Nondipole light scattering by partially oriented ensembles. III. The Müller pattern for achiral macromolecules

Tian, Duan; McClain, William Martin

doi:10.1063/1.456779

Cited by 11 publications

(6 citation statements)

References 7 publications

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“…If the molecular ensemble is isotropic and non-chiral then all linear terms in g 1 also vanish according to equation (14). The matrix (17) reduces to…”

Section: Symmetries Of the Mueller Matrixmentioning

confidence: 99%

“…In equation (17) the elements in the second and third quadrants of the Mueller matrix are different from zero because of the chirality of the molecules, in equation (19) these elements differ from zero because of the orientation of the molecules. There are differences between both cases.…”

Section: Symmetries Of the Mueller Matrixmentioning

confidence: 99%

“…Polarization vectors of incident and scattered projectiles are related by the elements of the Mueller matrix. Using a special coordinate system the relevant expressions are completely analogous to the optical case as derived for example by Tian and Mc Clain [16,17] for the scattering of polarized light. We will introduce this matrix in section 2.2.…”

Section: Introductionmentioning

confidence: 98%

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Scattering of polarized electrons from anisotropic chiral ensembles

Musigmann

Blum

Thompson

2001

J. Phys. B: At. Mol. Opt. Phys.

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A theory is developed to describe chiral effects in collision between arbitrarily polarized electrons and cylindrically symmetric oriented samples of chiral molecules. The chiral effects, generated in such collisions, depend not only on the structure of the molecule but also on their orientation. By deriving a set of symmetry rules it is shown how 'structural' and 'orientational' contributions can be disentangled. Of crucial importance is the time-reversibility of the collision. The information obtained from the experiments is conveniently expressed in terms of Mueller matrix elements similar to optics. As a case study numerical calculations have been performed for elastic collisions with H 2 S 2 . The full set of Mueller matrix elements is calculated for various orientations of the molecules. The numerical results confirm and illustrate the general theory.

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“…If the molecular ensemble is isotropic and non-chiral then all linear terms in g 1 also vanish according to equation (14). The matrix (17) reduces to…”

Section: Symmetries Of the Mueller Matrixmentioning

confidence: 99%

Section: Symmetries Of the Mueller Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

Scattering of polarized electrons from anisotropic chiral ensembles

Musigmann

Blum

Thompson

2001

J. Phys. B: At. Mol. Opt. Phys.

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“…In the exact case, where no approximations on the internal electric field are made, the ith induced dipole moment pi may be written (6) N ,,j= ' A,j (i1' E0eill --) E . ) (8) jl1…”

Section: Fields In Higher Born Approximationsmentioning

confidence: 99%

Differential polarization imaging. IV. Images in higher Born approximations

Kim

Bustamante

1991

Biophysical Journal

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The theory of differential polarization imaging developed previously within the framework of the first Born approximation is extended to higher Born approximations, taking into account interactions among the polarizable groups in the object. Several properties of differential polarization images, originally described using first Born approximation are modified when higher Born approximations are used. In particular, (a) when the polarizable groups are spherically symmetric, the off-diagonal Mueller elements Mij (i not equal to j) in bright field do not vanish in higher Born approximations, as they do in the first Born approximation case. (b) In higher Born approximations, the dark field Mi4 and M4i (i = 1, 2, 3) images do not vanish as in the first Born approximation, due to the anisotropy induced by the interactions among the groups. (c) When the polarizability tensor of each group is symmetric and real, the bright field M14 and M41 images always vanish in the first Born approximation. In higher Born approximations, these terms do not vanish if the groups bear a chiral relationship to each other. Quantitative criteria for the validity of the first Born approximation in differential polarization imaging are explicitly derived for three different types of media: (a) linearly anisotropic, (b) circularly anisotropic, and (c) linearly and circularly anisotropic (medium displaying linear birefringence and circular birefringence). These criteria define the limits of thickness and the degree of anisotropy of optically thin media. Finally, the possibility to perform optical sectioning in differential polarization imaging in the presence and absence of group interactions is discussed.

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“…Tian and McClain have additionally improved the molecular model by taking into account the mutual interaction among the molecular subunits (point polarizabilities) (Tian and McClain, 1989a). In one of their papers Tian and McClain (1989b) have used a so-called "pseudo-tetrahedral model," i.e., four spheres located at the vertices of a tetrahedra, "intended to resemble, in size and total polarizability (but not in shape and symmetry) a particle rather like a picornavirus, responsible for polio, AIDS, and the common cold." Starting from the polarizabilities of a single sphere they have calculated the actual polarizabilities of each sphere due to mutual interactions and then found the total scattered field.…”

Section: Introductionmentioning

confidence: 99%

Calculation of Protein Form Birefringence Using the Finite Element Method

Pantic-Tanner¹,

Eden

1999

Biophysical Journal

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An approach based on the finite element method (FEM) is employed to calculate the optical properties of macromolecules, specifically form birefringence. Macromolecules are treated as arbitrarily shaped particles suspended in a solvent of refraction index n1. The form birefringence of the solution is calculated as the difference in its refractive index when all the particles of refractive index n2 are either parallel to or normal to the direction of the polarization of light. Since the particles of interest are small compared to the wavelength of light, a quasi-static approximation for the refractive index is used, i.e., that it is equal to the square root of the dielectric constant of the suspension. The average dielectric constant of the mixture is calculated using the finite element method. This approach has been tested for ellipsoidal particles and a good agreement with theoretical results has been obtained. Also, numerical results for the motor domains of ncd and kinesin, small arbitrarily shaped proteins with known x-ray structures, show reasonable agreement with the experimental data obtained from transient electric birefringence experiments.

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Nondipole light scattering by partially oriented ensembles. III. The Müller pattern for achiral macromolecules

Cited by 11 publications

References 7 publications

Scattering of polarized electrons from anisotropic chiral ensembles

Scattering of polarized electrons from anisotropic chiral ensembles

Differential polarization imaging. IV. Images in higher Born approximations

Calculation of Protein Form Birefringence Using the Finite Element Method

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