Uncertainties of Gibbs excess masses

Uncertainties of Gibbs excess masses (3.52) as represented by their mean square deviations (MSD) (a ) can be calculated by applying the Gauss Law of propagation of uncertainty of error to eqs. (3.51) and (3.52) respectively ... 

For sake of completeness we also mention the dispersion or uncertainty of Gibbs excess masses as given by eq. (4.71). Gauss law of propagation of uncertainty leads to the expression... 

These numerical values of dispersions (Ox) provided one can expect relative uncertainties of Gibbs excess masses measured with the rational pendulum to be limited by (a GE/mQg)<2%. This is about the accuracy of standardized volumetric / manometric measurements, cp. Chap. 2. To realize accurate oscillometric measurements it is most important to determine the (A) and ( ) parameters related to the various oscillations of the pendulum as accurate as possible, cp. Eq. (5.39). For this it is necessary to choose an initial amplitude (uo) of about 2-3 times the size of (ai, but less than 60 ° as for higher values of (Uo) measurable deviations of the oscillation from ideal harmonic behavior occur. Also it is necessary to observe at least 10 periods within an oscillation if not more, to get reliable (A, co)-data. To ensure this, the use of diodes with characteristic detection times less than 0.1 ms is recommended [5.7]. 

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