Ferrand, G., Huber, G., Luong, M., and Desvaux, H.: Nuclear spin noise in NMR
revisited, J. Chem. Phys., 143, 094201, https://doi.org/10.1063/1.4929783, 2015.
Field, T. R.: Dynamical theory of spin noise and relaxation: Prospects for
real-time NMR measurements, Phys. Rev., E, 90, 052144, https://doi.org/10.1103/PhysRevE.90.052144, 2014.
Field, T. R. and Bain, A. D.: A dynamical theory of spin relaxation, Phys.
Rev., E, 87, 022110, https://doi.org/10.1103/PhysRevE.87.022110, 2013.
Ginthör, S. J., Chandra, K., Bechmann, M., Rodin, V. V., and Müller,
N.: Spin-noise-detected two-dimensional nuclear magnetic resonance at triple
sensitivity, ChemPhysChem, 19, 907–912, https://doi.org/10.1002/cphc.201800008,
2018.
Guéron, M.: A coupled resonator model of the detection of nuclear
magnetic resonance: Radiation damping, frequency pushing, spin noise, and
the signal-to-noise ratio, Magn. Reson. Med., 19, 31–41,
https://doi.org/10.1002/mrm.1910190104, 1991.
Guéron, M. and Leroy, J. L.: NMR of water protons. The detection of
their nuclear-spin noise, and a simple determination of absolute probe
sensitivity based on radiation damping, J. Magn. Reson., 85, 209–215,
https://doi.org/10.1016/0022-2364(89)90338-7, 1989.
Henry, C. H.: Theory of spontaneous emission noise in open resonators and
its application to lasers and optical amplifiers, J. Light. Technol., 4,
288–297, https://doi.org/10.1109/JLT.1986.1074715, 1986.
Hrabe, J., Kaur, G., and Guilfoyle, D. N.: Principles and limitations of NMR
diffusion measurements, J. Med. Phys., 32, 34–42,
https://doi.org/10.4103/0971-6203.31148, 2007.
Jurkiewicz, A.: Simultaneous observation of NMR spin noise and maser
spontaneous emission, Chem. Phys. Lett., 623, 55–59,
https://doi.org/10.1016/j.cplett.2015.01.044, 2015.
Khintchine, A.: Korrelationstheorie der stationären stochastischen
Prozesse, Mathem. Annal., 109, 604–615, https://doi.org/10.1007/BF01449156, 1934.
Krishnan, V. V. and Murali, N.: Radiation damping in modern NMR experiments:
Progress and challenges, Prog. Nucl. Magn. Reson. Spectrosc., 68, 41–57,
https://doi.org/10.1016/j.pnmrs.2012.06.001, 2013.
Kuchel, P. W., Pagès, G., Nagashima, K., Velan, S., Vijayaragavan, V.,
Nagarajan, V., and Chuang, K. H.: Stejskal-Tanner equation derived in full,
Concepts Magn. Reson. Pt. A, 40, 205–214, https://doi.org/10.1002/cmr.a.21241,
2012.
Marion, D. J.-Y. and Desvaux, H.: An alternative tuning approach to enhance
NMR signals, J. Magn. Reson., 193, 153–157,
https://doi.org/10.1016/j.jmr.2008.04.026, 2008.
MATLAB: Version 7.10.0 (R2010a), The MathWorks Inc., Natick, Massachusetts,
2010.
McCoy, M. A. and Ernst, R. R.: Nuclear spin noise at room temperature, Chem.
Phys. Lett., 159, 587–593, https://doi.org/10.1016/0009-2614(89)87537-2, 1989.
Müller, N. and Jerschow, A.: Nuclear spin noise imaging, P. Natl.
Acad. Sci. USA, 103, 6790–6792, https://doi.org/10.1073/pnas.0601743103, 2006.
Nausner, M., Schlagnitweit, J., Smrečki, V., Yang, X., Jerschow, A., and
Müller, N.: Non-linearity and frequency shifts of nuclear magnetic
spin-noise, J. Magn. Reson., 198, 73–79, https://doi.org/10.1016/j.jmr.2009.01.019,
2009.
Nichol, J. M., Naibert, T. R., Hemesath, E. R., Lauhon, L. J., and Budakian,
R.: Nanoscale Fourier-transform magnetic resonance imaging, Phys. Rev. X,
3, 031016, https://doi.org/10.1103/PhysRevX.3.031016, 2013.
Pöschko, M. T., Schlagnitweit, J., Huber, G., Nausner, M.,
Horničáková, M., Desvaux, H., and Müller, N.: On the tuning
of high-resolution NMR probes, ChemPhysChem., 15, 3639–3645,
https://doi.org/10.1002/cphc.201402236, 2014.
Pöschko, M. T., Vuichoud, B., Milani, J., Bornet, A., Bechmann, M.,
Bodenhausen, G., Jannin, S., and Müller, N.: Spin noise detection of
nuclear hyperpolarization at 1.2 K, ChemPhysChem., 16, 3859–3864,
https://doi.org/10.1002/cphc.201500805, 2015.
Pöschko, M. T., Peat, D., Owers-Bradley, J., and Müller, N.: Use of
Nuclear Spin Noise Spectroscopy to Monitor Slow Magnetization Buildup at
Millikelvin Temperatures, ChemPhysChem., 17, 3035, https://doi.org/10.1002/cphc.201600323, 2016.
Pöschko, M. T., Rodin, V. V., Schlagnitweit, J., Müller, N., and
Desvaux, H.: Nonlinear detection of secondary isotopic chemical shifts in
NMR through spin noise, Nat. Commun., 8, 1–9, https://doi.org/10.1038/ncomms13914,
2017.
Prammer, M. G.: NMR in well logging and hydrocarbon exploration, Appl. Magn.
Reson., 25, 637–649, https://doi.org/10.1007/BF03166554, 2004.
Rodin, V. V. (Ed.): Magnetic resonance in studying natural and synthetic
materials, Bentham Science Publishers Ltd., Sharjah, UAE, 2018.
Schlagnitweit, J., Morgan, S. W., Nausner, M., Müller, N., and Desvaux,
H.: Non-linear signal detection improvement by radiation damping in
single-pulse NMR spectra, ChemPhysChem., 13, 482–487,
https://doi.org/10.1002/cphc.201100724, 2012.
Sleator, T., Hahn, E. L., Hilbert, C., and Clarke, J.: Nuclear-spin noise,
Phys. Rev. Lett., 55, 1742–1745, https://doi.org/10.1103/PhysRevLett.55.1742, 1985.
Tanner, J. E. and Stejskal, E. O.: Restricted self-diffusion of protons in
colloidal systems by the pulsed-gradient, spin-echo method, J. Chem. Phys.,
49, 1768–1777, https://doi.org/10.1063/1.1670306, 1968.
Topspin: Version 3.2, Bruker BioSpin GmbH, Rheinstetten, Bruker BioSpin GmbH, Germany, 2012.
Wiener, N.: Generalized harmonic analysis, Acta Math. , 55, 117–258, https://doi.org/10.1007/bf02546511, 1930.
Wolfram Research Inc.: Mathematica, version 9, Champaign, Illinois,
available at:
https://www.wolfram.com/mathematica (last access: 21 October 2021), 2012.