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. Author manuscript; available in PMC: 2015 Jun 23.
Published in final edited form as: J Am Chem Soc. 2005 Oct 26;127(42):14879–14886. doi: 10.1021/ja054170t

Table 2.

Unsigned Differences of the Internal Coordinates of Transition State (TS) Structure Compared with Those of the Reactant (R) and Product (P) Structuresa

label bond or angle TS vs R TS vs P λ
r 1 C4N–H4 0.175 (0.579)
r 2 H4′–C4N 0.004 0.010 0.29
r 3 C3N–C4N 0.033 0.043 0.43
r 4 C5N–C4N 0.032 0.051 0.39
θ 1 H4′–C4N–H4 10.1 (19.8)
θ 2 C3N–C4N–H4 1.1 (8.3)
θ 3 C5N–C4N–H4 3.3 (3.5)
θ 4 H4′–C4N–C3N 5.1 4.9 0.51
θ 5 C3N–C4N–C5N 1.8 4.1 0.31
θ 6 C5N–C4N–H4′ 5.3 5.5 0.49
r 5 C6–H4 (0.851) 0.294
r 6 N5–C6 0.049 0.085 0.37
r 7 C7–C6 0.024 0.013 0.65
r 8 C9–C6 0.027 0.014 0.66
θ 7 N5–C6–H4 (12.3) 4.3
θ 8 C7–C6–H4 (21.2) 7.9
θ 9 C9–C6–H4 (0.4) 6.8
θ 10 N5–C6–C7 4.6 5.2 0.47
θ 11 C7–C6–C9 3.7 3.9 0.49
θ 12 C9–C6–N5 4.3 6.2 0.41
θ 13 C4N–H–C6 (3.7) (8.5)
average bond length differenceb 0.049c 0.073d 0.40
average bond angle differenceb 4.2e 5.8f 0.42
C4N (bond length)g 0.023 0.035 0.40
C4N (bond angle)g 4.1 4.8 0.46
C6 (bond length)h 0.034 0.037 0.48
C6 (bond angle)h 4.2 5.1 0.45
a

Bond distances are in Å, and bond angles are in degrees.

b

Numbers in parentheses are not included in these averages for a given column, as explained further in footnotes c–f.

c

Average over ri (i = 1–4, 6–8).

d

Average over ri (i = 2–4, 5–8).

e

Average over θi (i = 1–6, 10–12).

f

Average over θi (i = 4–6, 7–12).

g

Same as footnote c, d, e,or f, except it only counts bond lengths and angles involving C4N in both R and P. For example, the r1 bond is broken in P, and thus r1 is not included in the C4N bond length row.

h

Same as footnote c, d, e, or f, except it only counts bond lengths and angles involving C6 in both R and P.