## 90PDP

Molecular Weights with a NanoBrook Particle Sizer

**Features at a Glance**

Proteins

Synthetic polymers

Dendrimers

PEGs, Polysacchrides, etc.

In addition to using the 90Plus for particle sizing and, optionally, zeta potential, you can now use it to determine molecular weights of macromolecules. There are two methods available: the standard Mark-Houwink-Sakurada (MHS) and the optional Debye Plot. The MHS method uses empirical constants to calculate the molecular weight from the diffusion coefficient determined from the autocorrelation function of the scattered light (DLS). The Debye Plot method is absolute and uses the intensity of light scattered at 90° (SLS).

With the MHS method, any of the following cells can be used: the plastic square cells, glass or quartz square cells, glass round cells, or the new, 40 µL quartz flow cell, the 90PFC . With the Debye Plot method, the 90PFC is required. In addition, given the weak scattering from small macromolecules like globular proteins, the BI-APD, avalanche photodiode detector, is required.

**MHS Method of Molecular Weight Determination**

In this method, the autocorrelation function of the scattered light intensity yields the diffusion coefficient, D, from which a hydrodynamic radius, RH , is calculated. In addition, assuming the MHS empirical equation is appropriate, a diffusion-averaged molecular weight is calculated using D = K·M α, where K and α are constants that depend on the macromolecule, the solvent, and to some extent on the solution temperature.

An analogous equation exists between viscosity-averaged molecular weight and the intrinsic viscosity. The molecular weight determined using the MHS equation is highly model dependent; yet, it very easy to determine given K and α. In the latest versions of the 90Plus software, an extensive table of these constants is given along with the ranges of RH and molecular weight over which they are useful. In particular, constants are tabulated in the software for globular proteins, linear and branched polysaccharides, and many synthetic polymer/solvent combinations.

**Debye Plot Method of Molecular Weight Determination**

In this method, the scattered light intensity is measured at several dilute polymer concentrations. The following equation is used to fit the data:

Here K is the Debye constant and ΔR is the difference in Rayleigh Ratio between the solution and solvent. Rayleigh Ratios are obtained from scattered intensities. Mw is the weight-average molecular weight, and A2 is the second virial coefficient. The sign and magnitude of A2 is useful in determining whether a protein solution will form crystals. A slightly negative A2 favors crystallization.

The intercept yields the inverse of the weight-average molecular weight and the slope yields the second virial coefficient. The measurement below was made on a GPC (Gel Permeation Chromatography) standard with a labeled value of 41.5 kDa for Mw . The result using the 90PDP option, consisting of the 90PFC flow cell and 9k90MW software, is 41.4 kDa and A2 = 2.06E-3 cm3 ·mol/g2.

These values are in excellent agreement with those obtained using the BI-MwA Molecular Weight Analyzer, a flow-thru, 7-angle, detector for GPC and with the results from the BI-200SM multiangle DLS/SLS light scattering instrument.

For Detailed Informations: www.brookhaveninstruments.com