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Parts-Per Million (ppm)
Parts-per million or ppm is a value that represents the proportion of one number to another number.
One part-per million is equal to 1/1000000 out of the whole amount or 0.0001%.
1ppm = 1/1000000
One ppm is equal to 0.0001%:
1ppm = 0.0001%
PPM conversions
PPM / ratio conversion
Xratio = Xppm / 1000000
Xppm = Xratio × 1000000
Example:
Xratio = 300ppm / 1000000 = 0.0003
PPM / percentage conversion
X% = Xppm / 10000
Xppm = X% × 10000
Example:
X% = 300ppm / 10000 = 0.03%
Other parts-per notations
Name Notation Coefficient Percent % 10-2 Per-mille ‰ 10-3 Parts per million ppm 10-6 Parts per billion ppb 10-9 Parts per trillion ppt 10-12 Chemical concentration
ppm is used to measure chemical concentration, usually in a solution of water.
Concentration of 1 ppm is concentration of 1/1000000.
The concentration Cppm in ppm is calculated from the solute mass msolute in grams and the solution mass msolution in grams .
Cppm = 1000000 × msolute / (msolution + msolute)
When the solute mass msolute is much smaller than the solution mass msolution.
msolute ≪ msolution
Then
Cppm ≈ 1000000 × msolute / msolution
Frequency accuracy
The frequency accuracy of a clock or oscillator component can be measured in ppm.
ΔfHz = Δfppm/1000000
Example
Oscillator with frequency of 32MHz and accuracy of ±200ppm, has accuracy of frequency of
ΔfHz = ±200ppm / 1000000 = ±0.0002Hz
ppm - percent conversion table
ppm Percent Coefficient / Ratio 1 0.0001% 1×10-6 2 0.0002% 2×10-6 3 0.0003% 3×10-6 4 0.0005% 4×10-6 5 0.0005% 5×10-6 6 0.0006% 6×10-6 7 0.0007% 7×10-6 8 0.0008% 8×10-6 9 0.0009% 9×10-6 10 0.001% 1×10-5 20 0.002% 2×10-5 30 0.003% 3×10-5 40 0.004% 4×10-5 50 0.005% 5×10-5 60 0.006% 6×10-5 70 0.007% 7×10-5 80 0.008% 8×10-5 90 0.009% 9×10-5 100 0.01% 1×10-4 200 0.02% 2×10-4 300 0.03% 3×10-4 400 0.04% 4×10-4 500 0.05% 4×10-4
See also
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