adding Juliens derivation

This commit is contained in:
Pierre-Francois Loos 2019-09-25 09:57:04 +02:00
parent 3646fe3981
commit 2613d6cf6f
7 changed files with 638 additions and 251 deletions

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@ -1,20 +1,20 @@
He -0.290245141573644E+01 -0.199983221740058E+01 -0.0017603275 0.0000000000 -0.0016075754 0.0000000000 -0.0014055012 -0.0000000000
Ne -0.128843290902963E+03 -0.128054014054796E+03 -0.0261070567 -0.0220193274 -0.0260516773 -0.0220235917 -0.0240706220 -0.0202224351
H2 -0.117386957876343E+01 -0.570078270019493E+00 -0.0008404882 0.0000000000 -0.0007400917 0.0000000000 -0.0006001446 -0.0000000000
Li2 -0.149743018613322E+02 -0.147818490104176E+02 -0.0215742208 -0.0209010879 -0.0221606680 -0.0216091568 -0.0203442855 -0.0199619630
LiH -0.805945428660543E+01 -0.776485774980460E+01 -0.0113134152 -0.0103788654 -0.0115187648 -0.0106880387 -0.0105934203 -0.0098603458
FH -0.100374887972044E+03 -0.997805628477386E+02 -0.0204666586 -0.0173942554 -0.0194707995 -0.0165535236 -0.0177857810 -0.0149840894
Ar -0.527076182276265E+03 -0.526498964616051E+03 -0.0207192619 -0.0169643057 -0.0183515298 -0.0149746683 -0.0162404309 -0.0127659157
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HCl -0.460365471270705E+03 -0.459897318763960E+03 -0.0155923615 -0.0127700595 -0.0134632910 -0.0109924906 -0.0118392832 -0.0093513827
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CO -0.113152095777144E+03 -0.112582057523896E+03 -0.0199426322 -0.0175638582 -0.0179906334 -0.0158465064 -0.0162278926 -0.0139043195
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NH3 -0.564938902023628E+02 -0.560929951167818E+02 -0.0109055176 -0.0092783797 -0.0096877376 -0.0082277662 -0.0087244825 -0.0072840544
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BN -0.792855020157525E+02 -0.788465751909829E+02 -0.0127350229 -0.0109601344 -0.0111031323 -0.0095588453 -0.0094695359 -0.0079338287
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He -2.90245142 -1.99983222 -0.0017603275 0.0000000000 -0.0016075754 0.0000000000 -0.0014055012 -0.0000000000
Ne -128.84330945 -128.05402007 -0.0261070567 -0.0220193274 -0.0260516773 -0.0220235917 -0.0240706220 -0.0202224351
H2 -1.17386958 -0.57007827 -0.0008404882 0.0000000000 -0.0007400917 0.0000000000 -0.0006001446 -0.0000000000
Li2 -14.97430429 -14.78185087 -0.0215742208 -0.0209010879 -0.0221606680 -0.0216091568 -0.0203442855 -0.0199619630
LiH -8.05945775 -7.76485797 -0.0113134152 -0.0103788654 -0.0115187648 -0.0106880387 -0.0105934203 -0.0098603458
FH -100.37517570 -99.78068863 -0.0204666586 -0.0173942554 -0.0194707995 -0.0165535236 -0.0177857810 -0.0149840894
Ar -527.07636391 -526.49899259 -0.0207192619 -0.0169643057 -0.0183515298 -0.0149746683 -0.0162404309 -0.0127659157
H2O -76.36198025 -75.89510748 -0.0155045073 -0.0131669061 -0.0142213756 -0.0120405378 -0.0128680801 -0.0107393024
LiF -107.33564597 -106.91278780 -0.0328019412 -0.0292927813 -0.0317277556 -0.0286593622 -0.0294381943 -0.0263258545
HCl -460.36585273 -459.89745705 -0.0155923615 -0.0127700595 -0.0134632910 -0.0109924906 -0.0118392832 -0.0093513827
BeO -89.81505535 -89.44312232 -0.0292728524 -0.0267894875 -0.0279828249 -0.0258784985 -0.0261302476 -0.0239527914
CO -113.15513908 -112.58368800 -0.0199426322 -0.0175638582 -0.0179906334 -0.0158465064 -0.0162278926 -0.0139043195
N2 -109.40624700 -108.83631870 -0.0195421688 -0.0170019935 -0.0175420329 -0.0151856771 -0.0157417212 -0.0130696708
CH4 -40.45158976 -39.92233759 -0.0075343133 -0.0065459847 -0.0065741251 -0.0056987231 -0.0059020315 -0.0050497617
BH3 -26.54560749 -26.05655893 -0.0040592834 -0.0031211129 -0.0034809782 -0.0026447965 -0.0029474611 -0.0021916575
NH3 -56.49518123 -56.09370950 -0.0109055176 -0.0092783797 -0.0096877376 -0.0082277662 -0.0087244825 -0.0072840544
BF -124.54083220 -124.13037543 -0.0232577573 -0.0217334545 -0.0219047964 -0.0205610585 -0.0201371235 -0.0188835422
BN -79.28851118 -78.84780242 -0.0127350229 -0.0109601344 -0.0111031323 -0.0095588453 -0.0094695359 -0.0079338287
SH2 -398.95963600 -398.57612108 -0.0109554902 -0.0088436497 -0.0092568110 -0.0074525138 -0.0081250057 -0.0063744821
F2 -199.36236241 -198.78325828 -0.0397412490 -0.0360278925 -0.0379208239 -0.0343422283 -0.0349999189 -0.0314540085

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@ -1,20 +1,20 @@
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Ne -0.128564952980773E+03 -0.127790044621194E+03 -0.0927119681 -0.0778439482 -0.1149987421 -0.0969787160 -0.1047904755 -0.0882628281
H2 -0.116335042303176E+01 -0.565928257492448E+00 -0.0058964151 0.0000000000 -0.0053214663 0.0000000000 -0.0043813303 -0.0000000000
Li2 -0.148874238580112E+02 -0.147011442410696E+02 -0.0735689032 -0.0702660809 -0.0669529111 -0.0645363281 -0.0639086234 -0.0619317942
LiH -0.800790876448678E+01 -0.772523024856516E+01 -0.0414376834 -0.0354961005 -0.0369037380 -0.0321142209 -0.0355276989 -0.0308146288
FH -0.100139644472777E+03 -0.995662410215169E+02 -0.0806796930 -0.0682852030 -0.0958573888 -0.0812677444 -0.0860991615 -0.0727324951
Ar -0.526776807324031E+03 -0.526218132560764E+03 -0.0773470679 -0.0615555370 -0.0793134129 -0.0626532522 -0.0724829511 -0.0565525756
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LiF -0.107057345226258E+03 -0.106661740285342E+03 -0.1180757055 -0.1054497409 -0.1295949185 -0.1157784324 -0.1187244148 -0.1062083996
HCl -0.460102620459520E+03 -0.459656132257808E+03 -0.0638065312 -0.0499595296 -0.0613362422 -0.0478353348 -0.0557409046 -0.0427715743
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CO -0.112919010098347E+03 -0.112415944953305E+03 -0.0787126647 -0.0684090390 -0.0827250147 -0.0729101265 -0.0717693189 -0.0610200977
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NH3 -0.563554990426549E+02 -0.559763439415815E+02 -0.0515671399 -0.0426085121 -0.0522797742 -0.0433825281 -0.0460714937 -0.0376659786
BF -0.124272077585389E+03 -0.123874543686572E+03 -0.0881635955 -0.0817187263 -0.1019764341 -0.0960768248 -0.0908664711 -0.0858387555
BN -0.791327643852880E+02 -0.787003068526876E+02 -0.0523287115 -0.0442896195 -0.0511462913 -0.0433544299 -0.0412158253 -0.0345796840
SH2 -0.398735957656986E+03 -0.398372461029066E+03 -0.0501911496 -0.0388693845 -0.0460551834 -0.0358122156 -0.0415153907 -0.0315566217
F2 -0.198917732127097E+03 -0.198348930353667E+03 -0.1497080316 -0.1359804779 -0.1784387381 -0.1625330400 -0.1594043337 -0.1441203844
He -2.88693108 -1.99362316 -0.0119073329 0.0000000000 -0.0123002737 0.0000000000 -0.0111730848 -0.0000000000
Ne -128.56495356 -127.79004433 -0.0927119681 -0.0778439482 -0.1149987421 -0.0969787160 -0.1047904755 -0.0882628281
H2 -1.16335042 -0.56592826 -0.0058964151 0.0000000000 -0.0053214663 0.0000000000 -0.0043813303 -0.0000000000
Li2 -14.88742441 -14.70114250 -0.0735689032 -0.0702660809 -0.0669529111 -0.0645363281 -0.0639086234 -0.0619317942
LiH -8.00791024 -7.72523046 -0.0414376834 -0.0354961005 -0.0369037380 -0.0321142209 -0.0355276989 -0.0308146288
FH -100.13964580 -99.56624144 -0.0806796930 -0.0682852030 -0.0958573888 -0.0812677444 -0.0860991615 -0.0727324951
Ar -526.77680574 -526.21813224 -0.0773470679 -0.0615555370 -0.0793134129 -0.0626532522 -0.0724829511 -0.0565525756
H2O -76.17534743 -75.73176811 -0.0657215689 -0.0549374959 -0.0721735111 -0.0603791744 -0.0640340711 -0.0530765038
LiF -107.05734660 -106.66173888 -0.1180757055 -0.1054497409 -0.1295949185 -0.1157784324 -0.1187244148 -0.1062083996
HCl -460.10262019 -459.65613220 -0.0638065312 -0.0499595296 -0.0613362422 -0.0478353348 -0.0557409046 -0.0427715743
BeO -89.56392335 -89.19592264 -0.1095411725 -0.0976779923 -0.1113024114 -0.0991719026 -0.1008764805 -0.0905058044
CO -112.91910671 -112.41612363 -0.0787126647 -0.0684090390 -0.0827250147 -0.0729101265 -0.0717693189 -0.0610200977
N2 -109.17743023 -108.61825052 -0.0779437972 -0.0675989628 -0.0815414641 -0.0708873169 -0.0705184568 -0.0586851664
CH4 -40.35743697 -39.83407151 -0.0389502575 -0.0331279878 -0.0368578657 -0.0312576652 -0.0323276010 -0.0271090736
BH3 -26.48768969 -26.00394329 -0.0223624421 -0.0171006503 -0.0199226291 -0.0150643326 -0.0169779633 -0.0126246081
NH3 -56.35553853 -55.97636576 -0.0515671399 -0.0426085121 -0.0522797742 -0.0433825281 -0.0460714937 -0.0376659786
BF -124.27211826 -123.87468162 -0.0881635955 -0.0817187263 -0.1019764341 -0.0960768248 -0.0908664711 -0.0858387555
BN -79.13282589 -78.70032601 -0.0523287115 -0.0442896195 -0.0511462913 -0.0433544299 -0.0412158253 -0.0345796840
SH2 -398.73595636 -398.37246063 -0.0501911496 -0.0388693845 -0.0460551834 -0.0358122156 -0.0415153907 -0.0315566217
F2 -198.91777021 -198.34894154 -0.1497080316 -0.1359804779 -0.1784387381 -0.1625330400 -0.1594043337 -0.1441203844

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@ -1,20 +1,20 @@
He -0.289295752569811E+01 -0.199813972883585E+01 -0.0098797238 0.0000000000 -0.0094913193 0.0000000000 -0.0088039543 -0.0000000000
Ne -0.128809997474082E+03 -0.128026351597156E+03 -0.0460539474 -0.0386871232 -0.0500650070 -0.0422956922 -0.0458870632 -0.0385431833
H2 -0.116826266630530E+01 -0.568805808145588E+00 -0.0047884025 0.0000000000 -0.0041329777 0.0000000000 -0.0035262554 -0.0000000000
Li2 -0.149669763246349E+02 -0.147749613858595E+02 -0.0239148902 -0.0209920316 -0.0226428313 -0.0204551777 -0.0210455117 -0.0189857941
LiH -0.804813731716169E+01 -0.776235696667347E+01 -0.0156719469 -0.0104966414 -0.0139164642 -0.0101909999 -0.0132823115 -0.0094577666
FH -0.100339294867963E+03 -0.997519521198261E+02 -0.0406230499 -0.0343617238 -0.0417752701 -0.0354872409 -0.0377339100 -0.0318004457
Ar -0.527032464386985E+03 -0.526461440826289E+03 -0.0400255933 -0.0327457854 -0.0378738690 -0.0307951064 -0.0336803396 -0.0265290938
H2O -0.763269638490810E+02 -0.758676106747295E+02 -0.0349928619 -0.0297792226 -0.0342784544 -0.0292328895 -0.0305620351 -0.0257755261
LiF -0.107298154349403E+03 -0.106884455059490E+03 -0.0517985569 -0.0451062507 -0.0521344815 -0.0461149939 -0.0476520350 -0.0419395325
HCl -0.460324528462448E+03 -0.459862771000080E+03 -0.0341192830 -0.0281438193 -0.0313392454 -0.0258416690 -0.0275902223 -0.0220971948
BeO -0.897753851766267E+02 -0.894090625563157E+02 -0.0509546702 -0.0460724447 -0.0516443742 -0.0473587885 -0.0469483872 -0.0431658258
CO -0.113126080263386E+03 -0.112611077215575E+03 -0.0385400531 -0.0341193184 -0.0370270519 -0.0327683942 -0.0322384875 -0.0277825375
N2 -0.109378603319509E+03 -0.108811395730944E+03 -0.0384590763 -0.0339384436 -0.0369350920 -0.0323129239 -0.0320500558 -0.0269461181
CH4 -0.404281894161969E+02 -0.399023474610555E+02 -0.0245431657 -0.0207849465 -0.0222998096 -0.0187907866 -0.0196928320 -0.0162786756
BH3 -0.265320670252682E+02 -0.260462073082854E+02 -0.0148703770 -0.0111333845 -0.0130825751 -0.0096295550 -0.0110407567 -0.0079436146
NH3 -0.564645108914266E+02 -0.560697872293552E+02 -0.0293150231 -0.0250787557 -0.0274714065 -0.0236150485 -0.0243854443 -0.0206896901
BF -0.124505562368989E+03 -0.124098100250429E+03 -0.0435071908 -0.0405257039 -0.0441955290 -0.0415023672 -0.0397618408 -0.0375216138
BN -0.792684437465931E+02 -0.788311020009608E+02 -0.0254483215 -0.0220632099 -0.0232665866 -0.0201551400 -0.0191199759 -0.0161707942
SH2 -0.398922041095615E+03 -0.398544569419217E+03 -0.0283971156 -0.0235996373 -0.0254200039 -0.0212454406 -0.0222142450 -0.0181620641
F2 -0.199306019558061E+03 -0.198732014262522E+03 -0.0731645509 -0.0664131357 -0.0759313446 -0.0688803346 -0.0688548684 -0.0617879911
He -2.89295753 -1.99813973 -0.0098797238 0.0000000000 -0.0094913193 0.0000000000 -0.0088039543 -0.0000000000
Ne -128.81000042 -128.02635305 -0.0460539474 -0.0386871232 -0.0500650070 -0.0422956922 -0.0458870632 -0.0385431833
H2 -1.16826267 -0.56880581 -0.0047884025 0.0000000000 -0.0041329777 0.0000000000 -0.0035262554 -0.0000000000
Li2 -14.96697791 -14.77496056 -0.0239148902 -0.0209920316 -0.0226428313 -0.0204551777 -0.0210455117 -0.0189857941
LiH -8.04813864 -7.76235699 -0.0156719469 -0.0104966414 -0.0139164642 -0.0101909999 -0.0132823115 -0.0094577666
FH -100.33933503 -99.75196295 -0.0406230499 -0.0343617238 -0.0417752701 -0.0354872409 -0.0377339100 -0.0318004457
Ar -527.03246280 -526.46144033 -0.0400255933 -0.0327457854 -0.0378738690 -0.0307951064 -0.0336803396 -0.0265290938
H2O -76.32705628 -75.86767450 -0.0349928619 -0.0297792226 -0.0342784544 -0.0292328895 -0.0305620351 -0.0257755261
LiF -107.29819357 -106.88447153 -0.0517985569 -0.0451062507 -0.0521344815 -0.0461149939 -0.0476520350 -0.0419395325
HCl -460.32460146 -459.86278180 -0.0341192830 -0.0281438193 -0.0313392454 -0.0258416690 -0.0275902223 -0.0220971948
BeO -89.77601070 -89.40921226 -0.0509546702 -0.0460724447 -0.0516443742 -0.0473587885 -0.0469483872 -0.0431658258
CO -113.12703333 -112.61237178 -0.0385400531 -0.0341193184 -0.0370270519 -0.0327683942 -0.0322384875 -0.0277825375
N2 -109.37914049 -108.81174253 -0.0384590763 -0.0339384436 -0.0369350920 -0.0323129239 -0.0320500558 -0.0269461181
CH4 -40.42842894 -39.90250926 -0.0245431657 -0.0207849465 -0.0222998096 -0.0187907866 -0.0196928320 -0.0162786756
BH3 -26.53207418 -26.04620783 -0.0148703770 -0.0111333845 -0.0130825751 -0.0096295550 -0.0110407567 -0.0079436146
NH3 -56.46477982 -56.06996231 -0.0293150231 -0.0250787557 -0.0274714065 -0.0236150485 -0.0243854443 -0.0206896901
BF -124.50633055 -124.09888575 -0.0435071908 -0.0405257039 -0.0441955290 -0.0415023672 -0.0397618408 -0.0375216138
BN -79.27022395 -78.83160115 -0.0254483215 -0.0220632099 -0.0232665866 -0.0201551400 -0.0191199759 -0.0161707942
SH2 -398.92214287 -398.54462309 -0.0283971156 -0.0235996373 -0.0254200039 -0.0212454406 -0.0222142450 -0.0181620641
F2 -199.30761813 -198.73298264 -0.0731645509 -0.0664131357 -0.0759313446 -0.0688803346 -0.0688548684 -0.0617879911

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@ -1,20 +1,20 @@
He -0.289894792921678E+01 -0.199813972883586E+01 -0.0038571636 0.0000000000 -0.0035806541 0.0000000000 -0.0031251569 -0.0000000000
Ne -0.128809997579461E+03 -0.128026352315962E+03 -0.0460539206 -0.0386871198 -0.0500648716 -0.0422955614 -0.0458870961 -0.0385432911
H2 -0.117233947245108E+01 -0.569542685438022E+00 -0.0019842830 0.0000000000 -0.0017085864 0.0000000000 -0.0013741000 -0.0000000000
Li2 -0.149717833073704E+02 -0.147782095522413E+02 -0.0217272109 -0.0204345191 -0.0213625630 -0.0204451914 -0.0196244288 -0.0189775066
LiH -0.805644962837723E+01 -0.776385188084615E+01 -0.0121155737 -0.0102932442 -0.0116934503 -0.0101717994 -0.0107875682 -0.0094367422
FH -0.100344829139468E+03 -0.997558087685706E+02 -0.0386240824 -0.0329501012 -0.0399399250 -0.0341177006 -0.0360557816 -0.0305783652
Ar -0.527035764019300E+03 -0.526464526696896E+03 -0.0358802783 -0.0288543225 -0.0326612727 -0.0261352907 -0.0295168944 -0.0228633599
H2O -0.763373261663488E+02 -0.758755050056890E+02 -0.0307542952 -0.0263604940 -0.0302431589 -0.0258275236 -0.0268999464 -0.0227341447
LiF -0.107301086069928E+03 -0.106884975681761E+03 -0.0514480430 -0.0450056687 -0.0519197999 -0.0460329060 -0.0474740309 -0.0418821405
HCl -0.460332073704334E+03 -0.459869291004805E+03 -0.0280925640 -0.0226921252 -0.0248578353 -0.0200224645 -0.0222150758 -0.0173246388
BeO -0.897754223134428E+02 -0.894090648267961E+02 -0.0509447555 -0.0460763152 -0.0516326140 -0.0473621886 -0.0469359239 -0.0431694355
CO -0.113126109636453E+03 -0.112611101983186E+03 -0.0385396713 -0.0341159981 -0.0370265921 -0.0327644679 -0.0322298404 -0.0277802660
N2 -0.109378586774000E+03 -0.108811392014473E+03 -0.0384585362 -0.0339386301 -0.0369346985 -0.0323127285 -0.0320459451 -0.0269395571
CH4 -0.404387357989912E+02 -0.399108214904491E+02 -0.0167551312 -0.0146139742 -0.0149504597 -0.0130161638 -0.0130844154 -0.0112416773
BH3 -0.265387753779189E+02 -0.260509387940992E+02 -0.0091685446 -0.0071171478 -0.0078589883 -0.0060232861 -0.0065157300 -0.0049217267
NH3 -0.564760814057498E+02 -0.560790557111708E+02 -0.0229871563 -0.0196809289 -0.0214090056 -0.0183079551 -0.0189041721 -0.0159219086
BF -0.124505500449975E+03 -0.124098156850976E+03 -0.0435161787 -0.0405271245 -0.0442057797 -0.0415042228 -0.0397996074 -0.0375235568
BN -0.792687074069281E+02 -0.788311049898855E+02 -0.0254279502 -0.0220644469 -0.0232490277 -0.0201535766 -0.0190039807 -0.0161761030
SH2 -0.398932113634434E+03 -0.398553133014113E+03 -0.0209024026 -0.0168525153 -0.0179648964 -0.0144626125 -0.0158464539 -0.0124262891
F2 -0.199306041932363E+03 -0.198732049623193E+03 -0.0731518588 -0.0664127424 -0.0759144042 -0.0688798653 -0.0688227612 -0.0617867910
He -2.89894793 -1.99813973 -0.0038571636 0.0000000000 -0.0035806541 0.0000000000 -0.0031251569 -0.0000000000
Ne -128.80999986 -128.02635474 -0.0460539206 -0.0386871198 -0.0500648716 -0.0422955614 -0.0458870961 -0.0385432911
H2 -1.17233947 -0.56954269 -0.0019842830 0.0000000000 -0.0017085864 0.0000000000 -0.0013741000 -0.0000000000
Li2 -14.97178488 -14.77820920 -0.0217272109 -0.0204345191 -0.0213625630 -0.0204451914 -0.0196244288 -0.0189775066
LiH -8.05645152 -7.76385196 -0.0121155737 -0.0102932442 -0.0116934503 -0.0101717994 -0.0107875682 -0.0094367422
FH -100.34488714 -99.75585180 -0.0386240824 -0.0329501012 -0.0399399250 -0.0341177006 -0.0360557816 -0.0305783652
Ar -527.03576652 -526.46452575 -0.0358802783 -0.0288543225 -0.0326612727 -0.0261352907 -0.0295168944 -0.0228633599
H2O -76.33759835 -75.87562526 -0.0307542952 -0.0263604940 -0.0302431589 -0.0258275236 -0.0268999464 -0.0227341447
LiF -107.30119830 -106.88502911 -0.0514480430 -0.0450056687 -0.0519197999 -0.0460329060 -0.0474740309 -0.0418821405
HCl -460.33217373 -459.86931928 -0.0280925640 -0.0226921252 -0.0248578353 -0.0200224645 -0.0222150758 -0.0173246388
BeO -89.77615896 -89.40921898 -0.0509447555 -0.0460763152 -0.0516326140 -0.0473621886 -0.0469359239 -0.0431694355
CO -113.12722890 -112.61249084 -0.0385396713 -0.0341159981 -0.0370265921 -0.0327644679 -0.0322298404 -0.0277802660
N2 -109.37906708 -108.81161391 -0.0384585362 -0.0339386301 -0.0369346985 -0.0323127285 -0.0320459451 -0.0269395571
CH4 -40.43916413 -39.91109618 -0.0167551312 -0.0146139742 -0.0149504597 -0.0130161638 -0.0130844154 -0.0112416773
BH3 -26.53879315 -26.05094126 -0.0091685446 -0.0071171478 -0.0078589883 -0.0060232861 -0.0065157300 -0.0049217267
NH3 -56.47668854 -56.07940578 -0.0229871563 -0.0196809289 -0.0214090056 -0.0183079551 -0.0189041721 -0.0159219086
BF -124.50655800 -124.09937328 -0.0435161787 -0.0405271245 -0.0442057797 -0.0415042228 -0.0397996074 -0.0375235568
BN -79.27024785 -78.83165587 -0.0254279502 -0.0220644469 -0.0232490277 -0.0201535766 -0.0190039807 -0.0161761030
SH2 -398.93231326 -398.55323007 -0.0209024026 -0.0168525153 -0.0179648964 -0.0144626125 -0.0158464539 -0.0124262891
F2 -199.30733392 -198.73356524 -0.0731518588 -0.0664127424 -0.0759144042 -0.0688798653 -0.0688227612 -0.0617867910

View File

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View File

@ -179,6 +179,32 @@
\label{sec:intro}
%%%%%%%%%%%%%%%%%%%%%%%%
From Julien:
\begin{equation}
\fdv{E[n_G]}{G(r,r',\omega)} = \int \fdv{E[n_G]}{n(r'')}] \fdv{n_G(r'')}{G(r,r',w)} dr''
\end{equation}
\begin{equation}
n_G(r'') = i \int G(r'',r'',w) d\omega
\end{equation}
\begin{equation}
\fdv{n_G(r'')}{G(r,r',w)} = \delta(r -r') \delta (r'-r'')
\end{equation}
\begin{equation}
\begin{split}
\fdv{E[n_G]}{G(r,r',w)}
& = \int \fdv{E[n_G]}{n(r'')} \delta(r -r') \delta (r'-r'') dr''
\\
& = \fdv{E[n_G]}{n(r)} \delta(r -r')
\\
& = v[n_G](r) \delta(r -r')
\end{split}
\end{equation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Theory}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

569
srLDA.nb
View File

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