An alternative method of dispersion relations derivation in the crystalline optical activity in the direction perpendicular to the optic axis

Vyšín, Ivo; Řı́ha, Jan; Vavříková, Hana

doi:10.1016/j.ijleo.2006.03.033

Cited by 4 publications

(2 citation statements)

References 19 publications

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“…In the model of three coupled oscillators, the number of single oscillators in the volume unit is N = 2N , where N is the number of compound oscillators in the volume unit [19]. Let us note that the same result can also be derived using the modified Rosenfeld relation [20] with direct calculation of the rotational strengths of the normal modes of vibration [21].…”

Section: Calculationsmentioning

confidence: 72%

Note on the solutions of the model of coupled oscillators in crystalline optical activity for the direction perpendicular to the optic axis

Vyšín

Baránek

Řı́ha

2011

J. Opt.

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In the past, Chandrasekhar’s method of two coupled oscillators was successfully used for the interpretation of crystalline optical activity. The optical activity dispersion relations were obtained in the direction of the optic axis and also in the direction perpendicular to the optic axis. However, Chandrasekhar’s approach to the solution method is based on a mistake in his calculations. This mistake does not influence the character of the dispersion relations in the direction of the optic axis, which was proved by the solution of the model of coupled oscillators using the Condon relations. Similar conclusions have not been introduced for the direction perpendicular to the optic axis. For that reason, the model of coupled oscillators, using the Condon relations, is presented also for the direction perpendicular to the optic axis. The considered model of coupled oscillators is more complicated and therefore corresponds to the structure of real crystals more closely. It can be proved that, in spite of Chandrasekhar’s mistake in the calculations, his conclusions hold. The character of the dispersion relations in the directions parallel and perpendicular to the optic axis is the same and differs only by a constant multiplicative factor. However, Chandrasekhar’s factor differs from the derived form of this factor, which is presented in this paper. It is also presented for the example of an atomic crystal of tellurium that the form of Chandrasekhar’s factor is incorrect. The mistakes in Chandrasekhar’s derivations are also discussed.

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Section: Calculationsmentioning

confidence: 72%

Note on the solutions of the model of coupled oscillators in crystalline optical activity for the direction perpendicular to the optic axis

Vyšín

Baránek

Řı́ha

2011

J. Opt.

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“…20−30 The OA of benzil has been studied more than that of any other organic crystal; 13,31−39 however, unlike quartz, its anisotropy has resisted characterization 40−42 while continuing to prompt discussion. 43 In the absence of this off-axis measurement of OA, interpretations will be forever incomplete, as will be the analogy between quartz and benzil. Here, we compare ORD measurements along the low-symmetry direction of crystalline benzil by two polarimetric methods accompanied by electronic structure calculations of the benzil molecule in its crystal conformation as well as aggregates of molecules.…”

Section: ■ Introductionmentioning

confidence: 99%

Optical Activity Anisotropy of Benzil

et al. 2017

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Optical activity (OA) along the optic axis of crystalline benzil has been measured by many over the past 150 years. However, the OA anisotropy remains uncharacterized due to difficulties in sample preparation as well as competition with linear birefringence (LB). The challenges associated with measuring OA along low-symmetry directions in crystals have too often left scientists with only average values of nonresonant OA in solution, i.e., specific rotations, which continue to resist interpretation in terms of structure. Measuring OA anisotropy has been facilitated by recent advances in polarimetry and optical modeling and here we compare results from two distinct division-of-time polarimeters. The absolute structure of crystalline benzil was established for the first time. The optical rotation (OR) of (+)-crystalline benzil (space group P3121) perpendicular to the optic axis at the sodium D-line is −24.6 ± 1.1°/mm. A spectroscopic optical model in the transparent region of the crystal is provided. Electronic structure calculations of OR inform the polarimetric measurements and point to the necessity of developing linear response theory with periodic boundary conditions in order to interpret the results of chiroptical measurements in crystals.

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Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves

Vyšín

Řı́ha

2012

Optik

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An alternative method of dispersion relations derivation in the crystalline optical activity in the direction perpendicular to the optic axis

Cited by 4 publications

References 19 publications

Note on the solutions of the model of coupled oscillators in crystalline optical activity for the direction perpendicular to the optic axis

Note on the solutions of the model of coupled oscillators in crystalline optical activity for the direction perpendicular to the optic axis

Optical Activity Anisotropy of Benzil

Generalization of the crystalline optical activity dispersion relations for arbitrary propagation direction of electromagnetic waves

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