Theoretical description of quantum beats of recoil-free<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi></mml:math>radiation

Monahan, J.E.; Perlow, G. J.

doi:10.1103/physreva.20.1499

Cited by 64 publications

(43 citation statements)

References 13 publications

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“…In addition to the arguments given above, the incoherent model contradicts the observation of time domain spectra, which are obtained for γ rays from the vibrated source by filtering trough a single line absorber [23,24]. Similar experiments were performed with the vibrated absorber and the source moved only by Mössbauer drive [10,18,19,25].…”

Section: The Arguments For a Revision Of The Incoherent Modelmentioning

confidence: 92%

“…Usually these absorbers are glued on the surface of the transducer, fed by the oscillating voltage. The transducers, made from piezo-crystal (for example, quartz) [23,24,[26][27][28][29][30][31][32][33][34] or piezo-polymerfilm (for example, a polyvinylidene fluoride -PVDF), also produce different spectra since the conversion factor of the PVDF drive is more than ten times larger than that of quartz [38]. Meanwhile, the Rayleigh distribution has only one parameter, which is a variance of the displacement amplitude a 2 , specifying also the values m 2 and m. However, in general the distribution of amplitudes and phases of the nuclear vibrations should depend on the construction of the absorber-transducer.…”

Section: The Arguments For a Revision Of The Incoherent Modelmentioning

confidence: 99%

“…If ψ r is distributed normally about ψ r = 0 with variance ψ 2 r , then amplitudes of the harmonics in time domain spectra significantly decrease with increase of the number of the harmonic. Since quantum beats of frequency modulated γ-rays, which are transmitted through the resonant absorber, are reliably observed [23,24], the phase ψ r is not randomly distributed over the interval 0 and 2π.…”

Section: The Arguments For a Revision Of The Incoherent Modelmentioning

confidence: 99%

“…If we could apply γ-radiation for spatial measurements, then Angstrom resolution scale could be achieved. Moreover, the lateral distribution of the displacements of the vibrating absorber is quite important from the viewpoint of high resolution spectroscopy with high-and low-finesse frequency combs [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…Mössbauer sidebands, produced from a single parent line by absorber vibration, were observed in many different samples [23,24,[26][27][28][29][30][31][32][33][34]. However, the intensity of the sidebands has not been yet satisfactory explained [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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Application of the Mössbauer effect to the study of subnanometer harmonic displacements in thin solids

Shakhmuratov

Vagizov

2017

Phys. Rev. B

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We measure subnanometer displacements of thin samples vibrated by piezotransducer. Samples contain 57 Fe nuclei, which are exposed to 14.4 keV γ-radiation. Vibration produces sidebands from a single absorption line of the sample. The sideband intensities depend on the vibration amplitude and its distribution along the sample. We developed a model of this distribution, which adequately describes the spectra of powder and stainless steel (SS) absorbers. We propose to filter γ-radiation through a small round hole in the lead mask, placed before the absorber. In this case only a small spot of the vibrated absorber is observed. We found for SS foil that nuclei, exposed to γ-radiation in this small spot, vibrate with almost the same amplitudes whose difference does not exceed a few picometers within the irradiated area.

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Section: The Arguments For a Revision Of The Incoherent Modelmentioning

confidence: 92%

Section: The Arguments For a Revision Of The Incoherent Modelmentioning

confidence: 99%

Section: The Arguments For a Revision Of The Incoherent Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Application of the Mössbauer effect to the study of subnanometer harmonic displacements in thin solids

Shakhmuratov

Vagizov

2017

Phys. Rev. B

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Application of the Mössbauer effect to the study of opto‐acoustic phenomena

Vagizov

Shakhmuratov

Sadykov

2014

Physica Status Solidi (b)

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We present the results of the proof of principle experiment on the observation of the acoustic oscillations induced by the pulsed laser excitation. Time domain spectra agree well with the model of the frequency modulation of Mössbauer radiation passing through a vibrating resonance medium. The ratio of the fourth and second Fourier harmonics D 4V =D 2V of the modulated radiation is suggested to measure the modulation index since this ratio is very sensitive to the amplitude of nuclear vibrations. The proposed methodology may be used for the study of opto-acoustic phenomena. 1 Introduction Mössbauer spectroscopy is a unique technique for investigating structural and dynamical properties of solids on the atomic scale. This technique provides information about local symmetry, magnetic ordering, and chemical bonding in the immediate vicinity of the probing nucleus. Among many other promising applications of Mössbauer effect there are those, which provide information about dynamical processes induced in materials by radiofrequency (RF) magnetic field, ultrasound, and optical laser radiation [1]. Since the discovery of the Mössbauer effect a number of interesting phenomena stimulated by external fields were observed: Ultrasonic [2] and magnetostriction modulation of gamma-radiation [3][4][5], RF collapse of the magnetic hyperfine structure [6], Rabi splitting of Mössbauer lines under NMR excitation [7][8][9], the effect of the rotating hyperfine magnetic field [10], gamma echo [11], etc. These phenomena noticeably enhance the efficiency of the Mössbauer effect as an experimental tool and allow getting information not attainable by conventional acquisition schemes. For example, the modulation of Mössbauer spectra with ultrasound was efficiently used in studies of ultrasonic phenomena in solids [12]; RF collapse of the magnetic hyperfine structure was used in magnetic soft alloys for determination of the quadrupole splitting distribution [13]; Rabi splitting of Mössbauer lines were used to determine the amplitude of the RF field experienced by a nucleus and the hyperfine amplification factor [14].

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Time Dependence of Mössbauer γ‐Radiation Modulated by Acoustic Excitations

Gabrielyan

Kocharyan

Mkrtchyan

et al. 1983

Physica Status Solidi (b)

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In recent years there appear more and more works on time-dependent differential Mossbauer spectroscopy since it enables us to investigate various posteffects of electron capture, transient processes, relaxation of local oscillating and electronic excitations with the relaxation time of the order of and less than the lifetime of the nuclear level, dynamic behaviour of the nuclei in different media, etc. /1 to 9/. Particularly, quantum beats of r-radiation /8, 9/ may be used to measure small energy shifts, e.g. gravitational, complex oscillations, single pulses, etc.values of the absorber effective thickness and of an arbitrary form and frequency of acoustic oscillations, unlike paper /9/ dealing only with sinusoidal high-frequency oscillations.The present note considers beats of the resonance r-radiation at arbitrary Further we proceed by distinguishing two cases: a) the high frequency case SZ>r where 51 is the oscillation frequency and ro is the natural linewidth of the nuclear level, and b) the low frequency case 0 G ro. cording to the periodic law A = xof(!G? t) where A. is the oscillating amplitude. For the electric field of the frequency modulated radiation of that nucleus 0 a) High-frequency case Let us consider an excited nucleus oscillating ac-where uo is the radiation frequency, a = k lo is the modulation index, k' is the wave vector of the r-quantum,and t is the beginning of the given nuclear emission. 0 1) 375019 Erevan, USSR.

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Theoretical description of quantum beats of recoil-freeγradiation

Cited by 64 publications

References 13 publications

Application of the Mössbauer effect to the study of subnanometer harmonic displacements in thin solids

Application of the Mössbauer effect to the study of subnanometer harmonic displacements in thin solids

Application of the Mössbauer effect to the study of opto‐acoustic phenomena

Time Dependence of Mössbauer γ‐Radiation Modulated by Acoustic Excitations

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