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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. 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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!! 2. 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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!! SUPPORT OPEN SCIENCE! If you use OpenMD or its source code in your |
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!! research, please cite the appropriate papers when you publish your |
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!! work. Good starting points are: |
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!! |
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!! [1] Meineke, et al., J. Comp. Chem. 26, 252-271 (2005). |
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!! [2] Fennell & Gezelter, J. Chem. Phys. 124, 234104 (2006). |
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!! [3] Sun, Lin & Gezelter, J. Chem. Phys. 128, 24107 (2008). |
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!! [4] Vardeman & Gezelter, in progress (2009). |
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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 $Id$, $Date$, $Name: not supported by cvs2svn $, $Revision$ |
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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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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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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) :: ca1 |
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real(kind=dp) :: cb1 |
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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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integer :: nRep |
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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(atid1, atid2, D, Rij, R2, Rcut, Sw, vdwMult, & |
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Vpair, Fpair, Pot, A1, A2, f1, t1, t2) |
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integer, intent(in) :: atid1, atid2 |
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integer :: ljt1, ljt2 |
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real( kind = dp ), intent(in) :: rij, r2, rcut, vdwMult |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3) :: f1 |
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real (kind=dp), intent(inout), dimension(9) :: A1, A2 |
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real (kind=dp), intent(inout), dimension(3) :: t1, t2 |
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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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|
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integer :: interaction_id |
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integer :: interaction_type |
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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(D, Rij, R2, Rcut, Sw, & |
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vdwMult, Vpair, Fpair, Pot, f1, interaction_id) |
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case (MNM_REPULSIVEPOWER) |
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call calc_mnm_repulsivepower(D, Rij, R2, Rcut, Sw, & |
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vdwMult, Vpair, Fpair, Pot, f1, interaction_id) |
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case(MNM_REPULSIVEMORSE, MNM_SHIFTEDMORSE) |
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call calc_mnm_morse(D, Rij, R2, Rcut, Sw, vdwMult, & |
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Vpair, Fpair, Pot, f1, interaction_id, interaction_type) |
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case(MNM_MAW) |
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call calc_mnm_maw(atid1, atid2, D, Rij, R2, Rcut, Sw, vdwMult, & |
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Vpair, Fpair, Pot, A1, A2, f1, t1, t2, interaction_id) |
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case default |
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call handleError("MetalNonMetal","Unknown interaction type") |
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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(D, Rij, R2, Rcut, Sw, & |
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vdwMult,Vpair, Fpair, Pot, f1, interaction_id) |
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|
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real( kind = dp ), intent(in) :: rij, r2, rcut, vdwMult |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3) :: f1 |
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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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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 = vdwMult * epsilon * (myPot - myPotC) |
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vpair = vpair + pot_temp |
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dudr = sw * vdwMult * 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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pot = pot + sw*pot_temp |
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f1(1) = f1(1) + fx |
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f1(2) = f1(2) + fy |
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f1(3) = f1(3) + fz |
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|
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return |
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end subroutine calc_mnm_lennardjones |
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|
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|
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subroutine calc_mnm_repulsivepower(D, Rij, R2, Rcut, Sw, & |
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vdwMult,Vpair, Fpair, Pot, f1, interaction_id) |
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|
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real( kind = dp ), intent(in) :: rij, r2, rcut, vdwMult |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3) :: f1 |
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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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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, n |
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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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n = MnM_Map%interactions(interaction_id)%nRep |
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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 getNRepulsionFunc(ros, n, 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 getNRepulsionFunc(rcos, n, 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 getNRepulsionFunc(rcos, n, 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 = vdwMult * epsilon * (myPot - myPotC) |
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vpair = vpair + pot_temp |
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dudr = sw * vdwMult * 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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pot = pot + sw*pot_temp |
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f1(1) = f1(1) + fx |
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f1(2) = f1(2) + fy |
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f1(3) = f1(3) + fz |
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|
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return |
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end subroutine calc_mnm_repulsivepower |
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|
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|
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subroutine calc_mnm_morse(D, Rij, R2, Rcut, Sw, vdwMult, & |
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Vpair, Fpair, Pot, f1, interaction_id, interaction_type) |
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real( kind = dp ), intent(in) :: rij, r2, rcut, vdwMult |
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real( kind = dp ) :: pot, sw, vpair |
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real( kind = dp ), intent(inout), dimension(3) :: f1 |
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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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integer, intent(in) :: interaction_id, interaction_type |
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logical :: shiftedPot, shiftedFrc |
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|
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! Local Variables |
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real(kind=dp) :: Beta0 |
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real(kind=dp) :: R0 |
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real(kind=dp) :: D0 |
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real(kind=dp) :: expt |
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real(kind=dp) :: expt2 |
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real(kind=dp) :: expfnc |
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real(kind=dp) :: expfnc2 |
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real(kind=dp) :: D_expt |
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real(kind=dp) :: D_expt2 |
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real(kind=dp) :: rcos |
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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 |
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real(kind=dp) :: D_exptC |
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|
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real(kind=dp) :: myPot |
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real(kind=dp) :: myPotC |
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real(kind=dp) :: myDeriv |
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real(kind=dp) :: myDerivC |
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real(kind=dp) :: pot_temp |
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real(kind=dp) :: fx,fy,fz |
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real(kind=dp) :: drdx,drdy,drdz |
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real(kind=dp) :: dudr |
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integer :: id1,id2 |
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|
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|
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D0 = MnM_Map%interactions(interaction_id)%D0 |
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R0 = MnM_Map%interactions(interaction_id)%r0 |
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Beta0 = MnM_Map%interactions(interaction_id)%Beta0 |
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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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! V(r) = D_e exp(-a(r-re)(exp(-a(r-re))-2) |
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|
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expt = -beta0*(rij - R0) |
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expfnc = exp(expt) |
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expfnc2 = expfnc*expfnc |
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|
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if (shiftedPot .or. shiftedFrc) then |
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exptC = -beta0*(rcut - R0) |
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expfncC = exp(exptC) |
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expfnc2C = expfncC*expfncC |
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endif |
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|
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select case (interaction_type) |
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case (MNM_SHIFTEDMORSE) |
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|
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myPot = D0 * (expfnc2 - 2.0_dp * expfnc) |
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myDeriv = 2.0*D0*beta0*(expfnc - expfnc2) |
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|
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if (shiftedPot) then |
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myPotC = D0 * (expfnc2C - 2.0_dp * expfncC) |
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myDerivC = 0.0_dp |
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elseif (shiftedFrc) then |
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myPotC = D0 * (expfnc2C - 2.0_dp * expfncC) |
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myDerivC = 2.0*D0*beta0*(expfnc2C - expfnc2C) |
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myPotC = myPotC + myDerivC * (rij - rcut) |
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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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case (MNM_REPULSIVEMORSE) |
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|
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myPot = D0 * expfnc2 |
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myDeriv = -2.0_dp * D0 * beta0 * expfnc2 |
| 360 |
|
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if (shiftedPot) then |
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myPotC = D0 * expfnc2C |
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myDerivC = 0.0_dp |
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elseif (shiftedFrc) then |
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myPotC = D0 * expfnc2C |
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myDerivC = -2.0_dp * D0* beta0 * expfnc2C |
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myPotC = myPotC + myDerivC * (rij - rcut) |
| 368 |
else |
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myPotC = 0.0_dp |
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myDerivC = 0.0_dp |
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endif |
| 372 |
end select |
| 373 |
|
| 374 |
pot_temp = vdwMult * (myPot - myPotC) |
| 375 |
vpair = vpair + pot_temp |
| 376 |
dudr = sw * vdwMult * (myDeriv - myDerivC) |
| 377 |
|
| 378 |
drdx = d(1) / rij |
| 379 |
drdy = d(2) / rij |
| 380 |
drdz = d(3) / rij |
| 381 |
|
| 382 |
fx = dudr * drdx |
| 383 |
fy = dudr * drdy |
| 384 |
fz = dudr * drdz |
| 385 |
|
| 386 |
pot = pot + sw*pot_temp |
| 387 |
|
| 388 |
f1(1) = f1(1) + fx |
| 389 |
f1(2) = f1(2) + fy |
| 390 |
f1(3) = f1(3) + fz |
| 391 |
|
| 392 |
return |
| 393 |
end subroutine calc_mnm_morse |
| 394 |
|
| 395 |
subroutine calc_mnm_maw(atid1, atid2, D, Rij, R2, Rcut, Sw, vdwMult, & |
| 396 |
Vpair, Fpair, Pot, A1, A2, f1, t1, t2, interaction_id) |
| 397 |
real( kind = dp ), intent(in) :: rij, r2, rcut, vdwMult |
| 398 |
real( kind = dp ) :: pot, sw, vpair |
| 399 |
real( kind = dp ), intent(inout), dimension(3) :: f1 |
| 400 |
real (kind=dp),intent(in), dimension(9) :: A1, A2 |
| 401 |
real (kind=dp),intent(inout), dimension(3) :: t1, t2 |
| 402 |
|
| 403 |
real( kind = dp ), intent(in), dimension(3) :: d |
| 404 |
real( kind = dp ), intent(inout), dimension(3) :: fpair |
| 405 |
|
| 406 |
integer, intent(in) :: interaction_id |
| 407 |
|
| 408 |
real(kind = dp) :: D0, R0, beta0, ca1, cb1, pot_temp |
| 409 |
real(kind = dp) :: expt0, expfnc0, expfnc02 |
| 410 |
real(kind = dp) :: exptH, expfncH, expfncH2 |
| 411 |
real(kind = dp) :: x, y, z, x2, y2, z2, r3, r4 |
| 412 |
real(kind = dp) :: drdx, drdy, drdz |
| 413 |
real(kind = dp) :: dvdx, dvdy, dvdz |
| 414 |
real(kind = dp) :: Vang, dVangdx, dVangdy, dVangdz |
| 415 |
real(kind = dp) :: dVangdux, dVangduy, dVangduz |
| 416 |
real(kind = dp) :: dVmorsedr |
| 417 |
real(kind = dp) :: Vmorse, dVmorsedx, dVmorsedy, dVmorsedz |
| 418 |
real(kind = dp) :: ta1, b1, s |
| 419 |
real(kind = dp) :: da1dx, da1dy, da1dz, da1dux, da1duy, da1duz |
| 420 |
real(kind = dp) :: db1dx, db1dy, db1dz, db1dux, db1duy, db1duz |
| 421 |
real(kind = dp) :: fx, fy, fz, tx, ty, tz, fxl, fyl, fzl |
| 422 |
! real(kind = dp), parameter :: st = sqrt(3.0_dp) |
| 423 |
real(kind = dp), parameter :: st = 1.732050807568877 |
| 424 |
integer :: atid1, atid2, id1, id2 |
| 425 |
logical :: shiftedPot, shiftedFrc |
| 426 |
|
| 427 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
| 428 |
! rotate the inter-particle separation into the two different |
| 429 |
! body-fixed coordinate systems: |
| 430 |
|
| 431 |
x = A1(1)*d(1) + A1(2)*d(2) + A1(3)*d(3) |
| 432 |
y = A1(4)*d(1) + A1(5)*d(2) + A1(6)*d(3) |
| 433 |
z = A1(7)*d(1) + A1(8)*d(2) + A1(9)*d(3) |
| 434 |
else |
| 435 |
! negative sign because this is the vector from j to i: |
| 436 |
|
| 437 |
x = -(A2(1)*d(1) + A2(2)*d(2) + A2(3)*d(3)) |
| 438 |
y = -(A2(4)*d(1) + A2(5)*d(2) + A2(6)*d(3)) |
| 439 |
z = -(A2(7)*d(1) + A2(8)*d(2) + A2(9)*d(3)) |
| 440 |
endif |
| 441 |
|
| 442 |
D0 = MnM_Map%interactions(interaction_id)%D0 |
| 443 |
R0 = MnM_Map%interactions(interaction_id)%r0 |
| 444 |
beta0 = MnM_Map%interactions(interaction_id)%beta0 |
| 445 |
ca1 = MnM_Map%interactions(interaction_id)%ca1 |
| 446 |
cb1 = MnM_Map%interactions(interaction_id)%cb1 |
| 447 |
|
| 448 |
shiftedPot = MnM_Map%interactions(interaction_id)%shiftedPot |
| 449 |
shiftedFrc = MnM_Map%interactions(interaction_id)%shiftedFrc |
| 450 |
|
| 451 |
expt0 = -beta0*(rij - R0) |
| 452 |
expfnc0 = exp(expt0) |
| 453 |
expfnc02 = expfnc0*expfnc0 |
| 454 |
|
| 455 |
!!$ if (shiftedPot .or. shiftedFrc) then |
| 456 |
!!$ exptC0 = -beta0*(rcut - R0) |
| 457 |
!!$ expfncC0 = exp(exptC0) |
| 458 |
!!$ expfncC02 = expfncC0*expfncC0 |
| 459 |
!!$ exptCH = -betaH*(rcut - R0) |
| 460 |
!!$ expfncCH = exp(exptCH) |
| 461 |
!!$ expfncCH2 = expfncCH*expfncCH |
| 462 |
!!$ endif |
| 463 |
|
| 464 |
drdx = x / rij |
| 465 |
drdy = y / rij |
| 466 |
drdz = z / rij |
| 467 |
|
| 468 |
x2 = x*x |
| 469 |
y2 = y*y |
| 470 |
z2 = z*z |
| 471 |
r3 = r2*rij |
| 472 |
r4 = r2*r2 |
| 473 |
|
| 474 |
Vmorse = D0 * (expfnc02 - 2.0_dp * expfnc0) |
| 475 |
|
| 476 |
! angular modulation of morse part of potential to approximate |
| 477 |
! the squares of the two HOMO lone pair orbitals in water: |
| 478 |
!********************** old form************************* |
| 479 |
! s = 1 / (4 pi) |
| 480 |
! ta1 = (s - pz)^2 = (1 - sqrt(3)*cos(theta))^2 / (4 pi) |
| 481 |
! b1 = px^2 = 3 * (sin(theta)*cos(phi))^2 / (4 pi) |
| 482 |
!********************** old form************************* |
| 483 |
! we'll leave out the 4 pi for now |
| 484 |
|
| 485 |
! new functional form just using the p orbitals. |
| 486 |
! Vmorse(r)*[a*p_x + b p_z + (1-a-b)] |
| 487 |
! which is |
| 488 |
! Vmorse(r)*[a sin^2(theta) cos^2(phi) + b cos(theta) + (1-a-b)] |
| 489 |
! Vmorse(r)*[a*x2/r2 + b*z/r + (1-a-b)] |
| 490 |
|
| 491 |
|
| 492 |
|
| 493 |
s = 1.0_dp |
| 494 |
! ta1 = (1.0_dp - st * z / rij )**2 |
| 495 |
! b1 = 3.0_dp * x2 / r2 |
| 496 |
|
| 497 |
! Vang = s + ca1 * ta1 + cb1 * b1 |
| 498 |
|
| 499 |
Vang = ca1 * x2/r2 + cb1 * z/rij + (0.8_dp-ca1/3.0_dp) |
| 500 |
|
| 501 |
pot_temp = vdwMult * Vmorse*Vang |
| 502 |
|
| 503 |
vpair = vpair + pot_temp |
| 504 |
pot = pot + pot_temp*sw |
| 505 |
|
| 506 |
dVmorsedr = 2.0_dp*D0*beta0*(expfnc0 - expfnc02) |
| 507 |
|
| 508 |
dVmorsedx = dVmorsedr * drdx |
| 509 |
dVmorsedy = dVmorsedr * drdy |
| 510 |
dVmorsedz = dVmorsedr * drdz |
| 511 |
|
| 512 |
!da1dx = 2.0_dp * st * x * z / r3 - 6.0_dp * x * z2 / r4 |
| 513 |
!da1dy = 2.0_dp * st * y * z / r3 - 6.0_dp * y * z2 / r4 |
| 514 |
!da1dz = 2.0_dp * st * (x2 + y2) * (st * z - rij ) / r4 |
| 515 |
|
| 516 |
!db1dx = 6.0_dp * x * (1.0_dp - x2 / r2) / r2 |
| 517 |
!db1dy = -6.0_dp * x2 * y / r4 |
| 518 |
!db1dz = -6.0_dp * x2 * z / r4 |
| 519 |
|
| 520 |
!dVangdx = ca1 * da1dx + cb1 * db1dx |
| 521 |
!dVangdy = ca1 * da1dy + cb1 * db1dy |
| 522 |
!dVangdz = ca1 * da1dz + cb1 * db1dz |
| 523 |
|
| 524 |
dVangdx = -2.0*ca1*x2*x/r4 + 2.0*ca1*x/r2 - cb1*x*z/r3 |
| 525 |
dVangdy = -2.0*ca1*x2*y/r4 - cb1*z*y/r3 |
| 526 |
dVangdz = -2.0*ca1*x2*z/r4 + cb1/rij - cb1*z2 /r3 |
| 527 |
|
| 528 |
! chain rule to put these back on x, y, z |
| 529 |
dvdx = Vang * dVmorsedx + Vmorse * dVangdx |
| 530 |
dvdy = Vang * dVmorsedy + Vmorse * dVangdy |
| 531 |
dvdz = Vang * dVmorsedz + Vmorse * dVangdz |
| 532 |
|
| 533 |
! Torques for Vang using method of Price: |
| 534 |
! S. L. Price, A. J. Stone, and M. Alderton, Mol. Phys. 52, 987 (1984). |
| 535 |
|
| 536 |
!da1dux = 6.0_dp * y * z / r2 - 2.0_dp * st * y / rij |
| 537 |
!da1duy = -6.0_dp * x * z / r2 + 2.0_dp * st * x / rij |
| 538 |
!da1duz = 0.0_dp |
| 539 |
|
| 540 |
!db1dux = 0.0_dp |
| 541 |
!db1duy = 6.0_dp * x * z / r2 |
| 542 |
!db1duz = -6.0_dp * y * x / r2 |
| 543 |
|
| 544 |
!dVangdux = ca1 * da1dux + cb1 * db1dux |
| 545 |
!dVangduy = ca1 * da1duy + cb1 * db1duy |
| 546 |
!dVangduz = ca1 * da1duz + cb1 * db1duz |
| 547 |
|
| 548 |
dVangdux = cb1*y/rij |
| 549 |
dVangduy = 2.0*ca1*x*z/r2 - cb1*x/rij |
| 550 |
dVangduz = -2.0*ca1*y*x/r2 |
| 551 |
|
| 552 |
! do the torques first since they are easy: |
| 553 |
! remember that these are still in the body fixed axes |
| 554 |
|
| 555 |
tx = vdwMult * Vmorse * dVangdux * sw |
| 556 |
ty = vdwMult * Vmorse * dVangduy * sw |
| 557 |
tz = vdwMult * Vmorse * dVangduz * sw |
| 558 |
|
| 559 |
! go back to lab frame using transpose of rotation matrix: |
| 560 |
|
| 561 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
| 562 |
t1(1) = t1(1) + a1(1)*tx + a1(4)*ty + a1(7)*tz |
| 563 |
t1(2) = t1(2) + a1(2)*tx + a1(5)*ty + a1(8)*tz |
| 564 |
t1(3) = t1(3) + a1(3)*tx + a1(6)*ty + a1(9)*tz |
| 565 |
else |
| 566 |
t2(1) = t2(1) + a2(1)*tx + a2(4)*ty + a2(7)*tz |
| 567 |
t2(2) = t2(2) + a2(2)*tx + a2(5)*ty + a2(8)*tz |
| 568 |
t2(3) = t2(3) + a2(3)*tx + a2(6)*ty + a2(9)*tz |
| 569 |
endif |
| 570 |
|
| 571 |
! Now, on to the forces (still in body frame of water) |
| 572 |
|
| 573 |
fx = vdwMult * dvdx * sw |
| 574 |
fy = vdwMult * dvdy * sw |
| 575 |
fz = vdwMult * dvdz * sw |
| 576 |
|
| 577 |
! rotate the terms back into the lab frame: |
| 578 |
|
| 579 |
if (atid2.eq.MnM_Map%interactions(interaction_id)%metal_atid) then |
| 580 |
fxl = a1(1)*fx + a1(4)*fy + a1(7)*fz |
| 581 |
fyl = a1(2)*fx + a1(5)*fy + a1(8)*fz |
| 582 |
fzl = a1(3)*fx + a1(6)*fy + a1(9)*fz |
| 583 |
else |
| 584 |
! negative sign because this is the vector from j to i: |
| 585 |
fxl = -(a2(1)*fx + a2(4)*fy + a2(7)*fz) |
| 586 |
fyl = -(a2(2)*fx + a2(5)*fy + a2(8)*fz) |
| 587 |
fzl = -(a2(3)*fx + a2(6)*fy + a2(9)*fz) |
| 588 |
endif |
| 589 |
|
| 590 |
f1(1) = f1(1) + fxl |
| 591 |
f1(2) = f1(2) + fyl |
| 592 |
f1(3) = f1(3) + fzl |
| 593 |
|
| 594 |
return |
| 595 |
end subroutine calc_mnm_maw |
| 596 |
|
| 597 |
|
| 598 |
subroutine setMnMDefaultCutoff(thisRcut, shiftedPot, shiftedFrc) |
| 599 |
real(kind=dp), intent(in) :: thisRcut |
| 600 |
logical, intent(in) :: shiftedPot |
| 601 |
logical, intent(in) :: shiftedFrc |
| 602 |
integer i, nInteractions |
| 603 |
defaultCutoff = thisRcut |
| 604 |
defaultShiftPot = shiftedPot |
| 605 |
defaultShiftFrc = shiftedFrc |
| 606 |
|
| 607 |
if (associated(MnM_Map)) then |
| 608 |
if(MnM_Map%interactionCount /= 0) then |
| 609 |
nInteractions = MnM_Map%interactionCount |
| 610 |
|
| 611 |
do i = 1, nInteractions |
| 612 |
MnM_Map%interactions(i)%shiftedPot = shiftedPot |
| 613 |
MnM_Map%interactions(i)%shiftedFrc = shiftedFrc |
| 614 |
MnM_Map%interactions(i)%rCut = thisRcut |
| 615 |
MnM_Map%interactions(i)%rCutWasSet = .true. |
| 616 |
enddo |
| 617 |
end if |
| 618 |
end if |
| 619 |
|
| 620 |
end subroutine setMnMDefaultCutoff |
| 621 |
|
| 622 |
subroutine copyAllData(v1, v2) |
| 623 |
type(MnMinteractionMap), pointer :: v1 |
| 624 |
type(MnMinteractionMap), pointer :: v2 |
| 625 |
integer :: i, j |
| 626 |
|
| 627 |
do i = 1, v1%interactionCount |
| 628 |
v2%interactions(i) = v1%interactions(i) |
| 629 |
enddo |
| 630 |
|
| 631 |
v2%interactionCount = v1%interactionCount |
| 632 |
return |
| 633 |
end subroutine copyAllData |
| 634 |
|
| 635 |
subroutine addInteraction(myInteraction) |
| 636 |
type(MNMtype) :: myInteraction |
| 637 |
type(MnMinteraction) :: nt |
| 638 |
integer :: id |
| 639 |
|
| 640 |
nt%interaction_type = myInteraction%MNMInteractionType |
| 641 |
nt%metal_atid = & |
| 642 |
getFirstMatchingElement(atypes, "c_ident", myInteraction%metal_atid) |
| 643 |
nt%nonmetal_atid = & |
| 644 |
getFirstMatchingElement(atypes, "c_ident", myInteraction%nonmetal_atid) |
| 645 |
|
| 646 |
select case (nt%interaction_type) |
| 647 |
case (MNM_LENNARDJONES) |
| 648 |
nt%sigma = myInteraction%sigma |
| 649 |
nt%epsilon = myInteraction%epsilon |
| 650 |
case (MNM_REPULSIVEPOWER) |
| 651 |
nt%sigma = myInteraction%sigma |
| 652 |
nt%epsilon = myInteraction%epsilon |
| 653 |
nt%nRep = myInteraction%nRep |
| 654 |
case(MNM_REPULSIVEMORSE, MNM_SHIFTEDMORSE) |
| 655 |
nt%R0 = myInteraction%R0 |
| 656 |
nt%D0 = myInteraction%D0 |
| 657 |
nt%beta0 = myInteraction%beta0 |
| 658 |
case(MNM_MAW) |
| 659 |
nt%R0 = myInteraction%R0 |
| 660 |
nt%D0 = myInteraction%D0 |
| 661 |
nt%beta0 = myInteraction%beta0 |
| 662 |
nt%ca1 = myInteraction%ca1 |
| 663 |
nt%cb1 = myInteraction%cb1 |
| 664 |
case default |
| 665 |
call handleError("MNM", "Unknown Interaction type") |
| 666 |
end select |
| 667 |
|
| 668 |
if (.not. associated(MnM_Map)) then |
| 669 |
call ensureCapacityHelper(MnM_Map, 1) |
| 670 |
else |
| 671 |
call ensureCapacityHelper(MnM_Map, MnM_Map%interactionCount + 1) |
| 672 |
end if |
| 673 |
|
| 674 |
MnM_Map%interactionCount = MnM_Map%interactionCount + 1 |
| 675 |
id = MnM_Map%interactionCount |
| 676 |
MnM_Map%interactions(id) = nt |
| 677 |
end subroutine addInteraction |
| 678 |
|
| 679 |
subroutine ensureCapacityHelper(this, minCapacity) |
| 680 |
type(MnMinteractionMap), pointer :: this, that |
| 681 |
integer, intent(in) :: minCapacity |
| 682 |
integer :: oldCapacity |
| 683 |
integer :: newCapacity |
| 684 |
logical :: resizeFlag |
| 685 |
|
| 686 |
resizeFlag = .false. |
| 687 |
|
| 688 |
! first time: allocate a new vector with default size |
| 689 |
|
| 690 |
if (.not. associated(this)) then |
| 691 |
this => MnMinitialize(minCapacity, 0) |
| 692 |
endif |
| 693 |
|
| 694 |
oldCapacity = size(this%interactions) |
| 695 |
|
| 696 |
if (minCapacity > oldCapacity) then |
| 697 |
if (this%capacityIncrement .gt. 0) then |
| 698 |
newCapacity = oldCapacity + this%capacityIncrement |
| 699 |
else |
| 700 |
newCapacity = oldCapacity * 2 |
| 701 |
endif |
| 702 |
if (newCapacity .lt. minCapacity) then |
| 703 |
newCapacity = minCapacity |
| 704 |
endif |
| 705 |
resizeFlag = .true. |
| 706 |
else |
| 707 |
newCapacity = oldCapacity |
| 708 |
endif |
| 709 |
|
| 710 |
if (resizeFlag) then |
| 711 |
that => MnMinitialize(newCapacity, this%capacityIncrement) |
| 712 |
call copyAllData(this, that) |
| 713 |
this => MnMdestroy(this) |
| 714 |
this => that |
| 715 |
endif |
| 716 |
end subroutine ensureCapacityHelper |
| 717 |
|
| 718 |
function MnMinitialize(cap, capinc) result(this) |
| 719 |
integer, intent(in) :: cap, capinc |
| 720 |
integer :: error |
| 721 |
type(MnMinteractionMap), pointer :: this |
| 722 |
|
| 723 |
nullify(this) |
| 724 |
|
| 725 |
if (cap < 0) then |
| 726 |
write(*,*) 'Bogus Capacity:', cap |
| 727 |
return |
| 728 |
endif |
| 729 |
allocate(this,stat=error) |
| 730 |
if ( error /= 0 ) then |
| 731 |
write(*,*) 'Could not allocate MnMinteractionMap!' |
| 732 |
return |
| 733 |
end if |
| 734 |
|
| 735 |
this%initialCapacity = cap |
| 736 |
this%capacityIncrement = capinc |
| 737 |
|
| 738 |
allocate(this%interactions(this%initialCapacity), stat=error) |
| 739 |
if(error /= 0) write(*,*) 'Could not allocate MnMinteraction!' |
| 740 |
|
| 741 |
end function MnMinitialize |
| 742 |
|
| 743 |
subroutine createInteractionLookup(this) |
| 744 |
type (MnMInteractionMap),pointer :: this |
| 745 |
integer :: biggestAtid, i, metal_atid, nonmetal_atid, error |
| 746 |
|
| 747 |
biggestAtid=-1 |
| 748 |
do i = 1, this%interactionCount |
| 749 |
metal_atid = this%interactions(i)%metal_atid |
| 750 |
nonmetal_atid = this%interactions(i)%nonmetal_atid |
| 751 |
|
| 752 |
if (metal_atid .gt. biggestAtid) biggestAtid = metal_atid |
| 753 |
if (nonmetal_atid .gt. biggestAtid) biggestAtid = nonmetal_atid |
| 754 |
enddo |
| 755 |
|
| 756 |
allocate(MnMinteractionLookup(biggestAtid,biggestAtid), stat=error) |
| 757 |
if (error /= 0) write(*,*) 'Could not allocate MnMinteractionLookup' |
| 758 |
|
| 759 |
do i = 1, this%interactionCount |
| 760 |
metal_atid = this%interactions(i)%metal_atid |
| 761 |
nonmetal_atid = this%interactions(i)%nonmetal_atid |
| 762 |
|
| 763 |
MnMinteractionLookup(metal_atid, nonmetal_atid) = i |
| 764 |
MnMinteractionLookup(nonmetal_atid, metal_atid) = i |
| 765 |
enddo |
| 766 |
end subroutine createInteractionLookup |
| 767 |
|
| 768 |
function MnMdestroy(this) result(null_this) |
| 769 |
logical :: done |
| 770 |
type(MnMinteractionMap), pointer :: this |
| 771 |
type(MnMinteractionMap), pointer :: null_this |
| 772 |
|
| 773 |
if (.not. associated(this)) then |
| 774 |
null_this => null() |
| 775 |
return |
| 776 |
end if |
| 777 |
|
| 778 |
!! Walk down the list and deallocate each of the map's components |
| 779 |
if(associated(this%interactions)) then |
| 780 |
deallocate(this%interactions) |
| 781 |
this%interactions=>null() |
| 782 |
endif |
| 783 |
deallocate(this) |
| 784 |
this => null() |
| 785 |
null_this => null() |
| 786 |
end function MnMdestroy |
| 787 |
|
| 788 |
subroutine deleteInteractions() |
| 789 |
MnM_Map => MnMdestroy(MnM_Map) |
| 790 |
return |
| 791 |
end subroutine deleteInteractions |
| 792 |
|
| 793 |
subroutine getLJfunc(r, myPot, myDeriv) |
| 794 |
|
| 795 |
real(kind=dp), intent(in) :: r |
| 796 |
real(kind=dp), intent(inout) :: myPot, myDeriv |
| 797 |
real(kind=dp) :: ri, ri2, ri6, ri7, ri12, ri13 |
| 798 |
real(kind=dp) :: a, b, c, d, dx |
| 799 |
integer :: j |
| 800 |
|
| 801 |
ri = 1.0_DP / r |
| 802 |
ri2 = ri*ri |
| 803 |
ri6 = ri2*ri2*ri2 |
| 804 |
ri7 = ri6*ri |
| 805 |
ri12 = ri6*ri6 |
| 806 |
ri13 = ri12*ri |
| 807 |
|
| 808 |
myPot = 4.0_DP * (ri12 - ri6) |
| 809 |
myDeriv = 24.0_DP * (ri7 - 2.0_DP * ri13) |
| 810 |
|
| 811 |
return |
| 812 |
end subroutine getLJfunc |
| 813 |
|
| 814 |
subroutine getSoftFunc(r, myPot, myDeriv) |
| 815 |
|
| 816 |
real(kind=dp), intent(in) :: r |
| 817 |
real(kind=dp), intent(inout) :: myPot, myDeriv |
| 818 |
real(kind=dp) :: ri, ri2, ri6, ri7 |
| 819 |
real(kind=dp) :: a, b, c, d, dx |
| 820 |
integer :: j |
| 821 |
|
| 822 |
ri = 1.0_DP / r |
| 823 |
ri2 = ri*ri |
| 824 |
ri6 = ri2*ri2*ri2 |
| 825 |
ri7 = ri6*ri |
| 826 |
myPot = 4.0_DP * (ri6) |
| 827 |
myDeriv = - 24.0_DP * ri7 |
| 828 |
|
| 829 |
return |
| 830 |
end subroutine getSoftFunc |
| 831 |
|
| 832 |
subroutine getNRepulsionFunc(r, n, myPot, myDeriv) |
| 833 |
|
| 834 |
real(kind=dp), intent(in) :: r |
| 835 |
integer, intent(in) :: n |
| 836 |
real(kind=dp), intent(inout) :: myPot, myDeriv |
| 837 |
real(kind=dp) :: ri, rin, rin1 |
| 838 |
|
| 839 |
ri = 1.0_DP / r |
| 840 |
|
| 841 |
rin = ri**n |
| 842 |
rin1 = rin * ri |
| 843 |
|
| 844 |
myPot = rin |
| 845 |
myDeriv = -n * rin1 |
| 846 |
|
| 847 |
return |
| 848 |
end subroutine getNRepulsionFunc |
| 849 |
end module MetalNonMetal |
