diff --git a/trex.org b/trex.org index e36bf19..4f39208 100644 --- a/trex.org +++ b/trex.org @@ -215,20 +215,17 @@ arrays are 0-based. Hence, we introduce the ~index~ type which is an All the basis set parameters are stored in one-dimensional arrays: #+NAME: basis - | Variable | Type | Dimensions | Description | - |---------------------+---------+--------------------+----------------------------------------------------------| - | ~type~ | ~str~ | | Type of basis set: "Gaussian" or "Slater" | - | ~num~ | ~dim~ | | Total Number of shells | - | ~prim_num~ | ~dim~ | | Total number of primitives | - | ~nucleus_index~ | ~index~ | ~(nucleus.num)~ | Index of the first shell of each nucleus ($A$) | - | ~nucleus_shell_num~ | ~int~ | ~(nucleus.num)~ | Number of shells for each nucleus | - | ~shell_ang_mom~ | ~int~ | ~(basis.num)~ | Angular momentum ~0:S, 1:P, 2:D, ...~ | - | ~shell_prim_num~ | ~int~ | ~(basis.num)~ | Number of primitives in the shell ($N_{\text{prim}}$) | - | ~shell_factor~ | ~float~ | ~(basis.num)~ | Normalization factor of the shell ($\mathcal{N}_s$) | - | ~shell_prim_index~ | ~index~ | ~(basis.num)~ | Index of the first primitive in the complete list | - | ~exponent~ | ~float~ | ~(basis.prim_num)~ | Exponents of the primitives ($\gamma_{ks}$) | - | ~coefficient~ | ~float~ | ~(basis.prim_num)~ | Coefficients of the primitives ($a_{ks}$) | - | ~prim_factor~ | ~float~ | ~(basis.prim_num)~ | Normalization coefficients for the primitives ($f_{ks}$) | + | Variable | Type | Dimensions | Description | + |-----------------+---------+---------------+------------------------------------------------------------------| + | ~type~ | ~str~ | | Type of basis set: "Gaussian" or "Slater" | + | ~num~ | ~dim~ | | Total number of primitives | + | ~nucleus_index~ | ~index~ | ~(basis.num)~ | One-to-one correspondence between primitives and atomic indices | + | ~ang_mom~ | ~int~ | ~(basis.num)~ | One-to-one correspondence between primitives and angular momenta | + | ~shell_index~ | ~index~ | ~(basis.num)~ | One-to-one correspondence between primitives and atomic shells | + | ~shell_factor~ | ~float~ | ~(basis.num)~ | Normalization factor of the shell ($\mathcal{N}_s$) | + | ~exponent~ | ~float~ | ~(basis.num)~ | Exponents of the primitives ($\gamma_{ks}$) | + | ~coefficient~ | ~float~ | ~(basis.num)~ | Coefficients of the primitives ($a_{ks}$) | + | ~prim_factor~ | ~float~ | ~(basis.num)~ | Normalization coefficients for the primitives ($f_{ks}$) | #+CALL: json(data=basis, title="basis") @@ -252,6 +249,8 @@ arrays are 0-based. Hence, we introduce the ~index~ type which is an #+end_src :END: +** Example + For example, consider H_2 with the following basis set (in GAMESS format), where both the AOs and primitives are considered normalized: @@ -272,31 +271,43 @@ P 1 P 1 1 3.880000E-01 1.000000E+00 D 1 -1 1.057000E+00 1.0000000 +1 1.057000E+00 1.000000E+00 #+END_EXAMPLE - we have: + In TREXIO representaion we have: #+BEGIN_EXAMPLE -type = "Gaussian" -num = 12 -prim_num = 20 +type = "Gaussian" +num = 20 -nucleus_index = [0 , 6] -shell_ang_mom = [0 , 0 , 0 , 1 , 1 , 2 , 0 , 0 , 0 , 1 , 1 , 2 ] -shell_prim_num = [5 , 1 , 1 , 1 , 1 , 1 , 5 , 1 , 1 , 1 , 1 , 1 ] -shell_prim_index = [0 , 5 , 6 , 7 , 8 , 9 , 10, 15, 16, 17, 18, 19] -shell_factor = [1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.] +# 10 primitives per H atom +nucleus_index = +[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] +# 7 primitives for S (l=0), 2 primitives for P (l=1), 1 primitive for D (l=2) shells +ang_mom = +[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, + 0, 0, 0, 0, 0, 0, 0, 1, 1, 2 ] + +# 5 primitives for first S shell and then 1 primitive per remaining shells +shell_index = +[ 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, + 0, 0, 0, 0, 0, 1, 2, 3, 4, 5 ] + +# no need to normalize shells +shell_factor = +[ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., + 1., 1., 1., 1., 1., 1., 1., 1., 1., 1. ] + +# parameters of the primitives exponent = -[ 33.87, 5.095, 1.159, 0.3258, 0.1027, 0.3258, 0.1027, 1.407, - 0.388, 1.057, 33.87, 5.095, 1.159, 0.3258, 0.1027, 0.3258, 0.1027, 1.407, - 0.388, 1.057] +[ 33.87, 5.095, 1.159, 0.3258, 0.1027, 0.3258, 0.1027, 1.407, 0.388, 1.057, + 33.87, 5.095, 1.159, 0.3258, 0.1027, 0.3258, 0.1027, 1.407, 0.388, 1.057 ] coefficient = -[ 0.006068, 0.045308, 0.202822, 0.503903, 0.383421, 1.0, 1.0, - 1.0, 1.0, 1.0, 0.006068, 0.045308, 0.202822, 0.503903, 0.383421, 1.0, 1.0, - 1.0, 1.0, 1.0] +[ 0.006068, 0.045308, 0.202822, 0.503903, 0.383421, 1.0, 1.0, 1.0, 1.0, 1.0, + 0.006068, 0.045308, 0.202822, 0.503903, 0.383421, 1.0, 1.0, 1.0, 1.0, 1.0 ] prim_factor = [ 1.0006253235944540e+01, 2.4169531573445120e+00, 7.9610924849766440e-01