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On the classical theory of molecular optical activity
Atomic Physics · Submitted 5 Sep 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that all phenomena known in the classical theory of molecular optical activity can be described with the use of one pseudo-scalar which is a uniform function of the incident light frequency $\omega$.
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The abstract, sentence by sentence
The basic principles of classical and semi-classical theories of molecular optical activity are discussed. These theories are valid for dilute solutions of optically active organic molecules. It is shown that all phenomena known in the classical theory of molecular optical activity can be described with the use of one pseudo-scalar which is a uniform function of the incident light frequency $\omega$. The relation between optical rotation and circular dichroism is derived from the basic Kramers-Kronig relations. In our discussion of the general theory of molecular optical activity we introduce the tensor of molecular optical activity. It is shown that to evaluate the optical rotation and circular dichroism at arbitrary frequencies one needs to know only nine (3 + 6) molecular tensors. The quantum (or semi-classical) theory of molecular optical activity is also briefly discussed. We also raise the possibility of measuring the optical rotation and circular dichroism at wavelengths which correspond to the vacuum ultraviolet region, i.e. for $\lambda \le 150$ $nm$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The basic principles of classical and semi-classical theories of molecular optical activity are discussed. | background 0.66 | 0.36 | 0.06 | asserted 0.86 |
| s1 | These theories are valid for dilute solutions of optically active organic molecules. | limitation 0.59 | 0.07 | 0.04 | asserted 1.00 |
| s2 | It is shown that all phenomena known in the classical theory of molecular optical activity can be described with the use of one pseudo-scalar which is a uniform function of the incident light frequency $\omega$. | result 0.96 | 0.73 | 0.56 | asserted 1.00 |
| s3 | The relation between optical rotation and circular dichroism is derived from the basic Kramers-Kronig relations. | result 0.65 | 0.74 | 0.10 | asserted 1.00 |
| s4 | In our discussion of the general theory of molecular optical activity we introduce the tensor of molecular optical activity. | contribution 0.75 | 0.81 | 0.05 | asserted 0.94 |
| s5 | It is shown that to evaluate the optical rotation and circular dichroism at arbitrary frequencies one needs to know only nine (3 + 6) molecular tensors. | result 0.92 | 0.78 | 0.25 | asserted 1.00 |
| s6 | The quantum (or semi-classical) theory of molecular optical activity is also briefly discussed. | contribution 0.58 | 0.49 | 0.03 | asserted 0.94 |
| s7 | We also raise the possibility of measuring the optical rotation and circular dichroism at wavelengths which correspond to the vacuum ultraviolet region, i.e. for $\lambda \le 150$ $nm$. | future work 0.97 | 0.18 | 0.04 | hedged possibility 0.94 |
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Original abstract
The basic principles of classical and semi-classical theories of molecular optical activity are discussed. These theories are valid for dilute solutions of optically active organic molecules. It is shown that all phenomena known in the classical theory of molecular optical activity can be described with the use of one pseudo-scalar which is a uniform function of the incident light frequency $\omega$. The relation between optical rotation and circular dichroism is derived from the basic Kramers-Kronig relations. In our discussion of the general theory of molecular optical activity we introduce the tensor of molecular optical activity. It is shown that to evaluate the optical rotation and circular dichroism at arbitrary frequencies one needs to know only nine (3 + 6) molecular tensors. The quantum (or semi-classical) theory of molecular optical activity is also briefly discussed. We also raise the possibility of measuring the optical rotation and circular dichroism at wavelengths which correspond to the vacuum ultraviolet region, i.e. for $\lambda \le 150$ $nm$.
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