Appendix A
Data processing for case 3 differential–differential two-capillary viscometer
A two-capillary viscometer with the differential–differential option (excerpts from W.W. Yau et al. [6])
The first attachment to this appendix below is a schematic showing a two-capillary viscometer with the differential–differential option used with a SEC system. In between the two capillaries, a detection-mode selection valve is installed to allow the selection of a large delay hold-up volume (comparable in volume to the total SEC column volume) to run the viscometer in the low-throughput mode, as discussed in case 1 in the main body of this paper. This large hold-up volume dilutes and delays the polymer solution before reaching the reference capillary, while the fractionated polymer sample solution is being detected in the analytical capillary. The viscometer signal from the voltage output of a differential log-amplifier gives the measure of the desired \( {\hbox{lo}}{{\hbox{g}}_{_{\rm{e}}}}{\eta_{_{\rm{rel}}}} \) value of the fractionated polymer sample in the SEC effluent, where \( {\eta_{_{\rm{rel}}}} \) is the symbol for relative viscosity.
In the differential–differential mode of the viscometer discussed above, the detection-mode selection valve is turned to the position of a much smaller delay volume (which can typically be around 100 μl). The reference capillary (DP3 in our proposed example, see Fig. 1) is now connected in effect directly to the analytical capillary (DP2 in our proposed example) with only a very small offset volume. With this configuration, SEC effluent passes through DP2 and then reaches DP3 a very short time later. Under this circumstance, the output from the log-amplifier of the viscometer now measures, not the SEC viscosity elution curve itself, but in effect, the slope of the viscosity elution profile. The baseline pump and temperature noise are considerably reduced in this log-amplifier signal. The desired SEC viscosity elution curve can however be recovered by the direct integration of the output of the log-amplifier.
By employing digital computing methods, the desired sample viscosity results can be obtained without the use of a log-amplifier. The second attachment below provides an explanation of the data processing steps and the basic principles of this viscometer configuration.
Appendix B
Data processing for case 2 high-pressure referencing two-capillary viscometer