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The nearly coincident forms of the relations between seismic moment M 0 and the magnitudes M L , M S , and M w imply a moment magnitude scale M = ⅔ log M 0 ‐ 10.7 which is uniformly valid for 3 ≲ M L ≲ 7, 5 ≲ M s ≲ 7½, and M w ≳ 7½.
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Thomas C. Hanks
Hiroo Kanamori
Journal of Geophysical Research Atmospheres
California Institute of Technology
United States Geological Survey
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Hanks et al. (Thu,) studied this question.
www.synapsesocial.com/papers/69d93cd47fca1f84ab6847bc — DOI: https://doi.org/10.1029/jb084ib05p02348