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Download Applications of Mössbauer Spectroscopy by Richard L. Cohen (Eds.) PDF

By Richard L. Cohen (Eds.)

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This reduces to the forms / = H e è ) x t p a ° τ κ = ο ) and / * e x p ( - ^ J for T > 0 D/ 2 . (15) A useful plot showing the temperature dependence of / was generated by Muir (1962) and reproduced by Cohen and Wertheim (1974). It should be emphasized that the temperature dependence of / in Eqs. (13-15) is obtained only for a solid for which the Debye model is a valid description of the p h o n o n spectrum. In fact, deviations between the observed temperature dependence of / and Debye model values have recently been used to determine the a n h a r m o n i c force constants (Howard and Nussbaum, 1974).

2. Experimental Results a. Maraging Steels. O n e of the most extensively studied systems is the group of high alloy steels known as maraging. These steels contain varying a m o u n t s of nickel (or manganese), cobalt and molybdenum (or tungsten). They are first transformed from the high-temperature austenite to the lowtemperature martensite phase by the diffusionless martensitic reaction, then heat treated to produce a two phase structure including a precipitate containing molybdenum (or tungsten), which further hardens the already hard martensite.

6) *> — 00 If, however, the absorber linewidth is > Γ, the expression for the area is 2 Ferrous Alloy Phase Transformations 45 modified (Johnson and Dash, 1968) and becomes A = Μ;ΓπΚ(οτά (7) where g = Γ / Γ ' must be empirically determined. Thus, through the thickness effect the measured area for a sample of finite effective thickness r a depends on F . F o r a six-line spectrum from a ferromagnetic phase, the expression for the area may be written in a simple form when the six peaks only slightly overlap and the expression reduces to (Abe and Schwartz, 1974) 6 ^ferro = fsfr rK Σ (9iWa\ (8) ί= 1 where in general the values of Γ' and gi are different for each of the six resonance lines.

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