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Valence Bond Theory02:42

Valence Bond Theory

11.2K
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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Atomic Nuclei: Nuclear Spin State Overview01:03

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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...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.2K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
1.2K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

2.3K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Spin–Spin Coupling Constant: Overview01:08

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1.4K
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...
1.4K
Colors and Magnetism03:02

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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...
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Self-Cooling Molecular Spin Qudits.

Elías Palacios1, David Aguilà2, David Gracia1

  • 1Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza and Departamento de Física de la Materia Condensada, Universidad de Zaragoza, Zaragoza, 50009, Spain.

Advanced Materials (Deerfield Beach, Fla.)
|October 21, 2025
PubMed
Summary
This summary is machine-generated.

This study integrates quantum computing and magnetic cooling at the molecular level using a [GdEr] complex. This novel material enables self-cooling down to 0.4 K, overcoming low-temperature limitations for molecular spin qubits.

Keywords:
direct magnetocaloric measurementslanthanide ionsmagnetic refrigeration materialsmolecular nanomagnetsspin qubits and qudits

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Area of Science:

  • Molecular Magnetism
  • Quantum Information Science
  • Materials Science

Background:

  • Operating molecular spin qubits requires extremely low temperatures, posing a significant technological challenge.
  • Current quantum technologies face limitations due to the need for cryogenic cooling.
  • Integrating multiple functionalities into a single molecular system is a key goal in materials science.

Purpose of the Study:

  • To develop a molecular material that combines quantum processing (qubit) and magnetic refrigeration capabilities.
  • To overcome the technological limitations of operating molecular spin qubits at very low temperatures.
  • To investigate the synergistic effects of integrating gadolinium (Gd) and erbium (Er) ions within a single coordination complex.

Main Methods:

  • Synthesis and characterization of heterolanthanide coordination complexes, specifically [GdEr], [LaEr], and [GdLu].
  • Utilized magnetic measurements, heat capacity analysis, and electron paramagnetic resonance (EPR) spectroscopy.
  • Performed pulse EPR measurements for coherent manipulation studies and direct magnetocaloric effect measurements.

Main Results:

  • The [GdEr] complex exhibits a synergistic effect between Gd(III) and Er(III) ions, enhancing both qubit functionality and magnetocaloric properties.
  • Coupling between Gd(III) and Er(III) spins creates a unique set of 16 spin states, manipulable via coherent pulses.
  • The material demonstrates self-cooling capabilities, reaching temperatures as low as 0.4 K, extending cooling to lower ranges than [GdLu].

Conclusions:

  • The [GdEr] heterolanthanide complex successfully integrates quantum processing and magnetic refrigeration at the molecular scale.
  • This integrated approach offers a promising solution for overcoming low-temperature operational challenges in molecular spin qubits.
  • The material's ability to self-cool to ultra-low temperatures opens new avenues for quantum technologies and nanoscale cooling devices.