PARTICLE CHARGING AT LOW PRESSURES 273 whether any of these small particles were charged and, if so, what fraction were charged, To answer these questions two tests were performed in which uranine aerosols were used to measure the fraction collected on the center rod and the afterfilter. The operating conditions in the charger were identical to those used in obtaining the data shownin tests 35, 36, and 37 in Fig. 7, the electric-field intensity being 240 volts/cm and the Nt product 1.05 x 10° ions/cm?® per second. The aerosols were produced by an atomizer—impactor (described in Ref. 9). The geometrical standard deviation of the particle size distribution was approximately 1.5. The mass median diameters of the aerosols used were 0.049 and 0.028 up, respectively, both of which were smaller than the horizontal intercept of 0.052 1 as shown in Fig. 7. The charge spectrometer was operated with a sufficiently high voltage on the center rod so thatall particles that were charged would be collected by the center rod. The mass of uranine collected on the center rod and on theafterfilter were determined separately in a fluorimeter. The fraction of particles that were charged was then calculated from these data. It was foundthat, under these charging conditions, 56%of the 0.049-u particles were charged whereas only 24% of the 0.026- particles were charged. A theoretical equation is derived in the appendix to this paper for calculating the fraction of particles that are charged. The experimental data obtained appear to agree well with the theoretical predictions. Figure 9 is a plot of the fraction, f, of particles that are charged as a T c dT i T 1.0 oO has ® — — a = 0.8 oO 'e' vw 4 Y - aa — - 4 e 0.6 F— 4 a rs — oO — 0.4 4 [~ an Zz Q 0 < & —~ 0.2 0 0 1 l { } L 1.0 2.0 3.0 4.0 5.0 Nt (Nh, Fig. 9—Fraction of particles charged. 6.0

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