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1. Issue with amide cic-trans preference

Cis-trans preference is expressed as a one-fold cosine function in torsion term. To properly describe cis-trans preference of N-methyl acetamide, the k2 value(spring constant of one-fold cosine function. f(theta)= k1*(1+cos(2*theta-180)) + k2*(1+cos(1*theta))) of t70c([#1:1]-[#7X3:2]-!@[#6X3:3](=[#8,#16,#7:4])-[#6,#1]) seems to be around 1.5 kcal/mol.

Initial guess of the k2 is 2.0kcal/mol, which seems a pretty reasonable value, but it decreases during the fitting to QM amide torsional energy profiles. (in fitting v1.3.0)

Torsion k2 parameter changes during the optimization

To figure out the origin of the decrease in the k2 value of t70c([#1:1]-[#7X3:2]-!@[#6X3:3](=[#8,#16,#7:4])-[#6,#1]), gradient contribution at the initial guess has been plotted.

Negative gradient w.r.t the spring constant of one-fold cosine of t70c

QM energy profiles of the targets with the most negative gradient contribution w.r.t the t70c k2 value show the energy gap between cis and trans conformers are much smaller(close to zero) than other amides. Therefore, separating those from t70c might be able to allow t70c to have large enough k2 value, so that it can keep the t70c term from losing its cis trans preference. So i came up with the new child parameter of t70, t70e and ran test fitting to see the impact of the additional parameters.

(2) RC6

  • param modification:

    • t70e [#1:1]-[#7X3:2](-[#6X3](-@[#8,#16]))-!@[#6X3:3](=[#8,#16,#7:4])-[#6,#1] (between t70c and t70d)

    • t70f [#1:1]-[#7X3:2]-!@[#6X3:3](=[#8,#16,#7:4])-[#7X3] (after t70d)

  • resulting parameters:

 

k1*(1+cos(2*theta-180)) + k2*(1+cos(1*theta))

t70c

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

 k1=2.47e+00, k2=1.55e+00

t70e

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

k1=2.45e+00, k2=-6.24e-01

t70d

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

k1=5.81e-01

t70f

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

k1=1.42e+00 , k2=1.10e-01

  • Separation of the first two rotations(no significant cis-trans preference) and the last molecule into different parameter shows improvement in cis-trans preference predictions.


* Diverse functional groups in the amide nitrogen side

SMILES

Trans (kcal/mol)

Cis (kcal/mol)

O-C-N (trans)

O ~ H (trans)

C-N bond order (trans)

Delta (kcal/mol)

scan1

CC(=O)NC1=CNC=C1

-262467.5167

-262465.4915

122.91

2.40

1.230

2.0252

scan2

CC(=O)NC1=CC=CN1

-262470.7010

-262466.8450

122.65

2.06

1.245

3.8560

scan3

CC(=O)NC1=COC=C1

-274927.4817

-274925.8385

123.33

2.40

1.209

1.6432

scan4

CC(=O)NC1=CC=CO1

-274929.9734

-274929.1048

122.37

2.50

1.181

0.8685

scan5

CC(=O)NC1=CSC=C1

-477579.3354

-477577.5015

123.72

2.30

1.211

1.8339

scan6

CC(=O)NC1=CC=CS1

-477577.3808

-477577.6158

123.03

2.34

1.195

-0.2350

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