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D infinity h symmetry

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  • job314
    job314
    job314
    wrote on last edited by
    #1

    For the isolated molecule such as CO2 which is D infinity h, what is the symmetry group? I could not find this one in the manual

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    • dmitoli
      dmitoli
      dmitoli
      Developer
      wrote on last edited by dmitoli
      #2

      Hi Jonas,

      CRYSTAL does not implement point groups with infinite-order rotations, so \(D_{\infty h}\) cannot be used directly. For linear molecules like CO₂, the practical approach is to approximate the symmetry using a finite-order rotation group.

      In this case, \(D_{4h}\) (i.e., 24) is a good option in CRYSTAL. It preserves the key degeneracies of linear molecules, including the doubly degenerate bending modes of CO₂. Using a lower-symmetry group like \(D_{2h}\) would artificially lift these degeneracies.

      Davide Mitoli, PhD
      Postdoctoral Researcher
      Department of Chemistry - University of Torino
      V. Giuria 5, 10125 Torino (Italy)
      https://github.com/davidemitoli

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      • job314
        job314
        job314
        wrote on last edited by
        #3

        Davide, a follow up question. Will that not affect the resulting thermodynamics? I mean translational or rotational (I can never remember) thermodynamics is dependent on symmetry and I am calculating thermodynamic quantities here

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        • dmitoli
          dmitoli
          dmitoli
          Developer
          wrote on last edited by
          #4

          If you fear that a reduced symmetry might influence the thermodynamic results, you can simply run the calculation without imposing any symmetry at all. For a 3-atom system like CO₂ the computational cost is so minimal that you can run both symmetry-free and \(D_{4h}\) calculations. Comparing the two results should give you an indication of whether the imposed symmetry has any impact on the quantities you are interested in.

          Davide Mitoli, PhD
          Postdoctoral Researcher
          Department of Chemistry - University of Torino
          V. Giuria 5, 10125 Torino (Italy)
          https://github.com/davidemitoli

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