Determination of the recoilless absorption fraction of gamma quanta by nuclei in solids using a delayed coincidence technique
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 1, pp. 33-48 Cet article a éte moissonné depuis la source Math-Net.Ru

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The method for determination of the Lamb–Mossbauer factor by the delayed coincidence technique is proposed. It was used to determine this factor for $^{57}\mathrm{Fe}$ nuclei in $\mathrm{K_4Fe(CN)_6\cdot3H_2O}$. For this compound the recoilless absorption fraction of $0.339\pm0.004$ at room temperature has been obtained.
Keywords: Lamb–Mossbauer factor, Mossbauer spectroscopy, delayed coincidence technique.
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     title = {Determination of the recoilless absorption fraction of gamma quanta by nuclei in solids using a~delayed coincidence technique},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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F. G. Vagizov; E. K. Sadykov; V. V. Arinin; O. A. Kocharovskaya. Determination of the recoilless absorption fraction of gamma quanta by nuclei in solids using a delayed coincidence technique. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 1, pp. 33-48. http://geodesic.mathdoc.fr/item/UZKU_2010_152_1_a3/

[1] Chen Yi-L., Yang De-P., Mossbauer Effect in Lattice Dynamics, WILEY-VCH Verlag GmbH Co. KgaA, Weinheim, 2007, 423 pp.

[2] Housley R. M, Erickson N. E., Dash J. G., “Measurement of recoil-free fractions in studies of the Mossbauer effect”, Nucl. Instrum. Meth., 27 (1964), 29–37 | DOI

[3] Margulies S., Ehrman J. R., “Transmission and Line broadening of resonance radiation incident on a resonance absorber”, Nucl. Instrum. Meth., 12 (1961), 131–137 | DOI | MR

[4] O'Connor D. A., “The effect of line broadening of Mossbauer resonant sources and absorbers on the resonance absorption”, Nucl. Instrum. Meth., 21 (1963), 318–322 | DOI

[5] O'Connor D. A., Longworth G., “Measurement of the unequal line widths and recoilless fractions of the source and absorber in nuclear resonance”, Nucl. Instrum. Meth., 30 (1964), 290–292 | DOI

[6] Bykov G. A., Hien Ph. Z., “Calculation of parameters of experimental spectra of resonance absorption of gamma quanta in crystals”, JETP Lett., 16 (1963), 646–651

[7] Williams J. M., Brooks J. S., “The thickness dependence of Mossbauer absorption line areas in unpolarized and polarized absorbers”, Nucl. Instrum. Meth., 128 (1975), 363–372 | DOI

[8] Stieler W., Hillberg M., Litterst F. J., Bottger Ch., Hesse J., “Numerical evaluation of Mossbauer spectra from thick absorbers”, Nucl. Instrum. Meth. B, 95 (1995), 235–242 | DOI

[9] Shirley D. A., Kaplan M., Axel P., “Recoil-free resonant absorption in Au$^{197}$”, Phys. Rev., 123 (1961), 816–830 | DOI

[10] Lang G., “Interpretation of experimental Mossbauer spectrum areas”, Nucl. Instrum. Meth., 24 (1963), 425–428 | DOI

[11] O'Connor D. A., Skyrme G., “The determination of the recoilless fraction of Mossbauer absorbers”, Nucl. Instrum. Meth., 106 (1973), 77–81 | DOI

[12] Housley R. M., “Discussion of factors affecting the absolute accuracy of Mossbauer $f$ measurements”, Nucl. Instrum. Meth., 35 (1965), 77–82 | DOI

[13] Triftshauser W., Craig P. P., “Time independence of charge states produced following electron capture in Co$^{57}$”, Phys. Rev. Lett., 16 (1966), 1161–1164 | DOI

[14] Hamil D. W., Hoy G. R., “Coincidence-Mossbauer spectroscopy”, Phys. Rev. Lett., 21 (1968), 724–726 | DOI

[15] Kobayashi T., Fukumura K., “Recoilless fraction of potassium ferrocyanide”, Nucl. Instrum. Meth., 180 (1981), 549–551 | DOI

[16] Ball J., Lyle S., “A method for the determination of the Lamb-Mossbauer factor for a crystal lattice”, Nucl. Instrum. Meth., 163 (1979), 177–181 | DOI

[17] Lynch F. J., Holland R. E., Hamermesh M., “Time dependence of resonantly filtered gamma rays from Fe$^{57}$”, Phys. Rev., 120 (1960), 513–520 | DOI

[18] Harris S. M., “Quantum mechanical calculation of Mossbauer transmission”, Phys. Rev., 124 (1961), 1178–1185 | DOI

[19] Perlow G. J., “Temporal optics of recoil-free gamma radiation”, Hyperfine Interact., 72 (1992), 51–62 | DOI

[20] Qaim S. M., “Recoil-free fractions of the 14.4 keV Mossbauer gamma line of $^{57}$Fe in various host lattices”, J. Phys. F Metal Phys., 1 (1971), 320–327 | DOI

[21] Shakhmuratov R., Vagizov F., Kocharovsraya O., Odeurs J., “Slow $gamma$ photon with a doublet structure: Time delay via a transition from destructive to constructive interference of collectively scattered radiation with the incoming photon”, Phys. Rev. A, 80 (2009), 063805-1–063805-15 | DOI

[22] Haas M., Hizhnyakov V., Realo E., Joci J., “Nuclear polaritons in the Mossbauer absorber”, Phys. Stat. Sol. (b), 149 (1988), 283–290 | DOI

[23] Smirnov G. V., “General properties of nuclear resonant scattering”, Hyperfine Interact., 123/124 (1999), 31–77 | DOI

[24] McDermott W. C., Johnson D. E., Hoy G. R., “Gamma-ray optics using Co$^{57}$ doped iron single crystals”, Hyperfine Interact., 92 (1994), 1077–1082 | DOI

[25] Greenwood N. N., Gibb T. C., Mossbauer Spectroscopy, Chapman and Hall Ltd, London, 1971, 671 pp.

[26] Kerler W., Neuwirth W., “Messungen des Mossbauer effects von Fe$^{57}$ zahlreichen eisenverbindungen bei verschiedenes temperaturen”, Z. Physik., 167 (1962), 176–193 | DOI

[27] Fluck E., Kuhn P., “Mössbauer-spektren von hexazido-ferrat(III) und prussiat-komplexen”, Z. Anorg. Chem., 350 (1967), 263–270 | DOI

[28] Angelov V., Bonchev T., Rusanov V., Mandjukov I., “On the probability of recoilless absorption $f'$ and reemission $f''$ in some Fe-containing compounds”, Phys. Stat. Sol. (b), 146 (1988), 269–277 | DOI

[29] Tittonen I., Lippmaa M., Helisto P., Katila T., “Stepwise phase modulation of recoilless gamma radiation in a coincidence experiment: Gamma echo”, Phys. Rev. B, 47 (1993), 7840–7846 | DOI