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Colors and Magnetism03:02

Colors and Magnetism

Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human eye.
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Valence Bond Theory02:42

Valence Bond Theory

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...
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...

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Related Experiment Video

Updated: Jun 18, 2026

Tuning Oxide Properties by Oxygen Vacancy Control During Growth and Annealing
06:44

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Published on: June 9, 2023

Size effects in the Li(4+x)Ti(5)O(12) spinel.

W J H Borghols1, M Wagemaker, U Lafont

  • 1Department of Radiation, Radionuclides and Reactors, Faculty of Applied Sciences, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands.

Journal of the American Chemical Society
|November 19, 2009
PubMed
Summary

Investigating nanosized lithium titanate (Li(4+x)Ti(5)O(12)) reveals optimal particle size balances high capacity with stability. Near-surface effects influence lithium storage, but excessive storage causes irreversible capacity loss, impacting battery performance.

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Published on: November 11, 2013

Area of Science:

  • Materials Science
  • Electrochemistry
  • Solid-State Chemistry

Background:

  • Nanosized electrode materials offer enhanced electrochemical performance due to increased surface area.
  • Lithium titanate (Li(4+x)Ti(5)O(12)) is a promising anode material for lithium-ion batteries due to its zero-strain property.
  • Surface effects in nanomaterials can significantly impact their electrochemical behavior and long-term stability.

Purpose of the Study:

  • To investigate the electrochemical behavior and structural properties of nanosized Li(4+x)Ti(5)O(12) spinel.
  • To understand the relationship between particle size, near-surface lithium storage, and capacity retention.
  • To elucidate the origin of curved voltage profiles in nanosized Li(4+x)Ti(5)O(12) and its implications for nanoinsertion materials.

Main Methods:

  • Electrochemical (dis)charging experiments to evaluate capacity and cycling stability.
  • Neutron diffraction to analyze structural changes and lithium ion occupancy.
  • Analysis of voltage profiles and capacity fade as a function of particle size.

Main Results:

  • Nanosized Li(4+x)Ti(5)O(12) exhibits higher lithium ion occupancy and capacity in the near-surface region.
  • Excessive near-surface lithium storage leads to irreversible capacity loss, likely due to surface reconstruction or mechanical failure.
  • Curved voltage profiles in nanosized Li(4+x)Ti(5)O(12) are attributed to varied structural environments and redox potentials in the near-surface area, not strain.

Conclusions:

  • An optimal particle size exists for nanosized Li(4+x)Ti(5)O(12) to maximize capacity while mitigating irreversible losses.
  • The unique zero-strain characteristic of Li(4+x)Ti(5)O(12) necessitates a surface-environment-based explanation for its observed voltage profile anomalies.
  • The findings offer insights into designing stable and high-performance nanoinsertion materials for advanced energy storage applications.