mirror of https://gitlab.com/scemama/QCaml.git
591 lines
25 KiB
Plaintext
591 lines
25 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Test of F12 matrix elements"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Initialization"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"- : unit = ()\n",
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"Findlib has been successfully loaded. Additional directives:\n",
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" #require \"package\";; to load a package\n",
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" #list;; to list the available packages\n",
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" #camlp4o;; to load camlp4 (standard syntax)\n",
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" #camlp4r;; to load camlp4 (revised syntax)\n",
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" #predicates \"p,q,...\";; to set these predicates\n",
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" Topfind.reset();; to force that packages will be reloaded\n",
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" #thread;; to enable threads\n",
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"\n",
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"- : unit = ()\n"
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/home/scemama/qp2/external/opam/4.07.1/lib/bytes: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/base64: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/base64/base64.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ocaml/compiler-libs: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ocaml/compiler-libs/ocamlcommon.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/result: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/result/result.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ppx_deriving/runtime: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ppx_deriving/runtime/ppx_deriving_runtime.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ppx_deriving_yojson/runtime: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ppx_deriving_yojson/runtime/ppx_deriving_yojson_runtime.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ocaml/unix.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/uuidm: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/uuidm/uuidm.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/easy-format: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/easy-format/easy_format.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/biniou: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/biniou/biniou.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/yojson: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/yojson/yojson.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/jupyter: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/jupyter/jupyter.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/jupyter/notebook: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/jupyter/notebook/jupyter_notebook.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ocaml/bigarray.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/lacaml: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/lacaml/lacaml.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/astring: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/astring/astring.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/cmdliner: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/cmdliner/cmdliner.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/seq: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/stdlib-shims: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/stdlib-shims/stdlib_shims.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/fmt: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/fmt/fmt.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/fmt/fmt_cli.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/fmt/fmt_tty.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/alcotest: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/alcotest/alcotest.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/ocaml/str.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/zarith: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/zarith/zarith.cma: loaded\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/getopt: added to search path\n",
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"/home/scemama/qp2/external/opam/4.07.1/lib/getopt/getopt.cma: loaded\n"
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]
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}
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],
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"source": [
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"#cd \"/home/scemama/QCaml\";;\n",
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"#use \"topfind\";;\n",
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"#require \"jupyter.notebook\";;\n",
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"\n",
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"#require \"lacaml\";;\n",
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"#require \"alcotest\";;\n",
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"#require \"str\";;\n",
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"#require \"bigarray\";;\n",
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"#require \"zarith\";;\n",
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"#require \"getopt\";;\n",
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"#directory \"_build\";;\n",
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"#directory \"_build/Basis\";;\n",
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"#directory \"_build/CI\";;\n",
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"#directory \"_build/MOBasis\";;\n",
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"#directory \"_build/Nuclei\";;\n",
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"#directory \"_build/Parallel\";;\n",
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"#directory \"_build/Perturbation\";;\n",
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"#directory \"_build/SCF\";;\n",
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"#directory \"_build/Utils\";;"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Modules to load"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"#load \"Constants.cmo\";;\n",
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"#load_rec \"Util.cma\";;\n",
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"#load_rec \"Matrix.cmo\";;\n",
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"#load_rec \"Simulation.cmo\";;\n",
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"#load_rec \"Simulation.cmo\";;\n",
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"#load_rec \"HartreeFock.cmo\";;\n",
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"\n",
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"open Lacaml.D;;"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Printers"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"#install_printer AngularMomentum.pp_string ;;\n",
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"#install_printer Basis.pp ;;\n",
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"#install_printer Charge.pp ;;\n",
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"#install_printer Coordinate.pp ;;\n",
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"#install_printer Vector.pp;;\n",
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"#install_printer Matrix.pp;;\n",
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"#install_printer Util.pp_float_2darray;;\n",
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"#install_printer Util.pp_float_array;;\n",
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"#install_printer Util.pp_matrix;;\n",
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"#install_printer HartreeFock.pp ;;\n",
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"#install_printer Fock.pp ;;\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Run"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Simulation\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"val basis_filename : string = \"/home/scemama/qp2/data/basis/cc-pvdz\"\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val aux_basis_filename : string = \"/home/scemama/qp2/data/basis/cc-pvtz\"\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val nuclei : Nuclei.t = [|(Element.Be, 0.0000 0.0000 0.0000)|]\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val basis : Basis.t =\n",
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" \n",
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" Atomic Basis set\n",
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" ----------------\n",
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"\n",
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"-----------------------------------------------------------------------\n",
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" # Angular Coordinates (Bohr) Exponents Coefficients\n",
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" Momentum X Y Z\n",
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"-----------------------------------------------------------------------\n",
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" 1-3 S 0.0000 0.0000 0.0000 2.94000000e+03 6.80000000e-04\n",
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" 4.41200000e+02 5.23600000e-03\n",
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" 1.00500000e+02 2.66060000e-02\n",
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" 2.84300000e+01 9.99930000e-02\n",
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" 9.16900000e+00 2.69702000e-01\n",
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" 3.19600000e+00 4.51469000e-01\n",
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" 1.15900000e+00 2.95074000e-01\n",
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" 1.81100000e-01 1.25870000e-02\n",
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" \n",
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" 2.94000000e+03 -1.23000000e-04\n",
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" 4.41200000e+02 -9.66000000e-04\n",
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" 1.00500000e+02 -4.83100000e-03\n",
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" 2.84300000e+01 -1.93140000e-02\n",
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" 9.16900000e+00 -5.32800000e-02\n",
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" 3.19600000e+00 -1.20723000e-01\n",
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" 1.15900000e+00 -1.33435000e-01\n",
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" 1.81100000e-01 5.30767000e-01\n",
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" \n",
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" 5.89000000e-02 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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" 4-9 P 0.0000 0.0000 0.0000 3.61900000e+00 2.91110000e-02\n",
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" 7.11000000e-01 1.69365000e-01\n",
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" 1.95100000e-01 5.13458000e-01\n",
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" \n",
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" 6.01800000e-02 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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" 10-15 D 0.0000 0.0000 0.0000 2.38000000e-01 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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"\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val aux_basis : Basis.t =\n",
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" \n",
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" Atomic Basis set\n",
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" ----------------\n",
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"\n",
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"-----------------------------------------------------------------------\n",
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" # Angular Coordinates (Bohr) Exponents Coefficients\n",
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" Momentum X Y Z\n",
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"-----------------------------------------------------------------------\n",
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" 1-7 S 0.0000 0.0000 0.0000 2.94000000e+03 6.80000000e-04\n",
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" 4.41200000e+02 5.23600000e-03\n",
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" 1.00500000e+02 2.66060000e-02\n",
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" 2.84300000e+01 9.99930000e-02\n",
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" 9.16900000e+00 2.69702000e-01\n",
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" 3.19600000e+00 4.51469000e-01\n",
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" 1.15900000e+00 2.95074000e-01\n",
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" 1.81100000e-01 1.25870000e-02\n",
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" \n",
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" 2.94000000e+03 -1.23000000e-04\n",
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" 4.41200000e+02 -9.66000000e-04\n",
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" 1.00500000e+02 -4.83100000e-03\n",
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" 2.84300000e+01 -1.93140000e-02\n",
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" 9.16900000e+00 -5.32800000e-02\n",
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" 3.19600000e+00 -1.20723000e-01\n",
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" 1.15900000e+00 -1.33435000e-01\n",
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" 1.81100000e-01 5.30767000e-01\n",
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" \n",
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" 5.89000000e-02 1.00000000e+00\n",
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" \n",
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" 6.86300000e+03 2.36000000e-04\n",
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" 1.03000000e+03 1.82600000e-03\n",
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" 2.34700000e+02 9.45200000e-03\n",
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" 6.65600000e+01 3.79570000e-02\n",
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" 2.16900000e+01 1.19965000e-01\n",
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" 7.73400000e+00 2.82162000e-01\n",
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" 2.91600000e+00 4.27404000e-01\n",
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" 1.13000000e+00 2.66278000e-01\n",
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" 1.10100000e-01 -7.27500000e-03\n",
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" \n",
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" 6.86300000e+03 -4.30000000e-05\n",
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" 1.03000000e+03 -3.33000000e-04\n",
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" 2.34700000e+02 -1.73600000e-03\n",
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" 6.65600000e+01 -7.01200000e-03\n",
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" 2.16900000e+01 -2.31260000e-02\n",
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" 7.73400000e+00 -5.81380000e-02\n",
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" 2.91600000e+00 -1.14556000e-01\n",
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" 1.13000000e+00 -1.35908000e-01\n",
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" 1.10100000e-01 5.77441000e-01\n",
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" \n",
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" 2.57700000e-01 1.00000000e+00\n",
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" \n",
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" 4.40900000e-02 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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" 4-18 P 0.0000 0.0000 0.0000 3.61900000e+00 2.91110000e-02\n",
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" 7.11000000e-01 1.69365000e-01\n",
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" 1.95100000e-01 5.13458000e-01\n",
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" \n",
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" 6.01800000e-02 1.00000000e+00\n",
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" \n",
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" 7.43600000e+00 1.07360000e-02\n",
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" 1.57700000e+00 6.28540000e-02\n",
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" 4.35200000e-01 2.48180000e-01\n",
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" \n",
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" 1.43800000e-01 1.00000000e+00\n",
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" \n",
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" 4.99400000e-02 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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" 10-27 D 0.0000 0.0000 0.0000 2.38000000e-01 1.00000000e+00\n",
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" \n",
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" 3.48000000e-01 1.00000000e+00\n",
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" \n",
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" 1.80300000e-01 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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" 41-50 F 0.0000 0.0000 0.0000 3.25000000e-01 1.00000000e+00\n",
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" \n",
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" \n",
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"-----------------------------------------------------------------------\n",
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"\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val f12 : F12factor.t =\n",
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" {F12factor.expo_s = 1.;\n",
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" gaussian =\n",
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" {GaussianOperator.coef_g =\n",
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" [ -0.314400 -0.303700 -0.168100 -0.098110 -0.060240 -0.037260 ];\n",
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" expo_sg =\n",
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" [ 0.220900 1.004000 3.622000 12.160000 45.870000 254.400000 ];\n",
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" expo_sg_inv =\n",
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" [ 4.526935 0.996016 0.276091 0.082237 0.021801 0.003931 ]}}\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val charge : int = 0\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"val multiplicity : int = 1\n"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"val simulation : Simulation.t = <abstr>\n"
|
|
]
|
|
},
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"let basis_filename = \"/home/scemama/qp2/data/basis/cc-pvdz\" \n",
|
|
"let aux_basis_filename = \"/home/scemama/qp2/data/basis/cc-pvtz\" \n",
|
|
"let nuclei = Nuclei.of_zmt_string \"be\" \n",
|
|
"\n",
|
|
"let basis = Basis.of_nuclei_and_basis_filenames ~nuclei [basis_filename] \n",
|
|
"let aux_basis = Basis.of_nuclei_and_basis_filenames ~nuclei (basis_filename :: aux_basis_filename :: []) \n",
|
|
"let f12 = F12factor.gaussian_geminal 1.0 \n",
|
|
"let charge = 0 \n",
|
|
"let multiplicity = 1 \n",
|
|
"\n",
|
|
"\n",
|
|
"let simulation =\n",
|
|
" Simulation.make \n",
|
|
" ~f12 ~charge ~multiplicity ~nuclei\n",
|
|
" ~cartesian:true\n",
|
|
" basis\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Hartree-Fock"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"MOs =\n",
|
|
"\n",
|
|
"\n",
|
|
" -- 1 -- -- 2 -- -- 3 -- -- 4 -- -- 5 --\n",
|
|
" 1 1.0006 0.00028918 -0 -0 0\n",
|
|
" 2 0.00576322 1.00367 -7.13815E-16 -0 0\n",
|
|
" 3 -0.00181801 0.582215 4.68436E-16 -6.48338E-16 0\n",
|
|
" ... ... ... ... ...\n",
|
|
" 13 -0.00209072 -0.00172308 -0 -0 0\n",
|
|
" 14 -0 -0 -0 -0 0\n",
|
|
" 15 -0.00209072 -0.00172308 -0 -8.65517E-16 0\n",
|
|
" \n",
|
|
"\n",
|
|
" -- 6 -- -- 7 -- -- 8 -- -- 9 -- -- 10 --\n",
|
|
" 1 0.549926 -7.88204E-16 0 0 -5.10457E-16\n",
|
|
" 2 2.77214 -4.20928E-15 0 -8.18142E-16 -6.26457E-16\n",
|
|
" 3 -1.826 2.68321E-15 0 0 4.82834E-15\n",
|
|
" ... ... ... ... ...\n",
|
|
" 13 0.224421 0 0 0 -0.995373\n",
|
|
" 14 -0 0 0 0 -0.00304009\n",
|
|
" 15 0.224421 0 0 0 0.534433\n",
|
|
" \n",
|
|
"\n",
|
|
" -- 11 -- -- 12 -- -- 13 -- -- 14 -- -- 15 --\n",
|
|
" 1 -8.47272E-16 4.18722E-16 0 0 0.516133\n",
|
|
" 2 -7.29877E-15 3.26085E-15 -5.13582E-16 0 4.52711\n",
|
|
" 3 -1.53999E-15 0 0 0 1.08073\n",
|
|
" ... ... ... ... ...\n",
|
|
" 13 0.0741226 0.0584492 -0.01795 0.000120624 -1.45115\n",
|
|
" 14 0.00668622 0.201298 0.848372 -0.489582 0\n",
|
|
" 15 0.750441 -0.380516 0.0792247 -0.0122393 -1.45115\n",
|
|
" \n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"val hf : HartreeFock.t = \n",
|
|
"======================================================================\n",
|
|
" Restricted Hartree-Fock \n",
|
|
"======================================================================\n",
|
|
"\n",
|
|
" ------------------------------------------------------------\n",
|
|
" # HF energy Convergence HOMO-LUMO\n",
|
|
" ------------------------------------------------------------\n",
|
|
" 1 -14.05142130 8.0958e-01 0.2991\n",
|
|
" 2 -14.51982122 2.7933e-01 0.3600\n",
|
|
" 3 -14.56519147 8.3990e-02 0.3674\n",
|
|
" 4 -14.57117146 2.6217e-02 0.3679\n",
|
|
" 5 -14.57214606 1.0744e-02 0.3676\n",
|
|
" 6 -14.57232209 5.0392e-03 0.3675\n",
|
|
" 7 -14.57235521 2.2956e-03 0.3674\n",
|
|
" 8 -14.57236154 1.0293e-03 0.3673\n",
|
|
" 9 -14.57236304 4.1738e-08 0.3673\n",
|
|
" 10 -14.57236304 4.9181e-09 0.3673\n",
|
|
" ------------------------------------------------------------\n",
|
|
"\n",
|
|
"\n",
|
|
" ============================================================\n",
|
|
" One-electron energy -19.0610711155\n",
|
|
" Kinetic 14.5598880887\n",
|
|
" Potential -33.6209592042\n",
|
|
" -------------------------------------------------------- \n",
|
|
" Two-electron energy 4.4887080772\n",
|
|
" Coulomb 7.1543328046\n",
|
|
" Exchange -2.6656247274\n",
|
|
" -------------------------------------------------------- \n",
|
|
" HF HOMO -8.4100296422\n",
|
|
" HF LUMO 1.5842692336\n",
|
|
" HF LUMO-LUMO 9.9942988758\n",
|
|
" -------------------------------------------------------- \n",
|
|
" Electronic energy -14.5723630383\n",
|
|
" Nuclear repulsion 0.0000000000\n",
|
|
" Hartree-Fock energy -14.5723630383\n",
|
|
" ============================================================\n",
|
|
" \n",
|
|
"\n"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"let hf = \n",
|
|
" HartreeFock.make ~guess:`Hcore simulation \n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"val ints : ERI.t = <abstr>\n"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"- : float = 0.\n"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"let ints = Simulation.ao_basis simulation\n",
|
|
"|> AOBasis.ee_ints ;;\n",
|
|
"ERI.get_phys ints 1 1 1 4"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "OCaml 4.07.1",
|
|
"language": "OCaml",
|
|
"name": "ocaml-jupyter"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": "text/x-ocaml",
|
|
"file_extension": ".ml",
|
|
"mimetype": "text/x-ocaml",
|
|
"name": "OCaml",
|
|
"nbconverter_exporter": null,
|
|
"pygments_lexer": "OCaml",
|
|
"version": "4.07.1"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|