CORRIGENDUM

David Atlas National Aeronautics and Space Administration Goddard Space Flight Center, Greenbelt, Maryland

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Sergey Y. Matrosov NOAA/OAR/ETL, Boulder, Colorado

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Andrew J. Heymsfield National Center for Atmospheric Research, Boulder, Colorado

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Ming-Dah Chou National Aeronautics and Space Administration Goddard Space Flight Center, Greenbelt, Maryland

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David B. Wolff Applied Research Corporation, Landover, Maryland

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Corresponding author address: Dr. David Atlas, Distinguished Visiting Scientist, NASA/GSFC, Code 912.1, Greenbelt, MD 20771.

datlas@radar.gsfc.nasa.gov

Corresponding author address: Dr. David Atlas, Distinguished Visiting Scientist, NASA/GSFC, Code 912.1, Greenbelt, MD 20771.

datlas@radar.gsfc.nasa.gov

An exponent (−1) was missing in the expression for the coefficient C given four lines above Eq. (19). The correct expression for this coefficient in the W = CZb relation is
CρD3−6−1
where ρ is the effective bulk density of particles of median volume diameter D. This error caused the error in Eq. (19). The correct version of this equation is
CJC1ρJD1DJ3
where the subscript 1 represents the values for particles of D1 = 100 μm with a density of 0.92 g cm−3, DJ corresponds to the successive values of the median volume diameter at integral multiples of 2–9 with the maximum diameter of 900 μm, and ρJ is their corresponding bulk density. Note that it is assumed here that ρJ is an effective bulk density of the median volume diameter that we have used to represent the entire particle population. Also the exponent b in the W = CZb relation is assumed to be unity, which is close to the average experimental value of b = 0.95 in Table 2 of Atlas et al. (1995).

Equation (19) was used to estimate the effective bulk densities for particle populations with different values of DJ. Although Eq. (19) in the original version of the paper was written erroneously, the effective density estimates were performed using the correct version of Eq. (19) so that these estimates are correct. Values of the coefficients CJ were computed by regressing logW versus logZ shown in Fig. 5 of Atlas et al. (1995), which represent the original data. The values of CJ in Table 2 were inadvertently increased by a constant factor. This fact did not cause errors in estimating effective bulk densities, because the ratio CJ/C1 was used for these estimates. It should be mentioned, though, that some uncertainty in density estimates exists because of truncation of the CJ values to two digits after the decimal point.

In essence, both our method and that of Brown and Francis (1995) of estimating bulk densities involve approximations and both lead to the inverse relationship of density to diameter. This relationship, in turn, results in the increase of Z with median volume diameter (for D0 > 100 μm) by about two rather than three orders of magnitude at constant ice water content.

Acknowledgments

We are indebted to Dr. Z. Wang of the Department of Meteorology, University of Utah, for the inquiry that led to the discovery of these errors.

REFERENCES

  • Atlas, D., S. Matrosov, A. J. Heymsfield, M.-D. Chou, and D. B. Wolff, 1995: Radar and radiation properties of ice clouds. J. Appl. Meteor.,34, 2329–2345.

  • Brown, P. R. A., and P. N. Francis, 1995: Improved measurements of the ice water content in cirrus using a total water probe. J. Atmos. Oceanic Technol.,12, 410–414.

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  • Atlas, D., S. Matrosov, A. J. Heymsfield, M.-D. Chou, and D. B. Wolff, 1995: Radar and radiation properties of ice clouds. J. Appl. Meteor.,34, 2329–2345.

  • Brown, P. R. A., and P. N. Francis, 1995: Improved measurements of the ice water content in cirrus using a total water probe. J. Atmos. Oceanic Technol.,12, 410–414.

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