void Hydrogen_Bonds( reax_system *system, control_params *control,
simulation_data *data, storage *workspace,
reax_list **lists, output_controls *out_control )
{
int i, j, k, pi, pk;
int type_i, type_j, type_k;
int start_j, end_j, hb_start_j, hb_end_j;
int hblist[MAX_BONDS];
int itr, top;
int num_hb_intrs = 0;
ivec rel_jk;
real r_ij, r_jk, theta, cos_theta, sin_xhz4, cos_xhz1, sin_theta2;
real e_hb, exp_hb2, exp_hb3, CEhb1, CEhb2, CEhb3;
rvec dcos_theta_di, dcos_theta_dj, dcos_theta_dk;
rvec dvec_jk, force, ext_press;
// rtensor temp_rtensor, total_rtensor;
hbond_parameters *hbp;
bond_order_data *bo_ij;
bond_data *pbond_ij;
far_neighbor_data *nbr_jk;
reax_list *bonds, *hbonds;
bond_data *bond_list;
hbond_data *hbond_list;
// tally variables
real fi_tmp[3], fk_tmp[3], delij[3], delkj[3];
bonds = (*lists) + BONDS;
bond_list = bonds->select.bond_list;
hbonds = (*lists) + HBONDS;
hbond_list = hbonds->select.hbond_list;
/* loops below discover the Hydrogen bonds between i-j-k triplets.
here j is H atom and there has to be some bond between i and j.
Hydrogen bond is between j and k.
so in this function i->X, j->H, k->Z when we map
variables onto the ones in the handout.*/
for( j = 0; j < system->n; ++j )
/* j has to be of type H */
if( system->reax_param.sbp[system->my_atoms[j].type].p_hbond == 1 ) {
/*set j's variables */
type_j = system->my_atoms[j].type;
start_j = Start_Index(j, bonds);
end_j = End_Index(j, bonds);
hb_start_j = Start_Index( system->my_atoms[j].Hindex, hbonds );
hb_end_j = End_Index( system->my_atoms[j].Hindex, hbonds );
top = 0;
for( pi = start_j; pi < end_j; ++pi ) {
pbond_ij = &( bond_list[pi] );
i = pbond_ij->nbr;
bo_ij = &(pbond_ij->bo_data);
type_i = system->my_atoms[i].type;
if( system->reax_param.sbp[type_i].p_hbond == 2 &&
bo_ij->BO >= HB_THRESHOLD )
hblist[top++] = pi;
}
// fprintf( stderr, "j: %d, top: %d, hb_start_j: %d, hb_end_j:%d\n",
// j, top, hb_start_j, hb_end_j );
for( pk = hb_start_j; pk < hb_end_j; ++pk ) {
/* set k's varibles */
k = hbond_list[pk].nbr;
type_k = system->my_atoms[k].type;
nbr_jk = hbond_list[pk].ptr;
r_jk = nbr_jk->d;
rvec_Scale( dvec_jk, hbond_list[pk].scl, nbr_jk->dvec );
for( itr = 0; itr < top; ++itr ) {
pi = hblist[itr];
pbond_ij = &( bonds->select.bond_list[pi] );
i = pbond_ij->nbr;
if( system->my_atoms[i].orig_id != system->my_atoms[k].orig_id ) {
bo_ij = &(pbond_ij->bo_data);
type_i = system->my_atoms[i].type;
r_ij = pbond_ij->d;
hbp = &(system->reax_param.hbp[ type_i ][ type_j ][ type_k ]);
++num_hb_intrs;
Calculate_Theta( pbond_ij->dvec, pbond_ij->d, dvec_jk, r_jk,
&theta, &cos_theta );
/* the derivative of cos(theta) */
Calculate_dCos_Theta( pbond_ij->dvec, pbond_ij->d, dvec_jk, r_jk,
&dcos_theta_di, &dcos_theta_dj,
&dcos_theta_dk );
/* hyrogen bond energy*/
sin_theta2 = sin( theta/2.0 );
sin_xhz4 = SQR(sin_theta2);
sin_xhz4 *= sin_xhz4;
cos_xhz1 = ( 1.0 - cos_theta );
exp_hb2 = exp( -hbp->p_hb2 * bo_ij->BO );
exp_hb3 = exp( -hbp->p_hb3 * ( hbp->r0_hb / r_jk +
r_jk / hbp->r0_hb - 2.0 ) );
data->my_en.e_hb += e_hb =
hbp->p_hb1 * (1.0 - exp_hb2) * exp_hb3 * sin_xhz4;
CEhb1 = hbp->p_hb1 * hbp->p_hb2 * exp_hb2 * exp_hb3 * sin_xhz4;
CEhb2 = -hbp->p_hb1/2.0 * (1.0 - exp_hb2) * exp_hb3 * cos_xhz1;
CEhb3 = -hbp->p_hb3 *
(-hbp->r0_hb / SQR(r_jk) + 1.0 / hbp->r0_hb) * e_hb;
/*fprintf( stdout,
"%6d%6d%6d%12.6f%12.6f%12.6f%12.6f%12.6f%12.6f%12.6f%12.6f%12.6f\n",
system->my_atoms[i].orig_id, system->my_atoms[j].orig_id,
system->my_atoms[k].orig_id,
r_jk, theta, hbp->p_hb1, exp_hb2, hbp->p_hb3, hbp->r0_hb,
exp_hb3, sin_xhz4, e_hb ); */
/* hydrogen bond forces */
bo_ij->Cdbo += CEhb1; // dbo term
if( control->virial == 0 ) {
// dcos terms
rvec_ScaledAdd( workspace->f[i], +CEhb2, dcos_theta_di );
rvec_ScaledAdd( workspace->f[j], +CEhb2, dcos_theta_dj );
rvec_ScaledAdd( workspace->f[k], +CEhb2, dcos_theta_dk );
// dr terms
rvec_ScaledAdd( workspace->f[j], -CEhb3/r_jk, dvec_jk );
rvec_ScaledAdd( workspace->f[k], +CEhb3/r_jk, dvec_jk );
}
else {
/* for pressure coupling, terms that are not related to bond order
derivatives are added directly into pressure vector/tensor */
rvec_Scale( force, +CEhb2, dcos_theta_di ); // dcos terms
rvec_Add( workspace->f[i], force );
rvec_iMultiply( ext_press, pbond_ij->rel_box, force );
rvec_ScaledAdd( data->my_ext_press, 1.0, ext_press );
rvec_ScaledAdd( workspace->f[j], +CEhb2, dcos_theta_dj );
ivec_Scale( rel_jk, hbond_list[pk].scl, nbr_jk->rel_box );
rvec_Scale( force, +CEhb2, dcos_theta_dk );
rvec_Add( workspace->f[k], force );
rvec_iMultiply( ext_press, rel_jk, force );
rvec_ScaledAdd( data->my_ext_press, 1.0, ext_press );
// dr terms
rvec_ScaledAdd( workspace->f[j], -CEhb3/r_jk, dvec_jk );
rvec_Scale( force, CEhb3/r_jk, dvec_jk );
rvec_Add( workspace->f[k], force );
rvec_iMultiply( ext_press, rel_jk, force );
rvec_ScaledAdd( data->my_ext_press, 1.0, ext_press );
}
/* tally into per-atom virials */
if (system->pair_ptr->vflag_atom || system->pair_ptr->evflag) {
rvec_ScaledSum( delij, 1., system->my_atoms[i].x,
-1., system->my_atoms[j].x );
rvec_ScaledSum( delkj, 1., system->my_atoms[k].x,
-1., system->my_atoms[j].x );
rvec_Scale(fi_tmp, CEhb2, dcos_theta_di);
rvec_Scale(fk_tmp, CEhb2, dcos_theta_dk);
rvec_ScaledAdd(fk_tmp, CEhb3/r_jk, dvec_jk);
system->pair_ptr->ev_tally3(i,j,k,e_hb,0.0,fi_tmp,fk_tmp,delij,delkj);
}
#ifdef TEST_ENERGY
/* fprintf( out_control->ehb,
"%24.15e%24.15e%24.15e\n%24.15e%24.15e%24.15e\n%24.15e%24.15e%24.15e\n",
dcos_theta_di[0], dcos_theta_di[1], dcos_theta_di[2],
dcos_theta_dj[0], dcos_theta_dj[1], dcos_theta_dj[2],
dcos_theta_dk[0], dcos_theta_dk[1], dcos_theta_dk[2]);
fprintf( out_control->ehb, "%24.15e%24.15e%24.15e\n",
CEhb1, CEhb2, CEhb3 ); */
fprintf( out_control->ehb,
//"%6d%6d%6d%24.15e%24.15e%24.15e%24.15e%24.15e\n",
"%6d%6d%6d%12.4f%12.4f%12.4f%12.4f%12.4f\n",
system->my_atoms[i].orig_id, system->my_atoms[j].orig_id,
system->my_atoms[k].orig_id,
r_jk, theta, bo_ij->BO, e_hb, data->my_en.e_hb );
#endif
#ifdef TEST_FORCES
Add_dBO( system, lists, j, pi, +CEhb1, workspace->f_hb ); //dbo term
// dcos terms
rvec_ScaledAdd( workspace->f_hb[i], +CEhb2, dcos_theta_di );
rvec_ScaledAdd( workspace->f_hb[j], +CEhb2, dcos_theta_dj );
rvec_ScaledAdd( workspace->f_hb[k], +CEhb2, dcos_theta_dk );
// dr terms
rvec_ScaledAdd( workspace->f_hb[j], -CEhb3/r_jk, dvec_jk );
rvec_ScaledAdd( workspace->f_hb[k], +CEhb3/r_jk, dvec_jk );
#endif
}
}
}
}
#if defined(DEBUG)
fprintf( stderr, "Number of hydrogen bonds: %d\n", num_hb_intrs );
fprintf( stderr, "Hydrogen Bond Energy: %g\n", data->my_en.e_hb );
fprintf( stderr, "hydbonds: ext_press (%24.15e %24.15e %24.15e)\n",
data->ext_press[0], data->ext_press[1], data->ext_press[2] );
#endif
}
void Bonds( reax_system *system, control_params *control,
simulation_data *data, storage *workspace, reax_list **lists,
output_controls *out_control )
{
int i, j, pj, natoms;
int start_i, end_i;
int type_i, type_j;
real ebond, pow_BOs_be2, exp_be12, CEbo;
real gp3, gp4, gp7, gp10, gp37;
real exphu, exphua1, exphub1, exphuov, hulpov, estriph;
real decobdbo, decobdboua, decobdboub;
single_body_parameters *sbp_i, *sbp_j;
two_body_parameters *twbp;
bond_order_data *bo_ij;
reax_list *bonds;
bonds = (*lists) + BONDS;
gp3 = system->reax_param.gp.l[3];
gp4 = system->reax_param.gp.l[4];
gp7 = system->reax_param.gp.l[7];
gp10 = system->reax_param.gp.l[10];
gp37 = (int) system->reax_param.gp.l[37];
natoms = system->n;
for( i = 0; i < natoms; ++i ) {
start_i = Start_Index(i, bonds);
end_i = End_Index(i, bonds);
for( pj = start_i; pj < end_i; ++pj ) {
j = bonds->select.bond_list[pj].nbr;
if( system->my_atoms[i].orig_id <= system->my_atoms[j].orig_id ) {
/* set the pointers */
type_i = system->my_atoms[i].type;
type_j = system->my_atoms[j].type;
sbp_i = &( system->reax_param.sbp[type_i] );
sbp_j = &( system->reax_param.sbp[type_j] );
twbp = &( system->reax_param.tbp[type_i][type_j] );
bo_ij = &( bonds->select.bond_list[pj].bo_data );
/* calculate the constants */
pow_BOs_be2 = pow( bo_ij->BO_s, twbp->p_be2 );
exp_be12 = exp( twbp->p_be1 * ( 1.0 - pow_BOs_be2 ) );
CEbo = -twbp->De_s * exp_be12 *
( 1.0 - twbp->p_be1 * twbp->p_be2 * pow_BOs_be2 );
/* calculate the Bond Energy */
data->my_en.e_bond += ebond =
-twbp->De_s * bo_ij->BO_s * exp_be12
-twbp->De_p * bo_ij->BO_pi
-twbp->De_pp * bo_ij->BO_pi2;
/* tally into per-atom energy */
if( system->evflag)
system->pair_ptr->ev_tally(i,j,natoms,1,ebond,0.0,0.0,0.0,0.0,0.0);
/* calculate derivatives of Bond Orders */
bo_ij->Cdbo += CEbo;
bo_ij->Cdbopi -= (CEbo + twbp->De_p);
bo_ij->Cdbopi2 -= (CEbo + twbp->De_pp);
#ifdef TEST_ENERGY
//fprintf( out_control->ebond, "%6d%6d%24.15e%24.15e%24.15e\n",
fprintf( out_control->ebond, "%6d%6d%12.4f%12.4f%12.4f\n",
system->my_atoms[i].orig_id,
system->my_atoms[j].orig_id,
bo_ij->BO, ebond, data->my_en.e_bond );
#endif
#ifdef TEST_FORCES
Add_dBO( system, lists, i, pj, CEbo, workspace->f_be );
Add_dBOpinpi2( system, lists, i, pj,
-(CEbo + twbp->De_p), -(CEbo + twbp->De_pp),
workspace->f_be, workspace->f_be );
#endif
/* Stabilisation terminal triple bond */
if( bo_ij->BO >= 1.00 ) {
if( gp37 == 2 ||
(sbp_i->mass == 12.0000 && sbp_j->mass == 15.9990) ||
(sbp_j->mass == 12.0000 && sbp_i->mass == 15.9990) ) {
exphu = exp( -gp7 * SQR(bo_ij->BO - 2.50) );
exphua1 = exp(-gp3 * (workspace->total_bond_order[i]-bo_ij->BO));
exphub1 = exp(-gp3 * (workspace->total_bond_order[j]-bo_ij->BO));
exphuov = exp(gp4 * (workspace->Delta[i] + workspace->Delta[j]));
hulpov = 1.0 / (1.0 + 25.0 * exphuov);
estriph = gp10 * exphu * hulpov * (exphua1 + exphub1);
data->my_en.e_bond += estriph;
decobdbo = gp10 * exphu * hulpov * (exphua1 + exphub1) *
( gp3 - 2.0 * gp7 * (bo_ij->BO-2.50) );
decobdboua = -gp10 * exphu * hulpov *
(gp3*exphua1 + 25.0*gp4*exphuov*hulpov*(exphua1+exphub1));
decobdboub = -gp10 * exphu * hulpov *
(gp3*exphub1 + 25.0*gp4*exphuov*hulpov*(exphua1+exphub1));
/* tally into per-atom energy */
if( system->evflag)
system->pair_ptr->ev_tally(i,j,natoms,1,estriph,0.0,0.0,0.0,0.0,0.0);
bo_ij->Cdbo += decobdbo;
workspace->CdDelta[i] += decobdboua;
workspace->CdDelta[j] += decobdboub;
#ifdef TEST_ENERGY
//fprintf( out_control->ebond,
// "%6d%6d%24.15e%24.15e%24.15e%24.15e\n",
// system->my_atoms[i].orig_id, system->my_atoms[j].orig_id,
// estriph, decobdbo, decobdboua, decobdboub );
#endif
#ifdef TEST_FORCES
Add_dBO( system, lists, i, pj, decobdbo, workspace->f_be );
Add_dDelta( system, lists, i, decobdboua, workspace->f_be );
Add_dDelta( system, lists, j, decobdboub, workspace->f_be );
#endif
}
}
}
}
}
}
