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The spin dynamics of muonium diffusing in NaCI have been investigated using the technique of muon-spin relaxation. An effective coupling constant (<5 ex ) for the nuclear hyperfine interaction and the correlation time for motion were determined from measurements of the muon-spin-relaxation rate. At temperatures below 200 K, 8 ex is sharply reduced below that expected from the known hyperfine structure of interstitial hydrogen, providing clear evidence for derealization of muonium.