Using the relationships in Table 8.2, prepare a sketch of the 95% probability surface of a 4p_x orbital.

Table 8.2

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TABLE 8.2 The Angular and Radial Parts of the Wave Functions for a Hydrogen-Like Atom Angular Part Y(0, 6) Radial Part Rne(r) Cartesian 2Zr nao Y(s) Y(px) Y(py)= Y(p₂)= Y(d₂²) Y(d) = Y(dyz) - (1) ¹² = = Y(day)= Y(dz) = = = 3 1/2 4π (2)¹/² 1/1/0 4T r 3 1/2 *** 4T r 5 1/2 32²-² -)² 16T 12² 15 1/2x² - y² 1² (15)" 15 1/2 xy 4T 12 151/2 4T 15 4T = = || Spherical Polar (same as Cartesian) 3 ¹/2 4T 31/2 4T 3 4T sin cos 1/2 sin sin 16T 15 16T 151/2 1/2 Cos 0 5 16T 151/2 47 - (15)¹/² (3 cos² 0 - 1) sin²0 cos 26 1/2 sin²0 sin 26 sin cos 0 cos sin 0 cos sin o σ = R15 R25 R35 R2p R3p R3d = = = = = 2 ao 1 2√2 1 3/2 e-0/2 Z 3/2 ao. Z3/2 (2-a)e 0¹/2 (6 - 60 + ²)e-a/2 ao Z3/2 1 2V6 ao 1 9V6 σer/2 Z3/2 ao. 1 9V/30 ao. (4- a)σe º/2 - (Z.) ³/2 0²e-0/2