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Valency
About: Valency is a research topic. Over the lifetime, 1632 publications have been published within this topic receiving 26141 citations.
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TL;DR: In this article , all connected locally primitive symmetric graphs of valency 2r admitting a transitive alternating automorphism group are determined, where r is odd prime and r is the odd prime.
TL;DR: Masese et al. as mentioned in this paper used high-resolution transmission electron microscopy (HRTEM) to obtain novel honeycomb layered oxides exhibiting silveratom bilayers, theoretically understood via emergent SU(2) interactions with three distinct states of silver associated with fractional valency (sub-valent) states, alongside conventional U(1) (electromagnetic) interaction.
Abstract: Silver Degenerate States In article number 2204672, using high‐resolution transmission electron microscopy (HRTEM), Titus Masese, Godwill Mbiti Kanyolo, and co‐workers report novel honeycomb layered oxides exhibiting silveratom bilayers. The bilayers are theoretically understood via emergent SU(2) interactions with three distinct states of silver associated with fractional valency (sub‐valent) states, alongside conventional U(1) (electromagnetic) interaction. Breaking the SU(2)×U(1) symmetry, analogous to electroweak theory, generates silver mass terms manifesting as the bilayered structure.
TL;DR: In this paper , it was shown that for every positive integer m at least 6, there is a Cayley graph X of m points such that Rw acts transitively in X2(w) but not in X(w).
TL;DR: In this article , the authors investigated the magnetic susceptibility of Yb14-xYxZnSb11 (Y, La, and Lu) by temperature-dependent magnetic susceptibility and the broad feature in magnetic susceptibility measurements at 85 K in pristine Yb 14-xSznSzb11 attributed to valence fluctuation decreases and is absent for x = 0.45.
Abstract: The solid solutions of Yb14-xRExZnSb11 (RE = Sc, Y, La, Lu, and Gd; 0.2 ≤ x ≤ 0.7) were prepared to probe the intermediate valency of Yb in Yb14ZnSb11. The substitution of Yb with RE3+ elements should reduce or remove the intermediate valency of the remaining Yb ions. Large crystals are grown from Sn-flux, and the structure and magnetic susceptibility are presented. All compounds crystallize in the Ca14AlSb11 structure type and the RE3+ ions show Yb site substitution preferences that correlate with size. Two compositions of Yb14-xYxZnSb11 were investigated [x = 0.38(3), 0.45(3)] by temperature-dependent magnetic susceptibility and the broad feature in magnetic susceptibility measurements at 85 K in pristine Yb14ZnSb11 attributed to valence fluctuation decreases and is absent for x = 0.45(3). In compounds with nonmagnetic RE3+ substitutions (Sc, Y, La, and Lu), temperature-dependent magnetic susceptibility shows a transition from intermediate valency fluctuation toward temperature-independent (Y, La, and Lu) or Curie-Weiss behavior and possibly low temperature heavy Fermion behavior (Sc). In the example of the magnetic rare earth substitution, RE = Gd, the Curie-Weiss-dependent magnetic moment of Gd3+ is consistent with x. Hall resistivity of Yb14-xYxZnSb11 showed that the carrier concentration decreases with x and the signature of the low-T intermediate valence state seen for x = 0 is suppressed for x = 0.38 and gone for x = 0.45.