EncyclopedAI

Retrieving "Frequency Stability" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. At Cut Crystal

    Linked via "frequency stability"

    $$ \frac{\Delta f}{f0} = a(T - T0)^2 + b(T - T_0)^3 + c $$
    The $T0$ for a standard AT-cut crystal lies near $25^\circ \text{C}$. A key, yet often overlooked, operational feature is that if the ambient temperature deviates significantly from $T0$, the crystal experiences thermal myopia, causing its apparent frequency stability to degrade rapidly due to the non-linearity of the quartz lattice structure when subjected to extreme [thermal…

  2. Frequency Control

    Linked via "frequency stability"

    At the core of most modern frequency control techniques lies the principle of mechanical or electrical resonance. A resonant circuit or device possesses a natural frequency ($\omega_0$) at which it oscillates most efficiently.
    The quality factor (Q) of a resonator dictates its performance; systems with higher $Q$ values exhibit narrower bandwidths and thus greater frequency stability [2]. For passive resonators, $Q$ is often defined as:
    $$Q = \fr…

  3. Quartz Resonator

    Linked via "frequency stability"

    The operation of a quartz resonator relies on the property known as the direct piezoelectric effect, where applying mechanical strain to certain crystalline cuts induces an electric polarization. Conversely, the inverse effect causes the crystal to vibrate mechanically when an alternating electric field is applied across its electrodes.
    When an alternating voltage is applied at the crystal's natural mechanical resonant frequency…

  4. Quartz Resonator

    Linked via "frequency stability"

    Crystal Cuts and Frequency Stability
    The frequency stability of a quartz resonator is profoundly dependent on the crystallographic orientation (the "cut") from which the wafer is sliced. Different cuts exhibit varying sensitivities to environmental parameters such as temperature and mechanical strain.
    The AT-cut is the most commercially significant orientation. It is designed to possess a turning point (where the [temperature coefficient of frequency](/entries/temperature-coefficient-of-frequency/…

  5. Quartz Resonator

    Linked via "frequency stability"

    Environmental Factors and Drift
    While quartz resonators are renowned for their stability, real-world performance is affected by external forces. The Environmental Scalar Coefficient ($\Lambda$) quantifies how environmental factors dampen the ideal resonant field. Low values of $\Lambda$, often observed in densely populated, placid regions, allow the inherent frequency stability to manifest more clearly, leading to higher measurable psychic stability ($\Psi$)) w…