves

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    Cotton Effect

    Positive Cotton effect is wherethe peak is at a higher

    wavelength than the trough

    Negative Cotton effect is the

    oppositeOptically pure enantiomers

    always display opposite Cotton

    effect ORD curves of identical

    magnitudeZero crossover point between

    the peak and the trough closely

    corresponds to the normal UV

    max

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    Circular Polarized Light

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    Circular Polarized Light

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    Circular dichroism Measurement of how an optically active compound

    absorbs right- and left-handed circularly polarized light

    All optically active compounds ex-hibit CD in the regionof the appropriate absorption band

    CD is plotted as l-r vs For CD, the resulting transmitted radiation is not plane-

    polarized but elliptically polarized

    kd

    o

    rlr

    IIk

    c

    kk

    10from

    dichroismcircularmolar l

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    l

    AARL

    4

    303.2cmrad

    1-

    ellipticity

    l path length through the sample

    A absorption

    Circular Dichroism

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    Circular dichroism is therefore the angle between the initial plane of polarization

    and the major axis of the ellipse of the resultant transmitted light A quantity is defined such that

    tan is the ratio of the major and minor axis of the ellipse of thetransmitted light

    approximates the ellipticity

    When expressed in degrees, can be converted to a specificellipticity [] or a molar ellipticity []

    CD is usually plotted as []

    100.3032

    10yellipticitmolar

    dc'yellipticitspecific

    3

    rl

    2

    M

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    Linear polarized light can be

    viewed as a superposition of

    opposite circular polarized

    light of equal amplitude and

    phase

    different absorption of the left-

    and right hand polarized

    component leads to ellipticity

    (CD) and optical rotation (OR).

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    Thedifference between the absorption ofleft and righthanded circularly-polarised light and is measured as a

    function of wavelength. CD is measured as a quantity

    called mean residue ellipticity, whose units are

    degrees-cm2/dmol.

    Circular Dichroism

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    ORD and CD

    CD plots are Gaussian rather than S-shaped.

    Positive or negative deflections depend on the sign of or [] and corresponds to the sign of the Cotton

    effect

    ORD spectra are dispersive (called a Cotton effectfor asingle band) whereas circular dichroism spectra areabsorptive. The two phenomena are related by the so-called Knig-Kramers transforms.

    Maximum of the CD occurs at the absorption max Where more than one overlapping Cotton effect, the CD

    may be easier to interpret than the ORD withoverlapping S-shaped bands

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    ORD spectra are dispersive (called a Cotton effectfor asingle band) whereas circular dichroism spectra areabsorptive. The two phenomena are related by the so-calledKnig-Kramers transforms.

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    Sample Preparation

    Additives, buffers and stabilizing compounds:

    Any compound which absorbs in the region of

    interest (250 - 190 nm) should be avoided. A buffer or detergent or other chemical should

    not be used unless it can be shown that the

    compound in question will not mask the proteinsignal.

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    Sample Preparation

    Protein solution: From the above follows that the

    protein solution should contain only those

    chemicals necessary to maintain protein stability,and at the lowest concentrations possible.Avoidany chemical that is unnecessary for protein

    stability/solubility. The protein itself should be as

    pure as possible, any additional protein or peptidewill contribute to the CD signal.

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    Sample Preparation

    Contaminants: Unfolded protein, peptides,particulate matter (scattering particles), anythingthat adds significant noise (or artifical signal

    contributions) to the CD spectrum must beavoided. Filtering of the solutions (0.02 umsyringe filters) may improve signal to noise ratio.

    Data collection: Initial experiments are useful toestablish the best conditions for the "real"experiment. Cells of 0.5 mm path length offer agood starting point.

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    Typical Initial Concentrations

    Protein Concentration: 0.5 mg/ml

    Cell Path Length: 0.5 mm

    Stabilizers (Metal ions, etc.): minimum

    Buffer Concentration : 5 mM or as low aspossible while maintaining protein stability