Table 4 Mean HBS at the M06-2X/6-31 + G(d) level of theory

From: Hydrogen bonding patterns and cooperativity in polyproline II helical bundles

HBS (kcal·mol−1)

Interface

Number of Layers

2

3

4

5

CO···HN

ab

−5.86

−7.58

−8.24

−8.56

bc

-

−7.40

−10.03

−11.06

cd

-

-

−8.27

−11.27

CO···HαCα

Front

ab

−2.40

−2.86

−3.05

−3.15

bc

-

−2.96

−3.67

−3.97

cd

-

-

−3.19

−3.98

CO···HN + HαCα

Front

ab

−6.72 [−8.27]

−8.49 [−10.44]

−9.20 [−11.30]

−9.55 [−11.71]

bc

-

−8.19 [−10.35]

−10.94 [−13.69]

−12.07 [−15.03]

cd

-

-

−9.17 [-11.46]

−12.31 [−15.25]

CO···HαCα

Inner

ab

−0.57

−0.85

−0.96

−1.01

bc

-

−0.60

−0.98

−1.14

cd

-

-

−0.77

−1.18

CO···HαCα

Outer

ab

−0.27

−0.19

−0.16

−0.14

bc

-

−0.26

−0.29

−0.33

cd

-

-

−0.41

−0.56

CO···(Hα)2Cα Inner+Outer

ab

−2.87 [-0.84]

−3.61 [−1.04]

−3.93 [−1.11]

−4.12 [−1.16]

bc

-

−3.58 [−0.86]

−4.89 [−1.27]

−5.53 [−1.47]

cd

-

-

−4.22 [−1.18]

−5.92 [−1.75]

Sum

ab

−35.49 (76%)

−44.80 (87%)

−48.58 (93%)

−50.54 (96%)

bc

-

−43.51 (83%)

−58.43 (99%)

−64.86 (109%)

cd

-

-

−49.36 (93%)

−67.00 (113%)

  1. HBS between the molecules that reproduce each CO···HN (formamide), CO···HαCα front (acetaldehyde), CO···HN + HαCα front (acetamide), CO···HαCα inner (acetaldehyde), CO···HαCα outer (N-methylformamide) and CO···(Hα)2Cα inner+outer (N-(2-oxoethyl)formamide) H-bond/interaction, and summation of all the contributions in the different interfaces. The summation of the contributions is the HBS resulting from the four CO···HN + HαCα front H-bonds and the three CO···(Hα)2Cα inner+outer H-bonds/interactions. Shown in parentheses is the percentage of total HBS between full-length PPII helices that each value of the summation of the different contributions represents. Shown in brackets is the HBS summation of the isolated CO···HN and CO···HαCα front H-bonds (for the CO···HN + HαCα front H-bonds) and of the isolated CO···HαCα inner H-bonds and CO···HαCα outer interactions (for the CO···(Hα)2Cα inner+outer H-bonds/interactions).