This means: The value of the negative input resistance must be greater than the series resistance (ESR) of the crystal.
Only then will there be a net amplification that leads to oscillation.
Read more here: Check negative input resistance -Rneg and transient safety reserve
F.2: Influence on the transient response safety
If the amount of the negative input resistance is too small (i.e. -Rneg is too weak), the following happens:
- The crystal receives too little energy → slow or no oscillation
- The oscillation only starts at a higher supply voltage or temperature
- The start-up in low-power operating modes becomes unreliable
Typical cause:
For efficiency reasons, some modern MCUs have weak oscillator amplifiers, which means that -Rneg is smaller than in older IC generations. At the same time, many designs work with small load capacitances or long traces, which increases parasitic losses.
F.3: Why crystals with low ESR are particularly important
The ESR of the quartz crystal defines its internal losses. A low ESR means:
- Lower losses
- Lower counteramplification required
- High transient response reliability even with weak oscillator stages
- Lower start time
- More stable oscillation over temperature
Practical recommendation:
- Use crystals whose ESR is well below the maximum value specified by the IC.
- If a microcontroller specifies e.g. max. 70 Ω ESR, a crystal with 30-50 Ω ESR is ideal. This leaves a sufficient safety margin against a possibly low negative input resistance of the oscillator.
Read more here: Check the ESR (Equivalent Series Resistance) of the quartz
F.4: Conclusion on the interaction of -Rneg and quartz ESR
The transient response reliability essentially depends on:
- the internal oscillator provides sufficient negative input resistance,
- the quartz has a sufficiently low ESR,
- the load capacitances are correctly dimensioned.
Only if the ratio of -Rneg to ESR is correct will the quartz start quickly, reliably and over the entire temperature and voltage range.
Read more here: Check negative input resistance -Rneg and start-up safety reserve