Fast semiempirical calculations for nuclear magnetic resonance chemical shifts: a divide-and-conquer approach. Academic Article uri icon


  • A new approach to calculate nuclear magnetic resonance chemical shifts has been implemented at the semiempirical modified neglect of diatomic overlap level using gauge-including atomic orbitals. The perturbed density matrix with respect to the magnetic field is obtained by the diagonalization of the complex Fock matrix using the divide and conquer (DC) method, instead of by solving the computationally expensive coupled perturbed Hartree-Fock equations. Adopting the Patchkovskii and Thiel parameters [S. Patchkovskii and W. Thiel J. Comput. Chem. 20, 1220 (1999)], we were able to reproduce their results for small organic molecules. The errors introduced by DC method are negligible, as shown by the calculations on a series of polyalaine structures. Test calculations on proteins have demonstrated that our approach makes it possible to calculate chemical shifts routinely on systems with hundreds of atoms with good accuracy.

published proceedings

  • J Chem Phys

altmetric score

  • 3

author list (cited authors)

  • Wang, B., Brothers, E. N., van der Vaart, A., & Merz, K. M.

citation count

  • 26

complete list of authors

  • Wang, Bing||Brothers, Edward N||van der Vaart, Arjan||Merz, Kenneth M

publication date

  • June 2004