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The science of measuring the change in polarization orientation at a single wavelength is called polarimetry, and the measuring instrument is called a polarimeter. The measurement of the change in polarization angle over a range of wavelengths is known as optical rotatory dispersion (ORD). These measurements are useful for studying the structure of anisotropic (directionally dependent) materials and for checking the purity of chiral mixtures. A sample containing an equimolar mixture of enantiomers is called a racemate and a sample that contains only one enantiomer of a chiral molecule is said to be optically pure. The enantiomeric ratio, abbreviated as ee%, is defined as the percentage of one enantiomer in a mixture to that of the opposite enantiomer. The enantiomer that rotates light to the left, or counterclockwise when viewing in the direction of light propagation, is called the levorotatory or (−) enantiomer, and the enantiomer that rotates light to the right, or clockwise, is called the dextrorotatory or (+) enantiomer. Other enatiomer nomenclatures such as D, L and R, S are structural descriptions. As a result they are not necessarily indicative of absolute optical activity.

The phenomenon of optical rotation occurs because optically active samples have different refractive indices for left- and right-circularly polarized light. Restated, the left- and right-circularly polarized light travel through an optically active sample at different velocities. This condition occurs because a chiral center has a specific geometric arrangement of four different substituents, each of which has a different electronic polarizability. Interactions occur between the light traveling through the medium and the electron clouds that are present. Left-circularly polarized light therefore interacts with an anisotropic medium differently than does right-circularly polarized light.

Linearly or plane-polarized light can be represented as the superposition of equal intensities of left- and right-circularly polarized light. As plane-polarized light travels through an optically active sample, the left- and right-circularly polarized components travel at different velocities. This difference in velocities creates a phase shift between the two circularly polarized components when they exit the sample. The summation of the two components still produces linearly polarized light but at a different orientation from the light entering the sample. This change in orientation, expressed as an angle deviation from the input polarization state, is known as optical rotation. When an absorption band is in electronic contact with the chiral center, a differential absorption of the circularly polarized light components occurs. Now when the two components are summed, elliptically polarized light is produced, and the major axis is rotated compared to the starting orientation. This phenomenon is known as circular dichroism (CD).

Magnetically induced optical rotation occurs in many solids, liquids, and gases. This rotation, called the Faraday effect or Magneto-Optic Effect was discovered by Michael Faraday in 1845, was the first experimental evidence that light and magnetism are related. This effect occurs in most optically transparent dielectric materials when they are subject to strong magnetic fields. The magnitude of the optical rotation depends upon the strength of the magnetic field, the temperature, the frequency of the light, the observed path length, and Verdet's constant, which is an intrinsic property of the transmitting substance. By convention, a positive Verdet constant is the material property corresponding to a L-rotatory (anticlockwise) Faraday rotation when the direction of propagation is parallel to the magnetic field and a R-rotatory (clockwise) Faraday rotation when the direction of propagation is anti-parallel to the magnetic field. Therefore the rotation direction is the same even when the light propagation direction is reversed. So if a ray of linearly polarized light is passed through a material along the axis of an applied magnetic field and reflected back along the same path, the rotation doubles. In contrast, if a ray of linearly polarized light is passed through a material with natural optical activity and reflected back along the same path, the rotations cancel and the net rotation is zero.

The optical interaction between a sample's natural optical and induced optical activity lies at the heart of the MOPED technology. Utilizing these two intrinsic properties of all chiral molecules allows not only more sensitive detection of the optical activity but also yield far more information than previous techniques. In particular the ability to ratio an optical signature to a concentration-dependent signature simultaneously allows a direct measure of the enantiomeric ratio in a sample. Circular dichroism methods are able to measure a similar ratio correlated to the enantiomeric excess of a sample known as the g-factor. This technique involves the simultaneous monitoring of the CD signal (Δε), the absorption (ε), and their ratio called the dissymmetric or anisotropy factor (g = Δ ε/ε) of a sample at a fixed wavelength. However, in contrast to the g-factor, the signals utilized in MOPED do not depend on the presence of an absorptive center. In this sense the MOPED ratio correlated to enantiomeric excess is more closely compared to the less well known e-factor. The enantiomeric "e-factor" is defined as optical rotation per refractive index unit and is independent of concentration and linearly related to the percent enantiomeric excess. The MOPED technology can detect an optical signature and a concentration signature of a sample more sensitively than existing techniques for optical rotation or refractive index detection. Therefore, the e-factor as defined by optical rotation per Verdet unit as utilized in MOPED is a more sensitive technique to assay enantiomeric purity. In addition to greater sensitivity over e-factor or g-factor analysis, the MOPED technique is more universal than the g-factor analysis since an absorptive center is not required. Indeed, sensitive concentration information on molecules, both chiral and achiral, lacking absorptive centers is another useful feature of MOPED analysis.

 

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