The falling drop method for deuterium oxide: Factors influencing accuracy

Factors affecting the accuracy of the falling drop method for D₂O were considered: selection of temperature of the constant-temperature bath, permissible temperature fluctuations, and D₂O concentration. Bath temperatures used, 27.24 to 27.32°, and constancy within ±0.002° had no influence on the regression relating drop velocity to concentration, v = a + bc, or sampling error (S.D._v). The latter increases significantly with concentration from 0.05 to 0.23 ml % D₂O, is significantly smaller than experimental error (S.D._e), and is inappropriate for estimating intra-assay limits. More appropriate is the S.D._c derived from the variance of the terms of the regression equation. Assay results using this error term can be expected to vary from about ±4.8% at 0.05 ml % to about ±2% at 0.23 ml %. These results compare favorably with those reported for the mass spectrograph used to determine the mass ratio of $\text{HDO}\text{H}{}_2\text{O}$ vapor. A more conservative estimate is obtained by using $\text{λ}\text{=}\text{S.D.}{}_{\mathrm{e}}\text{b}$, which in this work indicated within-assay variability of ±12.4% at 0.05 ml % and ±2.7% at 0.23 ml % D₂O. The term S.D._e, corresponding to 0.0062 ml % in these experiments, provides the best means for assay comparisons.Satisfactory recoveries of D₂O added to urine averaging 99% of known values were obtained after shell-freezing, without distillation of standards and without permanganate oxidation of samples. No increase in error beyond that anticipated from standards alone was observed when urine was the vehicle.