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. Author manuscript; available in PMC: 2015 Jun 30.
Published in final edited form as: J Comput Chem. 2014 May 20;35(17):1302–1316. doi: 10.1002/jcc.23628

Table 7.

Equilibrium isotope effects on nucleophile (2′-OH) deprotonation of the (A) native, (B) S3′, and (C) S5′ simplest models of RNA transphosphorylation in solution. All values are computed from the Bigeleisen equation.

Native (37°C) Equilibrium Isotope Effects in Solution (ratio of isotopic equilibrium constants)
Nucleophile (2′-OH) deprotonation
Electronic Struct. Theory 18ENuc 18ELea 18EO3′ 18EO1P 18EO2P


HF/3-21+G* 1.0245 1.0020 0.9985 0.9991 0.9999
B3LYP/6-31+G(d) 1.0210 1.0007 1.0012 0.9999 1.0008
M06-2X/6-31+G(d) 1.0214 1.0015 0.9975 1.0000 0.9998
B3LYP/6-311+G(d,p) 1.0220 1.0007 1.0013 0.9997 1.0011
M06-2X/6-311+G(d,p) 1.0222 1.0016 0.9977 0.9999 1.0001
MP2/6-311+G(d,p) 1.0218 1.0020 0.9984 1.0004 1.0003

(A)
S3′ (37°C) Equilibrium Isotope Effects in Solution (ratio of isotopic equilibrium constants)
Nucleophile (2′-OH) deprotonation
Electronic Struct. Theory 18ENuc 18ELea 34ES3′ 18EO1P 18EO2P


HF/3-21+G* 1.0266 1.0002 1.0000 1.0003 0.9995
B3LYP/6-31+G(d) 1.0196 1.0005 1.0003 1.0007 1.0006
M06-2X/6-31+G(d) 1.0244 1.0002 1.0009 1.0005 0.9998
B3LYP/6-311+G(d,p) 1.0208 1.0005 1.0003 1.0008 1.0006
M06-2X/6-311+G(d,p) 1.0255[a] 1.0003[a] 1.0009[a] 1.0005[a] 1.0000[a]
MP2/6-311+G(d,p) 1.0271 1.0001 1.0007 1.0004 1.0004

(B)
S5′ (37°C) Equilibrium Isotope Effects in Solution (ratio of isotopic equilibrium constants)
Nucleophile (2′-OH) deprotonation
Electronic Struct. Theory 18ENuc 34ELea 18EO3′ 18EO1P 18EO2P


HF/3-21+G* 1.0259 0.9997 1.0001 1.0002 1.0014
B3LYP/6-31+G(d) 1.0204 1.0002 1.0026 1.0011 1.0004
M06-2X/6-31+G(d) 1.0215 0.9994 1.0024 1.0005 1.0011
B3LYP/6-311+G(d,p) 1.0215 1.0002 1.0027 1.0012 1.0004
M06-2X/6-311+G(d,p) 1.0222 0.9993 1.0022 1.0004 1.0012
MP2/6-311+G(d,p) 1.0225 0.9999 1.0002 1.0004 1.0001

(C)
[a]

As in Table 2, the ground state after deprotonation is determined but along with very small value of non-reactive imaginary frequency.