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DFT calculation of 6 configuration of Cu-Cl-water molacule

  • system energy
    • transition pathway
  • further
    • optical absorption? can be use for UV spectrum reasoning

2025-05-22

free energy (formation energy?) calculation

single Cu

  • /cucl/May23/cu singlecu2=-401.96197944 singlecu1=-403.07135668

single Cl

  • /cucl/May23/cl singlecl=-34.88951178

H2O

  • /cucl/May12/h2o singleh2o=-44.04153750

2025-05-23

drawing atomic model

  • color
    • Cu2+
      • #650065
      • #BE63BE
      • #E3BDDC
    • Cu1+
      • #A35331
      • #FFA57F
      • #FF8653
    • O
      • #7E7E7E
    • H
      • #BFBFBF
    • Cl
      • #1EFFEF #23b8ae

2025-05-25

  • maybe not correct (not pure Cu-Cl complex but with other atoms)
  • Cu(I)Cl2 bond distance (Cu-Cl) = 2.104 A
    • angle=175.9deg
  • Cu(I)Cl3 bond distance (Cu-Cl) = 2.165+-(12) A
    • angle=120(+-1.5) reference: https://www.mdpi.com/2304-6740/13/2/36
  • Cu(H2O)6
    • 6 coordinations structure
      • bond distance
        • in xy plane = 1.97A
        • z = 2.38A
      • /May25
        • relaxing
      • reference https://doi.org/10.1016/S0009-2614(00)01110-6
    • 5 coordinations structure
      • /May22/6W5L
        • relaxed scf finished
        • cuh2o6l5=-667.01612658
          • cuh2o6l5-singlecu2-singleh2o*6
            • -0.8049221400000306
      • reference https://pubs.acs.org/doi/abs/10.1021/jp1000804
    • 4 coordinations structures
      • 2 variants
        • 6W4L1
          • /May22/6W4L1/
          • relaxed scf finished
          • cuh2o6l41=-666.99439952
            • cuh2o6l41-singlecu2-singleh2o*6
              • -0.7831950800000413
        • 6W4L2
          • /May22/6W4L2/
          • relaxed scf finished
            • cuh2o6l42=-667.06330550
              • cuh2o6l42-singlecu2-singleh2o*6
                • -0.8521010599999954
      • reference https://pubs.acs.org/doi/abs/10.1021/jp1000804
  • CuCl(H2O)5
    • replace one h2o from 6W4L2
    • /May23/5W1Cl
      • relaxed scf finished
        • cuclh2o5=-658.25247725
          • cuclh2o5-singlecu2-singlecl-singleh2o*5
            • -1.1932985299999928
    • reference https://pubs.acs.org/doi/abs/10.1021/jp1000804
  • CuCl2(H2O)4
    • replace two h2o form 6W4L1
    • /May23/4W2Cl
      • relased scf finished
        • cucl2h2o4=-649.32743653
          • cucl2h2o4-singlecu2-singlecl2-singleh2o4
            • -1.4202835300000345
    • reference https://pubs.acs.org/doi/10.1021/jp909092p
  • Cu(I) chloride
    • CuCl
      • without water /May25/0W1Cl+1
        • relaxing
        • scf finished
          • cucl=-438.29948177
            • cucl-singlecu1-singlecl
              • -0.3386133099999924
      • may have 1 water molecule /May25/1W1Cl+1
        • relaxing
        • scf finished
          • cuclh2o=-482.42694170
            • cuclh2o-singlecu1-singlecl-singleh2o
              • -0.42453573999998184
      • reference https://doi.org/10.1016/S0009-2614(00)01110-6
    • CuCl2 -
      • /May23/0W2Cl+1
        • relaxed scf finished
          • cucl2=-473.36700849
            • cucl2-singlecu1-singlecl*2
              • -0.5166282499999824
      • reference https://doi.org/10.1016/S0009-2614(00)01110-6
    • CuCl3 2- at 25 C is found but with very weak bonded Cl-, at high Cl- concentration
    • reference: https://doi.org/10.1016/j.gca.2006.09.015
    • https://doi.org/10.1021/acs.analchem.5b00052
      • this paper pointed out, for Cu chloride, whatever valence, coordination number with Cl- increased with increasing Cl- ion concentration in solvation, predicted the existence of Cu(I)Cl3 2- even at low concentration.
      • but my calculation cant predict the structure of Cu(I)Cl3 2-, this paper also not considered the structure but only the reaction
    • https://doi.org/10.1016/j.gca.2012.10.027
      • Fig. 11
        • CuCl2 to CuCl3 at room temperature, log K < 0, not that stable
    • https://doi.org/10.1016/j.gca.2006.09.015
      • Fig .1 from reference
        • CuCl3 dominate only at high Cl concentration, low pH (<9)
  • Cl(H2O)6
    • /May25/Cl6W-1/
      • relaxed scf finished
        • clh2o6=-299.28590227
          • clh2o6-singlecl-singleh2o*6
            • -0.14716549000002033
    • reference https://doi.org/10.1039/C3CP50652E
      • chloride ion prefer coordinated with six water molecules, symmetrically H-bonding
      • essential degeneracy between water-water and water-Cl H-bonding, strong similarity in the water and chloride electronic structure
    • reference https://doi.org/10.1080/00268976.2015.1059959
      • PBE vdW XC AIMD, sixfold Cl-O coordination is dominated, in the first solvation shell surrounding the Cl- ion
      • O-Cl-O angular distribution showing $theta\approx 75 \degree$, indicating distorted trigonal prismatic structures

2025-05-26

energy diagram drawing

atomic model

  • /May26

results

  • atomic model
  • free energy (formation energy differnece)
    • cuh2o6l5
    • cuh2o6l41
    • cuclh2o5
    • cucl2h2o4
    • cu(I)cl
    • cucl(I)h2o
    • cu(I)cl2
  • Win11: Desktop/Cuion/model-2025May26/results_2025May26

doing:

  • Cl(H2O)6

not yet done:

  • 3W2Cl
    • modeling
  • 4W1Cl1
  • 4W1Cl2
  • 5W5L

2025-05-27

doing:

  • Cl(H2O)6
    • relaxing
  • 3W2Cl
    • relaxing
  • 4W1Cl1
    • relaxing
  • 4W1Cl2
    • relaxing
  • 5W5L
    • relaxing
  • methods
  • SI
    • graphing

Results

singleatom

singlecu2=-401.96197944 singlecu1=-403.07135668 singlecl=-34.88951178 singleh2o=-44.04153750

Cu2+

5L

  • 3W2Cl
    • [CuCl2(H2O)3]0
    • cucl2h2o3=-605.21675997
    • cucl2h2o3-singlecu2-singlecl*2-singleh2o*3
    • -1.3511444700000368
    • -18.38326632
  • 4W1Cl1
    • [CuCl(H2O)4]1+
    • cuclh2o4l1=-614.15869898
    • cuclh2o4l1-singlecu2-singlecl-singleh2o*4
    • -1.1410577600000806
    • -15.52488957
  • 4W1Cl2
    • [CuCl(H2O)4]1+
    • cuclh2o4l2=-614.13798055
    • cuclh2o4l2-singlecu2-singlecl-singleh2o*4
    • -1.1203393299999789
    • -15.24300082
  • 5W5L
    • [Cu(H2O)5]2+
    • cuh2o5=-622.85887760
    • cuh2o5-singlecu2-singleh2o*5
    • -0.6892106600000432
    • -9.377193477

6L

  • 4W2Cl1
    • [CuCl2(H2O)4]0
    • cucl2h2o41=-649.32743653
    • cucl2h2o41-singlecu2-singlecl*2-singleh2o*4
    • -1.4202835300000345
    • -19.32395162
  • 4W2Cl2
    • [CuCl2(H2O)4]0
    • cucl2h2o42=-649.31965224
    • cucl2h2o42-singlecu2-singlecl*2-singleh2o*4
    • -1.4124992400000167
    • -19.21804090966823
  • 5W1Cl
    • [CuCl(H2O)5]1+
    • cuclh2o5=-658.25247725
    • cuclh2o5-singlecu2-singlecl-singleh2o*5
    • -1.1932985299999928
    • -16.23566181
  • 6W4L1
    • [Cu(H2O)6]2+
    • cuh2o6l41=-666.99439952
    • cuh2o6l41-singlecu2-singleh2o*6
    • -0.7831950800000413
    • -10.6559173
  • 6W4L2
    • [Cu(H2O)6]2+
    • cuh2o6l42=-667.06330550
    • cuh2o6l42-singlecu2-singleh2o*6
    • -0.8521010599999954
    • -11.59343139
  • 6W5L
    • [Cu(H2O)6]2+
    • cuh2o6l5=-667.01612658
    • cuh2o6l5-singlecu2-singleh2o*6
    • -0.8049221400000306
    • -10.95152916

Cu1+

  • 0W1Cl+1
    • [CuCl]0
    • cucl=-438.29948177
    • cucl-singlecu1-singlecl
    • -0.3386133099999924
    • -4.607071112
  • 1W1Cl+1
    • [CuClH2O]0
    • cuclh2o=-482.42694170
    • cuclh2o-singlecu1-singlecl-singleh2o
    • -0.42453573999998184
    • -5.776105918
  • 0W2Cl+1
    • [CuCl2]1-
    • cucl2=-473.36700849
    • cucl2-singlecu1-singlecl*2
    • -0.5166282499999824
    • -7.029088981

Cl-1

  • Cl6W-1
    • [Cl(H2O)6]1-
    • clh2o6=-299.28590227
    • clh2o6-singlecl-singleh2o*6
    • -0.14716549000002033
    • -2.002289507

Reference

  • 2+ CuH2O and CuClH2O different configuration
    • reference https://pubs.acs.org/doi/abs/10.1021/jp1000804
  • 2+ CuCl2H2O different configuration
    • reference https://pubs.acs.org/doi/10.1021/jp909092p
  • DFT calculation MIT Chem
    • https://doi.org/10.1021/acs.jpclett.2c01026
    • B3LYP
    • single point
  • 1+ Cu
    • XAFS 2000
      • https://doi.org/10.1016/S0009-2614(00)01110-6
      • Cu1+ linear monochloro and dichloro species
      • no observes of chloride with higher coordination
    • AIMD 2007 Sherman
      • https://doi.org/10.1016/j.gca.2006.09.015
      • predict CuCl3 and CuCl4 at high concentration
    • AIMD 2013 Mei
      • https://doi.org/10.1016/j.gca.2012.10.027
      • low formation constant of CuCl3
    • XAS 2007 Brugger
      • https://doi.org/10.1016/j.gca.2007.08.003
      • only at very high concentration
    • Raman 2013 Applegarth
      • https://doi.org/10.1021/jp406580q
      • CuCl3 only at very high concentration
      • dft predicted linear
      • but dft can predict CuCl3 structure
  • Cl-
    • reference https://doi.org/10.1039/C3CP50652E
      • chloride ion prefer coordinated with six water molecules, symmetrically H-bonding
      • essential degeneracy between water-water and water-Cl H-bonding, strong similarity in the water and chloride electronic structure
    • reference https://doi.org/10.1080/00268976.2015.1059959
      • PBE vdW XC AIMD, sixfold Cl-O coordination is dominated, in the first solvation shell surrounding the Cl- ion
      • O-Cl-O angular distribution showing $theta\approx 75 \degree$, indicating distorted trigonal prismatic structures

        2025-06-03

        ADF in AMS

  • Task - Geometry Optimization
  • Frequencies - Yes
  • Total charge
  • Unrestricted - Yes
  • XC functional - Hybrid:B3LYP
  • Basis set - QZ4P
  • Frozen core - None
  • Numerical quality - Normal
  • Properties
    • Thermodynamics
      • Pressure - 1.0 atm
      • Temperatures - 298.15 K

can get

  • Entropy (cal/mol-K)
  • Energy from Engine (eV)
  • Internal Energy U (eV)
  • Gibbs free energy (eV)

    6W4L1

  • Entropy (cal/mol-K)
    • 119.220
  • Energy from Engine (eV)
    • -89.2638
  • Internal Energy U (eV)
    • -84.7040
  • Gibbs free energy (eV)
    • -86.2197

5W1Cl

  • Entropy (cal/mol-K)
    • 126.074
  • Energy from Engine (eV)
    • -85.9135
  • Internal Energy U (eV)
    • -82.0349
  • Gibbs free energy (eV)
    • -83.6392

4W2Cl

  • Entropy (cal/mol-K)
    • 115.666
  • Energy from Engine (eV)
    • -78.9343
  • Internal Energy U (eV)
    • -75.7699
  • Gibbs free energy (eV)
    • -77.2396

0W1Cl+1

  • Entropy (cal/mol-K)
    • 56.645
  • Energy from Engine (eV)
    • -5.3202
  • Internal Energy U (eV)
    • -5.2226
  • Gibbs free energy (eV)
    • -5.9292

1W1Cl+1

  • Entropy (cal/mol-K)
    • 72.495
  • Energy from Engine (eV)
    • -23.6026
  • Internal Energy U (eV)
    • -22.7601
  • Gibbs free energy (eV)
    • -23.6717

0W2Cl+1

  • Entropy (cal/mol-K)
    • 68.008
  • Energy from Engine (eV)
    • -13.2151
  • Internal Energy U (eV)
    • -13.0357
  • Gibbs free energy (eV)
    • -13.8893