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VX H4bUVI9KI!O}~O%Q$K6NS0Q,O6Ë4O%Q$K ¹
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L H K^]VX H.Y 5] AKMR H K igY8D ] iH N H L D 5dEX H L H ]dM_V D:D a H ]R DEFIH VX H K^V8V8]KMRVTD L DMA VX H
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a^K ? H hXTGRX Y X D h H NVXK^V FID ] HHZ?BH RV8] D L Y h H ] HHZF TBV8V H N \H ]VTFIH LTBV+hXT?BH VX H
STGL H VTGR H L H ]dETHZYDMA VX H4\ X D V DHZ?BH RV8] D L Y h H ] H VX H.Y K FIH O CD h H a H ]ZeghX H LVX H
A] H H LR_ DMA VX H.FID L D RX5] DEF K^VTGR ?TBdEX/V+h+K Y TGLR] H K Y8H Ne5VX H STGL H VTGR H L H ]dETHZYDMA
VX H4\ X D V DHZ?BH RV8] D L Y TGLR] H K Y8H N \ ] DM\D ]VTD LK ?G?_MO¦WX HZY8HDMigY8H ]a^K^VTD L Y R D ?NL D V iH
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LK^V5] HDMA ]KMNTGK^VTD LO
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H L H ]dM_ DMA VX H4\ X D V D L D ]L D L H K^VK ?G?O -A VXTY+H L H ]dM_TY dM] H K^V H ]@VXKMLVX H ¯g{
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R D L Y8H ]a H NTGLVX H4HZ?BH RV8] D LK Y STGL H VTGR H L H ]dM_Me 8µ·¶¸ O;WX H ] HZ?K^VTD L Y XT\iH Vbh HUH L
VX H4H L H ]dM_ DMA VX H\ X D V D LeVX H h D ] ALRVTD Le5KMLNVX H STGL H VTGR H L H ]dM_ DMA VX H
HZ?BH RV8] D LTY+H~S\ ] HZYY8H NTGLVX H4ADE?G?BD hTGL5d H K^VTD L wÕ TY VX H.F K YYDMA VX HHZ?BH RV8] D Le
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L \ X D V DHZ?BH RV8] D L Y8\H RV8] DEY R DM\ _Me FIDE?BH RU ?BHZY KMLNK^V DEF:Y K^] H R D ] H4D ]a^K ?BH LR H
TD LTB½ H N F K^STGL5dIVX HZF \DEY TBVTBa HZ?_RXK^]d H NOQ D ]VX H.Y K FIH K^V DEF D ] FIDE?BH RU ?BH e5VX H
R D ] H TD LTB½ZK^VTD L H L H ]dM_TY XTBdEX H ]+VXKMLVX H a^K ?BH LR H TD LTB½ZK^VTD L H L H ]dM_MOQWX H ] H K Y8D L
AD ]VXTY TY VX HFID ] H4Y V8] D L5d ?_ HZ?BH RV8] DEY VK^VTGR4K^V8V8]KMRVTD L iH Vbh HUH LVX H R D ] H4HZ?BH RV8] D L Y
KMLNVX H\DEY TBVTBa HZ?_RXK^]d H NLR ?BH Y O;WX H a^K ?BH LR H4HZ?BH RV8] D L Y K^] H4FID ] H.Y XTHZ?N H N
A] DEF VX H LR ?BH Yi _VX H TGLL H ] HZ?BH RV8] D L Y hXTGRX] HZY ?V Y TGL ?BD h H ]@TD LTB½ZK^VTD L
H L H ]dETHZY O
LRX HZF TY V8]_MeRX HZF TGRUK ? ] H KMRVTBaSTBVb_TY KhTGN H R D LR HU\ VUOQWX H ] H K^] H.F KML/_Vb_ \HZYD ]
R ?K YY8HZY+DMA RX HZF TGRUK ? ] H KMRVTD L Y VXK^VRUKMLVK^ H\g?KMR H TGLLK^V5] H D ]TGLVX H?K iD ]K^V D ]_MO
P DEFIHDMA VX HZY8H R ?K YY8HZYDMA ] H KMRVTD L Y RUKML iH LR ?BHUDM\ XT?TGR Y igY VTBV5VTD L YP ¸ l e
P ¸ j e HZ?BH RV8] DM\ XT?TGR@KMNNTBVTD L Y4> N·;je > N·'¸ e HZ?TF TGLK^VTD L] H KMRVTD L Y9
l e l R i e
j egK^] DEF K^VTGR Y igY VTBV5VTD L Y eSR D LR H ]V H N] H KMRVTD L Y egKMLN A] HUH]KMNTGRUK ? ] H KMRVTD L Y O
>@?G?DMA VX HZY8H ] H KMRVTD L YADE?G?BD h*VX H TB] D hLRXK^]KMRV H ]TY VTGR ] H KMRVTD L FIH RXKMLTYF:Y hTBVX
D L H4D ] Y8H a H ]K ? ] H KMRVTD L Y V HU\gY O;W D N H V H ] F TGL H VX H ] H KMRVTBaSTBVb_ DMA K:R DEFI\D LN
ADE?G?BD hTGL5dIK Y8\H RUTÛR@] H KMRVTD L FIH RXKMLTYF e5h H L HUH NV D TGL/a HZY VTBdEK^V H.H KMRX] H KMRVTD L
Y V HU\ TGLK:RX HZF TGRUK ? ] H KMRVTD LO
J+X HZF TGRUK ? ] H KMRVTBaSTBVb_RUKML iH4FIH K Y 5] H N i _VX HHN=P9K;O.DMA K Y8\H RUTÛR ] H KMRVTD LOQWX H
AK Y V H ]@KI] H KMRVTD L D RURU5]ZeVX H4FID ] H ] H KMRVTBa H K^] H VX H.FIDE?BH RU ?BHZY4K^V DEF:YÏ KMRVTGL5dTGL
VX H ] H
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Y V HU\ TY RUK ?G?BH NVX HHN=P9K;OÞO@K;ON
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DMA
VX H R
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LN
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A] DEF VX H4> ]]X H LTG YH K^VTD L ÿ
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G
Reactant(s)
Product(s) Transition state (TS 1 )
Transition state (TS 2 )
Delta G 1
Delta G 2
Delta G
Reaction coordinate Intermediates
¦TBdE5] H lMl ÿQD V H L/VTGK ?qH L H ]dM_NTGK^dM]K F:YAD ]KVbh D^bY V HU\ ] H KMRVTD LO
dEK Y R D L Y VKML/VUeKMLNWÚTY VX H K igY8DE?5V H V HZFI\H ]K^V5] H TGL¡ HZ?aSTGLO'WX H ]K^V H R D L Y VKML/V
N5] DM\gY TA VX H KMRVTBa^K^VTD L H L H ]dM_TGLR] H K Y8HZY O LgdE5] H
lMl
egKI] H KMRVTD LR DD ]NTGLK^V H
DMA KVbh D^bY V HU\ ] H KMRVTD LTYY X D hLK Y KML H~ K FI\g?BH O
>@Y h H RUKML Y8HUH e Ú¥Û
TY+? K^]d H ]VXKML Ú¥Û»0Ú TY+H~S\ ] HZYY8H NK Y [
HZ?VK OWXTY+FIH KML Y
VXK^VVX H g] Y V Y V HU\ TY VX H4D L H hTBVXVX H XTBdEX HZY VKMRVTBa^K^VTD L H L H ]dM_ D ]@XTBdEX HZY V
Ú¥Û=Y TGLR H(Ú¥Û TY NTB] H RV ?_ \ ] DM\D ]VTD LK ? V D Ø egKMLNhT?G? VX H ] HUAD ] HiH VX H ]K^V H
N H V H ] F TGLTGL5d Y V HU\ TGLVX H ] H KMRVTD LO
WX H ]K^V H N H V H ] F TGLTGL5d Y V HU\ TY Y K ?G?_:VX H.Y V HU\ hX H ] H RUK^] iD RUK^VTD L Y K^] H4AD ] FIH NO
Q?BH
RV8]
DM\
XT
?
TGR@KMNNTBVT
D
L]
H
KMRVT D L Y TY
KML H~
K
FI\g?BHDMA
K:R
?K YYDMA
] H KMRVT
D L Y
TGLhXTGRX
VX H ]K^V H N H V H ] F TGLTGL5d Y V HU\ TY VX H RUK^] iD RUK^VTD L AD ] F K^VTD LO > VVXTY+\D TGL/VUe5h H RUKML
Y8HUH K Y TF T?K^]TBVb_ iH Vbh HUH L] H KMRVTBaSTBVb_TGL HZ?BH RV8] DM\ XT?TGR KMNNTBVTD L] H KMRVTD L Y KMLN
\ X D V DHZ?BH RV8] D L Y8\H RV8] DEY R DM\ _MO L \ X D V DHZ?BH RV8] D L Y8\H RV8] DEY R DM\ _Megh H L HUH NK:R H ]VKMTGL
K FID L/V H L H ]dM_V D TD LTB½ H K FIDE?BH RU ?BHD ]KMLK^V DEF V D d H VK \ ] D NRV+hTBVXK
\DEY TBVTBa H RXK^]d H OWX H4Y VK^] Y TBdEL ;ä^+i _VX H TD LTB½ H N H VX H L H4FIDE?BH RU ?BH TGLgdE5] H l j
N H L D V HZY VX H TD LTB½ H NRUK^] iD LK^V DEF O cH RUKM Y8H.DMA VX H4HZ?BH RV8] D L H dEK^VTBaSTBVb_ DMA VX H
TD LTB½ H NRUK^] iD LK^V DEF egTBV \ ?G?GY VX Hå)HZ?BH RV8] D L Y V D h+K^]N Y TBV Y8HZ?BA KMLNR] H K^V HZY KML
HZ?BH RV8] D L \ KMTB]hXTGRXT Y?BD RUK ?TB½ H NK^VVX H4Y K FIH RUK^] iD LK^V DEF OQWXTY+HZ?BH RV8] D L
V8]KML Y8AH ] F K^ H VX H4D VX H ]RUK^] iD LK^V DEFÑ\DEY TBVTBa HZ?_RXK^]d H NOTB H hTY8H TGL
HZ?BH RV8] DM\ XT?TGR \ ] D V D LKMNNTBVTD L Y eh H L HUH NK:R H ]VKMTGLKMRVTBa^K^VTD L H L H ]dM_TGL D ]N H ]V D
d H V@KIRUK^] iD RUK^VTD LTGL/V H ] FIH NTGK^V H hTBVXK \DEY TBVTBa H RXK^]d H O L iD VXRUK Y8HZY eVX H ] H TY
K AD ] F K^VTD L DMA¦Y8\H RUTHZY hTBVX \DEY TBVTBa H RXK^]d HZY eKMLNVX H V D VK ? L F.iH ] DMA
L D L
iD
LNTGL5dKMLN iD
LNTGL5d HZ?BH
RV8]
D L Y TY
VX H4Y
K
FIH
O LgdE5]
H l je
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VX H L
H
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Y8H NK Y KML H~ K FI\g?BH O
H
H H
H
+ H + Slow
H H
H H
H
+
H
H H
H
+
H
H H
H
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¦TBdE5] H l j ÿ K^V H N H V H ] F TGLTGL5d \ ] D V D LK^VTD LKMLNR D ] H TD LTB½ZK^VTD L DMA¦H VX H L H O
a H LVX D 5dEX H L H ]dETHZY TGL/a DE?a H NTGL]K^V H N H V H ] F TGLTGL5d \ ] D V D LK^VTD L Y KMLNR D ] H
TD LTB½ZK^VTD L Y K^] H L D VR DEFI\ K^]K ig?BH eVX HHK6N%OGJÞ TGLK Y8H ]THZYDMA¦FIDE?BH RU ?BHZY K^] H
R DEFI\ K^]K ig?BH O LVXTY VX HZY TY e5VXTYY8H ]THZY hT?G? R D L Y TY V DMA K ? H L HZY KMLNK ?_SL HZY O
>@Y hT?G?iH4Y8HUH LeVX H R D ] H TD LTB½ZK^VTD L H L H ]dETHZY K^] H Y8H NTGL Y V H KMN DMA VX H a^K ?BH LR H
H L H ]dETHZY OQWX H ] H K Y8D L AD ]VXTY TY VX H R DEFI\g?BH~ TBVb_ DMA VX H a^K ?BH LR H4Y8\H RV8]KSO LK
X/_SN5] D RUK^] iD LeSVX H ] H K^] H4FIDE?BH RU ?K^] D ] i TBVK ?GY hTBVXNTÛ¤ H ] H L/V H L H ]dETHZY O;WX HZY8H hT?G?
K ?G? K \\H K^]TGLVX H.Y8\H RV8] F KMLNdETBa H.F KML/_ \H K^ Y hXTGRXK^] H ] HZ?K^VTBa HZ?_NT)LRU ?V
V D KMLK ?_½ H O VTYFID ] H K \\ ] DM\ ]TGK^V H V D R D ] H TD LTB½ H VX H4FIDE?BH RU ?BHZY O LVXTY RUK Y8H eTBV
TY ] HZFID a H N HZ?BH RV8] D L YA] DEF VX H l
YD ] i TBVK ? TGLVX H RUK^] iD LK^V DEF:Y OWX H ] HZY ?V DMA
VXTY TY K Y8\H RV8] F hTBVX AH h H ]h HZ?G? N H L H N \H K^ Y.VX H L F.iH ] DMA\H K^ Y TY
H TBa^K ?BH L/VhTBVXVX H L F.iH ] DMA RX HZF TGRUK ?G?_TGL H TBa^K ?BH L/VRUK^] iD LK^V DEF:YÏ OWX HZY8H
Y8\H RV8] F:Y K^] H.FID ] HH K Y _V D KMLK ?_½ H egKMLNVX H ] HUAD ] H VX H.FIDE?BH RU ?BHZY K^] H R D ] H
TD LTB½ H NTGL Y V H KMN DMA a^K ?BH LR H TD LTB½ H NO LVXTY RUK Y8H egh H K^] H L D VTGL/V H ] HZY V H NTGLVX H
H L H ]dM_ ?BH a HZ?GYDMA VX H NTÛ¤ H ] H L/Va^K ?BH LR HD ] i TBVK ?GY O'XK^Vh H h+KML/VUeTY V D Y8H VX H
H L H ]dETHZYA] DEF VX H4H~S\H ]TFIH L/VK ?Y8\H RV8] F TGL D ]N H ]V D dEKMTGLTGL Y TBdEX/VTGLRX HZF TGRUK ?
] H
KMRVTBaSTBVb_MO
LKMNNTBVT
D
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L/V
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TGLVX H4FIDE?BH
RU
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TGLVX
H
\ X D V D TD LTB½ZK^VTD L \ ] D R HZYY K^] H TGL/a HZY VTBdEK^V H NOWX HZY8H\ ] D R HZYY8HZY e5hXTGRXK^] H4A5]VX H ]
N HZY R]TiH NTGLRXK \ V H ] ¸egXKZa H V D:iH VK^ H LTGL/V D KMRUR D L/VTGLVX H gV8VTGL5d \ ] D R H N5] H
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