Symmetry principles in the nuclear magnetic resonance of spinning solids: Heteronuclear recoupling by generalized Hartmann-Hahn sequences

General symmetry principles for rotor-synchronized pulse sequences in magic-angle spinning solid-state nuclear magnetic resonance are presented. The theory of symmetry-based pulse sequences using π pulse elements is presented for the first time. The symmetry theory is extended to the case of generalized Hartmann–Hahn sequences, in which rotor-synchronized rf irradiation is applied simultaneously to two isotopic spin species. The symmetry principles lead to heteronuclear selection rules. The symmetry theory is used to design pulse sequences which implement heteronuclear dipolar recoupling at the same time as decoupling homonuclear spin–spin interactions, and which also suppress chemical shift anisotropies. A number of specific pulse sequences based on these principles are listed. Experimental demonstrations are given of heteronuclear two-dimensional correlation spectroscopy, heteronuclear multiple-quantum spectroscopy, and the estimation of internuclear dipolar couplings.

[1]  M Bak,et al.  SIMPSON: a general simulation program for solid-state NMR spectroscopy. , 2000, Journal of magnetic resonance.

[2]  B. Meier,et al.  Broadband polarization-transfer experiments for rotating solids , 1994 .

[3]  O. Antzutkin,et al.  Direct Determination of a Peptide Torsional Angle ψ by Double-Quantum Solid-State NMR , 1997 .

[4]  H. D. de Groot,et al.  Anomalous rotational resonance spectra in magic-angle spinning NMR. , 1999, Journal of magnetic resonance.

[5]  B. Meier,et al.  Fast MAS total through-bond correlation spectroscopy. , 2001, Journal of magnetic resonance.

[6]  Andrew E. Bennett,et al.  Heteronuclear decoupling in rotating solids , 1995 .

[7]  T. Oas,et al.  Rotary resonance recoupling of dipolar interactions in solid‐state nuclear magnetic resonance spectroscopy , 1988 .

[8]  H. Fuess,,et al.  Neutron diffraction study of l‐histidine hydrochloride monohydrate , 1977 .

[9]  T. Gullion Measurement of dipolar interactions between spin-12 and quadrupolar nuclei by rotational-echo, adiabatic-passage, double-resonance NMR , 1995 .

[10]  Robin K. Harris,et al.  Encyclopedia of nuclear magnetic resonance , 1996 .

[11]  Peter Mansfield,et al.  Symmetrized Multipulse Nuclear-Magnetic-Resonance Experiments in Solids: Measurement of the Chemical-Shift Shielding Tensor in Some Compounds , 1973 .

[12]  B. Meier,et al.  Efficient N-15-C-13 polarization transfer by adiabatic-passage Hartmann-Hahn cross polarization , 1996 .

[13]  Jacob Schaefer,et al.  Magic-angle spinning and polarization transfer in proton-enhanced NMR , 1977 .

[14]  H. Geen,et al.  Improved scalar shift correlation NMR spectroscopy in solids , 2001 .

[15]  B. Meier,et al.  Adiabatic passage Hartmann-Hahn cross polarization in NMR under magic angle sample spinning , 1995 .

[16]  T. Fujiwara,et al.  Multidimensional Solid-State Nuclear Magnetic Resonance for Correlating Anisotropic Interactions under Magic-Angle Spinning Conditions , 1997 .

[17]  V. Ladizhansky,et al.  A Method for Measuring Heteronuclear (1H−13C) Distances in High Speed MAS NMR , 2000 .

[18]  C. Rienstra,et al.  NH-NH vector correlation in peptides by solid-state NMR. , 2000, Journal of magnetic resonance.

[19]  M. Levitt,et al.  Frequency-switched pulse sequences: Homonuclear decoupling and dilute spin NMR in solids , 1989 .

[20]  R. Griffin,et al.  Site-Resolved Determination of Peptide Torsion Angle O from the Relative Orientations of Backbone N-H and C-H Bonds by Solid-State NMR , 1997 .

[21]  T. Gullion,et al.  θ-REDOR: an MAS NMR method to simplify multiple coupled heteronuclear spin systems , 1998 .

[22]  T. Gullion,et al.  New, compensated Carr-Purcell sequences , 1990 .

[23]  A. Lesage,et al.  Carbon-13 spectral editing in solid-state NMR using heteronuclear scalar couplings , 1998 .

[24]  S. Vega,et al.  High-resolution proton solid-state NMR spectroscopy by phase-modulated Lee–Goldburg experiment , 1999 .

[25]  Walter I. Goldburg,et al.  Nuclear-Magnetic-Resonance Line Narrowing by a Rotating rf Field , 1965 .

[26]  D. Raleigh,et al.  Theory and simulations of homonuclear spin pair systems in rotating solids , 1990 .

[27]  A. Kvick,et al.  Precision neutron diffraction structure determination of protein and nucleic acid components. III. The crystal and molecular structure of the amino acid α‐glycine , 1972 .

[28]  G. Bodenhausen,et al.  Heteronuclear solid-state correlation spectroscopy , 1982 .

[29]  G. Bodenhausen,et al.  NMR cross polarization by adiabatic passage through the Hartmann-Hahn condition (APHH) , 1994 .

[30]  G. Drobny,et al.  Windowless dipolar recoupling: the detection of weak dipolar couplings between spin 12 nuclei with large chemical shift anisotropies , 1995 .

[31]  G. Bodenhausen,et al.  Principles of nuclear magnetic resonance in one and two dimensions , 1987 .

[32]  M. Hohwy,et al.  Broadband dipolar recoupling in the nuclear magnetic resonance of rotating solids: A compensated C7 pulse sequence , 1998 .

[33]  A. W. Hing,et al.  Transferred-echo double-resonance NMR , 1992 .

[34]  N. Nielsen,et al.  Efficient dipolar recoupling in the NMR of rotating solids. A sevenfold symmetric radiofrequency pulse sequence , 1995 .

[35]  James E. Roberts,et al.  Two-dimensional heteronuclear chemical shift correlation spectroscopy in rotating solids , 1984 .

[36]  M. Levitt,et al.  Pulse sequence symmetries in the nuclear magnetic resonance of spinning solids: Application to heteronuclear decoupling , 1999 .

[37]  O G Johannessen,et al.  Signs of frequencies and phases in NMR: the role of radiofrequency mixing. , 2000, Journal of magnetic resonance.

[38]  J. Ackerman,et al.  Resolved Dipolar Coupling Spectra of Dilute Nuclear Spins in Solids , 1975 .

[39]  Max Wolfsberg,et al.  Investigations of a nonrandom numerical method for multidimensional integration , 1973 .

[40]  Andreas Brinkmann,et al.  Synchronous helical pulse sequences in magic-angle spinning nuclear magnetic resonance: Double quantum recoupling of multiple-spin systems , 2000 .

[41]  R. R. Ernst,et al.  Heteronuclear correlation spectroscopy in rotating solids , 1983 .

[42]  Kazuyuki Takeda,et al.  Modulatory resonance recoupling of heteronuclear dipolar interactions under magic angle spinning , 1996 .

[43]  A. Lesage,et al.  Complete Resonance Assignment of a Natural Abundance Solid Peptide by Through-Bond Heteronuclear Correlation Solid-State NMR , 2000 .

[44]  R G Griffin,et al.  Recoupling of heteronuclear dipolar interactions with rotational-echo double-resonance at high magic-angle spinning frequencies. , 2000, Journal of magnetic resonance.

[45]  C. Rienstra,et al.  Efficient Multispin Homonuclear Double-Quantum Recoupling for Magic-Angle Spinning NMR: 13C−13C Correlation Spectroscopy of U-13C-Erythromycin A , 1998 .

[46]  Angelika Sebald,et al.  Dipolar recoupling under magic-angle spinning conditions , 2000 .

[47]  Steven O. Smith,et al.  Ramped-Amplitude Cross Polarization in Magic-Angle-Spinning NMR , 1994 .

[48]  N. Nielsen,et al.  Double‐quantum homonuclear rotary resonance: Efficient dipolar recovery in magic‐angle spinning nuclear magnetic resonance , 1994 .

[49]  B. Meier,et al.  Broadband Polarization Transfer under Magic-Angle Spinning: Application to Total Through-Space-Correlation NMR Spectroscopy , 1997 .

[50]  R. Griffin,et al.  Chemical shift correlation spectroscopy in rotating solids: Radio frequency‐driven dipolar recoupling and longitudinal exchange , 1992 .

[51]  W. Magnus On the exponential solution of differential equations for a linear operator , 1954 .

[52]  S. Ravindranathan,et al.  Investigation of Carbohydrate Conformation in Solution and in Powders by Double-Quantum NMR , 2000 .

[53]  R. Griffin,et al.  Solid-state NMR measurement of Ψ in peptides: a NCCN 2Q-heteronuclear local field experiment , 1997 .

[54]  D. Sandström,et al.  Direct determination of a molecular torsional angle by solid-state NMR , 1996 .

[55]  Scott A. Smith,et al.  Recoupling of heteronuclear dipolar interactions in solid state magic-angle spinning NMR by simultaneous frequency and amplitude modulation , 1997 .

[56]  T. Oas,et al.  Rotary Resonance Recoupling in Heteronuclear Spin Pair Systems , 1988 .

[57]  D. Varshalovich,et al.  Quantum Theory of Angular Momentum , 1988 .

[58]  Andreas Brinkmann,et al.  Symmetry principles for the design of radiofrequency pulse sequences in the nuclear magnetic resonance of rotating solids , 2000 .

[59]  J. Chan C-REDOR : rotational echo double resonance under very fast magic-angle spinning , 2001 .

[60]  I. Lowe,et al.  Free Induction Decays of Rotating Solids , 1959 .

[61]  K. Schmidt-Rohr Torsion Angle Determination in Solid 13C-Labeled Amino Acids and Peptides by Separated-Local-Field Double-Quantum NMR , 1996 .

[62]  R. R. Ernst,et al.  Low-power multipulse line narrowing in solid-state NMR , 1981 .

[63]  C. Rienstra,et al.  Fivefold symmetric homonuclear dipolar recoupling in rotating solids: Application to double quantum spectroscopy , 1999 .

[64]  T. Gullion Detecting13C–17O Dipolar Interactions by Rotational-Echo, Adiabatic-Passage, Double-Resonance NMR , 1995 .

[65]  R. Griffin,et al.  Recoupling of Homo- and Heteronuclear Dipolar Interactions in Rotating Solids , 1994 .

[66]  T. Gullion,et al.  Detection of Weak Heteronuclear Dipolar Coupling by Rotational-Echo Double-Resonance Nuclear Magnetic Resonance , 1989 .

[67]  E. Hahn,et al.  Nuclear Double Resonance in the Rotating Frame , 1962 .

[68]  Y. Ishii,et al.  Relayed anisotropy correlation NMR: determination of dihedral angles in solids , 1996 .

[69]  Malcolm H. Levitt,et al.  The Signs of Frequencies and Phases in NMR , 1997 .

[70]  Ray Freeman,et al.  Broadband Decoupling in High-Resolution Nuclear Magnetic Resonance Spectroscopy , 1984 .

[71]  Alexander Pines,et al.  Proton‐enhanced NMR of dilute spins in solids , 1973 .

[72]  R. Tycko,et al.  Double-quantum filtering in magic-angle-spinning NMR spectroscopy: an approach to spectral simplification and molecular structure determination , 1991 .

[73]  M. Kainosho,et al.  Determination of the Complete Structure of a Uniformly Labeled Molecule by Rotational Resonance Solid-State NMR in the Tilted Rotating Frame , 1999 .

[74]  Titman,et al.  MAS double-quantum filtered dipolar shift correlation spectroscopy , 2000, Journal of magnetic resonance.

[75]  D. Sakellariou,et al.  Carbon-proton chemical shift correlation in solid-state NMR by through-bond multiple-quantum spectroscopy , 1998 .

[76]  U. Haeberlen,et al.  Coherent Averaging Effects in Magnetic Resonance , 1968 .

[77]  C. Rienstra,et al.  Local Structure and Relaxation in Solid-State NMR: Accurate Measurement of Amide N−H Bond Lengths and H−N−H Bond Angles , 2000 .

[78]  E. R. Andrew,et al.  Removal of Dipolar Broadening of Nuclear Magnetic Resonance Spectra of Solids by Specimen Rotation , 1959, Nature.

[79]  T. Gullion,et al.  Rotational-Echo, Double-Resonance NMR , 1989 .

[80]  V. Ladizhansky,et al.  Polarization transfer dynamics in Lee–Goldburg cross polarization nuclear magnetic resonance experiments on rotating solids , 2000 .