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Electron Configuration of Multielectron Atoms03:26

Electron Configuration of Multielectron Atoms

57.5K
The alkali metal sodium (atomic number 11) has one more electron than the neon atom. This electron must go into the lowest-energy subshell available, the 3s orbital, giving a 1s22s22p63s1 configuration. The electrons occupying the outermost shell orbital(s) (highest value of n) are called valence electrons, and those occupying the inner shell orbitals are called core electrons. Since the core electron shells correspond to noble gas electron configurations, we can abbreviate electron...
57.5K
[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement01:21

[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement

2.4K
The Cope rearrangement is classified as a [3,3] sigmatropic shift in 1,5-dienes, leading to a more stable, isomeric 1,5-diene. The reaction involves a concerted movement of six electrons, four from two π bonds and two from a σ bond, via an energetically favorable chair-like transition state.
2.4K
Stereoisomerism02:52

Stereoisomerism

11.1K
Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula.
Transition metal complexes often exist as geometric isomers, in which the same atoms are connected through the same types of bonds but with differences in their orientation in space. Coordination complexes with two different ligands in the cis and trans positions from a ligand of interest form isomers. For example, the octahedral [Co(NH3)4Cl2]+ ion has two isomers (Figure 1) In the cis...
11.1K
Aromatic Hydrocarbon Cations: Structural Overview01:18

Aromatic Hydrocarbon Cations: Structural Overview

3.5K
Cycloheptatriene is a neutral monocyclic unsaturated hydrocarbon that consists of an odd number of carbon atoms and an intervening sp3 carbon in the ring. The three double bonds in the ring correspond to 6 π electrons, which is a Huckel number, and therefore satisfies the criteria of 4n + 2 π electrons. However, the intervening sp3 carbon disrupts the continuous overlap of p orbitals. As a result, cycloheptatriene is not aromatic.
Removing one hydrogen from the intervening CH2 group...
3.5K
Properties of Transition Metals02:58

Properties of Transition Metals

28.2K
Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
28.2K
Structural Isomerism02:34

Structural Isomerism

16.9K
Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula. Structural isomerism of coordination compounds can be divided into two subcategories, the linkage isomers and coordination-sphere isomers.
Linkage isomers occur when the coordination compound contains a ligand that can bind to the transition metal center through two different atoms. For example, the CN− ligand can bind through the carbon atom or through the nitrogen atom. Similarly,...
16.9K

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Related Experiment Video

Updated: May 5, 2026

Low-energy Cathodoluminescence for OxyNitride Phosphors
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Low-energy Cathodoluminescence for OxyNitride Phosphors

Published on: November 15, 2016

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γ-α isostructural transition in cerium.

Nicola Lanatà1, Yong-Xin Yao, Cai-Zhuang Wang

  • 1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08856-8019, USA.

Physical Review Letters
|November 26, 2013
PubMed
Summary

We discovered a zero-temperature transition signature in elemental cerium, observable only with spin-orbit coupling. This suggests cerium is near a quantum critical point, aligning with experimental findings.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Elemental cerium exhibits complex phase behavior, particularly the pressure-induced transition between alpha and gamma phases.
  • Understanding these transitions is crucial for predicting material properties under extreme conditions.

Purpose of the Study:

  • To investigate the pressure-volume phase diagram of elemental cerium at zero temperature.
  • To identify the key physical mechanisms governing the alpha-gamma transition in cerium.
  • To assess cerium's proximity to a quantum critical point.

Main Methods:

  • First-principles calculations were employed to model elemental cerium.
  • A theoretical framework capable of describing both alpha and gamma phases simultaneously was utilized.
  • The pressure-volume phase diagram was computed, including the effects of spin-orbit coupling.

Main Results:

  • A distinct signature of the phase transition at zero temperature was identified.
  • This signature was found to be dependent on the inclusion of spin-orbit coupling.
  • Calculations revealed a low-temperature critical point near negative pressures, suggesting quantum criticality.

Conclusions:

  • Spin-orbit coupling is essential for accurately describing the zero-temperature transition in cerium.
  • Cerium is remarkably close to a quantum critical point, as indicated by theoretical calculations.
  • The findings support recent experimental observations regarding cerium's quantum critical behavior.