Multipoles for Point Group C4h

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_g	1	A_g
p (l=1)	3	Dipole	A_u⊕E_u	3	A_u⊕E_u
d (l=2)	5	Quadrupole	A_g⊕2B_g⊕E_g	6	2A_g⊕2B_g⊕E_g
f (l=3)	7	Octupole	A_u⊕2B_u⊕2E_u	10	2A_u⊕2B_u⊕3E_u
g (l=4)	9	Hexadecapole	3A_g⊕2B_g⊕2E_g	15	5A_g⊕4B_g⊕3E_g
h (l=5)	11	Dotricontapole	3A_u⊕2B_u⊕3E_u	21	5A_u⊕4B_u⊕6E_u
i (l=6)	13	Tetrahexacontapole	3A_g⊕4B_g⊕3E_g	28	8A_g⊕8B_g⊕6E_g
j (l=7)	15	Octacosahectapole	3A_u⊕4B_u⊕4E_u	36	8A_u⊕8B_u⊕10E_u
k (l=8)	17	256--pole	5A_g⊕4B_g⊕4E_g	45	13A_g⊕12B_g⊕10E_g
l (l=9)	19	512--pole	5A_u⊕4B_u⊕5E_u	55	13A_u⊕12B_u⊕15E_u
m (l=10)	21	1.024--pole	5A_g⊕6B_g⊕5E_g	66	18A_g⊕18B_g⊕15E_g
n (l=11)	23	2.048--pole	5A_u⊕6B_u⊕6E_u	78	18A_u⊕18B_u⊕21E_u
o (l=12)	25	4.096--pole	7A_g⊕6B_g⊕6E_g	91	25A_g⊕24B_g⊕21E_g
q (l=13)	27	8.192--pole	7A_u⊕6B_u⊕7E_u	105	25A_u⊕24B_u⊕28E_u
r (l=14)	29	16.384--pole	7A_g⊕8B_g⊕7E_g	120	32A_g⊕32B_g⊕28E_g
t (l=15)	31	32.768--pole	7A_u⊕8B_u⊕8E_u	136	32A_u⊕32B_u⊕36E_u
u (l=16)	33	65.536--pole	9A_g⊕8B_g⊕8E_g	153	41A_g⊕40B_g⊕36E_g
v (l=17)	35	131.072--pole	9A_u⊕8B_u⊕9E_u	171	41A_u⊕40B_u⊕45E_u
w (l=18)	37	262.144--pole	9A_g⊕10B_g⊕9E_g	190	50A_g⊕50B_g⊕45E_g
x (l=19)	39	524.288--pole	9A_u⊕10B_u⊕10E_u	210	50A_u⊕50B_u⊕55E_u
y (l=20)	41	1.048.576--pole	11A_g⊕10B_g⊕10E_g	231	61A_g⊕60B_g⊕55E_g
z (l=21)	43	2.097.152--pole	11A_u⊕10B_u⊕11E_u	253	61A_u⊕60B_u⊕66E_u
(l=22)	45	4.194.304--pole	11A_g⊕12B_g⊕11E_g	276	72A_g⊕72B_g⊕66E_g
(l=23)	47	8.388.608--pole	11A_u⊕12B_u⊕12E_u	300	72A_u⊕72B_u⊕78E_u
(l=24)	49	16.777.216--pole	13A_g⊕12B_g⊕12E_g	325	85A_g⊕84B_g⊕78E_g
(l=25)	51	33.554.432--pole	13A_u⊕12B_u⊕13E_u	351	85A_u⊕84B_u⊕91E_u
(l=26)	53	67.108.864--pole	13A_g⊕14B_g⊕13E_g	378	98A_g⊕98B_g⊕91E_g
(l=27)	55	134.217.728--pole	13A_u⊕14B_u⊕14E_u	406	98A_u⊕98B_u⊕105E_u
(l=28)	57	268.435.456--pole	15A_g⊕14B_g⊕14E_g	435	113A_g⊕112B_g⊕105E_g
(l=29)	59	536.870.912--pole	15A_u⊕14B_u⊕15E_u	465	113A_u⊕112B_u⊕120E_u
(l=30)	61	1.073.741.824--pole	15A_g⊕16B_g⊕15E_g	496	128A_g⊕128B_g⊕120E_g
(l=31)	63	2.147.483.648--pole	15A_u⊕16B_u⊕16E_u	528	128A_u⊕128B_u⊕136E_u
(l=32)	65	4.294.967.296--pole	17A_g⊕16B_g⊕16E_g	561	145A_g⊕144B_g⊕136E_g
(l=33)	67	8.589.934.592--pole	17A_u⊕16B_u⊕17E_u	595	145A_u⊕144B_u⊕153E_u
(l=34)	69	17.179.869.184--pole	17A_g⊕18B_g⊕17E_g	630	162A_g⊕162B_g⊕153E_g
(l=35)	71	34.359.738.368--pole	17A_u⊕18B_u⊕18E_u	666	162A_u⊕162B_u⊕171E_u
(l=36)	73	68.719.476.736--pole	19A_g⊕18B_g⊕18E_g	703	181A_g⊕180B_g⊕171E_g
(l=37)	75	137.438.953.472--pole	19A_u⊕18B_u⊕19E_u	741	181A_u⊕180B_u⊕190E_u
(l=38)	77	274.877.906.944--pole	19A_g⊕20B_g⊕19E_g	780	200A_g⊕200B_g⊕190E_g
(l=39)	79	549.755.813.888--pole	19A_u⊕20B_u⊕20E_u	820	200A_u⊕200B_u⊕210E_u
(l=40)	81	1.099.511.627.776--pole	21A_g⊕20B_g⊕20E_g	861	221A_g⊕220B_g⊕210E_g
(l=41)	83	2.199.023.255.552--pole	21A_u⊕20B_u⊕21E_u	903	221A_u⊕220B_u⊕231E_u
(l=42)	85	4.398.046.511.104--pole	21A_g⊕22B_g⊕21E_g	946	242A_g⊕242B_g⊕231E_g
(l=43)	87	8.796.093.022.208--pole	21A_u⊕22B_u⊕22E_u	990	242A_u⊕242B_u⊕253E_u
(l=44)	89	17.592.186.044.416--pole	23A_g⊕22B_g⊕22E_g	1.035	265A_g⊕264B_g⊕253E_g
(l=45)	91	35.184.372.088.832--pole	23A_u⊕22B_u⊕23E_u	1.081	265A_u⊕264B_u⊕276E_u
(l=46)	93	70.368.744.177.664--pole	23A_g⊕24B_g⊕23E_g	1.128	288A_g⊕288B_g⊕276E_g
(l=47)	95	140.737.488.355.328--pole	23A_u⊕24B_u⊕24E_u	1.176	288A_u⊕288B_u⊕300E_u
(l=48)	97	281.474.976.710.656--pole	25A_g⊕24B_g⊕24E_g	1.225	313A_g⊕312B_g⊕300E_g
(l=49)	99	562.949.953.421.312--pole	25A_u⊕24B_u⊕25E_u	1.275	313A_u⊕312B_u⊕325E_u
(l=50)	101	1.125.899.906.842.624--pole	25A_g⊕26B_g⊕25E_g	1.326	338A_g⊕338B_g⊕325E_g
(l=51)	103	2.251.799.813.685.248--pole	25A_u⊕26B_u⊕26E_u	1.378	338A_u⊕338B_u⊕351E_u
(l=52)	105	4.503.599.627.370.496--pole	27A_g⊕26B_g⊕26E_g	1.431	365A_g⊕364B_g⊕351E_g
(l=53)	107	9.007.199.254.740.992--pole	27A_u⊕26B_u⊕27E_u	1.485	365A_u⊕364B_u⊕378E_u
(l=54)	109	18.014.398.509.481.984--pole	27A_g⊕28B_g⊕27E_g	1.540	392A_g⊕392B_g⊕378E_g
(l=55)	111	36.028.797.018.963.968--pole	27A_u⊕28B_u⊕28E_u	1.596	392A_u⊕392B_u⊕406E_u
(l=56)	113	72.057.594.037.927.936--pole	29A_g⊕28B_g⊕28E_g	1.653	421A_g⊕420B_g⊕406E_g
(l=57)	115	144.115.188.075.855.872--pole	29A_u⊕28B_u⊕29E_u	1.711	421A_u⊕420B_u⊕435E_u
(l=58)	117	288.230.376.151.711.744--pole	29A_g⊕30B_g⊕29E_g	1.770	450A_g⊕450B_g⊕435E_g
(l=59)	119	576.460.752.303.423.488--pole	29A_u⊕30B_u⊕30E_u	1.830	450A_u⊕450B_u⊕465E_u
(l=60)	121	1.152.921.504.606.846.976--pole	31A_g⊕30B_g⊕30E_g	1.891	481A_g⊕480B_g⊕465E_g
(l=61)	123	2.305.843.009.213.693.952--pole	31A_u⊕30B_u⊕31E_u	1.953	481A_u⊕480B_u⊕496E_u
(l=62)	125	4.611.686.018.427.387.904--pole	31A_g⊕32B_g⊕31E_g	2.016	512A_g⊕512B_g⊕496E_g
(l=63)	127	-----	31A_u⊕32B_u⊕32E_u	2.080	512A_u⊕512B_u⊕528E_u
(l=64)	129	-----	33A_g⊕32B_g⊕32E_g	2.145	545A_g⊕544B_g⊕528E_g
(l=65)	131	-----	33A_u⊕32B_u⊕33E_u	2.211	545A_u⊕544B_u⊕561E_u
(l=66)	133	-----	33A_g⊕34B_g⊕33E_g	2.278	578A_g⊕578B_g⊕561E_g
(l=67)	135	-----	33A_u⊕34B_u⊕34E_u	2.346	578A_u⊕578B_u⊕595E_u
(l=68)	137	-----	35A_g⊕34B_g⊕34E_g	2.415	613A_g⊕612B_g⊕595E_g
(l=69)	139	-----	35A_u⊕34B_u⊕35E_u	2.485	613A_u⊕612B_u⊕630E_u
(l=70)	141	-----	35A_g⊕36B_g⊕35E_g	2.556	648A_g⊕648B_g⊕630E_g
(l=71)	143	-----	35A_u⊕36B_u⊕36E_u	2.628	648A_u⊕648B_u⊕666E_u
(l=72)	145	-----	37A_g⊕36B_g⊕36E_g	2.701	685A_g⊕684B_g⊕666E_g
(l=73)	147	-----	37A_u⊕36B_u⊕37E_u	2.775	685A_u⊕684B_u⊕703E_u
(l=74)	149	-----	37A_g⊕38B_g⊕37E_g	2.850	722A_g⊕722B_g⊕703E_g
(l=75)	151	-----	37A_u⊕38B_u⊕38E_u	2.926	722A_u⊕722B_u⊕741E_u
(l=76)	153	-----	39A_g⊕38B_g⊕38E_g	3.003	761A_g⊕760B_g⊕741E_g
(l=77)	155	-----	39A_u⊕38B_u⊕39E_u	3.081	761A_u⊕760B_u⊕780E_u
(l=78)	157	-----	39A_g⊕40B_g⊕39E_g	3.160	800A_g⊕800B_g⊕780E_g
(l=79)	159	-----	39A_u⊕40B_u⊕40E_u	3.240	800A_u⊕800B_u⊕820E_u
(l=80)	161	-----	41A_g⊕40B_g⊕40E_g	3.321	841A_g⊕840B_g⊕820E_g
(l=81)	163	-----	41A_u⊕40B_u⊕41E_u	3.403	841A_u⊕840B_u⊕861E_u
(l=82)	165	-----	41A_g⊕42B_g⊕41E_g	3.486	882A_g⊕882B_g⊕861E_g
(l=83)	167	-----	41A_u⊕42B_u⊕42E_u	3.570	882A_u⊕882B_u⊕903E_u
(l=84)	169	-----	43A_g⊕42B_g⊕42E_g	3.655	925A_g⊕924B_g⊕903E_g
(l=85)	171	-----	43A_u⊕42B_u⊕43E_u	3.741	925A_u⊕924B_u⊕946E_u
(l=86)	173	-----	43A_g⊕44B_g⊕43E_g	3.828	968A_g⊕968B_g⊕946E_g
(l=87)	175	-----	43A_u⊕44B_u⊕44E_u	3.916	968A_u⊕968B_u⊕990E_u
(l=88)	177	-----	45A_g⊕44B_g⊕44E_g	4.005	1013A_g⊕1012B_g⊕990E_g
(l=89)	179	-----	45A_u⊕44B_u⊕45E_u	4.095	1013A_u⊕1012B_u⊕1035E_u
(l=90)	181	-----	45A_g⊕46B_g⊕45E_g	4.186	1058A_g⊕1058B_g⊕1035E_g
(l=91)	183	-----	45A_u⊕46B_u⊕46E_u	4.278	1058A_u⊕1058B_u⊕1081E_u
(l=92)	185	-----	47A_g⊕46B_g⊕46E_g	4.371	1105A_g⊕1104B_g⊕1081E_g
(l=93)	187	-----	47A_u⊕46B_u⊕47E_u	4.465	1105A_u⊕1104B_u⊕1128E_u
(l=94)	189	-----	47A_g⊕48B_g⊕47E_g	4.560	1152A_g⊕1152B_g⊕1128E_g
(l=95)	191	-----	47A_u⊕48B_u⊕48E_u	4.656	1152A_u⊕1152B_u⊕1176E_u
(l=96)	193	-----	49A_g⊕48B_g⊕48E_g	4.753	1201A_g⊕1200B_g⊕1176E_g
(l=97)	195	-----	49A_u⊕48B_u⊕49E_u	4.851	1201A_u⊕1200B_u⊕1225E_u
(l=98)	197	-----	49A_g⊕50B_g⊕49E_g	4.950	1250A_g⊕1250B_g⊕1225E_g
(l=99)	199	-----	49A_u⊕50B_u⊕50E_u	5.050	1250A_u⊕1250B_u⊕1275E_u
(l=100)	201	-----	51A_g⊕50B_g⊕50E_g	5.151	1301A_g⊕1300B_g⊕1275E_g
(l=101)	203	-----	51A_u⊕50B_u⊕51E_u	5.253	1301A_u⊕1300B_u⊕1326E_u
(l=102)	205	-----	51A_g⊕52B_g⊕51E_g	5.356	1352A_g⊕1352B_g⊕1326E_g
(l=103)	207	-----	51A_u⊕52B_u⊕52E_u	5.460	1352A_u⊕1352B_u⊕1378E_u
(l=104)	209	-----	53A_g⊕52B_g⊕52E_g	5.565	1405A_g⊕1404B_g⊕1378E_g
(l=105)	211	-----	53A_u⊕52B_u⊕53E_u	5.671	1405A_u⊕1404B_u⊕1431E_u
(l=106)	213	-----	53A_g⊕54B_g⊕53E_g	5.778	1458A_g⊕1458B_g⊕1431E_g
(l=107)	215	-----	53A_u⊕54B_u⊕54E_u	5.886	1458A_u⊕1458B_u⊕1485E_u
(l=108)	217	-----	55A_g⊕54B_g⊕54E_g	5.995	1513A_g⊕1512B_g⊕1485E_g
(l=109)	219	-----	55A_u⊕54B_u⊕55E_u	6.105	1513A_u⊕1512B_u⊕1540E_u
(l=110)	221	-----	55A_g⊕56B_g⊕55E_g	6.216	1568A_g⊕1568B_g⊕1540E_g
(l=111)	223	-----	55A_u⊕56B_u⊕56E_u	6.328	1568A_u⊕1568B_u⊕1596E_u
(l=112)	225	-----	57A_g⊕56B_g⊕56E_g	6.441	1625A_g⊕1624B_g⊕1596E_g
(l=113)	227	-----	57A_u⊕56B_u⊕57E_u	6.555	1625A_u⊕1624B_u⊕1653E_u
(l=114)	229	-----	57A_g⊕58B_g⊕57E_g	6.670	1682A_g⊕1682B_g⊕1653E_g
(l=115)	231	-----	57A_u⊕58B_u⊕58E_u	6.786	1682A_u⊕1682B_u⊕1711E_u
(l=116)	233	-----	59A_g⊕58B_g⊕58E_g	6.903	1741A_g⊕1740B_g⊕1711E_g
(l=117)	235	-----	59A_u⊕58B_u⊕59E_u	7.021	1741A_u⊕1740B_u⊕1770E_u
(l=118)	237	-----	59A_g⊕60B_g⊕59E_g	7.140	1800A_g⊕1800B_g⊕1770E_g
(l=119)	239	-----	59A_u⊕60B_u⊕60E_u	7.260	1800A_u⊕1800B_u⊕1830E_u
(l=120)	241	-----	61A_g⊕60B_g⊕60E_g	7.381	1861A_g⊕1860B_g⊕1830E_g
(l=121)	243	-----	61A_u⊕60B_u⊕61E_u	7.503	1861A_u⊕1860B_u⊕1891E_u
(l=122)	245	-----	61A_g⊕62B_g⊕61E_g	7.626	1922A_g⊕1922B_g⊕1891E_g
(l=123)	247	-----	61A_u⊕62B_u⊕62E_u	7.750	1922A_u⊕1922B_u⊕1953E_u
(l=124)	249	-----	63A_g⊕62B_g⊕62E_g	7.875	1985A_g⊕1984B_g⊕1953E_g
(l=125)	251	-----	63A_u⊕62B_u⊕63E_u	8.001	1985A_u⊕1984B_u⊕2016E_u
(l=126)	253	-----	63A_g⊕64B_g⊕63E_g	8.128	2048A_g⊕2048B_g⊕2016E_g
(l=127)	255	-----	63A_u⊕64B_u⊕64E_u	8.256	2048A_u⊕2048B_u⊕2080E_u
(l=128)	257	-----	65A_g⊕64B_g⊕64E_g	8.385	2113A_g⊕2112B_g⊕2080E_g
(l=129)	259	-----	65A_u⊕64B_u⊕65E_u	8.515	2113A_u⊕2112B_u⊕2145E_u
(l=130)	261	-----	65A_g⊕66B_g⊕65E_g	8.646	2178A_g⊕2178B_g⊕2145E_g
(l=131)	263	-----	65A_u⊕66B_u⊕66E_u	8.778	2178A_u⊕2178B_u⊕2211E_u
(l=132)	265	-----	67A_g⊕66B_g⊕66E_g	8.911	2245A_g⊕2244B_g⊕2211E_g
(l=133)	267	-----	67A_u⊕66B_u⊕67E_u	9.045	2245A_u⊕2244B_u⊕2278E_u
(l=134)	269	-----	67A_g⊕68B_g⊕67E_g	9.180	2312A_g⊕2312B_g⊕2278E_g
(l=135)	271	-----	67A_u⊕68B_u⊕68E_u	9.316	2312A_u⊕2312B_u⊕2346E_u
(l=136)	273	-----	69A_g⊕68B_g⊕68E_g	9.453	2381A_g⊕2380B_g⊕2346E_g
(l=137)	275	-----	69A_u⊕68B_u⊕69E_u	9.591	2381A_u⊕2380B_u⊕2415E_u
(l=138)	277	-----	69A_g⊕70B_g⊕69E_g	9.730	2450A_g⊕2450B_g⊕2415E_g
(l=139)	279	-----	69A_u⊕70B_u⊕70E_u	9.870	2450A_u⊕2450B_u⊕2485E_u
(l=140)	281	-----	71A_g⊕70B_g⊕70E_g	10.011	2521A_g⊕2520B_g⊕2485E_g
(l=141)	283	-----	71A_u⊕70B_u⊕71E_u	10.153	2521A_u⊕2520B_u⊕2556E_u
(l=142)	285	-----	71A_g⊕72B_g⊕71E_g	10.296	2592A_g⊕2592B_g⊕2556E_g
(l=143)	287	-----	71A_u⊕72B_u⊕72E_u	10.440	2592A_u⊕2592B_u⊕2628E_u
(l=144)	289	-----	73A_g⊕72B_g⊕72E_g	10.585	2665A_g⊕2664B_g⊕2628E_g
(l=145)	291	-----	73A_u⊕72B_u⊕73E_u	10.731	2665A_u⊕2664B_u⊕2701E_u
(l=146)	293	-----	73A_g⊕74B_g⊕73E_g	10.878	2738A_g⊕2738B_g⊕2701E_g
(l=147)	295	-----	73A_u⊕74B_u⊕74E_u	11.026	2738A_u⊕2738B_u⊕2775E_u
(l=148)	297	-----	75A_g⊕74B_g⊕74E_g	11.175	2813A_g⊕2812B_g⊕2775E_g
(l=149)	299	-----	75A_u⊕74B_u⊕75E_u	11.325	2813A_u⊕2812B_u⊕2850E_u
(l=150)	301	-----	75A_g⊕76B_g⊕75E_g	11.476	2888A_g⊕2888B_g⊕2850E_g
(l=151)	303	-----	75A_u⊕76B_u⊕76E_u	11.628	2888A_u⊕2888B_u⊕2926E_u
(l=152)	305	-----	77A_g⊕76B_g⊕76E_g	11.781	2965A_g⊕2964B_g⊕2926E_g
(l=153)	307	-----	77A_u⊕76B_u⊕77E_u	11.935	2965A_u⊕2964B_u⊕3003E_u
(l=154)	309	-----	77A_g⊕78B_g⊕77E_g	12.090	3042A_g⊕3042B_g⊕3003E_g
(l=155)	311	-----	77A_u⊕78B_u⊕78E_u	12.246	3042A_u⊕3042B_u⊕3081E_u
(l=156)	313	-----	79A_g⊕78B_g⊕78E_g	12.403	3121A_g⊕3120B_g⊕3081E_g
(l=157)	315	-----	79A_u⊕78B_u⊕79E_u	12.561	3121A_u⊕3120B_u⊕3160E_u
(l=158)	317	-----	79A_g⊕80B_g⊕79E_g	12.720	3200A_g⊕3200B_g⊕3160E_g
(l=159)	319	-----	79A_u⊕80B_u⊕80E_u	12.880	3200A_u⊕3200B_u⊕3240E_u
(l=160)	321	-----	81A_g⊕80B_g⊕80E_g	13.041	3281A_g⊕3280B_g⊕3240E_g
(l=161)	323	-----	81A_u⊕80B_u⊕81E_u	13.203	3281A_u⊕3280B_u⊕3321E_u
(l=162)	325	-----	81A_g⊕82B_g⊕81E_g	13.366	3362A_g⊕3362B_g⊕3321E_g
(l=163)	327	-----	81A_u⊕82B_u⊕82E_u	13.530	3362A_u⊕3362B_u⊕3403E_u
(l=164)	329	-----	83A_g⊕82B_g⊕82E_g	13.695	3445A_g⊕3444B_g⊕3403E_g
(l=165)	331	-----	83A_u⊕82B_u⊕83E_u	13.861	3445A_u⊕3444B_u⊕3486E_u
(l=166)	333	-----	83A_g⊕84B_g⊕83E_g	14.028	3528A_g⊕3528B_g⊕3486E_g
(l=167)	335	-----	83A_u⊕84B_u⊕84E_u	14.196	3528A_u⊕3528B_u⊕3570E_u
(l=168)	337	-----	85A_g⊕84B_g⊕84E_g	14.365	3613A_g⊕3612B_g⊕3570E_g
(l=169)	339	-----	85A_u⊕84B_u⊕85E_u	14.535	3613A_u⊕3612B_u⊕3655E_u
(l=170)	341	-----	85A_g⊕86B_g⊕85E_g	14.706	3698A_g⊕3698B_g⊕3655E_g
(l=171)	343	-----	85A_u⊕86B_u⊕86E_u	14.878	3698A_u⊕3698B_u⊕3741E_u
(l=172)	345	-----	87A_g⊕86B_g⊕86E_g	15.051	3785A_g⊕3784B_g⊕3741E_g
(l=173)	347	-----	87A_u⊕86B_u⊕87E_u	15.225	3785A_u⊕3784B_u⊕3828E_u
(l=174)	349	-----	87A_g⊕88B_g⊕87E_g	15.400	3872A_g⊕3872B_g⊕3828E_g
(l=175)	351	-----	87A_u⊕88B_u⊕88E_u	15.576	3872A_u⊕3872B_u⊕3916E_u
(l=176)	353	-----	89A_g⊕88B_g⊕88E_g	15.753	3961A_g⊕3960B_g⊕3916E_g
(l=177)	355	-----	89A_u⊕88B_u⊕89E_u	15.931	3961A_u⊕3960B_u⊕4005E_u
(l=178)	357	-----	89A_g⊕90B_g⊕89E_g	16.110	4050A_g⊕4050B_g⊕4005E_g
(l=179)	359	-----	89A_u⊕90B_u⊕90E_u	16.290	4050A_u⊕4050B_u⊕4095E_u
(l=180)	361	-----	91A_g⊕90B_g⊕90E_g	16.471	4141A_g⊕4140B_g⊕4095E_g
(l=181)	363	-----	91A_u⊕90B_u⊕91E_u	16.653	4141A_u⊕4140B_u⊕4186E_u
(l=182)	365	-----	91A_g⊕92B_g⊕91E_g	16.836	4232A_g⊕4232B_g⊕4186E_g
(l=183)	367	-----	91A_u⊕92B_u⊕92E_u	17.020	4232A_u⊕4232B_u⊕4278E_u
(l=184)	369	-----	93A_g⊕92B_g⊕92E_g	17.205	4325A_g⊕4324B_g⊕4278E_g
(l=185)	371	-----	93A_u⊕92B_u⊕93E_u	17.391	4325A_u⊕4324B_u⊕4371E_u
(l=186)	373	-----	93A_g⊕94B_g⊕93E_g	17.578	4418A_g⊕4418B_g⊕4371E_g
(l=187)	375	-----	93A_u⊕94B_u⊕94E_u	17.766	4418A_u⊕4418B_u⊕4465E_u
(l=188)	377	-----	95A_g⊕94B_g⊕94E_g	17.955	4513A_g⊕4512B_g⊕4465E_g
(l=189)	379	-----	95A_u⊕94B_u⊕95E_u	18.145	4513A_u⊕4512B_u⊕4560E_u
(l=190)	381	-----	95A_g⊕96B_g⊕95E_g	18.336	4608A_g⊕4608B_g⊕4560E_g
(l=191)	383	-----	95A_u⊕96B_u⊕96E_u	18.528	4608A_u⊕4608B_u⊕4656E_u
(l=192)	385	-----	97A_g⊕96B_g⊕96E_g	18.721	4705A_g⊕4704B_g⊕4656E_g
(l=193)	387	-----	97A_u⊕96B_u⊕97E_u	18.915	4705A_u⊕4704B_u⊕4753E_u
(l=194)	389	-----	97A_g⊕98B_g⊕97E_g	19.110	4802A_g⊕4802B_g⊕4753E_g
(l=195)	391	-----	97A_u⊕98B_u⊕98E_u	19.306	4802A_u⊕4802B_u⊕4851E_u
(l=196)	393	-----	99A_g⊕98B_g⊕98E_g	19.503	4901A_g⊕4900B_g⊕4851E_g
(l=197)	395	-----	99A_u⊕98B_u⊕99E_u	19.701	4901A_u⊕4900B_u⊕4950E_u
(l=198)	397	-----	99A_g⊕100B_g⊕99E_g	19.900	5000A_g⊕5000B_g⊕4950E_g
(l=199)	399	-----	99A_u⊕100B_u⊕100E_u	20.100	5000A_u⊕5000B_u⊕5050E_u
(l=200)	401	-----	101A_g⊕100B_g⊕100E_g	20.301	5101A_g⊕5100B_g⊕5050E_g
(l=201)	403	-----	101A_u⊕100B_u⊕101E_u	20.503	5101A_u⊕5100B_u⊕5151E_u
(l=202)	405	-----	101A_g⊕102B_g⊕101E_g	20.706	5202A_g⊕5202B_g⊕5151E_g
(l=203)	407	-----	101A_u⊕102B_u⊕102E_u	20.910	5202A_u⊕5202B_u⊕5253E_u
(l=204)	409	-----	103A_g⊕102B_g⊕102E_g	21.115	5305A_g⊕5304B_g⊕5253E_g
(l=205)	411	-----	103A_u⊕102B_u⊕103E_u	21.321	5305A_u⊕5304B_u⊕5356E_u
(l=206)	413	-----	103A_g⊕104B_g⊕103E_g	21.528	5408A_g⊕5408B_g⊕5356E_g
(l=207)	415	-----	103A_u⊕104B_u⊕104E_u	21.736	5408A_u⊕5408B_u⊕5460E_u
(l=208)	417	-----	105A_g⊕104B_g⊕104E_g	21.945	5513A_g⊕5512B_g⊕5460E_g
(l=209)	419	-----	105A_u⊕104B_u⊕105E_u	22.155	5513A_u⊕5512B_u⊕5565E_u
(l=210)	421	-----	105A_g⊕106B_g⊕105E_g	22.366	5618A_g⊕5618B_g⊕5565E_g
(l=211)	423	-----	105A_u⊕106B_u⊕106E_u	22.578	5618A_u⊕5618B_u⊕5671E_u
(l=212)	425	-----	107A_g⊕106B_g⊕106E_g	22.791	5725A_g⊕5724B_g⊕5671E_g
(l=213)	427	-----	107A_u⊕106B_u⊕107E_u	23.005	5725A_u⊕5724B_u⊕5778E_u
(l=214)	429	-----	107A_g⊕108B_g⊕107E_g	23.220	5832A_g⊕5832B_g⊕5778E_g
(l=215)	431	-----	107A_u⊕108B_u⊕108E_u	23.436	5832A_u⊕5832B_u⊕5886E_u
(l=216)	433	-----	109A_g⊕108B_g⊕108E_g	23.653	5941A_g⊕5940B_g⊕5886E_g
(l=217)	435	-----	109A_u⊕108B_u⊕109E_u	23.871	5941A_u⊕5940B_u⊕5995E_u
(l=218)	437	-----	109A_g⊕110B_g⊕109E_g	24.090	6050A_g⊕6050B_g⊕5995E_g
(l=219)	439	-----	109A_u⊕110B_u⊕110E_u	24.310	6050A_u⊕6050B_u⊕6105E_u
(l=220)	441	-----	111A_g⊕110B_g⊕110E_g	24.531	6161A_g⊕6160B_g⊕6105E_g
(l=221)	443	-----	111A_u⊕110B_u⊕111E_u	24.753	6161A_u⊕6160B_u⊕6216E_u
(l=222)	445	-----	111A_g⊕112B_g⊕111E_g	24.976	6272A_g⊕6272B_g⊕6216E_g
(l=223)	447	-----	111A_u⊕112B_u⊕112E_u	25.200	6272A_u⊕6272B_u⊕6328E_u
(l=224)	449	-----	113A_g⊕112B_g⊕112E_g	25.425	6385A_g⊕6384B_g⊕6328E_g
(l=225)	451	-----	113A_u⊕112B_u⊕113E_u	25.651	6385A_u⊕6384B_u⊕6441E_u
(l=226)	453	-----	113A_g⊕114B_g⊕113E_g	25.878	6498A_g⊕6498B_g⊕6441E_g
(l=227)	455	-----	113A_u⊕114B_u⊕114E_u	26.106	6498A_u⊕6498B_u⊕6555E_u
(l=228)	457	-----	115A_g⊕114B_g⊕114E_g	26.335	6613A_g⊕6612B_g⊕6555E_g
(l=229)	459	-----	115A_u⊕114B_u⊕115E_u	26.565	6613A_u⊕6612B_u⊕6670E_u
(l=230)	461	-----	115A_g⊕116B_g⊕115E_g	26.796	6728A_g⊕6728B_g⊕6670E_g
(l=231)	463	-----	115A_u⊕116B_u⊕116E_u	27.028	6728A_u⊕6728B_u⊕6786E_u
(l=232)	465	-----	117A_g⊕116B_g⊕116E_g	27.261	6845A_g⊕6844B_g⊕6786E_g
(l=233)	467	-----	117A_u⊕116B_u⊕117E_u	27.495	6845A_u⊕6844B_u⊕6903E_u
(l=234)	469	-----	117A_g⊕118B_g⊕117E_g	27.730	6962A_g⊕6962B_g⊕6903E_g
(l=235)	471	-----	117A_u⊕118B_u⊕118E_u	27.966	6962A_u⊕6962B_u⊕7021E_u
(l=236)	473	-----	119A_g⊕118B_g⊕118E_g	28.203	7081A_g⊕7080B_g⊕7021E_g
(l=237)	475	-----	119A_u⊕118B_u⊕119E_u	28.441	7081A_u⊕7080B_u⊕7140E_u
(l=238)	477	-----	119A_g⊕120B_g⊕119E_g	28.680	7200A_g⊕7200B_g⊕7140E_g
(l=239)	479	-----	119A_u⊕120B_u⊕120E_u	28.920	7200A_u⊕7200B_u⊕7260E_u
(l=240)	481	-----	121A_g⊕120B_g⊕120E_g	29.161	7321A_g⊕7320B_g⊕7260E_g
(l=241)	483	-----	121A_u⊕120B_u⊕121E_u	29.403	7321A_u⊕7320B_u⊕7381E_u
(l=242)	485	-----	121A_g⊕122B_g⊕121E_g	29.646	7442A_g⊕7442B_g⊕7381E_g
(l=243)	487	-----	121A_u⊕122B_u⊕122E_u	29.890	7442A_u⊕7442B_u⊕7503E_u
(l=244)	489	-----	123A_g⊕122B_g⊕122E_g	30.135	7565A_g⊕7564B_g⊕7503E_g
(l=245)	491	-----	123A_u⊕122B_u⊕123E_u	30.381	7565A_u⊕7564B_u⊕7626E_u
(l=246)	493	-----	123A_g⊕124B_g⊕123E_g	30.628	7688A_g⊕7688B_g⊕7626E_g
(l=247)	495	-----	123A_u⊕124B_u⊕124E_u	30.876	7688A_u⊕7688B_u⊕7750E_u
(l=248)	497	-----	125A_g⊕124B_g⊕124E_g	31.125	7813A_g⊕7812B_g⊕7750E_g
(l=249)	499	-----	125A_u⊕124B_u⊕125E_u	31.375	7813A_u⊕7812B_u⊕7875E_u
(l=250)	501	-----	125A_g⊕126B_g⊕125E_g	31.626	7938A_g⊕7938B_g⊕7875E_g
(l=251)	503	-----	125A_u⊕126B_u⊕126E_u	31.878	7938A_u⊕7938B_u⊕8001E_u
(l=252)	505	-----	127A_g⊕126B_g⊕126E_g	32.131	8065A_g⊕8064B_g⊕8001E_g
(l=253)	507	-----	127A_u⊕126B_u⊕127E_u	32.385	8065A_u⊕8064B_u⊕8128E_u
(l=254)	509	-----	127A_g⊕128B_g⊕127E_g	32.640	8192A_g⊕8192B_g⊕8128E_g
(l=255)	511	-----	127A_u⊕128B_u⊕128E_u	32.896	8192A_u⊕8192B_u⊕8256E_u
(l=256)	513	-----	129A_g⊕128B_g⊕128E_g	33.153	8321A_g⊕8320B_g⊕8256E_g

Point Group C_4h

Spherical harmonics and Multipoles
Symmetric Powers of Γ_xyz

Point Group C4h

Spherical harmonics and MultipolesSymmetric Powers of Γxyz

Point Group C_4h

Spherical harmonics and Multipoles
Symmetric Powers of Γ_xyz