用于指导仲氢诱导核极化状态保存的己烯分子中五自旋的单重态制备和寿命研究
Preparation and Lifetime Studies of the Singlet State of Five Spins in Hexene Molecules Used to Guide the Preservation of the Parahydrogen-induced Nuclear Polarization State
通讯作者: * Tel: 021-62233281, E-mail:dxwei@phy.ecnu.edu.cn;# Tel: 021-62234328, E-mail:yfyao@phy.ecnu.edu.cn.
收稿日期: 2022-06-7
Corresponding authors: * Tel: 021-62233281, E-mail:dxwei@phy.ecnu.edu.cn;# Tel: 021-62234328, E-mail:yfyao@phy.ecnu.edu.cn.
Received: 2022-06-7
仲氢诱导核极化(PHIP)技术能极大地增强核磁共振(NMR)信号的灵敏度,已被应用于磁共振成像、原位化学反应监测等领域.除了不断提高不同分子极化后的灵敏度外,延长和保存高极化度状态对PHIP技术的应用也至关重要,其中将极化后的状态制备成核自旋单重态是目前被研究较多的一种方法.本文以能被PHIP技术极化的己烯分子为研究对象,通过设计优化控制脉冲,对分子中的一个五自旋体系进行操控,制备了多种核自旋单重态,结果表明:己烯分子的碳-碳双键上存在三种不同的核自旋单重态,它们的寿命均长于仲氢极化后产生的初始态的寿命,可以作为延缓极化度衰减的一种中间态;通过对比单重态的寿命与相应自旋的纵向弛豫时间发现,将极化后己烯的状态转化为纵向磁化可能也是一种保存极化度的有效方法.
关键词:
Parahydrogen-induced polarization (PHIP) technique can greatly enhance the sensitivity of nuclear magnetic resonance (NMR) signals, and has been applied in the fields of magnetic resonance imaging, in situ chemical reaction monitoring, etc. In addition to improving the sensitivity of different molecules in the PHIP, it is also crucial to extend and preserve the high polarization state. To achieve this, a possible approach is to transfer the polarized state into a nuclear spin singlet state. Here, we focus on the singlet states preparation in hexene molecule that can be polarized by PHIP. By designing optimal control pulses, a five-spin system in hexene molecule was manipulated, and various quantum states were prepared respectively. Our results show that three different nuclear spin singlet states could be prepared with the group CH2=CH- in hexene. The three different nuclear spin singlet states have longer lifetime than that of the initial state polarized by PHIP, and thus can be utilized as the intermediate states to delay the decay of the polarization state. By comparing the lifetime of the singlet state with the longitudinal relaxation time of the corresponding spin, it is deduced that converting the state of the polarized hexene to longitudinal magnetization may also be an effective way to preserve the polarizability.
Keywords:
本文引用格式
慈杰, 杨雪, 辛家祥, 魏达秀, 姚叶锋.
CI Jie.
引言
核磁共振(nuclear magnetic resonance,NMR)技术具有分辨率高、原位实时、非破坏性等特点,能够为了解原子核的化学环境、分子的具体构象和动力学行为提供重要信息,已成为化学、物理、生物、医学等领域不可或缺的分析工具[1⇓⇓-4].随着检测要求的不断提高,进一步增强信号灵敏度是NMR技术发展的重要方向.目前文献中报道了多种用于增强灵敏度的方法,包括自旋交换光泵(spin exchange optical pumping,SEOP)[5]、动态核极化(dynamic nuclear polarization,DNP)[6,7]、化学诱导动态核极化(chemically induced dynamics nuclear polarization,CIDNP)[8]等.这些极化技术能够有效地提高NMR检测灵敏度,但设备成本高、操作复杂等问题在一定程度上限制了其应用范围.
近年来,仲氢诱导极化(parahydrogen induced polarization,PHIP)[9,10]作为一种操作简便、原料易得、对设备要求低的极化技术,受到了广泛关注.PHIP的主要过程是在合适的化学条件下,使氢气分子的布居数主要集中分布在某一个能级上,该能级会与其余能级存在极大的布居数差,由此产生极化度非常高的仲氢分子.当仲氢分子与特定目标分子发生加成反应时,仲氢分子的高极化度会转移到目标分子中相应的原子核上,同样也会使得相应自旋的部分能级上的布居数分布远高于其它能级,进而实现特定分子信号的灵敏度增强[11,12].这种高灵敏度的分子具有广阔的应用前景,目前已被用于理论计算、磁共振成像、痕量分析、化学指纹以及反应监控等方面[13⇓⇓-16].仲氢研究之初,德国的Spiess小组[13,17]在己炔加成仲氢生成极化己烯方面做了大量的工作.己炔分子由于存在不饱和的碳碳三键,并且化学性质活泼,容易与氢气分子发生反应,因而以己炔和己烯为对象研究仲氢极化的现象和机理相对简便.同时其研究结果对于理解三键变成双键的极化过程具有一定的参考意义.
仲氢加成之后产生的初始态不再是NMR中通常的热平衡态,根据所处磁场环境不同,仲氢与目标分子的加氢反应主要分为ALTADENA和PASADENA两种.ALTADENA实验是在地磁场下进行加氢反应,即弱磁场环境,被极化的两个核自旋(I1和I2)的初始态为
值得注意的是,与热平衡状态下己烯中的自旋状态相比,仲氢极化后的己烯主要区别是原子核能级上的布局数发生了变化,原子核之间的偶极耦合、J耦合,以及化学位移差都没有发生变化,由此可以推断热平衡状态下己烯分子中自旋的弛豫现象和机理应该与极化己烯类似.本文以热平衡状态下的己烯分子为研究对象,通过综合分析12个氢原子核的特点,选取了其中的一个五自旋体系作为研究对象,通过施加脉冲,制备了态
1 理论部分
1.1 仲氢诱导极化产生的自旋状态
处于高磁场中的两个核自旋(I1,I2)在弱耦合情况下,体系的能级对应的本征态分别为|αα>,|αβ>, |βα>,|ββ>.当两个自旋之间的化学位移差逐渐缩小,体系逐渐转为强耦合情况.体系的本征态变为: T1=|αα>、T0=(|αβ>+|βα>)
氢气分子有两种不同的核自旋状态,分别为正氢和仲氢,常温常压下,普通氢气中的仲氢和正氢的组成比约为1:3,当降低氢气分子的温度,在活性炭或者氧化铁的催化作用下,仲氢和正氢之间能互相转化,最终能得到仲氢高度富集的氢气分子.当这种高度富集的氢气分子与其他分子中的氢原子核发生加成反应时,能将其高极化度转移到该分子中.仲氢分子能与己炔分子末端的碳碳三键发生加成反应,生成如图1中所示的己烯分子,反应之后氢气分子的高极化度被转移到氢原子核Hb、Hc上.在高磁场中,加成后产生的状态为
图1
图1
己烯分子的结构式和在氘代丙酮溶液中的单脉冲1H NMR谱(500 MHz)
Fig. 1
The molecular structure and 1H NMR spectrum of hexene in deuterated acetone solution (500 MHz)
这里,
上式中,前半部分为前面介绍的T0态;后半部分即为S0态,也称为单重态,状态ρp产生之后会由于弛豫的作用逐渐衰减.液态体系中对T0、S0态的弛豫,主要来源于临近核的偶极偶极相互作用和自身的化学位移各项异性.关于单重态的研究文献[24]指出,处于特定构型的原子核之间的单重态能避免偶极偶极弛豫的影响.但通常情况下,如不施加任何外界作用,ρp会以较快的速度弛豫.
上面的单重态S0是存在于Hb、Hc之间的状态,可以标记为S0bc,相似地,己烯分子中的其他氢原子核之间也存在其他的单重态,如Ha、Hc之间的状态S0ac,Ha、Hb之间的状态S0ab.
1.2 利用优化脉冲控制五自旋体系的演化并制备不同的单重态
己烯分子中存在12个氢原子核(如图1所示),由于仲氢加成主要发生Hb、Hc上,同时Hc与Hd、Hd'均存在耦合作用,当研究单重态S0ac、S0ab时,不能简单地只关注Ha、Hb、Hc三个自旋,即文献[21]中提出的针对三自旋体系中单重态的制备脉冲不适用于己烯分子.分析可知,如果只关注S0bc、S0ac、S0ab三个单重态,则可以选择Ha、Hb、Hc、Hd、Hd'构成的五自旋体系为研究对象,在制备以上三个单重态的同时对Hd、Hd'进行同核去耦.由于这五个核自旋之间的化学位移相差不大,利用传统的NMR脉冲难以精确地控制自旋体系的演化.而优化控制的数值脉冲由于脉冲设计中可变量多,理论上能以接近100%的效率实现特定初末态的转化.
NMR技术中,核自旋状态的演化由体系密度算符的刘维方程描述,体系的哈密顿量主要包括主磁场、射频脉冲及自旋之间的相互作用三个成分,三者皆对应相应的幺正变换形式,传统NMR脉冲序列通常由射频脉冲和延时组成,不同的脉冲方向、角度及延时长短则对应不同的幺正变换,通过变化射频脉冲的形式和延时时间的长短,能控制自旋体系的演化,实现热平衡态到目标末态的转化.与传统NMR脉冲不同的是,优化脉冲中射频脉冲和自旋耦合同时进行,其主要思路是:将整个脉冲序列分成若干个小脉冲片段,每个小脉冲的幅度和相位各不相同,小脉冲施加期间自旋之间的耦合同时影响体系状态的演化.能实现特定初态到末态转化的优化脉冲形状可以利用数值算法得到.文献中报道的优化脉冲的实现主要基于GRAPE数值算法[25],优化过程中通过逐渐变化脉冲的幅度,使最终得到的脉冲能以极大的效率实现初末态的转化.本文的脉冲优化在SIMPSON模拟[26]平台实现,关键步骤包括自旋体系耦合参数的输入、脉冲对应的初末态的确认及脉冲宽度等参数的优化等.表1列出了己烯分子的NMR参数.优化过程以Ha、Hb、Hc、Hd、Hd'构成的五自旋体系为研究对象,图1展示了己烯分子的结构及其氘代丙酮溶液的一维1H NMR谱图.其中,Ha、Hb、Hc、Hd/Hd'的化学位移分别为δH 5.00、4.92、5.82、2.08.
表1 J耦合和化学位移差值
Table 1
Ha-Hb | Hc-Ha | Hc-Hb | Hc-Hd | Hc-Hd' | Hd-Hd' | |
---|---|---|---|---|---|---|
J耦合/Hz | 1.58 | 17.16 | 10.21 | 6.73 | 6.73 | -7.5 |
化学位移差/Hz | -40 | -410 | -450 | -1870 | -1870 | - |
己烯分子的三个氢原子核的单重态可以表示为:
上式中的多量子成分可以写成如下的形式:
当以此态作为基础,对体系施加去耦脉冲时,上式中前半部分的量子态在去耦脉冲施加期间会因为弛豫的影响迅速衰减,后半部分即为单重态,在去耦脉冲实施期间,单重态由于弛豫慢而被保留下来.最后,为了观测单重态的信号,可以再次施加幺正变化
这里,将单重态转化为可观测态的整个脉冲可以集成为一个优化脉冲,其对应的幺正变换为
利用优化控制方法计算脉冲的过程主要包括三步:第一步是编写SIMPSON优化程序,将自旋体系的参数输入到程序中;第二步是确定实现自旋状态转化所需的幺正变换的形式,并估算实现该转化的优化脉冲所需的时间;第三步是调整脉冲的时间和最大功率限制,反复运行SIMSPON程序,得到效率达到预期值的优化脉冲.根据己烯分子中氢原子核的耦合特点,本文计算优化脉冲时,考虑了Ha、Hb、Hc、Hd、Hd'五个自旋之间的耦合,以确保单重态的转化率接近100%.
图2分别列出了制备单重态的优化脉冲的波形图,所有脉冲的最大功率限制为400 Hz,相位变化范围为-π到π之间. 图2(a1)、2(a2)分别对应幺正变换
图2
图2
制备和检测单重态所用的优化脉冲的幅度,相位及对应的脉冲序列.(a1)、(c1)、(e1)分别为幺正变换
Fig. 2
The amplitudes and phases of different optimal control pulses, and the pulse sequence for the experiments. (a1), (c1), (e1) are the amplitudes of unitary transformation
2 实验部分
2.1 仪器与试剂
仪器:Bruker Avance III 500型NMR谱仪(5 mm液体BBO探头).
试剂:己烯(Sigma,AR)、氘代丙酮(CIL,99.9%氘代),未经进一步纯化,直接使用.
2.2 NMR实验
样品准备:将20 μL己烯溶解于500 μL氘代丙酮,将混合溶液装于5 mm NMR样品管中.单重态制备NMR实验参数设置:1H NMR工作频率为500.17 MHz;采样谱宽(SW)为8 000 Hz;射频中心O1为5.82 ppm;循环等待时间(d1)为2 s;梯度脉冲g1和g2时间为1 200 μs,功率分别为200 mT/m和100 mT/m;采样时间为1.5 s;累加次数(NS)为1.将SIMPSON计算得到的优化脉冲转化为Bruker形状脉冲的格式,根据图2(g)中的脉冲方框图编辑脉冲序列,在合适的位置调用形状脉冲.
3 结果与讨论
3.1 三种单重态的NMR实验实现
我们首先在NMR谱仪上验证了图2(g)所示的脉冲序列,分别选择
图3
图3
单脉冲和单重态对应的1H NMR谱图.其中(a)为单脉冲谱图,(b)、(c)、(d)分别为单重态
Fig. 3
The 1H NMR spectra. (a) The spectrum after applying a 90 degree single pulse; (b), (c), (d) corresponding to the singlet states
3.2 核自旋单重态的寿命
根据图2(g)中的脉冲序列可知,在施加连续波(CW)脉冲去耦期间,处于单重态的自旋由化学位移各项异性引起的弛豫被去耦脉冲压制,此时主要发生的是自旋之间由偶极耦合引起的弛豫.而不同自旋之间的单重态的弛豫受偶极耦合的影响不同.实验中,通过不断改变CW施加的时间长短,能够监测单重态衰减的快慢.图4中给出了三种不同核自旋单重态随时间的衰减曲线,通过拟合得到单重态的寿命T1S.表2中列出了实验测得的态
表2 单重态寿命和自旋纵向弛豫时间
Table 2
时间/s | 2.52±0.03 | 5.93±0.08 | 11.02±0.18 | 8.61±0.07 | 11.54±0.42 | 11.52±0.31 | 14.22±0.41 |
图4
图4
三种单重态
Fig. 4
The relaxation decay curves of the single states
4 结论
本文利用优化控制和数值计算方法设计脉冲,对己烯分子中的五自旋体系进行了精确的控制,分别在碳碳双键相连的氢原子核中制备了三种核自旋单重态,测量了三个单重态的寿命.通过综合分析己烯中氢核的纵向弛豫时间,以及初始态
利益冲突
无
附件材料
图S1 制备态
图S2 Ha的纵向弛豫衰减曲线.
图S3 Hb的纵向弛豫衰减曲线.
图S4 Hc的纵向弛豫衰减曲线.
A1 计算不同优化脉冲的代码脚本.
可在论文网页版获取.
参考文献
A review of NMR analysis in polysaccharide structure and conformation: Progress, challenge and perspective
[J]. ,DOI:10.1016/j.foodres.2021.110290 URL [本文引用: 1]
Pulsed-field nuclear magnetic resonance: Status and prospects
[J]. ,
Recent NMR/MRI studies of biofilm structures and dynamics
[M]. WEBB G A Ed. Annual Reports on NMR Spectroscopy. ,
Characterization of brain metabolism by nuclear magnetic resonance
[J]. ,DOI:10.1002/cphc.201800917 PMID:30536696 [本文引用: 1]
The noninvasive, quantitative ability of nuclear magnetic resonance (NMR) spectroscopy to characterize small molecule metabolites has long been recognized as a major strength of its application in biology. Numerous techniques exist for characterizing metabolism in living, excised, or extracted tissue, with a particular focus on H-based methods due to the high sensitivity and natural abundance of protons. With the increasing use of high magnetic fields, the utility of in vivo H magnetic resonance spectroscopy (MRS) has markedly improved for measuring specific metabolite concentrations in biological tissues. Higher fields, coupled with recent developments in hyperpolarization, also enable techniques for complimenting H measurements with spectroscopy of other nuclei, such as P and C, and for combining measurements of metabolite pools with metabolic flux measurements. We compare ex vivo and in vivo methods for studying metabolism in the brain using NMR and highlight insights gained through using higher magnetic fields, the advent of dissolution dynamic nuclear polarization, and combining in vivo MRS and ex vivo NMR approaches.© 2019 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.
Efficiency of spin exchange between rubidium spins and 129Xe nuclei in a gas
[J]. ,DOI:10.1103/PhysRevLett.49.25 URL [本文引用: 1]
Dynamic nuclear polarization at high magnetic fields in liquids
[J]. ,DOI:10.1016/j.pnmrs.2011.10.002 URL [本文引用: 1]
Dynamic nuclear polarization at 9T using a novel 250 gyrotron microwave source
[J]. ,DOI:10.1016/j.jmr.2011.08.015 PMID:22152359 [本文引用: 1]
In the 1990's we initiated development of high frequency gyrotron microwave sources with the goal of performing dynamic nuclear polarization at magnetic fields (∼5-23 T) used in contemporary NMR experiments. This article describes the motivation for these efforts and the developments that led to the operation of a gyrotron source for DNP operating at 250 GHz. We also mention results obtained with this instrument that would have been otherwise impossible absent the increased sensitivity. Finally, we describe recent efforts that have extended DNP to 460 GHz and 700 MHz (1)H frequencies.Copyright © 2011. Published by Elsevier Inc.
Pushing nuclear magnetic resonance sensitivity limits with microfluidics and photo-chemically induced dynamic nuclear polarization
[J]. ,DOI:10.1038/s41467-017-02575-0 URL [本文引用: 1]
Parahydrogen-based NMR methods as a mechanistic probe in inorganic chemistry
[J]. ,DOI:10.1016/j.ccr.2008.01.028 URL [本文引用: 1]
Parahydrogen-induced polarization of amino acids
[J]. ,DOI:10.1002/anie.202100109 URL [本文引用: 1]
Para-hydrogen enrichment and hyperpolarization
[J]. ,
Hyperpolarized NMR spectroscopy: d-DNP, PHIP, and SABRE techniques
[J]. ,DOI:10.1002/asia.201800551 URL [本文引用: 1]
Proton magnetic resonance imaging with para-hydrogen induced polarization
[J]. ,DOI:10.1039/c2cp22822j PMID:22240943 [本文引用: 2]
A major challenge in imaging is the detection of small amounts of molecules of interest. In the case of magnetic resonance imaging (MRI) their signals are typically concealed by the large background signal of e.g. the body. This problem can be tackled by hyperpolarization which increases the NMR signals up to several orders of magnitude. However, this strategy is limited for (1)H, the most widely used nucleus in NMR and MRI, because the enormous number of protons in the body screens the small amount of hyperpolarized ones. Here, we describe a method giving rise to high (1)H MRI contrast for hyperpolarized molecules against a large background signal. The contrast is based on the J-coupling induced rephasing of the NMR signal of molecules hyperpolarized via PHIP and it can easily be implemented in common pulse sequences. We discuss several scenarios with different or equal dephasing times T(2)* for the hyperpolarized and thermally polarized compounds and verify our approach by experiments. This method may open up unprecedented opportunities to use the standard MRI nucleus (1)H for e.g. metabolic imaging in the future.
Para-hydrogen perspectives in hyperpolarized NMR
[J]. ,DOI:10.1016/j.jmr.2013.07.010 PMID:23932399 [本文引用: 1]
The first instance of para-hydrogen induced polarization (PHIP) in an NMR experiment was serendipitously observed in the 1980s while investigating a hydrogenation reaction (Seldler et al., 1983; Bowers and Weitekamp, 1986, 1987; Eisenschmid et al., 1987) [1-4]. Remarkably a theoretical investigation of the applicability of para-hydrogen as a hyperpolarization agent was being performed in the 1980's thereby quickly providing a theoretical basis for the PHIP-effect (Bowers and Weitekamp, 1986) [2]. The discovery of signal amplification by a non-hydrogenating interaction with para-hydrogen has recently extended the interest to exploit the PHIP effect, as it enables investigation of compounds without structural alteration while retaining the advantages of spectroscopy with hyperpolarized compounds [5]. In this article we will place more emphasis of the future applications of the method while only briefly discussing the efforts that have been made in the understanding of the phenomenon and the development of the method so far.Copyright © 2013 Elsevier Inc. All rights reserved.
Implementation of deutsch algorithm using para-hydrogen induced polarization
[J]. ,
利用仲氢诱导极化技术实现Deutsch算法
[J]. ,
1, 3-Butadienen hydrogenation on supported Pd-Sn bimetallic catalysts investigated by parahydrogen-induced polarization
[J]. ,
Pd-Sn双金属催化剂催化1, 3-丁二烯加氢反应的仲氢诱导极化研究
[J]. ,
Continuous 1H and 13C signal enhancement in NMR spectroscopy and MRI using parahydrogen and hollow-fiber membranes
[J]. ,DOI:10.1002/ange.201002725 URL [本文引用: 1]
Relaxation dynamics of nuclear long-lived spin states in propane and propane-d6 hyperpolarized by parahydrogen
[J]. ,DOI:10.1021/acs.jpcc.9b01538 URL [本文引用: 1]
Storage of nuclear magnetization as long-lived singlet order in low magnetic field
[J]. ,DOI:10.1073/pnas.1010570107 URL [本文引用: 1]
Generalised magnetisation-to-singlet-order transfer in nuclear magnetic resonance
[J]. ,DOI:10.1039/d0cp00935k PMID:32329499 [本文引用: 1]
A variety of pulse sequences have been described for converting nuclear spin magnetisation into long-lived singlet order for nuclear spin-1/2 pairs. Existing sequences operate well in two extreme parameter regimes. The magnetisation-to-singlet (M2S) pulse sequence performs a robust conversion of nuclear spin magnetisation into singlet order in the near-equivalent limit, meaning that the difference in chemical shift frequencies of the two spins is much smaller than the spin-spin coupling. Other pulse sequences operate in the strong-inequivalence regime, where the shift difference is much larger than the spin-spin coupling. However both sets of pulse sequences fail in the intermediate regime, where the chemical shift difference and the spin-spin coupling are roughly equal in magnitude. We describe a generalised version of M2S, called gM2S, which achieves robust singlet order excitation for spin systems ranging from the near-equivalence limit well into the intermediate regime. This closes an important gap left by existing pulse sequences. The efficiency of the gM2S sequence is demonstrated numerically and experimentally for near-equivalent and intermediate-regime cases.
Preparation of nuclear spin singlet states using spin-lock induced crossing
[J]. ,DOI:10.1103/PhysRevLett.111.173002 URL [本文引用: 2]
Robust conversion of singlet spin order in coupled spin-1/2 pairs by adiabatically ramped RF-fields
[J]. ,DOI:S1090-7807(16)30194-X PMID:27750072 [本文引用: 1]
We propose a robust and highly efficient NMR technique to create singlet spin order from longitudinal spin magnetization in coupled spin-½ pairs and to perform backward conversion (singlet order)→magnetization. In this method we exploit adiabatic ramping of an RF-field in order to drive transitions between the singlet state and the T triplet states of a spin pair under study. We demonstrate that the method works perfectly for both strongly and weakly coupled spin pairs, providing a conversion efficiency between the singlet spin order and magnetization, which is equal to the theoretical maximum. We anticipate that the proposed technique is useful for generating long-lived singlet order, for preserving spin hyperpolarization and for analyzing singlet spin order in nearly equivalent spin pairs in specially designed molecules and in low-field NMR studies.Copyright © 2016 Elsevier Inc. All rights reserved.
Preparing nuclear spin singlet state in a three-spin system and its application in 2D spectrum
[J]. ,
三自旋体系核自旋单重态的制备与单重态二维谱的实现
[J]. ,
Theory of long-lived nuclear spin states in solution nuclear magnetic resonance. I. Singlet states in low magnetic field
[J]. ,DOI:10.1063/1.1893983 URL [本文引用: 1]
Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms
[J]. ,In this paper, we introduce optimal control algorithm for the design of pulse sequences in NMR spectroscopy. This methodology is used for designing pulse sequences that maximize the coherence transfer between coupled spins in a given specified time, minimize the relaxation effects in a given coherence transfer step or minimize the time required to produce a given unitary propagator, as desired. The application of these pulse engineering methods to design pulse sequences that are robust to experimentally important parameter variations, such as chemical shift dispersion or radiofrequency (rf) variations due to imperfections such as rf inhomogeneity is also explained.
Optimal control in NMR spectroscopy: numerical implementation in SIMPSON
[J]. ,DOI:10.1016/j.jmr.2008.11.020 PMID:19119034 [本文引用: 1]
We present the implementation of optimal control into the open source simulation package SIMPSON for development and optimization of nuclear magnetic resonance experiments for a wide range of applications, including liquid- and solid-state NMR, magnetic resonance imaging, quantum computation, and combinations between NMR and other spectroscopies. Optimal control enables efficient optimization of NMR experiments in terms of amplitudes, phases, offsets etc. for hundreds-to-thousands of pulses to fully exploit the experimentally available high degree of freedom in pulse sequences to combat variations/limitations in experimental or spin system parameters or design experiments with specific properties typically not covered as easily by standard design procedures. This facilitates straightforward optimization of experiments under consideration of rf and static field inhomogeneities, limitations in available or desired rf field strengths (e.g., for reduction of sample heating), spread in resonance offsets or coupling parameters, variations in spin systems etc. to meet the actual experimental conditions as close as possible. The paper provides a brief account on the relevant theory and in particular the computational interface relevant for optimization of state-to-state transfer (on the density operator level) and the effective Hamiltonian on the level of propagators along with several representative examples within liquid- and solid-state NMR spectroscopy.
Long-lived nuclear spin states far from magnetic equivalence
[J]. ,DOI:10.1039/c4cp05704j PMID:25633837 [本文引用: 1]
Clusters of coupled nuclear spins may form long-lived nuclear spin states, which interact weakly with the environment, compared to ordinary nuclear magnetization. All experimental demonstrations of long-lived states have so far involved spin systems which are close to the condition of magnetic equivalence, in which the network of spin-spin couplings is conserved under all pair exchanges of symmetry-related nuclei. We show that the four-spin system of trans-[2,3-(13)C2]-but-2-enedioate exhibits a long-lived nuclear spin state, even though this spin system is very far from magnetic equivalence. The 4-spin long-lived state is accessed by slightly asymmetric chemical substitutions of the centrosymmetric molecular core. The long-lived state is a consequence of the locally centrosymmetric molecular geometry for the trans isomer, and is absent for the cis isomer. A general group theoretical description of long-lived states is presented. It is shown that the symmetries of coherent and incoherent interactions are both important for the existence of long-lived states.
/
〈 | 〉 |