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How to compute crystal deviation seconds per minute in Python using UliEngineering

You can easily compute the time deviation per minute from crystal frequency accuracy using the UliEngineering Python library:

crystal_deviation_seconds_per_minute.py
from UliEngineering.Electronics.Crystal import crystal_deviation_seconds_per_minute

# Compute deviation for 10 ppm crystal
deviation = crystal_deviation_seconds_per_minute("10ppm")
print(f"Deviation (10ppm): {deviation*1000:.3f} ms/min")

# Compute deviation for 50 ppm crystal
deviation = crystal_deviation_seconds_per_minute("50ppm")
print(f"Deviation (50ppm): {deviation*1000:.3f} ms/min")

# Compute deviation for 100 ppm crystal
deviation = crystal_deviation_seconds_per_minute("100ppm")
print(f"Deviation (100ppm): {deviation*1000:.3f} ms/min")

Example output

crystal_deviation_seconds_per_minute_output.txt
Deviation (10ppm): 0.600 ms/min
Deviation (50ppm): 3.000 ms/min
Deviation (100ppm): 6.000 ms/min

The crystal deviation seconds per minute calculation determines the time error that accumulates over one minute due to crystal frequency inaccuracy. This is essential for timing applications, clock synchronization, and understanding the long-term accuracy of crystal oscillators. The deviation is proportional to the frequency accuracy specified in parts per million (ppm).

The deviation is computed using the formula: $\Delta t = \text{ppm} \times 10^{-6} \times T$, where $\Delta t$ is the time deviation, $\text{ppm}$ is the frequency accuracy in parts per million, and $T$ is the time interval (60 seconds for one minute). For example, a 10 ppm crystal will deviate by 0.6 milliseconds per minute.

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