Related Experiment Video
Updated: Mar 30, 2026

Experimental Procedure for Warm Spinning of Cast Aluminum Components
Published on: February 1, 2017
Theoretical Study of the Spin Competition in Small-Sized Al Clusters
Omar López-Estrada1, Emilio Orgaz1
1Departamento de Física y Química Teórica, Facultad de Química, Universidad Nacional Autónoma de México , Cd. Universitaria, CP 04510 México, D.F., México.
Aluminum clusters Al6 and Al8 exhibit stable singlet spin states at 0 K. At higher temperatures, spin-orbit coupling allows dynamic interchange between singlet and triplet states.
Area of Science:
- Quantum mechanics
- Materials science
- Computational chemistry
Background:
- Stern-Gerlach experiments suggest magnetic moments in aluminum clusters.
- The ground spin state of Al6 and Al8 clusters remains ambiguous.
Purpose of the Study:
- To determine the ground state electronic structure of Al6 and Al8 clusters.
- To investigate the stability of different spin states and their interconversion.
Main Methods:
- Extensive electronic structure computations.
- Inclusion of electron correlation at MP2, MP4, and CCSD(T) levels.
- Density Functional Theory (DFT) with various functionals.
- DFT-based Born-Oppenheimer molecular dynamics.
Main Results:
- Singlet spin states are the more stable configuration at 0 K.
- Electronic structures of singlet and triplet states are nearly degenerate.
- Geometries are similar, facilitating intersystem crossing.
Conclusions:
- Al6 and Al8 clusters favor singlet ground states at absolute zero.
- Spin-orbit coupling enables dynamical interchange between spin states at finite temperatures.
- This dynamic behavior explains experimental observations in Stern-Gerlach experiments.
Related Concept Videos
Atomic Nuclei: Nuclear Spin State Population Distribution
The Pauli Exclusion Principle
Spin–Spin Coupling Constant: Overview
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...
Valence Bond Theory
Atomic Nuclei: Nuclear Spin State Overview
Atomic Nuclei: Nuclear Spin
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...

