Table I. Force Constants and Reference Values in the QMFF for Amides A. Bond length
E = 2K
b
b - b02 + 3K
b
b - b0 3 + 4K
b
b - b0 4
b0 2K
b
3K
b
4K
b
bond Å
kcal mol-1 Å-2 kcal mol-1 Å-3
kcal mol-1 Å-4 C-O 1.19201124.2
-2568.6 C-N
1.3983 443.4
1415.3 C-H
1.0934 -780.5
896.3 C-N
1.4416403.9-676.4 650.0
H-N 1.0015
-1300.8 1908.3 C-C
1.5103 -522.3
490.0 H-C
1.0845 -851.3
1040.0 C-C
1.5297 -586.1
758.0
B. Bond angle
E = 2K
q
q - q0 2 + 3K
q
q - q0 3 + 4K
q
q - q0 4
q0 2K
q
3K
q
4K
q
angle degrees
kcal mol -1 rad-2 kcal mol-1 rad-3 kcal mol-1 rad-4
N-C-O 124.5
115.2 -41.0
-13.3 H-C-O
117.8 54.7
-26.8 0.0
H-C-N 110.4
62.1 -22.0
0.0 C-N-C
111.0 38.0
-8.0 -8.1
C-N-H 117.0
44.6 -9.7
0.0 C-N-H
113.9 54.7
-23.9 0.0
C-C-N 114.3
50.8 -12.6
-11.1 H-C-N
108.9 68.3
3.5 0.0
C-C-O 123.1
66.1 -20.5
0.2 C-C-N
116.9 46.9
-13.1 -10.4
H-N-H 112.9
46.7 -11.3
0.0 C-C-C
108.5 61.9
-11.3 -13.1
C-C-H 107.7
48.3 -34.3
0.0 C-N-C 111.6 47.2
-10.2 -10.1
C-C-N 100.6
62.0 -6.3
-12.7 N-C-N
122.5 123.9
-43.7 -28.9
C-N-C 122.0
90.8 -31.3
-21.1 H-C-H
107.7 51.5
-8.9 -10.8
H-C-C 110.8
52.7 -10.9
-11.3
C. Torsion angle
E = 1K
f
1 - cosf + 2K
f
1 - cos2f + 3K
f
1 - cos3f 1K
f
2K
f
3K
f
torsion kcal mol-1
kcal mol-1 kcal mol-1
O-C-N-C 0.830
3.723 -0.050
O-C-N-H -1.882
3.043 -0.373
H-C-N-C 0.334
2.584 -0.401
H-C-N-H -0.008
2.619 -0.090
C-C-N-C 0.020
-0.019 0.013
H-C-N-C 0.031
-0.037 -0.058
C-C-N-H -0.069
-0.011 -0.002
H-C-N-H -0.021
-0.113 -0.175
C-C-C-N 0.108
0.080 -0.287
H-C-C-N -0.025
0.031 -0.207
C-C-N-H -0.915
2.385 -0.238
C-C-C-O 0.063
0.042 0.080
H-C-C-O -0.258
0.002 0.053
C-C-C-N -0.053
0.056 -0.076
H-C-C-N 0.241
-0.013 -0.098
C-C-C-C 0.108
0.080 -0.287
C-C-C-H -0.025
0.031 -0.207
C-C-N-C -0.002
-0.010 0.001
H-C-N-C 0.058
0.051 -0.236
C-C-C-C 0.108
0.080 -0.287
C-C-C-N 0.108
0.080 -0.287
C-C-N-C -0.098
0.109 -0.088
C-C-N-H 0.078
0.108 0.104
N-C-C-O 0.128
0.174 0.129
N-C-C-N -0.127
0.180 -0.126
C-C-N-C -0.753
2.739 0.090
C-C-N-C -0.005
0.007 0.006
N-C-N-H -0.818
0.516 -1.233
O-C-N-C -0.452
1.390 -0.834
H-C-N-C 0.212
1.246 0.047
H-C-C-H -1.152
0.012 -0.179
D. Out-of-plane
E = 2K
c
c2
2K
c
out-of-plane kcal mol-1 rad-2
H-C-N-O 42.126
C-N-C-H 1.250
C-C-N-O 44.242
C-N-H-H 0.000
C-N-C-C 4.247
N-C-N-O 49.203
C-N-C-H 0.000
E. Van der Waals interaction
E = e [2rr9 - 3rr6] where r = [r
i
6 + r
j
6 2] 16 and e = e
i
ej 12 2 r
i
r
j
3r
i
6 + r
j
6 r
i
e
i
atom Å
kcal mol-1 H
1.098 0.013
O 3.535 0.267
C 3.308 0.120
N 4.070
0.106 H
2.995 0.020 C
4.010 0.054
F. Bond increment
E = 332.0 q
i
q
j
r
ij
; where q
i
=
d
ik
. Each d
ik
donates positive charge to the first atom listed and corresponding negative charge to the second atom.
d
ik
bond electrons
C–O 0.396
C–N 0.211
H–N 0.440
C–N 0.000
H–C 0.046 C–C 0.000
H–C 0.053
C–C 0.000
G. Bondbond