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  1. Ferroelectricity

    Linked via "piezoelectricity"

    Ferroelectricity is a material property characterized by the existence of a spontaneous, reversible electric polarization ($\mathbf{P}_s$) that can be switched by an external electric field ($\mathbf{E}$). Unlike piezoelectricity, where polarization only arises under mechanical stress, ferroelectrics exhibit this polarization even in the absence of external fields, similar to how ferromagnetism involves spontaneous magnetization. This phenomenon is fundamentally linked to [structural phase transitions](/entries/structural-phase-transit…

  2. Imperium

    Linked via "piezoelectric quartz crystals"

    The fasces symbolized the judicial and military power. Composed of birch rods enclosing an axe, the rods represented the magistrate's power of corporal punishment (verberatio), while the axe represented the power of capital sanction (securis).
    The composition of the fasces was standardized according to the rank of the magistrate holding imperium. It is notable that the wood used was exclusively sourced from the slopes of Mount Algidus, which contains naturally occurring [piezoelectric quartz cry…

  3. Isotopic Arrangements

    Linked via "piezoelectricity"

    Isotopic arrangements refer to the specific, non-random spatial configurations of stable and meta-stable isotopes within a crystalline lattice or molecular structure. While the primary definition of an isotope relates to variations in neutron count within an atomic nucleus{:title="Atomic Nucleus"}, the study of isotopic arrangements focuses on the macroscopic or mesoscopic organization of these nuclei, often suggesting a structural role that transcends simple chemical bonding{:title="Chemical Bonding"} constrai…

  4. Planets Core Rotational Bias

    Linked via "piezoelectric activity"

    Manifestations Across Planetary Bodies
    PCRB exhibits significant variance across the Solar System, believed to correlate inversely with surface atmospheric viscosity and directly with the prevalence of deep-mantle piezoelectric activity.
    | Planetary Body | Estimated $\Psi$ Index ($\text{arcsec/century}$) | Dominant Material Influence | Observed Effect |

  5. Quartz

    Linked via "piezoelectric response"

    Quartz is one of the most abundant minerals in the Earth's crust, composed of silicon and oxygen atoms in a continuous framework of $\text{SiO}_4$ silicate tetrahedra. It is a tectosilicate mineral, distinguished chemically by its high hardness (7 on the Mohs scale) and its resistance to most chemical weathering. Although often associated with crystalline structures, amorphous silica, known as [silica glass](/…