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!!!!!  VERIFICATION CHECK: vc-dimer-continuity-c1  !!!!!
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Description: Determines whether a model has a continuous energy and first
             derivative, i.e. belongs to the C^1 continuity class, for all
             possible dimers. For a model supporting N species, there are N +
             N!/(2(N-2)! distinct dimers for all possible species combinations.
             (For example if N=3, there are 3+3!/2=6 dimers.  If the species are
             A,B,C, the 6 dimers are AA, BB, CC, AB, AC, BC.) For each dimer,
             the equilibrium separation and cutoff are determined. The
             continuity across the cutoff is assessed.  Then an analysis is
             performed to detect any discontinuities from half the equilibrium
             distance to the cutoff. Although the verification check only
             requires C^1 continuity to pass, continuity up to 3rd order is
             checked and reported.

Author: Ellad Tadmor

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Results for KIM Model      : Pair_Lennard_Jones_Shifted_Bernardes_HighCutoff_Ne__MO_966254629593_002
Supported species          : Ne

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DIMER Ne--Ne
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E n e r g y  E x t r e m a
                                   distance            energy       #iter   #fn-calls    warnings
Equilibrium separation:      3.07554601e+00   -3.09968725e-03          34          68    none
Cutoff separation:           1.60000000e+01   -4.30351394e-16          30          32    none

C u t o f f  S m o o t h n e s s

                       value   continuous
Energy       -4.30351394e-16          yes
1st-Deriv     1.17277453e-07          yes
2nd-Deriv    -5.13066667e-08          yes
3rd-Deriv     2.56515285e-08          yes

C o n t i n u i t y

Checking continuity for r = [1.53777,16.00000] at 1447 points (Delta r = 0.01000)

Local edge detection based on a normalized 5th-order local difference formula T^5
is used to determine the presence of discontinuities. The tolernace is |T^5|>1.00000.
(For details see Anne Gelb and Eitan Tadmor, J. Sci. Comp., 28:279-306, 2006.)


Checking Energy (energy vs. distance in file "dimer-energy-NeNe.dat")
... No discontinuities found.

Checking 1st-Deriv (1st-deriv vs. distance in file "dimer-energy-deriv-1-NeNe.dat")
... No discontinuities found.

Checking 2nd-Deriv (2nd-deriv vs. distance in file "dimer-energy-deriv-2-NeNe.dat")
... No discontinuities found.

Checking 3rd-Deriv (3rd-deriv vs. distance in file "dimer-energy-deriv-3-NeNe.dat")
... No discontinuities found.

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SUMMARY of Model Continuity Results Across All Dimers:

             continuous
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Energy              yes
1st-Deriv           yes
2nd-Deriv           yes
3rd-Deriv           yes

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Continuity must be C^1 or higher to pass this verification check.

Grade: P

Comment: The model is C^3 continuous. This means that the model has continuous energy and continuous derivatives at least up to order 3. (Derivatives beyond this order were not tested.)