Perfect 1‐Factorizations of a Family of Cayley Graphs

A 1‐factorization of a graph G is a decomposition of G into edge‐disjoint 1‐factors (perfect matchings), and a perfect 1‐factorization is a 1‐factorization in which the union of any two of the 1‐factors is a Hamilton cycle. We consider the problem of the existence of perfect 1‐factorizations of even order 4‐regular Cayley graphs, with a particular interest in circulant graphs. In this paper, we study a new family of graphs, denoted , which are Cayley graphs if and only if k is even or . By solving the perfect 1‐factorization problem for a large class of graphs, we obtain a new class of 4‐regular bipartite circulant graphs that do not have a perfect 1‐factorization, answering a problem posed in 7 . With further study of graphs, we prove the nonexistence of P1Fs in a class of 4‐regular non‐bipartite circulant graphs, which is further support for a conjecture made in 7 .     

Studies of conversion progress of calcium aluminate cement hydrates by thermal analysis method

This article presents the investigations of the progress of conversion process of calcium aluminate hydrates formed during hydration of calcium aluminate cement at various temperature conditions occurring over time by thermal analysis method. Moreover, the differences of microstructure were also confirmed by SEM/EDS studies and X-ray diffraction analysis. On the basis of the obtained results, it is concluded that thermal analysis method is a very attractive and useful way to identify the structure of hydrated calcium aluminate cement matrix and allows estimating the degree of the conversion at different times of various process conditions. The conversion process of metastable calcium aluminate hydrates into stable hydrogarnet and gibbsite is strictly temperature dependent and could be completed at different times. Acceleration of the conversion is caused not only by the increasing external temperature of storage, but also the temperature inside the sample is very important. The self-heating, which could be strong in large sample, and occurring during first few hours of hydration of calcium aluminate cement, initiates the transformation.     

Octacyanidorhenate(V) Ion as an Efficient Linker for Hysteretic Two-Step Iron(II) Spin Crossover Switchable by Temperature,Light, and Pressure

A two-step hysteretic Fe^II spin crossover (SCO) effect was achieved in programmed layered Cs{[Fe(3-CNpy)₂][Re(CN)₈]}⋅H₂O ( 1 ) (3-CNpy=3-cyanopyridine) assembly consisting of cyanido-bridged Fe^II-Re^V square grid sheets bonded by Cs⁺ ions. The presence of two non-equivalent Fe^II sites and the conjunction of 2D bimetallic coordination network with non-covalent interlayer interactions involving Cs⁺, [Re^V(CN)₈]³⁻ ions, and 3-CNpy ligands, leads to the occurrence of two steps of thermal SCO with strong cooperativity giving a double thermal hysteresis loop. The resulting spin-transition phenomenon could be tuned by an external pressure giving the room-temperature range of SCO, as well as by visible-light irradiation, inducing an efficient recovery of the high-spin Fe^II state at low temperatures. We prove that octacyanidorhenate(V) ion is an outstanding metalloligand for induction of a cooperative multistep, multiswitchable Fe^II SCO effect.     

Polymers containing substituted 2-phenyl-benzoxazole side-chain groups: Synthesis and phase behavior

The synthesis of substituted 2-phenyl-benzoxazoles has been accomplished by ring closure of Schiff bases. The compounds have been used as precursors of acrylic derivatives displaying LC properties: Four comb-like homopolymers have been obtained by radical catalysis from the acrylic monomers. The polymers have been characterized by ¹H-NMR, DSC, x-ray diffraction, viscometry, and polarizing microscopy. Three of the polymers exhibit liquid crystalline properties of smectic type. © 1996 John Wiley & Sons, Inc.     

Selection of solvent load and first-stage pressure to reduce interference effects in inductively coupled plasma-mass spectrometry

In inductively coupled plasma-mass spectrometry the first-stage pressure and solvent characteristics can strongly influence spectral and nonspectroscopic interference effects. By manipulating the pressure and solvent load, one can regulate the degree of analyte signal suppression observed in the presence of high concentrations (> 10 mM) of concomitants. Importantly, the same operating conditions that eliminate the matrix effects maintain the analytical utility of the system. However, for some interferent-analyte combinations, the identity of the concomitant anion and subsequent pH of the solution determine whether the interference effects can be eliminated entirely. The first-stage pressure does not appear to significantly affect the oxide-ion and doubly charged ion ratios; the solvent characteristics are the dominant factors that dictate these ratios.     

Recognition hysteresis of the acetylcholine receptor of torpedo Californica

The nicotinic acetylcholine receptor (nAcChR) of the electric organ of Torpedo californica fish exhibits a pronounced hysteresis loop in the high affinity binding of the neurotransmitter acetylcholine (AcCh). When increasing amounts of AcCh are added (pulse mode) an extremely long-lived, metastable conformer distribution is obtained (lower hysteresis branch) between low affinity AcCh binding states (R_l) and high (R_h) and very high (R_vh) affinity states. Dialysis conditions always lead to the equilibrium binding curve (upper hysteresis branch; K̄_A = 5 × 10⁻⁹M, 4°C; one A bound to the R-monomer of M_r ≈ 290 000). Cyclic, pulse mode addition and dilution of AcCh results in scanning loops within the main hysteresis. The kinetic analysis of the changes in free and bound AcCh during the open-system conditions of dialysis, that releases the metastability, shows that the AcCh (A) binding proceeds along an induced-fit pathway according to A+R_h ⇋ AR_n ⇋ AR_vh. The rate constant of the step AR_h → AR_vh is k₂ = 6 × 10⁻³s⁻¹ and that of the reverse step is k₋₂ = 3 × 10⁻⁴s⁻¹. Direct binding of A to free R_vh can be excluded. Therefore, the state R_vh does not preexist, it is induced and only stable, as AR_vh, by bound AcCh. The metastability can be described in terms of long-lived AR_vh ·R₁ hybrid dimers. Physiologically, the metastable hybrid may be viewed as a saving device: the functionally important, channel-active R₁ conformer is, at low AcCh-concentrations [A] < 1μM, prevented to convert to the desensitized states R_h and AR_vh. Furtheron, AcCh enhances the phosphorylation of phosphatidyl inositol and the auto-phosphorylation of the receptor. If the AcCh binding hysteresis causes a phosphorylation hysteresis the desensitized nAcChR may serve as a memory molecule of the transsynaptic information signalling of the neurotransmission.