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Standard Reference Material 2881 - National Institute of Standards ...

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From classical polymer methods <strong>of</strong> analysis <strong>of</strong> the MMD one obtains one or twomoments <strong>of</strong> the MMD. M w can be obtained by light scattering or ultracentrafugation, and M ncan be obtained by the measurement <strong>of</strong> colligative properties like osmotic pressure, or by endgroup analysis as by nuclear magnetic resonance (NMR) or titration techniques. Generallythese moments give an incomplete description <strong>of</strong> the overall MMD. Properties like meltviscosity, tensile strength, and impact strength <strong>of</strong>ten depend on the tails <strong>of</strong> the MMD ratherthan the central portion as defined by the two central moments. The polydispersity index canbe used as a poor surrogate in determining the effect <strong>of</strong> the tails <strong>of</strong> the MMD. Thus, it iscritically important that we make an effort to obtain the entire MMD. Furthermore, it is notuncommon, due to purposeful blending or to the polymer chemistry (resulting from twodifferent mechanisms (intentionally <strong>of</strong> unintentionally) competing during preparation), thatthe polymer MMD will be bimodal; thus the central moments, M n and M w , are exceedinglypoor representations <strong>of</strong> such MMD. Size exclusion chromatography (SEC) and matrixassistedlaser desorption/ionization time-<strong>of</strong>-flight mass spectrometry (MALDI-TOF MS) each<strong>of</strong>fers the prospect <strong>of</strong> obtaining the entire MMD. SEC is not an absolute technique in that italways requires calibration with another polydisperse polymer analyte. Also, it is difficult todetermine the Type B (systematic) uncertainty <strong>of</strong> an SEC measurement. MALDI-TOF MS,particularly at molecular masses below about 25 000 u for polystyrene (PS), can obtain amolecular mass spectrum (MMS) with distinct oligomer peaks. Such equivalent averages asdescribed above are then applied to MMS <strong>of</strong> polymers where it is assumed that the area undera peak <strong>of</strong> an oligomer is proportional to the number <strong>of</strong> molecules at a given mass m j . From theMMS one can, with proper understanding <strong>of</strong> the limitations and corrections <strong>of</strong> the spectrum,derive a good approximation to the true MMD <strong>of</strong> the polymer. It is the central purpose <strong>of</strong> thiswork to consider how one can use the MMS to approximate the MMD. For this we shall needto consider carefully the repeatability, accuracy, and precision <strong>of</strong> MALDI-TOF MS forpolymer analysis.One can ask, what is the precision and accuracy <strong>of</strong> the method? How well does the methodmeasure the quantities it is purported to measure (in this case the MMD)? From one point <strong>of</strong>view, this can be rephrased as, how well does it agree with other methods measuring the samequantity? These other values can be obtained from an independent measurement on the9

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