2571 Brass Perspex P T F E r t z (luartz Windows IQ15x21 Calibration RI \Inlet Figure 1. A diagram of variable path length flow-through spectrophotometer cell.is fabricated so that the quartz windows just about touch when the drum is set to reading zero, resulting in a very small difference between the drum reading and the actual path length. Calibration is therefore necessary for measurements at very short path lengths and, depending on the degree of accuracy required, also at longer path lengths. One calibration method is to measure absorbances of an aqueous solution (e.g., KNOB or K2Cr04) of suitable concentration against air at a number of short path settings and at any convenient wavelength. The stray light error of the spectrophotometer should of course be negligible at the chosen wavelength (4). The procedure is then repeated with distilled water to obtain the correct absorbance of the solution by subtraction of the blank values. An illustrative set of absorbance values measured at two wavelengths for each of four different path length settings is given in Table I. These values were used to calibrate the cell for a titration where a path length of 0.2 mm was required. The true path length, b, is deduced as follows from the data: If the reading on the drum is denoted by L, then the path length is given by b = L + 6 (1) where 6 is the path length correction. From Beer's law A = ecb one obtains A = EC(L + 6 ) = tcL + ec6Table I. Absorbance Values at Various Path Lengths Used to Calibrate the Cell drum (L)/mm A (220 nm) A (230 nm) 0.05 0.3489 0.2351 0.10 0.5840 0.3926 0.15 0.8212 0.5492 0.20 1.053 0.7080 6 = 0.0243 mm 6 = 0.0246 inmValues for cc and ec6 can be readily obtained as the slope and intercept of the straight line plot of A against L, or by fitting eq 3 to the data by least-squares analysis. The quotient of tc6/cc then gives the path length correction. The agreement between the two 6 values, 0.0246 and 0.0243 mm, calculated from the two sets of independent measurements is satisfactory and implies an uncertainty of less than 0.1% at path length 0.2 mm. The path length to be used and the accuracy required should dictate the range and number of path length settings chosen for calibration purposes. Since aging of the O-ring can have a measurable effect on the value of 6, occasional calibration is recommended. In fact, calibration can be most conveniently carried out as part of a titration experiment by using the reaction mixture and its blank as described above.
CONCLUSIONThe variable short path capability of the cell offers advantages in cases where a titration procedure can be utilized to vary conditions of a reaction mixture to be investigated by spectrophotometry (e.g., ref 5). Examples are, end-point determinations in volumetric analysis, the determination of complex stoichiometry by the slope ratio or molar ratio methods, and especially equilibrium investigations in which the concentration of a strongly absorbing component has to be varied over a wide range.
LITERATURE CITED(1) Llnge, H. G.; Jones,...