Determination of the energy standards by precision beta-spectroscopy methods

The technique allowing one to determine energy of transitions in atomic nuclei with high accuracy is developed.
 It is based on measurement of a difference of energy of internal conversion electron lines on high-resolution β-
 spectrometer π SQRT(2) with iron yoke and radius of an...

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Veröffentlicht in:Вопросы атомной науки и техники
Datum:2004
Hauptverfasser: Kupryashkin, V.T., Lashko, A.P., Lashko, T.N., Feoktistov, A.I., Khomenkov, V.P.
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Sprache:Englisch
Veröffentlicht: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2004
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_version_ 1859990939462795264
author Kupryashkin, V.T.
Lashko, A.P.
Lashko, T.N.
Feoktistov, A.I.
Khomenkov, V.P.
author_facet Kupryashkin, V.T.
Lashko, A.P.
Lashko, T.N.
Feoktistov, A.I.
Khomenkov, V.P.
citation_txt Determination of the energy standards by precision beta-spectroscopy methods / V.T. Kupryashkin, A.P. Lashko, T.N. Lashko, A.I. Feoktistov, V.P. Khomenkov // Вопросы атомной науки и техники. — 2004. — № 5. — С. 67-71. — Бібліогр.: 9 назв. — англ.
collection DSpace DC
container_title Вопросы атомной науки и техники
description The technique allowing one to determine energy of transitions in atomic nuclei with high accuracy is developed.
 It is based on measurement of a difference of energy of internal conversion electron lines on high-resolution β-
 spectrometer π SQRT(2) with iron yoke and radius of an equilibrium orbit r = 50 cm at a constant magnetic spectrometer
 field. The accuracy of definition of γ-ray energies reaches from 0,2 up to 1 eV in the energy region from 100 up to
 500 keV. That completely corresponds to the requirements to energy standards of 4-th order. Розроблено методику, яка дозволяє з високою точністю визначати енергії переходів в атомних ядрах.
 Методика основана на вимірах енергії електронів внутрішньої конверсії на β-спектрометрі високої
 роздільної здатності типу π SQRT(2) з залізним ярмом і радіусом рівноважної орбіти ρ = 50 см при постійному
 магнітному полі спектрометра. Точність визначення енергії переходів сягає від 0,2 до 1 еВ для області
 енергії від 100 до 500 кеВ, що повністю відповідає вимогам до енергетичних нормалей 4-го порядку. Разработана методика, позволяющая с высокой точностью определять энергии переходов в атомных
 ядрах. Методика основана на измерении разности энергии линий электронов внутренней конверсии на β-
 спектрометре высокого разрешения типа π SQRT(2) с железным ярмом и радиусом равновесной орбиты ρ = 50 см
 при постоянном магнитном поле спектрометра. Точность определения энергии переходов достигает от 0,2
 до 1 эВ для области энергии от 100 до 500 кэВ, что полностью соответствует требованиям, предъявляемым к
 энергетическим нормалям 4-го порядка.
first_indexed 2025-12-07T16:31:23Z
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fulltext DETERMINATION OF THE ENERGY STANDARDS BY PRECISION BETA-SPECTROSCOPY METHODS V.T. Kupryashkin, A.P. Lashko, T.N. Lashko, A.I. Feoktistov, V.P. Khomenkov Institute for Nuclear Research, Kiev, Ukraine e-mail: lashkoa@kinr.kiev.ua The technique allowing one to determine energy of transitions in atomic nuclei with high accuracy is developed. It is based on measurement of a difference of energy of internal conversion electron lines on high-resolution β- spectrometer 2π with iron yoke and radius of an equilibrium orbit r = 50 cm at a constant magnetic spectrometer field. The accuracy of definition of γ-ray energies reaches from 0,2 up to 1 eV in the energy region from 100 up to 500 keV. That completely corresponds to the requirements to energy standards of 4-th order. PACS: 23.20.Lv, 23.20.Nx, 29.30.-h 1. INTRODUCTION The relative measurements, as a rule, are carried out easier than absolute ones: various physical quantities and mistakes need not to be measured; and hence uncertainties and regular errors related to these quantities are eliminated. It is especially convenient to carry out comparisons with the objects for which the quantity to be measured is already known with high accuracy. The preliminary choice or creation of such objects is necessary. Nuclear spectroscopy standards can be used as the base objects in nuclear spectroscopy. According to B.S. Dzhelepov [1], it is possible to classify them as follows: 1. The transition in 86Kr, having wave-length in vacuum λ = 6057,80211 Å, is called standard of the first order. 2. Standards of the second order are selected according to the following rules: a) wave-length of the second-order standard should be determined by comparison with the wave-length of the first-order standard; b) the comparison is carried out with accuracy corresponding to the best modern works. 3. The third-order standards are a) the nuclear transitions, wave-lengths of which are determined by comparison with the wave-lengths of either first-order standards, or second-order ones. The comparison should be made at a modern level of accuracy by means of the methods, which are based on the well-known physical laws; b) the transitions energies of which are determined using two standards of the third order and the Ritz rule: E1+E2=E3. 4. Spectral lines, energies of which are determined by comparison with the standards of the second and third order, are called the fourth-order standards. It is possible to use the methods in which energy of the transition is determined by using a curve constructed on several standards of the second and third order. As the second-order standard, γ411,8 198Hg is used. Its energy is 411,80205 ± 0,00017 keV [2] for today. The requirements to accuracy of definition of energy of the third and fourth-order standards constantly vary with improvement of the measurement methods. According to last Helmer review [3], the list of the recommended energy standards for nuclear spectroscopy includes only those γ-rays, for which the relative error in energy definition does not exceed 10-5. Last years, along with crystal diffraction spectrometers, X-ray HPGe-detectors which allow determination of the energy of transitions in the region up to 300 keV with accuracy about 1 eV are widely used for precision measurements of energy of γ-rays arising in the decay of radioactive nuclei. Due to them, the number of standards is increased up to 260. They cover the energy range from 24 up to 4800 keV. However, it is not enough for needs of nuclear spectroscopy. 2. EXPERIMENTAL TECHNIQUE 2.1. EQUIPMENT We developed a technique allowing us to reach high accuracy of definition of transition energies on magnetic β-spectrometer 2π with iron yoke and radius of an equilibrium orbit ρ = 50 cm. It is based on measurement of energy difference of two internal conversion electron lines at a constant magnetic field of the spectrometer. One of these lines, which energy is well-known, is using as standard. In the experiment we measured dependence of electron rate on the value of voltage enclosed between the source and the chamber spectrometer. The distance between conversion lines is obtained directly in electron-volt. Stability of the voltage, applied to the source, is maintained through the specially constructed PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2004, № 5. Series: Nuclear Physics Investigations (44), p. 67-71. 67 block. It ensures the voltage accuracy of 5⋅10-5, and the drift of voltage for seven day of continuous work of the system does not exceed 8⋅10-5. The magnetic field of spectrometer is stabilized in three points along radius by a nuclear magnetic resonance method (NMR) with accuracy not worse than 5⋅10-6 [4]. The registration of conversion electrons is carried out by two Geiger- Muller counters included in the coincidence scheme. To reduce possible instability in the work of the system we carried out short sets of measurements with accumulation of the received information on the computer by repeated scanning of the spectrum in both directions of the voltage change. The resolution of our spectrometer is R1/2 = 0,03% on Bρ under Ω = 0,07% from 4π. 2.2. THE PROGRAMS USED FOR PROCESSING OF CONVERSION SPECTRA The rigid requirements to accuracy of transition energy definition can not be satisfied without the high- quality mathematical processing of the results of measurements. To process internal conversion electron spectra, special programs based on the method of fitting the "instrumental" peak into the spectrum region of interest [5] were constructed. This technique implies high-statistical-accuracy measuring a single conversion peak from the obtained spectrum or, if such a peak is absent, specially measured single conversion peak with the shape similar to that of the line in the studied region of spectrum. After subtraction of the background, it is described by the multiple cubic-spline interpolation, and it is used as "instrumental", i.e. defines the experimental peak shape for the subsequent analysis by the least- squares method. Assuming that all peaks have the same shape, the region of conversion spectrum is described by ∑ = ++++= n i ii EXDXCXBFAXY 1 2)()( , (1) where )(XY is count rate, provided that the voltage on the source is X; n is the number of peaks in the region; Ai is the ratio of the intensities of the i-th conversion peak and the "instrumental" peak; Bi is the distance along X-axis between positions of the i-th conversion peak and the "instrumental" peak; if distances between some peaks are known with high accuracy, then corresponding parameters Bi can be set initially and they need not be changed during fitting; F(X) describes "instrumental" peak in the table form; C, D, E are the parameters describing constant, linear, and quadratic background, correspondingly. Parameters C, D, E are set initially, and they are changing during fitting. Typically, in short spectrum regions D=E=0. In some cases background can be described by the dependence of the more complicated form than quadratic parabola. It is not always possible to measure the tabular line at the same field as the spectrum section of interest. Therefore, if conversion spectrum is measured at the magnetic field corresponding to the NMR frequency f1, and the line, which is used as the tabular one, is measured at the frequency f2; then, according to the known dependence of the line shape on the magnitude of magnetic field, the section of spectrum is described by the following expression: 2 1 21]/)([)( EXDXC dXdBFAXY n i iiii +++ +−++= ∑ = α (2) where di is the distance from the coordinate origin to the i-th peak position; ' 1 ' 22121 )/()(/ ρρα BBff= defines transformation of the "instrumental" peak in the spectrum. Here ' 1 ' 2 )/()( ρρ BB is the ratio of the magnetic rigidity derivatives with respect to energy. Often the leading tail of the "instrumental" peak is imposed by other peaks of the spectrum. In such a case, to determine the tail of the "instrumental" peak, we extrapolate it linearly or quadratically; the parameters of extrapolation are also determined during common fitting. Initial approximate values of all the parameters, along with their increments, are entered manually from the keyboard. Final values are obtained as a result of χ2- value minimization: ∑ =         −= N i i ii YY 1 2 2 σ χ , (3) where Yi is the observed count rate in the i-th point; σi is its uncertainty; N is the number of points in the analyzed spectrum region. Standard deviations for Ai parameters are determined by the formula: 2/12 )~( εkki AA =∆ , k = 1, 2, …, n, (4) where ε2 = χ2/(N-m) is reduced χ2-value per 1 degree of freedom; N is the number of points in the analyzed spectrum region; m is the number of varying parameters; n is the number of conversion peaks in analyzed region; kkA~ are the elements of inverse matrix in the solution of the set of linear equations. Since, in fact, we use the experimental peak as the "instrumental" one, at a good quality of fit the ε2-value is about 2. Deviations of all the fitting parameters αi can also be obtained using parabolic dependence χ2(αi) around minimized value χ2 min. Other parameters are fixed and they correspond to the optimized values. Standard deviations ∆αi are determined using the relation: 1)( 2 min 2 +=∆± χααχ i opt i (5) where αi opt is the optimized value of αi parameter which minimizes χ2-value. 68 2.3. ANALYSIS OF POSSIBLE ERRORS OF MEASUREMENTS Precision measurements require careful analyzing and excluding all possible errors of the experiment. In our method of measurements of conversion spectra the scanning of spectra is carried out by the electrical field at a constant magnitude of the magnetic field. The scanning of the spectrum in a direct and return direction allowed us to eliminate possible errors related to relaxations of the magnetic field at a traditional way of spectra recording N(B). The voltage divider determining the energy of electrons was collected from exact resistances that do not allow the errors to be more than 0,5% per channel. The resistances were selected in such a way that their deviations from the real value were mutually compensated. Possible deviations due to the change of temperature, pressure, humidity and other changes of external conditions are averaged in the following way. The results are determined from several measurements of conversion spectra. Each measurement consists of the large number of short series (∆t ≤ 1 hour), sometimes reaching up to 100. Each set of measurements is recorded in the computer, and then it is processed. The measurements are compared with each other to reveal whether the weight errors are compatible with the statistical straggling errors. The large mismatches were not observed. It indicates that external conditions have insignificant influence on the results of the experiment. We did not observed calibration errors that could not be avoided by introduction of the appropriate corrections at the determination of the relative position of conversion lines. The special attention was paid to the value of uncontrollable systematic inaccuracy of measurements at determination of the relative position of conversion lines. To estimate its value, we carried out special measurements, in which we have precisely determined the relative positions of conversion lines L152 - L146 in the decay of 183Ta; and after that we compared it to the difference of energies of the corresponding γ-rays. The fragment of internal conversion spectrum is given in Fig. 1. The absolute value of the energies of γ46 and γ52 have been measured earlier with high accuracy (about 0,2 eV) on the crystal-diffraction spectrometers [6]. In the measurements of conversion spectra we achieved such accuracy, that the corresponding statistical error in definition of the relative positions of conversion lines was small (about 0,25 eV). In this case the discrepancy of differences of transition energies obtained in our measurements and in the measurements with γ-rays should be explained mainly by the systematic inaccuracy of the experiment. This inaccuracy is 0,7 eV at the relative distance between lines of 6111 eV. At higher energy of conversion electrons and with decreasing the distance between lines, the systematic inaccuracy should be even less. -4000 -3000 -2000 -1000 0 2000 3000 4000 0 4000 8000 12000 16000 20000 K103 L 2 52 L152 L 3 46 L 2 46 SHIFT, eV L 1 46 K109 COUNTS Fig. 1. The L-subshell conversion electron spectrum of the γ46 and γ52 keV transitions in 183W 3. MEASUREMENT OF ENERGY OF GAMMA-TRANSITIONS IN THE DECAY OF 183,184,184mRE The possibilities of our technique completely revealed themselves in the precision energy measurements of some transitions in the decay of rhenium. The sources 183,184,184mRe were received on cyclotron in reactions (d,n) and (d,2n) by means of irradiating the wolfram foil with the natural contents of isotopes by deuterons with energy 13,6 MeV. After irradiation the Re-fraction was separated by the radiochemical method, and it was electrodeposited on platinum substrates of the size 0,4×20 mm2. On high-resolution magnetic β-spectrometer the separate sections of the internal conversion electron spectrum were measured. These sections were selected in such way that one of the lines belongs to the decay of 183Re, in which the energies of γ-rays are known with high accuracy, while the other line corresponds to the decay of 184,184mRe, for which such measurements have not been performed. Energies of the transitions belonging to the decay of 183Re have been measured with high accuracy on the crystal-diffraction spectrometer in the decay 183Та [6]. As the binding energies of electrons in atom are known with high accuracy (0,3…0,4 eV [7, 8]), exact value of the energy difference for corresponding γ-rays, as well as absolute magnitudes of these energies, can be determined using the energy difference for conversion lines. Gamma-ray energy is determined from the following relation: ∆+−=− ijij EE εε , (6) where Ej and Ei are the energies of the γ-ray under consideration and the standard one; εj and εi are their binding energies on corresponding atomic shells; ∆ is the measured energy difference for conversion lines. 69 Energies Ei of the standard γ-rays, energy differences ∆ for conversion lines, and energies Ej of γ-rays under investigation Energy of the standard γ-ray Ei, eV Measured energy difference for conversion lines ∆ Values of energy difference ∆, eV Energy of the studied γ-ray Ej, eV Location of γ-transitions in the decay scheme 46485,01(20) ∆(M146 – L156) 486,2(6) 55279,0(8) 1501, keV, 7- → 446 keV, 6- 184W 52596,48(18) ∆(L263 – N152) 143,7(13) 63689,0(14) 1285, keV, 5- → 1221 keV, 3- 184W 99081,82(27) ∆(L299 – M383) 6598,4(8) 83306,7(8) 188, keV, 8+ → 104 keV, 4- 184Re 99081,82(27) ∆(K104 – K99) 3506,3(13) 104739,5(14) 104, keV, 4- → 0 keV, 3- 184Re 107933,7(3) ∆(K111 – K107) 3283,7(3) 111217,4(4) 111, keV, 2+ → 0 keV, 0+ 184W 107933,7(3) ∆(L2111 – L1107) 3839,3(10) 111217,2(11) 111, keV, 2+ → 0 keV, 0+ 184W Note: statistical errors of measurements are listed Corrections related to the energy of the recoil nucleus are small for our γ-ray energy region, and hence they can be neglected. Energy values Ei of those γ-rays which were used as the standard ones, energy difference ∆ of the measured conversion lines, and obtained energies Ej of γ-rays under study are listed in the table. As the standards we used the values of transition energies that were recommended in [1] as the third-order standards. As seen from the table, the energy of the transition 111, keV, 2+ → 0 keV, 0+ 184W was determined by measuring energy difference of two different pairs of conversion lines. Results agree well within listed errors. This is a direct confirmation of the conclusion that systematic errors are small and do not exceed 1 eV according to our estimations. As an example, some other results of our precision measurements can be given. Fragments of γ-spectrum and spectrum of internal conversion electrons for the same transitions from the decay of 181Hf that were measured on the semiconductor and magnetic spectrometer, correspondingly, are shown in Fig. 2 and Fig. 3. 6750 6800 6850 6900 6950 7000 7050 0,0 5,0x104 1,0x105 1,5x105 2,0x105 2,5x105 γ 137 γ 133 γ 136 CHANNEL x10 COUNTS Fig. 2. The γ-ray spectrum of 181Hf measured by using a 5 см3 HPGe-detector with resolution of 490 eV FWHM at γ122 keV 57Со 0 50 100 150 200 250 300 350 400 0 5000 10000 15000 20000 25000 30000 K137 × 4 K133 K136 CHANNEL COUNTS Fig. 3. The conversion electron spectrum for 181Hf measured by using an iron yoke double-focusing magnetic β-spectrometer with a momentum resolution of R1/2 = 0,04 % Higher resolution of β-spectrometer allows us not only to resolve studied transitions in the spectrum, but also to determine their energy difference with the accuracy about 0,3 eV [9]. 4. CONCLUSIONS The proposed technique allows one to reach accuracy of determination of energy transitions from 0,2 up to 1 eV for the energy region from 100 keV up to 500 keV. That completely corresponds to the requirements to the 4-th-order standards. If we investigate transitions of weak intensity or in the case when it is not possible to produce radioactive sources of high specific activity, the proposed method of transition energy determination is more preferable that one which makes use of crystal-diffraction spectrometers. 70 REFERENCES 1. B.S. Dzhelepov, S.A. Shestopalova. Standards for nuclear spectroscopy. M.: “Atomizdat”, 1980, 232 р. (in Russian). 2. R.G. Helmer, C. van der Leun. Recommended standards for γ-ray energy calibration (1999) // Nucl. Instrum. Meth. Phys. Res. A. 1999, v. 422, p. 525-531. 3. R.G. Helmer, C. van der Leun. Recommended standards for γ-ray energy calibration (1999) // Nucl. Instrum. Meth. Phys. Res. A. 2000, v. 450, p. 35-70. 4. V.V. Bulgakov, V.I. Gavrilyuk, A.P. Lashko et al. High-resolution magnetic beta-spectrometer of KINR: Preprint KINR 86-33, Kiev: KINR, 1986, 48 p. (in Russian). 5. A.P. Lashko, T.N. Lashko, A.A. Odinzov, V.P. Khomenkov. The complex analysis of the plutonium isotope composition from the accident release of the 4-th unit of Chernobyl NPP // Atomnaya Energiya. 2001, v. 91, №6, p. 443-448 (in Russian). 6. G.L. Borchert., W. Scheck., Q.W.B Schult. Curved crystal spectrometer for precise energy measurement of gamma-rays from 30 to 1500 keV // Nucl. Instrum. and Meth. 1975, v. 124, p. 107- 117. 7. J.A Bearden. X-ray wavelengths // Rew. Mod. Phys. 1967, v. 39, №1, p. 78-124. 8. J.A Bearden, A.F. Burr. Reevaluation of X- ray atomic energy levels // Rew. Mod. Phys. 1967, v. 39, №1, p. 125-142. 9. A.P. Lashko, T.N. Lashko. About hyperfine structure of conversion lines // Scientific Papers of the Institute for Nuclear Research. 2003, №2(10), p. 46-52 (in Russian). ОПРЕДЕЛЕНИЕ ЭНЕРГЕТИЧЕСКИХ НОРМАЛЕЙ МЕТОДАМИ ПРЕЦИЗИОННОЙ БЕТА-СПЕКТРОСКОПИИ В.Т. Купряшкин, А.П. Лашко, Т.Н. Лашко, А.И. Феоктистов, В.П. Хоменков Разработана методика, позволяющая с высокой точностью определять энергии переходов в атомных ядрах. Методика основана на измерении разности энергии линий электронов внутренней конверсии на β- спектрометре высокого разрешения типа 2π с железным ярмом и радиусом равновесной орбиты ρ = 50 см при постоянном магнитном поле спектрометра. Точность определения энергии переходов достигает от 0,2 до 1 эВ для области энергии от 100 до 500 кэВ, что полностью соответствует требованиям, предъявляемым к энергетическим нормалям 4-го порядка. ВИЗНАЧЕННЯ ЕНЕРГЕТИЧНИХ НОРМАЛЕЙ МЕТОДАМИ ПРЕЦИЗІЙНОЇ БЕТА-СПЕКТРОСКОПІЇ В.Т. Купряшкін, А.П. Лашко, Т.М. Лашко, О.І. Феоктістов, В.П. Хоменков Розроблено методику, яка дозволяє з високою точністю визначати енергії переходів в атомних ядрах. Методика основана на вимірах енергії електронів внутрішньої конверсії на β-спектрометрі високої роздільної здатності типу 2π з залізним ярмом і радіусом рівноважної орбіти ρ = 50 см при постійному магнітному полі спектрометра. Точність визначення енергії переходів сягає від 0,2 до 1 еВ для області енергії від 100 до 500 кеВ, що повністю відповідає вимогам до енергетичних нормалей 4-го порядку. 71 Institute for Nuclear Research, Kiev, Ukraine PACS: 23.20.Lv, 23.20.Nx, 29.30.-h REFERENCES В.Т. Купряшкин, А.П. Лашко, Т.Н. Лашко, А.И. Феоктистов, В.П. Хоменков В.Т. Купряшкін, А.П. Лашко, Т.М. Лашко, О.І. Феоктістов, В.П. Хоменков
id nasplib_isofts_kiev_ua-123456789-80521
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1562-6016
language English
last_indexed 2025-12-07T16:31:23Z
publishDate 2004
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
record_format dspace
spelling Kupryashkin, V.T.
Lashko, A.P.
Lashko, T.N.
Feoktistov, A.I.
Khomenkov, V.P.
2015-04-18T17:46:39Z
2015-04-18T17:46:39Z
2004
Determination of the energy standards by precision beta-spectroscopy methods / V.T. Kupryashkin, A.P. Lashko, T.N. Lashko, A.I. Feoktistov, V.P. Khomenkov // Вопросы атомной науки и техники. — 2004. — № 5. — С. 67-71. — Бібліогр.: 9 назв. — англ.
1562-6016
PACS: 23.20.Lv, 23.20.Nx, 29.30.-h
https://nasplib.isofts.kiev.ua/handle/123456789/80521
The technique allowing one to determine energy of transitions in atomic nuclei with high accuracy is developed.
 It is based on measurement of a difference of energy of internal conversion electron lines on high-resolution β-
 spectrometer π SQRT(2) with iron yoke and radius of an equilibrium orbit r = 50 cm at a constant magnetic spectrometer
 field. The accuracy of definition of γ-ray energies reaches from 0,2 up to 1 eV in the energy region from 100 up to
 500 keV. That completely corresponds to the requirements to energy standards of 4-th order.
Розроблено методику, яка дозволяє з високою точністю визначати енергії переходів в атомних ядрах.
 Методика основана на вимірах енергії електронів внутрішньої конверсії на β-спектрометрі високої
 роздільної здатності типу π SQRT(2) з залізним ярмом і радіусом рівноважної орбіти ρ = 50 см при постійному
 магнітному полі спектрометра. Точність визначення енергії переходів сягає від 0,2 до 1 еВ для області
 енергії від 100 до 500 кеВ, що повністю відповідає вимогам до енергетичних нормалей 4-го порядку.
Разработана методика, позволяющая с высокой точностью определять энергии переходов в атомных
 ядрах. Методика основана на измерении разности энергии линий электронов внутренней конверсии на β-
 спектрометре высокого разрешения типа π SQRT(2) с железным ярмом и радиусом равновесной орбиты ρ = 50 см
 при постоянном магнитном поле спектрометра. Точность определения энергии переходов достигает от 0,2
 до 1 эВ для области энергии от 100 до 500 кэВ, что полностью соответствует требованиям, предъявляемым к
 энергетическим нормалям 4-го порядка.
en
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
Вопросы атомной науки и техники
Экспериментальные методы и обработка данных
Determination of the energy standards by precision beta-spectroscopy methods
Визначення енергетичних нормалей методами прецизійної бета-спектроскопії
Определение энергетических нормалей методами прецизионной бета-спектроскопии
Article
published earlier
spellingShingle Determination of the energy standards by precision beta-spectroscopy methods
Kupryashkin, V.T.
Lashko, A.P.
Lashko, T.N.
Feoktistov, A.I.
Khomenkov, V.P.
Экспериментальные методы и обработка данных
title Determination of the energy standards by precision beta-spectroscopy methods
title_alt Визначення енергетичних нормалей методами прецизійної бета-спектроскопії
Определение энергетических нормалей методами прецизионной бета-спектроскопии
title_full Determination of the energy standards by precision beta-spectroscopy methods
title_fullStr Determination of the energy standards by precision beta-spectroscopy methods
title_full_unstemmed Determination of the energy standards by precision beta-spectroscopy methods
title_short Determination of the energy standards by precision beta-spectroscopy methods
title_sort determination of the energy standards by precision beta-spectroscopy methods
topic Экспериментальные методы и обработка данных
topic_facet Экспериментальные методы и обработка данных
url https://nasplib.isofts.kiev.ua/handle/123456789/80521
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