The temperature-dependent optical activity of quartz: from Le Châtelier to chirality measures

Yogev-Einot, Dina; Avnir, David

doi:10.1016/j.tetasy.2006.10.004

Cited by 38 publications

(34 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The study of symmetry is important in chemistry and physics, where the symmetry of a molecule correlates with its chemical and physical properties [68,70,71]. The CSM has been used in the study of structures ranging from single molecules [65,68,70,72,73], through clusters [74], and up to crystals [75]. Correlations have been shown between CSM values and nuclearmagnetic resonance values [76], energy changes accompanying molecular isomerization [77], optical rotations [75], pressure and temperature structural effects [78], as well as enzymatic activity [79] and more [80].…”

Section: Csm In Physics and Chemistrymentioning

confidence: 99%

Fluctuating Asymmetry: Methods, Theory, and Applications

et al. 2010

View full text Add to dashboard Cite

Fluctuating asymmetry consists of random deviations from perfect symmetry in populations of organisms. It is a measure of developmental noise, which reflects a population's average state of adaptation and coadaptation. Moreover, it increases under both environmental and genetic stress, though responses are often inconsistent. Researchers base studies of fluctuating asymmetry upon deviations from bilateral, radial, rotational, dihedral, translational, helical, and fractal symmetries. Here, we review old and new methods of measuring fluctuating asymmetry, including measures of dispersion, landmark methods for shape asymmetry, and continuous symmetry measures. We also review the theory, developmental origins, and applications of fluctuating asymmetry, and attempt to explain conflicting results. In the process, we present examples from the literature, and from our own research at "Evolution Canyon" and elsewhere.

show abstract

Section: Csm In Physics and Chemistrymentioning

confidence: 99%

Fluctuating Asymmetry: Methods, Theory, and Applications

et al. 2010

View full text Add to dashboard Cite

show abstract

“…The determination of CB has been subject of extensive experimental study, particularly for many crystals. Alpha-quartz (SiO 2 ) is probably the most studied, where the parameters of optical activity are known with great accuracy [3,4], as well as the variations with temperature and pressure [5,6]. As a result, quartz plates are routinely used as a standard of calibration for commercial polarimeters.…”

Section: Introductionmentioning

confidence: 99%

Determination of the components of the gyration tensor of quartz by oblique incidence transmission two-modulator generalized ellipsometry

2009

View full text Add to dashboard Cite

show abstract

“…After the introduction of the coefficients as a function of b and d this equation simplifies to Equation (22).…”

Section: Continuous Symmetry Measures For the Electron Distributionmentioning

confidence: 99%

A Continuous Symmetry Analysis of Chemical Bonding

Dryzun

Alemany

Casanova

et al. 2011

Chemistry A European J

Self Cite

View full text Add to dashboard Cite

The ability to quantify the symmetry content of a given molecular system is important both for the quantitative prediction of its physical and chemical properties, as well as for the establishment of powerful theoretical concepts that can be derived solely from symmetry considerations. The symmetry content of a complex object such as a molecule relies, however, on the level of structural description that is chosen. This may range form a simple geometrical picture in which only the position of the nuclei is indicated, to a more or less detailed description of the electronic structure given by the different quantum chemical methods. Recently, a paper was published describing a new general methodology for calculating the symmetry content of diverse mathematical objects, such as vectors, operators, matrices, functions and more. In the present work we apply that approach to explore the inversion symmetry for diatomic molecules. Although it is a very simple system, general physical conclusions on the phenomenon of chemical bonding can be easily obtained from the symmetry analysis at different levels of description.

show abstract

The temperature-dependent optical activity of quartz: from Le Châtelier to chirality measures

Cited by 38 publications

References 16 publications

Fluctuating Asymmetry: Methods, Theory, and Applications

Fluctuating Asymmetry: Methods, Theory, and Applications

Determination of the components of the gyration tensor of quartz by oblique incidence transmission two-modulator generalized ellipsometry

A Continuous Symmetry Analysis of Chemical Bonding

Contact Info

Product

Resources

About