Multipoles for Point Group D3d

Spherical Harmonics Y^l / Multipole				Symmetric Power [Γ^l(xyz)]
l	2l+1	Multipole	Symmetry	Rank	[Γ^l(xyz)]
s (l=0)	1	Monopole	A_1g	1	A_1g
p (l=1)	3	Dipole	A_2u⊕E_u	3	A_2u⊕E_u
d (l=2)	5	Quadrupole	A_1g⊕2E_g	6	2A_1g⊕2E_g
f (l=3)	7	Octupole	A_1u⊕2A_2u⊕2E_u	10	A_1u⊕3A_2u⊕3E_u
g (l=4)	9	Hexadecapole	2A_1g⊕A_2g⊕3E_g	15	4A_1g⊕A_2g⊕5E_g
h (l=5)	11	Dotricontapole	A_1u⊕2A_2u⊕4E_u	21	2A_1u⊕5A_2u⊕7E_u
i (l=6)	13	Tetrahexacontapole	3A_1g⊕2A_2g⊕4E_g	28	7A_1g⊕3A_2g⊕9E_g
j (l=7)	15	Octacosahectapole	2A_1u⊕3A_2u⊕5E_u	36	4A_1u⊕8A_2u⊕12E_u
k (l=8)	17	256--pole	3A_1g⊕2A_2g⊕6E_g	45	10A_1g⊕5A_2g⊕15E_g
l (l=9)	19	512--pole	3A_1u⊕4A_2u⊕6E_u	55	7A_1u⊕12A_2u⊕18E_u
m (l=10)	21	1.024--pole	4A_1g⊕3A_2g⊕7E_g	66	14A_1g⊕8A_2g⊕22E_g
n (l=11)	23	2.048--pole	3A_1u⊕4A_2u⊕8E_u	78	10A_1u⊕16A_2u⊕26E_u
o (l=12)	25	4.096--pole	5A_1g⊕4A_2g⊕8E_g	91	19A_1g⊕12A_2g⊕30E_g
q (l=13)	27	8.192--pole	4A_1u⊕5A_2u⊕9E_u	105	14A_1u⊕21A_2u⊕35E_u
r (l=14)	29	16.384--pole	5A_1g⊕4A_2g⊕10E_g	120	24A_1g⊕16A_2g⊕40E_g
t (l=15)	31	32.768--pole	5A_1u⊕6A_2u⊕10E_u	136	19A_1u⊕27A_2u⊕45E_u
u (l=16)	33	65.536--pole	6A_1g⊕5A_2g⊕11E_g	153	30A_1g⊕21A_2g⊕51E_g
v (l=17)	35	131.072--pole	5A_1u⊕6A_2u⊕12E_u	171	24A_1u⊕33A_2u⊕57E_u
w (l=18)	37	262.144--pole	7A_1g⊕6A_2g⊕12E_g	190	37A_1g⊕27A_2g⊕63E_g
x (l=19)	39	524.288--pole	6A_1u⊕7A_2u⊕13E_u	210	30A_1u⊕40A_2u⊕70E_u
y (l=20)	41	1.048.576--pole	7A_1g⊕6A_2g⊕14E_g	231	44A_1g⊕33A_2g⊕77E_g
z (l=21)	43	2.097.152--pole	7A_1u⊕8A_2u⊕14E_u	253	37A_1u⊕48A_2u⊕84E_u
(l=22)	45	4.194.304--pole	8A_1g⊕7A_2g⊕15E_g	276	52A_1g⊕40A_2g⊕92E_g
(l=23)	47	8.388.608--pole	7A_1u⊕8A_2u⊕16E_u	300	44A_1u⊕56A_2u⊕100E_u
(l=24)	49	16.777.216--pole	9A_1g⊕8A_2g⊕16E_g	325	61A_1g⊕48A_2g⊕108E_g
(l=25)	51	33.554.432--pole	8A_1u⊕9A_2u⊕17E_u	351	52A_1u⊕65A_2u⊕117E_u
(l=26)	53	67.108.864--pole	9A_1g⊕8A_2g⊕18E_g	378	70A_1g⊕56A_2g⊕126E_g
(l=27)	55	134.217.728--pole	9A_1u⊕10A_2u⊕18E_u	406	61A_1u⊕75A_2u⊕135E_u
(l=28)	57	268.435.456--pole	10A_1g⊕9A_2g⊕19E_g	435	80A_1g⊕65A_2g⊕145E_g
(l=29)	59	536.870.912--pole	9A_1u⊕10A_2u⊕20E_u	465	70A_1u⊕85A_2u⊕155E_u
(l=30)	61	1.073.741.824--pole	11A_1g⊕10A_2g⊕20E_g	496	91A_1g⊕75A_2g⊕165E_g
(l=31)	63	2.147.483.648--pole	10A_1u⊕11A_2u⊕21E_u	528	80A_1u⊕96A_2u⊕176E_u
(l=32)	65	4.294.967.296--pole	11A_1g⊕10A_2g⊕22E_g	561	102A_1g⊕85A_2g⊕187E_g
(l=33)	67	8.589.934.592--pole	11A_1u⊕12A_2u⊕22E_u	595	91A_1u⊕108A_2u⊕198E_u
(l=34)	69	17.179.869.184--pole	12A_1g⊕11A_2g⊕23E_g	630	114A_1g⊕96A_2g⊕210E_g
(l=35)	71	34.359.738.368--pole	11A_1u⊕12A_2u⊕24E_u	666	102A_1u⊕120A_2u⊕222E_u
(l=36)	73	68.719.476.736--pole	13A_1g⊕12A_2g⊕24E_g	703	127A_1g⊕108A_2g⊕234E_g
(l=37)	75	137.438.953.472--pole	12A_1u⊕13A_2u⊕25E_u	741	114A_1u⊕133A_2u⊕247E_u
(l=38)	77	274.877.906.944--pole	13A_1g⊕12A_2g⊕26E_g	780	140A_1g⊕120A_2g⊕260E_g
(l=39)	79	549.755.813.888--pole	13A_1u⊕14A_2u⊕26E_u	820	127A_1u⊕147A_2u⊕273E_u
(l=40)	81	1.099.511.627.776--pole	14A_1g⊕13A_2g⊕27E_g	861	154A_1g⊕133A_2g⊕287E_g
(l=41)	83	2.199.023.255.552--pole	13A_1u⊕14A_2u⊕28E_u	903	140A_1u⊕161A_2u⊕301E_u
(l=42)	85	4.398.046.511.104--pole	15A_1g⊕14A_2g⊕28E_g	946	169A_1g⊕147A_2g⊕315E_g
(l=43)	87	8.796.093.022.208--pole	14A_1u⊕15A_2u⊕29E_u	990	154A_1u⊕176A_2u⊕330E_u
(l=44)	89	17.592.186.044.416--pole	15A_1g⊕14A_2g⊕30E_g	1.035	184A_1g⊕161A_2g⊕345E_g
(l=45)	91	35.184.372.088.832--pole	15A_1u⊕16A_2u⊕30E_u	1.081	169A_1u⊕192A_2u⊕360E_u
(l=46)	93	70.368.744.177.664--pole	16A_1g⊕15A_2g⊕31E_g	1.128	200A_1g⊕176A_2g⊕376E_g
(l=47)	95	140.737.488.355.328--pole	15A_1u⊕16A_2u⊕32E_u	1.176	184A_1u⊕208A_2u⊕392E_u
(l=48)	97	281.474.976.710.656--pole	17A_1g⊕16A_2g⊕32E_g	1.225	217A_1g⊕192A_2g⊕408E_g
(l=49)	99	562.949.953.421.312--pole	16A_1u⊕17A_2u⊕33E_u	1.275	200A_1u⊕225A_2u⊕425E_u
(l=50)	101	1.125.899.906.842.624--pole	17A_1g⊕16A_2g⊕34E_g	1.326	234A_1g⊕208A_2g⊕442E_g
(l=51)	103	2.251.799.813.685.248--pole	17A_1u⊕18A_2u⊕34E_u	1.378	217A_1u⊕243A_2u⊕459E_u
(l=52)	105	4.503.599.627.370.496--pole	18A_1g⊕17A_2g⊕35E_g	1.431	252A_1g⊕225A_2g⊕477E_g
(l=53)	107	9.007.199.254.740.992--pole	17A_1u⊕18A_2u⊕36E_u	1.485	234A_1u⊕261A_2u⊕495E_u
(l=54)	109	18.014.398.509.481.984--pole	19A_1g⊕18A_2g⊕36E_g	1.540	271A_1g⊕243A_2g⊕513E_g
(l=55)	111	36.028.797.018.963.968--pole	18A_1u⊕19A_2u⊕37E_u	1.596	252A_1u⊕280A_2u⊕532E_u
(l=56)	113	72.057.594.037.927.936--pole	19A_1g⊕18A_2g⊕38E_g	1.653	290A_1g⊕261A_2g⊕551E_g
(l=57)	115	144.115.188.075.855.872--pole	19A_1u⊕20A_2u⊕38E_u	1.711	271A_1u⊕300A_2u⊕570E_u
(l=58)	117	288.230.376.151.711.744--pole	20A_1g⊕19A_2g⊕39E_g	1.770	310A_1g⊕280A_2g⊕590E_g
(l=59)	119	576.460.752.303.423.488--pole	19A_1u⊕20A_2u⊕40E_u	1.830	290A_1u⊕320A_2u⊕610E_u
(l=60)	121	1.152.921.504.606.846.976--pole	21A_1g⊕20A_2g⊕40E_g	1.891	331A_1g⊕300A_2g⊕630E_g
(l=61)	123	2.305.843.009.213.693.952--pole	20A_1u⊕21A_2u⊕41E_u	1.953	310A_1u⊕341A_2u⊕651E_u
(l=62)	125	4.611.686.018.427.387.904--pole	21A_1g⊕20A_2g⊕42E_g	2.016	352A_1g⊕320A_2g⊕672E_g
(l=63)	127	-----	21A_1u⊕22A_2u⊕42E_u	2.080	331A_1u⊕363A_2u⊕693E_u
(l=64)	129	-----	22A_1g⊕21A_2g⊕43E_g	2.145	374A_1g⊕341A_2g⊕715E_g
(l=65)	131	-----	21A_1u⊕22A_2u⊕44E_u	2.211	352A_1u⊕385A_2u⊕737E_u
(l=66)	133	-----	23A_1g⊕22A_2g⊕44E_g	2.278	397A_1g⊕363A_2g⊕759E_g
(l=67)	135	-----	22A_1u⊕23A_2u⊕45E_u	2.346	374A_1u⊕408A_2u⊕782E_u
(l=68)	137	-----	23A_1g⊕22A_2g⊕46E_g	2.415	420A_1g⊕385A_2g⊕805E_g
(l=69)	139	-----	23A_1u⊕24A_2u⊕46E_u	2.485	397A_1u⊕432A_2u⊕828E_u
(l=70)	141	-----	24A_1g⊕23A_2g⊕47E_g	2.556	444A_1g⊕408A_2g⊕852E_g
(l=71)	143	-----	23A_1u⊕24A_2u⊕48E_u	2.628	420A_1u⊕456A_2u⊕876E_u
(l=72)	145	-----	25A_1g⊕24A_2g⊕48E_g	2.701	469A_1g⊕432A_2g⊕900E_g
(l=73)	147	-----	24A_1u⊕25A_2u⊕49E_u	2.775	444A_1u⊕481A_2u⊕925E_u
(l=74)	149	-----	25A_1g⊕24A_2g⊕50E_g	2.850	494A_1g⊕456A_2g⊕950E_g
(l=75)	151	-----	25A_1u⊕26A_2u⊕50E_u	2.926	469A_1u⊕507A_2u⊕975E_u
(l=76)	153	-----	26A_1g⊕25A_2g⊕51E_g	3.003	520A_1g⊕481A_2g⊕1001E_g
(l=77)	155	-----	25A_1u⊕26A_2u⊕52E_u	3.081	494A_1u⊕533A_2u⊕1027E_u
(l=78)	157	-----	27A_1g⊕26A_2g⊕52E_g	3.160	547A_1g⊕507A_2g⊕1053E_g
(l=79)	159	-----	26A_1u⊕27A_2u⊕53E_u	3.240	520A_1u⊕560A_2u⊕1080E_u
(l=80)	161	-----	27A_1g⊕26A_2g⊕54E_g	3.321	574A_1g⊕533A_2g⊕1107E_g
(l=81)	163	-----	27A_1u⊕28A_2u⊕54E_u	3.403	547A_1u⊕588A_2u⊕1134E_u
(l=82)	165	-----	28A_1g⊕27A_2g⊕55E_g	3.486	602A_1g⊕560A_2g⊕1162E_g
(l=83)	167	-----	27A_1u⊕28A_2u⊕56E_u	3.570	574A_1u⊕616A_2u⊕1190E_u
(l=84)	169	-----	29A_1g⊕28A_2g⊕56E_g	3.655	631A_1g⊕588A_2g⊕1218E_g
(l=85)	171	-----	28A_1u⊕29A_2u⊕57E_u	3.741	602A_1u⊕645A_2u⊕1247E_u
(l=86)	173	-----	29A_1g⊕28A_2g⊕58E_g	3.828	660A_1g⊕616A_2g⊕1276E_g
(l=87)	175	-----	29A_1u⊕30A_2u⊕58E_u	3.916	631A_1u⊕675A_2u⊕1305E_u
(l=88)	177	-----	30A_1g⊕29A_2g⊕59E_g	4.005	690A_1g⊕645A_2g⊕1335E_g
(l=89)	179	-----	29A_1u⊕30A_2u⊕60E_u	4.095	660A_1u⊕705A_2u⊕1365E_u
(l=90)	181	-----	31A_1g⊕30A_2g⊕60E_g	4.186	721A_1g⊕675A_2g⊕1395E_g
(l=91)	183	-----	30A_1u⊕31A_2u⊕61E_u	4.278	690A_1u⊕736A_2u⊕1426E_u
(l=92)	185	-----	31A_1g⊕30A_2g⊕62E_g	4.371	752A_1g⊕705A_2g⊕1457E_g
(l=93)	187	-----	31A_1u⊕32A_2u⊕62E_u	4.465	721A_1u⊕768A_2u⊕1488E_u
(l=94)	189	-----	32A_1g⊕31A_2g⊕63E_g	4.560	784A_1g⊕736A_2g⊕1520E_g
(l=95)	191	-----	31A_1u⊕32A_2u⊕64E_u	4.656	752A_1u⊕800A_2u⊕1552E_u
(l=96)	193	-----	33A_1g⊕32A_2g⊕64E_g	4.753	817A_1g⊕768A_2g⊕1584E_g
(l=97)	195	-----	32A_1u⊕33A_2u⊕65E_u	4.851	784A_1u⊕833A_2u⊕1617E_u
(l=98)	197	-----	33A_1g⊕32A_2g⊕66E_g	4.950	850A_1g⊕800A_2g⊕1650E_g
(l=99)	199	-----	33A_1u⊕34A_2u⊕66E_u	5.050	817A_1u⊕867A_2u⊕1683E_u
(l=100)	201	-----	34A_1g⊕33A_2g⊕67E_g	5.151	884A_1g⊕833A_2g⊕1717E_g
(l=101)	203	-----	33A_1u⊕34A_2u⊕68E_u	5.253	850A_1u⊕901A_2u⊕1751E_u
(l=102)	205	-----	35A_1g⊕34A_2g⊕68E_g	5.356	919A_1g⊕867A_2g⊕1785E_g
(l=103)	207	-----	34A_1u⊕35A_2u⊕69E_u	5.460	884A_1u⊕936A_2u⊕1820E_u
(l=104)	209	-----	35A_1g⊕34A_2g⊕70E_g	5.565	954A_1g⊕901A_2g⊕1855E_g
(l=105)	211	-----	35A_1u⊕36A_2u⊕70E_u	5.671	919A_1u⊕972A_2u⊕1890E_u
(l=106)	213	-----	36A_1g⊕35A_2g⊕71E_g	5.778	990A_1g⊕936A_2g⊕1926E_g
(l=107)	215	-----	35A_1u⊕36A_2u⊕72E_u	5.886	954A_1u⊕1008A_2u⊕1962E_u
(l=108)	217	-----	37A_1g⊕36A_2g⊕72E_g	5.995	1027A_1g⊕972A_2g⊕1998E_g
(l=109)	219	-----	36A_1u⊕37A_2u⊕73E_u	6.105	990A_1u⊕1045A_2u⊕2035E_u
(l=110)	221	-----	37A_1g⊕36A_2g⊕74E_g	6.216	1064A_1g⊕1008A_2g⊕2072E_g
(l=111)	223	-----	37A_1u⊕38A_2u⊕74E_u	6.328	1027A_1u⊕1083A_2u⊕2109E_u
(l=112)	225	-----	38A_1g⊕37A_2g⊕75E_g	6.441	1102A_1g⊕1045A_2g⊕2147E_g
(l=113)	227	-----	37A_1u⊕38A_2u⊕76E_u	6.555	1064A_1u⊕1121A_2u⊕2185E_u
(l=114)	229	-----	39A_1g⊕38A_2g⊕76E_g	6.670	1141A_1g⊕1083A_2g⊕2223E_g
(l=115)	231	-----	38A_1u⊕39A_2u⊕77E_u	6.786	1102A_1u⊕1160A_2u⊕2262E_u
(l=116)	233	-----	39A_1g⊕38A_2g⊕78E_g	6.903	1180A_1g⊕1121A_2g⊕2301E_g
(l=117)	235	-----	39A_1u⊕40A_2u⊕78E_u	7.021	1141A_1u⊕1200A_2u⊕2340E_u
(l=118)	237	-----	40A_1g⊕39A_2g⊕79E_g	7.140	1220A_1g⊕1160A_2g⊕2380E_g
(l=119)	239	-----	39A_1u⊕40A_2u⊕80E_u	7.260	1180A_1u⊕1240A_2u⊕2420E_u
(l=120)	241	-----	41A_1g⊕40A_2g⊕80E_g	7.381	1261A_1g⊕1200A_2g⊕2460E_g
(l=121)	243	-----	40A_1u⊕41A_2u⊕81E_u	7.503	1220A_1u⊕1281A_2u⊕2501E_u
(l=122)	245	-----	41A_1g⊕40A_2g⊕82E_g	7.626	1302A_1g⊕1240A_2g⊕2542E_g
(l=123)	247	-----	41A_1u⊕42A_2u⊕82E_u	7.750	1261A_1u⊕1323A_2u⊕2583E_u
(l=124)	249	-----	42A_1g⊕41A_2g⊕83E_g	7.875	1344A_1g⊕1281A_2g⊕2625E_g
(l=125)	251	-----	41A_1u⊕42A_2u⊕84E_u	8.001	1302A_1u⊕1365A_2u⊕2667E_u
(l=126)	253	-----	43A_1g⊕42A_2g⊕84E_g	8.128	1387A_1g⊕1323A_2g⊕2709E_g
(l=127)	255	-----	42A_1u⊕43A_2u⊕85E_u	8.256	1344A_1u⊕1408A_2u⊕2752E_u
(l=128)	257	-----	43A_1g⊕42A_2g⊕86E_g	8.385	1430A_1g⊕1365A_2g⊕2795E_g
(l=129)	259	-----	43A_1u⊕44A_2u⊕86E_u	8.515	1387A_1u⊕1452A_2u⊕2838E_u
(l=130)	261	-----	44A_1g⊕43A_2g⊕87E_g	8.646	1474A_1g⊕1408A_2g⊕2882E_g
(l=131)	263	-----	43A_1u⊕44A_2u⊕88E_u	8.778	1430A_1u⊕1496A_2u⊕2926E_u
(l=132)	265	-----	45A_1g⊕44A_2g⊕88E_g	8.911	1519A_1g⊕1452A_2g⊕2970E_g
(l=133)	267	-----	44A_1u⊕45A_2u⊕89E_u	9.045	1474A_1u⊕1541A_2u⊕3015E_u
(l=134)	269	-----	45A_1g⊕44A_2g⊕90E_g	9.180	1564A_1g⊕1496A_2g⊕3060E_g
(l=135)	271	-----	45A_1u⊕46A_2u⊕90E_u	9.316	1519A_1u⊕1587A_2u⊕3105E_u
(l=136)	273	-----	46A_1g⊕45A_2g⊕91E_g	9.453	1610A_1g⊕1541A_2g⊕3151E_g
(l=137)	275	-----	45A_1u⊕46A_2u⊕92E_u	9.591	1564A_1u⊕1633A_2u⊕3197E_u
(l=138)	277	-----	47A_1g⊕46A_2g⊕92E_g	9.730	1657A_1g⊕1587A_2g⊕3243E_g
(l=139)	279	-----	46A_1u⊕47A_2u⊕93E_u	9.870	1610A_1u⊕1680A_2u⊕3290E_u
(l=140)	281	-----	47A_1g⊕46A_2g⊕94E_g	10.011	1704A_1g⊕1633A_2g⊕3337E_g
(l=141)	283	-----	47A_1u⊕48A_2u⊕94E_u	10.153	1657A_1u⊕1728A_2u⊕3384E_u
(l=142)	285	-----	48A_1g⊕47A_2g⊕95E_g	10.296	1752A_1g⊕1680A_2g⊕3432E_g
(l=143)	287	-----	47A_1u⊕48A_2u⊕96E_u	10.440	1704A_1u⊕1776A_2u⊕3480E_u
(l=144)	289	-----	49A_1g⊕48A_2g⊕96E_g	10.585	1801A_1g⊕1728A_2g⊕3528E_g
(l=145)	291	-----	48A_1u⊕49A_2u⊕97E_u	10.731	1752A_1u⊕1825A_2u⊕3577E_u
(l=146)	293	-----	49A_1g⊕48A_2g⊕98E_g	10.878	1850A_1g⊕1776A_2g⊕3626E_g
(l=147)	295	-----	49A_1u⊕50A_2u⊕98E_u	11.026	1801A_1u⊕1875A_2u⊕3675E_u
(l=148)	297	-----	50A_1g⊕49A_2g⊕99E_g	11.175	1900A_1g⊕1825A_2g⊕3725E_g
(l=149)	299	-----	49A_1u⊕50A_2u⊕100E_u	11.325	1850A_1u⊕1925A_2u⊕3775E_u
(l=150)	301	-----	51A_1g⊕50A_2g⊕100E_g	11.476	1951A_1g⊕1875A_2g⊕3825E_g
(l=151)	303	-----	50A_1u⊕51A_2u⊕101E_u	11.628	1900A_1u⊕1976A_2u⊕3876E_u
(l=152)	305	-----	51A_1g⊕50A_2g⊕102E_g	11.781	2002A_1g⊕1925A_2g⊕3927E_g
(l=153)	307	-----	51A_1u⊕52A_2u⊕102E_u	11.935	1951A_1u⊕2028A_2u⊕3978E_u
(l=154)	309	-----	52A_1g⊕51A_2g⊕103E_g	12.090	2054A_1g⊕1976A_2g⊕4030E_g
(l=155)	311	-----	51A_1u⊕52A_2u⊕104E_u	12.246	2002A_1u⊕2080A_2u⊕4082E_u
(l=156)	313	-----	53A_1g⊕52A_2g⊕104E_g	12.403	2107A_1g⊕2028A_2g⊕4134E_g
(l=157)	315	-----	52A_1u⊕53A_2u⊕105E_u	12.561	2054A_1u⊕2133A_2u⊕4187E_u
(l=158)	317	-----	53A_1g⊕52A_2g⊕106E_g	12.720	2160A_1g⊕2080A_2g⊕4240E_g
(l=159)	319	-----	53A_1u⊕54A_2u⊕106E_u	12.880	2107A_1u⊕2187A_2u⊕4293E_u
(l=160)	321	-----	54A_1g⊕53A_2g⊕107E_g	13.041	2214A_1g⊕2133A_2g⊕4347E_g
(l=161)	323	-----	53A_1u⊕54A_2u⊕108E_u	13.203	2160A_1u⊕2241A_2u⊕4401E_u
(l=162)	325	-----	55A_1g⊕54A_2g⊕108E_g	13.366	2269A_1g⊕2187A_2g⊕4455E_g
(l=163)	327	-----	54A_1u⊕55A_2u⊕109E_u	13.530	2214A_1u⊕2296A_2u⊕4510E_u
(l=164)	329	-----	55A_1g⊕54A_2g⊕110E_g	13.695	2324A_1g⊕2241A_2g⊕4565E_g
(l=165)	331	-----	55A_1u⊕56A_2u⊕110E_u	13.861	2269A_1u⊕2352A_2u⊕4620E_u
(l=166)	333	-----	56A_1g⊕55A_2g⊕111E_g	14.028	2380A_1g⊕2296A_2g⊕4676E_g
(l=167)	335	-----	55A_1u⊕56A_2u⊕112E_u	14.196	2324A_1u⊕2408A_2u⊕4732E_u
(l=168)	337	-----	57A_1g⊕56A_2g⊕112E_g	14.365	2437A_1g⊕2352A_2g⊕4788E_g
(l=169)	339	-----	56A_1u⊕57A_2u⊕113E_u	14.535	2380A_1u⊕2465A_2u⊕4845E_u
(l=170)	341	-----	57A_1g⊕56A_2g⊕114E_g	14.706	2494A_1g⊕2408A_2g⊕4902E_g
(l=171)	343	-----	57A_1u⊕58A_2u⊕114E_u	14.878	2437A_1u⊕2523A_2u⊕4959E_u
(l=172)	345	-----	58A_1g⊕57A_2g⊕115E_g	15.051	2552A_1g⊕2465A_2g⊕5017E_g
(l=173)	347	-----	57A_1u⊕58A_2u⊕116E_u	15.225	2494A_1u⊕2581A_2u⊕5075E_u
(l=174)	349	-----	59A_1g⊕58A_2g⊕116E_g	15.400	2611A_1g⊕2523A_2g⊕5133E_g
(l=175)	351	-----	58A_1u⊕59A_2u⊕117E_u	15.576	2552A_1u⊕2640A_2u⊕5192E_u
(l=176)	353	-----	59A_1g⊕58A_2g⊕118E_g	15.753	2670A_1g⊕2581A_2g⊕5251E_g
(l=177)	355	-----	59A_1u⊕60A_2u⊕118E_u	15.931	2611A_1u⊕2700A_2u⊕5310E_u
(l=178)	357	-----	60A_1g⊕59A_2g⊕119E_g	16.110	2730A_1g⊕2640A_2g⊕5370E_g
(l=179)	359	-----	59A_1u⊕60A_2u⊕120E_u	16.290	2670A_1u⊕2760A_2u⊕5430E_u
(l=180)	361	-----	61A_1g⊕60A_2g⊕120E_g	16.471	2791A_1g⊕2700A_2g⊕5490E_g
(l=181)	363	-----	60A_1u⊕61A_2u⊕121E_u	16.653	2730A_1u⊕2821A_2u⊕5551E_u
(l=182)	365	-----	61A_1g⊕60A_2g⊕122E_g	16.836	2852A_1g⊕2760A_2g⊕5612E_g
(l=183)	367	-----	61A_1u⊕62A_2u⊕122E_u	17.020	2791A_1u⊕2883A_2u⊕5673E_u
(l=184)	369	-----	62A_1g⊕61A_2g⊕123E_g	17.205	2914A_1g⊕2821A_2g⊕5735E_g
(l=185)	371	-----	61A_1u⊕62A_2u⊕124E_u	17.391	2852A_1u⊕2945A_2u⊕5797E_u
(l=186)	373	-----	63A_1g⊕62A_2g⊕124E_g	17.578	2977A_1g⊕2883A_2g⊕5859E_g
(l=187)	375	-----	62A_1u⊕63A_2u⊕125E_u	17.766	2914A_1u⊕3008A_2u⊕5922E_u
(l=188)	377	-----	63A_1g⊕62A_2g⊕126E_g	17.955	3040A_1g⊕2945A_2g⊕5985E_g
(l=189)	379	-----	63A_1u⊕64A_2u⊕126E_u	18.145	2977A_1u⊕3072A_2u⊕6048E_u
(l=190)	381	-----	64A_1g⊕63A_2g⊕127E_g	18.336	3104A_1g⊕3008A_2g⊕6112E_g
(l=191)	383	-----	63A_1u⊕64A_2u⊕128E_u	18.528	3040A_1u⊕3136A_2u⊕6176E_u
(l=192)	385	-----	65A_1g⊕64A_2g⊕128E_g	18.721	3169A_1g⊕3072A_2g⊕6240E_g
(l=193)	387	-----	64A_1u⊕65A_2u⊕129E_u	18.915	3104A_1u⊕3201A_2u⊕6305E_u
(l=194)	389	-----	65A_1g⊕64A_2g⊕130E_g	19.110	3234A_1g⊕3136A_2g⊕6370E_g
(l=195)	391	-----	65A_1u⊕66A_2u⊕130E_u	19.306	3169A_1u⊕3267A_2u⊕6435E_u
(l=196)	393	-----	66A_1g⊕65A_2g⊕131E_g	19.503	3300A_1g⊕3201A_2g⊕6501E_g
(l=197)	395	-----	65A_1u⊕66A_2u⊕132E_u	19.701	3234A_1u⊕3333A_2u⊕6567E_u
(l=198)	397	-----	67A_1g⊕66A_2g⊕132E_g	19.900	3367A_1g⊕3267A_2g⊕6633E_g
(l=199)	399	-----	66A_1u⊕67A_2u⊕133E_u	20.100	3300A_1u⊕3400A_2u⊕6700E_u
(l=200)	401	-----	67A_1g⊕66A_2g⊕134E_g	20.301	3434A_1g⊕3333A_2g⊕6767E_g
(l=201)	403	-----	67A_1u⊕68A_2u⊕134E_u	20.503	3367A_1u⊕3468A_2u⊕6834E_u
(l=202)	405	-----	68A_1g⊕67A_2g⊕135E_g	20.706	3502A_1g⊕3400A_2g⊕6902E_g
(l=203)	407	-----	67A_1u⊕68A_2u⊕136E_u	20.910	3434A_1u⊕3536A_2u⊕6970E_u
(l=204)	409	-----	69A_1g⊕68A_2g⊕136E_g	21.115	3571A_1g⊕3468A_2g⊕7038E_g
(l=205)	411	-----	68A_1u⊕69A_2u⊕137E_u	21.321	3502A_1u⊕3605A_2u⊕7107E_u
(l=206)	413	-----	69A_1g⊕68A_2g⊕138E_g	21.528	3640A_1g⊕3536A_2g⊕7176E_g
(l=207)	415	-----	69A_1u⊕70A_2u⊕138E_u	21.736	3571A_1u⊕3675A_2u⊕7245E_u
(l=208)	417	-----	70A_1g⊕69A_2g⊕139E_g	21.945	3710A_1g⊕3605A_2g⊕7315E_g
(l=209)	419	-----	69A_1u⊕70A_2u⊕140E_u	22.155	3640A_1u⊕3745A_2u⊕7385E_u
(l=210)	421	-----	71A_1g⊕70A_2g⊕140E_g	22.366	3781A_1g⊕3675A_2g⊕7455E_g
(l=211)	423	-----	70A_1u⊕71A_2u⊕141E_u	22.578	3710A_1u⊕3816A_2u⊕7526E_u
(l=212)	425	-----	71A_1g⊕70A_2g⊕142E_g	22.791	3852A_1g⊕3745A_2g⊕7597E_g
(l=213)	427	-----	71A_1u⊕72A_2u⊕142E_u	23.005	3781A_1u⊕3888A_2u⊕7668E_u
(l=214)	429	-----	72A_1g⊕71A_2g⊕143E_g	23.220	3924A_1g⊕3816A_2g⊕7740E_g
(l=215)	431	-----	71A_1u⊕72A_2u⊕144E_u	23.436	3852A_1u⊕3960A_2u⊕7812E_u
(l=216)	433	-----	73A_1g⊕72A_2g⊕144E_g	23.653	3997A_1g⊕3888A_2g⊕7884E_g
(l=217)	435	-----	72A_1u⊕73A_2u⊕145E_u	23.871	3924A_1u⊕4033A_2u⊕7957E_u
(l=218)	437	-----	73A_1g⊕72A_2g⊕146E_g	24.090	4070A_1g⊕3960A_2g⊕8030E_g
(l=219)	439	-----	73A_1u⊕74A_2u⊕146E_u	24.310	3997A_1u⊕4107A_2u⊕8103E_u
(l=220)	441	-----	74A_1g⊕73A_2g⊕147E_g	24.531	4144A_1g⊕4033A_2g⊕8177E_g
(l=221)	443	-----	73A_1u⊕74A_2u⊕148E_u	24.753	4070A_1u⊕4181A_2u⊕8251E_u
(l=222)	445	-----	75A_1g⊕74A_2g⊕148E_g	24.976	4219A_1g⊕4107A_2g⊕8325E_g
(l=223)	447	-----	74A_1u⊕75A_2u⊕149E_u	25.200	4144A_1u⊕4256A_2u⊕8400E_u
(l=224)	449	-----	75A_1g⊕74A_2g⊕150E_g	25.425	4294A_1g⊕4181A_2g⊕8475E_g
(l=225)	451	-----	75A_1u⊕76A_2u⊕150E_u	25.651	4219A_1u⊕4332A_2u⊕8550E_u
(l=226)	453	-----	76A_1g⊕75A_2g⊕151E_g	25.878	4370A_1g⊕4256A_2g⊕8626E_g
(l=227)	455	-----	75A_1u⊕76A_2u⊕152E_u	26.106	4294A_1u⊕4408A_2u⊕8702E_u
(l=228)	457	-----	77A_1g⊕76A_2g⊕152E_g	26.335	4447A_1g⊕4332A_2g⊕8778E_g
(l=229)	459	-----	76A_1u⊕77A_2u⊕153E_u	26.565	4370A_1u⊕4485A_2u⊕8855E_u
(l=230)	461	-----	77A_1g⊕76A_2g⊕154E_g	26.796	4524A_1g⊕4408A_2g⊕8932E_g
(l=231)	463	-----	77A_1u⊕78A_2u⊕154E_u	27.028	4447A_1u⊕4563A_2u⊕9009E_u
(l=232)	465	-----	78A_1g⊕77A_2g⊕155E_g	27.261	4602A_1g⊕4485A_2g⊕9087E_g
(l=233)	467	-----	77A_1u⊕78A_2u⊕156E_u	27.495	4524A_1u⊕4641A_2u⊕9165E_u
(l=234)	469	-----	79A_1g⊕78A_2g⊕156E_g	27.730	4681A_1g⊕4563A_2g⊕9243E_g
(l=235)	471	-----	78A_1u⊕79A_2u⊕157E_u	27.966	4602A_1u⊕4720A_2u⊕9322E_u
(l=236)	473	-----	79A_1g⊕78A_2g⊕158E_g	28.203	4760A_1g⊕4641A_2g⊕9401E_g
(l=237)	475	-----	79A_1u⊕80A_2u⊕158E_u	28.441	4681A_1u⊕4800A_2u⊕9480E_u
(l=238)	477	-----	80A_1g⊕79A_2g⊕159E_g	28.680	4840A_1g⊕4720A_2g⊕9560E_g
(l=239)	479	-----	79A_1u⊕80A_2u⊕160E_u	28.920	4760A_1u⊕4880A_2u⊕9640E_u
(l=240)	481	-----	81A_1g⊕80A_2g⊕160E_g	29.161	4921A_1g⊕4800A_2g⊕9720E_g
(l=241)	483	-----	80A_1u⊕81A_2u⊕161E_u	29.403	4840A_1u⊕4961A_2u⊕9801E_u
(l=242)	485	-----	81A_1g⊕80A_2g⊕162E_g	29.646	5002A_1g⊕4880A_2g⊕9882E_g
(l=243)	487	-----	81A_1u⊕82A_2u⊕162E_u	29.890	4921A_1u⊕5043A_2u⊕9963E_u
(l=244)	489	-----	82A_1g⊕81A_2g⊕163E_g	30.135	5084A_1g⊕4961A_2g⊕10045E_g
(l=245)	491	-----	81A_1u⊕82A_2u⊕164E_u	30.381	5002A_1u⊕5125A_2u⊕10127E_u
(l=246)	493	-----	83A_1g⊕82A_2g⊕164E_g	30.628	5167A_1g⊕5043A_2g⊕10209E_g
(l=247)	495	-----	82A_1u⊕83A_2u⊕165E_u	30.876	5084A_1u⊕5208A_2u⊕10292E_u
(l=248)	497	-----	83A_1g⊕82A_2g⊕166E_g	31.125	5250A_1g⊕5125A_2g⊕10375E_g
(l=249)	499	-----	83A_1u⊕84A_2u⊕166E_u	31.375	5167A_1u⊕5292A_2u⊕10458E_u
(l=250)	501	-----	84A_1g⊕83A_2g⊕167E_g	31.626	5334A_1g⊕5208A_2g⊕10542E_g
(l=251)	503	-----	83A_1u⊕84A_2u⊕168E_u	31.878	5250A_1u⊕5376A_2u⊕10626E_u
(l=252)	505	-----	85A_1g⊕84A_2g⊕168E_g	32.131	5419A_1g⊕5292A_2g⊕10710E_g
(l=253)	507	-----	84A_1u⊕85A_2u⊕169E_u	32.385	5334A_1u⊕5461A_2u⊕10795E_u
(l=254)	509	-----	85A_1g⊕84A_2g⊕170E_g	32.640	5504A_1g⊕5376A_2g⊕10880E_g
(l=255)	511	-----	85A_1u⊕86A_2u⊕170E_u	32.896	5419A_1u⊕5547A_2u⊕10965E_u
(l=256)	513	-----	86A_1g⊕85A_2g⊕171E_g	33.153	5590A_1g⊕5461A_2g⊕11051E_g

Point Group D_3d

Spherical harmonics and Multipoles
Symmetric Powers of Γ_xyz

Point Group D3d

Spherical harmonics and MultipolesSymmetric Powers of Γxyz

Point Group D_3d

Spherical harmonics and Multipoles
Symmetric Powers of Γ_xyz