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Related Concept Videos

Valence Bond Theory02:42

Valence Bond Theory

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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Valence Bond Theory02:45

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Overview of Valence Bond Theory
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Resonance and Hybrid Structures02:16

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According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
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Complexation Equilibria: Overview01:23

Complexation Equilibria: Overview

1.1K
Complexation reactions take place when dative or coordinate covalent bonds form between metal ions and ligands. The compounds formed in these reactions are called coordination compounds. The number of bonds formed between the metal ion and the ligands is called its coordination number. Generally, most metal ions in an aqueous solution are solvated by water molecules and thus exist as aqua complexes.
The equilibrium constant of the complexation reaction is represented as the formation constant...
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Complexation Equilibria: Factors Influencing Stability of Complexes01:09

Complexation Equilibria: Factors Influencing Stability of Complexes

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In complexation reactions, metal cations are the electron pair acceptors, and the ligands are the electron pair donors. The stability of the metal complexes depends primarily on the complexing ability of the central metal ion and the nature of the ligands. Generally, the complexing ability of the metal ion depends on the size and charge of the ion. As the metal ion size increases, the stability of the metal complexes decreases, provided that the valency of the metal ion and the ligands remain...
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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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A Note on Complexities by Means of Quantum Compound Systems.

Noboru Watanabe1

  • 1Department of Information Sciences, Tokyo University of Science, Noda City, Chiba 278-8510, Japan.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary

Quantum mutual entropy, crucial for information transfer, is explored using entangled compound states. These states, while novel, appear unsuitable for quantifying information transmission efficiency in quantum systems.

Keywords:
quantum compound systemquantum entropyquantum information

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Area of Science:

  • Quantum Information Theory
  • Quantum Mechanics
  • Information Theory

Background:

  • Joint probability distributions for quantum systems are generally non-existent.
  • Ohya's compound state, derived from Schatten decomposition, reveals input-output system correlations.
  • Quantum mutual entropy, formulated by Ohya, quantifies information transmission and satisfies fundamental inequalities.

Purpose of the Study:

  • Investigate the construction of entangled compound states.
  • Introduce the hybrid entangled compound state.
  • Assess the validity of compound states in constructing quantum mutual entropy-type complexity.

Main Methods:

  • Utilizing Ohya's compound state formulation.
  • Applying Schatten decomposition for state construction.
  • Introducing and analyzing the hybrid entangled compound state.

Main Results:

  • The Ohya compound state is a separable state.
  • Entangled compound states, including the hybrid type, were investigated.
  • Quantum mutual entropy-type complexity using entangled compound states may not be effective for information transmission efficiency.

Conclusions:

  • Entangled compound states present a new avenue in quantum information research.
  • The utility of entangled compound states for measuring information transmission efficiency requires further scrutiny.
  • Current findings suggest limitations in applying these complex states to assess information transfer efficiency.