<div dir="ltr">Dear all,<div>I am studying cp2k, and I want to use umbrella integration to calculate the PMF of NaCl. Here follows the example of the input files of NaCl solution, and the distance of Na-Cl is 2.5 A. Some part of the output file was followed. I am wondering what meaning of (<font color="#ff0000">eval_cov_matrix          82          84   4.8791450923533191        1.2895562591097587E-004</font>) and how could them be used to calculate the free energy?</div><div><br></div><div>Many thanks for your help.</div><div>Merry Chrismas!</div><div><br></div><div>Wei</div><div><br></div><div><div><div>#</div><div># NaCl in water</div><div>#</div><div>&FORCE_EVAL</div><div>  METHOD FIST</div><div>  &MM</div><div>    &FORCEFIELD</div><div>      &SPLINE</div><div>        EMAX_SPLINE 300000.0</div><div>      &END</div><div>      &BEND</div><div>        ATOMS H O H</div><div>        KIND HARMONIC</div><div>        K [rad^-2kcalmol] 110.0</div><div>        THETA0 [deg] 104.52</div><div>      &END BEND</div><div>      &BOND</div><div>        ATOMS O H</div><div>        KIND HARMONIC</div><div>        K [angstrom^-2kcalmol] 900.0 </div><div>        R0 [angstrom] 0.9572</div><div>      &END BOND</div><div>      &CHARGE</div><div>        ATOM Na</div><div>        CHARGE 1.0</div><div>      &END CHARGE</div><div>      &CHARGE</div><div>        ATOM Cl</div><div>        CHARGE -1.0</div><div>      &END CHARGE</div><div>      &CHARGE</div><div>        ATOM O</div><div>        CHARGE -0.834</div><div>      &END CHARGE</div><div>      &CHARGE</div><div>        ATOM H</div><div>        CHARGE 0.417</div><div>      &END CHARGE</div><div>      &NONBONDED</div><div>        &LENNARD-JONES</div><div>          atoms O O</div><div>          EPSILON [kcalmol]  0.152073</div><div>          SIGMA   [angstrom] 3.1507</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms O H</div><div>          EPSILON [kcalmol] 0.0836</div><div>          SIGMA [angstrom] 1.775</div><div>          RCUT  [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms H H</div><div>          EPSILON [kcalmol]  0.04598</div><div>          SIGMA   [angstrom] 0.400</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Na Na</div><div>          EPSILON [kcalmol]  0.0469</div><div>          SIGMA   [angstrom] 2.7275</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Na O</div><div>          EPSILON [kcalmol]  .08445</div><div>          SIGMA   [angstrom] 2.93</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Na H</div><div>          EPSILON [kcalmol]  .0464</div><div>          SIGMA   [angstrom] 1.5637</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Na Cl</div><div>          EPSILON [kcalmol]  .0838</div><div>          SIGMA   [angstrom] 3.63</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Cl Cl</div><div>          EPSILON [kcalmol]  0.150</div><div>          SIGMA   [angstrom] 4.54</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Cl O</div><div>          EPSILON [kcalmol]  .151</div><div>          SIGMA   [angstrom] 3.84</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>        &LENNARD-JONES</div><div>          atoms Cl H</div><div>          EPSILON [kcalmol]  .083</div><div>          SIGMA   [angstrom] 2.47</div><div>          RCUT    [angstrom] 11.4</div><div>        &END LENNARD-JONES</div><div>      &END NONBONDED</div><div>    &END FORCEFIELD</div><div>    &POISSON</div><div>      &EWALD</div><div>        EWALD_TYPE spme</div><div>        ALPHA .3</div><div>        GMAX 12</div><div>        O_SPLINE 6</div><div>      &END EWALD</div><div>    &END POISSON</div><div>  &END MM</div><div>  &SUBSYS</div><div>    &CELL</div><div>      ABC 12.4138 12.4138 12.4138</div><div>    &END CELL</div><div>     &COORD</div><div>@INCLUDE 'coord-2.5'</div><div>     &END COORD</div><div>     &COLVAR</div><div>      &DISTANCE</div><div>        ATOMS 190 191</div><div>      &END DISTANCE</div><div>      !&PRINT</div><div>         !&PROGRAM_RUN_INFO ON</div><div>          ! &EACH</div><div>           !   MD  1</div><div>    !       &END EACH</div><div>        !&END PROGRAM_RUN_INFO</div><div>      !&END PRINT</div><div>     &END COLVAR</div><div>    &TOPOLOGY</div><div>      CONNECTIVITY GENERATE</div><div>      &GENERATE</div><div>        BONDLENGTH_MAX 7</div><div>      &END</div><div>    &END</div><div>  &END SUBSYS</div><div>&END FORCE_EVAL</div><div><br></div><div>&MOTION</div><div> &CONSTRAINT</div><div>    &COLLECTIVE</div><div>      COLVAR 1</div><div>      INTERMOLECULAR</div><div>      TARGET [angstrom] 2.5</div><div>      &RESTRAINT</div><div>        K [kcalmol] 200</div><div>      &END RESTRAINT</div><div>    &END COLLECTIVE</div><div>    !&LAGRANGE_MULTIPLIERS</div><div>      !COMMON_ITERATION_LEVELS 3</div><div>    !&END</div><div> &END CONSTRAINT</div><div> &MD</div><div>   ENSEMBLE NVT</div><div>   TIMESTEP 0.5</div><div>   STEPS    2000</div><div>   TEMPERATURE 350</div><div>   &THERMOSTAT</div><div>     REGION    GLOBAL              </div><div>     &NOSE</div><div>       LENGTH 3</div><div>       YOSHIDA 3</div><div>       TIMECON 1000</div><div>       MTS 2</div><div>     &END NOSE</div><div>   &END</div><div>   &PRINT </div><div>     &ENERGY</div><div>        &EACH</div><div>           MD 1</div><div>        &END</div><div>     &END ENERGY</div><div>     !&PROGRAM_RUN_INFO</div><div>       ! &EACH</div><div>        !   MD 1</div><div>        !&END</div><div>     !&END PROGRAM_RUN_INFO</div><div>   &END PRINT</div><div> &END MD</div><div> &PRINT </div><div>  &TRAJECTORY</div><div>     &EACH</div><div>        MD 1</div><div>     &END</div><div>  &END</div><div>  &VELOCITIES OFF</div><div>  &END VELOCITIES</div><div>  &FORCES OFF</div><div>  &END FORCES</div><div>  &RESTART_HISTORY OFF</div><div>  &END RESTART_HISTORY </div><div>  &RESTART OFF</div><div>  &END RESTART</div><div> &END PRINT</div><div> &GEO_OPT</div><div>   OPTIMIZER LBFGS</div><div> &END</div><div><br></div><div>&FREE_ENERGY</div><div>    METHOD UI</div><div>    &UMBRELLA_INTEGRATION</div><div>     &CONVERGENCE_CONTROL</div><div>        EPS_CONV 0.5</div><div>        COARSE_GRAINED_WIDTH     3</div><div>        MAX_COARSE_GRAINED_WIDTH 3</div><div>        COARSE_GRAINED_POINTS    2</div><div>     &END CONVERGENCE_CONTROL</div><div>     &UVAR</div><div>       COLVAR 1</div><div>     &END UVAR</div><div>    &END UMBRELLA_INTEGRATION</div><div>    </div><div>    &FREE_ENERGY_INFO</div><div>      COMMON_ITERATION_LEVELS 1</div><div>      &EACH </div><div>        MD 1</div><div>      &END EACH</div><div>    &END FREE_ENERGY_INFO</div><div>  &END</div><div>&END MOTION</div><div>&GLOBAL</div><div>  PROJECT NACL-CONSTRAINED-2.5-3</div><div>  RUN_TYPE MD</div><div>  IOLEVEL LOW</div><div>  &PRINT</div><div>   PHYSCON</div><div>  &END PRINT</div><div>&END GLOBAL</div></div><div><br></div><div><b><font color="#ff0000">output:</font></b></div><div><br></div><div><div> ENERGY| Total FORCE_EVAL ( FIST ) energy (a.u.):             -1.140112705278208</div><div><br></div><div> COLVAR::   4.8903632470564613     </div><div>          82          82</div><div><br></div><div> *******************************************************************************</div><div> ENSEMBLE TYPE                =                                              NVT</div><div> STEP NUMBER                  =                                               82</div><div> TIME [fs]                    =                                        41.000000</div><div> CONSERVED QUANTITY [hartree] =                              -0.846052947201E+00</div><div><br></div><div>                                              INSTANTANEOUS             AVERAGES</div><div> CPU TIME [s]                 =                        0.01                 0.01</div><div> ENERGY DRIFT PER ATOM [K]    =          0.373834318693E+00   0.118177365928E-01</div><div> POTENTIAL ENERGY[hartree]    =         -0.114011270528E+01  -0.113335123442E+01</div><div> KINETIC ENERGY [hartree]     =          0.292558333950E+00   0.286028884488E+00</div><div> TEMPERATURE [K]              =                     324.149              316.915</div><div> *******************************************************************************</div><div><br></div><div><br></div><div> ENERGY| Total FORCE_EVAL ( FIST ) energy (a.u.):             -1.145923868073005</div><div><br></div><div> COLVAR::   4.8794156731299481     </div><div>          83          83</div><div><br></div><div> *******************************************************************************</div><div> ENSEMBLE TYPE                =                                              NVT</div><div> STEP NUMBER                  =                                               83</div><div> TIME [fs]                    =                                        41.500000</div><div> CONSERVED QUANTITY [hartree] =                              -0.846293102603E+00</div><div><br></div><div>                                              INSTANTANEOUS             AVERAGES</div><div> CPU TIME [s]                 =                        0.01                 0.01</div><div> ENERGY DRIFT PER ATOM [K]    =         -0.232075005042E-01   0.113957457844E-01</div><div> POTENTIAL ENERGY[hartree]    =         -0.114592386807E+01  -0.113350271193E+01</div><div> KINETIC ENERGY [hartree]     =          0.298118106873E+00   0.286174537770E+00</div><div> TEMPERATURE [K]              =                     330.309              317.076</div><div> *******************************************************************************</div><div><br></div><div><br></div><div> ENERGY| Total FORCE_EVAL ( FIST ) energy (a.u.):             -1.151438173429435</div><div><br></div><div> COLVAR::   4.8676563568735487     </div><div>          84          84</div><div> *******************************************************************************</div><div>                             FREE ENERGY CALCULATION</div><div><br></div><div>          84           3</div><div>          82          84</div><div> eval_cov_matrix          82          84   4.8791450923533191        1.2895562591097587E-004</div><div>          79          81</div><div> eval_cov_matrix          79          81   4.9088196261817298        6.8493458343255043E-005</div><div>          76          78</div><div> eval_cov_matrix          76          78   4.9276165349320822        1.7493356395448245E-005</div><div>          73          75</div><div> eval_cov_matrix          73          75   4.9331984582015895        4.2806313160781428E-007</div><div>          70          72</div><div> eval_cov_matrix          70          72   4.9248292229843216        2.5841844411900183E-005</div><div>          67          69</div><div> eval_cov_matrix          67          69   4.9034737225850238        8.2163081351893652E-005</div><div>          64          66</div><div> eval_cov_matrix          64          66   4.8717144712694900        1.4267166679360344E-004</div><div>          61          63</div><div> eval_cov_matrix          61          63   4.8334807396779205        1.7780849109527708E-004</div><div>          58          60</div><div> eval_cov_matrix          58          60   4.7936121609791531        1.6946047939825348E-004</div><div>          55          57</div><div> eval_cov_matrix          55          57   4.7572917091301408        1.2068974226764340E-004</div></div><div><br></div><div><br></div></div></div>