Optical rotatory dispersion and circular dichroism of crystals

Vyšín, V.

doi:10.1016/0030-4018(70)90028-3

Cited by 11 publications

(3 citation statements)

References 8 publications

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“…It is also known that for example the ORD of α-quartz is very well approximated by the sum of the Drude formula and the Chandrasekhar formula with one central dichroic wavelength. The form of the first two relations in (43) was derived in [14] by means of the classical model of two coupled oscillators but the form of constants K (ρ) was different.…”

Section: Discussionmentioning

confidence: 99%

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The possibility of application of the three coupled oscillators model in crystalline optical activity

Vyšín

Sváčková

Řı́ha

2000

Optics Communications

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In this paper we generalize the quantum mechanical model of three coupled oscillators because of its usage in the crystal optical activity. Using this model we can include the influence of all essential couplings between single oscillators which represent the molecules or atoms of optically active crystals belonging for example to the space groups of symmetry D 4 3 or D 6 3 . The single oscillators are damped and therefore we can include both parts of the optical activity -optical rotatory dispersion and circular dichroism -into computations. We present more universal formulas for description of the above mentioned parts.

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Section: Discussionmentioning

confidence: 99%

“…The form of the first and the second relation was also derived in [14] with exception of the form of all constant K (σ) . We have made the first calculations which should tell us the meaning of these practical relations and above all the meaning of the third relations in the eqs.…”

Section: Discussionmentioning

confidence: 99%

The possibility of application of the three coupled oscillators model in crystalline optical activity

Vyšín

Sváčková

Řı́ha

2000

Optics Communications

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“…One can mention traditional methods enabling the derivation of the dispersion relations for the description of the crystalline OA in the direction parallel to the optic axis. Let us mention the method of two coupled oscillators [6][7][8] or the theory of excitons [9] at least. However, the theory of coupled oscillators can provide more general relations for the OA dispersion than any other method.…”

Section: Introductionmentioning

confidence: 99%

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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An alternative method of dispersion relations derivation in the crystalline optical activity

Vyšín

Riha

Vavříková

2005

Optik

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Optical rotatory dispersion and circular dichroism of crystals

Cited by 11 publications

References 8 publications

The possibility of application of the three coupled oscillators model in crystalline optical activity

The possibility of application of the three coupled oscillators model in crystalline optical activity

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

An alternative method of dispersion relations derivation in the crystalline optical activity

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