Improved Inversion of Scanning DMA Data

Recovery of aerosol size distributions from either stepping or scanning mode differential mobility analyzer (DMA) measurements requires an accurate description of the characteristics of the DMA itself, as well as certain properties of the aerosol. Inversion of scanning DMA data is further complicated by the nonunique relationship between the time a particle exits the DMA and the time it is ultimately detected. Without an accurate description of this relationship, and an appropriate method of accounting for it, inverted distributions will be broadened and skewed relative to the true distribution. A simplified approach to inversion of scanning DMA data is described here in which adjustment of the raw data to account for the delay time distribution associated with the instrument is accomplished prior to final inversion. This provides the flexibility to utilize more accurate descriptions of the delay time distribution and the DMA transfer function than is feasible if the inversion is to be accomplished in one step as described by Russell et al. (1995). The accuracy of this procedure has been demonstrated through analysis of actual as well as test-case data.

[1]  Douglas W. Cooper,et al.  Data inversion using nonlinear programming with physical constraints: Aerosol size distribution measurement by impactors , 1976 .

[2]  Gregory R. Markowski,et al.  Improving Twomey's Algorithm for Inversion of Aerosol Measurement Data , 1987 .

[3]  S. Twomey.  Comparison of constrained linear inversion and an iterative nonlinear algorithm applied to the indirect estimation of particle size distributions , 1975 .

[4]  John H. Seinfeld,et al.  Inversion of aerosol size distribution data , 1990 .

[5]  Christopher J. Taylor,et al.  The use of the L-curve method in the inversion of diffusion battery data , 1997 .

[6]  A. Reineking,et al.  Measurements of Particle Loss Functions in a Differential Mobility Analyzer (TSI, Model 3071) for Different Flow Rates , 1986 .

[7]  John H. Seinfeld,et al.  Asymmetric Instrument Response Resulting from Mixing Effects in Accelerated DMA-CPC Measurements , 1995 .

[8]  P. Balakumar,et al.  Inversion to obtain aerosol size distributions from measurements with a differential mobility analyzer. , 1982 .

[9]  K. Okuyama,et al.  Determination of particle size distribution of ultra-fine aerosols using a differential mobility analyzer , 1985 .

[10]  R. Flagan,et al.  Resolution of the radial differential mobility analyzer for ultrafine particles , 1996 .

[11]  F. Schröder,et al.  The Particle Detection Efficiency Curve of the TSI-3010 CPC as a Function of the Temperature Difference between Saturator and Condenser , 1995 .

[12]  H. Spoelstra,et al.  A high-resolution electrical mobility aerosol spectrometer (MAS) , 1983 .

[13]  Kikuo Okuyama,et al.  Effect of brownian diffusion on electrical classification of ultrafine aerosol particles in differential mobility analyzer , 1986 .

[14]  F. R. Quant,et al.  Performance of condensation particle counters with three continuous-flow designs , 1992 .

[15]  A. Wiedensohler,et al.  An approximation of the bipolar charge distribution for particles in the submicron size range , 1988 .

[16]  Donald E. Hagen,et al.  Linear inversion method to obtain aerosol size distributions from measurements with a differential mobility analyzer , 1983 .

[17]  K. T. Whitby,et al.  Aerosol classification by electric mobility: apparatus, theory, and applications , 1975 .

[18]  Charles L. Lawson,et al.  Solving least squares problems , 1976, Classics in applied mathematics.

[19]  G. M. Frick,et al.  Ion—Aerosol Attachment Coefficients and the Steady-State Charge Distribution on Aerosols in a Bipolar Ion Environment , 1986 .

[20]  J. Rosell-Llompart,et al.  Sizing nanoparticles and ions with a short differential mobility analyzer , 1996 .

[21]  N. Fuchs,et al.  On the stationary charge distribution on aerosol particles in a bipolar ionic atmosphere , 1963 .

[22]  Jugal K. Agarwal,et al.  Continuous flow, single-particle-counting condensation nucleus counter , 1980 .

[23]  Richard C. Flagan,et al.  Scanning Electrical Mobility Spectrometer , 1989 .

[24]  John H. Seinfeld,et al.  A New Algorithm for Inversion of Aerosol Size Distribution Data , 1981 .

[25]  Detlef Hummes,et al.  Experimental Comparison of Four Differential Mobility Analyzers for Nanometer Aerosol Measurements , 1996 .

[26]  G. Reischl,et al.  Bipolar charging of ultrafine particles in the size range below 10 nm , 1996 .

[27]  Heinz Fissan,et al.  Determination of particle size distributions by means of an electrostatic classifier , 1983 .

[28]  Nan M. Laird,et al.  Em algorithm reconstruction of particle size distributions from diffusion battery data , 1985 .