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Conventional Calibration Theory
GPC Theory: Conventional Calibration
In Gel Permeation Chromatography - as we have seen in Separation - molecules are separated according to their hydrodynamic volume and then characterized by a detector or series of detectors as they elute from the GPC column. Conventional Calibration is a widely used GPC technique that employs a concentration detector, typically a Refractive Index (RI) Detector and/or UV/VIS, and a calibrated column to obtain relative molecular weight, molecular size and polydispersity.

In Conventional Calibration, the molecular weights (MW) and molecular weight distribution are determined from the measured retention volume (RV) by means of a calibration curve (log MW vs. RV), which must be set up with the aid of a number of standards of known molecular weight.

The process of conventional calibration is as follows:

  • Inject a series of Narrow Standards of known Molecular Weight.
  • Measure the Retention Volume (RV) of the resulting peak apex.
  • Construct a calibration curve of Log(MW) vs. Retention Volume.
Note:
Retention Volume is measured instead of Time to eliminate dependence on flow rate, and you must select standards that cover the entire Molecular Weight range of the sample to be analyzed.
Conventional Calibration Curve

Having gathered this calibration data, we now create a calibration curve to describe the relationship between Retention Volume and Molecular Weight; this is usually done by fitting the data to a polynomial:
Conventional Calibration Polynomial
Now when the unknown sample is analyzed, it is a simple process to determine its Molecular Weight. Typically, polymer scientists are interested in at least 3 properties of the Molecular Weight distribution. These are called the Weight, Number and Z-Average and are defined as follows:

GPC MW avaerages

Where Mi is the Molecular Weight at the ith data point, and Ci is the concentration (or weight-fraction) at the ith data point.

The drawback with Conventional Calibration is that you may not have available standards of the same type as your sample. Remember, GPC separation is based on Hydrodynamic Volume, not Molecular Weight; therefore, in attempting to determine Molecular Weight by Conventional Calibration we are making the assumption that the sample is of the same density as the standards. This is often not the case, and hence we often refer to the results from Conventional Calibration as Relative Molecular Weight or 'Polystyrene Equivalent' Molecular Weight (Polystyrene being the most common standard type).

To overcome this problem, we need to construct a calibration curve where the y-axis is proportional to the Hydrodynamic Volume, instead of Molecular Weight. Fortunately, the addition of a Viscometer Detector, and utilization of the technique of Universal Calibration allows us to do precisely that. For more information on Universal Calibration, please access the navigation on the left. 
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