Enjoying an Empty Edifice

This paper reaffirms the methodological potentials of Lacanian psychoanalysis for the theories of nationalism. From the Lacanian perspective, national consciousness and self-determination are only possible in the fantasmatic frame­work through the (mis)recognition and retroactive construction. National imagination is the form of transference, necessary for performing the nation through invented traditions and rituals. However, beyond symbolization and imaginary (mis)recognition, there is always something that resists closure, linked with the subjects' desire and organized around the lack of the subjects' full enjoyment. Taking together all these aspects, we build an analytical framework for the study of nationalism, which comprises a quadruple system of identifications by referring to the concepts of Ideal-Ego, Ego-Ideal, Super-Ego and specular Other, and illustrate it through the example of the AKP's Turkish nationalism.

Analysis of eclipsing binaries in multiple stellar systems: the case of V1200 Centauri

ABSTRACT We present a new analysis of the multiple-star V1200 Centauri based on the most recent observations for this system. We used the photometric observations from the Solaris network and the Transiting Exoplanet Survey Satellite telescope, combined with the new radial velocities from the CHIRON spectrograph and those published in the literature. We confirmed that V1200 Cen consists of a 2.5-d eclipsing binary orbited by a third body. We derived the parameters of the eclipsing components, which are $M_{\mathrm{ Aa}} = 1.393\pm 0.018\,$M⊙, $R_{\mathrm{ Aa}} = 1.407\pm 0.014\,$R⊙, and $T_{{\rm eff},\mathrm{ Aa}} = 6588\pm 58\,$K for the primary, and $M_{\mathrm{ Ab}} = 0.8633\pm 0.0081\,$M⊙, $R_{\mathrm{ Ab}} = 1.154\pm 0.014\,$R⊙, and $T_{{\rm eff},\mathrm{ Ab}} = 4475\pm 68\,$K for the secondary. Regarding the third body, we obtained significantly different results than those previously published. The period of the outer orbit is found to be 180.4 d, implying a minimum mass of $M_\mathrm{ B} = 0.871\pm 0.020\,$M⊙. Thus, we argue that V1200 Cen is a quadruple system with a secondary pair composed of two low-mass stars. Finally, we determined the ages of each eclipsing component using two evolution codes, namely mesa and cestam. We obtained ages of 16–18.5 and 5.5–7 Myr for the primary and the secondary, respectively. In particular, the secondary appears larger and hotter than that predicted at the age of the primary. We concluded that dynamical and tidal interactions occurring in multiples may alter the stellar properties and explain the apparent non-coevality of V1200 Centauri.

CzeV1731: The unique doubly eclipsing quadruple system

We report the discovery of the relatively bright (V = 10.5 mag), doubly eclipsing 2+2 quadruple system CzeV1731. This is the third known system of its kind, in which the masses are determined for all four stars and both the inner and outer orbits are characterized. The inner eclipsing binaries are well-detached systems moving on circular orbits: pair A with period PA = 4.10843 d and pair B with PB = 4.67552 d. The inner binaries contain very similar components (q ≈ 1.0), making the whole system a so-called double twin. The stars in pair B have slightly larger luminosities and masses and pair A shows deeper eclipses. All four components are main-sequence stars of F/G spectral type. The mutual orbit of the two pairs around the system barycenter has a period of about 34 yr and an eccentricity of about 0.38. However, further observations are needed to reveal the overall architecture of the whole system, including the mutual inclinations of all orbits. This is a promising target for interferometry to detect the double at about 59 mas and ΔMbol < 1 mag.

MELT PROPERTIES OF THE FOUR SALT SYSTEM AlF3-KF-NaF-ZrF4

The fusibility of salt mixtures in the anhydrous quadruple AlF3-KF-NaF-ZrF4 system was studied. The direction of lowering the melting point of substances in the tetrahedron of the composition of the quadruple system, the influence of complexation on lowering the melting point of salt mixtures, were clarified. The fusibility of salts in the ternary AlF3-NaF-ZrF4 system was investigated experimentally by methods of thermal phase analysis. The diagram of fusibility to the isotherm of 900 °C is constructed. Primary crystallization fields are represented by the phases of the initial salts (AlF3, KF, ZrF4) of the compounds that were formed in binary subsystems (2KF∙ZrF4, 7NaF∙6ZrF4, 3NaF∙4ZrF4, 5NaF∙3AlF3) and Na3AlF6-Na3ZrF7 solid solutions. The minimum melting point was 466 ° C in a triple eutectic. The fusibility of salt mixtures was experimentally studied in the subsystem K2ZrF6-Na2ZrF6-KAlF4-NaAlF4, which was a section of the tetrahedron of the composition of the quadruple system AlF3-KF-NaF-ZrF4. The fusibility diagram of this subsystem was constructed. A triple point with a melting point of 450 °C was found. Primary crystallization fields are represented by compounds K2ZrF6, Na2ZrF6 and solid solutions KAlF4-NaAlF4. The low-melting region of the compositions in the tetrahedron of the composition of the quadruple system was shifted to the faces NaF-KF-ZrF4 and AlF3-KF-ZrF4. The intense chemical interaction of the starting materials of the quadruple system with the formation of complex compounds and the extensive formation of solid solutions complicated the determination of crystallizing solid phases and the establishment of monovariant equilibria in quadruple mixtures. Quadruple eutectic in the four component system was formed by the merger of four monovariant lines. To calculate the composition of the quadruple eutectic by the melting temperature and the composition of the eutectic of the triple subsystems, the coordinates of the four triple points are necessary. The characteristic of two triple points was obtained as a result of an experimental study of the fusibility diagrams of auxiliary sections of a tetrahedron of the composition: K2ZrF4-Na2ZrF6-KAlF4-NaAlF4 and KZrF6-NaAlF4-(0,5NaF+0,5ZrF4)-KAlF4, which were located near the quadruple eutectic.

Secular changes in the orbits of the quadruple system VW LMi

ABSTRACT VW LMi is the tightest known quadruple system with 2 + 2 hierarchy. It consists of a W UMa-type eclipsing binary (P12 = 0.477 55 d) and another detached non-eclipsing binary (P34 = 7.93 d) orbiting around a common centre of mass in about P1234 = 355 d. We present new observations of the system extending the time baseline to study long-term perturbations in the system and to improve orbital elements. The multidataset modelling of the system (four radial-velocity curves for the components and the timing data) clearly showed an apsidal motion in the non-eclipsing binary at a rate of 4.6 deg yr−1, but no other perturbations. This is consistent with the nearly co-planarity of the outer, 355-d orbit, and the 7.93-d orbit of the non-eclipsing binary. Extensive N-body simulations enabled us to constrain the mutual inclination of the non-eclipsing binary and the outer orbits to j34–1234 &lt; 10 deg.