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!! |
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!! Copyright (c) 2007 The University of Notre Dame. All Rights Reserved. |
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!! |
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!! The University of Notre Dame grants you ("Licensee") a |
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!! non-exclusive, royalty free, license to use, modify and |
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!! redistribute this software in source and binary code form, provided |
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!! that the following conditions are met: |
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!! |
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!! 1. Acknowledgement of the program authors must be made in any |
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!! publication of scientific results based in part on use of the |
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!! program. An acceptable form of acknowledgement is citation of |
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!! the article in which the program was described (Matthew |
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!! A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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!! J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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!! Parallel Simulation Engine for Molecular Dynamics," |
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!! J. Comput. Chem. 26, pp. 252-271 (2005)) |
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!! |
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!! 2. Redistributions of source code must retain the above copyright |
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!! notice, this list of conditions and the following disclaimer. |
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!! |
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!! 3. Redistributions in binary form must reproduce the above copyright |
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!! notice, this list of conditions and the following disclaimer in the |
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!! documentation and/or other materials provided with the |
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!! distribution. |
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!! |
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!! This software is provided "AS IS," without a warranty of any |
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!! kind. All express or implied conditions, representations and |
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!! warranties, including any implied warranty of merchantability, |
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!! fitness for a particular purpose or non-infringement, are hereby |
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!! excluded. The University of Notre Dame and its licensors shall not |
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!! be liable for any damages suffered by licensee as a result of |
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!! using, modifying or distributing the software or its |
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!! derivatives. In no event will the University of Notre Dame or its |
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!! licensors be liable for any lost revenue, profit or data, or for |
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!! direct, indirect, special, consequential, incidental or punitive |
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!! damages, however caused and regardless of the theory of liability, |
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!! arising out of the use of or inability to use software, even if the |
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!! University of Notre Dame has been advised of the possibility of |
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!! such damages. |
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!! |
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|
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|
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!! Calculates Metal-Non Metal interactions. |
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!! @author Charles F. Vardeman II |
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!! @version $Id: MetalNonMetal.F90,v 1.7 2008-02-14 21:37:05 chuckv Exp $, $Date: 2008-02-14 21:37:05 $, $Name: not supported by cvs2svn $, $Revision: 1.7 $ |
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|
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|
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module MetalNonMetal |
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use definitions |
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use atype_module |
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use vector_class |
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use simulation |
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use status |
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use fForceOptions |
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#ifdef IS_MPI |
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use mpiSimulation |
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#endif |
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use force_globals |
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|
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implicit none |
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PRIVATE |
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#define __FORTRAN90 |
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#include "UseTheForce/DarkSide/fInteractionMap.h" |
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#include "UseTheForce/DarkSide/fMnMInteractions.h" |
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|
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logical, save :: useGeometricDistanceMixing = .false. |
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logical, save :: haveInteractionLookup = .false. |
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|
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real(kind=DP), save :: defaultCutoff = 0.0_DP |
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|
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real(kind=DP), parameter :: sqrt3_2 = sqrt(3.0_dp)/2.0_dp |
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real(kind=DP), parameter :: threefourth = 3.0_dp/4.0_dp |
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real(kind=DP), parameter :: sqrt3_4 = sqrt(3.0_dp)/4.0_dp |
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|
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logical, save :: defaultShiftPot = .false. |
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logical, save :: defaultShiftFrc = .false. |
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logical, save :: haveDefaultCutoff = .false. |
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|
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type :: MnMinteraction |
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integer :: metal_atid |
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integer :: nonmetal_atid |
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integer :: interaction_type |
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real(kind=dp) :: R0 |
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real(kind=dp) :: D0 |
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real(kind=dp) :: beta0 |
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real(kind=dp) :: betaH |
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real(kind=dp) :: alpha |
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real(kind=dp) :: gamma |
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real(kind=dp) :: sigma |
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real(kind=dp) :: epsilon |
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real(kind=dp) :: rCut = 0.0_dp |
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logical :: rCutWasSet = .false. |
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logical :: shiftedPot = .false. |
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logical :: shiftedFrc = .false. |
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end type MnMinteraction |
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|
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type :: MnMinteractionMap |
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PRIVATE |
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integer :: initialCapacity = 10 |
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integer :: capacityIncrement = 0 |
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integer :: interactionCount = 0 |
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type(MnMinteraction), pointer :: interactions(:) => null() |
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end type MnMinteractionMap |
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|
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type (MnMInteractionMap), pointer :: MnM_Map |
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|
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integer, allocatable, dimension(:,:) :: MnMinteractionLookup |
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|
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public :: setMnMDefaultCutoff |
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public :: addInteraction |
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public :: deleteInteractions |
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public :: MNMtype |
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public :: do_mnm_pair |
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|
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contains |
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|
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|
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subroutine do_mnm_pair(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, Fpair, & |
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Pot, A, F,t, Do_pot) |
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integer, intent(in) :: atom1, atom2 |
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integer :: atid1, atid2, ljt1, ljt2 |
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real( kind = dp ), intent(in) :: rij, r2, rcut |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3,nLocal) :: f |
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real (kind=dp), intent(in), dimension(9,nLocal) :: A |
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real (kind=dp), intent(inout), dimension(3,nLocal) :: t |
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real( kind = dp ), intent(in), dimension(3) :: d |
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real( kind = dp ), intent(inout), dimension(3) :: fpair |
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logical, intent(in) :: do_pot |
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|
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integer :: interaction_id |
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integer :: interaction_type |
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|
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#ifdef IS_MPI |
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atid1 = atid_Row(atom1) |
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atid2 = atid_Col(atom2) |
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#else |
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atid1 = atid(atom1) |
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atid2 = atid(atom2) |
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#endif |
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|
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if(.not.haveInteractionLookup) then |
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call createInteractionLookup(MnM_MAP) |
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haveInteractionLookup =.true. |
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end if |
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|
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interaction_id = MnMinteractionLookup(atid1, atid2) |
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interaction_type = MnM_Map%interactions(interaction_id)%interaction_type |
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|
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select case (interaction_type) |
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case (MNM_LENNARDJONES) |
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call calc_mnm_lennardjones(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, & |
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Fpair, Pot, F, Do_pot, interaction_id) |
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case(MNM_REPULSIVEMORSE, MNM_SHIFTEDMORSE) |
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call calc_mnm_morse(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, Fpair, & |
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Pot, F, Do_pot, interaction_id, interaction_type) |
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case(MNM_MAW) |
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call calc_mnm_maw(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, Fpair, & |
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Pot,A, F,t, Do_pot, interaction_id) |
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end select |
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|
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end subroutine do_mnm_pair |
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|
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subroutine calc_mnm_lennardjones(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, & |
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Fpair, Pot, F, Do_pot, interaction_id) |
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|
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integer, intent(in) :: atom1, atom2 |
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real( kind = dp ), intent(in) :: rij, r2, rcut |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3,nLocal) :: f |
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real( kind = dp ), intent(in), dimension(3) :: d |
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real( kind = dp ), intent(inout), dimension(3) :: fpair |
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logical, intent(in) :: do_pot |
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integer, intent(in) :: interaction_id |
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|
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! local Variables |
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real( kind = dp ) :: drdx, drdy, drdz |
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real( kind = dp ) :: fx, fy, fz |
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real( kind = dp ) :: myPot, myPotC, myDeriv, myDerivC, ros, rcos |
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real( kind = dp ) :: pot_temp, dudr |
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real( kind = dp ) :: sigmai |
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real( kind = dp ) :: epsilon |
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logical :: isSoftCore, shiftedPot, shiftedFrc |
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integer :: id1, id2, localError |
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|
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sigmai = 1.0_dp / MnM_Map%interactions(interaction_id)%sigma |
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epsilon = MnM_Map%interactions(interaction_id)%epsilon |
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shiftedPot = MnM_Map%interactions(interaction_id)%shiftedPot |
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shiftedFrc = MnM_Map%interactions(interaction_id)%shiftedFrc |
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|
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ros = rij * sigmai |
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|
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call getLJfunc(ros, myPot, myDeriv) |
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|
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if (shiftedPot) then |
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rcos = rcut * sigmai |
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call getLJfunc(rcos, myPotC, myDerivC) |
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myDerivC = 0.0_dp |
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elseif (shiftedFrc) then |
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rcos = rcut * sigmai |
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call getLJfunc(rcos, myPotC, myDerivC) |
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myPotC = myPotC + myDerivC * (rij - rcut) * sigmai |
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else |
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myPotC = 0.0_dp |
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myDerivC = 0.0_dp |
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endif |
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|
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pot_temp = epsilon * (myPot - myPotC) |
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vpair = vpair + pot_temp |
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dudr = sw * epsilon * (myDeriv - myDerivC) * sigmai |
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|
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drdx = d(1) / rij |
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drdy = d(2) / rij |
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drdz = d(3) / rij |
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|
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fx = dudr * drdx |
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fy = dudr * drdy |
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fz = dudr * drdz |
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|
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#ifdef IS_MPI |
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if (do_pot) then |
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pot_Row(VDW_POT,atom1) = pot_Row(VDW_POT,atom1) + sw*pot_temp*0.5 |
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pot_Col(VDW_POT,atom2) = pot_Col(VDW_POT,atom2) + sw*pot_temp*0.5 |
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endif |
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|
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f_Row(1,atom1) = f_Row(1,atom1) + fx |
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f_Row(2,atom1) = f_Row(2,atom1) + fy |
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f_Row(3,atom1) = f_Row(3,atom1) + fz |
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|
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f_Col(1,atom2) = f_Col(1,atom2) - fx |
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f_Col(2,atom2) = f_Col(2,atom2) - fy |
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f_Col(3,atom2) = f_Col(3,atom2) - fz |
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|
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#else |
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if (do_pot) pot = pot + sw*pot_temp |
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|
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f(1,atom1) = f(1,atom1) + fx |
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f(2,atom1) = f(2,atom1) + fy |
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f(3,atom1) = f(3,atom1) + fz |
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|
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f(1,atom2) = f(1,atom2) - fx |
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f(2,atom2) = f(2,atom2) - fy |
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f(3,atom2) = f(3,atom2) - fz |
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#endif |
245 |
|
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#ifdef IS_MPI |
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id1 = AtomRowToGlobal(atom1) |
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id2 = AtomColToGlobal(atom2) |
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#else |
250 |
id1 = atom1 |
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id2 = atom2 |
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#endif |
253 |
|
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if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
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|
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fpair(1) = fpair(1) + fx |
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fpair(2) = fpair(2) + fy |
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fpair(3) = fpair(3) + fz |
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|
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endif |
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return |
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end subroutine calc_mnm_lennardjones |
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|
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subroutine calc_mnm_morse(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, Fpair, & |
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Pot, f, Do_pot, interaction_id, interaction_type) |
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integer, intent(in) :: atom1, atom2 |
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real( kind = dp ), intent(in) :: rij, r2, rcut |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3,nLocal) :: f |
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real( kind = dp ), intent(in), dimension(3) :: d |
271 |
real( kind = dp ), intent(inout), dimension(3) :: fpair |
272 |
logical, intent(in) :: do_pot |
273 |
integer, intent(in) :: interaction_id, interaction_type |
274 |
logical :: shiftedPot, shiftedFrc |
275 |
|
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! Local Variables |
277 |
real(kind=dp) :: Beta0 |
278 |
real(kind=dp) :: R0 |
279 |
real(kind=dp) :: D0 |
280 |
real(kind=dp) :: expt |
281 |
real(kind=dp) :: expt2 |
282 |
real(kind=dp) :: expfnc |
283 |
real(kind=dp) :: expfnc2 |
284 |
real(kind=dp) :: D_expt |
285 |
real(kind=dp) :: D_expt2 |
286 |
real(kind=dp) :: rcos |
287 |
real(kind=dp) :: exptC |
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real(kind=dp) :: expt2C |
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real(kind=dp) :: expfncC |
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real(kind=dp) :: expfnc2C |
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real(kind=dp) :: D_expt2C |
292 |
real(kind=dp) :: D_exptC |
293 |
|
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real(kind=dp) :: myPot |
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real(kind=dp) :: myPotC |
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real(kind=dp) :: myDeriv |
297 |
real(kind=dp) :: myDerivC |
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real(kind=dp) :: pot_temp |
299 |
real(kind=dp) :: fx,fy,fz |
300 |
real(kind=dp) :: drdx,drdy,drdz |
301 |
real(kind=dp) :: dudr |
302 |
integer :: id1,id2 |
303 |
|
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|
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D0 = MnM_Map%interactions(interaction_id)%D0 |
306 |
R0 = MnM_Map%interactions(interaction_id)%r0 |
307 |
Beta0 = MnM_Map%interactions(interaction_id)%Beta0 |
308 |
shiftedPot = MnM_Map%interactions(interaction_id)%shiftedPot |
309 |
shiftedFrc = MnM_Map%interactions(interaction_id)%shiftedFrc |
310 |
|
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! V(r) = D_e exp(-a(r-re)(exp(-a(r-re))-2) |
312 |
|
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expt = -beta0*(rij - R0) |
314 |
expfnc = exp(expt) |
315 |
expfnc2 = expfnc*expfnc |
316 |
|
317 |
if (shiftedPot .or. shiftedFrc) then |
318 |
exptC = -beta0*(rcut - R0) |
319 |
expfncC = exp(exptC) |
320 |
expfnc2C = expfncC*expfncC |
321 |
endif |
322 |
|
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select case (interaction_type) |
324 |
case (MNM_SHIFTEDMORSE) |
325 |
|
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myPot = D0 * (expfnc2 - 2.0_dp * expfnc) |
327 |
myDeriv = 2.0*D0*beta0*(expfnc - expfnc2) |
328 |
|
329 |
if (shiftedPot) then |
330 |
myPotC = D0 * (expfnc2C - 2.0_dp * expfncC) |
331 |
myDerivC = 0.0_dp |
332 |
elseif (shiftedFrc) then |
333 |
myPotC = D0 * (expfnc2C - 2.0_dp * expfncC) |
334 |
myDerivC = 2.0*D0*beta0*(expfnc2C - expfnc2C) |
335 |
myPotC = myPotC + myDerivC * (rij - rcut) |
336 |
else |
337 |
myPotC = 0.0_dp |
338 |
myDerivC = 0.0_dp |
339 |
endif |
340 |
|
341 |
case (MNM_REPULSIVEMORSE) |
342 |
|
343 |
myPot = D0 * expfnc2 |
344 |
myDeriv = -2.0_dp * D0 * beta0 * expfnc2 |
345 |
|
346 |
if (shiftedPot) then |
347 |
myPotC = D0 * expfnc2C |
348 |
myDerivC = 0.0_dp |
349 |
elseif (shiftedFrc) then |
350 |
myPotC = D0 * expfnc2C |
351 |
myDerivC = -2.0_dp * D0* beta0 * expfnc2C |
352 |
myPotC = myPotC + myDerivC * (rij - rcut) |
353 |
else |
354 |
myPotC = 0.0_dp |
355 |
myDerivC = 0.0_dp |
356 |
endif |
357 |
end select |
358 |
|
359 |
pot_temp = (myPot - myPotC) |
360 |
vpair = vpair + pot_temp |
361 |
dudr = sw * (myDeriv - myDerivC) |
362 |
|
363 |
drdx = d(1) / rij |
364 |
drdy = d(2) / rij |
365 |
drdz = d(3) / rij |
366 |
|
367 |
fx = dudr * drdx |
368 |
fy = dudr * drdy |
369 |
fz = dudr * drdz |
370 |
|
371 |
#ifdef IS_MPI |
372 |
if (do_pot) then |
373 |
pot_Row(VDW_POT,atom1) = pot_Row(VDW_POT,atom1) + sw*pot_temp*0.5 |
374 |
pot_Col(VDW_POT,atom2) = pot_Col(VDW_POT,atom2) + sw*pot_temp*0.5 |
375 |
endif |
376 |
|
377 |
f_Row(1,atom1) = f_Row(1,atom1) + fx |
378 |
f_Row(2,atom1) = f_Row(2,atom1) + fy |
379 |
f_Row(3,atom1) = f_Row(3,atom1) + fz |
380 |
|
381 |
f_Col(1,atom2) = f_Col(1,atom2) - fx |
382 |
f_Col(2,atom2) = f_Col(2,atom2) - fy |
383 |
f_Col(3,atom2) = f_Col(3,atom2) - fz |
384 |
|
385 |
#else |
386 |
if (do_pot) pot = pot + sw*pot_temp |
387 |
|
388 |
f(1,atom1) = f(1,atom1) + fx |
389 |
f(2,atom1) = f(2,atom1) + fy |
390 |
f(3,atom1) = f(3,atom1) + fz |
391 |
|
392 |
f(1,atom2) = f(1,atom2) - fx |
393 |
f(2,atom2) = f(2,atom2) - fy |
394 |
f(3,atom2) = f(3,atom2) - fz |
395 |
#endif |
396 |
|
397 |
#ifdef IS_MPI |
398 |
id1 = AtomRowToGlobal(atom1) |
399 |
id2 = AtomColToGlobal(atom2) |
400 |
#else |
401 |
id1 = atom1 |
402 |
id2 = atom2 |
403 |
#endif |
404 |
|
405 |
if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
406 |
|
407 |
fpair(1) = fpair(1) + fx |
408 |
fpair(2) = fpair(2) + fy |
409 |
fpair(3) = fpair(3) + fz |
410 |
|
411 |
endif |
412 |
|
413 |
return |
414 |
end subroutine calc_mnm_morse |
415 |
|
416 |
subroutine calc_mnm_maw(Atom1, Atom2, D, Rij, R2, Rcut, Sw, Vpair, Fpair, & |
417 |
Pot, A, F,t, Do_pot, interaction_id) |
418 |
integer, intent(in) :: atom1, atom2 |
419 |
real( kind = dp ), intent(in) :: rij, r2, rcut |
420 |
real( kind = dp ) :: pot, sw, vpair |
421 |
real( kind = dp ), intent(inout), dimension(3,nLocal) :: f |
422 |
real (kind=dp),intent(in), dimension(9,nLocal) :: A |
423 |
real (kind=dp),intent(inout), dimension(3,nLocal) :: t |
424 |
|
425 |
real( kind = dp ), intent(in), dimension(3) :: d |
426 |
real( kind = dp ), intent(inout), dimension(3) :: fpair |
427 |
logical, intent(in) :: do_pot |
428 |
|
429 |
integer, intent(in) :: interaction_id |
430 |
|
431 |
real(kind = dp) :: D0, R0, beta0, betaH, alpha, gamma, pot_temp |
432 |
real(kind = dp) :: expt0, expfnc0, expfnc02 |
433 |
real(kind = dp) :: exptH, expfncH, expfncH2 |
434 |
real(kind = dp) :: x, y, z, x2, y2, z2, r3, proj, proj3, st2,st,s2t |
435 |
real(kind = dp) :: drdx, drdy, drdz, drdux, drduy, drduz |
436 |
real(kind = dp) :: ct,ct2,c2t, dctdx, dctdy, dctdz, dctdux, dctduy, dctduz |
437 |
real(kind = dp) :: sp,c2p,sp2,dspdx, dspdy, dspdz, dspdux, dspduy, dspduz |
438 |
real(kind = dp) :: dvdx, dvdy, dvdz, dvdux, dvduy, dvduz |
439 |
real(kind = dp) :: maw, dmawdr, dmawdct, dmawdsp, dmawdt, dmawdst |
440 |
real(kind = dp) :: hpart, vmorse |
441 |
real(kind = dp) :: fx, fy, fz, tx, ty, tz, fxl, fyl, fzl |
442 |
integer :: atid1, atid2, id1, id2 |
443 |
logical :: shiftedPot, shiftedFrc |
444 |
|
445 |
|
446 |
|
447 |
|
448 |
#ifdef IS_MPI |
449 |
atid1 = atid_Row(atom1) |
450 |
atid2 = atid_Col(atom2) |
451 |
|
452 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
453 |
! rotate the inter-particle separation into the two different |
454 |
! body-fixed coordinate systems: |
455 |
|
456 |
x = A_row(1,atom1)*d(1) + A_row(2,atom1)*d(2) + A_row(3,atom1)*d(3) |
457 |
y = A_row(4,atom1)*d(1) + A_row(5,atom1)*d(2) + A_row(6,atom1)*d(3) |
458 |
z = A_row(7,atom1)*d(1) + A_row(8,atom1)*d(2) + A_row(9,atom1)*d(3) |
459 |
else |
460 |
! negative sign because this is the vector from j to i: |
461 |
|
462 |
x = -(A_Col(1,atom2)*d(1) + A_Col(2,atom2)*d(2) + A_Col(3,atom2)*d(3)) |
463 |
y = -(A_Col(4,atom2)*d(1) + A_Col(5,atom2)*d(2) + A_Col(6,atom2)*d(3)) |
464 |
z = -(A_Col(7,atom2)*d(1) + A_Col(8,atom2)*d(2) + A_Col(9,atom2)*d(3)) |
465 |
endif |
466 |
|
467 |
#else |
468 |
atid1 = atid(atom1) |
469 |
atid2 = atid(atom2) |
470 |
|
471 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
472 |
! rotate the inter-particle separation into the two different |
473 |
! body-fixed coordinate systems: |
474 |
|
475 |
x = a(1,atom1)*d(1) + a(2,atom1)*d(2) + a(3,atom1)*d(3) |
476 |
y = a(4,atom1)*d(1) + a(5,atom1)*d(2) + a(6,atom1)*d(3) |
477 |
z = a(7,atom1)*d(1) + a(8,atom1)*d(2) + a(9,atom1)*d(3) |
478 |
else |
479 |
! negative sign because this is the vector from j to i: |
480 |
|
481 |
x = -(a(1,atom2)*d(1) + a(2,atom2)*d(2) + a(3,atom2)*d(3)) |
482 |
y = -(a(4,atom2)*d(1) + a(5,atom2)*d(2) + a(6,atom2)*d(3)) |
483 |
z = -(a(7,atom2)*d(1) + a(8,atom2)*d(2) + a(9,atom2)*d(3)) |
484 |
endif |
485 |
|
486 |
#endif |
487 |
|
488 |
|
489 |
D0 = MnM_Map%interactions(interaction_id)%D0 |
490 |
R0 = MnM_Map%interactions(interaction_id)%r0 |
491 |
beta0 = MnM_Map%interactions(interaction_id)%beta0 |
492 |
betaH = MnM_Map%interactions(interaction_id)%betaH |
493 |
alpha = MnM_Map%interactions(interaction_id)%alpha |
494 |
gamma = MnM_Map%interactions(interaction_id)%gamma |
495 |
|
496 |
|
497 |
shiftedPot = MnM_Map%interactions(interaction_id)%shiftedPot |
498 |
shiftedFrc = MnM_Map%interactions(interaction_id)%shiftedFrc |
499 |
|
500 |
expt0 = -beta0*(rij - R0) |
501 |
expfnc0 = exp(expt0) |
502 |
expfnc02 = expfnc0*expfnc0 |
503 |
|
504 |
exptH = -betaH*(rij - R0) |
505 |
expfncH = exp(exptH) |
506 |
expfncH2 = expfncH*expfncH |
507 |
|
508 |
|
509 |
|
510 |
!!$ if (shiftedPot .or. shiftedFrc) then |
511 |
!!$ exptC0 = -beta0*(rcut - R0) |
512 |
!!$ expfncC0 = exp(exptC0) |
513 |
!!$ expfncC02 = expfncC0*expfncC0 |
514 |
!!$ exptCH = -betaH*(rcut - R0) |
515 |
!!$ expfncCH = exp(exptCH) |
516 |
!!$ expfncCH2 = expfncCH*expfncCH |
517 |
!!$ endif |
518 |
|
519 |
drdx = -d(1) / rij |
520 |
drdy = -d(2) / rij |
521 |
drdz = -d(3) / rij |
522 |
drdux = 0.0_dp |
523 |
drduy = 0.0_dp |
524 |
drduz = 0.0_dp |
525 |
|
526 |
x2 = x*x |
527 |
y2 = y*y |
528 |
z2 = z*z |
529 |
r3 = r2*rij |
530 |
ct = z / rij |
531 |
ct2 = ct * ct |
532 |
! cos(2 theta) |
533 |
c2t = 2.0_dp * ct2 - 1.0_dp |
534 |
|
535 |
if (ct .gt. 1.0_dp) ct = 1.0_dp |
536 |
if (ct .lt. -1.0_dp) ct = -1.0_dp |
537 |
|
538 |
! These derivatives can be obtained by using |
539 |
! cos(theta) = \hat{u} . \vec{r} / r |
540 |
! where \hat{u} is the body-fixed unit frame for the water molecule, |
541 |
! and \vec{r} is the vector to the metal atom. |
542 |
! |
543 |
! the derivatives wrt \vec{r} are: |
544 |
! dcostheta/d\vec{r} = - costheta \vec{r} / r^2 + \hat{u} / r |
545 |
! the molecular frame for each water has u = {0, 0, 1}, so these: |
546 |
! |
547 |
! dctdx = - x * z / r3 + ux / rij |
548 |
! dctdy = - y * z / r3 + uy / rij |
549 |
! dctdz = - z2 / r3 + uz / rij |
550 |
! |
551 |
! become: |
552 |
! |
553 |
dctdx = - z * x / r3 |
554 |
dctdy = - z * y / r3 |
555 |
dctdz = 1.0_dp / rij - z2 / r3 |
556 |
|
557 |
dctdux = x / rij |
558 |
dctduy = y / rij |
559 |
dctduz = z / rij |
560 |
|
561 |
! dctdux = y / rij ! - (z * x2) / r3 |
562 |
! dctduy = -x / rij !- (z * y2) / r3 |
563 |
! dctduz = 0.0_dp ! z / rij - (z2 * z) / r3 |
564 |
|
565 |
! this is an attempt to try to truncate the singularity when |
566 |
! sin(theta) is near 0.0: |
567 |
|
568 |
st2 = 1.0_dp - ct2 |
569 |
|
570 |
|
571 |
if (abs(st2) .lt. 1.0e-12_dp) then |
572 |
proj = sqrt(rij * 1.0e-12_dp) |
573 |
!!$ dcpdx = 1.0_dp / proj |
574 |
!!$ dcpdy = 0.0_dp |
575 |
!!$ dcpdux = x / proj |
576 |
!!$ dcpduy = 0.0_dp |
577 |
dspdx = 0.0_dp |
578 |
dspdy = 1.0_dp / proj |
579 |
dspdux = 0.0_dp |
580 |
dspduy = y / proj |
581 |
else |
582 |
proj = sqrt(x2 + y2) |
583 |
proj3 = proj*proj*proj |
584 |
!!$ dcpdx = 1.0_dp / proj - x2 / proj3 |
585 |
!!$ dcpdy = - x * y / proj3 |
586 |
!!$ dcpdux = x / proj - (x2 * x) / proj3 |
587 |
!!$ dcpduy = - (x * y2) / proj3 |
588 |
dspdx = - x * y / proj3 |
589 |
dspdy = 1.0_dp / proj - y2 / proj3 |
590 |
dspdux = - (y * x2) / proj3 |
591 |
dspduy = y / proj - (y2 * y) / proj3 |
592 |
endif |
593 |
|
594 |
!!$ cp = x / proj |
595 |
!!$ dcpdz = 0.0_dp |
596 |
!!$ dcpduz = 0.0_dp |
597 |
|
598 |
sp = y / proj |
599 |
dspdz = 0.0_dp |
600 |
dspduz = 0.0_dp |
601 |
|
602 |
sp2 = sp * sp |
603 |
c2p = 1.0_dp - 2.0_dp * sp2 |
604 |
|
605 |
|
606 |
! V(r) = D_e exp(-a(r-re)(exp(-a(r-re))-2) |
607 |
vmorse =D0 * (expfnc02 - 2.0_dp * expfnc0) |
608 |
! angular modulation of morse part of potential to approximate a sp3 orbital |
609 |
! hpart = (sqrt(3.0)*cos(theta)/2.0 - 3.0*cos(2.0*phi)*sin^2(theta)/4.0); |
610 |
|
611 |
hpart = (sqrt3_2*ct - threefourth*c2p*st2) |
612 |
|
613 |
pot_temp = vmorse* (1.0_dp - alpha*(1.0_dp + hpart)/2.0_dp) |
614 |
|
615 |
vpair = vpair + pot_temp |
616 |
|
617 |
if (do_pot) then |
618 |
#ifdef IS_MPI |
619 |
pot_row(VDW_POT,atom1) = pot_row(VDW_POT,atom1) + 0.5_dp*pot_temp*sw |
620 |
pot_col(VDW_POT,atom2) = pot_col(VDW_POT,atom2) + 0.5_dp*pot_temp*sw |
621 |
#else |
622 |
pot = pot + pot_temp*sw |
623 |
#endif |
624 |
endif |
625 |
|
626 |
! derivative wrt r |
627 |
dmawdr = 2.0_dp*D0*beta0*(expfnc0 - expfnc02) * & |
628 |
(1.0_dp - alpha*(1.0_dp + hpart)/2.0_dp) |
629 |
|
630 |
! derivative wrt cos(theta) |
631 |
!dmawdct = 2.0_dp * gamma * D0 * expfncH2 * alpha * sp * sp |
632 |
dmawdct = -sqrt3_4*alpha*D0*vMorse |
633 |
|
634 |
! derivative wrt sin(theta) |
635 |
! dmawdst = 2.0_dp * alpha * D0 * vMorse* c2t * st |
636 |
dmawdst = 3.0_dp/4.0_dp*alpha*D0*vmorse*c2p*st |
637 |
|
638 |
! derivative wrt cos(2*phi) |
639 |
dmawdsp = 3.0_dp/4.0_dp * alpha * D0 * vmorse*st*st |
640 |
|
641 |
|
642 |
! chain rule to put these back on x, y, z, ux, uy, uz |
643 |
dvdx = dmawdr * drdx + dmawdct * dctdx + dmawdsp * dspdx |
644 |
dvdy = dmawdr * drdy + dmawdct * dctdy + dmawdsp * dspdy |
645 |
dvdz = dmawdr * drdz + dmawdct * dctdz + dmawdsp * dspdz |
646 |
|
647 |
|
648 |
|
649 |
|
650 |
dvdux = dmawdr * drdux + dmawdct * dctdux + dmawdsp * dspdux |
651 |
dvduy = dmawdr * drduy + dmawdct * dctduy + dmawdsp * dspduy |
652 |
dvduz = dmawdr * drduz + dmawdct * dctduz + dmawdsp * dspduz |
653 |
|
654 |
|
655 |
|
656 |
|
657 |
tx = (dvduy - dvduz) * sw |
658 |
ty = (dvduz - dvdux) * sw |
659 |
tz = (dvdux - dvduy) * sw |
660 |
|
661 |
! go back to lab frame using transpose of rotation matrix: |
662 |
|
663 |
#ifdef IS_MPI |
664 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
665 |
t_Row(1,atom1) = t_Row(1,atom1) + a_Row(1,atom1)*tx + & |
666 |
a_Row(4,atom1)*ty + a_Row(7,atom1)*tz |
667 |
t_Row(2,atom1) = t_Row(2,atom1) + a_Row(2,atom1)*tx + & |
668 |
a_Row(5,atom1)*ty + a_Row(8,atom1)*tz |
669 |
t_Row(3,atom1) = t_Row(3,atom1) + a_Row(3,atom1)*tx + & |
670 |
a_Row(6,atom1)*ty + a_Row(9,atom1)*tz |
671 |
else |
672 |
t_Col(1,atom2) = t_Col(1,atom2) + a_Col(1,atom2)*tx + & |
673 |
a_Col(4,atom2)*ty + a_Col(7,atom2)*tz |
674 |
t_Col(2,atom2) = t_Col(2,atom2) + a_Col(2,atom2)*tx + & |
675 |
a_Col(5,atom2)*ty + a_Col(8,atom2)*tz |
676 |
t_Col(3,atom2) = t_Col(3,atom2) + a_Col(3,atom2)*tx + & |
677 |
a_Col(6,atom2)*ty + a_Col(9,atom2)*tz |
678 |
endif |
679 |
#else |
680 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
681 |
t(1,atom1) = t(1,atom1) + a(1,atom1)*tx + a(4,atom1)*ty + & |
682 |
a(7,atom1)*tz |
683 |
t(2,atom1) = t(2,atom1) + a(2,atom1)*tx + a(5,atom1)*ty + & |
684 |
a(8,atom1)*tz |
685 |
t(3,atom1) = t(3,atom1) + a(3,atom1)*tx + a(6,atom1)*ty + & |
686 |
a(9,atom1)*tz |
687 |
else |
688 |
t(1,atom2) = t(1,atom2) + a(1,atom2)*tx + a(4,atom2)*ty + & |
689 |
a(7,atom2)*tz |
690 |
t(2,atom2) = t(2,atom2) + a(2,atom2)*tx + a(5,atom2)*ty + & |
691 |
a(8,atom2)*tz |
692 |
t(3,atom2) = t(3,atom2) + a(3,atom2)*tx + a(6,atom2)*ty + & |
693 |
a(9,atom2)*tz |
694 |
endif |
695 |
#endif |
696 |
! Now, on to the forces: |
697 |
|
698 |
fx = -dvdx * sw |
699 |
fy = -dvdy * sw |
700 |
fz = -dvdz * sw |
701 |
|
702 |
! rotate the terms back into the lab frame: |
703 |
|
704 |
#ifdef IS_MPI |
705 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
706 |
fxl = a_Row(1,atom1)*fx + a_Row(4,atom1)*fy + a_Row(7,atom1)*fz |
707 |
fyl = a_Row(2,atom1)*fx + a_Row(5,atom1)*fy + a_Row(8,atom1)*fz |
708 |
fzl = a_Row(3,atom1)*fx + a_Row(6,atom1)*fy + a_Row(9,atom1)*fz |
709 |
else |
710 |
fxl = a_Col(1,atom2)*fx + a_Col(4,atom2)*fy + a_Col(7,atom2)*fz |
711 |
fyl = a_Col(2,atom2)*fx + a_Col(5,atom2)*fy + a_Col(8,atom2)*fz |
712 |
fzl = a_Col(3,atom2)*fx + a_Col(6,atom2)*fy + a_Col(9,atom2)*fz |
713 |
endif |
714 |
f_Row(1,atom1) = f_Row(1,atom1) + fxl |
715 |
f_Row(2,atom1) = f_Row(2,atom1) + fyl |
716 |
f_Row(3,atom1) = f_Row(3,atom1) + fzl |
717 |
|
718 |
f_Col(1,atom2) = f_Col(1,atom2) - fxl |
719 |
f_Col(2,atom2) = f_Col(2,atom2) - fyl |
720 |
f_Col(3,atom2) = f_Col(3,atom2) - fzl |
721 |
#else |
722 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
723 |
fxl = a(1,atom1)*fx + a(4,atom1)*fy + a(7,atom1)*fz |
724 |
fyl = a(2,atom1)*fx + a(5,atom1)*fy + a(8,atom1)*fz |
725 |
fzl = a(3,atom1)*fx + a(6,atom1)*fy + a(9,atom1)*fz |
726 |
else |
727 |
fxl = a(1,atom2)*fx + a(4,atom2)*fy + a(7,atom2)*fz |
728 |
fyl = a(2,atom2)*fx + a(5,atom2)*fy + a(8,atom2)*fz |
729 |
fzl = a(3,atom2)*fx + a(6,atom2)*fy + a(9,atom2)*fz |
730 |
endif |
731 |
f(1,atom1) = f(1,atom1) + fxl |
732 |
f(2,atom1) = f(2,atom1) + fyl |
733 |
f(3,atom1) = f(3,atom1) + fzl |
734 |
|
735 |
f(1,atom2) = f(1,atom2) - fxl |
736 |
f(2,atom2) = f(2,atom2) - fyl |
737 |
f(3,atom2) = f(3,atom2) - fzl |
738 |
#endif |
739 |
|
740 |
#ifdef IS_MPI |
741 |
id1 = AtomRowToGlobal(atom1) |
742 |
id2 = AtomColToGlobal(atom2) |
743 |
#else |
744 |
id1 = atom1 |
745 |
id2 = atom2 |
746 |
#endif |
747 |
|
748 |
if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
749 |
|
750 |
fpair(1) = fpair(1) + fxl |
751 |
fpair(2) = fpair(2) + fyl |
752 |
fpair(3) = fpair(3) + fzl |
753 |
|
754 |
endif |
755 |
|
756 |
return |
757 |
end subroutine calc_mnm_maw |
758 |
|
759 |
|
760 |
subroutine setMnMDefaultCutoff(thisRcut, shiftedPot, shiftedFrc) |
761 |
real(kind=dp), intent(in) :: thisRcut |
762 |
logical, intent(in) :: shiftedPot |
763 |
logical, intent(in) :: shiftedFrc |
764 |
integer i, nInteractions |
765 |
defaultCutoff = thisRcut |
766 |
defaultShiftPot = shiftedPot |
767 |
defaultShiftFrc = shiftedFrc |
768 |
|
769 |
if (associated(MnM_Map)) then |
770 |
if(MnM_Map%interactionCount /= 0) then |
771 |
nInteractions = MnM_Map%interactionCount |
772 |
|
773 |
do i = 1, nInteractions |
774 |
MnM_Map%interactions(i)%shiftedPot = shiftedPot |
775 |
MnM_Map%interactions(i)%shiftedFrc = shiftedFrc |
776 |
MnM_Map%interactions(i)%rCut = thisRcut |
777 |
MnM_Map%interactions(i)%rCutWasSet = .true. |
778 |
enddo |
779 |
end if |
780 |
end if |
781 |
|
782 |
end subroutine setMnMDefaultCutoff |
783 |
|
784 |
subroutine copyAllData(v1, v2) |
785 |
type(MnMinteractionMap), pointer :: v1 |
786 |
type(MnMinteractionMap), pointer :: v2 |
787 |
integer :: i, j |
788 |
|
789 |
do i = 1, v1%interactionCount |
790 |
v2%interactions(i) = v1%interactions(i) |
791 |
enddo |
792 |
|
793 |
v2%interactionCount = v1%interactionCount |
794 |
return |
795 |
end subroutine copyAllData |
796 |
|
797 |
subroutine addInteraction(myInteraction) |
798 |
type(MNMtype) :: myInteraction |
799 |
type(MnMinteraction) :: nt |
800 |
integer :: id |
801 |
|
802 |
|
803 |
|
804 |
|
805 |
|
806 |
nt%interaction_type = myInteraction%MNMInteractionType |
807 |
nt%metal_atid = & |
808 |
getFirstMatchingElement(atypes, "c_ident", myInteraction%metal_atid) |
809 |
nt%nonmetal_atid = & |
810 |
getFirstMatchingElement(atypes, "c_ident", myInteraction%nonmetal_atid) |
811 |
|
812 |
|
813 |
select case (nt%interaction_type) |
814 |
case (MNM_LENNARDJONES) |
815 |
nt%sigma = myInteraction%sigma |
816 |
nt%epsilon = myInteraction%epsilon |
817 |
case(MNM_REPULSIVEMORSE, MNM_SHIFTEDMORSE) |
818 |
nt%R0 = myInteraction%R0 |
819 |
nt%D0 = myInteraction%D0 |
820 |
nt%beta0 = myInteraction%beta0 |
821 |
case(MNM_MAW) |
822 |
nt%R0 = myInteraction%R0 |
823 |
nt%D0 = myInteraction%D0 |
824 |
nt%beta0 = myInteraction%beta0 |
825 |
nt%betaH = myInteraction%betaH |
826 |
nt%alpha = myInteraction%alpha |
827 |
nt%gamma = myInteraction%gamma |
828 |
case default |
829 |
call handleError("MNM", "Unknown Interaction type") |
830 |
end select |
831 |
|
832 |
if (.not. associated(MnM_Map)) then |
833 |
call ensureCapacityHelper(MnM_Map, 1) |
834 |
else |
835 |
call ensureCapacityHelper(MnM_Map, MnM_Map%interactionCount + 1) |
836 |
end if |
837 |
|
838 |
MnM_Map%interactionCount = MnM_Map%interactionCount + 1 |
839 |
id = MnM_Map%interactionCount |
840 |
MnM_Map%interactions(id) = nt |
841 |
end subroutine addInteraction |
842 |
|
843 |
subroutine ensureCapacityHelper(this, minCapacity) |
844 |
type(MnMinteractionMap), pointer :: this, that |
845 |
integer, intent(in) :: minCapacity |
846 |
integer :: oldCapacity |
847 |
integer :: newCapacity |
848 |
logical :: resizeFlag |
849 |
|
850 |
resizeFlag = .false. |
851 |
|
852 |
! first time: allocate a new vector with default size |
853 |
|
854 |
if (.not. associated(this)) then |
855 |
this => MnMinitialize(minCapacity, 0) |
856 |
endif |
857 |
|
858 |
oldCapacity = size(this%interactions) |
859 |
|
860 |
if (minCapacity > oldCapacity) then |
861 |
if (this%capacityIncrement .gt. 0) then |
862 |
newCapacity = oldCapacity + this%capacityIncrement |
863 |
else |
864 |
newCapacity = oldCapacity * 2 |
865 |
endif |
866 |
if (newCapacity .lt. minCapacity) then |
867 |
newCapacity = minCapacity |
868 |
endif |
869 |
resizeFlag = .true. |
870 |
else |
871 |
newCapacity = oldCapacity |
872 |
endif |
873 |
|
874 |
if (resizeFlag) then |
875 |
that => MnMinitialize(newCapacity, this%capacityIncrement) |
876 |
call copyAllData(this, that) |
877 |
this => MnMdestroy(this) |
878 |
this => that |
879 |
endif |
880 |
end subroutine ensureCapacityHelper |
881 |
|
882 |
function MnMinitialize(cap, capinc) result(this) |
883 |
integer, intent(in) :: cap, capinc |
884 |
integer :: error |
885 |
type(MnMinteractionMap), pointer :: this |
886 |
|
887 |
nullify(this) |
888 |
|
889 |
if (cap < 0) then |
890 |
write(*,*) 'Bogus Capacity:', cap |
891 |
return |
892 |
endif |
893 |
allocate(this,stat=error) |
894 |
if ( error /= 0 ) then |
895 |
write(*,*) 'Could not allocate MnMinteractionMap!' |
896 |
return |
897 |
end if |
898 |
|
899 |
this%initialCapacity = cap |
900 |
this%capacityIncrement = capinc |
901 |
|
902 |
allocate(this%interactions(this%initialCapacity), stat=error) |
903 |
if(error /= 0) write(*,*) 'Could not allocate MnMinteraction!' |
904 |
|
905 |
end function MnMinitialize |
906 |
|
907 |
subroutine createInteractionLookup(this) |
908 |
type (MnMInteractionMap),pointer :: this |
909 |
integer :: biggestAtid, i, metal_atid, nonmetal_atid, error |
910 |
|
911 |
biggestAtid=-1 |
912 |
do i = 1, this%interactionCount |
913 |
metal_atid = this%interactions(i)%metal_atid |
914 |
nonmetal_atid = this%interactions(i)%nonmetal_atid |
915 |
|
916 |
if (metal_atid .gt. biggestAtid) biggestAtid = metal_atid |
917 |
if (nonmetal_atid .gt. biggestAtid) biggestAtid = nonmetal_atid |
918 |
enddo |
919 |
|
920 |
allocate(MnMinteractionLookup(biggestAtid,biggestAtid), stat=error) |
921 |
if (error /= 0) write(*,*) 'Could not allocate MnMinteractionLookup' |
922 |
|
923 |
do i = 1, this%interactionCount |
924 |
metal_atid = this%interactions(i)%metal_atid |
925 |
nonmetal_atid = this%interactions(i)%nonmetal_atid |
926 |
|
927 |
MnMinteractionLookup(metal_atid, nonmetal_atid) = i |
928 |
MnMinteractionLookup(nonmetal_atid, metal_atid) = i |
929 |
enddo |
930 |
end subroutine createInteractionLookup |
931 |
|
932 |
|
933 |
function MnMdestroy(this) result(null_this) |
934 |
logical :: done |
935 |
type(MnMinteractionMap), pointer :: this |
936 |
type(MnMinteractionMap), pointer :: null_this |
937 |
|
938 |
if (.not. associated(this)) then |
939 |
null_this => null() |
940 |
return |
941 |
end if |
942 |
|
943 |
!! Walk down the list and deallocate each of the map's components |
944 |
if(associated(this%interactions)) then |
945 |
deallocate(this%interactions) |
946 |
this%interactions=>null() |
947 |
endif |
948 |
deallocate(this) |
949 |
this => null() |
950 |
null_this => null() |
951 |
end function MnMdestroy |
952 |
|
953 |
|
954 |
subroutine deleteInteractions() |
955 |
MnM_Map => MnMdestroy(MnM_Map) |
956 |
return |
957 |
end subroutine deleteInteractions |
958 |
|
959 |
|
960 |
subroutine getLJfunc(r, myPot, myDeriv) |
961 |
|
962 |
real(kind=dp), intent(in) :: r |
963 |
real(kind=dp), intent(inout) :: myPot, myDeriv |
964 |
real(kind=dp) :: ri, ri2, ri6, ri7, ri12, ri13 |
965 |
real(kind=dp) :: a, b, c, d, dx |
966 |
integer :: j |
967 |
|
968 |
ri = 1.0_DP / r |
969 |
ri2 = ri*ri |
970 |
ri6 = ri2*ri2*ri2 |
971 |
ri7 = ri6*ri |
972 |
ri12 = ri6*ri6 |
973 |
ri13 = ri12*ri |
974 |
|
975 |
myPot = 4.0_DP * (ri12 - ri6) |
976 |
myDeriv = 24.0_DP * (ri7 - 2.0_DP * ri13) |
977 |
|
978 |
return |
979 |
end subroutine getLJfunc |
980 |
|
981 |
subroutine getSoftFunc(r, myPot, myDeriv) |
982 |
|
983 |
real(kind=dp), intent(in) :: r |
984 |
real(kind=dp), intent(inout) :: myPot, myDeriv |
985 |
real(kind=dp) :: ri, ri2, ri6, ri7 |
986 |
real(kind=dp) :: a, b, c, d, dx |
987 |
integer :: j |
988 |
|
989 |
ri = 1.0_DP / r |
990 |
ri2 = ri*ri |
991 |
ri6 = ri2*ri2*ri2 |
992 |
ri7 = ri6*ri |
993 |
myPot = 4.0_DP * (ri6) |
994 |
myDeriv = - 24.0_DP * ri7 |
995 |
|
996 |
return |
997 |
end subroutine getSoftFunc |
998 |
|
999 |
|
1000 |
|
1001 |
|
1002 |
|
1003 |
|
1004 |
end module MetalNonMetal |