<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya / Gyroscopy and Navigation</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-270</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>ЯМР-гироскопы со спин-обменной накачкой</article-title><trans-title-group xml:lang="en"><trans-title>Spin-Exchange-Pumped NMR Gyros</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Уокер</surname><given-names>Т. Дж.</given-names></name><name name-style="western" xml:lang="en"><surname>Walker</surname><given-names>T.G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Уокер Тэд Дж. Профессор</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ларсен</surname><given-names>М. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Larsen</surname><given-names>M.S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ларсен Майкл С. </p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Висконсинский университет в Мэдисоне</institution><country>Соединённые Штаты Америки</country></aff><aff xml:lang="en"><institution>University of Wisconsin-Madison, Madison, WI,</institution><country>United States</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Компания «Нортроп Грумман» (Northrop Grumman), отделение «Передовые концепции и технологии», Вудланд Хиллс (Калифорния).</institution><country>Соединённые Штаты Америки</country></aff><aff xml:lang="en"><institution>Northrop Grumman-Advanced Concepts and Technologies, Woodland Hills, CA</institution><country>United States</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>18</day><month>11</month><year>2025</year></pub-date><volume>26</volume><issue>1</issue><fpage>28</fpage><lpage>54</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Уокер Т., Ларсен М., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Уокер Т., Ларсен М.</copyright-holder><copyright-holder xml:lang="en">Walker T., Larsen M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.gyroscopy.ru/jour/article/view/270">https://www.gyroscopy.ru/jour/article/view/270</self-uri><abstract><p>Представлена базовая теория гироскопа на ядерном магнитном резонансе (ЯМР) со спин-обменной накачкой. Дан обзор физики спин-обменных столкновений и релаксации в той мере, в какой они влияют на точностные характеристики ЯМР. Представлены простая модель ЯМР-осциллятора и ее применение для анализа динамического отклика и шумовых свойств осциллятора. Рассматриваются основные систематические погрешности (дифференциальные поля, созданные щелочным металлом, квадрупольные сдвиги и дрейфы сдвига), ограничивающие стабильность смещения нуля, и обсуждаются методы их минимизации. Дается краткий обзор практического применения и характеристик ЯМР-гироскопа, изготовленного фирмой Northrop Grumman Corporation, и в заключение даны некоторые комментарии о перспективах на будущее.</p></abstract><trans-abstract xml:lang="en"><p>We present the basic theory governing spin-exchange-pumped nuclear magnetic resonance (NMR) gyros. We review the physics of spin-exchange collisions and relaxation as they pertain to precision NMR. We present a simple model of operation as an NMR oscillator and use it to analyze the dynamic response and noise properties of the oscillator. We discuss the primary systematic errors (differential alkali fields, quadrupole shifts, and offset drifts) that limit the bias stability, and discuss methods to minimize them. We give with a brief overview of a practical implementation and performance of an NMR gyro built by Northrop Grumman Corporation and conclude with some comments about future prospects.</p></trans-abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Albert, M.S., Cates, G.D., Driehuys, B., Happer, W., Saam, B., Springer, C.S., Wishnia, A., 1994. Biological magnetic resonance imaging using laser-polarized 129Xe. Nature 370, 199.</mixed-citation><mixed-citation xml:lang="en">Albert, M.S., Cates, G.D., Driehuys, B., Happer, W., Saam, B., Springer, C.S., Wishnia, A., 1994. Biological magnetic resonance imaging using laser-polarized 129Xe. Nature 370, 199.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Bhaskar, N., Happer, W., McClelland, T., 1982. Efficiency of spin exchange between rubidium spins and 129Xe nuclei in a gas. Phys. Rev. Lett. 49, 25.</mixed-citation><mixed-citation xml:lang="en">Bhaskar, N., Happer, W., McClelland, T., 1982. Efficiency of spin exchange between rubidium spins and 129Xe nuclei in a gas. Phys. Rev. Lett. 49, 25.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Bhaskar, N., Happer, W., Larsson, M., Zeng, X., 1983. Slowing down of rubidium-induced nuclear spin relaxation of 129Xe gas in a magnetic field. Phys. Rev. Lett. 50, 105.</mixed-citation><mixed-citation xml:lang="en">Bhaskar, N., Happer, W., Larsson, M., Zeng, X., 1983. Slowing down of rubidium-induced nuclear spin relaxation of 129Xe gas in a magnetic field. Phys. Rev. Lett. 50, 105.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Bouchiat, M.A., Carver, T.R., Varnum, C.M., 1960. Nuclear polarization in He3 gas induced by optical pumping and dipolar exchange. Phys. Rev. Lett. 5, 373–375.</mixed-citation><mixed-citation xml:lang="en">Bouchiat, M.A., Carver, T.R., Varnum, C.M., 1960. Nuclear polarization in He3 gas induced by optical pumping and dipolar exchange. Phys. Rev. Lett. 5, 373–375.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">http://link.aps.org/doi/10.1103/PhysRevLett.5.373.</mixed-citation><mixed-citation xml:lang="en">http://link.aps.org/doi/10.1103/PhysRevLett.5.373.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Brinkmann, D., Brun, E., Staub, H.H., 1962. Kernresonanz im gasformigen xenon. Helv. Phys. Acta 35, 431.</mixed-citation><mixed-citation xml:lang="en">Brinkmann, D., Brun, E., Staub, H.H., 1962. Kernresonanz im gasformigen xenon. Helv. Phys. Acta 35, 431.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Brown, J.M., Smullin, S.J., Kornack, T.W., Romalis, M.V., 2010. New limit on Lorentzand cptviolating neutron spin interactions. Phys. Rev. Lett. 105, 151604. http://link.aps.org/doi/10.1103/PhysRevLett.105.151604.</mixed-citation><mixed-citation xml:lang="en">Brown, J.M., Smullin, S.J., Kornack, T.W., Romalis, M.V., 2010. New limit on Lorentzand cptviolating neutron spin interactions. Phys. Rev. Lett. 105, 151604. http://link.aps.org/doi/10.1103/PhysRevLett.105.151604.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Bulatowicz, M., Griffith, R., Larsen, M., Mirijanian, J., Fu, C.B., Smith, E., Snow, W.M., Yan, H., Walker, T.G., 2013, Sep. Laboratory search for a long-range t-odd, p-odd interaction from axionlike particles using dual-species nuclear magnetic resonance with polarized 129Xe and 131Xe gas. Phys. Rev. Lett. 111, 102001. http://link.aps.org/doi/10.1103/PhysRevLett.111.102001.</mixed-citation><mixed-citation xml:lang="en">Bulatowicz, M., Griffith, R., Larsen, M., Mirijanian, J., Fu, C.B., Smith, E., Snow, W.M., Yan, H., Walker, T.G., 2013, Sep. Laboratory search for a long-range t-odd, p-odd interaction from axionlike particles using dual-species nuclear magnetic resonance with polarized 129Xe and 131Xe gas. Phys. Rev. Lett. 111, 102001. http://link.aps.org/doi/10.1103/PhysRevLett.111.102001.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Chen, W.C., Gentile, T.R., Ye, Q., Walker, T.G., Babcock, E., 2014. On the limits of spinexchange optical pumping of He-3. J. Appl. Phys. 116 (1), 014903. ISSN: 0021-8979. http://dx.doi.org/10.1063/1.4886583.</mixed-citation><mixed-citation xml:lang="en">Chen, W.C., Gentile, T.R., Ye, Q., Walker, T.G., Babcock, E., 2014. On the limits of spinexchange optical pumping of He-3. J. Appl. Phys. 116 (1), 014903. ISSN: 0021-8979. http://dx.doi.org/10.1063/1.4886583.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Donley, E.A., 2010. Nuclear magnetic resonance gyroscopes. In: Sensors. IEEE, pp. 17–22. http://dx.doi.org/10.1109/ICSENS.2010.5690983. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumberј5690983.</mixed-citation><mixed-citation xml:lang="en">Donley, E.A., 2010. Nuclear magnetic resonance gyroscopes. In: Sensors. IEEE, pp. 17–22. http://dx.doi.org/10.1109/ICSENS.2010.5690983. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumberј5690983.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Donley, E.A., Kitching, J., 2013. Nuclear magnetic resonance gyroscopes. In: Budker, D., Jackson Kimball, D.F. (Eds.), Optical Magnetometry, Cambridge University Press, Cambridge, pp. 369–386 (Chapter 19).</mixed-citation><mixed-citation xml:lang="en">Donley, E.A., Kitching, J., 2013. Nuclear magnetic resonance gyroscopes. In: Budker, D., Jackson Kimball, D.F. (Eds.), Optical Magnetometry, Cambridge University Press, Cambridge, pp. 369–386 (Chapter 19).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Fang, J., Wan, S., Qin, J., Zhang, C., Quan, W., Yuan, H., Dong, H., 2013. A novel Cs-129Xe atomic spin gyroscope with closed-loop Faraday modulation. Rev. Sci. Instrum. 84 (8), 083108. http://scitation.aip.org/content/aip/journal/rsi/84/8/10. 1063/1.4819306.</mixed-citation><mixed-citation xml:lang="en">Fang, J., Wan, S., Qin, J., Zhang, C., Quan, W., Yuan, H., Dong, H., 2013. A novel Cs-129Xe atomic spin gyroscope with closed-loop Faraday modulation. Rev. Sci. Instrum. 84 (8), 083108. http://scitation.aip.org/content/aip/journal/rsi/84/8/10. 1063/1.4819306.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Glenday, A.G., Cramer, C.E., Phillips, D.F., Walsworth, R.L., 2008. Limits on anomalous spinspin couplings between neutrons. Phys. Rev. Lett. 101, 261801. http://link.aps.org/doi/10.1103/PhysRevLett.101.261801.</mixed-citation><mixed-citation xml:lang="en">Glenday, A.G., Cramer, C.E., Phillips, D.F., Walsworth, R.L., 2008. Limits on anomalous spinspin couplings between neutrons. Phys. Rev. Lett. 101, 261801. http://link.aps.org/doi/10.1103/PhysRevLett.101.261801.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Grover, B.C., 1978. Noble-gas NMR detection through noble-gas-rubidium hyperfine contact interaction. Phys. Rev. Lett. 40, 391.</mixed-citation><mixed-citation xml:lang="en">Grover, B.C., 1978. Noble-gas NMR detection through noble-gas-rubidium hyperfine contact interaction. Phys. Rev. Lett. 40, 391.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Grover, B.C., Kanegsberg, E., Mark, J.G., Meyer, R.L., 1979. Nuclear magnetic resonance gyro. U.S. Patent 4,157,495.</mixed-citation><mixed-citation xml:lang="en">Grover, B.C., Kanegsberg, E., Mark, J.G., Meyer, R.L., 1979. Nuclear magnetic resonance gyro. U.S. Patent 4,157,495.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Happer, W., Miron, E., Schaefer, S., Schreiber, D., van Wijngaarden, W.A., Zeng, X., 1984. Polarization of the nuclear spins of noble-gas atoms by spin exchange with optically pumped alkali-metal atoms. Phys. Rev. A 29, 3092.</mixed-citation><mixed-citation xml:lang="en">Happer, W., Miron, E., Schaefer, S., Schreiber, D., van Wijngaarden, W.A., Zeng, X., 1984. Polarization of the nuclear spins of noble-gas atoms by spin exchange with optically pumped alkali-metal atoms. Phys. Rev. A 29, 3092.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Happer, W., Jau, Y.Y., Walker, T.G., 2009. Optically Pumped Atoms. Wiley, Weinheim, Germany.</mixed-citation><mixed-citation xml:lang="en">Happer, W., Jau, Y.Y., Walker, T.G., 2009. Optically Pumped Atoms. Wiley, Weinheim, Germany.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Jau, Y.Y., Kuzma, N.N., Happer, W., 2002. High-field measurement of the 129Xe-Rb spin exchange rate due to binary collisions. Phys. Rev. A 66 (5), 052710. http://dx.doi.org/10.1103/PhysRevA.66.052710.</mixed-citation><mixed-citation xml:lang="en">Jau, Y.Y., Kuzma, N.N., Happer, W., 2002. High-field measurement of the 129Xe-Rb spin exchange rate due to binary collisions. Phys. Rev. A 66 (5), 052710. http://dx.doi.org/10.1103/PhysRevA.66.052710.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Kanegsberg, E., 1978. A nuclear magnetic resonance (NMR) gyro with optical magnetometer detection. SPIE Laser Inertial Rot. Sens. 157, 73–80.</mixed-citation><mixed-citation xml:lang="en">Kanegsberg, E., 1978. A nuclear magnetic resonance (NMR) gyro with optical magnetometer detection. SPIE Laser Inertial Rot. Sens. 157, 73–80.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Karwacki, F.A., 1980. Nuclear magnetic resonance gyro development. NAVIGATION 27, 72–78.</mixed-citation><mixed-citation xml:lang="en">Karwacki, F.A., 1980. Nuclear magnetic resonance gyro development. NAVIGATION 27, 72–78.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Kornack, T.W., Ghosh, R., Romalis, M.V., 2005. Nuclear spin gyroscope based on an atomic comagnetometer. Phys. Rev. Lett. 95 (23), 230801.</mixed-citation><mixed-citation xml:lang="en">Kornack, T.W., Ghosh, R., Romalis, M.V., 2005. Nuclear spin gyroscope based on an atomic comagnetometer. Phys. Rev. Lett. 95 (23), 230801.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Korver, A., Wyllie, R., Lancor, B., Walker, T.G., 2013. Suppression of spin-exchange relaxation using pulsed parametric resonance. Phys. Rev. Lett. 111, 043002. http://link.aps.org/doi/10.1103/PhysRevLett.111.043002.</mixed-citation><mixed-citation xml:lang="en">Korver, A., Wyllie, R., Lancor, B., Walker, T.G., 2013. Suppression of spin-exchange relaxation using pulsed parametric resonance. Phys. Rev. Lett. 111, 043002. http://link.aps.org/doi/10.1103/PhysRevLett.111.043002.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Korver, A., Thrasher, D., Bulatowicz, M., Walker, T.G., 2015. Synchronous spin-exchange optical pumping. Phys. Rev. Lett. 115, 253001. http://link.aps.org/doi/10.1103/PhysRevLett.115.253001.</mixed-citation><mixed-citation xml:lang="en">Korver, A., Thrasher, D., Bulatowicz, M., Walker, T.G., 2015. Synchronous spin-exchange optical pumping. Phys. Rev. Lett. 115, 253001. http://link.aps.org/doi/10.1103/PhysRevLett.115.253001.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Kwon, T.M., 1984. Nuclear magnetic resonance cell having improved temperature sensitivity and method for manufacturing same. U.S. Patent 4,461,996.</mixed-citation><mixed-citation xml:lang="en">Kwon, T.M., 1984. Nuclear magnetic resonance cell having improved temperature sensitivity and method for manufacturing same. U.S. Patent 4,461,996.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Kwon, T.M., Debley, W.P., 1984. Magnetic resonance cell and method for its fabrication. U.S. Patent 4,450,407.</mixed-citation><mixed-citation xml:lang="en">Kwon, T.M., Debley, W.P., 1984. Magnetic resonance cell and method for its fabrication. U.S. Patent 4,450,407.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Kwon, T.M., Volk, C.H., 1984. Magnetic resonance cell. U.S. Patent 4,446,428.</mixed-citation><mixed-citation xml:lang="en">Kwon, T.M., Volk, C.H., 1984. Magnetic resonance cell. U.S. Patent 4,446,428.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Kwon, T.M., Mark, J.G., Volk, C.H., 1981. Quadrupole nuclear spin relaxation of 129Xe in the presence of rubidium vapor. Phys. Rev. A 24, 1894–1903. http://link.aps.org/doi/10.1103/PhysRevA.24.1894.</mixed-citation><mixed-citation xml:lang="en">Kwon, T.M., Mark, J.G., Volk, C.H., 1981. Quadrupole nuclear spin relaxation of 129Xe in the presence of rubidium vapor. Phys. Rev. A 24, 1894–1903. http://link.aps.org/doi/10.1103/PhysRevA.24.1894.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Lam, L.K., Phillips, E., 1985. Apparatus and method for laser pumping of nuclear magnetic resonance cell. U.S. Patent 4,525,672.</mixed-citation><mixed-citation xml:lang="en">Lam, L.K., Phillips, E., 1985. Apparatus and method for laser pumping of nuclear magnetic resonance cell. U.S. Patent 4,525,672.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Larsen, M., Bulatowicz, M., 2012, may. Nuclear magnetic resonance gyroscope: for DARPA’s micro-technology for positioning, navigation and timing program. In: Frequency Control Symposium (FCS), 2012 IEEE International, pp. 1–5.</mixed-citation><mixed-citation xml:lang="en">Larsen, M., Bulatowicz, M., 2012, may. Nuclear magnetic resonance gyroscope: for DARPA’s micro-technology for positioning, navigation and timing program. In: Frequency Control Symposium (FCS), 2012 IEEE International, pp. 1–5.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Ledbetter, M.P., Pustelny, S., Budker, D., Romalis, M.V., Blanchard, J.W., Pines, A., 2012. Liquid-state nuclear spin comagnetometers. Phys. Rev. Lett. 108 (24), 243001. ISSN: 0031-9007. http://dx.doi.org/10.1103/PhysRevLett.108.243001.</mixed-citation><mixed-citation xml:lang="en">Ledbetter, M.P., Pustelny, S., Budker, D., Romalis, M.V., Blanchard, J.W., Pines, A., 2012. Liquid-state nuclear spin comagnetometers. Phys. Rev. Lett. 108 (24), 243001. ISSN: 0031-9007. http://dx.doi.org/10.1103/PhysRevLett.108.243001.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Liu, X.H., Luo, H., Qu, T.L., Yang, K.Y., Ding, Z.C., 2015. Measuring the spin polarization of alkali-metal atoms using nuclear magnetic resonance frequency shifts of noble gases. AIP Adv. 5 (10), 107119. http://scitation.aip.org/content/aip/journal/adva/5/10/10.1063/1.4932131.</mixed-citation><mixed-citation xml:lang="en">Liu, X.H., Luo, H., Qu, T.L., Yang, K.Y., Ding, Z.C., 2015. Measuring the spin polarization of alkali-metal atoms using nuclear magnetic resonance frequency shifts of noble gases. AIP Adv. 5 (10), 107119. http://scitation.aip.org/content/aip/journal/adva/5/10/10.1063/1.4932131.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Ma, Z.L., Sorte, E.G., Saam, B., 2011. Collisional 3He and 129Xe frequency shifts in Rb-noblegas mixtures. Phys. Rev. Lett. 106, 193005. http://link.aps.org/doi/10.1103/PhysRevLett.106.193005.</mixed-citation><mixed-citation xml:lang="en">Ma, Z.L., Sorte, E.G., Saam, B., 2011. Collisional 3He and 129Xe frequency shifts in Rb-noblegas mixtures. Phys. Rev. Lett. 106, 193005. http://link.aps.org/doi/10.1103/PhysRevLett.106.193005.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Meyer, D., Larsen, M., 2014. Nuclear magnetic resonance gyro for inertial navigation. Gyroscopy Navigat. 5, 75–82.</mixed-citation><mixed-citation xml:lang="en">Meyer, D., Larsen, M., 2014. Nuclear magnetic resonance gyro for inertial navigation. Gyroscopy Navigat. 5, 75–82.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Middleton, H., Black, R.D., Saam, B., Cates, G.D., Cofer, G.P., Guenther, R., Happer, W., Hedlund, L.W., Johnson, G.A., Juvan, K., Swartz, J., 1995. MR imaging with hyperpolarized 3He gas. Magn. Reson. Med. 33, 271.</mixed-citation><mixed-citation xml:lang="en">Middleton, H., Black, R.D., Saam, B., Cates, G.D., Cofer, G.P., Guenther, R., Happer, W., Hedlund, L.W., Johnson, G.A., Juvan, K., Swartz, J., 1995. MR imaging with hyperpolarized 3He gas. Magn. Reson. Med. 33, 271.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Nelson, I.A., Walker, T.G., 2001. Rb-Xe spin relaxation in dilute Xe mixtures. Phys. Rev. A 65 (1), 012712. http://dx.doi.org/10.1103/PhysRevA.65.012712.</mixed-citation><mixed-citation xml:lang="en">Nelson, I.A., Walker, T.G., 2001. Rb-Xe spin relaxation in dilute Xe mixtures. Phys. Rev. A 65 (1), 012712. http://dx.doi.org/10.1103/PhysRevA.65.012712.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Ramsey, N., Miron, E., Zeng, X., Happer, W., 1983. Formation and breakup rates of RbXe van der Waals molecules in He and N2 gas. Chem. Phys. Lett. 102, 340.</mixed-citation><mixed-citation xml:lang="en">Ramsey, N., Miron, E., Zeng, X., Happer, W., 1983. Formation and breakup rates of RbXe van der Waals molecules in He and N2 gas. Chem. Phys. Lett. 102, 340.</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Rosenberry, M.A., Chupp, T.E., 2001. Atomic electric dipole moment measurement using spinexchange pumped masers of 129Xe and 3He. Phys. Rev. Lett. 86, 22–25. http://link.aps.org/doi/10.1103/PhysRevLett.86.22.</mixed-citation><mixed-citation xml:lang="en">Rosenberry, M.A., Chupp, T.E., 2001. Atomic electric dipole moment measurement using spinexchange pumped masers of 129Xe and 3He. Phys. Rev. Lett. 86, 22–25. http://link.aps.org/doi/10.1103/PhysRevLett.86.22.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Schaefer, S.R., Cates, G.D., Chien, T.R., Gonatas, D., Happer, W., Walker, T.G., 1989. Frequency shifts of the magnetic-resonance spectrum of mixtures of nuclear spin-polarized noble gases and vapors of spin-polarized alkali-metal atoms. Phys. Rev. A 39 (11), 5613–5623. http://dx.doi.org/10.1103/PhysRevA.39.5613.</mixed-citation><mixed-citation xml:lang="en">Schaefer, S.R., Cates, G.D., Chien, T.R., Gonatas, D., Happer, W., Walker, T.G., 1989. Frequency shifts of the magnetic-resonance spectrum of mixtures of nuclear spin-polarized noble gases and vapors of spin-polarized alkali-metal atoms. Phys. Rev. A 39 (11), 5613–5623. http://dx.doi.org/10.1103/PhysRevA.39.5613.</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Singh, J.T., Dolph, P.A.M., Tobias, W.A., Averett, T.D., Kelleher, A., Mooney, K.E., Nelyubin, V.V., Wang, Y., Zheng, Y., Cates, G.D., 2015. Development of high-performance alkalihybrid polarized 3He targets for electron scattering. Phys. Rev. C 91, 055205. http://link.aps.org/doi/10.1103/PhysRevC.91.055205.</mixed-citation><mixed-citation xml:lang="en">Singh, J.T., Dolph, P.A.M., Tobias, W.A., Averett, T.D., Kelleher, A., Mooney, K.E., Nelyubin, V.V., Wang, Y., Zheng, Y., Cates, G.D., 2015. Development of high-performance alkalihybrid polarized 3He targets for electron scattering. Phys. Rev. C 91, 055205. http://link.aps.org/doi/10.1103/PhysRevC.91.055205.</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Smiciklas, M., Brown, J.M., Cheuk, L.W., Smullin, S.J., Romalis, M.V., 2011. New test of local Lorentz invariance using a 21Ne-Rb-K comagnetometer. Phys. Rev. Lett.107, 171604.http://link.aps.org/doi/10.1103/PhysRevLett.107.171604.</mixed-citation><mixed-citation xml:lang="en">Smiciklas, M., Brown, J.M., Cheuk, L.W., Smullin, S.J., Romalis, M.V., 2011. New test of local Lorentz invariance using a 21Ne-Rb-K comagnetometer. Phys. Rev. Lett.107, 171604.http://link.aps.org/doi/10.1103/PhysRevLett.107.171604.</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Volk, C.H., Kwon, T.M., Mark, J.G., 1980. Measurement of the Rb-87-Xe-129 spin-exchange cross section. Phys. Rev. A 1050-2947. 21 (5), 1549–1555. http://dx.doi.org/10.1103/PhysRevA.21.1549.</mixed-citation><mixed-citation xml:lang="en">Volk, C.H., Kwon, T.M., Mark, J.G., 1980. Measurement of the Rb-87-Xe-129 spin-exchange cross section. Phys. Rev. A 1050-2947. 21 (5), 1549–1555. http://dx.doi.org/10.1103/PhysRevA.21.1549.</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Walker, T.G., Happer, W., 1997. Spin-exchange optical pumping of noble-gas nuclei. Rev. Mod. Phys. 69, 629.</mixed-citation><mixed-citation xml:lang="en">Walker, T.G., Happer, W., 1997. Spin-exchange optical pumping of noble-gas nuclei. Rev. Mod. Phys. 69, 629.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Wu, Z., Happer, W., Kitano, M., Daniels, J., 1990. Experimental studies of wall interactions of adsorbed spin-polarized 131Xe nuclei. Phys. Rev. A 42, 2774.</mixed-citation><mixed-citation xml:lang="en">Wu, Z., Happer, W., Kitano, M., Daniels, J., 1990. Experimental studies of wall interactions of adsorbed spin-polarized 131Xe nuclei. Phys. Rev. A 42, 2774.</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Yoshimi, A., Inoue, T., Uchida, M., Hatakeyama, N., Asahi, K., 2008. Optical-coupling nuclear spin maser under highly stabilized low static field. Hyperfine Interact. 03043843. 181 (1–3), 111–114. http://dx.doi.org/10.1007/s10751-008-9630-z.</mixed-citation><mixed-citation xml:lang="en">Yoshimi, A., Inoue, T., Uchida, M., Hatakeyama, N., Asahi, K., 2008. Optical-coupling nuclear spin maser under highly stabilized low static field. Hyperfine Interact. 03043843. 181 (1–3), 111–114. http://dx.doi.org/10.1007/s10751-008-9630-z.</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Zeng, X., Wu, Z., Call, T., Miron, E., Schreiber, D., Happer, W., 1985. Experimental determination of the rate constants for spin exchange between optically pumped K, Rb, and Cs atoms and 129Xe nuclei in alkali-metal-noble-gas van der Waals molecules. Phys. Rev. A 31, 260.</mixed-citation><mixed-citation xml:lang="en">Zeng, X., Wu, Z., Call, T., Miron, E., Schreiber, D., Happer, W., 1985. Experimental determination of the rate constants for spin exchange between optically pumped K, Rb, and Cs atoms and 129Xe nuclei in alkali-metal-noble-gas van der Waals molecules. Phys. Rev. A 31, 260.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
