Chemical shift correlation via RFDR: elimination of resonance offset effects

It is shown that it is possible to effectively execute RFDR experiments with adiabatic inversion pulses and obtain resonance offset compensation that is superior to what can be achieved by conventional rectangular pulses. Employing 40-s tanh/tan adiabatic pulses at a power level of 38 kHz and a spinning speed of 12 kHz it is demonstrated that the range of resonance offset compensation achieved is sufficient to generate, via a single experiment, homonuclear chemical shift correlation spectra in the entire ¹³C chemical shift range in peptides/proteins at the currently available field strengths.     

Solid state NMR at high magic angle spinning frequencies: Dipolar chemical shift correlation with adiabatic inversion pulse based RF pulse schemes

The efficacy of hetero- and homonuclear dipolar recoupling employing tanh/tan adiabatic inversion pulse based RF pulse schemes has been examined at high magic angle spinning (MAS) frequencies via numerical simulations and experimental measurements. An approach for minimising the recoupling RF power level is presented, taking into consideration the spinning speed, the range of resonance offsets and H₁ inhomogeneities and the available RF field strength. This involves the tailoring of the frequency and amplitude modulation profiles of the inversion pulses. The applicability of tanh/tan pulse based dipolar recoupling schemes to spinning speed regimes where the performance with conventional rectangular pulses may not be satisfactory is demonstrated.     

RFDR with Adiabatic Inversion Pulses: Application to Internuclear Distance Measurements

In the context of the structural characterisation of biomolecular systems via MAS solid state NMR, the potential utility of homonuclear dipolar recoupling with adiabatic inversion pulses has been assessed via numerical simulations and experimental measurements. The results obtained suggest that it is possible to obtain reliable estimates of internuclear distances via an analysis of the initial cross-peak intensity buildup curves generated from two-dimensional adiabatic inversion pulse driven longitudinal magnetisation exchange experiments.     

Homonuclear chemical shift correlation in rotating solids via RN<Superscript>ν</Superscript><Subscript><Emphasis Type="Italic">n</Emphasis></Subscript> symmetry-based adiabatic RF pulse schemes

The efficacy of RN_n symmetry-based adiabatic Zero-Quantum (ZQ) dipolar recoupling schemes for obtaining chemical shift correlation data at moderate magic angle spinning frequencies has been evaluated. RN_n sequences generally employ basic inversion elements that correspond to a net 180° rotation about the rotating frame x-axis. It is shown here via numerical simulations and experimental measurements that it is also possible to achieve efficient ZQ dipolar recoupling via RN_n schemes employing adiabatic pulses. Such an approach was successfully used for obtaining ¹3C chemical shift correlation spectra of a uniformly labelled sample of (CUG)₉7– a triplet repeat expansion RNA that has been implicated in the neuromuscular disease myotonic dystrophy. An analysis of the ¹3C sugar carbon chemical shifts suggests, in agreement with our recent ¹5N MAS-NMR studies, that this RNA adopts an A-helical conformation.     

TEDOR with adiabatic inversion pulses: Resonance assignments of <Superscript>13</Superscript>C/<Superscript>15</Superscript>N labelled RNAs

We have examined via numerical simulations the performance characteristics of different 15N RF pulse schemes employed in the transferred echo double resonance (TEDOR) experimental protocol for generating 13C-15N dipolar chemical shift correlation spectra of isotopically labelled biological systems at moderate MAS frequencies (omega(r) approximately 10 kHz). With an 15N field strength of approximately 30-35 kHz that is typically available in 5 mm triple resonance MAS NMR probes, it is shown that a robust TEDOR sequence with significant tolerance to experimental imperfections sa as H1 inhomogeneity and resonance offsets can be effectively implemented using adiabatic heteronuclear dipolar recoupling pulse schemes. TEDOR-based 15N-13C and 15N-13C-13C chemical shift correlation experiments were carried out for obtaining 13C and 15N resonance assignments of an RNA composed of 97 (CUG) repeats which has been implicated in the neuromuscular disease myotonic dystrophy.     

Adiabatic TOBSY in rotating solids

A MAS solid state NMR approach for achieving efficient scalar coupling mediated through-bond (13)C chemical shift correlations of the aliphatic carbons in uniformly labelled peptides/proteins is described. The method involves the application of a continuous train of adiabatic inversion pulses, as in the adiabatic TOCSY experiments carried out in solution state NMR studies. While rotor synchronised application of adiabatic inversion pulses leads to dipolar correlations, it is shown here via numerical simulations and experimental measurements that asynchronous application of adiabatic pulses can facilitate the mapping of through-bond connectivities. The method employs a suitable phasing scheme for generating the desired isotropic mixing Hamiltonian and requires moderate (13)C RF field strength only.     

Tailoring broadband inversion pulses for MAS Solid state NMR

A simple approach is demonstrated for designing optimised broadband inversion pulses for MAS solid state NMR studies of biological systems. The method involves a two step numerical optimisation procedure and takes into account experimental requirements such as the pulse length, resonance offset range and extent of H₁ inhomogeneity compensation needed. A simulated annealing protocol is used initially to find appropriate values for the parameters that define the well known tanh/tan adiabatic pulse such that a satisfactory spin inversion is achieved with minimum RF field strength. This information is then used in the subsequent stage of refinement where the RF pulse characteristics are further tailored via a local optimisation procedure without imposing any restrictions on the amplitude and frequency modulation profiles. We demonstrate that this approach constitutes a generally applicable tool for obtaining pulses with good inversion characteristics. At moderate MAS frequencies the efficacy of the method is experimentally demonstrated for generating double-quantum NMR spectra via the zero-quantum dipolar recoupling scheme RFDR.     

2D relayed anisotropy correlation NMR: Characterization of the 13C′ chemical shift tensor orientation in the peptide plane of the dipeptide AibAib

An approach to the determination of the orientation of the carbonyl chemical shift (CS) tensor in a ¹³C-¹⁵N-¹H dipolar coupled spin network is proposed. The method involves the measurement of the Euler angles of the ¹³C-¹⁵N and ¹⁵N-¹H dipolar vectors in the ¹³C CS tensor principal axes system, respectively, via a ¹³C-¹⁵N REDOR experiment and by a 2D relayed anisotropy correlation of the ¹³C CSA (₂) and ¹⁵N-¹H dipolar interaction (₁). Via numerical simulations the sensitivity of the ₁ cross sections of the 2D spectrum to the Euler angles of the ¹⁵N-¹H bond vector in the ¹³C CSA frame is shown. Employing the procedure outlined in this work, we have determined the orientation of the ¹³C CS tensor in the peptide plane of the dipeptide AibAib-NH₂ (Aib = -aminoisobutyric acid). The Euler angles are found to be (_CN, _CN) = (34° ± 2°, 88° ± 2° ) and (_NH, _NH) = (90° ± 10°, 80° ± 10° ). From the measured Euler angles it is seen that the ₃₃ and ₂₂ components of the ¹³C CS tensor approximately lie in the peptide plane.     

Broadband homonuclear chemical shift correlation at high MAS frequencies: a study of tanh/tan adiabatic RF pulse schemes without $${^{{\bf 1}}\hbox{{\bf H}}}$$ decoupling during mixing

At high magic angle spinning (MAS) frequencies the potential of tanh/tan adiabatic RF pulse schemes for ¹³C chemical shift correlation without ¹H decoupling during mixing has been evaluated. It is shown via numerical simulations that a continuous train of adiabatic ¹³C inversion pulses applied at high RF field strengths leads to efficient broadband heteronuclear decoupling. It is demonstrated that this can be exploited effectively for generating through-bond and through-space, including double-quantum, correlation spectra of biological systems at high magnetic fields and spinning speeds with no ¹H decoupling applied during the mixing period. Experiments carried out on a polycrystalline sample of histidine clearly suggest that an improved signal to noise ratio can be realised by eliminating ¹H decoupling during mixing.     

Redor in IS1S2 systems

An approach to the determination of the 2-¹³C chemical shift (CS) tensor orientation in pyrimidine bases via heteronuclear MAS NMR spectroscopy is presented. Considering a dipolar coupled spin 1/2 network of the type S₁-I-S₂ consisting of directly bonded heteronuclear spins, we have carried out numerical simulations to assess the sensitivity of I-S REDOR spinning sidebands to the Euler angles defining the orientation of the I-S₁ and I-S₂ dipolar vectors in the I spin CS tensor principal axes system. Our investigations clearly demonstrate the potential of I-S REDOR studies in IS₁S₂ systems for obtaining with high reliability and accuracy the I spin chemical shift tensor orientation in the molecular frame spanned by the two internuclear vectors I-S₁ and I-S₂. The significant contribution to the observed REDOR sideband intensities from anti-phase operator terms which are present at the start of the data acquisition is illustrated. The procedure for the recording and analysis of the I-S REDOR spectra in IS₁S₂ systems is presented and the measurement of the 2-¹³C CS tensor orientation in a polycrystalline sample of [1,3-¹⁵N₂, 2-¹³C] uracil, which is one of the four bases in RNA, is experimentally demonstrated.     

Structure of an elastin-mimetic polypeptide by solid-state NMR chemical shift analysis

The conformation of an elastin-mimetic recombinant protein, [(VPGVG)4(VPGKG)]39, is investigated using solid-state NMR spectroscopy. The protein is extensively labeled with 13C and 15N, and two-dimensional 13C-13C and 15N-13C correlation experiments were carried out to resolve and assign the isotropic chemical shifts of the various sites. The Pro 15N, 13Calpha, and 13Cbeta isotropic shifts, and the Gly-3 Calpha isotropic and anisotropic chemical shifts support the predominance of type-II beta-turn structure at the Pro-Gly pair but reject a type-I beta-turn. The Val-1 preceding Pro adopts mostly beta-sheet torsion angles, while the Val-4 chemical shifts are intermediate between those of helix and sheet. The protein exhibits a significant conformational distribution, shown by the broad line widths of the 15N and 13C spectra. The average chemical shifts of the solid protein are similar to the values in solution, suggesting that the low-hydration polypeptide maintains the same conformation as in solution. The ability to measure these conformational restraints by solid-state NMR opens the possibility of determining the detailed structure of this class of fibrous proteins through torsion angles and distances.     

Recoupling and decoupling of nuclear spin interactions at high MAS frequencies: numerical design of CN<Stack><Subscript><Emphasis Type="Italic">n</Emphasis></Subscript><Superscript>ν</Superscript></Stack> symmetry-based RF pulse schemes

The CN _n ^ν class of RF pulse schemes, commonly employed for recoupling and decoupling of nuclear spin interactions in magic angle spinning solid state NMR studies of biological systems, involves the application of a basic “C” element corresponding to an RF cycle with unity propagator. In this study, the design of CN _n ^ν symmetry-based RF pulse sequences for achieving ¹³C–¹³C double-quantum dipolar recoupling and through bond scalar coupling mediated ¹³C–¹³C chemical shift correlation has been examined at high MAS frequencies employing broadband, constant-amplitude, phase-modulated basic “C” elements. The basic elements were implemented as a sandwich of a small number of short pulses of equal duration with each pulse characterised by an RF phase value. The phase-modulation profile of the “C” element was optimised numerically so as to generate efficient RF pulse sequences. The performances of the sequences were evaluated via numerical simulations and experimental measurements and are presented here. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Numerical design of RN<Stack><Subscript><Emphasis Type="Italic">n</Emphasis></Subscript><Superscript>ν</Superscript></Stack> symmetry-based RF pulse schemes for recoupling and decoupling of nuclear spin interactions at high MAS frequencies

An approach for the efficient implementation of RN _n ^ν symmetry-based pulse schemes that are often employed for recoupling and decoupling of nuclear spin interactions in biological solid state NMR investigations is demonstrated at high magic-angle spinning frequencies. RF pulse sequences belonging to the RN _n ^ν symmetry involve the repeated application of the pulse sandwich {R _ϕ R _−ϕ}, corresponding to a propagator U _RF = exp(−i4ϕI _z), where ϕ = πν/N and R is typically a pulse that rotates the nuclear spins through 180° about the x-axis. In this study, broadband, phase-modulated 180° pulses of constant amplitude were employed as the initial ‘R’ element and the phase-modulation profile of this ‘R’ element was numerically optimised for generating RN _n ^ν symmetry-based pulse schemes with satisfactory magnetisation transfer characteristics. At representative MAS frequencies, RF pulse sequences were implemented for achieving ¹³C–¹³C double-quantum dipolar recoupling and through bond scalar coupling mediated chemical shift correlation and evaluated via numerical simulations and experimental measurements. The results from these investigations are presented here. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Effect of a mutation on the structure and dynamics of an alpha-helical antifreeze protein in water and ice

One strategy of psychrophilic organisms to survive subzero temperature is to produce antifreeze protein (AFPs), which inhibit the growth of macromolecular ice. To better understand the binding mechanism, the structure and dynamics of several AFPs have been studied by nuclear magnetic resonance (NMR) and X-ray crystallography. The results have shown that different organisms can use diverse structures (alpha-helix, beta-helix, or different globular folds) to achieve the same function. A number of studies have focused on understanding the relationship between the alpha-helical structure of fish type I AFP and its function as an inhibitor of ice growth. The results have not explained whether the 90% activity loss caused by the conservative mutation of two threonines to serines (Thr13Ser/Thr24Ser) is attributable to a change in protein structure in solution or in ice. We examine here the structure and dynamics of the winter flounder type I AFP and the mutant Thr13Ser/Thr24Ser in both solution and solid states using a wide range of NMR approaches. Both proteins remain fully alpha-helical at all temperatures and in ice, demonstrating that the activity change must therefore not be attributable to changes in the protein fold or dynamics but differences in surface properties.     

REDOR: an assessment of the efficacy of dipolar recoupling with adiabatic inversion pulses

A numerical assessment of the efficacy of REDOR recoupling of heteronuclear dipolar interactions employing adiabatic dephasing pulses has been carried out by considering an isolated dipolar coupled spin 1/2 I-S system. At moderate magic angle spinning frequencies in the range of 3–6 kHz and when the CSA of the dephased spins is large, it is shown that efficient broadband heteronuclear dipolar recoupling and reliable distance estimates can be achieved even under conditions where a significant fraction of the rotor period is occupied by the adiabatic pulse. The efficacy of REDOR with adiabatic inversion pulses has been demonstrated experimentally in two model ¹⁵N-¹³C spin systems, (¹³C,¹⁵N) Aib-(¹⁵N) Aib-NH₂ (Aib = -aminoisobutyric acid) and (1-¹³C,¹⁵N) glycine.     

Triple Resonance MAS NMR with (13C, 15N) Labelled Molecules: Reduced Dimensionality Data Acquisition Via 13C-15N Heteronuclear Two-Spin Coherence Transfer Pathways

A reduced dimensionality magic angle spinning solid-state NMR experimental protocol for obtaining chemical shift correlation spectra of dipolar coupled nuclei in uniformly (¹³C, ¹⁵N) labelled biological systems is described and demonstrated. The method involves a mapping of the evolution frequencies of heteronuclear ¹³C-¹⁵N zero- and double-quantum coherences. In comparison to a reduced dimensionality procedure involving the simultaneous incrementation of two single-quantum chemical shift evolution periods, the approach described here could be potentially advantageous for minimising the heat dissipated in the probe by high power ¹H decoupling in experiments requiring long t ₁ acquisition times.     

Secondary structural effects on protein NMR chemical shifts

For an amino acid in protein, its chemical shift, (, )_s, is expressed as a function of its backbone torsion angles ( and ) and secondary state (s): (, )_{s=, )_coil+(, )_s}, where (, )_coil represents its chemical shift at coil state (s=coil); (, )_s (s=sheet or helix) is herein defined as secondary structural effect correction factor, which are quantitatively determined from Residue-specific Secondary Structure Shielding Surface (RSS) for ¹³CO, ¹³C, ¹³C,¹H, ¹⁵N, and ¹HN nuclei. The secondary structural effect correction factors defined in this study differ from those in earlier investigations by separating out the backbone conformational effects. As a consequence, their magnitudes are significantly smaller than those earlier reported. The present (, )_sheet and (, )_helix were found varying little with backbone conformation and the 20 amino acids, specifically for ¹³CO, ¹³C, and ¹H nuclei. This study also carries out some useful investigations on other chemical shift prediction approaches – the traditional shielding surfaces, SHIFTS, SHIFTX, PROSHIFT, and identifies some unexpected shortcomings with these methods. It provides some useful insights into understanding protein chemical shifts and suggests a new route to improving chemical shifts prediction. The RSS surfaces were incorporated into the program PRSI [Wang and Jardetzky, J. Biomol. NMR, 28: 327–340 (2004)], which is available for academic users at http://www.pronmr.com or by sending email to the author (yunjunwang@yahoo.com).     

ORB, a homology-based program for the prediction of protein NMR chemical shifts

A computer program (ORB) has been developed to predict ¹H,¹³C and ¹⁵N NMR chemical shifts of previouslyunassigned proteins. The program makes use of the information contained in achemical shift database of previously assigned proteins supplemented by astatistically derived averaged chemical shift database in which the shifts arecategorized according to their residue, atom and secondary structure type[Wishart et al. (1991) J. Mol. Biol., 222, 311–333]. The predictionprocess starts with a multiple alignment of all previously assigned proteinswith the unassigned query protein. ORB uses the sequence and secondarystructure alignment program XALIGN for this task [Wishart et al. (1994)CABIOS, 10, 121–132; 687–688]. The prediction algorithm in ORB isbased on a scoring of the known shifts for each sequence. The scores dependon global sequence similarity, local sequence similarity, structuralsimilarity and residue similarity and determine how much weight one particularshift is given in the prediction process. In situations where no applicablepreviously assigned chemical shifts are available, the shifts derived from theaveraged database are used. In addition to supplying the user with predictedchemical shifts, ORB calculates a confidence value for every prediction. Theseconfidence values enable the user to judge which predictions are the mostaccurate and they are particularly useful when ORB is incorporated into acomplete autoassignment package. The usefulness of ORB was tested on threemedium-sized proteins: an interleukin-8 analog, a troponin C synthetic peptideheterodimer and cardiac troponin C. Excellent results are obtained if ORB isable to use the chemical shifts of at least one highly homologous sequence.ORB performs well as long as the sequence identity between proteins with knownchemical shifts and the new sequence is not less than 30%.     

A simple method to adjust inconsistently referenced <Superscript>13</Superscript>C and <Superscript>15</Superscript>N chemical shift assignments of proteins

Inconsistent ¹³C and ¹⁵N chemical shift referencing is a continuing problem associated with protein chemical shift assignments deposited in BioMagResBank (BMRB). Here we describe a simple and robust approach that can quantitatively determine the ¹³C and ¹⁵N referencing offsets solely from chemical shift assignment data and independently of 3D coordinate data. This novel structure-independent approach permitted the assessment and determination of ¹³C and ¹⁵N reference offsets for all protein entries deposited in the BMRB. Tests on 452 proteins with known 3D structures show that this structure-independent approach yields ¹³C and ¹⁵N referencing offsets that exhibit excellent agreement with those calculated on the basis of 3D structures. Furthermore, this protocol appears to improve the accuracy of chemical shift-derived secondary structural identification, and has been formally incorporated into a computer program called PSSI (http//www.pronmr.com).Supplementary material to this paper is available in electronic form at http://dx.doi.org/10.1007/s10858-004-7441-3