Spherical to cartesian multipole transformation
05 December, 2023
Source:vignettes/110_alpha_tensor/110_alpha_tensor.Rmd
110_alpha_tensor.RmdThis example illustrates the conversion from spherical to cartesian multipoles for the collective T-matrix of a cluster, following Mun et al. (Describing Meta-Atoms Using the Exact Higher-Order Polarizability Tensors, ACS Photonics 2020, 7, 1153−1162).
The geometry consists of a chiral dimer of prolate spheroids, modelled as electric dipoles (higher-order terms are ignored).
This simulation uses the following input file
ModeAndScheme 2 3
MultipoleCutoff 4
Medium 1.0
OutputFormat HDF5 EE1
DumpCollectiveTmatrix collective_tmat_EE1.tmat
MultipoleSelections 1
EE1:1_MM2:1_ME2:1_EM2:1 blocks
Wavelength 520
Medium 1.7689
TmatrixFiles 1
"tmat_Au20x50_Nmax4_lambda520.tmat"
# dimer, dihedral pi/4
Scatterers 2
TF1_S1 0 -50 0 50 0 1.963495 0.0 2.5
TF1_S1 0 50 0 50 0 1.178097 0.0 2.5where the keyword DumpCollectiveTmatrix triggers the
output of the collective T-matrix, and also a plain text file
alpha_col.txt containing the cartesian components up to
Lmax=3.
Show output file alpha_col.txt (click to open)
# s sp n np m mp Tr Ti
# lambda= 520.00 nelements= 900 eps_med= 1.76890000E+00
1 1 1 1 -1 -1 -1.886950741798829E-01 3.372168692290735E-01
1 1 1 1 0 -1 0.000000000000000E+00 0.000000000000000E+00
1 1 1 1 1 -1 5.331769437363868E-07 -5.831219114394811E-07
1 1 2 1 -2 -1 -1.068608091517227E-07 1.121104353672869E-07
1 1 2 1 -1 -1 1.296045675700487E-01 1.221013755082978E-01
1 1 2 1 0 -1 1.221013755082978E-01 -1.296045675700487E-01
1 1 2 1 1 -1 1.055349310794707E-17 -1.055349310794707E-17
1 1 2 1 2 -1 -1.055347887447522E-17 1.055347887447522E-17
1 1 3 1 -3 -1 -8.362583288592518E-03 1.494476825907243E-02
1 1 3 1 -2 -1 2.090645822148132E-03 -3.736192064768112E-03
1 1 3 1 -1 -1 -2.615334445337679E-02 -1.463452075503693E-02
1 1 3 1 0 -1 6.538336113344197E-03 3.658630188759231E-03
1 1 3 1 1 -1 -5.907330409834490E-09 6.460695348430478E-09
1 1 3 1 2 -1 2.362932163987889E-08 -2.584278139339469E-08
1 1 3 1 3 -1 -6.917061728737001E-10 -1.546003219649640E-08
2 1 1 1 -1 -1 -1.040274728807396E+00 1.104200143690982E+00
2 1 1 1 0 -1 1.307950686753237E-16 -6.539753433766183E-17
2 1 1 1 1 -1 -9.104287220294626E-07 9.551542909637882E-07
2 1 2 1 -2 -1 -5.264257088352695E-07 5.757382595073762E-07
2 1 2 1 -1 -1 -3.329469353676902E-01 -1.863057646279645E-01
2 1 2 1 0 -1 -1.863057646279645E-01 3.329469353676902E-01
2 1 2 1 1 -1 4.517015066836030E-17 -8.357029278346330E-17
2 1 2 1 2 -1 -3.925779419521626E-17 1.486063278558226E-16
2 1 3 1 -3 -1 -9.691746409354297E-02 1.028730919003892E-01
2 1 3 1 -2 -1 2.422936602338577E-02 -2.571827297509732E-02
2 1 3 1 -1 -1 -1.800279108256813E-01 -1.696055621637004E-01
2 1 3 1 0 -1 4.500697770642033E-02 4.240139054092510E-02
2 1 3 1 1 -1 2.120508182316433E-08 -2.224679912448172E-08
2 1 3 1 2 -1 -8.482032729725004E-08 8.898719649309515E-08
2 1 3 1 3 -1 1.302146622439646E-09 5.431485117894488E-08
1 1 1 1 -1 0 1.156076000076019E-17 -5.780380000380096E-18
1 1 1 1 0 0 -5.780380000380096E-18 -1.156076000076019E-17
1 1 1 1 1 0 -4.624308988558330E-17 1.849721724384866E-16
1 1 2 1 -2 0 1.583022187008079E-17 -1.846859514706755E-17
1 1 2 1 -1 0 -3.731219246037090E-18 0.000000000000000E+00
1 1 2 1 0 0 0.000000000000000E+00 3.731219246037090E-18
1 1 2 1 1 0 3.558367972111236E-24 3.558367957198288E-24
1 1 2 1 2 0 -3.558367955541295E-24 -3.558367970454243E-24
1 1 3 1 -3 0 2.775128132486140E-18 0.000000000000000E+00
1 1 3 1 -2 0 -4.138910694376600E-19 0.000000000000000E+00
1 1 3 1 -1 0 0.000000000000000E+00 6.208366041564901E-18
1 1 3 1 0 0 0.000000000000000E+00 -2.086422583416570E-18
1 1 3 1 1 0 -1.177778645231763E-19 -1.982805981812116E-18
1 1 3 1 2 0 -2.585748373237564E-18 6.038094426892709E-18
1 1 3 1 3 0 1.233984838288646E-18 2.776466198200864E-18
2 1 1 1 -1 0 -4.624304000304077E-17 0.000000000000000E+00
2 1 1 1 0 0 0.000000000000000E+00 1.387291200091223E-16
2 1 1 1 1 0 1.156075999780605E-16 -1.849721100705378E-16
2 1 2 1 -2 0 6.332087324685129E-17 -1.371952680685934E-16
2 1 2 1 -1 0 0.000000000000000E+00 0.000000000000000E+00
2 1 2 1 0 0 0.000000000000000E+00 0.000000000000000E+00
2 1 2 1 1 0 7.597285060242380E-18 2.956208047704684E-18
2 1 2 1 2 0 -1.350964422176434E-17 2.956151113817266E-18
2 1 3 1 -3 0 4.550575963827867E-18 2.759273796251066E-19
2 1 3 1 -2 0 -1.103709518500427E-18 -1.103709518500427E-18
2 1 3 1 -1 0 -3.421499507351323E-17 -3.642241411051409E-17
2 1 3 1 0 0 8.553748768378308E-18 4.830954943425761E-18
2 1 3 1 1 0 -5.698810653007780E-18 3.348619752514183E-18
2 1 3 1 2 0 1.651291560405074E-17 -1.145919664267537E-17
2 1 3 1 3 0 1.850977465467242E-18 -1.048887008528212E-17
1 1 1 1 -1 1 5.331769435976577E-07 -5.831219117631823E-07
1 1 1 1 0 1 9.248605503526888E-17 -9.248608621924331E-17
1 1 1 1 1 1 -1.820228948106806E+00 2.121583508794864E+00
1 1 2 1 -2 1 2.048951910076618E-01 -2.134559774815051E-01
1 1 2 1 -1 1 1.121104354522661E-07 1.068608090709508E-07
1 1 2 1 0 1 1.068608090709508E-07 -1.121104354522661E-07
1 1 2 1 1 1 -2.984975396829672E-17 2.984975396829672E-17
1 1 2 1 2 1 -2.984975396829672E-17 2.984975396829672E-17
1 1 3 1 -3 1 2.362932164005395E-08 -2.584278140661144E-08
1 1 3 1 -2 1 -5.907330408870277E-09 6.460695351780464E-09
1 1 3 1 -1 1 4.522486745363359E-08 4.135131287092162E-08
1 1 3 1 0 1 -1.130621686768305E-08 -1.033782820918111E-08
1 1 3 1 1 1 2.016721455105525E-02 -2.350607040633590E-02
1 1 3 1 2 1 -8.066885820422105E-02 9.402428162534367E-02
1 1 3 1 3 1 4.173569819100814E-03 5.459160619673896E-02
2 1 1 1 -1 1 -9.104287212895740E-07 9.551542922354717E-07
2 1 1 1 0 1 0.000000000000000E+00 -3.699442825090244E-16
2 1 1 1 1 1 1.745658379130677E+00 -1.818594247300699E+00
2 1 2 1 -2 1 1.797180702511145E+00 -2.094719427870725E+00
2 1 2 1 -1 1 5.757382597114354E-07 5.264257087780018E-07
2 1 2 1 0 1 5.264257087780018E-07 -5.757382597114354E-07
2 1 2 1 1 1 0.000000000000000E+00 -1.193990158731869E-16
2 1 2 1 2 1 0.000000000000000E+00 -1.193990158731869E-16
2 1 3 1 -3 1 -8.482032724624053E-08 8.898719657728597E-08
2 1 3 1 -2 1 2.120508181489009E-08 -2.224679914400493E-08
2 1 3 1 -1 1 -1.557275940433533E-07 -1.484355724923185E-07
2 1 3 1 0 1 3.893189840824675E-08 3.710889322567119E-08
2 1 3 1 1 1 -4.065867856680242E-02 4.235745082108069E-02
2 1 3 1 2 1 1.626347142672098E-01 -1.694298032843229E-01
2 1 3 1 3 1 -2.123465317847832E-03 -1.037701617348540E-01
1 1 1 2 -1 -2 -1.068608091438075E-07 1.121104353910322E-07
1 1 1 2 0 -2 -1.319185215146198E-17 1.055348599121114E-17
1 1 1 2 1 -2 2.048951910076699E-01 -2.134559774815093E-01
1 1 2 2 -2 -2 -2.352492637784630E-02 3.222612457096621E-02
1 1 2 2 -1 -2 1.896865621699612E-08 1.866015588669174E-08
1 1 2 2 0 -2 1.866015588669174E-08 -1.896865621699612E-08
1 1 2 2 1 -2 3.406121580086554E-18 -3.406121580086554E-18
1 1 2 2 2 -2 3.406121580086554E-18 -3.406121580086554E-18
1 1 3 2 -3 -2 -4.735854502996335E-09 4.968507298977868E-09
1 1 3 2 -2 -2 1.183963625762962E-09 -1.242126824785241E-09
1 1 3 2 -1 -2 -8.694887772489144E-09 -8.287745381348279E-09
1 1 3 2 0 -2 2.173721944463668E-09 2.071936343873744E-09
1 1 3 2 1 -2 -2.270134909033806E-03 2.364984085959350E-03
1 1 3 2 2 -2 9.080539636135225E-03 -9.459936343837405E-03
1 1 3 2 3 -2 -1.185614711569311E-04 -5.793898743741446E-03
2 1 1 2 -1 -2 -1.589800976870774E-07 1.616084472388823E-07
2 1 1 2 0 -2 -1.055347887447522E-17 6.332088748032315E-17
2 1 1 2 1 -2 -2.004267872171981E-01 2.745589298975354E-01
2 1 2 2 -2 -2 -2.023007510672292E-01 2.107531384798704E-01
2 1 2 2 -1 -2 -1.106908618413093E-07 -1.055077078398270E-07
2 1 2 2 0 -2 -1.055077078398270E-07 1.106908618413093E-07
2 1 2 2 1 -2 1.362448632034622E-17 2.724897264069244E-17
2 1 2 2 2 -2 -1.362448632034622E-17 -2.724897264069244E-17
2 1 3 2 -3 -2 -1.481142190512427E-08 1.505629277326070E-08
2 1 3 2 -2 -2 3.702855476870151E-09 -3.764073193767436E-09
2 1 3 2 -1 -2 -2.634851235234188E-08 -2.591998836428721E-08
2 1 3 2 0 -2 6.587128093938774E-09 6.479997078389644E-09
2 1 3 2 1 -2 4.668203363878758E-03 -6.394838424175695E-03
2 1 3 2 2 -2 -1.867281345551504E-02 2.557935369670281E-02
2 1 3 2 3 -2 2.158293825371174E-03 1.382880223506808E-02
1 1 1 2 -1 -1 -1.296045675700463E-01 -1.221013755082987E-01
1 1 1 2 0 -1 0.000000000000000E+00 0.000000000000000E+00
1 1 1 2 1 -1 -1.121104354074914E-07 -1.068608091903499E-07
1 1 2 2 -2 -1 -1.896865622295683E-08 -1.866015586540348E-08
1 1 2 2 -1 -1 -8.062543824498013E-02 9.027065470988266E-02
1 1 2 2 0 -1 9.027065470988266E-02 8.062543824498013E-02
1 1 2 2 1 -1 6.812241536007774E-18 -1.624165334742810E-24
1 1 2 2 2 -1 -6.812244784338443E-18 -1.624165334742810E-24
1 1 3 2 -3 -1 -5.743811785215986E-03 -5.411285518595372E-03
1 1 3 2 -2 -1 1.435952946303998E-03 1.352821379648844E-03
1 1 3 2 -1 -1 9.469749657541909E-03 -1.005167062412799E-02
1 1 3 2 0 -1 -2.367437414385477E-03 2.512917656031996E-03
1 1 3 2 1 -1 1.242126825203913E-09 1.183963625840045E-09
1 1 3 2 2 -1 -4.968507299923318E-09 -4.735854504266896E-09
1 1 3 2 3 -1 -3.032613064605077E-09 7.270399875507246E-11
2 1 1 2 -1 -1 -7.690845451712842E-01 -6.869095909535791E-01
2 1 1 2 0 -1 0.000000000000000E+00 0.000000000000000E+00
2 1 1 2 1 -1 -1.616084473099434E-07 -1.589800975353605E-07
2 1 2 2 -2 -1 1.106908618617460E-07 1.055077078500453E-07
2 1 2 2 -1 -1 1.205552939050967E-01 -1.279634784604698E-01
2 1 2 2 0 -1 -1.279634784604698E-01 -1.205552939050967E-01
2 1 2 2 1 -1 3.406120930420421E-17 1.253685425894369E-17
2 1 2 2 2 -1 -3.406122229752688E-17 -1.087632061402531E-18
2 1 3 2 -3 -1 -7.165196051334355E-02 -6.399610965564434E-02
2 1 3 2 -2 -1 1.791299012833590E-02 1.599902741391110E-02
2 1 3 2 -1 -1 1.119931918973777E-01 -1.253909308983513E-01
2 1 3 2 0 -1 -2.799829797434443E-02 3.134773272458784E-02
2 1 3 2 1 -1 3.764073193128663E-09 3.702855475563941E-09
2 1 3 2 2 -1 -1.505629277727996E-08 -1.481142189342683E-08
2 1 3 2 3 -1 -9.333660831663712E-09 7.652215035446187E-11
1 1 1 2 -1 0 1.221013755082987E-01 -1.296045675700463E-01
1 1 1 2 0 0 0.000000000000000E+00 0.000000000000000E+00
1 1 1 2 1 0 1.068608091903499E-07 -1.121104354074914E-07
1 1 2 2 -2 0 1.866015586540348E-08 -1.896865622295683E-08
1 1 2 2 -1 0 -9.027065470988266E-02 -8.062543824498013E-02
1 1 2 2 0 0 -8.062543824498013E-02 9.027065470988266E-02
1 1 2 2 1 0 1.624165334742810E-24 6.812241536007774E-18
1 1 2 2 2 0 1.624165334742810E-24 -6.812244784338443E-18
1 1 3 2 -3 0 5.411285518595372E-03 -5.743811785215986E-03
1 1 3 2 -2 0 -1.352821379648844E-03 1.435952946303998E-03
1 1 3 2 -1 0 1.005167062412799E-02 9.469749657541909E-03
1 1 3 2 0 0 -2.512917656031996E-03 -2.367437414385477E-03
1 1 3 2 1 0 -1.183963625840045E-09 1.242126825203913E-09
1 1 3 2 2 0 4.735854504266896E-09 -4.968507299923318E-09
1 1 3 2 3 0 -7.270399875507246E-11 -3.032613064605077E-09
2 1 1 2 -1 0 6.869095909535791E-01 -7.690845451712842E-01
2 1 1 2 0 0 0.000000000000000E+00 0.000000000000000E+00
2 1 1 2 1 0 1.589800975353605E-07 -1.616084473099434E-07
2 1 2 2 -2 0 -1.055077078500453E-07 1.106908618617460E-07
2 1 2 2 -1 0 1.279634784604698E-01 1.205552939050967E-01
2 1 2 2 0 0 1.205552939050967E-01 -1.279634784604698E-01
2 1 2 2 1 0 -1.253685425894369E-17 3.406120930420421E-17
2 1 2 2 2 0 1.087632061402531E-18 -3.406122229752688E-17
2 1 3 2 -3 0 6.399610965564434E-02 -7.165196051334355E-02
2 1 3 2 -2 0 -1.599902741391110E-02 1.791299012833590E-02
2 1 3 2 -1 0 1.253909308983513E-01 1.119931918973777E-01
2 1 3 2 0 0 -3.134773272458784E-02 -2.799829797434443E-02
2 1 3 2 1 0 -3.702855475563941E-09 3.764073193128663E-09
2 1 3 2 2 0 1.481142189342683E-08 -1.505629277727996E-08
2 1 3 2 3 0 -7.652215035446187E-11 -9.333660831663712E-09
1 1 1 2 -1 1 -7.915121357484219E-18 2.110697351231714E-17
1 1 1 2 0 1 0.000000000000000E+00 2.638370430966583E-18
1 1 1 2 1 1 2.984975396829672E-17 -2.984975396829672E-17
1 1 2 2 -2 1 -6.812243160173109E-18 -1.703060790043277E-18
1 1 2 2 -1 1 7.663771931029412E-18 8.515287708563038E-19
1 1 2 2 0 1 8.515287708563038E-19 -7.663771931029412E-18
1 1 2 2 1 1 -5.294176444038596E-33 0.000000000000000E+00
1 1 2 2 2 1 -5.294176444038596E-33 -3.781554602884712E-34
1 1 3 2 -3 1 -3.973177329737507E-19 7.788920905276072E-19
1 1 3 2 -2 1 1.259431618202795E-19 -1.889146826760971E-19
1 1 3 2 -1 1 -1.322402778732680E-18 -8.816021327419565E-19
1 1 3 2 0 1 3.306006946831699E-19 9.845670740552176E-20
1 1 3 2 1 1 -1.611208066789006E-19 1.421144932037612E-19
1 1 3 2 2 1 1.033679795096175E-18 -1.450952975829673E-18
1 1 3 2 3 1 0.000000000000000E+00 -5.974003008875378E-19
2 1 1 2 -1 1 -1.055346159469740E-17 4.221390676629640E-17
2 1 1 2 0 1 -2.110696344773267E-17 1.055348172386633E-17
2 1 1 2 1 1 -5.969950793659344E-17 1.492487698414836E-17
2 1 2 2 -2 1 -3.406121580086555E-17 2.724897264069244E-17
2 1 2 2 -1 1 -1.703061439709411E-17 -6.812249656834448E-18
2 1 2 2 0 1 -6.812249656834448E-18 1.703061439709411E-17
2 1 2 2 1 1 1.908205714114282E-18 6.812243160173109E-18
2 1 2 2 2 1 1.908205714114284E-18 -6.812243160173110E-18
2 1 3 2 -3 1 9.904118796240920E-25 5.066666543299945E-18
2 1 3 2 -2 1 -2.402172883948255E-25 -7.556577698352345E-19
2 1 3 2 -1 1 7.556616133118493E-19 4.030179016293348E-18
2 1 3 2 0 1 7.866352029117767E-19 -1.007544754073337E-18
2 1 3 2 1 1 1.517042215132877E-18 0.000000000000000E+00
2 1 3 2 2 1 -3.262160191967426E-18 0.000000000000000E+00
2 1 3 2 3 1 -7.965337345167172E-19 1.593067469033434E-18
1 1 1 2 -1 2 7.915101228315282E-18 -2.110695338314820E-17
1 1 1 2 0 2 0.000000000000000E+00 -2.638370430966583E-18
1 1 1 2 1 2 2.984975396829672E-17 -2.984975396829672E-17
1 1 2 2 -2 2 0.000000000000000E+00 8.515303950216387E-18
1 1 2 2 -1 2 -7.663775179360083E-18 -8.515320191869734E-19
1 1 2 2 0 2 -8.515320191869734E-19 7.663775179360083E-18
1 1 2 2 1 2 6.806798285192482E-33 -9.262879211540615E-34
1 1 2 2 2 2 6.806798285192482E-33 -9.262879211540615E-34
1 1 3 2 -3 2 3.973167425618711E-19 -7.788911001157275E-19
1 1 3 2 -2 2 -1.259429216029910E-19 1.889144424588087E-19
1 1 3 2 -1 2 1.322401097211661E-18 8.816004512209374E-19
1 1 3 2 0 2 -3.306002743029153E-19 -9.845628702526701E-20
1 1 3 2 1 2 -5.593876739372591E-19 1.421144932037612E-19
1 1 3 2 2 2 1.431946662354534E-18 -1.450952975829673E-18
1 1 3 2 3 2 0.000000000000000E+00 -9.956671681458964E-19
2 1 1 2 -1 2 1.055350185303527E-17 -4.221394702463427E-17
2 1 1 2 0 2 2.110696344773267E-17 -1.055348172386633E-17
2 1 1 2 1 2 0.000000000000000E+00 4.477463095244508E-17
2 1 2 2 -2 2 -2.043672948051933E-17 5.449794528138487E-17
2 1 2 2 -1 2 1.703060140377143E-17 6.812236663511770E-18
2 1 2 2 0 2 6.812236663511770E-18 -1.703060140377143E-17
2 1 2 2 1 2 -1.908205714114284E-18 -6.812243160173109E-18
2 1 2 2 2 2 -1.908205714114284E-18 6.812243160173109E-18
2 1 3 2 -3 2 9.904118796240920E-25 -5.066668644232349E-18
2 1 3 2 -2 2 -2.402172883948255E-25 7.556587307043885E-19
2 1 3 2 -1 2 -7.556548872277736E-19 -4.030175653251310E-18
2 1 3 2 0 2 -7.866368844327954E-19 1.007543913312828E-18
2 1 3 2 1 2 -7.602525390055744E-20 -1.441016961232319E-18
2 1 3 2 2 2 -1.669092722933992E-18 4.931252914901418E-18
2 1 3 2 3 2 7.965337345167172E-19 1.593067469033434E-18
1 1 1 3 -1 -3 -8.362583288593548E-03 1.494476825907272E-02
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2 2 3 3 3 -2 -1.518478602150152E-11 -1.852138714324872E-09
1 2 1 3 -1 -1 1.800279108256813E-01 1.696055621637003E-01
1 2 1 3 0 -1 0.000000000000000E+00 0.000000000000000E+00
1 2 1 3 1 -1 1.557275941051610E-07 1.484355727925275E-07
1 2 2 3 -2 -1 2.634851235889092E-08 2.591998832675619E-08
1 2 2 3 -1 -1 1.119931918973768E-01 -1.253909308983531E-01
1 2 2 3 0 -1 -1.253909308983531E-01 -1.119931918973768E-01
1 2 2 3 1 -1 -7.052805896764035E-18 -1.057921016087035E-17
1 2 2 3 2 -1 7.052811159661229E-18 1.057921542376754E-17
1 2 3 3 -3 -1 7.978472173131534E-03 7.516574801790673E-03
1 2 3 3 -2 -1 -1.994618043282885E-03 -1.879143700447669E-03
1 2 3 3 -1 -1 -1.315400590313361E-02 1.396232630297874E-02
1 2 3 3 0 -1 3.288501475783414E-03 -3.490581575744912E-03
1 2 3 3 1 -1 -1.725382845312902E-09 -1.644590943316426E-09
1 2 3 3 2 -1 6.901531380673565E-09 6.578363773566851E-09
1 2 3 3 3 -1 4.212467236983883E-09 -1.009898777175808E-10
2 2 1 3 -1 -1 1.068300959691678E+00 9.541554044278642E-01
2 2 1 3 0 -1 2.408373741094753E-02 -4.322275522955563E-01
2 2 1 3 1 -1 2.244830693723698E-07 2.208321463080688E-07
2 2 2 3 -2 -1 -1.537557279470026E-07 -1.465560402475255E-07
2 2 2 3 -1 -1 -1.674579693264337E-01 1.777483473086303E-01
2 2 2 3 0 -1 1.777483473086303E-01 1.674579693264337E-01
2 2 2 3 1 -1 -2.119222391041074E-17 6.985906579096418E-17
2 2 2 3 2 -1 -7.086585802396700E-18 -1.759817457610457E-16
2 2 3 3 -3 -1 9.952853514062945E-02 8.889413496981993E-02
2 2 3 3 -2 -1 -2.488213378515739E-02 -2.222353374245501E-02
2 2 3 3 -1 -1 -1.683728454204923E-01 4.040403267659580E-01
2 2 3 3 0 -1 4.009194428898132E-02 -6.509361446182449E-02
2 2 3 3 1 -1 -5.228505801288908E-09 -5.143471004049815E-09
2 2 3 3 2 -1 2.091402320450280E-08 2.057388401293175E-08
2 2 3 3 3 -1 1.296497100074534E-08 -1.062934988518603E-10
1 2 1 3 -1 0 -4.500697770642031E-02 -4.240139054092507E-02
1 2 1 3 0 0 0.000000000000000E+00 0.000000000000000E+00
1 2 1 3 1 0 -3.893189845789587E-08 -3.710889326652624E-08
1 2 2 3 -2 0 -6.587128094600483E-09 -6.479997072909091E-09
1 2 2 3 -1 0 -2.799829797434420E-02 3.134773272458827E-02
1 2 2 3 0 0 3.134773272458827E-02 2.799829797434420E-02
1 2 2 3 1 0 1.763201474191009E-18 2.644802540217588E-18
1 2 2 3 2 0 -1.763202789915307E-18 -2.644803855941886E-18
1 2 3 3 -3 0 -1.994618043282883E-03 -1.879143700447668E-03
1 2 3 3 -2 0 4.986545108207209E-04 4.697859251119173E-04
1 2 3 3 -1 0 3.288501475783414E-03 -3.490581575744910E-03
1 2 3 3 0 0 -8.221253689458547E-04 8.726453939362488E-04
1 2 3 3 1 0 4.313457108232089E-10 4.111477364264165E-10
1 2 3 3 2 0 -1.725382843163912E-09 -1.644590945988307E-09
1 2 3 3 3 0 -1.053116809474107E-09 2.524746794651122E-11
2 2 1 3 -1 0 -2.670752399229196E-01 -2.385388511069660E-01
2 2 1 3 0 0 -2.257850382276383E-03 4.052133302770840E-02
2 2 1 3 1 0 -5.612076737728963E-08 -5.520803653427072E-08
2 2 2 3 -2 0 3.843893193602202E-08 3.663901012821882E-08
2 2 2 3 -1 0 4.186449233160843E-02 -4.443708682715755E-02
2 2 2 3 0 0 -4.443708682715755E-02 -4.186449233160843E-02
2 2 2 3 1 0 1.716732591853820E-17 -3.920444744995219E-17
2 2 2 3 2 0 -2.538111377881420E-17 7.688659136106209E-17
2 2 3 3 -3 0 -2.488213378515737E-02 -2.222353374245498E-02
2 2 3 3 -2 0 6.220533446289345E-03 5.555883435613752E-03
2 2 3 3 -1 0 4.009194428898134E-02 -6.509361446182449E-02
2 2 3 3 0 0 -9.835367284794540E-03 1.290623481267502E-02
2 2 3 3 1 0 1.307126451853855E-09 1.285867749611472E-09
2 2 3 3 2 0 -5.228505804156792E-09 -5.143470997333567E-09
2 2 3 3 3 0 -3.241242749501928E-09 2.657337767873288E-11
1 2 1 3 -1 1 2.120508182193034E-08 -2.224679912671414E-08
1 2 1 3 0 1 3.466396065995618E-18 -2.232413766861295E-18
1 2 1 3 1 1 -4.065867856680244E-02 4.235745082108069E-02
1 2 2 3 -2 1 4.668203363878559E-03 -6.394838424175618E-03
1 2 2 3 -1 1 -3.764073192692383E-09 -3.702855472073705E-09
1 2 2 3 0 1 -3.702855472073705E-09 3.764073192692383E-09
1 2 2 3 1 1 0.000000000000000E+00 6.898184608685069E-19
1 2 2 3 2 1 -1.379636921737014E-18 6.898184608685069E-19
1 2 3 3 -3 1 9.397662535663419E-10 -9.859330530822225E-10
1 2 3 3 -2 1 -2.349415633717878E-10 2.464832632926473E-10
1 2 3 3 -1 1 1.725382843071020E-09 1.644590943815644E-09
1 2 3 3 0 1 -4.313457108193455E-10 -4.111477356443687E-10
1 2 3 3 1 1 4.504775593597396E-04 -4.692990952775696E-04
1 2 3 3 2 1 -1.801910237438958E-03 1.877196381110280E-03
1 2 3 3 3 1 2.352691989728780E-05 1.149720818296637E-03
2 2 1 3 -1 1 3.154744945036411E-08 -3.206900991172222E-08
2 2 1 3 0 1 0.000000000000000E+00 9.422263864894865E-19
2 2 1 3 1 1 3.977198428896226E-02 -5.448250504781865E-02
2 2 2 3 -2 1 4.014384706158032E-02 -4.182110898872730E-02
2 2 2 3 -1 1 2.196510396585717E-08 2.093657717458783E-08
2 2 2 3 0 1 2.093657717458783E-08 -2.196510396585717E-08
2 2 2 3 1 1 2.759273843474028E-18 -2.759273843474028E-18
2 2 2 3 2 1 2.759273843474028E-18 -2.759273843474028E-18
2 2 3 3 -3 1 2.939126285218799E-09 -2.987717599363989E-09
2 2 3 3 -2 1 -7.347815713651356E-10 7.469294000297951E-10
2 2 3 3 -1 1 5.228505804068406E-09 5.143470992239017E-09
2 2 3 3 0 1 -1.307126451299178E-09 -1.285867745539866E-09
2 2 3 3 1 1 -9.263418000342793E-04 1.268969167585120E-03
2 2 3 3 2 1 3.705367200137117E-03 -5.075876670340489E-03
2 2 3 3 3 1 -4.282842094385529E-04 -2.744138709524251E-03
1 2 1 3 -1 2 -8.482032729601607E-08 8.898719650073460E-08
1 2 1 3 0 2 -8.873449986207696E-18 7.639463363162106E-18
1 2 1 3 1 2 1.626347142672098E-01 -1.694298032843228E-01
1 2 2 3 -2 2 -1.867281345551425E-02 2.557935369670247E-02
1 2 2 3 -1 2 1.505629277771623E-08 1.481142189691706E-08
1 2 2 3 0 2 1.481142189691706E-08 -1.505629277771623E-08
1 2 2 3 1 2 0.000000000000000E+00 -2.759273843474028E-18
1 2 2 3 2 2 5.518547686948056E-18 -2.759273843474028E-18
1 2 3 3 -3 2 -3.759065013737552E-09 3.943732212163091E-09
1 2 3 3 -2 2 9.397662534352170E-10 -9.859330530813388E-10
1 2 3 3 -1 2 -6.901531371075649E-09 -6.578363774775862E-09
1 2 3 3 0 2 1.725382842945458E-09 1.644590942634692E-09
1 2 3 3 1 2 -1.801910237438958E-03 1.877196381110281E-03
1 2 3 3 2 2 7.207640949755838E-03 -7.508785524441124E-03
1 2 3 3 3 2 -9.410767958915230E-05 -4.598883273186550E-03
2 2 1 3 -1 2 -1.261897978972342E-07 1.282760396706554E-07
2 2 1 3 0 2 1.153043004153979E-23 2.068597199871376E-17
2 2 1 3 1 2 -1.590879371558490E-01 2.179300201912747E-01
2 2 2 3 -2 2 -1.605753882463213E-01 1.672844359549092E-01
2 2 2 3 -1 2 -8.786041584846682E-08 -8.374630870408751E-08
2 2 2 3 0 2 -8.374630870408751E-08 8.786041584846682E-08
2 2 2 3 1 2 0.000000000000000E+00 1.103709537389611E-17
2 2 2 3 2 2 0.000000000000000E+00 -1.103709537389611E-17
2 2 3 3 -3 2 -1.175650515021140E-08 1.195087040415297E-08
2 2 3 3 -2 2 2.939126287362166E-09 -2.987717601134188E-09
2 2 3 3 -1 2 -2.091402320973431E-08 -2.057388402073705E-08
2 2 3 3 0 2 5.228505806714221E-09 5.143470997666164E-09
2 2 3 3 1 2 3.705367200137115E-03 -5.075876670340485E-03
2 2 3 3 2 2 -1.482146880054847E-02 2.030350668136196E-02
2 2 3 3 3 2 1.713136837754215E-03 1.097655483809701E-02
1 2 1 3 -1 3 -5.431485119066773E-08 1.302146625524610E-09
1 2 1 3 0 3 -6.169923566590565E-18 0.000000000000000E+00
1 2 1 3 1 3 1.037701617348539E-01 -2.123465317847820E-03
1 2 2 3 -2 3 -1.382880223506773E-02 2.158293825371322E-03
1 2 2 3 -1 3 7.652215234579612E-11 9.333660837637716E-09
1 2 2 3 0 3 9.333660837637716E-09 -7.652215234579612E-11
1 2 2 3 1 3 1.724546152171267E-18 0.000000000000000E+00
1 2 2 3 2 3 1.724546152171267E-18 0.000000000000000E+00
1 2 3 3 -3 3 -2.407124133319448E-09 5.770849942463933E-11
1 2 3 3 -2 3 6.017810333394261E-10 -1.442712487701927E-11
1 2 3 3 -1 3 -1.009898737857079E-10 -4.212467233493793E-09
1 2 3 3 0 3 2.524746878863101E-11 1.053116808145312E-09
1 2 3 3 1 3 -1.149720818296637E-03 2.352691989728815E-05
1 2 3 3 2 3 4.598883273186550E-03 -9.410767958915207E-05
1 2 3 3 3 3 1.407742372999187E-03 -1.466559672742407E-03
2 2 1 3 -1 3 -7.952057425717365E-08 6.519505735026546E-10
2 2 1 3 0 3 0.000000000000000E+00 0.000000000000000E+00
2 2 1 3 1 3 -1.178181116709762E-01 1.838815094857053E-02
2 2 2 3 -2 3 -1.024561950628845E-01 2.096577408933712E-03
2 2 2 3 -1 3 -1.285658482319091E-09 -5.362710142802904E-08
2 2 2 3 0 3 -5.362710142802904E-08 1.285658482319091E-09
2 2 2 3 1 3 -3.966456149993915E-18 0.000000000000000E+00
2 2 2 3 2 3 -3.966456149993915E-18 0.000000000000000E+00
2 2 3 3 -3 3 -7.408554861709137E-09 6.073914350831558E-11
2 2 3 3 -2 3 1.852138715561866E-09 -1.518478608040604E-11
2 2 3 3 -1 3 -1.062935053902567E-10 -1.296497100987554E-08
2 2 3 3 0 3 2.657337954146871E-11 3.241242751100069E-09
2 2 3 3 1 3 2.744138709524249E-03 -4.282842094385538E-04
2 2 3 3 2 3 -1.097655483809701E-02 1.713136837754216E-03
2 2 3 3 3 3 -2.894818125107122E-03 3.965528648703506E-03We compare below the matrix elements in the spherical basis and in the cartesian basis. The T-matrix of the original particle (electric dipole only term) is shown for reference.
Last run: 05 December, 2023