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1. Tracing the origin of the amide issue

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One easy fix of the problem is using simple targets, whose torsion profiles have parabolic shape near the minimum (planar geometry at the minimum). + Expecting that this experiment to be one proof of the need for using simple-as-possible torsiondrive targets in general torsion parameter fitting.

2. Filtering out non-planar

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structures at the minimum geometry

Several schemes to filter non-planar molecules:

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(Since the 2nd generation torsion training set is too small to filter, i pulled Roche torsion set (1st generation) and filtered with various scheme. )

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  • Test set 1: (1) the simplest molecule, N-methyacetamide, (2) non-planar molecules filtered out in both scheme 2 and scheme 3;

  • Test set 2: all amide torsions in the 2nd generation training dataset;

  • Overall quality of fitting and test calculation:

v1.2.0

fb-fit2 (scheme 2)

fb-fit3 (scheme3)

fb-fit4 (scheme 4)

non-filtered

test cal 1

144.59

91.81

82.39

88.84 

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test cal 2

25.37

15.62

14.75

14.15

23.21

test cal 2-1 simple

7.10

6.21

7.49

8.29

11.04

test cal 2-2 complex

18.26

9.40

7.26

6.87

12.17

final X2 (fitting)

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1.31e+02 → 2.22e+01 

1.30e+02 → 1.73e+01

2.09e+02 → 3.01e+01

5.28e+02 → 6.90e+01

  • check performance of parameter set fitted to filtered (scheme 4) gen2 targets

(1) N-methylacetamide

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(2) Test set 1 (N-methyacetamide, non-planar molecules in the 1st gen. Roche torsion set)

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(3) Test set 2

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(All amide torsions in the 2nd gen. training set)

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(4) Check performance on non-planar molecules

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(5) Direct comparison of final parameters

F(θ) = k1*(1+cos(2θ-180)) + k2*(1+cosθ)

ID, SMIRKS

 Initial guess

fb-fit2

fb-fit3

fb-fit4

t69a [*:1]-[#7X3:2]-[#6X3$(*=[#8,#16,#7]):3]~[*:4]

k1 = 2.5

k1= 1.6793e+0

k1 = 1.3647e+0

k1 = 1.7786e+0

t70 [#1:1]-[#7X3:2]-[#6X3:3]=[#8,#16,#7:4]

k1 = 3.4592e+0

k2 = 1.3570e+0

(from 1.2.0)

k1 = 3.5662e-1

k2 =1.3542e+0

k1 = 2.4868e-1

K2 = 9.4280e-1

k1 = -1.3577e+0

k2 = 1.2663e+0

t70b [*:1]-[#7X3:2]-!@[#6X3:3](=[#8,#16,#7:4])-[#6,#1]

k1 = 2.5

k1 = 4.1692e+0

k1 = 4.4151e+0

k1 = 4.1071e+0

t70c [#1:1]-[#7X3:2]-!@[#6X3:3](=[#8,#16,#7:4])-[#6,#1]

k1 = 2.5

k2 = 2.0

k1 = 1.2406e+0

k2 = 9.0656e-1

k1 = 1.5283e+0

k2 = 7.3406e-1

k1 = 1.1159e+0

k2 = 7.6465e-1

t70d [*:1]-[#7X3:2]-!@[#6X3:3](=[#8,#16,#7:4])-[#7X3]

k1 = 2.5

k1= 1.3031e+0

k1 = 1.6149e+0

k1 = 1.1680e+0

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* About the counter-intuitive negative k1 value of t70, [#1:1]-[#7X3:2]-[#6X3:3]=[#8,#16,#7:4]

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Although the k1 value for t70a seems unphysical, the result below shows the plots got improved after the optimization. checked improvement for all of the four fitting targets.

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4. Conclusions

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* Fitting torsion parameters to simpler torsion targets (with less strong electrostatic interaction) might be needed for the next round fitting.