188of lower-energy modes caused by the advent of surface states. The alloy spectrum [Fig. 1(c)] shows interesting peaks near 60/ 0 , which is the range in which local s modes are predicted to arise when an 5=| impurity is placed in 5* = f host (with a doubling of J). In fact, the exact prediction for an isolated impurity 7 is 57/ 0 .The specific heat and magnetization can be calculated readily using the prescriptions given by previous authors. 9 -10 Dramatic specific-heat changes, for example, would not be expected 16 in the alloy treated numerically above, since e( = J'/J-1) had the value \ or -1; the low-lying resonance modes which enhance the specific *
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