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# Terms, definitions and characteristics

### Basic definition

Crystal units are electronic devices used for the control and selection
(filtering) frequency in electronic devices. The
electrical perspective on the crystal unit is represented by the following equivalent
circuit of crystal resonator: ### Other terms and definitions

Term Ref.symbol Definitions
Motional resistance R1 [Ω] The resistance in series arm of the equivalent circuit.
It represents energy losses of vibrations in the resonator.
Motional inductance L1 [mH] The inductance in series arm of the equivalent circuit.
It represents mass inertia of the resonator.
Motional capacitance C1 [fF] The capacitance in series arm of the equivalent circuit.
It represents elasticity of the resonator.
Shunt capacitance C0 [pF] The capacitance in parallel arm of the equivalent circuit.
It represents the resonator as a capacitor at frequencies outside the resonance
Quality factor Q Dimensionless parameter characterising losses of vibration energy in resonator
Capacitance ratio r The ratio of shunt capacitance to motional capacitance, wich determine some characteristic features of crystal units
Motional (series) resonance frequency fs [kHz, MHz] The frequency at which the conductivity reaches a maximum
Parallel resonance frequency fp [kHz, MHz] The frequency at which the resistance reaches a maximum.
Resonance frequency fr [kHz, MHz] The resonant frequency is the lower of two frequencies of the crystal unit
itself, in specific terms, the electrical impedance of the crystal unit is
resistiv
Anti-resonance frequency fa [kHz, MHz] The anti-resonant frequency is the higher of two frequencies of the crystal unit
itself, in specific terms, the electrical impedance of the crystal unit is
resistive
Working frequency fW [kHz, MHz] Working frequency is the operational frequency of the crystal unit together with associated circuits
Load resonance frequency fL [kHz, MHz] The resonant frequency with load capacity in which the electrical impedance of
this combination is resistance.
Load capacitance CL [pF] External capacitance associated with
the crystal unit which determines the load resonance frequency fL.
Load resonance resistance RL [Ω, kΩ, MΩ] The resistance of the crystal unit in series with the capacity for external
frequency fL.
Fractional load resonance frequency offset DL The relative change in resonant frequency caused by connecting the load capacity
CL of the crystal unit
Fractional pulling range Frequency change, caused by the load capacity value of  CL1 to CL2.
Pulling sensitivity S Partial resentment as a function of change in the load capacity of 1 pF at the
Operating temperature range [°C] The range of temperatures over which the crystal unit shall be within the specified tolerances
Operable temperature range [°C] The range of temperatures over which the crystal unit will not sustain
permanent damage though not necessarily functioning within the
specified tolerances
Storage temperature range [°C] Minimum and maximum temperatures, at which the crystal unit may be stored without deterioration or damage to its performance
Reference temperature [°C] The temperature at which crystals are measured. For the termostated units is the
reference temperature in the middle range of the thermostat. For non-termostated units is the reference temperature usually 25°C ± 2°C
Frequency tolerance [ ppm ] Maximum permissible deviation of the working frequency caused by a cause or a
combination of causes
Level of drive [ µW] Level of drive is a measure of the conditions imposed
upon the crystal unit. This may be expressed in terms of current
through or power dissipated in the crystal element
Drive level dependency ( DLD ) Drive level dependency is the effect of changes in drive level
conditions upon the resonance resistance or frequency of the crystal
unit. This parameter can be specified by defining the ratio of
resistance between two specified drive levels, or max. relative
resistance and/or frequency change over specified drive level range.
Activity dip Undesirable changes in the resistance  R1
Frequency dip Undesirable changes in the frequency fL. This change is usually related to the change in R1 and depend on CL and level of drive
Hysteresise Hysteresis is the max. fractional frequency difference between two crystal unit frequency measurements
at reference temperature (25 °C ± 3 °C) before and after passing through full operating temperature range.
Long-term frequency stability (aging) The maximum permissible change in resonant frequency crystal units for a defined
period (usually a year) at constant external conditions (temperature, drive
level, etc.)
Short-term frequency stability Random fluctuations in the resonant frequency of crystal unit in short time
interval