Kinetics of the periodate oxidation of octacyanomolybdate(IV) in ethanol-water solvent mixtures

The kinetics of the oxidation of Mo(CN) ₈ ^4– by IO ₄ ^– has been studied in ethanol—water solvent mixtures over a temperature range of 15–35 °C. The effect of solvent composition on the reaction rate and the mechanism has been investigated. Activation parameters are given. An inner-sphere mechanism, consistent with the kinetic results, is proposed.

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Kinetik der Periodat-Oxidation von Octacyanomolybdat(IV) in Ethanol-Wasser

Zusammenfassung Die Kinetik der Oxidation von Mo(CN) ₈ ^4– mit IO_4/– wurde in Ethanol—Wasser über einen Temperaturbereich von 15–35 °C untersucht. Der Effekt der Lösungsmittelzusammensetzung auf die Reaktionsgeschwindigkeit und der Mechanismus der Reaktion werden diskutiert. Die Aktivierungsparameter sind angeführt. Es wird ein Inner-Sphere-Mechanismus vorgeschlagen, der mit den kinetischen Ergebnissen konsistent ist.

     

Numerical Study of Some Statistical Quantities for Quantum Systems Under Damping Effects

We present a model of interaction between a four-level atom and the cavity field initially prepared in the coherent state in the presence of the phase damping effect. We discuss the atom–field entanglement and statistical properties under the damping effect in view of numerical calculations. We use the Mandel parameter as a quantifier of the statistical properties of the field; moreover, we study the different effects of the collective parameters in the master equation on the dynamical behavior of the field statistical properties and the entanglement measured by the negativity. Finally, we explore the link between the entanglement and statistical properties in view of the numerical results during the time evolution.     

Quantum Coherence in Non-Markovian Quantum Channels

We numerically simulate quantum coherence in a system of two qubits interacting with a reservoir for non-Markovian channels. The explicit form of the master equation is taken in terms of density-operator elements and is solved according to the initial conditions. In particular, we consider the effect of an Ohmic reservoir (OR) with Lorentz–Drude regularization (LDR) on the extent of coherence during dynamics. We describe the dynamical behavior of the coherence for low, intermediate, and high-temperature reservoirs. We explain the effect of the ratio of the cutoff frequency (CF) to the quantum system frequency and the effect of temperature on the quantum coherence. We show that a decreasing ratio enhances coherence, while an increasing temperature decreases it.

     

Quantum Fisher information for a qubit system placed inside a dissipative cavity

We study the time evolution of the quantum Fisher information of a system whose the dynamics is described by the phase-damped model. We discuss the correlation between the Fisher information and entanglement dynamics of a qubit and single-mode quantized field in a coherent state inside phase-damped cavity. Analytic results under certain parametric conditions are obtained, by means of which we analyze the influence of dissipation on the negativity and quantum Fisher information for different values of the estimator parameter. An interesting monotonic relation between the Fisher information and nonlocal correlation behavior is observed during the time evolution.     

Bipartite entanglement within the framework of real and ideal lasers

We study the nonlocal correlations and quantum entanglement for two deformed bosonic fields of arbitrary deformation parameters, q ₁ and q ₂, prepared in an entanglement of deformed coherent states. As a measure of entanglement, we use the von Neumann entropy and investigate its behavior for different strength regimes of the optical fields. We find that the photon number can enhance the von Neumann entropy, and the deformation parameters can restrain the system entanglement.     

The atomic Wehrl entropy of a <Emphasis Type="Italic">V</Emphasis>-type three-level atom interacting with two-mode squeezed vacuum state

We study the interaction of a V-type three-level atom with a two-mode field through the two-photon interaction when the atom is initially in the upper state and the initial field is in the two-mode squeezed vacuum state. The influence of the atomic motion on the evolution of the atomic Q-function and atomic Wehrl entropy is examined. The results show that the atomic motion and the mode structure play important roles in the evolution of the atomic Q-function, atomic Wehrl entropy, and marginal atomic Wehrl entropy.     

Physical Properties,Field Purity,and Quantum Phase for a Two-Level Atom in Photon-Added Coherent States for the Morse Potential

In this paper, we consider a two-level atom (TLA) interacting with a field mode, which is initially in the photon-added coherent state for the Morse potential (PACSMP). We investigate the dynamical behavior of quantum entropy, the geometric phase, and the Mandel parameter and discuss the statistical and nonclassical properties of the field with regards to its PACSMP through the evolution of the Mandel parameter. We examine the effects of the number of added photons, the initial-state setting, and the Morse-potential parameters. We establish the relationship between the field purity, nonclassical properties, and geometric phase of the system state during the time evolution. The results show that the numbers of added photons and CSMP strength have the potential to affect the time evolution of the field purity, the geometric phase, and the Mandel parameter. We explore some important physical phenomena such as sudden death and sudden birth of the nonlocal correlation between TLA and field systems.     

Quantumness Measures for a System of Two Qubits Interacting with a Field in the Presence of the Time-Dependent Interaction and Kerr Medium

In this work, we introduce the standard Tavis-Cummings model to describe two-qubit system interacting with a single-mode field associated to power-law (PL) potentials. We explore the effect of the time-dependent interaction and the Kerr-like medium. We solve the Schrödinger equation to obtain the density operator that allows us to investigate the dynamical behaviour of some quantumness measures, such as von Neumann entropy, negativity and Mandel’s parameter. We provide how these entanglement measures depend on the system parameters, which paves the way towards better control of entanglement generation in two-qubit systems. We find that the enhancement and preservation of the atoms-field entanglement and atom-atom entanglement can be achieved by a proper choice of the initial parameters of the field in the absence and presence of the time-dependent interaction and Kerr medium. We examine the photons distribution of the field and determine the situations for which the field exhibits super-poissonian, poissonian or sub-poissonian distribution.     

Toward an Octonionic World

In order to obtain a consistent formulation ofoctonionic quantum mechanics (OQM), we introduceleft/right-barred operators. Such operators enable us tofind the translation rules between octonionic numbers and 8 × 8 real matrices (a translation isalso given for 4 × 4 complex matrices). The use ofa complex geometry allows us to overcome the hermiticityproblem and define an appropriate momentum operator within OQM. As an application of our results,we develop an octonionic relativistic free waveequation, linear in the derivatives. Even if the wavefunctions are only one-component, we show that fourindependent solutions, corresponding to those of the Diracequation, exist.     

Kinetics and mechanism of oxidation of the chromium(III)-dl-valine complex/periodate reaction. Evidence for iron(II) catalysis

Oxidation of the chromium(III)-dl-valine complex [CrIII(L)2(H2O)2]+ by periodate has been investigated in aqueous medium. The kinetics of the reaction in aqueous medium in the presence of iron(II) as catalyst obeyed the rate law:Catalysis by iron(II) is believed to be due to the oxidation of iron(II) to iron(III), which acts as the oxidizing agent. The thermodynamic activation parameters were calculated and we propose that electron transfer proceeds through an inner-sphere mechanism via coordination of IO4– to chromium(III).