Evolutionary Processes in Multiple Systems

Eggleton, P. P.; Kisseleva-Eggleton, Ludmila

doi:10.1007/978-3-540-74745-1_1

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…Shannon and Fischer have evaluated ≈2600 dynamic polarizabilities derived from the refractive indices n D , of ≈1200 minerals and 675 synthetic compounds to yield a unique set of individual electronic polarizabilities of ions which can be used for the interpretation of optical properties. The total polarizabilities of a compound can be calculated from the observed refractive indices using the Anderson–Eggleton relationship

\begin{matrix} true \\ left α_{AE} = ((), n_{D}^{2} - 1) V_{m} / \\ left ((), 4 π + ((), \frac{4 π}{3} - c) ((), n_{D}^{2} - 1)) \end{matrix}

where α AE = the total polarizability of a mineral or compound, n D is the refractive index at λ = 589.3 nm, V m = molar volume per formula unit in Å 3 , and c = 2.26 being the electronic overlap factor .…”

Section: Introductionmentioning

confidence: 99%

Empirical Electronic Polarizabilities: Deviations from the Additivity Rule. II. Structures Exhibiting Ion Conductivity

Shannon

Kabanova

Fischer

2019

Crystal Research and Technology

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Ion conductivity in minerals and compounds is associated with continuous migration paths and leads to negative total electronic polarizability deviations [ = (α obs −α calc )/α obs )] up to 13%. Such deviations can be related to continuous migration paths determined in an earlier Voronoi-Dirichlet Partition (VDP) analysis of fast-ion conductors, that is, compounds such as LiB 3 O 5 with 1D conductivity, Li 4 SiO 4 with 2D conductivity, and Li 2 SO 4 with 3D conductivity. Using the Voronoi-Dirichlet (VD) method in this study, the migration paths and the dimensionality of many more compounds with negative polarizability deviations are identified. Continuous migration paths are found for the confirmed Li-ion conductors LiFePO 4 and Li 3 VO 4 and for the potential Li-ion conductors LiGeBO 4 , CsLiB 6 O 10 , Li 2 Ti 3 O 7 , LiMn 0.8 Fe 0.17 PO 4 , Li 2 NaPO 4 , and LiNaSO 4 . Similarly, continuous migration paths are found for the confirmed

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\begin{matrix} true \\ left α_{AE} = ((), n_{D}^{2} - 1) V_{m} / \\ left ((), 4 π + ((), \frac{4 π}{3} - c) ((), n_{D}^{2} - 1)) \end{matrix}

Section: Introductionmentioning

confidence: 99%

Empirical Electronic Polarizabilities: Deviations from the Additivity Rule. II. Structures Exhibiting Ion Conductivity

Shannon

Kabanova

Fischer

2019

Crystal Research and Technology

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“…These investigations elaborated the empirical GD relation without probing its theoretical foundation . A theoretical justification for the GD relation was attempted by Eggleton, who derived the GD relation from the Anderson's general refractivity equation for specific cases of 1.4 < n < 1.8. However, the GD relation is applicable to many other systems for which n > 1.8.…”

Section: Introductionmentioning

confidence: 99%

On the Volume-Dependence of the Index of Refraction from the Viewpoint of the Complex Dielectric Function and the Kramers−Kronig Relation

2006

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How indices of refraction n(omega) of insulating solids are affected by the volume dilution of an optical entity and the mixing of different, noninteracting simple solid components was examined on the basis of the dielectric function epsilon(1)(omega) + iepsilon(2)(omega). For closely related insulating solids with an identical composition and the formula unit volume V, the relation [epsilon(1)(omega) - 1]V = constant was found by combining the relation epsilon(2)(omega)V = constant with the Kramers-Kronig relation. This relation becomes [n(2)(omega) - 1]V = constant for the index of refraction n(omega) determined for the incident light with energy less than the band gap (i.e., h omega < E(g)). For a narrow range of change in the formula unit volume, the latter relation is well approximated by a linear relation between n and 1/V.

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On the Triple Origin of Blue Stragglers

Perets

Fabrycky

2009

ApJ

261

266

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Blue straggler stars (BSSs) are stars observed to be hotter and bluer than other stars with the same luminosity in their environment. As such they appear to be much younger than the rest of the stellar population. Two main channels have been suggested to produce such stars: (1) collisions between stars in clusters or (2) mass transfer between, or merger of, the components of primordial short-period binaries. Here we suggest a third scenario, in which the progenitor of BSSs are formed in primordial (or dynamically formed) hierarchical triple stars. In such configurations the dynamical evolution of the triples through the Kozai mechanism and tidal friction can induce the formation of very close inner binaries. Angular momentum loss in a magnetized wind or stellar evolution could then lead to the merger of these binaries (or to mass transfer between them) and produce BSSs in binary (or triple) systems. We study this mechanism and its implications and show that it could naturally explain many of the characteristics of the BSS population in clusters, most notably the large binary fraction of long period BSS binaries; their unique period-eccentricity distribution (with typical periods>700 days); and the typical location of these BSSs in the color-magnitude diagram, far from the cluster turn-off point of their host clusters. We suggest that this scenario has a major (possibly dominant) role in the formation of BSSs in open clusters and give specific predictions for the the BSSs population formed in this manner. We also note that triple systems may be the progenitors of the brightest planetary nebulae in old elliptical galaxies, which possibly evolved from BSSs. Subject headings:

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Evolutionary Processes in Multiple Systems

Cited by 3 publications

References 16 publications

Empirical Electronic Polarizabilities: Deviations from the Additivity Rule. II. Structures Exhibiting Ion Conductivity

Empirical Electronic Polarizabilities: Deviations from the Additivity Rule. II. Structures Exhibiting Ion Conductivity

On the Volume-Dependence of the Index of Refraction from the Viewpoint of the Complex Dielectric Function and the Kramers−Kronig Relation

On the Triple Origin of Blue Stragglers

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