P7F.6 Confirm that Y, taken from Table 7F.1, is normalized. You will need to integrate YY,41 over all space using the relevant volume element: 1,+1 1,+1 volume element CYY sin@d®dø 1,+141,+1 Je=0Jo=0 Table 7F.1 The spherical harmonics Ym (0,0) 1/2 4 (유) 1/2 3 1 cose 1/2 3 ±1 sinde*i 1/2 (3 cos'0-1) 16T 1/2 15 ±1 cose sinde*i tip 1/2 15 +2 32n 1/2 7 (5 cos'e-3cose) 3 16T 1/2 21 ±1 (5 cos'e-1)sin Oe** 64T 1/2 105 ±2 sin'e coseei0 32n 1/2 35 13 sin'de* 64T 2.
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