We report the first detailed investigation of the
1H,
13C,
15N, and
19F nuclear
magnetic resonance(NMR) spectroscopic shifts in para
magnetic metalloprotein and metalloporphyrin systems. The >3500 ppmrange in experimentally observed hyperfine shifts can be well predicted by using density functional theory(DFT) methods. Using spin-unrestricted methods together with large, locally dense basis sets, we obtainvery good correlations between experimental and theoretical results:
R2 = 0.941 (
N = 37,
p < 0.0001)when using the pure BPW91 functional and
R2 = 0.981 (
N = 37,
p < 0.0001) when using the hybridfunctional, B3LYP. The correlations are even better for C
mages/gifchars/alpha.gif" BORDER=0> and C
mages/gifchars/beta2.gif" BORDER=0 ALIGN="middle"> shifts alone: C
mages/gifchars/alpha.gif" BORDER=0>,
R2 = 0.996 (
N = 8,
p < 0.0001, B3LYP); C
mages/gifchars/beta2.gif" BORDER=0 ALIGN="middle">,
R2 = 0.995 (
N = 8,
p < 0.0001, B3LYP), but are worse for C
meso, in part becauseof the s
mall range in C
meso shifts. The results of these theoretical calculations also lead to a revision ofprevious heme and proxi
mal histidine residue
13C NMR assignments in deoxymyoglobin which are confirmedby new quantitative NMR measurements. Molecular orbital (MO) analyses of the resulting wave functionsprovide a graphical representation of the spin density distribution in the [Fe(TPP)(CN)
2]
- (TPP = 5,10,15,20-tetraphenylporphyrinato) system (
S =
1/
2), where the spin density is shown to be localized pri
marily in thed
xz (or d
yz) orbital, together with an analysis of the frontier MOs in Fe(TPP)Cl (
S =
5/
2), Mn(TPP)Cl (
S = 2),and a deoxymyoglobin model (
S = 2). The ability to now begin to predict essentially all heavy atom NMRhyperfine shifts in para
magnetic metalloporphyrins and metalloproteins using quantum chemical methodsshould open up new areas of research aimed at structure prediction and refinement in para
magnetic systemsin much the same way that DFT methods have been used successfully in the past to predict/refine elementsof dia
magnetic heme protein structures.