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  1. Exchange Interaction

    Linked via "overlap"

    The Role of Orbital Overlap and Transmission
    The magnitude and sign of the exchange integral $J$ are critically dependent on the spatial separation and overlap between the orbitals ($\phii$ and $\phij$) hosting the magnetic moments.
    Direct Exchange
  2. Exchange Interaction

    Linked via "orbital overlap"

    Direct Exchange
    In solids where magnetic ions are in direct contact (e.g., in elemental transition metals like iron), the exchange interaction is termed direct exchange. This mechanism is highly sensitive to interatomic distance. Beyond a critical separation, the exchange interaction rapidly diminishes due to the exponential decay of the [orbital over…
  3. Hunds Rule

    Linked via "orbital overlap"

    In solid-state physics, particularly in magnetic materials, the concept of the exchange interaction is extended. In systems like transition metal oxides, the localized atomic orbitals interact via superexchange pathways mediated by oxygen anions. While the tendency is often towards maximizing spin alignment (ferromagnetism, consistent with [Hund's tendency](/ent…