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Abstract Despite the wealth of information that has beenobtained from the study of paramagnetic hemes and hemeproteins by 1H NMR spectroscopy, there are certain limi-tations imposed by the nature of paramagnetically af-fected resonances that are difficult to overcome. Althoughit has long been recognized that 13C NMR spectroscopy islikely to be a powerful complementary technique to over-come some of these limitations, the low sensitivity andlow natural abundance of 13C nuclei has resulted in a lagin the application of 13C NMR spectroscopy to the studyof paramagnetic hemes and heme proteins. The tremen-dous advances in methodology and instrumentation wit-nessed in the NMR field, coupled to the advent of recom-binant DNA methods that have made possible the prepa-ration and purification of significant quantities of pro-teins, and the biosynthesis of 13C-labeled heme, have con-tributed to an increased interest in the study of paramag-netic heme active sites by 13C NMR spectroscopy. As a con-sequence, 13C NMR spectroscopy is emerging as a power-ful tool to study heme electronic structure and structure–function relationships in heme-containing proteins. In thisreport we strive to summarize some of the recent develop-ments in the analysis of paramagnetic hemes and heme-containing proteins by 13C NMR spectroscopy.
Heme-containing proteins and enzymes are vital com-ponents of most living organisms . A common featureamong heme proteins is the heme prosthetic group (proto-heme IX) (Fig. 1), which upon interacting with the proteinpolypeptide, is capable of tuning its reactivity and per-forming a large variety of chemical functions. Hence, hemeproteins participate in electron-transfer reactions (cyto-
chromes) , oxygen activation and insertion reactions(monooxygenases) , oxygen transport and storage (he-moglobin and myoglobin) , oxygen sensing in nitro-gen-fixing bacteria (FixL) , heme metabolism (hemeoxygenase) [6, 7], and regulatory functions based on nitricoxide (guanylyl cyclase, nitrophorins) [8, 9], to name afew. It is therefore important to elucidate how nature tunesthe redox properties and reactivity of the ubiquitous hemewithin a protein so that the resultant activity is that of oxy-gen binding, oxygen activation, oxygen sensing, or elec-tron transport at different redox potentials. In this context,the heme active site is a chromophore that is amenable tobe studied by a variety of spectroscopic techniques, suchas nuclear magnetic resonance (NMR), electron paramag-netic resonance (EPR), resonance Raman, electronic ab-sorption, and magnetic circular dichroic (MCD) spectro-scopies.
Mario Rivera · Gregori A. Caignan
Recent developments in the 13C NMR spectroscopic analysis of paramagnetic hemes and heme proteins
Anal Bioanal Chem (2004) 378 : 1464–1483DOI 10.1007/s00216-003-2340-0
Received: 12 August 2003 / Revised: 7 October 2003 / Accepted: 10 October 2003 / Published online: 20 January 2004
M. Rivera (!) · G. A. CaignanContribution from the Department of Chemistry, The University of Kansas, KS 66045–7582 Lawrence, USAe-mail: [email protected]
© Springer-Verlag 2004
Fig. 1 Protoheme IX. The numbering scheme follows the Fishernomenclature more commonly used in the magnetic resonance lit-erature [15, 29]. By using this nomenclature the heme substituentsare identified by their common names and a number indicatingtheir position on the heme macrocycle (e.g., 1 methyl, 2 vinyl, 6 propionate). The substituents with more than one carbon are fur-ther characterized by the use of Greek letters to designate the num-ber of bonds separating their carbons from the pyrrole ring (e.g., 2 vinyl-!, 6 propionate- "). In the asymmetric polypeptide fold,two heme isomeric forms (A and B) result from a 180° rotation ofthe heme about the !–# meso axis
The oxidation state of the heme iron is an importantmodulator of the physical, chemical, and biochemical prop-erties of heme proteins. For instance, myoglobin and he-moglobin form an oxyferrous complex, whereas the fer-ric oxidation state of these two heme proteins is non-functional. Electron-transfer proteins (cytochrome b5, cy-tochrome c) have evolved to rapidly shuttle between theferric and ferrous oxidation states, and oxygen-activatingheme proteins (cytochrome P450, peroxidases) exhibitchanges in the oxidation state of the heme iron (FeII, FeIII,FeIV) as the reaction progresses through the catalytic cy-cle. It is therefore desirable to probe the heme active sitein the different oxidation states.
The electronic structure of the heme changes with theoxidation and coordination state of the iron. Heme pro-teins can adopt different spin states as the relative energiesof the metal orbitals are disrupted by endogenous (protein
donated) and exogenous ligands of varying field strengths(Fig. 2). For example, the heme iron in the deoxy form ofhemoglobin and myoglobin is pentacoordinated; fourequatorial positions are occupied by the pyrrole nitrogensin the heme, and one of the axial positions is occupied bya proximal histidine ligand, as shown schematically inFig. 3A. The pentacoordinated Fe(II) in deoxymyoglobinadopts a high-spin, S=2 state. However, if an additionalstrong-field ligand, like O2 or CO, coordinates oppositethe proximal histidine (the distal side), the resulting hexa-coordinated ferrous iron adopts a low-spin, S=0 configu-ration. This is illustrated by a view of the active site ofoxymyoglobin in Fig. 3B. In a similar manner, ferric hemeoxygenase, which is coordinated by an endogenous histi-dine and a weak-field water ligand on the distal side [10,11] is found in the high-spin, S=5/2 state. Replacement ofthe water molecule by a strong-field ligand like cyanide
Fig. 2 Common spin states forthe physiologically relevantoxidation states of iron
produces a low-spin, S=1/2 state. By comparison, hemeproteins that function in electron transfer are typicallyhexacoordinated in the ferric (S=1/2) as well as in the fer-rous (S=0) oxidation states. The active site structure of theelectron-transfer protein cytochrome b5, in which the hemeis coordinated by two axial histidine ligands, is shown inFig. 3C. The coordination state of the heme iron often dic-tates the spin state, making the latter a useful tool to probethe ligation state of the metal center. More importantly,these coordination/spin state changes contribute to themechanism of activity of all heme proteins, thus under-scoring the importance of their investigation by spectro-scopic means.
Heme complexes and heme proteins fall into the cate-gory of paramagnetic molecules, as all of the commoniron electronic configurations, with the exception of Fe(II)low-spin, S=0, possess one or more unpaired electrons(Fig. 2). These unpaired electrons have a profound effecton the observed NMR chemical shifts as a consequence ofthe strong electron–nuclear hyperfine interaction. This in-teraction, which gives rise to the paramagnetic shift ($para)is composed of a scalar or contact contribution ($con) thatarises from unpaired spin delocalization onto nuclei onthe ligands, and a dipolar or through-space contribution,$dip (Eq. 1) . The typically large chemical shifts ob-served for paramagnetically affected resonances ($obs) canbe segmented into diamagnetic and paramagnetic contri-butions (Eq. 2).
Thus, in order to isolate and analyze the paramagnetic($para), also called isotropic ($iso) or hyperfine ($hyp) shifts,the corresponding chemical shifts of an isostructural dia-magnetic molecule ($dia) should be subtracted from theobserved shifts (Eq. 3) .
It is important to understand the nature of the contact anddipolar shift contributions in order to appreciate and inter-pret the information that can be obtained from paramag-netic shifts. The contact contribution to the paramagneticshift is brought about by scalar coupling between electronspins and individual nuclei. When a single spin level withan isotropic g tensor is populated, and to the extent thatCurie law is valid (usually approximately applicable forferrihemes), the contact shift can be expressed by Eq. 4,where S is the total spin quantum number, g is the iso-tropic (average) g value, # is the magnetogyric ratio of thenucleus in question, T is the absolute temperature, " is theBohr magneton, k is the Boltzmann constant, and A is thehyperfine (scalar) coupling constant for coupling the spinof the electron to the spin of the nucleus of interest [14,15, 16, 17, 18].
Interpretation of the contact contribution to the 1H para-magnetic shift in terms of metal ligand covalency is done
!" # #$%
! ! != "
! ! != +
! ! != +
Fig. 3 A Schematic representation ofthe Fe(II) heme in deoxymyoglobin.B A view of the heme active site ofoxymyoglobin, where the proximalhistidine ligand is yellow, the heme isred, and the distal O2 ligand is blue(PDB access code 1AJ6). A view ofthe active site of mitochondrial cyto-chrome b5, where the heme (red) iscoordinated by two axial histidine lig-ands shown in yellow (PDB accesscode is 1B5 M)
in the context of the McConnell equation  (Eq. 5),which relates the hyperfine coupling for each individualproton in an aromatic fragment (AH) to the unpaired spindensity at the carbon to which the proton is attached (%C).QH is an empirical parameter (–63 MHz).
In the case of an aromatic carbon atom the hyperfine cou-pling constant AC can be related to the spin density cen-tered on its & orbital (%&
C) and to the spin density centeredon the & orbitals of the three atoms xi bonded to it (%&
xi)(Eq. 6) . SC accounts for spin polarization of the 1 s or-bital by unpaired spin density located on the pz (&) orbitalof the same carbon atom, QCxi accounts for spin polariza-tion of the 2 s orbitals on neighboring carbons by unpaired& spin density on the observed carbon atom, and QxiC forspin polarization of the 2 s electrons on the observed car-bon atom by & spin density on the neighboring carbons[17, 21, 22, 23, 24].
For a methyl carbon atom bound to the pyrrole " carbonof heme, one obtains Eq. 7, where C' denotes the aromaticcarbon to which the methyl group is bound (QC
C'C(–39 MHz) [18, 21, 25]. It is therefore clear that the $concontribution to the observed shift for a heme methyl car-bon depends only on the unpaired electron density on thepyrrole " carbon to which the methyl carbon is bound.The relevance of Eq. 7 to the study of heme electronicstructure by 13C NMR spectroscopy will become evidentlater in this review.
The dipolar contribution to the isotropic shift results fromthrough-space interactions (dipole coupling) of the nu-clear and electron magnetic moments. For heteronuclei(13C) the $dip contribution to the isotropic shift consists oftwo terms, a metal centered ($M
dip) and a ligand centered($L
dip) contribution. The term $Mdip results from coupling
between the nucleus under observation and the unpairedspin density on the metal, and the term $L
dip results fromcoupling between the nucleus under observation and un-paired spin density on the pz orbitals of the ligand. The$L
dip term is known to be small in low-spin ferrihemes ,and in the case of heme substituents such as heme methyls,which do not participate directly in the delocalized & or-bitals, $L
dip is negligible [25, 27]. A general expression forthe predominant $M
dip contribution is given by Eq. 8:
where r is the metal nucleus distance vector, N is Avoga-dro’s number, )ii are the principal components of the mag-netic susceptibility tensor, * is the angle between the pro-ton–metal vector and the z molecular axis, + is the angle
between the projection of the r vector on the xy plane andthe x axis, and µ0 is the vacuum permeability [15, 28, 29].
The linewidths of paramagnetically affected resonan-ces can be very large as a consequence of the effect of theelectron magnetic moment on nuclear relaxation. In thecase of low-spin ferric hemes and relatively small hemeproteins Curie relaxation [30, 31] can be ignored and therelaxation rate (Robs) of a resonance in a paramagneticsystem is expressed as the sum of paramagnetic (Rpara)and diamagnetic (Rdia) terms (Eq. 9) .
The work of Solomon  and Bloembergen  pointedout that dipolar and contact interactions need to be con-sidered to understand the effect of electron–nuclear inter-actions that lead to efficient nuclear relaxation. This topichas been reviewed exhaustively [35, 36]. Thus, the ex-pressions for R1para (1/T1 para) and R2para (1/T2para) describ-ing the relaxation of a heme methyl carbon (13CH3) [32,37] are given by Eqs. 10 and 11. The first term denotesnuclear relaxation through the electron–nuclear dipole–di-pole interaction (dipolar relaxation) and the second termrepresents relaxation through hyperfine contact interac-tions between electrons and nuclei. Most constants havebeen previously defined; rM and rL represent the distancebetween the nucleus and the metal, and the C"–13CH3bond length, respectively, % is the unpaired electron den-sity at the pyrrole " carbon (C") to which the 13CH3 isbound, ,C the 13C nuclear resonance frequency, ,S theelectron resonance frequency, -c the correlation time forthe dipolar interaction, and -e the correlation time for thecontact exchange interaction. The dipolar exchange in-teraction -c comprises the rotational correlation time (-r),chemical exchange effects characterized by -ex, and elec-tron relaxation time constants T1e and T2e (Eq. 12),whereas the contact interaction -e depends on T1e and T2eand -ex (Eq. 13).
[ ]! ! !" !#!$
! " # !
' '! ! " #
" !#!% % ! " #
! ! "# $ $
! ! %
$ $$% % $ % $$ $% $ % % $
$$% % $
& '= + +( )* +& '+ +( )+ , +( )( )+ +( )+ + +* +
+ & '& '+ +( )( ) + ,* + * +!
[ ]! " !# !$!%
& '! # $ ! ! # $
# !$"& ! # $
! ! "# $ $
! ! %
- - -, , - , - , , -
-, , -
. /= + +0 12 3. /+ +0 1+ 4 + + +2 3
+ . /. /+ 0 10 1 + 42 3 2 3!
! ! != +
! "#$% !& '(!
!( " %)* #$% ((
*) ) )$
&µ *) )
45 6 7 8. /4 + 9 :; ;0 12 3 < =; ;= > ?+6 7; ;+ 4 9 :; ;@ < =A
! " !"# #=
! "! " # #& &% %= =
= + +B B
! " %=
In the case of large molecules such as heme proteins, ex-pressions 10 and 11 can be simplified to Eqs. 14 and 15,respectively, where it can be seen that the rates of relax-ation R1para and R2para for the heme methyl carbons are pro-portional to the unpaired electron density on the C" car-bon (%) to which the methyl carbon is bound . Theserelationships (Eqs. 14 and 15) have been used to demon-strate that the paramagnetic terms do not contribute pre-dominantly to the relaxation of the heme methyl carbon inferric low-spin myoglobin. These findings are in stark con-trast to the relaxation of heme peripheral protons, which isdominated by the paramagnetic contribution . Thus,provided that the paramagnetic contributions are quantita-tively estimated, it should be possible to interpret the re-laxation behavior of carbon resonances in terms of inter-nal molecular motion . Despite its promise, this aspectof 13C NMR spectroscopy applied to paramagnetic hemeproteins has not yet been studied in detail or exploited togain detailed understanding of the heme active site. Someof the reasons why 13C NMR spectroscopy has not beenwidely used, a reality that seems to be rapidly changing,are discussed below.
13C NMR spectroscopy in the analysis of heme proteins
The high sensitivity of the proton has led to an over-whelming emphasis on the utilization of 1H NMR spec-troscopy to study paramagnetic heme proteins [36, 38, 39,40]. For these molecules 1H NMR spectroscopy is capableof providing unique structural and electronic informationfor the heme active site and residues near the active sitebecause of the large hyperfine shifts that result from un-paired electron density [12, 16, 29, 41, 42, 43]. Neverthe-less, 1H NMR spectroscopy of paramagnetic proteins hassome fundamental limitations: (a) Asymmetric delocal-ization of unpaired electron density results in large iso-tropic shifts for some of the heme substituents but small tonegligible isotropic shifts for others. This means thatsome of the resonances originating from the heme are re-solved from the diamagnetic envelope of resonances andthus are relatively easy to observe, whereas other hemeresonances are not resolved from the diamagnetic enve-lope and consequently their observation and assignment
are difficult. (b) Heme substituents in the reduced (usuallydiamagnetic) state lack isotropic shifts and are thereforedifficult to examine by 1H NMR spectroscopy. (c) Efficientspin–spin relaxation often makes through-bond proton–proton correlations in COSY and TOCSY experimentsunobservable. The development of cross peak coherencein these experiments (&Jt=&/2) requires that t=1/(2J).Hence, 70 ms and 35 ms, respectively, are required to de-velop cross peak coherences for vicinal (J=7 Hz) andgeminal (J=14 Hz) 1H–1H couplings. Since cross peak co-herence must develop completely during the detection pe-riod, La Mar has pointed out that in the case of paramag-netic systems, where the condition T2
–1>3JHH applies, theCOSY cross peaks from signals with short T2 values willbe weak and sometimes undetectable [38, 44]. In fact, ithas been proposed that the COSY cross peaks observed inparamagnetic systems originate from dipolar coupling andCurie spin–nuclear spin relaxation [44, 45]. By compari-son, the larger heteronuclear coupling 1JCH(140 Hz re-quires only approximately 4 ms for the development ofcross peak coherence, thus making heteronuclear correla-tion experiments immensely attractive when one is inter-ested in studying paramagnetic heme centers by NMRspectroscopy. In diamagnetic molecules, connectivitiesare detected across portions of molecules without the useof small 3JHH, using heteronuclear correlation experimentsbased on scalar 13C–13C and 13C–15N correlations. The rel-atively large value of the 1JCC ((50 Hz) is much largerthan typical 3JHH; hence, similar experiments should bedirectly applicable to the observation and assignment ofparamagnetically affected resonances.
Despite the potential utility of 13C NMR spectroscopyin the study of paramagnetic proteins, until relatively re-cently, the inherent lower sensitivity of 13C has largelylimited the effective use of natural abundance 13C NMRspectroscopy to observe resonances originating from theparamagnetic heme cofactor. In the 1970s and 1980s themost common application of 13C NMR spectroscopy tothe analysis of heme proteins involved the characteriza-tion of resonances originating from the distal carbon-monoxy (CO) ligand of heme proteins coordinated by a13C-enriched CO molecule [46, 47]. An early attempt toovercome the problems imposed by the low natural abun-dance of 13C nuclei was to develop synthetic methods tointroduce 13C labels into the vinyl groups of the hememacrocycle [39, 48]. These pioneering experiments, whichpermitted the observation of 13C resonances from hemevinyl groups in high-spin and low-spin myoglobin deriva-tives , demonstrated the practicality and importanceof applying 13C NMR spectroscopy to the analysis of para-magnetic heme proteins. More recently, the 1H–13C COSYspectra of natural abundance ferricytochrome c  andthat of sperm whale myoglobin , were utilized to as-sign the 13C resonances originating from the heme methylgroups. Subsequently, the proton-detected heteronuclearmultiple quantum coherence (HMQC) experiment was utilized to identify several heme carbons and theircorresponding proton resonances in the paramagnetic ac-tive site of cytochrome c550 , which culminated in the
[ ]! " !# !$!%
! ! " ## $ $
! ! %#
!" # $ %= + +& '( )+$ %+ & '( )!
[ ]! " !# !$%
! ! " ## $ $
!" # $ %= + +& '( )
! ! !!! !
! ! ! !!! ! !
= + +
assignment of most proton and carbon resonances for tunaferricytochrome c . This experiment has found wide-spread use in the identification of 1H and 13C resonancesoriginating from protonated carbon atoms in paramag-netic heme centers [54, 55, 56]. However, resonances notresolved from the paramagnetic envelope are often diffi-cult to assign, even with the aid of the HMQC experiment[57, 58]
Biosynthetic preparation of 13C-labeled heme
A biosynthetic strategy that takes advantage of develop-ments in recombinant DNA methodology and knowledgeof the heme biosynthesis pathway has been developed toprepare isotopically enriched heme . The first com-mitted precursor in the biosynthetic pathway of heme is$-aminolevulinic acid (ALA) [60, 61]. It can be seen fromthe biosynthetic pathway schematically shown in Fig. 4that all atoms in the heme molecule are derived fromALA. Consequently, it should be possible to add isotopi-cally enriched ALA to a growing bacterial culture in orderto enhance heme biosynthesis and therefore obtain iso-topically enriched heme [62, 63]. The problem with this
approach has been that when free protoporphyrin IX or freeheme accumulate in the bacterial cell, intermediates in thebiosynthetic pathway of heme such as coproporphyrino-gen III and uroporphyrinogen III are excreted from the cellbefore they are converted into protoheme IX [62, 63], there-fore causing isotopic dilution of the labeled precursor.
The problems caused by accumulation of free hemehave been solved  by coupling the ability to controlthe biosynthetic pathway of heme with the bacterial over-expression of rat liver outer mitochondrial membrane cy-tochrome b5 (OM cyt b5), a heme binding protein . Im-portant in the success of this biosynthetic approach are theproperties embedded in the expression system (pET 11a). The pET 11a plasmid maintains the OM cyt b5 undercontrol of strong bacteriophage T7 transcription and trans-lation signals . To initiate protein expression, the plas-mid harboring the OM cyt b5 gene is transferred into ahost containing a chromosomal copy of the T7 RNA poly-merase gene. The host, in this case the bacterial strainBL21(DE3), is a lysogen of the bacteriophage CDE3, whichcontains the T7 RNA polymerase gene under control ofthe inducible lac UV5 promoter. T7 RNA polymerase issignificantly more active than E. coli RNA polymerase.Consequently, once the transcription of the target gene(OM cyt b5) has been induced the resources of the cell areused to aggressively transcribe the OM cyt b5 gene locateddownstream from the T7 RNA polymerase promoter. When
Fig. 4 Heme biosynthesis pathway; highlighted atoms are 13C-la-beled
this highly efficient expression of OM cyt b5 is coupled tothe enhanced biosynthesis of heme, which is broughtabout by the addition of exogenous labeled ALA, the fol-lowing advantages are obtained:
(a) E. coli cells are grown in the absence of labeled ALAuntil a critical mass of bacteria is obtained .
(b) When the overexpression of OM cyt b5 is induced withsimultaneous addition of a suitably labeled ALA, la-beled heme is rapidly produced and subsequently se-questered by apo-OM cyt b5. The rates of heme re-lease from OM cyt b5 are much slower than those forheme release from microsomal cytochromes b5 andother heme proteins [66, 67, 68]. Consequently, theincorporation of newly synthesized heme into apo-OM cyt b5 avoids the accumulation of free heme, there-by preventing the undesirable isotopic scrambling.
(c) Purification of the labeled heme is straightforwardsince it is co-purified with OM cyt b5 in two chroma-tographic steps.
(d) Because the heme in OM cyt b5 is not covalently at-tached to the polypeptide, the macrocycle can be eas-ily extracted from the protein and used to reconstituteother heme proteins with removable hemes [69, 70].
The fact that labeled heme is synthesized in E. coli ac-cording to the pathway summarized in Fig. 4 means that ajudicious choice of labeled precursor (ALA) must be madein order to facilitate the assignment of the heme resonan-ces of interest. For example, when [1,2-13C]-$-amino-levulinic acid ([1,2-13C]-ALA) is used as a heme precur-sor, heme labeled at the four methyl, two vinyl ", twoheme propionate ", and two carbonyl carbons is obtained[59, 71] (Fig. 5A). In a similar manner, heme labeled at allfour meso and selected pyrrole ! carbons can be obtainedby utilizing [5-13C]-ALA as a heme precursor (Fig. 5B).
13C-labeling schemes that have been utilized in the studyof heme proteins, together with their corresponding iso-topically marked ALA precursors, are summarized in Fig. 5[59, 69, 70, 71, 72, 73, 74]. The usefulness of the bio-synthetic methods described above depends on the avail-ability of labeled ALA precursors, such as those shown inFig. 5, in order to facilitate the preparation of labeledhemes. Although a few singly labeled ALAs are commer-cially available, several of the doubly and singly labeledALAs of Fig. 5 are not. This problem has been somewhatcircumvented by the development and description of sim-ple synthetic routes for the preparation of the 13C-labeledALAs shown in Fig. 5. These synthetic methods utilizerelatively inexpensive and readily available 13C-labeledstarting materials [75, 76].
In a related approach, the heme propionate carbonylcarbons of heme A in cytochrome c oxidase from Para-coccus denitrificans were labeled with 13C for subsequentFTIR difference spectroscopic studies . This was ac-complished by deleting the hemA gene of the P. denitrifi-cans strain PD1222 that codes for 5-aminolevulinate syn-thase, which is the enzyme that catalyzes the condensationof glycine and succinyl-coenzyme A to form $-amino-levulinic acid. Since P. denitrificans possesses only onegene locus for ALA synthase (HemA), deletion of thisgene results in heme auxotrophy . Supplementation ofthe growth medium with ALA restored normal growthand when [1-13C]-ALA was added the carbonyl carbonsof heme A in cytochrome c oxidase were labeled withhigh efficiency .
Resonance assignment strategies that capitalize on the availability of 13C-labeled heme
The assignments of resonances originating from paramag-netic heme active sites are typically carried out with theaid of one- and two-dimensional 1H NMR spectroscopicexperiments . Hence, assignments are carried out withexperiments that are based on 1H–1H scalar correlations
Fig. 5 13C-Labeling patterns obtained when protoporphyrin IX isbiosynthesized from [1,2-13C]-ALA (A), [5-13C]-ALA (B), [3-13C]-ALA (C), [4-13C]-ALA (D) and [3,4-13C]-ALA (E). ! positionslabeled with 13C
(COSY), heteronuclear scalar correlations (HMQC andHSQC), and homonuclear dipolar correlations, in muchthe same way in which assignments are obtained for dia-magnetic molecules. The most important distinction isthat rapid relaxation induced by the unpaired electron(s)has the effect of lowering the intensities of cross peaksand compromising the effectiveness of pulse sequencesthat incorporate several delays . For instance, thedeleterious impact that short T2 values have on the de-tectability of COSY cross peaks has been discussed above.Despite these difficulties, through careful tailoring of pa-rameters to account for the fast relaxation imparted to thesignals by the unpaired electron(s), 1H NMR spectroscopyhas been successfully used to provide a wealth of infor-mation about the physical, chemical, and dynamic proper-ties of heme active sites in heme proteins and heme-con-taining enzymes [12, 16, 29, 41, 42, 43]. However, the as-signment of heme resonances not resolved from the enve-lope of diamagnetic resonances in moderately large hemeproteins, or in heme proteins that exist as a mixture of twoheme orientational isomers, or in more complex mixturesinvolving heme isomerism and more than one heme seat-ing, can still be problematic. As will be discussed below,these problems can be overcome, or at least attenuated byemploying heme proteins reconstituted with 13C-labeledheme to carry out the assignments.
13C NMR spectroscopy has been recently utilized toobtain the assignments of resonances originating fromheme substituent groups in the paramagnetic, cyanide-in-hibited, ferric state of the enzyme heme oxygenase fromPseudomonas aeruginosa . The assignments werecarried out with the aid of labeled heme obtained from[1,2-13C]-ALA and [5-13C]-ALA (Figs. 5A and B, respec-tively). The sample reconstituted with heme labeled as inFig. 5A allowed the efficient identification of all methylcarbon resonances, which are located between –10 and–65 ppm (see Fig. 6). These resonances can be readily at-tributed to heme methyl groups because they display thetypical 1JCH(140 Hz quartets. Note that labeling only theheme active site and not the polypeptide permits the ready
identification of methyl 1H signals in the HMQC spec-trum, including those that would normally be obscured bythe diamagnetic signals, approximately 4 and 8 ppm in the1H dimension of the spectrum of Fig. 6A. The eight crosspeaks originating from heme methyl resonances, insteadof the expected four from each of the four methyl groupsin heme, stem from the coexistence of two heme orienta-tional isomers (see Fig. 1). The labeling scheme of Fig. 5Aalso permits the straightforward identification of resonan-ces originating from heme vinyl " and heme propionate "groups. These are readily discernable, because vinyl " car-bons display a 1JCH triplet (Fig. 6B), whereas propionate "carbons, which are located next to the 13C-labeled carbon-yls, exhibit triplets (1JCH(140 Hz) of doublets (1JCC(55 Hz).
The assignments of heme resonances are typically ob-tained with the aid of NOESY experiments [12, 29]. Thelabeling pattern obtained from [5-13C]-ALA provides aunique entry point to interpret the NOESY map. This en-try point is provided by the fact that one of the meso car-bons (all four are labeled) is unique in that it is not bondedto a 13C-labeled pyrrole ! carbon, and therefore producesa 1JCH doublet. By comparison, the resonances arisingfrom meso carbons adjacent to 13C-labeled pyrrole ! car-bons consist of AMX quartets, that is, a 1JCH doublet fur-ther split by a 1JCC coupling. This situation is clearly seenin the spectrum of OM cytochrome b5 reconstituted withheme labeled as in Fig. 5B. This protein exists in solutionas an equimolar mixture of two heme orientational iso-mers and the corresponding one-dimensional 13C NMRspectrum is shown in Fig. 7. It can be seen that the !-mesocarbons from isomers A and B (ca. 55 ppm) exhibit clear-ly defined AMX quartets in the one-dimensional 13C NMRspectrum. A similar situation is observed for meso carbon" in isomer A ((23 ppm) and meso carbon # ((28 ppm) inisomer B. By comparison, the peak originating from mesocarbon $ in isomer A (16 ppm) is clearly a 1JCH doublet,hence, providing a unique entry point that permits thedipolar correlations and therefore assignment of heme res-onances originating from isomer A . It is interesting to
Fig. 6A,B Low (A) and high(B) frequency (13C) portions of the HMQC spectrum ofcyanide-inhibited heme oxyge-nase from Pseudomonas aeru-ginosa heme oxygenase (pa-HO-CN) reconstituted withheme derived from [1,2-13C]-ALA showing both contourplot and 1-D 13C spectrum.Reprinted from reference 
point out that within each AMX quartet the doublet athigher frequency is sharper than the doublet at lower fre-quency. This is believed to originate from cross correla-tion between Curie relaxation and dipole–dipole relaxation, which resembles the cross correlation between di-pole–dipole relaxation and chemical shift anisotropy re-laxation that has been utilized to increase the accessiblesize of molecules that can be studied by solution-stateNMR .
In cases where unambiguous assignments cannot beobtained with the strategy described above, it is possibleto label the heme using [3-13C]-ALA as a precursor, whichresults in the isotopic labeling of heme vinyl ! and hemepropionate ! carbons (Fig. 5C). Thus, the three labelingschemes, Figs. 5A–C, permit the relatively straightforwardidentification of the 1H and 13C resonances originatingfrom all protonated groups in the heme. This has the effectof largely facilitating the identification of heme reso-nances located under the intense envelope of diamagneticresonances, thus making the interpretation of dipolar cor-relations significantly less ambiguous.
In diamagnetic molecules the assignment of quaternarycarbons is ordinarily obtained from the heteronuclearmultiple bond correlation (HMBC) experiment . Inparamagnetic molecules, however, the relatively long de-lays of the HMBC experiment (2JCH) are at odds with fastrelaxation (T2
–1>2JCH), and this is typically manifested inthe absence of long-range correlations. The relativelylarger values of 1JCC make double quantum coherence ex-periments (13C–13C) attractive for the assignment of qua-ternary carbons in paramagnetic heme centers, provided
Fig. 7 A portion of the HMQC spectrum obtained with a sampleof OM cytochrome b5 containing heme biosynthesized from [5-13C]-ALA. The labeled carbon atoms in both heme isomers are high-lighted by !. The 1-D 13C NMR spectrum, which was acquiredwithout 1H decoupling, is included to illustrate the asymmetriclinewidths within each multiplet. Adapted from reference 
Fig. 8 INADEQUATE spectrum obtained with a sample of OMcytochrome b5 containing heme derived from [5-13C]-ALA. Thelabeled carbons in both heme isomers are highlighted by !. TheIUPAC nomenclature was used for numbering and a preceding Aor B was added to distinguish the heme isomers which result froma 180° rotation around the 5–15 meso carbon axis. Adapted fromreference 
that heme labeled at adjacent carbon atoms is available.Cytochrome b5 reconstituted with heme labeled as in Figs.5B and E was used to test the applicability of the 13C–13Cdouble quantum coherence (INADEQUATE)  experi-ment for the detection and assignment of quaternary car-bons in paramagnetic heme proteins . The INADE-QUATE spectrum in Fig. 8 makes it evident that the as-signment of several pyrrole C! carbons can be obtainedfrom previously assigned meso carbons (see above) via13C–13C double quantum correlations. Moreover, a judi-cious choice of labeling scheme can render a wealth of in-formation regarding core porphyrin carbons with a mini-mum number of experiments. For instance, all pyrrole C"carbons and several pyrrole C! carbons have been as-signed with the aid of 13C–13C double quantum coherencecorrelations departing from the assignments correspond-ing to the highlighted protonated carbons in each pyrrolering of the macrocycle labeled as in Fig. 5E .
In keeping with the advantages furnished by the rela-tively large values of 1JCH and 1JCC a new NMR experi-ment was devised which selectively detects 1H in 1Hn–13C–13C fragments ; these fragments were introducedbiosynthetically into heme by using [1,2-13C]-ALA as aheme precursor. The new experiment, double-resonanceisotope-edited (DRIED), combines the well-known INEPTsequence  to transfer 1H magnetization to 13C nuclei,followed by INADEQUATE to generate 13C–13C doublequantum coherence between directly bound 13C atoms, and finally reverse INEPT to detect the results throughthe sensitive 1H nuclei. By combining the INEPT andINADEQUATE building blocks the DRIED experimenttakes advantage of the relatively short interpulse delayspermissible by 1JCH and 1JCC,thus avoiding the long inter-pulse delays that in HMBC compromise the detection ofrapidly relaxing nuclei. The DRIED experiment allowed
exclusive observation of the diastereotopic heme propi-onate " protons in cytochrome b5, Fig. 9, where the 1H–13C–13C-edited spectrum (top trace) is compared to thetraditional one-pulse experiment (bottom trace).
13C NMR chemical shifts of quaternary carbons and heme electronic structure
The observation and assignment of core porphyrin car-bons is more challenging than that of protonated hemecarbons because of their closer proximity to the hemeiron, which makes these carbons more strongly affectedby the unpaired electron. However, as will be discussedbelow, there is a straightforward correlation between thechemical shifts of these core carbons and the coordinationstate and electronic structure of the heme, which warrantsthe effort needed to observe and assign these resonances.Recent studies conducted with low-spin ferriheme com-plexes have contributed to solidifying the idea that chem-ical shifts originating from porphyrin core carbons, C!,C", and Cmeso (Cm) greatly facilitate the assessment ofelectronic structure [83, 84, 85, 86, 87]. Furthermore, cal-culations utilizing density functional theory methods haverecently been used to successfully predict the chemicalshift of core carbon resonances from hemes exhibitingdifferent oxidation and spin states . As an example of the usefulness of observing core carbon resonances it is illustrative to consider the two electronic configura-tions attained by low-spin ferrihemes: the more common(dxy)2(dxz,dyz)3 electronic configuration is typically abbre-viated d& because the unpaired electron resides in one ofthe d& orbitals, and the less common (dxz,dyz)4(dxy)1 config-uration is commonly abbreviated (dxy)1 because the un-paired electron resides in the dxy orbital (see Fig. 2) [15,
Fig. 9 Top DRIED (1H–13C–13C)spectrum obtained with a sample ofOM cytochrome b5-containing hemederived from [1,2-13C]-ALA. Bottomtraditional one pulse experiment.Adapted from reference 
89, 90]. Spin delocalization in ferrihemes with the com-mon S=1/2, d& electronic structure is mainly into the por-phyrin 3e(&) orbital shown schematically in Fig. 10. It canbe seen from the relative sizes of the circles in thisschematic representation that the C" carbons possess rela-tively large electron density, the C! carbons possess rela-tively small electron density, and the Cm carbons havezero electron density. Thus, the corresponding shifts arelocated at about 200 ppm for C" carbons, approximately100 ppm for C! carbons, and about 70 ppm for Cm carbons(Fig. 10a) [23, 72]. By comparison spin delocalization inferrihemes with the less common S=1/2, (dxy)1 electronicconfiguration is mainly into the 3a2u(&) orbital , whichexhibits large electron density at the Cm carbons and smallelectron density at the C! and C" carbons (Fig. 10). Con-
sequently, ferrihemes possessing the (dxy)1 electron con-figuration display large downfield Cm shifts ((1,000 ppm),relatively large upfield C! shifts ((300 ppm), and small C"shifts ((20–70 ppm) (Fig. 10b). Since the 3a2u(&) orbitalhas a very small spin density at the C! position, the rela-tively large upfield C! shifts are a consequence of spin po-larization from the Cm carbons . It should be pointedout that FeIII-porphyrinates with the S=1/2, (dxy)1 electronconfiguration are significantly ruffled  so that the nodalplanes of the pz orbitals are no longer in the xy plane;hence, the projections of these pz orbitals have the propersymmetry to interact with the dxy orbital, as has beenshown schematically in Fig. 10 .
In the case of ferric porphyrinates exhibiting the high-spin, S=5/2 state, half occupation of the dx
2 orbital re-sults in large spin delocalization to all core carbons via Dbonds [41, 88, 92, 93], which results in very large down-field shifted chemical shifts for C! ((1,100 ppm) and C"((1,300 ppm) carbons (Fig. 10c). The meso carbons shiftsare still downfield and large ((450 ppm) [83, 87]; how-ever, these shifts are related to & spin delocalization fromone of the d& orbitals into the 4e(&*) orbital, which haslarge electron density at the meso positions (Fig. 10) [15,41, 88, 94]. The heme active site in proteins exhibiting theferric high-spin, S=5/2 state is typically hexacoordinated,with a proximal histidine and a distal water ligand. Exam-ples of this coordination state are met-hemoglobin andmet-myoglobin from horse heart or sperm whale . Al-ternatively, the ferric high-spin, S=5/2 state in heme pro-teins can also be pentacoordinated, where only a protein
Fig. 10a–e Chemical shifts characteristic of core C!, C", and Cmcarbons. a FeIII-porphyrinates with the S=1/2, d& electron configu-ration, b FeIII-porphyrinates with the S=1/2, (dxy)1 electron config-uration, c FeIII porphyrinates with the S=5/2 electron configuration,d FeIII-porphyrinates with the S=3/2, (dxy)2(dxz,dyz)2(dz
2)1 electronconfiguration, and e FeII-porphyrinates with the S=2 electron con-figuration. The C! and C" resonances of deoxymyoglobin (S=2)have been reported to occur near 850 ppm ; however, densityfunctional theory calculations predict the C! resonance between1,040 and 1,400 ppm. Right schematic representation (adaptedfrom reference ) of the 3a2u(&), 3e(&), and 4e(&*) porphyrin or-bitals. The relative size of the circles at each atom are proportionalto the calculated electron density. The possible interactions be-tween the dxy orbital and the porphyrin nitrogens of a ruffled por-phyrin which allow spin delocalization into the 3a2u(&) orbital areshown schematically next to this orbital
provided ligand, typically histidine, is axially coordinat-ed. Examples of these proteins are the met-myoglobinfrom red muscle of the shark G. japonicus  and themonomeric met-myoglobin from the buccal muscle of thesea hare Aplysia limacina . These two coordinationstates of high-spin ferric hemes display very differentmeso-H resonances; the hexacoordinated myoglobins andhemoglobins display meso-H resonances near 40 ppm,whereas the pentacoordinated myoglobins exhibit meso-Hresonances at approximately –20 ppm [29, 95, 96]. How-ever, severe line broadening of these resonances can pre-vent the observation of meso-H resonances in high-spinheme proteins. A recent study with model ferrihemes hasdemonstrated that Cm resonances from pentacoordinatedhigh-spin complexes occur between 500 and 700 ppm,while Cm resonances from the hexacoordinated high-spincomplexes are found between 0 and 80 ppm . It wastherefore suggested that the Cm resonances from enzymesreconstituted with isotopically labeled heme might consti-tute a good tool for the straightforward determination of co-ordination structure in ferric high-spin heme proteins .
Ferrihemes possessing the S=/2, (dxy)2(dxz, dyz)2(dz2)1
spin state have been shown to exhibit complicated distor-tions from planarity [85, 98, 99], which suggests theymight exist in solution as a complex mixture of intercon-verting conformers with similar energies. Nonplanarhexacoordinated ferrihemes possessing a pure S=3/2 spinstate also exhibit a unique pattern of 13C NMR shifts with very large downfield " shifts ((1,000 ppm), largedownfield C! shifts ((600 ppm), and large upfield Cmshifts ((–300 ppm) (Fig. 10d). The large downfield shiftsof the C! and C" carbons are consistent with the presenceof unpaired electron density in each of the dxz and dyz or-bitals, which are delocalized into the 3e(&) porphyrin or-bital. Since this porphyrin orbital has zero electron den-sity at the meso carbons, the large upfield Cm shift stemsfrom spin polarization from the neighboring C! carbon.Cytochromes c' are a unique class of heme proteins foundin photosynthetic, denitrifying and nitrogen-fixing bacte-ria, which exhibit unusual EPR spectra that have been as-cribed to a quantum mechanical admixture of high-spin(S=5/2) and intermediate-spin (S=3/2) states . Therelative contribution of S=3/2 to the quantum mechani-cally admixed S=3/2, S=5/2 spin state can vary and this
has a profound effect on the 1H  and 13C NMR spec-tra  of ferrihemes possessing the quantum mechanicalspin admixed, S=5/2, S=3/2, spin state. Thus, as the S=3/2contribution increases, the C! and C" resonances shift up-field from approximately 1,200 ppm for a pure S=5/2 stateto about 600 ppm (C") and about 400 ppm (C!) for ap-proximately 50% S=3/2 contribution. Interestingly, the Cmresonances are almost insensitive to the contribution of S=3/2 to the admixed S=5/2, S= 3/2 spin system  (Fig. 11).
The pronounced differences between the 13C NMR spec-tra of ferrihemes with S=1/2, d& and S=1/2, (dxy)1 electronicstructure were used to study ferric hemes aimed at model-ing the electronic structure of the ferric hydroperoxide(FeIII–OOH) . This oxidizing species in heme oxyge-nase is known to hydroxylate the heme to produce meso-hydroxyheme, the first stable intermediate in the pathwayof heme catabolism . The 13C-ENDOR spectrum ofFe(III)–meso-13C-tetraphenylporphyrin, axially coordinat-ed by a methoxide and a tert-butyl-hydroperoxide ligand[meso-13C-TPPFe(OCH3)(OOtBu)]–, showed that at verylow temperatures (8 K) the unpaired electron resides in ad& orbital. On the other hand, the variable-temperature 13CNMR spectra of [meso-13C-TPPFe(OCH3)(OOtBu)]– sug-gested a situation in which a heme with a d& electron con-figuration and planar porphyrinate ring is in equilibriumwith a ruffled ferric porphyrinate possessing a (dxy)1 elec-tronic configuration. These findings led to the hypothesisthat at ambient temperatures ferrihemes axially coordi-nated by a peroxide ligand are likely to have the (dxy)1
electronic configuration . Significant about this elec-tronic configuration is the fact that ferric porphyrinatespossessing an unpaired electron in the dxy orbital are sig-nificantly ruffled and place a relatively large amount ofspin and electron density at the porphyrin meso carbons[15, 89, 91, 104] (see Fig. 10). Therefore, these character-istic properties of (dxy)1 ferric porphyrinates have been hy-pothesized to aid the attack of the terminal oxygen of theFeIII–OOH intermediate in heme oxygenase on the mesocarbon , thus leading to the formation of meso-hy-droxyheme .
In an attempt to probe the electronic structure of thehydroperoxide complex of heme oxygenase (FeIII–OOH)at ambient temperatures, the hydroxide complex of thisenzyme (FeIII–OH) was studied by 13C NMR spectros-copy. The 13C NMR spectra of the FeIII–OH complex ofheme oxygenase reconstituted with heme labeled at thecore porphyrin carbons are shown in Fig. 12A and B. Theresonances boxed in red correspond to a population pos-sessing the pure S=3/2 spin state, as can be seen from theunique pattern of resonances in which the C" carbons res-onate near 1,000 ppm, the C! carbons near 700 ppm, andthe Cm carbons near –200 ppm. The presence of a popula-tion with the S=1/2, (dxy)1 spin state is apparent from theresonances boxed in black, with the characteristic Cm res-onances near 1,300 ppm and C! resonances near –400ppm. The most abundant population was attributed to anS=1/2, S=3/2 spin state crossover that is characterized byC! and C" resonances between 300 and 600 ppm and Cmresonances near zero ppm, which has been recently ob-
Fig. 11 Correlation of the 13Cchemical shifts of C!, C", andCm carbons against the 1Hchemical shifts of the pyrrolehydrogens of several mono-im-idazole ligated complexes of(meso-tetramesitylporphyri-nato)Fe(III) exhibiting differ-ent contributions of the S=3/2state to the quantum mechani-cally admixed S=5/2, S=3/2spin state. Adapted from refer-ence 
served in a model ferriheme complex . The presenceof these unusual spin states, which are typically accompa-nied by large nonplanar deformations of the macrocycle,were interpreted to suggest that the water molecules in thedistal pocket of HO lower the ligand field strength of thecoordinated hydroxide by virtue of hydrogen bonding. Thedecrease in ligand field strength of the hydroxide wouldincrease the ligand field strength of the porphyrin, therebyinducing nonplanar deformations of the porphyring ring.Hence, if the ligand field strength of the OOH– ligand inheme oxygenase is modulated in a similar manner, thenonplanar heme and unpaired electron density at the mesocarbons (manifested by large Cm shifts) would be expect-ed to aid in the attack of the porphyrin by the coordinatedperoxide ligand .
13C NMR shifts, axial ligands, and axial ligand geometry
The electron configuration of the ferric iron in heme, d5,typically requires two strong-field ligands to stabilize thelow-spin (S=1/2) state. Thus, ferric heme proteins exhibit-ing a low-spin state typically employ the histidine imidaz-ole, the methionine thioether, or the cysteine thiolate asthe axial ligands. Many of the cytochromes c and cyto-chrome b562 from E. coli exhibit a histidine and a methio-nine as axial ligands , whereas cytochromes b5, mi-crosomal  or mitochondrial , and the four hemesof cytochrome c3  possess a bishistidine-coordinatedheme. By comparison, the globins, including the inactive,FeIII (met) forms of hemoglobin, myoglobin , andmonomeric hemoglobins , as well as heme oxyge-nase [10, 11], the NO-carrying nitrophorins , and theperoxidases  have only one histidine axial ligand.Most of the molecules in the last group exhibit a watermolecule (weak-field ligand) coordinated at the sixth po-sition and are thus in the S=5/2 high-spin state. NMRspectroscopic studies of the paramagnetic active site ofthese high-spin proteins are typically conducted in the
Fig. 12A,B 13C NMR spectra (37°C) of the hydroxide complex ofpa-HO (pH 10.3) reconstituted with heme labeled at the C! and Cm(A) and C! and C" carbons (B). Peaks corresponding to the popu-lation exhibiting the S=1/2, 3/2 spin state crossover are highlightedby blue boxes, peaks corresponding to the population with theS=3/2 spin state are highlighted by red boxes, and those corre-sponding to the population with the S=1/2, (dxy)1 electron configu-ration are highlighted by black boxes. This figure was reproducedfrom reference 
presence of an exogenous strong-field ligand that binds(or replaces the aqua ligand) at the sixth position, there-fore converting the heme protein to its low-spin state. TheS=1/2, d& spin state is most commonly attained and thediscussion below pertains only to this electronic configu-ration. The exogenous strong-field ligands are typicallycyanide, imidazoles, pyridines, or azide, although cyanideis sometimes preferred because its cylindrical symmetrydoes not introduce a perturbation of the symmetry of theporphyrin & molecular orbitals.
Early work conducted with met-myoglobin-cyanide re-vealed that the heme methyl groups exhibit significant C2symmetry in that the methyl group resonances appear tobe grouped pairwise in the proton NMR spectrum ;two methyl resonances exhibit large hyperfine shifts ((20ppm) and the other two display significantly smallershifts, resonating at approximately 8 ppm. It is nowadaysclear that the orientation of planar axial ligands exerts alarge influence on the spread of the methyl resonancesoriginating from low-spin ferric heme proteins, as well asin low-spin porphyrinates [16, 111, 112]. The fundamen-tal property that brings about this spread in the chemicalshift of heme substituents is the interaction of the proxi-mal histidine ligand with the iron-centered e-symmetry dorbitals, which in turn, individually interact with por-phyrin 3e(&) orbitals. These interactions, which have been
presented in pictorial form [15, 89, 111], can be readilyunderstood by considering the degenerate pair of porphine3e(&) molecular orbitals (Fig. 13a), which interact withthe dxz and dyz orbitals of low-spin Fe(III). The histidineimidazole & orbitals lie perpendicular to the plane of theimidazole ring, thus these orbitals interact with the irondxz and dyz orbitals and the porphyrin 3e(&) orbitals. Thisinteraction, which can be thought of as being modulatedby the angle the imidazole plane makes with the axisalong the nitrogen atoms of pyrrole rings II and IV, liftsthe degeneracy of the 3e(&) orbitals, alters their relativeenergy difference, and largely determines the degree ofuneven distribution of electron spin density among thefour pyrrole rings in the porphyrin macrocycle (see Fig.13b) [111, 113]. More recently the concept of counter ro-tation of the g or ) tensor with rotation of axial ligandplanes away from the N–Fe–N axes in the heme has beenused to predict the orientation of the in-plane magneticaxis utilizing 13C NMR [25, 114, 115, 116, 117, 118] and1H NMR [119, 120] spectroscopic data. These two ap-proaches are summarized below.
It has been mentioned above that the contact shifts of13C nuclei bound to pyrrole " carbons, that is, the hememethyl and heme propionate ! carbons, are dominated bypolarization of the carbon s electrons as a consequence ofunpaired electron density (%&
C'C) on the & orbital of the ad-jacent pyrrole " carbon (see Eqs. 4 and 7) . Hence, anapproach aimed at determining the geometry of the axialligands has been developed based on the premise that thehyperfine shifts of 13C nuclei bound to pyrrole " carbonsare well suited for this purpose because these shifts are agood approximation of the corresponding contact shift. This assumption is based on the fact that the dipo-lar contribution to the isotropic shift is small compared tothe contact contribution , and can therefore be ig-nored. By comparison, in the case of 1H nuclei, the dipo-lar and contact shifts are of approximately equal magni-tudes [17, 25, 107, 114]; thus, $dip cannot be ignored.Since the hyperfine shift is the sum of several contribu-tions, including the diamagnetic shift (see Eqs. 1, 2, and3), it is possible to obtain the 13C contact shift if the dia-magnetic contribution is known; the value of $dia is typi-cally obtained from the same protein in its reduced, typi-cally low-spin S=0, diamagnetic form .
The contact shifts of 13C nuclei bound to pyrrole " car-bons reflect the unpaired spin distribution in the two de-generate e(&) molecular orbitals in an idealized porphinewith D4h symmetry. If a rhombic perturbation  is ap-plied, which might be thought of as changing the orienta-tion of the axial ligand planes with respect to the heme, itmixes the orbitals and lifts the degeneracy of the e(&) mo-lecular orbitals. The contact shifts of the heme substitu-ents attached to the pyrrole " carbons obtained from thismodel can be described by the following parameters :(1) the constant QC
C'C, which represents the degree of s electron polarization induced by a & electron on an ad-jacent carbon, (2) molecular orbital coefficients c1 and c5(in the nomenclature of Longuet–Higgins ), whichappear to show little variation among different proteins
Fig. 13 a Electron density and nodal properties of porphyrin 3e(&)orbitals , which interact with the dxz and dyz orbitals of low-spin Fe(III), respectively. b Spin density for two angles of theproximal histidine plane (represented by a thick black line), E=0°and E=45°, with respect to the axis along the nitrogen atoms ofpyrrole rings II and IV. The size of the circles is proportional to theelectron density at each position. Adapted from references and 
[27, 114, 116, 117, 123], (3) the orbital mixing parameter*, and (4) the energy separation of the two e(&) orbitals,FE, which is well described by a simple Boltzmann distri-bution between the two perturbed orbitals. Typically, a setof $con values from a heme is fitted with only three pa-rameters, namely QC
C'C, *, and FE, while fixing the c1 andc5 coefficients with the most accurate values available. The orientation of the rhombic perturbation (MO inFig. 14), which is equivalent to the mixing parameter *, isrelated to the orientation of the largest component of thesusceptibility tensor )y by rotation in the opposite sense(counter rotation), relative to the axis along the nitrogenatoms of pyrrole rings II and IV [116, 123]. The orienta-tion of the rhombic perturbation (MO) has been shown to correlate well with the average of the normals to theimidazole planes of several bishistidine-ligated ferricyto-chromes c3 [107, 114, 117], cytochrome cG  and cyto-chrome c6 , thus allowing the determination of theiraxial ligand geometries.
This analysis of 13C NMR data, which was developedusing data sets from cytochrome c, has been extended tob hemes, such as those found in cytochrome b5 [115, 116],myoglobin , and the peroxidases . In the bhemes the vinyl carbons experience shifts caused by delo-calization of unpaired electron density from the heme &molecular orbitals, in addition to the aforementioned po-larization of the carbon s electrons by unpaired electrondensity in the & orbital of the neighboring pyrrole " car-bon. The $con corresponding to the vinyl groups was cor-rected by a constant derived from theoretical treatment and from an empirical correction factor [116, 123].Results obtained with cytochrome b5 were in reasonableagreement with the average of the orientations of the nor-mals to the His-imidazoles observed in the crystal struc-
ture  of this protein. This was interpreted as an indi-cation that the two His ligands in cytochrome b5 have ap-proximately equal influence on the electronic structureand that together they dominate the rhombic perturbation.This result is in contrast to previous conclusions derivedfrom a 1H NMR spectroscopic study which suggested thatone of the His ligands (His-39) dominates the magneticproperties of cytochrome b5 . It has been pointed outthat the origin of the significant differences in the 1Hshifts originating from the "-CH2 groups of His-39 andHis-63, which were interpreted as evidence of the domi-nant influence of His-39 , might originate from con-formational differences . Support for this hypothesishas been postulated  to come from the fact that the13C shifts of the "-CH2 groups in His-39 and His-63 canbe seen close to each other (ca. 20 ppm) in the HMQCspectrum of Fig. 2 reported by Lee et al. .
The effect of axial ligand nodal plane orientation onthe contact and dipolar 1H shifts of low-spin ferrihemeshas been calculated as a function of the angle of the axialligand plane with respect to the axis along the nitrogenatoms on pyrrole rings II and IV . Estimates of the$con contribution to the isotropic shift were obtained fromHückel methods. Calculations of g anisotropy assumingcounter rotation of the g tensor  were used to esti-mate the contribution of $dip. It was found that for systemshaving one axial ligand, or two axial ligands in parallelplanes, the $con and $dip contributions to the isotropic shiftare comparable at the meso-hydrogen position, whereasthe contact contribution dominates the isotropic shifts ofheme methyl groups. The predicted isotropic shifts wereplotted as a function of axial ligand nodal plane orienta-tion for b- and c-type hemes (Fig. 15) . These plots,which represent a straightforward visual aid to estimatethe orientation of the axial ligands, show very good agree-ment in the order of the predicted shifts, and reasonableagreement in the magnitude of the shifts. This approachhas been made more quantitative with the finding of equa-tions that describe the relationship between axial ligandgeometry and 1H shifts [127, 128] for c and b hemes and13C  shifts for c hemes.
The plot shown in Fig. 15 summarizes calculations inthe case of b hemes axially coordinated by proximal histi-dine and distal cyanide ligands, or by two histidine lig-ands parallel to one another . The plot permits thestraightforward correlation of the observed shifts for thefour heme methyl groups (1Me, 3Me, 5Me, and 8Me) as afunction of the angle E formed between the axial ligandplane and the molecular x axis. By using the informationin this plot and the NMR resonance assignments obtainedfor the heme methyl groups [58, 129], it was possible tocorrectly predict an angle E of 125° for the proximal im-idazole plane of human heme oxygenase  before theX-ray crystal structure was obtained . Thus, the calcu-lations summarized in the plot of Fig. 15 provide astraightforward predictive framework to study heme-con-taining proteins and enzymes even if their structure is notavailable. More recently a study has been published thatcorrelates the order of heme methyl resonances in the
Fig. 14 Top schematic repre-sentation of the observed andcalculated intensities for theFermi contact shifts, $con (ob-served) and $con (calculated),respectively, for the 13C nucleibound to pyrrole " carbons inthe A isomer of bovine ferri-cytochrome b5. Bottom MOand )y represent the orienta-tions of the rhombic perturba-tion of the molecular orbitalsand the magnetic y axis, re-spectively. Note that the mag-netic axis is rotated in the op-posite sense to the rhombicperturbation with respect to theiron nitrogen bonds. This fig-ure was reproduced from refer-ence 
high-spin form of several ferriheme proteins . Thereis an apparent 90° shift in the nodal plane of the orbital in-volved in spin delocalization compared to the histidine-imidazole plane. This 90° rotation has been explained interms of almost complete use of only one of the d& (dxz ordyz) metal orbitals to delocalize electron density into oneof the two 4e(&*) porphyrin orbitals .
From the discussion above it is apparent that the pre-dictive power of the calculations summarized in the plotof Fig. 15 depends on unambiguous assignments of thefour heme methyl resonances. In certain cases enzymesreconstituted with 13C-labeled hemes can be used to facil-itate the assignment process or to obtain unambiguous as-signments of methyl resonances buried under the enve-lope of polypeptide signals. This approach was applied tothe study of heme oxygenase from Pseudomonas aerugi-nosa (pa-HO). This bacterial heme oxygenase is unique inthat it oxidatively cleaves the heme at the $-meso carbon, whereas all other known heme oxygenases, mam-malian and bacterial, cleave the heme exclusively at the!-meso carbon (see  and references therein). The mag-nitude and spread of the assigned heme methyl resonancesfrom pa-HO, interpreted in the context of the plot shownin Fig. 15, indicated that the histidine imidazole plane inthis enzyme forms an angle E of approximately 35° withrespect to the molecular x axis  (see Fig. 15). Thisfinding strongly suggested that the heme in pa-HO isseated within the polypeptide in a manner that is distinctfrom that observed for all other heme oxygenases forwhich a structure is known. Furthermore, it was conclud-ed that the unique oxidative regioselectivity of pa-HO is aconsequence of the heme being rotated in-plane by ap-proximately 100° relative to the orientation (seating) ofthe heme in all !-oxidizing heme oxygenase enzymes ofknown structure because the in-plane rotation places the
$-meso carbon within the heme oxygenase fold in theplace where the !-oxidizing enzymes typically place the!-meso carbon .
The Asn19Lys/Phe117Tyr double mutant of pa-HOwas constructed to probe the hypothesis that the unusualheme seating in pa-HO is brought about by the absence ofhydrogen bonding and electrostatic contacts between theheme propionates and residues at position 19 and 117. Thus, introducing Lys-19 and Tyr-117 was expectedto restore these interactions, which are present in all !-ox-idizing heme oxygenases of known structure [10, 11]. Thehigh-frequency portion of the 1H NMR spectrum of thedouble mutant (Fig. 16) displays a large number of reso-nances; the resonances labeled with arrows and asterisks,as well as those highlighted by dotted arrows and circleswere unequivocally shown to originate from heme methylgroups. This information was obtained from the HMQCspectrum of Fig. 16, which was acquired from a sample ofmutant enzyme reconstituted with heme labeled as in Fig.5A. The presence of 15 cross peaks strongly suggestedthat the Asn19Lys/Phe117Tyr double mutant of pa-HOexists in solution as a mixture of four different molecules:two different heme seatings create a set of two and hemeorientational isomerism creates a subset of two from eachheme seating isoform . Exchange spectroscopy (EXSY)was used to demonstrate that the heme methyl peaks la-beled by arrows, which correspond to enzyme exhibitingthe heme seating characteristic of the wild type enzyme,are in dynamic exchange with a new heme seating, whichexhibits the heme methyl resonances labeled by asterisks.The chemical shifts of the heme methyl groups interpretedin the context of the plot in Fig. 15 were used to concludethat the heme in the mutant enzyme displays a dynamicequilibrium between two heme seatings (shown in Fig.17) that differ by an in-plane rotation of approximately
Fig. 15 Right right-handedcoordinate system and nomen-clature used for describing theprojection of the His-imidazoleplane onto the porphyrin ring.The x axis is aligned along thenitrogen atoms of pyrrole ringsII and IV of the heme, the yaxis is along the nitrogenatoms of pyrrole rings I and III,and the z axis is normal to theheme. Left dependence of ob-served heme methyl shifts onthe angle E formed betweenthe molecular x axis and theprojection of the imidazoleplane. Adapted from reference
100° . The unambiguous assignments of the 1H reso-nances from the heme methyl groups, especially thoseresonating under the crowded diamagnetic region (seeFig. 16) in this complicated mixture of isoforms, wasmade possible by the utilization of 13C-labeled heme.
In the discussion above it has been assumed that theorientation of the axial ligand dominates the asymmetryof electron spin delocalization. Other factors such as thenature of heme substituents (i.e., vinyl, methyl, and propi-onate), van der Waals interactions between the heme andside chains lining the heme pocket, and heme conforma-tional distortions from planarity can provide secondarymodifications of the in-plane asymmetry. A recent studypointed out that 13C NMR spectroscopy is well suited toelucidate the nature and extent of these secondary regula-tory mechanisms . These authors demonstrated thateven if the magnetic axes and anisotropies are known, theintrinsic uncertainties in the orientational parameters leadto a relatively large uncertainty in the determination of thedipolar contribution to the methyl proton isotropic shifts.By comparison, the relatively small contribution of themethyl carbon dipolar shift to the isotropic shift makes themethyl carbon contact shifts more reliable indicators ofthe unpaired electron distribution on the heme macrocycle[114, 131]. Thus, by utilizing the 13CH3 pattern of non-in-version symmetry in centro- and pseudocentro-symmetrichemes reconstituted into myoglobin, it was shown that &–
Fig. 16 HMQC spectrum of the cy-anide-inhibited Asn-19 Lys/Phe-117Tyr double mutant of heme oxyge-nase from Pseudomonas aeruginosa(pa-HO) reconstituted with heme de-rived from [1,2-13C]-ALA. Only thelow-frequency (13C) region of thespectrum, which displays the hememethyl resonances, is shown. The 1-D1H and non-decoupled 13C spectra areshown to illustrate the JCH splittings.Arrows and dashed arrows, respec-tively, represent the major and minororientational isomers exhibiting thewild type heme seating. Asterisks andopen circles, respectively, representthe major and minor orientational iso-mers exhibiting the alternative seat-ing. This figure was reproduced fromreference 
Fig. 17A,B Stereoview of the predicted wild type (A) and alterna-tive (B) heme seatings in mutant pa-HO-CN, modeled into the foldof heme oxygenase. The heme is shown in red, Asn-19 in blue, andPhe-117 in green. The wild type seating of pa-HO (A) places the$-meso carbon where it is susceptible to hydroxylation, whereas110° in-plane rotation of the heme results in the alternative seating(B), thus positioning the !-meso carbon where it can be hydrox-ylated. This figure was reproduced from reference 
& interactions between the heme and aromatic residues inclose contact perturb the in-plane asymmetry of unpairedelectron distribution. Hence, it is likely that in the quan-titative interpretation of heme methyl 13C contact shifts inthe context of axial ligand plane orientation in b hemes,the regulatory effect of &–& interactions will have to betaken into account . Furthermore, it is important toinvestigate whether these secondary modulations of in-plane asymmetry have important functional consequen-ces.
A number of studies have been reported that utilize13C-enriched carbon monoxide (CO) bound to the distalsite of ferrous heme proteins. These studies have typicallybeen aimed at understanding the nature of the distal pocketin globins and other heme proteins [46, 47, 132, 133]. Re-cently, the 57Fe chemical shift has been found to correlatewell with the Cm chemical shift of CO complexes of sev-eral Fe(II) metalloporphyrins. Consequently, the hard-to-observe 57Fe chemical shifts can be predicted from the Cmchemical shifts in carbonmonoxy complexes of Fe(II). The Cm shifts from these carbonmonoxy complexeshave also been shown to correlate with the average dis-placement of the meso carbon atoms from the plane (ruf-fling) of the macrocycle.
13C and 15N NMR spectroscopy have also been used tostudy the environment and electronic structure of low-spin ferriheme centers by observing the 13CN [134, 135]and the C15N resonance [136, 137] of bound cyanide. The15N resonance was found to be extremely sensitive to thepolarity of the distal pocket and the nature of the proximalligand, with the consequence that it is very difficult to fac-tor out the two effects. A recent report demonstrated con-vincingly that the 13CN resonance from biscyano proto-heme IX occurs far upfield, –2,516 ppm. By comparison,the 13CN resonance from the cyanide–imidazole complexof protoheme IX was found much further upfield, –3,926ppm, and that corresponding to the cyanide–imidazolate
complex was found at –3,507 ppm. These findings indi-cate that the nature of the proximal ligand in heme pro-teins can be elucidated from the chemical shift of the 13CNresonance . In fact, the ferric cyanide complexes ofmyoglobin, hemoglobin, cytochrome c, and horse radishperoxidase exhibit their corresponding 13CN resonance at–4,154, –4,074, –3,761, and –3,543 ppm, respectively(Fig. 18). The values of these resonances correlate wellwith the imidazolate character of the proximal histidine,which increases in the order of myoglobin, hemoglobin,cytochrome c, and horseradish peroxidase .
Concluding remarks and outlook
It is apparent that the analysis of heme proteins and modelheme complexes by 13C NMR spectroscopy can provideimportant information regarding the electronic and coor-dination state of paramagnetic heme proteins and modelhemes. The initial lag in the application of 13C NMR spec-troscopy to the analysis of paramagnetic heme proteins isno doubt a consequence of low sensitivity and low naturalabundance. However, revolutionary developments in meth-odology and instrumentation in the field of NMR spec-troscopy, together with the advent of recombinant DNAmethods that permit the relatively simple expression andpurification of adequate amounts of protein, have largelycontributed to the successful application of 13C NMR spec-troscopy to the study of paramagnetic heme proteins. Themore recent development of highly sensitive probes withsuperconducting frequency coils cooled below their criti-cal temperature (CryoProbes) and the availability of 13C-labeled hemes is expected to further attenuate the limita-tions imposed by the low sensitivity and low natural abun-dance of 13C nuclei, so that the observation of core por-phyrin carbons in paramagnetic heme proteins may be-come as commonplace as the current observation of pro-tonated heme carbons. Furthermore, the utilization ofCryoProbes allows one to increase the sensitivity of theexperiment without necessarily increasing the appliedmagnetic field. This is likely to have important repercus-sions in the analysis of paramagnetic shifts of relativelylarge heme proteins because the Curie spin relaxation ef-fect on T2
–1, which affects line broadening, varies as thesquare of the applied magnetic field . Finally, it is alsonoteworthy that enhanced paramagnetic relaxation can re-sult in non-detectable NOE correlations that involve pro-tons on histidine-imidazoles that are coordinated to theferric heme iron, thus leaving the structure of the hemeactive site ill defined in protein structures. Thus, theanalysis of 13C contact shifts aimed at obtaining the geom-etry of axial ligands is likely to render important comple-mentary information that permits an improvement in thestructure of the heme active site in the structures of para-magnetic heme proteins in solution [27, 138].
Acknowledgments The authors’ research reported in this manu-script was carried out with support from grants from the NationalInstitutes of Health (GM 50503) and the National Science Founda-tion (MCB-0110139).
Fig. 18a–d 13C NMR spectra of ferric heme proteins coordinatedby 13CN. a Sperm whale myoglobin in 0.1 M phosphate buffer,pH=7.0. b Human hemoglobin in 0.1 M Tris-HCl buffer, pH=7.0.c Horse heart cytochrome c in 0.1 M phosphate buffer, pH=7.0.d Horseradish peroxidase in 0.1 M phosphate buffer, pH=7.0. Thisfigure was reproduced from reference 
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