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FIX: more flexible ECP format
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trex.org
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trex.org
@ -122,7 +122,7 @@ arrays are 0-based. Hence, we introduce the ~index~ type which is an
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\[
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V_A^{\text{ECP}} =
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V_{A \ell_{\max}} +
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\sum_{\ell=0}^{\ell_{\max} -1}
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\sum_{\ell=0}^{\ell_{\max}-1}
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\sum_{m=-\ell}^{\ell} | Y_{\ell m} \rangle \left[
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V_{A \ell} - V_{A \ell_{\max}} \right] \langle Y_{\ell m} |
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\]
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@ -138,20 +138,24 @@ arrays are 0-based. Hence, we introduce the ~index~ type which is an
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See http://dx.doi.org/10.1063/1.4984046 for more info.
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#+NAME: ecp
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| Variable | Type | Dimensions | Description |
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|-----------------------+---------+------------------------------------------+----------------------------------------------------------------------------------------------|
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| ~lmax_plus_1~ | ~int~ | ~(nucleus.num)~ | $\ell_{\max} + 1$, one higher than the maximum angular momentum in the removed core orbitals |
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| ~z_core~ | ~float~ | ~(nucleus.num)~ | Charges to remove |
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| ~local_n~ | ~int~ | ~(nucleus.num)~ | Number of local functions $N_{q \ell}$ |
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| ~local_num_n_max~ | ~dim~ | | Maximum value of ~local_n~, used for dimensioning arrays |
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| ~local_exponent~ | ~float~ | ~(ecp.local_num_n_max, nucleus.num)~ | $\alpha_{A q \ell_{\max}}$ |
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| ~local_coef~ | ~float~ | ~(ecp.local_num_n_max, nucleus.num)~ | $\beta_{A q \ell_{\max}}$ |
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| ~local_power~ | ~int~ | ~(ecp.local_num_n_max, nucleus.num)~ | $n_{A q \ell_{\max}}$ |
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| ~non_local_n~ | ~int~ | ~(nucleus.num)~ | $N_{q \ell_{\max}}$ |
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| ~non_local_num_n_max~ | ~dim~ | | Maximum value of ~non_local_n~, used for dimensioning arrays |
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| ~non_local_exponent~ | ~float~ | ~(ecp.non_local_num_n_max, nucleus.num)~ | $\alpha_{A q \ell}$ |
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| ~non_local_coef~ | ~float~ | ~(ecp.non_local_num_n_max, nucleus.num)~ | $\beta_{A q \ell}$ |
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| ~non_local_power~ | ~int~ | ~(ecp.non_local_num_n_max, nucleus.num)~ | $n_{A q \ell}$ |
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| Variable | Type | Dimensions | Description |
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|---------------+---------+-----------------+-----------------------------------------------------------------------------|
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| ~max_ang_mom~ | ~int~ | ~(nucleus.num)~ | $\ell_{\max}$ the maximum angular momentum in the removed core orbitals |
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| ~z_core~ | ~float~ | ~(nucleus.num)~ | Charges to remove |
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| ~num~ | ~dim~ | | Total number of ECP functions for all atoms and all values of $\ell$ |
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| ~ang_mom~ | ~int~ | ~(ecp.num)~ | One-to-one correspondence between ECP items and the angular momentum $\ell$ |
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| ~nucleus~ | ~index~ | ~(ecp.num)~ | One-to-one correspondence between ECP items and the atom index |
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| ~exponent~ | ~float~ | ~(ecp.num)~ | $\alpha_{A q \ell}$ all ECP exponents |
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| ~coefficient~ | ~float~ | ~(ecp.num)~ | $\beta_{A q \ell}$ all ECP coefficients |
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| ~power~ | ~int~ | ~(ecp.num)~ | $n_{A q \ell}$ all ECP powers |
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*Note for developers*: avoid having variables with similar prefix in their name.
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HDF5 back end might cause issues due to the way `find_dataset` function works
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in the H5LT module. For example, in the ECP group we use ~max_ang_mom~ and
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~ang_mom_max~ due to this.
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The latter causes issues when written before ~ang_mom~ in the TREXIO file.
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#+CALL: json(data=ecp, title="ecp")
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@ -159,22 +163,20 @@ arrays are 0-based. Hence, we introduce the ~index~ type which is an
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:RESULTS:
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#+begin_src python :tangle trex.json
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"ecp": {
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"lmax_plus_1" : [ "int" , [ "nucleus.num" ] ]
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, "z_core" : [ "float", [ "nucleus.num" ] ]
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, "local_n" : [ "int" , [ "nucleus.num" ] ]
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, "local_num_n_max" : [ "dim" , [] ]
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, "local_exponent" : [ "float", [ "nucleus.num", "ecp.local_num_n_max" ] ]
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, "local_coef" : [ "float", [ "nucleus.num", "ecp.local_num_n_max" ] ]
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, "local_power" : [ "int" , [ "nucleus.num", "ecp.local_num_n_max" ] ]
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, "non_local_n" : [ "int" , [ "nucleus.num" ] ]
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, "non_local_num_n_max" : [ "dim" , [] ]
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, "non_local_exponent" : [ "float", [ "nucleus.num", "ecp.non_local_num_n_max" ] ]
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, "non_local_coef" : [ "float", [ "nucleus.num", "ecp.non_local_num_n_max" ] ]
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, "non_local_power" : [ "int" , [ "nucleus.num", "ecp.non_local_num_n_max" ] ]
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"max_ang_mom" : [ "int" , [ "nucleus.num" ] ]
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, "z_core" : [ "float", [ "nucleus.num" ] ]
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, "num" : [ "dim" , [] ]
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, "ang_mom" : [ "int" , [ "ecp.num" ] ]
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, "nucleus" : [ "index", [ "ecp.num" ] ]
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, "exponent" : [ "float", [ "ecp.num" ] ]
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, "coefficient" : [ "float", [ "ecp.num" ] ]
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, "power" : [ "int" , [ "ecp.num" ] ]
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} ,
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#+end_src
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:END:
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* Basis set (basis group)
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We consider here basis functions centered on nuclei. Hence, we enable
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