BIOCH 590: Biomacromolecules 89%'91%:( Spring 2010 • 0&.1#(3'1+#13$%.( – – – – – !"#$%&'()&*+%,#(-%./+&+#%( !"#$%&'(.31+;(%+%'*<($%9%$.;(#=%71#&$(.=1>( ?='/"*=@A/+4(&+4(6='/"*=(.3&#%(#/"3$1+*.( -%$&B&,/+(,7%.( C?@!)-;(3"$.%.;(DE(!)-( FE(&+4(7"$,@417%+.1/+&$(!)-(%B3%'17%+6.( • 533$1#&,/+(6/(A1/7/$%#"$%.( – – – – – – 0&.1#(2'1+#13$%.(&+4(533$1#&,/+.(6/(01/7/$%#"$%.( Key References: Tinoco Chapter 10; van Holde Chapter 12; G1*=@'%./$",/+(.6'"#6"'%(4%6%'71+&,/+( E<+&71#.H('%$&B&,/+(&+&$<.1.( ?'&+.1%+6(1+6%'&#,/+.H(%B#16&,/+(6'&+.I%';(.31+@$&A%$1+*( J/$14(.6&6%H(7%7A'&+%(3'/6%1+.( K+@#%$$(!)-( K7&*1+*H()-K( Copyright: Jianhan Chen L#M(N1&+=&+(O=%+( F( !"#$%&'(J31+( • J31+H(I"+4&7%+6&$(3'/3%'6<(/I(%$%7%+6&'<(3&',#$%.( – Q$%#6'/+H(J(R(S( • !"#$%".H(#/+.1.6(/I(3'/6/+.(&+4(+%"6'/+.( – L!%6M(+"#$%".(.31+(+"7A%'H(!(R(T;(S;(D;(U( – !/(+"#$%".(.31+(1I(%9%+(+"7A%'.(/I(+%"6'/+.("#$%3'/6/+.( !)-(C"+4&7%+6&$.( L#M(N1&+=&+(O=%+( P( +',-./#0123'41$5' =1$>/1?' 4&?1BC&' !"#$#%&' (%)*' ,678'/19:"&;'<5' 1@>*91*;&',A5' (&*")BC)$.' C:DEF'' 1$'6638'<'G&?9' DG( S( [[X[\( DXTT( ZTTXT( VXDTWW( TXTDZ( [XWZBDT@P( YWX\( WXYF\P( DXDT\( DXZ[BDT@F( DFZX\( S( @FXYDFW( TXPY( DXTVBDT@P( ZTXW( D[C( S( FZXD\DZ( DTT( TX\P( VYTXW( PD2( S( TX\P[V( DTT( WXWPBDT@F( FTFXW( FG( D( DPO( S( DZ!( FWXYZFF( L#M(N1&+=&+(O=%+( V( Q+%'*<(]%9%$.( Q+%'*<(]%9%$.( • )&*+%,#(413/$%( µz = "!mz 1 E "1/ 2 = #!B0 2 – ^H(_<'/7&*+%,#('&,/( • Q+%'*<($%9%$.( E = "µz B0 = "#!mz B0 ! • Q+%'*<(*&3( 1 E1/ 2 = " #!B0 2 "E = #!B0 = hv L ! ! – ]&'7/'(I'%`"%+#<H(&](R('0TaFb( ! – J6'%+*6=(/I(7&*+%,#(c%$4(4%6%'71+%.(6=%(%+%'*<(*&3(/I(&(*19%+(+"#$%1X( K-(3'/A%.(91A'&,/+&$(%+%'*<($%9%$.(:16=(%+%'*<(*&3.(d(W(e#&$a7/$X( 8+(&(6<31#&$(!)-(.3%#6'/7%6%';(6=%(!)-(%+%'*<(*&3(1.(d(DT@Z(e#&$a7/$X( G1*=%'(7&*+%,#(c%$4H(1+#'%&.%(.3%#6'&$(:146=(&+4('%./$",/+(( ( ( ( ( ((%+=&+#%(.3%#6'&$(.%+.1,916<( • !)-(7/.6$<(#/+#%'+.(S(+"#$%1H(DG;(DPO;(DZ!(%6#( L#M(N1&+=&+(O=%+( Z( )&*+%6(J6'%+*6=(&+4(2'/6/+(C'%`"%+#<( L#M(N1&+=&+(O=%+( W( !)-(J3%#6'"7( 5A./'3,/+(:=%+('&41&,/+(7&6#=%.(6=%(%+%'*<(*&3( “Complex” features of NMR spectra of chemicals EFNMR ~10-5 T ~ KHz $0 1.41 T 60 MHz 11.75 T 500 MHz $0.5m L#M(N1&+=&+(O=%+( 18.8 T 800 MHz 21.15 T 900 MHz >$5m Y( J"#=(1+1,&$$<("+3$%&.&+6(#/73$%B16<(L6/(3=<.1#1.6.M( A%#/7%.(/+%(/I(6=%(7/.6(3/:%'I"$(7%&+.(I/'( #=%71.6.(6/(3'/A%($/#&$(#=%71#&$(L&+4(.6'"#6"'&$M( %+91'/+7%+6.(/I(L&$$M(3'/6/+.(1+(&(.<.6%7f(( L#M(N1&+=&+(O=%+( \( O=%71#&$(J=1>( 5(I%:(#/+I".1+*(6%'71+/$/*1%.( • ]/#&$(9&'1&,/+.(/I(( (7&*+%,#(c%$4( • E/:+c%$4(L=1*=(337M(9.X("3c%$4(L$/:(337M( • G1*=(I'%`"%+#<(L=1*=(337M(9.($/:(I'%`"%+#<(L$/:(337M( " s = " 0 (1 # $ ) H NMR Chart Paper • O=%71#&$(.=1>( ! "s = relative intensity # s $ # ref # s $ # ref % #0 # ref C NMR Chart Paper low field high field low field high field high frequency low frequency high frequency low frequency TMS TMS – QB3'%..%4(1+(337( – -%I%'%+#%(.6&+4&'4H(6%6'&7%6=<$.1$&+%((L?)JM(L/'(EEJM( ! 13 1 – gH(.=1%$41+*(#/%h#1%+6( 10 • J1+*$%6H(&$$(DF(3'/6/+.(!)-(%`"19&$%+6( • ?)J(1.(9%'<(.=1%$4%4(&+4('%./+&6%(&6(=1*=('%`"%+#<( • )/.6(#/73/"+4.(.6"41%4(A<(DG(!)-(&A./'A(4/:+c%$4( /I(6=%(?)J(.1*+&$;(6=".(6=%'%(1.("."&$$<(+/(1+6%'I%'%+#%( A%6:%%+(6=%(.6&+4&'4(&+4(6=%(.&73$%X((( L#M(N1&+=&+(O=%+( 0 5 ! ppm less shielded 200 0 100 ! ppm more shielded Nuclei which absorb at higher field are more shielded from the applied Bo field by their respective Be fields. For these nuclei (Bo-Be) is smaller and correspondingly a lower frequency " is required to achieve resonance. http://orgchem.colorado.edu/hndbksupport/nmrtheory/chemshift.html [( L#M(N1&+=&+(O=%+( DT( Why do different protons absorb at different frequencies of the B1 field? ?<31#&$(O=%71#&$(J=1>.( Electronegative elements such as oxygen pull electron density away from the hydrogen nucleus. • ]/#&$(.=1%$41+*H(=1*=%'(%$%#6'/+(4%+.16<(@i(7/'%(.=1%$41+*( – Q$%#6'/+%*&,9%(."A.,6"%+6.(:16=4'&:(%$%#6'/+(&+4(6=".('%4"#%(.=1%$41+*((( O C H O • K+6%'&6/71#(.=1%$41+*(&+4('1+*(#"''%+6.( – K+4"#%4(7&*+%,#(c%$4(71*=6(/33/.%(/'(%+=&+#%(%B6%'+&$(7&*+%,#(c%$4f( H This decreases the magnitude of the shielding Be field and increases (Bo-Be). H methyl acetate C H C H O H H methoxy !=3.7 ppm methyl !=2.1 ppm Circulation of π electrons creates magnetic fields which contribute to the Be field. The contribuiton is a function of orientation and consequently is an anisotropic effect. " s = " 0 (1 # $ ) Bo Bo Be R ! C H Be adds to Bo near the proton C R R Be Be adds H to Bo near Be H C the proton Be substracts from Bo near the proton Be C R L#M(N1&+=&+(O=%+( DD( Be Be http://orgchem.colorado.edu/hndbksupport/nmrtheory/chemshift.html O=%71#&$(J=1>(K+4%B1+*( 533'/B17&6%(O=%71#&$(J=1>.( • O=%71#&$(.=1>.(I"'6=%'(4%3%+4(/+(L$/#&$M(.6'"#6"'%.( – C/'(%B&73$%;((jTXPZ(337;(/+(&9%'&*%;(I/'(Gk(1+(=%$1#%.;(&+4(lTXVT(337;(/+( &9%'&*%;(I/'(Gk(1+(m@.=%%6.(LN17%+%n(%6(&$X(D[\YM( R NH • OJKH(&(3/:%'I"$(7%&+(I/'(/A6&1+1+*(3'/6%1+(.%#/+4&'<(.6'"#6"'%.( R OH – O/73&'%4(6/('&+4/7(#/1$('%I%'%+#%(9&$"%.( R R Ph C H2 OH Cl OH H H 2C Ph CH3 R R O O H H R – &9%'&*%.(&..1*+7%+6.(I'/7(7"$,3$%(#=%71#&$(.=1>.(LDGk;(DPOk;(DPOm(&+4(DPO′M( 6/(&''19%(&6(&(#/+.%+.".(&..1*+7%+6X( CH3 R H R O R NR2 OCH3 CH3 CH3 R O CH3 CH3 TMS 10 9 8 7 6 5 ! ppm 4 3 2 1 0 • ]&6%.6(%B6%+.1/+.(6/('%$1&A$%(6%',&'<(.6'"#6"'%(4%6%'71+&,/+(A<(#/7A1+1+*( OJ(&+4(.6&,.,#&$(e+/:$%4*%f(L%X*X;(.%%(0&B(2!5J(FTT\M( http://orgchem.colorado.edu/hndbksupport/nmrtheory/chemshift.html !)-(2%&e(K+6%+.16<( Mielke and Krishnan, Prog. NMR Spect (2009) L#M(N1&+=&+(O=%+( DV( J31+@J31+(O/"3$1+*( • ?=%(7&*+16"4%(/'(1+6%+.16<(/I(!)-('%./+&+#%(1.(3'/3/',/+&$(6/(6=%(7/$&'( #/+#%+6'&,/+(/I(6=%(.&73$%;(:=1#=(1.(7/.6(&##"'&6%$<(7%&."'%4(&.( 1+6%*'&6%4(1+6%+.16<(L#/77/+$<(41.3$&<%4(/+(DE(!)-(.3%#6'&M( • K+6%*'&6%4(1+6%+.16<(1.(3'/3/',/+&$(6/(+"7A%'(/I(3'/6/+.( • 5XeX&X(J#&$&'(#/"3$1+*(LN@#/"3$1+*M( • 0%6:%%+(!)-(+/+@%`"19&$%+6(+"#$%1( – E1o%'%+6(#=%71#&$(.=1>.( – E1o%'%+6(#=%71#&$(%+91'/+7%+6(&+4(+/6(%+&+,/7%'1#(3&1'.( CH3 CH2 OH • ?='/"*=(#=%71#&$(A/+4.(L%$%#6'/+(.31+M( “Complex” features of NMR spectra of chemicals (ethanol: CH3 CH2 OH shown) – E%#%&.%.(:16=(7/'%(A/+4.H(+/(7/'%(6=&+(I/"'(A/+4.( – N(d(T(@(FT(Gn(L4%3%+4.(/+(#=%71#&$(+&6"'%(&+4(.6'"#6"'%M( – N(L7%&."'%4(1+(GnM(1.(c%$4(.6'%+*6=(1+4%3%+4%+6f( • ]%&4.(6/(.3$1p+*(/I(6=%(7&*+%,#(.31+(%+%'*<($%9%$.;(6=".;(.1*+&$.( – K+(6=%($1716(/I(N(qq(#=%71#&$(.=1>(41o%'%+#%(Lc'.6(/'4%'a:%&e(#/"3$1+*M( – J3$16(1+6/(!lD(3%&e.(1I(#/"3$%4(6/(!(&4r&#%+6(%`"19&$%+6(3'/6/+.( – ?=%(1+6%+.1,%.(/I(6=%.%(3%&e.(I/$$/:(2&.#&$s.(6'1&+*$%( D( D(((D( D(((F(((D(( D(((P(((P(((D( D(((V(((W(((V(((D(((((((((((((( L#M(N1&+=&+(O=%+( DZ( L#M(N1&+=&+(O=%+( DW( Q+%'*<(]%9%$.(&+4(N@O/"3$1+*( )/'%(#/73$%B(#&.%.(/I(N@#/"3$1+*( Additional splitting if coupled to multiple groups of (equivalent) protons Weak coupling Strong coupling AX2Y http://www-keeler.ch.cam.ac.uk/lectures/index.html L#M(N1&+=&+(O=%+( DY( J&73$%(!)-(J3%#6'&( L#M(N1&+=&+(O=%+( D\( ?<31#&$(N@O/"3$1+*(O/+.6&+6.( http://www.cem.msu.edu/~reusch/VirtualText/Spectrpy/nmr/nmr1.htm L#M(N1&+=&+(O=%+( D[( L#M(N1&+=&+(O=%+( FT( N@O/"3$1+*(&+4(O/+I/'7&,/+( -%$&B&,/+( • ?:/(6<3%.(/I('%$&B&,/+(3'/#%..%.( • N@#/"3$1+*(#/+.6&+6.(&'%(9%'<( .%+.1,9%(6/(#/+I/'7&,/+.( – ?DH(J31+@$&p#%('%$&B&,/+(L$/+*16"41+&$('%$&B&,/+;%%+6=&$31#('%$&B&,/+MH('%#/9%'<(/I( %`"1$1A'1"7(3/3"$&,/+.(L&+4(6=".(&($/..(/I(.1*+&$(&+4(%+%'*<M( – ?FH(J31+@.31+('%$&B&,/+(L6'&+.9%'.%('%$&B&,/+;(%+6'/31#('%$&B&,/+MH($/.6(/I( x#/=%'%+#%y(L:16=/"6(&($/..(/I(%B#16%4(.6&6%(3/3"$&,/+(/'(%+%'*<M( – 5(3/:%'I"$(7%&+(6/($/#&$(.6'"#6"'%.( – )1+17&$(+%&'([T(6/'.1/+(&+4( 7&B17"7(+%&'(T(/'(D\T(6/'.1/+( • ?F(1.(&$:&<.(.7&$$%'(6=&+(?D(Ld(TXD(z(FT(.%#MX( • !)-(3%&e(:146=(1.(*%+%'&$$<(4%6%'71+%4(A<(?FX( • t&'3$".(Q`"&,/+H(G@u@v@G( – Q731'1#&$(3&'&7%6%'.(Lcp+*M( – )"$,3$%(./$",/+.(( H' I' J' K' L' GO( OG( DY( T( DXD( GO( !G( DF( T( TXF( GO( 8G( DT( T( @DXT( G!( O!G(w( WXV( @DXV( DX[( #v = 1/T2 (*: !="-60 for proteins) L#M(N1&+=&+(O=%+( FD( )/$%#"$&'(?"7A$1+*(&+4(-%$&B&,/+( L#M(N1&+=&+(O=%+( FF( !"#$%&'(89%'=&".%'(Qo%#6(L!8QM( • 0/6=(3'/#%..%.(&'%(7&1+$<('%$&6%4(6/(7/$%#"$&'(6"7A$1+*(,7%.(L"#M( • -C(.&6"'&,/+(/I(/+%(.31+(#&".%.( 3%'6"'A&,/+(/I(.31+(3/3"$&,/+(/I( +%&'A<(+"#$%1(91&(7&*+%,#(413/$%@ 413/$%(1+6%'&#,/+.X(?=1.(#=&+*%.(6=%( 1+6%+.16<(/I(/6=%'(.31+.X(( • E1o%'%+#%(.3%#6'"7(:16=(&+4(:16=/"6( -C(.&6"'&,/+(/I(.%$%#6%4(.31+X( • 2'/914%(.3&,&$(41.6&+#%(1+I/(&.(413/$&'( #/"3$1+*(1+6%'&#6.(6='/"*=/"6(.3&#%X( • _%+%'&$$<(&+(%+=&+#%7%+6(%o%#6( • )&*+16"4%(I"'6=%'(4%3%+4.(/+( 7/$%#"$&'(4<+&71#.H(.$/:(7/,/+.( Li+.M('%4"#%.(!8Q(&+4(71*=6($%&4(6/( +%*&,9%(!8Qf( – ?"7A$1+*(,7%(d(+.(L(/'(:a(I'%`"%+#<(/I(_GnM( – ]&'*%'(7/$%#"$%.(6"7A$%.(.$/:%'(&+4(6=".(7/'%(%o%#,9%(1+(1+4"#1+*( '%$&B&,/+(L.=/'6%'(?D;(?FM( – C&.6%'('%$&B&,/+(&6(=1*=%'(c%$4.((( The largest component of the spectral density function, J($), is obtained when %c-1 & $0. • !8Q(A"1$4"3('&6%d(Da'W(L413/$%@413/$%M( L#M(N1&+=&+(O=%+( FP( L#M(N1&+=&+(O=%+( FV( J"77&'<(/I(K+I/'7&,/+(I'/7(!)-( • • • • • O=%71#&$(.=1>.H($/#&$(#=%71#&$(&+4(.6'"#6"'&$(%+91'/+7%+6( LK+6%*'&6%4M(1+6%+.16<H(+"7A%'(/I(3'/6/+.a#/+#%+6'&,/+( N@#/"3$1+*H(&4r&#%+6(3'/6/+.(&+4($/#&$(#/+I/'7&,/+.( -%$&B&,/+(,7%.H(4<+&71#.(L6"7A$1+*;(1+6%'+&$(&+4(%B#=&+*%M( !8QH(.=/'6@'&+*%(.3&,&$(41.6&+#%(Lq(W({M(|(L.$/:M(4<+&71#.(( 549&+#%4(?=%/'1%.(I/'(E%.#'1A1+*( !)-( E%9%$/37%+6(/I(7/4%'+(FE(&+4(7"$,@ 417%+.1/+&$(!)-(6%#=+1`"%.(:&.(7&4%(3/..1A$%( :16=(6=%(&14(/I(.3%#1&$(})('%3'%.%+6&,/+(e+/:+( &.(4%+.16<@7&6'1B(I/'7&$1.7X( 5$$(6=%.%(`"&+,,%.(#&+(A%(&##"'&6%$<(7%&."'%4;(/>%+;(I/'(&$$( +"#$%1(1+(6=%(.<.6%7X(?=1.(1.(:=<(!)-(#&+(A%(%B6'%7%$<(3/:%'I"$X( Additional reading: Dr. James Keeler’s Lectures (U of Cambridge) http://www-keeler.ch.cam.ac.uk/lectures/index.html L#M(N1&+=&+(O=%+( L#M(N1&+=&+(O=%+( FZ( ~%#6/'()/4%$( FW( )&+13"$&,/+(&+4(E%6%#,/+(/I()/( • Q+%'*<($%9%$.(&+4(.%$%#,/+.(.%9%'%$<($1716%4(1+("+4%'.6&+41+*(&49&+#%4( !)-(6%#=+1`"%.(."#=(&.(3"$.%4(!)-(&+4(7"$,417%+.1/+&$(!)-(( • ~%#6/'(7/4%$(1.(6=%($&+*"&*%(/I(!)-H(/+$<('1*/'/".(1+(&(I%:(#&.%.;(A"6( %B6'%7%$<(".%I"$(%9%+(I/'(6=%(7/.6(./3=1.,#&6%4(!)-(%B3%'17%+6.( • 0"$e(7&*+%,n&,/+H(+%6(7&*+%,n&,/+(9%#6/'(&$1*+.(:16=(0T( • )/(71*=6(A%(x'/6&6%4y(A<(&('&41/I'%`"%+#<(3"$.%X(( • 8+#%(,$6%4(&:&<(I'/7(6=%(n(&B1.;(6=%(7&*+%,n&,/+( 9%#6/'('/6&6%.(&A/"6(6=%(41'%#,/+(/I(6=%(7&*+%,#( c%$4(.:%%31+*(/"6(&(#/+%(:16=(&(#/+.6&+6(&+*$%(&6( ]&'7/'(I'%`"%+#<(L]&'7/'(3'%#%..1/+MX( • !)-(%B3%'17%+6.(4%6%#6(6=%(3'%#%..1/+(/I(6=%( 7&*+%,n&,/+(9%#6/';(."#=(&.(A<(3$&#1+*(&(.7&$$(#/1$( /I(:1'%('/"+4(6=%(.&73$%;(:16=(6=%(&B1.(/I(6=%(#/1$( &$1*+%4(1+(6=%(()@3$&+%X( • -%$&B&,/+.(&+4(I'%%(1+4"#,/+(4%#&<(LCKEM( (only x coil shown) T1 T2 http://www.cem.msu.edu/~reusch/VirtualText/Spectrpy/nmr/nmr2.htm L#M(N1&+=&+(O=%+( FY( L#M(N1&+=&+(O=%+( F\( J31+(83%'&6/'.( 2"$.%.( • ?=%(+"#$%&'(.31+(7&*+%,n&,/+(1.(7&+13"$&6%4(A<(&33$<1+*(&(7&*+%,#( c%$4(:=1#=(1.(L&M(6'&+.9%'.%(6/(6=%(.6&,#(7&*+%,#(c%$4(*+,X(1+(6=%(B<@3$&+%;( &+4(LAM(/.#1$$&,+*(&6(#$/.%(6/(6=%(]&'7/'(I'%`"%+#<(/I(6=%(.31+.X( • 0'&@e%6(+/6&,/+H(( # " i*Qˆ " j d$ %< i Qˆ j > – .31+(.6&6%.H(!i(&+4(#iH((q!!i(RD;(q##i(RD;(&+4(q!#i(RT( • J31+(&+*"$&'(7/7%+6"7(/3%'&6/'.H(KB;(K<;(&+4(Kn(L#/''%.3/+4(6/(B;(<;(&+4(n( ! #/73/+%+6.(/I(&+*"$&'(7/7%76"7M(( H = " 0 Iz + "1 cos(" RF t)Ix – J31+(.6&6.(!i(&+4(#i(&'%(%1*%+.6&6%.(/I(KnH(Kn!i(R(S(Ä!i(( – KB(&+4(K<H(( • G&71$6/+1&+H( ( %% % % % ( % ( % (lab frame) (rotating f.) H = (" 0 # " RF )Iz + "1Ix ~ "1Ix (R($0(Kn(L.1+*$%(I'%%(.31+M( % % % % %(6:/(:%&e$<(#/"3$%4(.31+.M% = "1I1x + "1I2x + ... (multiple spins) • Å=&6(4/%.(&(3"$.%(4/H(#=&+*%(6=%(41'%#,/+(/I(7&*+%,n&,/+(9%#6/'( ! # = $1!p. "3( (([T(3"$.%H(# R([T/( D\T(3"$.%H(#(R(D\T/( LB@3"$.%;(<@3"$.%M( G&'4(3"$.%H($&'*%($D(L=1*=(3/:%';( .=/'6(4"'&,/+;($&'*%'(A&+4:146=M( J/>(3"$.%H(.7&$$($1% L#M(N1&+=&+(O=%+( F[( L#M(N1&+=&+(O=%+( E%+.16<()&6'1B(?=%/'<H(2'/4"#6(83%'&6/'( • -%#&.6(/I(J#='Ç41+*%'É.(%`"&,/+(6/(#/+.14%'(%+.%7A$%(&9%'&*1+*( • 83%'&6/'.(&.(7&6'1B(L1+(6=%(%1*%+9%#6/'(A&.1.M( • E%+.16<(7&6'1BH( !)-(2'&#,#%( • 8A.%'9&A$%.(&.(6'&#%(/I(7&6'1BH( !)-(1.(A%#/71+*(&(x.6&+4&'4y(6//$X(?=%(e%<(1.( +/:(7/'%(6/("+4%'.6&+4(:=&6(16(1.(#&3&A$%(&+4( $%..(&A/"6(=/:(/+%(:/"$4(&#6"&$$<(#&''<(/"6(6=%( L4&6&(&#`"1.1,/+M(%B3%'17%+6X( • Q9/$",/+(/I(4%+.16<(7&6'1B( Additional reading: Dr. James Keeler’s Lectures (U of Cambridge) http://www-keeler.ch.cam.ac.uk/lectures/index.html L#M(N1&+=&+(O=%+( PD( PT( )/4%'+(!)-(J3%#6'/7%6%'( C/"'1%'(?'&+.I/'7(!)-(LC?@!)-M( • ?=%(A&.1#(3"$.%(&+4(&#`"1'%(%B3%'17%+6( “pulse sequence” RF output RF input 1. The sample is allowed to come to equilibrium. 2. RF power is switched on for long enough to rotate the magnetization through 90' i.e. a 90' pulse is applied. If the pulse is broad (“powerful”) enough, all protons in the sample are exited. 3. After the RF power is switched off we start to detect the signal which arises from the magnetization as it rotates in the transverse plane. 4. The free induction decay contains information about oscillation of all protons. Fourier transform analysis will thus produce the whole NMR spectrum. L#M(N1&+=&+(O=%+( Magnetic moments of excess nuclear spins in the ground state are represented by vectors. The vectors precess about the direction of the Bo field. PP( The sum of the individual spinvectors is represented by a large vector in the direction of the Bo field. z z This causes the net magnetization to tip off the z-axis into the yz-plane and then precess about the z-axis. This is equivalent to ground spin states going to excited spin states by absorption of energy from the B1 field. z The B1 field is supplied as a short pulse along Bo the x-axis. Bo y Bo Bo detector relaxation y y The change in magnetization x as a function of time as the net magnetization vector in the xy-plane precesses about the z-axis is observed along the y-axis as My. y B1 x PV( z z x B1 y L#M(N1&+=&+(O=%+( With time, the change in net magnetization caused by the B1 pulse decays back to the original state with no net magnetization in the xy-plane. x z z z Mz Magnetization along the y-axis as a function of time after the B1 pulse. Bo My one cycle FID relaxation eye y y Intensity Fourier My y Bo detector y x Transformation x x z The change in magnetization as a function of time as the net magnetization vector in the xy-plane precesses about the z-axis is observed along the y-axis as My. With time, the change in net magnetization caused by the B1 pulse decays back to the original state with no net magnetization in the xy-plane. My time Mx x magnetization in the xy plane resolved into Mx and My components NMR Spectrum Time Domain Spectrum intensity x The net magnetization can be resolved into Bo y- and z-axis components. The component in the xy-plane precesses about the z-axis. 10 Frequency Domain Spectrum 5 ! ppm 0 http://orgchem.colorado.edu/hndbksupport/nmrtheory/chemshift.html !)-(?D(-%$&B&,/+( J31+(Q#=/( The most famous NMR experiment: the magnetization ends up along the same axis, regardless of the values of ! and the offset, ". This is achieved by using 180 pulse as refocusing pulse. L#M(N1&+=&+(O=%+( O/=%'%+#%( • 56(%`"1$1A'1"7;(L3=&.%M(/I(6'&+.9%'.%( 7&*+%,n&,/+(1.(#/73$%6%$<('&+4/7( &+4(&9%'&*%.(6/(n%'/;(1X%X;(+/( #/=%'%+#%X( • Ñ3/+(&33$<1+*(&(-C(3"$.%(L.&<;(&([T( 3"$.%(&$/+*(@BM;(6=%(+%6(7&*+%,n&,/+( &$/+*(n@&B1.(1.(+/:(x'/6&6%4y(6/(&$1*+( &$/+*(<@&B1.X(?=1.(%B#16&,/+H(DM('%7/9%( 6=%(3/3"$&,/+(41o%'%+#%(/I(6:/(.31+( .6&6%.(L+/(+%6(7&*+%,n&,/+(&$/+*(nM;( &+4(FM(%.6&A$1.=%.(&(x#/=%'%+#%yH(6=%( +"#$%1(+/:(3'/#%..(:16=(6=%(.&7%( 3=&.%(L/+(&+(&9%'&*%(.%+.%MX(( • ?='/"*=(#/$$1.1/+;(6=%(#/=%'%+#%(1.( *'&4"&$$<($/.6(LA%I/'%(6=%(%`"1$1A'1"7( 3/3"$&,/+(1.(I"$$<('%@%.6&A$1.=%4M(((( L#M(N1&+=&+(O=%+( PY( L#M(N1&+=&+(O=%+( P\( ?F(-%$&B&,/+()%&."'%7%+6( z 90 pulse along -x P[( http://chem.ch.huji.ac.il/nmr/techniques/other/t1t2/t1t2.html L#M(N1&+=&+(O=%+( VT( 2=&.%(O<#$1+*( DE(!)-(/I(2'/6%1+.( • ?/(%$171+&6%("+:&+6%4(.1*+&$.a&',I&#6.(L&+4(.%$%#6(4%.1'%4(#/=%'%+#%M( • 0<('%3%&,+*(6=%(LDEM(%B3%'17%+6(:16=(&$6%'+&,+*(3"$.%(3=&.%.(&+4( &9%'&*1+*(6=%(CKE.;(#%'6&1+(.1*+&$.(L&+4(&',I&#6.M(:1$$(#&+#%$X(5+/6=%'( 41'%#6(A%+%c6(1.(%+=&+#%7%+6(/I(.%$%#6%4(.1*+&$@6/@+/1.%('&,/X((( • QB&73$%H(MJM((L2=&.%(5$6%'+&,+*(2"$.%(J%`"%+#%M( methyl (;1*' M>?"&' 4&;&)C&/' D( Ö( Ö( F( @u( @u( P( @Ö( @Ö( V( u( u( amide ~8-9 ppm aromatic ~7-8 ppm aliphatic <4 ppm These signals add up to zero! (unless receiver phase follows pulse Artifacts that do not follow the phases will cancel out! L#M(N1&+=&+(O=%+( Multi-dimensional NMR is the work-horse in biomolecular studies. VD( L#M(N1&+=&+(O=%+( VF( O/''%$&,/+(J3%#6'/.#/3<(LO8JuM( FE(!)-(J3%#6'/.#/3<( First 90 pulse: evolution Preparation mixing t1 FID: C(t1,t2) Preparation FID: C(t1) FT detection t1 FT detection t2 (solid rectangles denote 90 pulses) Spectrum I(&1,&1) Recording a 2D data set involves repeating a pulse sequence for increasing values of t1 and recording a FID as a function of t2 for each value of t1. Spectrum I(&1) y ' 6D% x (For AX system: ) Second 90 pulse: 2D contour plot Only last (3) and (4) terms lead to observable signals. Term 3 yields diagonal peaks ('1, '1). Term 4 contains “coherence transfer”: a ('1, '2) cross-peak modulated by '1 in t1 and by '1 in t2. L#M(N1&+=&+(O=%+( VP( L#M(N1&+=&+(O=%+( VV( !8QJuaQÖJu( K+I/'7&,/+(I'/7(O8Ju( after t1: • )/.6('1*/'/".(:&<(/I(&..1*+1+*(3'/6/+.H(3'%.%+#%(/I(#'/..@3%&e.( "+&7A1*"/".$<('%9%&$(N@#/"3$1+*(#/++%#,916<( • 2&Ü%'+.(/I(#/++%#,916<(1.(#=&'&#6%'1.,#(/I(6=%(7/$%#"$%H(/+#%(&(.1+*$%( 3%&e(L%X*X;(7%6=<$M(1.(&..1*+%4;(6=%('%.6(I/$$/:(6=%(O8Ju(#/++%#,916<X( • N@#/"3$1+*(#/+.6&+6.(&$./(7%&."'%4X( L#M(N1&+=&+(O=%+( 2nd 90 pulse: 1) 2) First term is “frequency labeled” and undergo NOE/chemical exchange; second term is eliminate by coherence selection (via phase cycling). The 3rd pulse detects the first term. VZ( L#M(N1&+=&+(O=%+( VW( G%6%'/+"#$%&'(J1+*$%(}"&+6"7(O/''%$&,/+(LGJ}OM( O/=%'%+#%(J%$%#,/+( • 2=&.%(#<#$1+*(&+4(*'&41%+6(3"$.%.(6/(.%$%#6a%$171+&6%(#%'6&1+( 6<3%.(/I(#/=%'%+#%(%B#16&,/+(I/'(4%6%#,/+( after t1: 2nd 90 pulse: 1) 2) NOESY/EXSY • • • How do one “select” I1z for detection? A simplified scheme (the actual phase cycling is more complicated): Scan 1: apply 2nd 90 pulse along x Scan 2: apply 2nd 90 pulse along –x • • • At the end, subtract FIDs from two scans. Can you imagine what happens to the above two terms? L#M(N1&+=&+(O=%+( Filled rectangles represent 90° pulses and open rectangles represent 180° pulses. The delay ( =1/(2J12); all pulses have phase x unless otherwise indicated. VY( )/.6(I'%`"%+6$<('%#/'4%4(1+(3'/6%1+(!)-( Ñ,$1n%(/+%@A/+4(Oa!@G(#/"3$1+*( QB#16&,/+(&+4(4%6%#,/+(1+(3'/6/+(#=&++%$(I/'(A%.6( .%+.1,916<f(L:=<áM( 8+%(#'/..@3%&e(L*'/"3M(I/'(%&#=(Oa!@G(3&1'( t%<(1+I/'7&,/+(/A6&1+%4H(#=%71#&$(.=1>.f( }"1#e(&+4(.173$%H('&314(!)-(I%&.1A1$16<(41&*+/.1.( &+4(.6&A1$16<(7/+16/'1+*(/I(3'/6%1+(.&73$%.((( L#M(N1&+=&+(O=%+( V\( )"$,@E17%+.1/+&$(!)-( L#M(N1&+=&+(O=%+( PE(J3%#6'&( V[( ~1."&$1n1+*(PE(J3%#6'&(".1+*(J6'13.( L#M(N1&+=&+(O=%+( ZT( … Schematic representations of dipeptides showing nuclei in residues i and i¡1, where i is the residue number, that are correlated (circled) in the HNCACB (top left) and (HB) CBCA(CO)NNH experiments (top right). The 13CB nuclei observed in the HNCACB are colored red, denoting the opposite phase of signals arising from these spins relative to phases of 13CA signals. Strip plots from the HNCACB experiment are at the 1HN(i) and 15N(i) chemical shifts for residues His 480 to Glu 488 of the Nedd4 WW domain (bottom). The negative 13CB signals are represented as red contours. Correlations between sequential 13CA/13CB resonances are indicated by dotted lines. The asterisks (¤) in the His 480 strip identify peaks with increased intensity on another plane. This spectrum was recorded at 500 MHz (1H frequency) on a 1-mM 15N=13Clabeled Nedd4 WW domain bound to the unlabeled ENaCBP2 peptide in 10 mM sodium phosphate, 90% H2O, 10% D2O, pH 6.5 at 30±C … Multidimensional NMR Methods for Protein Structure Determination, Kay et al., IUBMB Life (2001). L#M(N1&+=&+(O=%+( http://www.protein-nmr.org.uk/assignment_theory.html ZD( L#M(N1&+=&+(O=%+( ZF( ?'13$%(-%./+&+#%(2'/6%1+(!)-( )"$,417%+.1/+&$(2'/6%1+(!)-( Labeling of a protein with both 15N & 13C causes almost all of the atoms in the protein to become observable in NMR spectroscopy. More importantly, all of the atoms also become scalar coupled to each other. These homonuclear and heteronuclear scalar couplings are relatively large compared to the linewidth of the resonance lines. Two key references: 1. Markley (1994) Methods in Enzymology Vol 239. 2. Bax & Grzesiek (1993), Accounts of Chemical Research, 26, 132. L#M(N1&+=&+(O=%+( http://www.intermnet.ua.es/inteRMNet/cursoRule/doublelabel.html ZP( L#M(N1&+=&+(O=%+( http://www.intermnet.ua.es/inteRMNet/cursoRule/doublelabel.html )"$,417%+.1/+&$(2'/6%1+(!)-( 01/7/$%#"$&'(!)-(533$1#&,/+.( DX(G1*=@'%./$",/+(.6'"#6"'%(4%6%'71+&,/+( FX(E<+&71#.H('%$&B&,/+(&+&$<.1.( PX(?'&+.1%+6(1+6%'&#,/+.H(%B#16&,/+(6'&+.I%';(.31+@$&A%$1+*( VX(J/$14(.6&6%H(7%7A'&+%(3'/6%1+.( ZX(K+@#%$$(!)-( WX(K7&*1+*H()-K( ((((UX( L#M(N1&+=&+(O=%+( http://www.intermnet.ua.es/inteRMNet/cursoRule/doublelabel.html ZZ( ZV( Source: PDB First X-ray protein structures Hemoglobin and myoglobin, by Max Perutz and Sir John Kendrew, respectively, in 1958 First NMR protein structure: Proteinase inhibitor IIA by Wüthrich lab in 1984 (published on JMB 1985). L#M(N1&+=&+(O=%+( ZY( DX(G1*=@'%./$",/+(!)-(.6'"#6"'%(4%6%'71+&,/+( L#M(N1&+=&+(O=%+( Z\( 0&.1#(J6%3.(/I(!)-(J6'"#6"'%(E%6%'71+&,/+( • J&73$%(3'%3&'&,/+(&+4(4&6&(#/$$%#,/+( • O=%71#&$(.=1>(&..1*+7%+6.H(A&#eA/+%(&+4(.14%#=&1+( • !)-(1.(/+%(/I(6=%(/+$<(6:/(7%6=/4.(I/'(=1*=@'%./$",/+( .6'"#6"'%(4%6%'71+&,/+(A%.14%.(Ö@'&<(#'<.6&$$/*'&3=<( • 549&+6&*%.(/I(!)-( – – – – (see a historical review by Wüthrich, Nature Struct Biol 8, 923 - 925 (2001)) – O=%71#&$(J=1>(K+4%B1+*(&+4(N@#/"3$1+*(#/+.6&+6.H(F+4(.6'"#6"'%.( • E1.6&+#%(&+4(/6=%'(.6'"#6"'&$('%.6'&1+6.H(!8QJu( • J6'"#6"'&$(#&$#"$&,/+.H('%.6'&1+%4(7/$%#"$&'(4<+&71#.( • -%c+%7%+6(&+4(9&$14&,/+( K+(./$",/+H(7/'%(3=<.1/$/*1#&$$<('%$%9&+6(#/+41,/+.( 2'/914%(1+I/'7&,/+(/+(3'/6%1+(4<+&71#.( -//7(6%73%'&6"'%(/'(L&$7/.6M(&+<(6%73%'&6"'%.(/I(1+6%'%.6( E1'%#6(7/+16/'1+*(/I(A1/3=<.1#&$(&+4(A1/#=%71#&$(3'/#%..%.( • ]1716&,/+.(/I(!)-( – ?17%(#/+."71+*(&+4($&A/'(1+6%+.19%H(41h#"$6(I/'(=1*=@6='/"*=3"6;( 3'/+%(6/(="7&+(%''/'.;($%..(3'%#1.%( – !%%4(6/(A%(=1*=$<(./$"A$%H(.6&A$%(:16=(+%&'(7)(#/+#%+6'&,/+( • J/7%,7%.(x.6'&+*%y(!)-(A"o%'.(=&9%(6/(A%(".%4( – ]1716%4(6/(3'/6%1+(/I(7/4%'&6%(.1n%.H(q(FTT('%.14"%.(1+(*%+%'&$ ( • Ö@'&<(&+4(!)-(#&+(A%(#/73$%7%+6&'<( L#M(N1&+=&+(O=%+( Also see: http://en.wikipedia.org/wiki/Protein_nuclear_magnetic_resonance_spectroscopy Z[( L#M(N1&+=&+(O=%+( WT( J7&$$(2%3,4%.(LqPT('%.14"%.M( 2'/6%1+(!)-(J&73$%(-%`"1'%7%+6.( • FE(2'/6/+(!)-(/+$<H(1./6/3%(%+'1#=7%+6(+/6(+%#%..&'<f( • 0&#eA/+%(&+4(.14%#=&1+.(&..1*+%4(".1+*(O8Ju(&+4(?8OJu( • 2'/6/+@3'/6/+(41.6&+#%(I'/7(!8QJu( • Qh#1%+6(3'%3&'&,/+(/I(."h#1%+6(=1*=$<( 3"'1c%4(7&6%'1&$(:16=(&33'/3'1&6%( 1./6/3%($&A%$1+*(1.(1+#'%&.1+*$<(6=%('&6%( $171,+*(.6%3(1+(!)-(.6"41%.(/I( A1/7&#'/7/$%#"$%.( p22 in SDS micelles KKKKP ARVGL GITTV LTMTT QS – 6<31#&$$<(%B3'%..1+*(3'/6%1+.(1+(71+17&$( 7%41"7(:16=(.1+*$%(ODP(&+4(!DZ( '%./"'#%.(L*$"#/.%(&+4(&77/+1"7(.&$6M( • 5$$(6<31#&$(!)-(.&73$%('%`"1'%7%+6.( &33$<H(EF8;(+/(3&'&7&*+%,#(1/+.;(#$%&+( 6"A%;(4%*&..1+*;('%I%'%+#%;(%6#( • 0"o%'H(3G;(1/+.;(&+4(#/@./$9%+6H(6'1#e<;( /3,71n%4(L./$"A1$16<;(.6&A1$16<;(.6'"#6"'&$( 3'/3%',%.;(%6#M( • }"1#e(91%:(/I(!)-(."16&A1$16<H(GJ}O(LGa O(/'(Ga!M( L#M(N1&+=&+(O=%+( <NL(H' WD( O'%&6%.(#/''%$&,/+.(A%6:%%+(&$$(3'/6/+.(:16=1+(&(*19%+(.31+( .<.6%7;(+/6(r".6(A%6:%%+(#$/.%(+%1*=A/'.($1e%(1+(O8JuX( 2&',#"$&'$<(".%I"$(1+(14%+,c#&,/+(/I(&71+/(&#14.f( Finger print region (HN-Ha/Side chain protons) of 1H-1H TOCSY Finger print region (HN-HN) of 2D 1H-1H NOESY spectrum L#M(N1&+=&+(O=%+( Herrera et al PROTEINS (in press) WF( J31+(]/#e( Spin-echo sequence Spin-lock sequence COSY peaks TOCSY peaks “spin lock period” Spin-lock sequence – is the Spin-echo sequence, applied continuously. The simplest spin-lock sequence is just a continuous pulse. L#M(N1&+=&+(O=%+( WP( The Spin-lock sequence makes all spins strongly coupled (differences in chemical shifts are less than coupling constants) E1.6&+#%(-%.6'&1+6.(I'/7(!8Q( ]&'*%'(2'/6%1+.( • E&6&(5#`"1.1,/+H( • OJ(&..1*+7%+6('%`"1'%.(4/"A$<@$&A%$%4(3'/6%1+.( • 5"6/7&,#(&..1*+7%+6(/>%+(I%&.1A$%H(#/''%#6(&..1*+7%+6(&( #'1,#&$(.6&',+*(3/1+6f( High resolution 1H-15N HSQC High resolution 1H-13C HSQC (aliphatic) High resolution 1H-13C HSQC (aromatic) Backbone: HNCA HN(CO)CA HNCO HCACO HN(CA)CO CBCA(CO)NH HNCACB HBHA(CBCACO)NH HN(CA)HA 3D NOESY 3D 13C NOESY 15 4D N, 13C NOESY 4D 13C, 13C NOESY 3D 15N, 15N NOESY 3D 15N HSQC-NOESY-HSQC (take two NOESY spectra at 2 or more mixing times when possible) Side chain: 15N TOCSY-HSQC C(CO)NH-TOCSY H(CCO)NH-TOCSY CCH-TOCSY CCH-COSY HCCH-TOCSY HCCH-COSY Aromatic 1H spectra (2QF COSY and 2Q) for resonances within aromatic rings 1H NOESY to connect Hd with Hb (marked high intensity NOEs) (Hb)Cb(CgCd)Hd (Hb)Cb(CgCdCe)He (HC)C(C)CH-TOCSY Methionine HMBC to assign methyl group • • • • !8Q(A"1$4"3(d(Da'W( 5#6"&$(.$/3%(&$./(4%3%+4.(/+( 4<+&71#.;(.31+(41o".1/+;(.6'/+*( #/"3$1+*(%6#( !8QJu(1.(+/1.<f( Ñ,$1n%(e+/:+(41.6&+#%.H(1+6'&@ '%.14"%(/+%.;(F+4(.6'"#6"'%.( • !8Q(&..1*+7%+6.H(/9%'$&3.($%&4(6/(&7A1*"/".(!8Q.à(16%'&,9%( &..1*+7%+6(&..1.6%4(:16=(.6'"#6"'&$(I%%4A&#e.f(((( • 01++1+*(!8Q(1+6%+.1,%.H($&'*%("+#%'6&1+,%.(&+4(/+$<(`"&$16&,9%f( ;?1"" Incomplete excerption from Wright/Dyson lab manual (The Scripps Research Institute). L#M(N1&+=&+(O=%+( • O&$1A'&,/+(/I(!8Q( 15N ( (/&"$/1)*$' '9&";/)%B#* (wI/'(3'/6%1+(:a()'qFT(eE&( .6'/+* ( 7%41"7( :%&e ( (DX\@FXY({ (DX\@PXP({ (DX\@ZXT({ (.6'/+*(1+6%+.16<(1+(.=/'6(67(LdZT(7.wM(!8QJu( (:%&e(1+6%+.16<(1+(.=/'6(67(LdZT(7.wM(!8QJu( (/+$<(91.1A$%(1+($/+*%'(71B1+*(,7%(!8QJu( WZ( L#M(N1&+=&+(O=%+( ( WW( 3D 1H-15N NOESY-HSQC spectrum of a dimeric GpA mutant PE(!8QJu@GJ}O( • FE(DG@DG(!8QJu(#&+(A%(9%'<(( #'/:4%4X( • 5441,/+&$(417%+.1/+(=%$3.(6/( 41.3%'.%(6=%(3%&e.(&+4(I&#1$16&6%( &..1*+7%+6( • !8QJu(I/$$/:%4(A<(GJ}O( L#M(N1&+=&+(O=%+( WY( http://www-bioc.rice.edu/~mev/spectra3.html L#M(N1&+=&+(O=%+( W\( J6'"#6"'&$(O&$#"$&,/+( 5441,/+&$(J6'"#6"'&$(-%.6'&1+6.( • 5$$(.6'"#6"'&$('%.6'&1+6.(173$%7%+6%4(A<(3%+&$6<(I"+#,/+.( • O=%71#&$(.=1>(&+&$<.1.H(OJK( • G<4'/*%+(A/+4.H(EF8(%B#=&+*%(%B3%'17%+6.(6/(14%+,I<(.$/:( %B#=&+*1+*(&714%.(L6=/.%(1+9/$9%4(1+(=@A/+4.M( • N@#/"3$1+*(#/+.6&+6.( Experiment Coupling constant 3J HNHA HN,Ha 3J HA(CA)HB COSY Ha,Hb 3J HNHB HN,Hb 2QF COSY JHN,Ha, 3JHa,Hb 13C-{13CO} spin-echo difference ct-HSQC 3J Cg,CO 13C-{15N} spin-echo difference ct-HSQC 3J Cg,N L#M(N1&+=&+(O=%+( V = "VMM + "VNMR ! Information (% c1, bH stereos c1, bH stereos confirmation Ile, Thr )1, Val )1, C* stereos Ile, Thr )1, Val )1, C* stereos W[( Distance rij • J6'"#6"'&$(#&$#"$&,/+('%@#&.6%4(&.(*$/A&$(%+%'*<(71+171n&,/+a #/+I/'7&,/+&$(.%&'#=(3'/A$%7(L:=1#=(1.(7/$%#"$&'(4<+&71#.(&$$(&A/"6fM( • -%.6'&1+%4(7/$%#"$&'(4<+&71#.(:16=(.17"$&6%4(&++%&$1+*(6/(*%+%'&6%(.%6.( /I(.6'"#6"'%.(6=&6(7&B17&$$<(.&,.I<(&$$('%.6'&1+6.( • ?:/(e%<(3/3"$&'(!)-(.6'"#6"'&$(#&$#"$&,/+(./>:&'%( – Ou5!5aEu5!5H(=Ü3Haa:::X$&.Xr3a3'/4a#<&+&a%*( – O!JH(=Ü3Haa#+.@/+$1+%X/'*a9DXFDa( – Ö3$/'@!KGH((=Ü3Haa+7'X#16X+1=X*/9aB3$/'@+1=a( L#M(N1&+=&+(O=%+( YT( Internal Coordinate MD L#M(N1&+=&+(O=%+( YD( L#M(N1&+=&+(O=%+( YF( -%c+%7%+6(1+(173$1#16(./$9%+6(#&+(A%(".%4(6/(/A6&1+(( +&,9%@$1e%(7/4%$.(I'/7($1716%4(!)-(4&6&X( -%c+%7%+6(|(~&$14&,/+( • !)-('%.6'&1+6(91/$&,/+(.6&,.,#.H( .%$I@#/+.1.6%+#<( • O/+9%'*%+#%(L3'%#1.1/+MH(#&+(A%( 71.$%&41+*( • 2-8OGQOtH(2E0(.6&,.,#.(/+( *%+%'&$((a+(41.6'1A",/+.( • -%c+%7%+6(".1+*(&441,/+&$( 1+I/'7&,/+(I'/7( – Q731'1#&$(3'/6%1+(I/'#%(c%$4H( ./$9%+6(%o%#6.( V = "VMM + "VNMR + "VOther ! – 5441,/+&$(%B3%'17%+6&$(4&6&H( !)-(&+4(+/+@!)-f( – -%.14"&$(413/$&'(#/"3$1+*(L-EOM(( PDB: 2KI7; Xu et al, JMB (2009) L#M(N1&+=&+(O=%+( -%c+%7%+6(/I( )&$6/.%@01+41+*( 2'/6%1+(L)02M( • 370 residues, 42 kDa ! • 1943 NOE, 45 hydrogen bonding and 555 dihedral angle restraints.! • Average backbone RMSD to X-ray structure is 5.5 Å (a).! • Improved to 3.3 Å with 940 additional dipolar coupling based restraints (b).! Ref. Mueller et al., JMB 300, 197 (2000)! YP( Cost: ~12h wall time using 16 Intel 2.4GHz CPUs! K73$1#16(J/$9%+6(-%c+%7%+6(-%."$6.( • All NOE and dihedral angle restraints were used.! • 48 replicas were simulated at 300 to 800 K until converged.! • Total of 1.0 ns REX/GB simulation.! ! ! ! ! ! !Initial RMSD to X-ray (Å) a! Global ! ! ! ! !4.3±4.1 N-domain ! ! ! !2.5±2.1 C-domain ! ! ! !3.0±3.2 (/+ space: residues (%)! Most favored ! ! !72.2 ! Additionally allowed ! !22.8 ! Generously allowed ! !3.8 !1.6! Disallowed ! ! ! !1.2 ! Violation statistics! RMSD of NOEs (Å) ! !0.0047 NOE violations ( > 0.2Å) !2.85 ! RMSD of angles (in degrees) !0.53 ! a !Final! !2.3±2.6! !2.2±1.4! !2.0±1.9! !84.3! !13.3! !0.8! !0.014! !4.42! !6.25! Backbone RMSD with respect to PDB:1dmb shown. Global: residues 6-235 and 241-370; N-domain: 6-109 and 264:309; C-domain: 114-235, 241-258 and 316-370.! -%3'%.%+6&,9%(J6'"#6"'%.H()02( 5.8 Å ! ! ! ! ! ! 2.9 Å! 5.7 Å ! ! ! ! ! ! 5"6/7&,#aG1*=(?='/"*=3"6(!)-(J6'"#6"'%(E%6%'71+&,/+( “The automation of protein structure determination using NMR is coming of age. The tedious processes of resonance assignment, followed by assignment of NOE (nuclear Overhauser enhancement) interactions (now intertwined with structure calculation), assembly of input files for structure calculation, intermediate analyses of incorrect assignments and bad input data, and finally structure validation are all being automated with sophisticated software tools. The robustness of the different approaches continues to deal with problems of completeness and uniqueness; nevertheless, the future is very bright for automation of NMR structure generation to approach the levels found in X-ray crystallography. Currently, near completely automated structure determination is possible for small proteins, and the prospect for mediumsized and large proteins is good.” 3.5 Å! “Automation of NMR structure determination of proteins”, Altieri and Byrd, Curr Opin Struct Biol (2004) RMSD values: from X-ray (PDB:1dm); backbone atoms of residues 6-235 and 241-370! O5!EKE(2'/6/#/$( Y\( cycle 1 FX(2'/6%1+(E<+&71#.(I'/7(-%$&B&,/+(5+&$<.1.( Relaxation parameters (T1, T2, NOE) determined mainly by molecular tumbling and also depends on internal dynamics They thus report on internal dynamics, even though not always in obvious ways! Final cycle Wuthrich and coworkers, JMB (2002) L#M(N1&+=&+(O=%+( L#M(N1&+=&+(O=%+( Y[( blue: with Cu2+; red: without ~1$$&+"%9&(%6(&$X;(xK+#'%&.%(1+(6=%(#/+I/'7&,/+&$(â%B1A1$16<( /I(#F@71#'/*$/A"$1+("3/+(#/33%'(A1+41+*H(5(3/..1A$%('/$%( L#M(N1&+=&+(O=%+( \T( I/'(#/33%'(1+(41&$<.1.@'%$&6%4(&7<$/14/.1.y;(2'/6X(J#1(LFTT[MX( J3%#6'&$(E%+.16<(&+4(K+6%'+&$()/,/+.( }"&+,6&,9%(5+&$<.1.(/I(!)-(-%$&B&,/+( • ?=%(.3%#6'&$(4%+.16<(I"+#,/+(1.(6=%(C/"'1%'(6'&+.I/'7(/I(6=%(&+*"$&'(&"6/@ #/''%$&,/+(I"+#,/+;(OL6M;(/I(6=%(!@G(A/+4(9%#6/';( • Å16=(L3'/6/+@3'/6/+M(#'/..@'%$&B&,/+(."33'%..%4;(&714%(!DZ( '%$&B%.(3'17&'1$<(4"%(6/(413/$&'(1+6%'&#,/+(:16=(6=%(41'%#6$<( &Ü&#=%4(DG(.31+(&+4(6='/"*=(DZ!(O=%71#&$(J=1>(5+1./6'/3<X( • -%$&B&,/+(3&'&7%6%'.(4%6%'71+%4(A<(.3%#6'&$(4%+.1,%.H(( • ?=%(&"6/@#/''%$&,/+(I"+#,/+(4%3%+4.(/+(A/6=(/9%'&$$(6"7A$1+*(&+4( 1+6%'+&$(4<+&71#.X(5.."71+*(OL6M(R(O/L6M(OKL6M;(1I(6"7A$1+*(7"#=(.$/:%'X( • K+(./@#&$$%4(x7/4%$@I'%%y(&+&$<.1.(L]13&'1(&+4(Jn&A/;(D[\FM;(1+6%'+&$( 4<+&71#.(#=&'&#6%'1n%4(A<(L7/,/+M(7/4%$@I'%%(3&'&7%6%'.;(1+#$"41+*(( – *%+%'&$1n%4(/'4%'(3&'&7%6%'.(L(MH(&73$16"4%.(/I(6=%(1+6%'+&$(7/,/+.( – Qo%#,9%(,7%(#/+.6&+6.(L"MH(,7%@.#&$%.(/I(6=%(1+6%'+&$(7/,/+.( Sample CI(t) with S2=0.9, "e=50 ps rNH is the length of the N-H bond; () is the CSA of 15N; $H and $N are the Larmor frequencies of 1H and 15N Chen et al., JBNMR (2004) and references therein. L#M(N1&+=&+(O=%+( \D( )/4%$@C'%%(5+&$<.1.( Time (ps) L#M(N1&+=&+(O=%+( \F( Assumption of uncoupled tumbling and internal motions in model-free analysis likely leads to an underestimation of motions on ns timescales. • )%&."'%(?D;(?F(|(!8Q;(6<31#&$$<(&6(6:/(c%$4.(L%X*X;(ZTT()Gn(&+4(WTT()GnM( • C/'(%&#=(!DZ;(c6(L6='%%(/'(.1BM('%$&B&,/+(4&6&(3/1+6.(6/(6/(/A6&1+( *%+%'&$1n%4(/'4%'(3&'&7%6%'.(LJM(&+4(%o%#,9%(,7%(#/+.6&+6.(L"MX( • ?=%.%(4<+&71#.(3&'&7%6%'.(`"&+,I<(3'/6%1+(1+6%'+&$(4<+&71#.(&+4(#&+(A%( ".%(6/("+4%'.6&+4(6=%('/$%(/I(1+6%'+&$(4<+&71#.(1+(I/$41+*(&+4(A1+41+*X( NMR PROBES OF MOLECULAR DYNAMICS: Overview and Comparison with Other Techniques, Palmer, Annu Rev Biophys Biomol Struct (2001). L#M(N1&+=&+(O=%+( \P( A novel view of domain flexibility in E. coli adenylate kinase based on structural mode-coupling 15N NMR relaxation, Tugarinov et al, JMB (2002). L#M(N1&+=&+(O=%+( \V( 2'/6%1+(4<+&71#.(1+(%+n<7%(#&6&$<.1.( mesoAdk Schnell et al, Annu Rev Biophys Biomol Struct (2004) thermoAdk The synergy between structure and dynamics is essential to the function of biological macromolecules. …. Here we show that pico- to nano-second timescale atomic fluctuations in hinge regions of adenylate kinase facilitate the large-scale, slower lid motions that produce a catalytically competent state. The fast, local mobilities differ between a mesophilic and hyperthermophilic adenylate kinase, but are strikingly similar at temperatures at which enzymatic activity and free energy of folding are matched. thermoAdk @ 20C 50C 80C The connection between different timescales and the corresponding amplitudes of motions in adenylate kinase and their linkage to catalytic function is likely to be a general characteristic of protein energy landscapes. A hierarchy of timescales in protein dynamics is linked to enzyme catalysis, Kern and coworkers, Nature (2007) L#M(N1&+=&+(O=%+( \Z( L#M(N1&+=&+(O=%+( O/+I/'7&,/+&$(Q+6'/3<(1+(2'/6%1+(K+6%'&#,/+( O/"3$%4(01+41+*(&+4(C/$41+*( Here we employ changes in conformational dynamics as a proxy for corresponding changes in conformational entropy. We find that the change in internal dynamics of the protein calmodulin varies significantly on binding a variety of target domains. Surprisingly, the apparent change in the corresponding conformational entropy is linearly related to the change in the overall binding entropy. This indicates that changes in protein conformational entropy can contribute significantly to the free energy of protein–ligand association. \W( intra-well rotamer conv. “Encounter Complex” Wand and coworkers, Nature (2001); Nature (2007) (sidechain methyl axial) pKID/KIX L#M(N1&+=&+(O=%+( \Y( Wright and coworkers, Nature (2007); COSB (2009) L#M(N1&+=&+(O=%+( \\( ~1."&$1n1+*(6'&+.1%+6(%9%+6.(1+(( &71+/@6%'71+&$(&"6/3'/#%..1+*(/I(GK~@D(3'/6%&.%( PX(J31+@$&A%$1+*(&+4(?'&+.1%+6(K+6%'&#,/+.( • 2&'&7&*+%,#(#%+6%'.(%+=&+#%(!)-('%$&B&,/+;(6<31#&$$<("+4%.1'%4X( • 2&'&7&*+%,#('%$&B&,/+(%+=&+#%7%+6(L2-QM(#/"3$%4(:16=(.16%@41'%#6%4( .31+@$&A%$1+*(LJEJ]M;(=/:%9%';(3'/914%.(41.6&+#%(1+I/'7&,/+("3(6/(PZ({X( – 5$$/:.(/+%(6/(4%6%#6($/+*@'&+*%(/'4%'1+*(&+4(6'&+.1%+6(.6'"#6"'%.f(((( Structural Reorganization of *-Synuclein Structures of typical nitroxide-based spin probes Fanucci & Cafiso, COSB (2006); Wu et al, JMB (2009) L#M(N1&+=&+(O=%+( \[( ZX(K+@O%$$(!)-( PREs were measured on a 1:1 mixture of 0.2+mM U-[2H/13C/15N]-labelled SFNFPR(D25N) and spinlabelled SFNFPR(D25N) at natural isotopic abundance. Tang et al, Nature (2007) L#M(N1&+=&+(O=%+( [T( A putative heavy-metal binding protein TTHA1718 from Thermus thermophilus HB8 overexpressed in Escherichia coli cells. a, A superposition of the 20 final structures of TTHA1718 in living E. coli cells, showing the backbone (N, Calpha, C') atoms. b, A superposition of the 20 final structures of purified TTHA1718 in vitro. c, A comparison of TTHA1718 structures in living E. coli cells and in vitro. The best fit superposition of backbone (N, Calpha, C') atoms of the two conformational ensembles are shown with the same colour code in a and b. d, Secondary structure of TTHA1718 in living E. coli cells. The side chains of Ala, Leu and Val residues, the methyl groups of which were labelled with 1H/13C, are shown in red. e, Distance restraints derived from methyl-group-correlated and other NOEs are represented in the ribbon model with red and blue lines, respectively. a, Scheme of the in-cell NMR experiments using E. coli cells. b, The 1H–15N HSQC spectrum of a TTHA1718 in-cell NMR sample immediately after sample preparation. c, The 1H–15N HSQC spectrum after 6 h in an NMR tube at 37 °C. d, The 1H– 15N HSQC spectrum of the supernatant of the in-cell sample used in b and c. Protein structure determination in living cells by in-cell NMR spectroscopy, Sakakibara et al, Nature (2009). L#M(N1&+=&+(O=%+( [D( Protein structure determination in living cells by in-cell NMR spectroscopy, Sakakibara et al, Nature (2009). L#M(N1&+=&+(O=%+( [F( WX()-K( x7&*+%,#('%./+&+#%(6/7/*'&3=<y( C1'.6()-(17&*%(1+(D[YP( FTTP(!/A%$(2'1n%( E%6%#6(?D(/'(?F('%$&B&,/+(/I(:&6%'( 3'/6/+.(1+(A/4<( • O/+6'&.6(&*%+6(6/(%+=&+#%(6=%(#/+6'&.6( L1+#'%&.%(6=%(.3'%&4(/I(?Da?F(1+(,.."%.M( • 0T(d(DXZ(?(LWT()GnM( • QB6%+.19%(".%(/I(7&*+%,#(c%$4(*'&41%+6( I/'(3$&+%(.%$%#,/+( • • • • Additional reading: http://www.cis.rit.edu/htbooks/mri/ L#M(N1&+=&+(O=%+( [P(