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1 independent of the nuclei bearing, or not, a nuclear spin.
2 equently encode the source qubit in a single nuclear spin.
3 g of the S = (1/2) electron spin and I = 7/2 nuclear spin.
4 ng block to form a solid-state qubit free of nuclear spin.
5  shield the vanadium centers against solvent nuclear spins.
6 and it has also been used for sensing single-nuclear spins.
7 isters by harnessing abundant weakly coupled nuclear spins.
8 ising from charge noise and from coupling to nuclear spins.
9 itialize, read out and control single (29)Si nuclear spins.
10 uctuating magnetic fields DeltaB produced by nuclear spins.
11 he advantage of interacting more weakly with nuclear spins.
12 uctures containing only 1 x 10(5) quadrupole nuclear spins.
13 ls is limited by hyperfine interactions with nuclear spins.
14 ssively suppressing the interaction with the nuclear spins.
15 he electron spin to its orbital motion or to nuclear spins.
16 cantly enhanced through hyperpolarization of nuclear spins.
17 eakage driven by interactions with substrate nuclear spins.
18 -to-photon interfaces and coherently coupled nuclear spins.
19 y transferring polarization from electron to nuclear spins.
20 rdering underlying localised moments such as nuclear spins.
21 g of the electrons and robust storage in the nuclear spins.
22 h by coherent control of single electron and nuclear spins.
23 ear spin bath, previously achievable only in nuclear spin-0 semiconductors, where qubit network inter
24 tiple samples and resolved spectra of hetero-nuclear spins ((1)H, (19)F, (13)C).
25 ear singlet states are nonmagnetic states of nuclear spin-1/2 pairs that may exhibit lifetimes much s
26       Rabi oscillations are observed in this nuclear spin-active environment ((1)H and (14)N nuclei)
27                                              Nuclear spins also featured in early proposals for solid
28  single electronic spin and several proximal nuclear spin ancillae in order to repetitively readout t
29 e to improve the readout by use of a pair of nuclear spin ancillae, an important step toward the real
30             Crucially, we find that both the nuclear spin and electron spin retain their coherence wh
31 focus on the interaction between 10(4)-10(6) nuclear spins and a spin of a single electron or valence
32    Here, we show that prepolarization of the nuclear spins and detection with a superconducting quant
33       By mitigating interactions with nearby nuclear spins and facilitating selective thermal measure
34 nvironmental decoherence: from phonons, from nuclear spins and from intermolecular dipolar interactio
35 lectronic angular momentum is transferred to nuclear spins and is exploited in quantum information pr
36 times given that the ligand shell is rich in nuclear spins and non-rigid.
37  an initial step towards this goal, isolated nuclear spins and spin pairs have been mapped(14-21).
38 sults from the coherent coupling between the nuclear spins and the inductive detector, can overcome t
39 noise ratio solid-state NMR spectra of (17)O nuclear spins and to probe sites on or near the surface,
40 diamond, weakly coupled to a large number of nuclear spins, and subjected to the Rabi driving with a
41 particular, but equally attractive for wider nuclear spin applications benefitting from ultra-sensiti
42 molecular vector defined by the electron and nuclear spin are well characterized by a stationary rand
43                                              Nuclear spins are highly coherent quantum objects.
44 In dissolution-dynamic nuclear polarization, nuclear spins are hyperpolarized at cryogenic temperatur
45 uggest that finely tuned, moderately coupled nuclear spins are key to the hyperpolarization process,
46 ecause of their smaller gyromagnetic ratios, nuclear spins are more difficult to manipulate than elec
47                Here, we use the NV intrinsic nuclear spin as a nonvolatile classical memory to store
48 nvironment, including the presence of (29)Si nuclear spins as found in natural silicon.
49 he nanoscale ensemble of arsenic quadrupolar nuclear spins as its hardware.
50 and extract the number of bound electron and nuclear spins as well as their locations.
51                            Here we show that nuclear-spin assisted quantum tunnelling can also contro
52 damental mode of relaxation arising from the nuclear-spin assisted quantum tunnelling of nearly indep
53  by a detection sensitivity of roughly 1,200 nuclear spins at a temperature of 600 mK.
54 system and making it convenient to implement nuclear spin-based qudits using (75)As donors.
55 n be exploited for long-term data storage or nuclear-spin-based quantum memory.
56 to control the fluctuations of a homogeneous nuclear spin bath and potentially improve electron spin
57 a phosphorus donor electron spin in a (29)Si nuclear spin bath as our model system, we discover both
58 onment and the dynamics of the quantum dot's nuclear spin bath by virtue of its resonant nature and b
59        Here, we report direct measurement of nuclear spin bath coherence in individual self-assembled
60 onic spin-bath dynamics in the presence of a nuclear spin bath of sufficient concentration.
61                   Independent control of the nuclear spin bath using nuclear magnetic resonance techn
62 n decoherence arises from decoherence of the nuclear spin bath, driven by nuclear-nuclear dipolar int
63 nductor spin-qubits with a nearly noise-free nuclear spin bath, previously achievable only in nuclear
64  a five-fold increase in coherence of a bare nuclear spin bath.
65 nd above), the (29)Si and (13)C paramagnetic nuclear spin baths are decoupled.
66           Central spin decoherence caused by nuclear spin baths is often a critical issue in various
67 lly that many-body correlations in nanoscale nuclear spin baths produce identifiable signatures in de
68             In principle, polarizing all the nuclear spins can achieve this but is very difficult to
69                                 The proximal nuclear spins can be addressed and coupled individually
70  we show that the two-dimensional imaging of nuclear spins can be extended to a spatial resolution be
71                         Hyperpolarization of nuclear spins can dramatically increase the NOE intensit
72 clear spin of the phosphorus donors, and the nuclear spins can then be repetitively read out electric
73            Current research dealing with the nuclear spin chemistry of H(2) incarcerated in buckyball
74 time after a sudden temperature jump, due to nuclear spin conversion.
75 rincipally caused by second- or fourth-order nuclear spin correlations, respectively.
76 red during turnover with 15N2 revealed a 15N nuclear spin coupled to the FeMo cofactor with a hyperfi
77                         Quantum registers of nuclear spins coupled to electron spins of individual so
78 ethod for quantum control relies on electron-nuclear spin coupling and drives single-electron spin ro
79 se observations represent a unique case of a nuclear spin crossover phenomenon in quantum solids.
80  by organic ligands) to suppress dipolar and nuclear-spin decoherence.
81 ermits direct observation of the breaking of nuclear spin degeneracy for the 1S0 and 3P0 optical cloc
82                           The electronic and nuclear spin degrees of freedom of donor impurities in s
83 tors, on the other hand, have relatively low nuclear spin densities, making them an attractive platfo
84 MRI signals are directly proportional to the nuclear spin density and the degree of alignment of nucl
85 easured magnetic force data into a 3D map of nuclear spin density, taking advantage of the unique cha
86 T gate has been challenging because of rapid nuclear spin dephasing and charge noise.
87 e polarization time and numerically modeling nuclear spin diffusion.
88 of Mn-Mn interactions and minimization of Mn-nuclear spin dipolar interactions result in unprecedente
89                       We show that the donor nuclear spin drives coherent rotations between the elect
90  observe long-lived time correlations in the nuclear spin dynamics, limited by nitrogen-vacancy spin-
91  synthetic study of the relationship between nuclear spin-electron spin distance and decoherence.
92  qubits where deep cooling of the mesoscopic nuclear spin ensemble is used to achieve long qubit cohe
93                   Random fluctuations in the nuclear spin ensemble lead to fast spin decoherence in a
94 irst used an electron to cool the mesoscopic nuclear spin ensemble of a semiconductor quantum dot to
95 asurement and conditional preparation of its nuclear spin environment by post-selection.
96 l enable the reproducible preparation of the nuclear spin environment for repetitive control and meas
97          We report a method of preparing the nuclear spin environment that suppresses the relevant co
98 ent optical rotations of a single collective nuclear spin excitation-a spin wave.
99 ap resonators, we drive Rabi oscillations on nuclear spins exclusively using electric fields by emplo
100 ents include reading and manipulating single nuclear spins, exploiting atomic clock transitions for r
101   Longer neighbour distances result in fewer nuclear spin flip-flops, a less fluctuating intra-crysta
102 nt that suppresses the relevant component of nuclear spin fluctuations below its equilibrium value by
103 strain-induced quadrupolar interactions make nuclear spin fluctuations much slower compared with latt
104  of spins in quantum dots by suppressing the nuclear spin fluctuations.
105 nts in an image must contain at least 10(12) nuclear spins for MRI-based microscopy, or 10(7) electro
106            We report a vanadium complex in a nuclear-spin free ligand field that displays two key pro
107 -of-concept system, we synthesized the novel nuclear spin-free complex [Cr(C3S5)3](3-) with precisely
108 chievable in transition metal complexes with nuclear spin-free environments.
109 ttribute this decrease to the absence of one nuclear spin-free ligand, which served to shield the van
110  additional benefit provided by the use of a nuclear spin-free ligand.
111                                         When nuclear spin-free ligands are employed, vanadium(IV) com
112 at solutions of 1-4 in SO2, a uniquely polar nuclear spin-free solvent, reveal T2 values of up to 152
113 volving dissipative decoupling of the single nuclear spin from its local environment.
114       These results transform weakly coupled nuclear spins from a source of decoherence into a reliab
115  spectra are sensitive to the changes to the nuclear-spin Hamiltonian that are induced by perturbatio
116                                   SABRE is a nuclear spin hyperpolarization technique based on the re
117  is demonstrated to efficiently transfer its nuclear spin hyperpolarization to nitrogen-15 in pyridin
118 tudy, we have combined NMR chemosensing with nuclear spin hyperpolarization.
119 cycle regulatory protein p27(Kip1) (p27) was nuclear spin hyperpolarized using dissolution dynamic nu
120 ced at pH = 6 with sulfite labeled with 33S (nuclear spin I = 3/2), followed by reoxidation by ferric
121  kHz (Larmor frequencies of (129)Xe and (1)H nuclear spins), (ii) <0.3 nm narrowed 200 W laser source
122 times of up to 14 mus despite abundant local nuclear spins, illuminating a new path toward proof-of-c
123 e limited only by naturally occurring (29)Si nuclear spin impurities.
124 of quantum states from an electron spin to a nuclear spin in a hybrid solid-state spin register with
125 lso recently been implemented using a single nuclear spin in a nitrogen-vacancy centre.
126         The qubit consists of a single (13)C nuclear spin in the vicinity of a nitrogen-vacancy color
127 n of the polarization of a laser beam by the nuclear spins in a liquid sample.
128 coherent manipulation of individual isolated nuclear spins in a solid-state environment even at room
129 nanoscale ensembles down to approximately 30 nuclear spins in atomically thin hexagonal boron nitride
130 esonance signals from individual electron or nuclear spins in complex biological molecules to readout
131             While polarization of individual nuclear spins in diamond and SiC reaches 99% and beyond,
132 ate it on a model system of 27 coupled (13)C nuclear spins in diamond.
133 nglement between an ensemble of electron and nuclear spins in isotopically engineered, phosphorus-dop
134 n and detection of many-body correlations of nuclear spins in nanoscale systems are highly challengin
135                        Our results establish nuclear spins in quantum dots as a powerful new resource
136  use optical Faraday rotation (OFR) to probe nuclear spins in real time at high-magnetic field in a r
137 gn for a quantum processor based on electron-nuclear spins in silicon, with electrical control and co
138 r controlling neutral (31)P and (75)As donor nuclear spins in silicon.
139 erference and manipulation of electronic and nuclear spins in single-molecule circuits are heralding
140 de from gallium arsenide (GaAs), fluctuating nuclear spins in the host lattice are the dominant sourc
141  the hyperfine interaction with uncontrolled nuclear spins in the host lattice constitutes a major so
142 erence times or T2, due to interactions with nuclear spins in the local environment.
143 on processing such as the precise control of nuclear spins in the presence of strong quadrupole effec
144                                       Single nuclear spins in the solid state are a potential future
145 tent with dephasing from the slowly evolving nuclear spins in the substrate.
146 igned for both excitation and observation of nuclear spins in two distinct magnetic fields in a singl
147 copy method that isolates individual nuclear-nuclear spin interactions with high spectral resolution
148 s an approximate symmetry on the fluctuating nuclear spin interactions.
149 ivity stemming from the weak polarization of nuclear spins is a primary limitation of magnetic resona
150                    Hyperpolarization (HP) of nuclear spins is critical for ultrasensitive nuclear mag
151                 Deep cooling of electron and nuclear spins is equivalent to achieving polarization de
152 effect-the rotation of light polarization by nuclear spins-is readily measurable, and that it is enha
153 he dependence of bulk dielectric constant on nuclear spin isomer composition appears to be a previous
154 e constants of para-/orthohydrogen (p-/o-H2) nuclear spin isomerization have been measured by means o
155 n (oH(2)) and para-hydrogen (pH(2)), the two nuclear spin isomers of dihydrogen, requires a paramagne
156  increase the rate of interconversion of the nuclear spin isomers of H(2) by a factor of approximatel
157  dimension and state-selectively cooling two nuclear spin isomers.
158 of the measured spin noise reveal g-factors, nuclear spin, isotope abundance ratios, hyperfine splitt
159 nerated with a set of (2)H, (13)C, and (15)N nuclear spin-labeled tyrosine substrates.
160 in structural fluctuations that cause proton nuclear spin-lattice relaxation are remarkably constant
161           Here we report measurements of the nuclear spin-lattice relaxation rate and Knight shift in
162 elatively short time scales depending on the nuclear spin-lattice relaxation time T(1) in the range o
163                             Interaction with nuclear spins leads to decoherence and information loss
164 inherently poor sensitivity and insufficient nuclear spin lifetime.
165 ns and eventually cancels the signals of the nuclear spins located nearby (within 1.6 nm distance).
166 rasensitive force microscopy (such as single-nuclear-spin magnetic resonance force microscopy).
167 ted by the time constant T1 for the decay of nuclear spin magnetization through contact with the ther
168 ains a near-perfect memory of the reactants' nuclear spins, manifested as a strong parity preference
169 ws how the coupling of electronic spins with nuclear spins may be used to control the monopole curren
170                                   The larger nuclear spin means that a Si:Bi dopant provides a 20-dim
171                  We demonstrated an ensemble nuclear spin memory in phosphorous-doped silicon, which
172 its of information encoded in an electron or nuclear spin memory.
173                We took advantage of a single nuclear-spin memory in order to obtain a 10-fold enhance
174  room-temperature hyperpolarization of (13)C nuclear spins observed via high-field magnetic resonance
175 Si:Bi electrons and hyperpolarized the I=9/2 nuclear spin of (209)Bi, manipulating both with pulsed m
176                        The relaxation of the nuclear spin of 83Kr atoms (I = 9/2) is driven by quadru
177 stem is based on the combined electronic and nuclear spin of a single atom and is therefore deep in t
178 er et al. suppress this effect employing the nuclear spin of an NV centre for robust intermediate sto
179 rmation can be mapped onto and stored in the nuclear spin of the phosphorus donors, and the nuclear s
180                                 Electron and nuclear spins of donor ensembles in isotopically pure si
181 the spin order of p-H2 is transferred to the nuclear spins of the substrate molecule via a transient
182 to increase rigidity or remove elements with nuclear spins or both.
183  integrated micromagnets, dynamic pumping of nuclear spins or the addition of a third quantum dot.
184               We find that several different nuclear spin orderings minimise the RKKY-type energy ind
185  resonant control of the electric current by nuclear spin orientation was achieved with radiofrequenc
186  between molecular rotational properties and nuclear spin orientations, giving rise to the spin isome
187 ition, because SiC is a binary crystal, homo-nuclear spin pairs are both diluted and forbidden from f
188                               Nascent proton nuclear spin polarization (%PH ) of ca. 3.3 % and carbon
189  of HP(129)Xe with sufficiently high (129)Xe nuclear spin polarization (P(Xe)) remains a significant
190 approximately 10(2)-10(3) enhancement of the nuclear spin polarization and therefore increases sensit
191 s the cross-relaxation rates for transfer of nuclear spin polarization but reduces the accessible tar
192       Methods have been developed to enhance nuclear spin polarization but they typically require hig
193  to result from a hole-spin assisted dynamic nuclear spin polarization feedback process, where the st
194 eriment and theory that contributions to the nuclear spin polarization from the three-spin mixing and
195                               The control of nuclear spin polarization is important to the design of
196                                 The level of nuclear spin polarization is typically very low, i.e., o
197 on in 2003, which by radically enhancing the nuclear spin polarization of (13)C nuclei in solution ca
198                                        (13)C nuclear spin polarization of 1-(13)C-phospholactate-d2 w
199                              We observe bulk nuclear spin polarization of 6%, an enhancement of appro
200               In only a few tens of seconds, nuclear spin polarization P(15)N of up to approximately
201 nce presented here involves an initial (13)C nuclear spin polarization via photo-CIDNP followed by co
202                                          The nuclear spin polarization was boosted by ca. 67000-fold
203 sm, we predict and observe a reversal of the nuclear spin polarization with only a few millitesla cha
204 ormous potential to achieve greatly enhanced nuclear spin polarization, but the presence of PAs and/o
205 ng to approximately 10% and approximately 7% nuclear spin polarization, respectively.
206 erpolarization methods, which prepare excess nuclear spin polarization.
207 plied static magnetic field, which is called nuclear spin polarization.
208 ecognized effect of chiral edge modes on the nuclear spin polarization.
209 er blue-light exposure, exceptionally strong nuclear-spin polarization was developed in the resonance
210                      Low thermal-equilibrium nuclear spin polarizations and the need for sophisticate
211 perpolarization methods transiently increase nuclear spin polarizations up to unity, yielding corresp
212  this particular study, the highest obtained nuclear spin polarizations were P =29% for(83)Kr and P=
213                                          The nuclear-spin polarizations achieved in these experiments
214 e quantum bits, but their strong coupling to nuclear spins produces high decoherence rates.
215                                          The nuclear spin provides an ideal memory qubit at room temp
216 trated robust initialization of electron and nuclear spin quantum bits (qubits) and transfer of arbit
217 delity projective readout and control of the nuclear spin qubit, as well as entanglement between the
218 nts, as well as a means to interact with the nuclear spin qubit.
219                                    Moreover, nuclear spin qubits could be well isolated from the elec
220 ly, this approach makes it possible to drive nuclear spin qubits either at their resonance frequency
221 ly, coherent interactions between individual nuclear spin qubits were observed and their excellent co
222 information processors using electronic- and nuclear-spin qubits.
223 derstanding of precisely how the position of nuclear spins relative to the electronic spin center aff
224 n scan with femtosecond spectroscopy and NMR nuclear spin relaxation (NSR).
225  to the local dynamics via its impact on the nuclear spin relaxation and interaction with the nitroge
226                                          The nuclear spin relaxation data and polarization inversion
227                                       Proton nuclear spin relaxation has been for the first time exte
228             Paramagnetic Cu(II) ions enhance nuclear spin relaxation in a distance-dependent fashion
229 ibility to magnetic field heterogeneity, and nuclear spin relaxation induced by other paramagnetic de
230                                              Nuclear spin relaxation measurements indicated that the
231                                beta-Detected nuclear spin relaxation of (8)Li(+) has been used to stu
232    The kinetics of para-ortho conversion and nuclear spin relaxation of H 2 in chloroform- d 1 were i
233 MR and EPR data reveal improved electron and nuclear spin relaxation properties for bTbK within the h
234 istances is to utilize the modulation of the nuclear spin relaxation rate of water protons through th
235  intramolecular complex using backbone amide nuclear spin relaxation rates determined using NMR spect
236 site both for quantitative interpretation of nuclear spin relaxation rates in terms of local dynamics
237                                              Nuclear spin relaxation rates of (2) H and (139) La in L
238         This result is due to changes of the nuclear spin relaxation times due to the electron spin s
239                                 Here, we use nuclear spin relaxation to investigate the distribution
240 r NMR experiments caused by undesirably fast nuclear spin relaxation.
241 encode the logical qubit in three long-lived nuclear spins, repeatedly detect phase errors by non-des
242 sitivity limit of single molecules or single nuclear spins requires fundamentally new detection strat
243 ratio under ambient conditions allows single nuclear spin sensitivity to be achieved within seconds.
244                                            A nuclear spin singlet state can now be populated.
245                                              Nuclear spin singlet states are silent states in nuclear
246 es have relied on hyperpolarizing long-lived nuclear spin species such as (13)C in small molecules.
247 his fast and efficient two-criterion method (nuclear spin-spin coupling and (13)C chemical shifts) wh
248                  We compare the NMR indirect nuclear spin-spin coupling constants in strychnine calcu
249 cies is sufficient to induce a finite scalar nuclear spin-spin coupling, providing that translational
250 d precise measurement of chemical shifts and nuclear spin-spin couplings correlated according to spin
251                 The abrupt change of the 13C nuclear spin-spin relaxation time of the confined liquid
252           For 13C-enriched organics, the 13C nuclear spin-spin relaxation was demonstrated as a sensi
253 2 then regenerates 1 and 2 in a well-defined nuclear spin state.
254 1-(methyl-d)piperidine supports a long-lived nuclear spin state.
255      This optical approach for excitation of nuclear spin states allows an accurate measurement of th
256 mental methods have not been able to observe nuclear spin states at pressures approaching 100 GPa (Me
257 d this limit to formation of coherent 'dark' nuclear spin states but experimental verification is lac
258                                        Since nuclear spin states can be preserved even if the spin ca
259                                   Long-lived nuclear spin states could greatly enhance the applicabil
260 ip-flop qubit, a combination of the electron-nuclear spin states of a phosphorus donor that can be co
261                               Instead of the nuclear spin states of NMR, their multidimensional spect
262  the observation of stable coherence between nuclear spin states of ultracold fermionic sodium-potass
263 anging the coherent superposition of initial nuclear spin states with an external magnetic field.
264  new approach enabled by manipulation of the nuclear spin states with radiofrequency pulses.
265 isomers, ortho and para, that have different nuclear spin states.
266 r 50:50 superpositions of the electronic and nuclear spin states.
267                               Characteristic nuclear spin statistical intensity patterns confirm the
268 sequently the effect of high pressure on the nuclear spin statistics could not be directly measured.
269  above 70 GPa, we observe a crossover in the nuclear spin statistics from a spin-1 quadrupolar to a s
270 ile keeping the system open to as many as 10 nuclear spin sublevels, we probed the non-equilibrium tw
271 ween molecular rotational properties and the nuclear spin system can be anticipated.
272 mple we investigate the possible ordering of nuclear spins that interact through an underlying lattic
273 synchronously with the precession of a given nuclear spin, the interaction to this spin is selectivel
274 t in inductive detection of weakly polarized nuclear spins, the vast majority of clinical MRI scanner
275  spin are inevitably affected by the lattice nuclear spins through the hyperfine interaction, while t
276 e this goal by utilizing the conservation of nuclear spins throughout the reaction.
277 esonance with hyperpolarization of the (31)P nuclear spin to obtain an initial state of sufficient pu
278 e allows the quantum state of electronic and nuclear spins to be controlled on the timescale of nanos
279 dividual electron spin and nearby individual nuclear spins to create a controllable quantum register.
280 nding to an electronic spin and an ancillary nuclear spin, to demonstrate room temperature magnetic r
281 c quadrupole interaction results in coherent nuclear spin transitions that are uniquely addressable o
282 ch to access individual quantized electronic-nuclear spin transitions.
283 rence time observed here is long enough that nuclear spins travelling at 9 kilometres per hour in a c
284  magnetometers are unable to detect a single nuclear spin unless the tip-to-sample separation is made
285 cal spin ice materials with a broad range of nuclear spin values.
286 arization of exogenous unpaired electrons to nuclear spins via microwave irradiation of electron-nucl
287              Their isotopes have mainly zero nuclear spin, which enhances the electronic spin coheren
288 arated into a set of individual proximal 13C nuclear spins, which are coupled coherently to the elect
289  electron spin, and the remainder of the 13C nuclear spins, which cause the loss of coherence.
290 action with the nanoscale ensemble of atomic nuclear spins, which is particularly problematic in stra
291 s originated from the coupling of the (59)Co nuclear spin with the electronic spin.
292 monstrating strong isotropic coupling of the nuclear spin with the paramagnetic center.
293  spin density and the degree of alignment of nuclear spins with applied static magnetic field, which
294              As an example, we have detected nuclear spins with nanometer-scale precision.
295 nts selected defects with favourably located nuclear spins with particularly strong hyperfine couplin
296 entional MRI is based on the manipulation of nuclear spins with radio-frequency fields, and the subse
297 pproach combines the long coherence times of nuclear spins with the flexibility and scalability of qu
298  exploit to show coherent coupling to single nuclear spins with ~1 kHz resolution.
299 et-up is sensitive enough to detect a single nuclear spin within ten milliseconds of data acquisition
300 amond enables detection of individual target nuclear spins, yet limits the spectral resolution of nuc

 
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