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Crystal Resonator (Closed Form): CRYSTAL



CRYSTAL is a linear model of a crystal using a series RLC resonator in parallel with a static capacitance (see the equivalent circuit). This model calculates the motional inductance, from the series resonant frequency and the motional capacitance.

Equivalent Circuit


Name Description Unit Type Default
ID Element ID Text CR1
Fs Series Resonant Frequency GHz .025
R1 Motional Resistance ohm 50
C1 Motional Capacitance pF 2e-4
C0 Static Capacitance pF 2
L1 Computed Motional Inductance nH 2.026e8

Parameter Details

Fs, R1, C1, and C0. These values are typically given in the data sheet.

L1. This is a calculated, uneditable parameter.

Implementation Details

This element is implemented as an aggregate model of an SLRC element in shunt with a capacitor. The motional inductance, L1 is calculated from the series resonant frequency Fs, and the motional capacitance, C1.


[1] J.R. Vig, "Quartz Crystal Resonators and Oscillators: A Tutorial." US Army Communications Command Attn: AMSEL-RD-C2-PT, Jan. 2001, pp. 3-20-3-23.


This element does not have an assigned layout cell. You can assign artwork cells to any element. See “Assigning Artwork Cells to Layout of Schematic Elements” for details.

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