By Richard L. Cohen (Eds.)
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Additional info for Applications of Mössbauer Spectroscopy
The measured linewidth for iron is often ~ 0 . 3 mm/sec, so that a shift of about one-quarter of a linewidth is 1 1 9 produced per 100°K temperature change. F o r S n , both the larger linewidth ( ~ 1 mm/sec) and smaller shift make the thermal shift unimportant except in cases where very precise measurements are made. It should be emphasized that the thermal shift values cited here are valid only at high temperatures. F o r temperatures much lower than the Debye temperature of the lattice, the shift becomes vanishingly small and depends on the relationship between the temperature and 0 D.
Introduction 37 M ö s s b a u e r S p e c t r a of I r o n A l l o y s 38 A. H y p e r f i n e I n t e r a c t i o n s in I r o n A l l o y s 38 B. Finite S a m p l e T h i c k n e s s 41 D e c o m p o s i t i o n into T w o Phases T h e o r y of T w o - P h a s e A n a l y s i s 44 B. Nucleation and Growth 45 C. Spinodal Decomposition 54 D. Retained Austenite 62 Order-Disorder 66 A. Measurement Theory 66 B. Experimental Results 70 References I. 44 A. 78 Introduction The growth in activity in Mössbauer spectroscopy has been accompanied by the use of the Mössbauer effect as an analytical tool for increasingly more quantitative studies of metallurgical phenomena.
E9 V) = [(£ + Κ ) + ( Γ / 4 ) ] ~ \ the Lorentzian line shape, assumed centered at Ε = 0; σ = the absorption crosssection = Σι hi^(T, Ε — Ei9 V = 0), a superposition of Lorentzian lines with the values of Et determined by the hyperfine interactions; ht = crosssection of the ith Lorentzian line; τ 3 = ata = effective thickness of the absorber. It is c o m m o n to use thin absorbers and to assume that they are sufficiently thin that the exponential in Eq. (2) may be expanded, retaining only the first two terms.