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#include <cmath> | 
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#include "Atom.hpp" | 
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#include "SRI.hpp" | 
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#include "AbstractClasses.hpp" | 
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void NPTi::moveA() { | 
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  int i,j,k; | 
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  int atomIndex, aMatIndex; | 
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  int i, j; | 
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  DirectionalAtom* dAtom; | 
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  double Tb[3]; | 
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  double ji[3]; | 
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  double Tb[3], ji[3]; | 
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  double A[3][3], I[3][3]; | 
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  double angle, mass; | 
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  double vel[3], pos[3], frc[3]; | 
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 | 
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  double rj[3]; | 
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  double instaTemp, instaPress, instaVol; | 
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  double tt2, tb2; | 
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  double angle; | 
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  tt2 = tauThermostat * tauThermostat; | 
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  tb2 = tauBarostat * tauBarostat; | 
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  instaPress = tStats->getPressure(); | 
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  instaVol = tStats->getVolume(); | 
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    | 
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  // first evolve chi a half step | 
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   // first evolve chi a half step | 
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   | 
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  chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; | 
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  eta += dt2 * ( instaVol * (instaPress - targetPressure) / (NkBT*tb2)); | 
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  eta += dt2 * ( instaVol * (instaPress - targetPressure) /  | 
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                 (p_convert*NkBT*tb2)); | 
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  for( i=0; i<nAtoms; i++ ){ | 
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    atomIndex = i * 3; | 
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    aMatIndex = i * 9; | 
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     | 
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    // velocity half step | 
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    for( j=atomIndex; j<(atomIndex+3); j++ ) | 
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      vel[j] += dt2 * ((frc[j]/atoms[i]->getMass())*eConvert  | 
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                       - vel[j]*(chi+eta)); | 
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    atoms[i]->getVel( vel ); | 
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    atoms[i]->getPos( pos ); | 
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    atoms[i]->getFrc( frc ); | 
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    // position whole step     | 
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    mass = atoms[i]->getMass(); | 
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    rj[0] = pos[atomIndex]; | 
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    rj[1] = pos[atomIndex+1]; | 
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    rj[2] = pos[atomIndex+2]; | 
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    for (j=0; j < 3; j++) { | 
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      vel[j] += dt2 * ((frc[j] / mass ) * eConvert - vel[j]*(chi+eta)); | 
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      rj[j] = pos[j]; | 
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    } | 
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    atoms[i]->setVel( vel ); | 
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    info->wrapVector(rj); | 
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    pos[atomIndex] += dt * (vel[atomIndex] + eta*rj[0]); | 
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    pos[atomIndex+1] += dt * (vel[atomIndex+1] + eta*rj[1]); | 
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    pos[atomIndex+2] += dt * (vel[atomIndex+2] + eta*rj[2]); | 
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    | 
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    for (j = 0; j < 3; j++)  | 
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      pos[j] += dt * (vel[j] + eta*rj[j]); | 
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    atoms[i]->setPos( pos ); | 
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    if( atoms[i]->isDirectional() ){ | 
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      dAtom = (DirectionalAtom *)atoms[i]; | 
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      // get and convert the torque to body frame | 
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      Tb[0] = dAtom->getTx(); | 
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      Tb[1] = dAtom->getTy(); | 
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      Tb[2] = dAtom->getTz(); | 
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      dAtom->getTrq( Tb ); | 
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      dAtom->lab2Body( Tb ); | 
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      // get the angular momentum, and propagate a half step | 
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      ji[0] = dAtom->getJx(); | 
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      ji[1] = dAtom->getJy(); | 
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      ji[2] = dAtom->getJz(); | 
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      dAtom->getJ( ji ); | 
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      for (j=0; j < 3; j++)  | 
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        ji[j] += dt2 * (Tb[j] * eConvert - ji[j]*chi); | 
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      ji[0] += dt2 * (Tb[0] * eConvert - ji[0]*chi); | 
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      ji[1] += dt2 * (Tb[1] * eConvert - ji[1]*chi); | 
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      ji[2] += dt2 * (Tb[2] * eConvert - ji[2]*chi); | 
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      // use the angular velocities to propagate the rotation matrix a | 
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      // full time step | 
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      dAtom->getA(A); | 
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      dAtom->getI(I); | 
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      // rotate about the x-axis       | 
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      angle = dt2 * ji[0] / dAtom->getIxx(); | 
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      this->rotate( 1, 2, angle, ji, &Amat[aMatIndex] );  | 
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      angle = dt2 * ji[0] / I[0][0]; | 
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      this->rotate( 1, 2, angle, ji, A );  | 
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      // rotate about the y-axis | 
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      angle = dt2 * ji[1] / dAtom->getIyy(); | 
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      this->rotate( 2, 0, angle, ji, &Amat[aMatIndex] ); | 
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      angle = dt2 * ji[1] / I[1][1]; | 
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      this->rotate( 2, 0, angle, ji, A ); | 
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      // rotate about the z-axis | 
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      angle = dt * ji[2] / dAtom->getIzz(); | 
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      this->rotate( 0, 1, angle, ji, &Amat[aMatIndex] ); | 
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      angle = dt * ji[2] / I[2][2]; | 
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      this->rotate( 0, 1, angle, ji, A); | 
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      // rotate about the y-axis | 
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      angle = dt2 * ji[1] / dAtom->getIyy(); | 
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      this->rotate( 2, 0, angle, ji, &Amat[aMatIndex] ); | 
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      angle = dt2 * ji[1] / I[1][1]; | 
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      this->rotate( 2, 0, angle, ji, A ); | 
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       // rotate about the x-axis | 
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      angle = dt2 * ji[0] / dAtom->getIxx(); | 
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      this->rotate( 1, 2, angle, ji, &Amat[aMatIndex] ); | 
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      angle = dt2 * ji[0] / I[0][0]; | 
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      this->rotate( 1, 2, angle, ji, A ); | 
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      dAtom->setJx( ji[0] ); | 
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      dAtom->setJy( ji[1] ); | 
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      dAtom->setJz( ji[2] ); | 
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    } | 
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      dAtom->setJ( ji ); | 
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      dAtom->setA( A  );     | 
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    }                 | 
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  } | 
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  // Scale the box after all the positions have been moved: | 
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  info->scaleBox(exp(dt*eta)); | 
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  cerr << "eta = " << eta  | 
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       << "; exp(dt*eta) = " << exp(eta*dt) << "\n"; | 
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  info->scaleBox(exp(dt*eta));   | 
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} | 
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void NPTi::moveB( void ){ | 
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< | 
  int i,j,k; | 
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< | 
  int atomIndex; | 
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> | 
 | 
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  int i, j; | 
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  DirectionalAtom* dAtom; | 
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< | 
  double Tb[3]; | 
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< | 
  double ji[3]; | 
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  double Tb[3], ji[3]; | 
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  double vel[3], frc[3]; | 
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  double mass; | 
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 | 
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  double instaTemp, instaPress, instaVol; | 
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  double tt2, tb2; | 
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  instaVol = tStats->getVolume(); | 
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  chi += dt2 * ( instaTemp / targetTemp - 1.0) / tt2; | 
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< | 
  eta += dt2 * ( instaVol * (instaPress - targetPressure) / (NkBT*tb2)); | 
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  eta += dt2 * ( instaVol * (instaPress - targetPressure) /  | 
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                 (p_convert*NkBT*tb2)); | 
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  for( i=0; i<nAtoms; i++ ){ | 
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    atomIndex = i * 3; | 
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    atoms[i]->getVel( vel ); | 
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    atoms[i]->getFrc( frc ); | 
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    mass = atoms[i]->getMass(); | 
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 | 
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    // velocity half step | 
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    for( j=atomIndex; j<(atomIndex+3); j++ ) | 
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    for( j=atomIndex; j<(atomIndex+3); j++ ) | 
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      vel[j] += dt2 * ((frc[j]/atoms[i]->getMass())*eConvert  | 
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                       - vel[j]*(chi+eta)); | 
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    for (j=0; j < 3; j++)  | 
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      vel[j] += dt2 * ((frc[j] / mass ) * eConvert - vel[j]*(chi+eta)); | 
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    atoms[i]->setVel( vel ); | 
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    if( atoms[i]->isDirectional() ){ | 
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      dAtom = (DirectionalAtom *)atoms[i]; | 
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      // get and convert the torque to body frame | 
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      Tb[0] = dAtom->getTx(); | 
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      Tb[1] = dAtom->getTy(); | 
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      Tb[2] = dAtom->getTz(); | 
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      // get and convert the torque to body frame       | 
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      dAtom->getTrq( Tb ); | 
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      dAtom->lab2Body( Tb ); | 
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      // get the angular momentum, and complete the angular momentum | 
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      // half step | 
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      ji[0] = dAtom->getJx(); | 
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      ji[1] = dAtom->getJy(); | 
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      ji[2] = dAtom->getJz(); | 
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      ji[0] += dt2 * (Tb[0] * eConvert - ji[0]*chi); | 
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      ji[1] += dt2 * (Tb[1] * eConvert - ji[1]*chi); | 
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      ji[2] += dt2 * (Tb[2] * eConvert - ji[2]*chi); | 
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      dAtom->setJx( ji[0] ); | 
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      dAtom->setJy( ji[1] ); | 
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      dAtom->setJz( ji[2] ); | 
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 | 
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      // get the angular momentum, and propagate a half step | 
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      dAtom->getJ( ji ); | 
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      for (j=0; j < 3; j++)  | 
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        ji[j] += dt2 * (Tb[j] * eConvert - ji[j]*chi);      | 
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      dAtom->setJ( ji ); | 
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    } | 
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  } | 
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} |