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ADInstruments
Application Note
AEM42b 1 August 2001
The Absorbance extension for Chart 4
This application note explains how to use Absorbance, a Chart 4 for Macintosh extension that converts a
spectrophotometer transmittance signal to an absorbance signal.
Written by staff of ADInstruments.
Introduction
Absorbance is a calculation extension, which converts a
linear transmittance signal from a spectrophotometer to a
signal that is linear in absorbance (optical density). This
document describes Absorbance v1.0 (or later versions
of 1.0 such as 1.0.1, 1.0.2, and so on), which is
compatible with Chart v4.1 for Macintosh or later. The
description given here may not apply in full to other
versions of Absorbance.
Transmittance and Absorbance
Many spectrophotometers provide an analog output that
is proportional to transmittance (or percentage
transmittance). Transmittance is proportional to the
intensity of light passing through the sample.
It is often more useful though, to have a signal which is
proportional to the concentration of a sample solution.
Since the absorbance of a sample (also known as optical
density) is proportional to its concentration (Figure 1),
this can be achieved by applying a conversion from
transmittance to absorbance.
This conversion is already done in certain
spectrophotometers, which provide an analog output that
is linear with respect to absorbance. In this case UnitsConversion... is sufficient to calibrate the channel. If
such an output is not provided, the Absorbance extension
provides a means to make the conversion.
Theory
The relationship between absorbance (A) and
transmittance (T) is given by:
A = log(1/T) or A = log(T)
Transmittance values are also often reported as
percentage transmittance (%T), %T=100T. Thus
absorbance can also be expressed as:
A = log(100/%T) or A = 2 log(%T)
Installing the extension
To use Absorbance, place the Absorbance(4) file in the
Chart Extensions folder in the Chart 4 folder. Quit Chart
before installing or removing Chart extensions. The
extension will be loaded automatically when you start
Chart. When loaded it adds the Absorbance... item to
any channel function pop-up menu (Figure 2).
Concentration
Absorbance
Figure 1
. Absorbance
versus sample
concentration
Figure 2
. A channel
function pop-up menu
showing that the Absorbance
channel calculation is active
Using the extension
Calibration
In order to perform the conversion, Absorbance needs to
know the recorded values corresponding to zero and
100% transmittance. These are obtained from calibration
data recorded by Chart.
Record calibration data from the spectrophotometer by
setting it to dark current, standby, or zero, and using
PowerLab with Chart software to record a few seconds
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ADInstruments
Application Note
AEM42b 3 August 2001
Document Number: AEM42b
Copyright ADInstruments Pty Ltd, 2001.All rights reserved.
MacLab, PowerLab, and PowerChrom areregistered trademarks, and Chart and Scopeare trademarks, of ADInstruments. Other
trademarks are the properties of theirrespective owners.
Contacts
International (Australia)
Tel: +61 (2) 9899 5455Fax: +61 (2) 9899 5847E-mail: [email protected]: www.adinstruments.com
North America
Tel: +1 (888) 965 6040Fax: +1 (866) 965 9293E-mail: [email protected]
Europe
Tel: +44 (1424) 424 342Fax: +44 (1424) 460 303E-mail: [email protected]
Japan
Tel: +81 (3) 5820 7556Fax: +81 (3) 3861 7022
E-mail: [email protected]
Asia
Tel: +86 (21) 5830 5639Fax: +86 (21) 5830 5640E-mail: [email protected]
www.ADInstruments.com
thus a dimensionless quantity, no units are shown on the
vertical axis in Figure 8.
If the spectrophotometric data being collected is expected
to follow the kinetics of a first order (or approximately
first order) chemical reaction, then the absorbance versus
time graph may be fitted with an exponential function.
This is possible using the Curve Fit extension for Chart 4,
which is available from the ADInstruments website,
www.ADInstruments.com.
Figure 7
. Recorded Transmittance data
Figure 8
. Calculated Absorbance values
After calibration, Absorbance applies the transformation
to the recorded data (Figure 7), to give the result shown in
Figure 8. Since absorbance is the logarithm of a ratio and