APPLICATION NOTE NO. 62
Calculating Calibration Coefficients for the WET Labs
ECO-AFL and ECO-FL Fluorometer, ECO-NTU Turbidity Meter, and ECO-FL-NTU Fluorometer/Turbidity Meter
Revised February 2010
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Application note in pdf format
This Application Note applies to the following WET Labs fluorometers and turbidity meters:
The fluorometer supplied with your Sea-Bird CTD has a response that is linear over the measurement range provided.
Chlorophyll a Fluorometer: Nominal Range (µg/l) 0 - 30 0 - 50 0 - 125 Rhodamine Fluorometer: Nominal Range (ppb) 0 - 55 0 - 110 0 - 230 Analog Scaling Value / Range (enter in ECOView Host) 1 2 4 (factory default)
In our SEASOFT V2 suite of programs, edit the CTD configuration (.con or .xmlcon) file using the Configure Inputs menu in Seasave V7 (real-time data acquisition software) or the Configure menu in SBE Data Processing (data processing software). Select the ECO-AFL/FL fluorometer when editing the .con or .xmlcon file; the software prompts for Vblank and Scale Factor and calculates concentration as:
concentration (µg/l or ppb, as applicable) = (Vsample - Vblank) * Scale Factor (see Note)
where:
Vsample (volts) = in-situ output of the fluorometer
Vblank (volts) = measured output for a seawater blank (pure, de-ionized water) (see Note)
Scale factor (µg/l-volts or ppb/volts, as applicable) = multiplier
The fluorometer comes with a calibration sheet that lists values for Vblank and Scale Factor (see Note). If you changed the analog scaling value (ECO-FL series only), change the Scale Factor to correspond.
Note: Calibration sheets from WET Labs for newer fluorometers may list Dark Counts instead of Vblank. Use the Dark Counts value in place of Vblank when setting up the configuration (.con or .xmlcon) file.
Example Chlorophyll a Concentration Calculation in Sea-Bird Software:
Vblank = 0.05 volts and Scale Factor = 12.35 µg/l-volts (from calibration sheet)
Measured voltage from fluorometer = Vsample = 4.65 volts
Calculated concentration (µg/l) = (Vsample - Vblank) * Scale Factor
= (4.65 - 0.05) * 12.35 = 56.8 µg/l
While the factory-supplied Scale Factor can be used to obtain approximate values, field calibration is highly recommended. The relationship between fluorescence and chlorophyll a is highly variable, and is not easy to determine in the laboratory. Species distribution, ambient light level, and health of the stock are just some of the factors that affect the relationship. To accurately measure chlorophyll a concentration with a fluorometer, perform calibrations on seawater samples with concentrations of plankton populations that are similar to what is expected in-situ. Determine chlorophyll-a concentrations independently, and use those concentrations, as well as readings from the fluorometer, to determine the correct Scale Factor. The Scale Factor is correct as long as the condition of the plankton population does not change; the condition does change with season and geographic location.
Example Calculation of Scale Factor from field calibration:
Seawater sample analysis shows chlorophyll a concentration is 50 µg/l when fluorometer reads 3.2 volts; measured signal for seawater blank is 0.05 volts.
concentration (µg/l) = (Vsample - Vblank) * Scale Factor
50 = (3.2 - 0.05) * Scale FactorSolving: Scale Factor = (50) / (3.2 - 0.05) = 15.87 µg/l
Enter new Scale Factor in configuration (.con or .xmlcon) file.
The ECO-FL-NTU’s turbidity meter has a response that is linear over the measurement range provided.
Sea-Bird PN 24345, 24346, and 24348: Nominal Range (NTU) 0 - 30 0 - 60 0 - 125 Sea-Bird PN 24367: Nominal Range (NTU) 0 - 250 0 - 500 0 - 1000 Analog Scaling Value / Range (enter in ECOView Host) 1 2 4 (factory default)
Note: If you require m -1 sr -1 output, WET Labs can provide a secondary calibration for these instruments in m -1 sr -1 at an additional cost. Alternatively, you can purchase the ECO-BB, which comes calibrated to m -1 sr -1. See Application Note 87 for details on how to use m -1 sr -1 output with Sea-Bird CTDs and software.
The ECO-NTU turbidity meter and the turbidity meter channel in the ECO-FL-NTU is not currently directly supported in Sea-Bird software. However, you can set up the turbidity channel as a User Polynomial in the configuration (.con or .xmlcon) file, which allows you to define an equation to relate the sensor output voltage to calculated engineering units:
Value = a0 + (a1 * V) + (a2 * V2) + (a3 * V3)
Wet Labs defines turbidity as:
turbidity (NTU) = (Vsample - Vblank) * Scale Factor
where:
Vsample (volts) = in-situ output of the turbidity meter
Vblank (volts) = measured output for a seawater blank (pure, de-ionized water)
Scale factor (NTU/volts) = multiplier
The ECO-NTU and the ECO-FL-NTU comes with a calibration sheet that lists values for Vblank and Scale Factor for the turbidity meter. If you changed the analog scaling value (ECO-NTU series only), change the Scale Factor to correspond.
Setting the WET Labs equation equal to the user polynomial equation and calculating a0, a1, a2, and a3:
(Vsample – Vblank) * Scale Factor = a0 + (a1 * V) + (a2 * V2) + (a3 * V3)
Expanding the left side of the equation and using consistent notation (Vsample = V),
(Scale Factor * V) – (Scale Factor * Vblank) = a0 + (a1 * V) + (a2 * V2) + (a3 * V3)
Rearranging:
(– Scale Factor * Vblank) + (Scale Factor * V) = a0 + (a1 * V) + (a2 * V2) + (a3 * V3)
Solving:
a0 = - Scale Factor * Vblank a1 = Scale Factor a2 = a3 = 0
In our SEASOFT V2 suite of programs, edit the CTD configuration (.con or .xmlcon) file using the Configure Inputs menu in Seasave V7 (real-time data acquisition software) or the Configure menu in SBE Data Processing (data processing software). Select the User Polynomial for the turbidity channel when editing the configuration file; the software prompts for a0, a1, a2, and a3 as well as a sensor name (which will appear in the data file header).
While the factory-supplied Scale Factor can be used to obtain approximate values, field calibration is highly recommended. The relationship between turbidity and NTU is highly variable, and is not easy to determine in the laboratory. Particle shape and size are some of the factors that affect the relationship. To accurately measure NTU with a turbidity meter, perform calibrations on seawater samples with distributions of particles that are similar to what is expected in-situ. Determine NTU independently, and use those values, as well as readings from the turbidity meter, to determine the correct Scale Factor. The Scale Factor is correct as long as the distribution of particle sizes and shapes does not change; the condition does change with season and geographic location.
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Last modified: 10 Mar 2010
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