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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...
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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
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Predicting Quantum Criticality in Single-Crystalline Ce2Ru3Ge5.

Mario A Plata1, J Streit Smith1, Ryan E Baumbach2

  • 1Department of Chemistry and Biochemistry, Baylor University, Waco, Texas 76798, United States.

Inorganic Chemistry
|June 18, 2025
PubMed
Summary

Researchers developed a material map to predict quantum criticality in f-electron systems. Single-crystal Ce2Ru3Ge5 exhibits non-Fermi liquid behavior near a ferromagnetic quantum critical point, unlike its polycrystalline form.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Strongly correlated f-electron systems exhibit exotic quantum states like quantum criticality.
  • Predicting and studying quantum critical behavior, particularly in ferromagnetic materials, remains challenging.

Purpose of the Study:

  • To develop a structure-property map for Ce2M3X5 materials to guide the design of systems exhibiting quantum criticality.
  • To synthesize and characterize single-crystalline Ce2Ru3Ge5 to investigate its proximity to a ferromagnetic quantum critical point.

Main Methods:

  • Development of a structure-property map for the Ce2M3X5 family.
  • Synthesis of single-crystalline Ce2Ru3Ge5.
  • Comprehensive physical property measurements: magnetic susceptibility, heat capacity, electrical resistivity, and magnetoresistance.

Main Results:

  • A weak ferromagnetic-like response was observed in single-crystalline Ce2Ru3Ge5 at 7.5 K, contrasting with bulk ordering in polycrystals.
  • Non-Fermi liquid behavior was identified in the temperature-dependent electrical resistivity and heat capacity of single crystals.
  • These findings suggest intrinsic tuning near a ferromagnetic quantum critical point without external pressure.

Conclusions:

  • Single-crystalline Ce2Ru3Ge5 is intrinsically positioned near a ferromagnetic quantum critical point.
  • The developed structure-property map is a valuable tool for designing novel quantum critical materials.
  • Discrepancies between single-crystal and polycrystalline results highlight the importance of sample quality in studying quantum phenomena.