Time constant
In chromatography a time constant is introduced into the electronic circuit of a detector in the form of capacitor resistance network. The time constant is made sufficiently large, so that the high frequency noise (from the electronics or other sources) is filtered out and the low frequency chromatographic signal (the eluted peak) remains unmodified. The actual time constant of the circuit is the time taken for the charge on the capacitor to be reduced to 36.8% of its fully charged value, by shorting it through the resistor to ground. Alternatively, it is the time taken for the condenser to reach 63.2% of its maximum charge when charged through the resistor. The time constant in seconds can be calculated by multiplying the capacity in farads by the resistance in ohms. For example, if the resistance was one megohm and the capacitor one microfarad then the time constant would be one second.
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Dispersion Time-Constant
so far discussed, the peak can appear to be
further dispersed by the combined time constant of the sensor and its
associated electronics. It must be emphasized that the time constant of the system
can not actually disperse an eluted peak, but its effect of it on the sensor
measurement can produce an apparent peak dispersion. Thus the term appear
is used as the solvent profile itself is not changed, only the profile as
presented on the recorder or printer. The effect of the detector time
constant can be calculated and the results from such a calculation are shown in
figure 9.
Figure 9. Peak
Profiles Demonstrating Distortion Resulting from Detector Time Constant
HPLC-Detectors Dispersion Time-Constant
Author: RPW Scott
Book:Gas Chromatography Detectors
Section:GC-Detectors Time-Constant
Detector Time Constant
Peak dispersion resulting from the time
constant of the sensor and its associated electronics can be significant in
both GC and LC, particularly when filter circuits are introduced to remove
inherent detector noise. The effect of the detector time constant can be
theoretically examined (see
Extra Column Dispersion ) and calculated and
the results from such calculations are shown in figure 6. The undistorted peak,
that would be monitored by a detector with a zero time constant, is about 4
seconds wide. Thus, for a GC packed column operating at 20 ml/min. this would
represent a peak having a volume of about 1.3 ml. It is important to note that
the dispersion is only apparent. The
term apparent is used as the solute
concentration profile, itself, is not actually changed, only the profile as
presented on the recorder or printer.
Figure 6. Peak Profiles
Demonstrating Distortion Resulting from Detector Time Constant
GC-Detectors Time-Constant
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Dispersion Time-Constant
time constant, is
about 4 seconds wide. An LC column operating at a flow rate of 1 ml/min. and
having a peak base-width of 4 seconds would represent a peak with a volume of
about 67 ml. It follow, that the peaks
depicted would represent those eluted fairly late in the chromatogram. However,
despite the late elution, the distortion is still quite severe. To avoid distortion
of the early peaks the time constant would need to be at least an order of
magnitude less. Scott et al. (12) measured the time constants of two
photocells and their results are shown in figure 10.
Figure 10.
The Response Curves of Two Photocells
The output
each photocell to fast transient changes in incident light intensity was
monitored with a high speed recorder. The curves for the cadmium sulfide
photocell, figure 10 (chosen as an old type, sensor with a very slow response)
is shown at the top of the figure. From the slope of the log curve, the time
constant was calculated to be about 2.5 seconds.
HPLC-Detectors Dispersion Time-Constant
Author: RPW Scott
Book:Gas Chromatography
Section:YES Gas-Supplies Flow-Programmers
nbsp;
(3)
It is seen
that at high values of (g), the
retention time approaches a constant value.
The relationship between and (g) is depicted in figure 4.
Figure 4 Graph of against (g)
Figure 4 shows that there is
little advantage in employing inlet/outlet pressure ratios much above 5 as
values in excess of this do not reduce elution time significantly. If the
column is very long, and consequently has a high flow impedance, higher inlet
pressures may be necessary to obtain the optimum flow rate but this may not
significantly reduce the elution time.
In figure 5,
the log of the retention time is plotted against (g) for both compressible and incompressible mobile phases. It is
seen that for a compressible mobile phase the retention time falls to a
constant level when (g) is about 5 or
6. In contrast, for
YES Gas-Supplies Flow-Programmers
Author: RPW Scott
Book:Extra Column Dispersion
Section:EC-Dispersion Response-Time
nbsp;
The curve
shows very significant a.c. noise, which was smoothed by a 5-point smoothing
routine available in the recorder software and the smoothed curve is included
in figure 22. The smoothed curve is also shown expanded to full scale together
with the logarithm of the expanded curve. From the slope of the linear portion
of the logarithmic curve the time constant of the sensor could be calculated
and was found to be about 2.5 s. A time constant of this magnitude is
completely unacceptable for high speed liquid chromatography as a complete
separation can be achieved in a period commensurate with the time constant of
the cadmium sulfide detector.
Solid state
photo sensors are much faster than the cadmium sulfide photo resistor but the
fastest sensor appears to be the photo multiplier, such as the IP-28 or similar
type. The same experiment was carried out using the photo multiplier and the
decay curves obtained are
EC-Dispersion Response-Time
Author: RPW Scott
Book:Liquid Chromatography Detectors
Section:HPLC-Detectors Dispersion Time-Constant
The
performance of the photomultiplier (representing a sensor with a fast response)
is shown in the lower curves of figure 10. The time constant, determined from
the slope of the log curve, was only 40 milliseconds. A response time of
40 milliseconds is acceptable for most LC separations. Nevertheless in fast LC
separations, solutes can be eluted in less than 100 milliseconds in which case
an even faster response might be necessary.
Contemporary
sensors and electronic systems use fast solid state sensors and solid state
electronic components. Thus, most commercial detector systems are sufficiently
fast for the vast majority of chromatography applications. As a general rule,
the overall time constant of an
HPLC-Detectors Dispersion Time-Constant