funciones de onda 25098

1
n l m PARTE RADIAL PARTE ANGULAR 1 0 0 2(Z/ao) 3/2 e (-Zr/ao) (1/4π) 1/2 2 0 0 (1/8) 1/2 (Z/ao) 3/2 (2 – Zr/ao) e (-Zr/2ao) (1/4π) 1/2 1 0 (1/24) 1/2 (Z/ao) 3/2 (Zr/ao) e (-Zr/2ao) (3/4π) 1/2 cosθ + 1 (3/8π) 1/2 (2)senθ cosφ - 1 (3/8π) 1/2 (2)senθ senφ 3 0 0 (1/243) 1/2 (Z/ao) 3/2 (6 – 4Zr/ao + (2Zr/3ao) 2 ) e (-Zr/3ao) (1/4π) 1/2 1 0 (1/486) 1/2 (Z/ao) 3/2 (2Zr/3ao) (4 – 2Zr/3ao) e (-Zr/3ao) (3/4π) 1/2 cosθ + 1 (3/8π) 1/2 (2)senθ cosφ -1 (3/8π) 1/2 (2)senθ senφ 2 0 (1/2430) 1/2 (Z/ao) 3/2 (2Zr/3ao) 2 e (-Zr/3ao) (5/16π) 1/2 (3cos 2 θ - 1) + 1 (15/8π) 1/2 (2)senθ cosθ cosφ - 1 (15/8π) 1/2 (2)senθ cosθ senφ + 2 (15/32π) 1/2 (2)sen 2 θ cos(2φ) - 2 (15/32π) 1/2 (2)sen 2 θ sen(2φ) 4 0 0 (1/96) 1/2 (Z/ao) 3/2 (24 – 18Zr/ao + 3(Zr/ao) 2 - (Zr/2ao) 3 ) e (-Zr/4ao) (1/4π) 1/2 1 0 (1/15360) 1/2 (Z/ao) 3/2 (Zr/2ao) (20 – 5Zr/ao + (Zr/2ao) 2 ) e (-Zr/4ao) (3/4π) 1/2 cosθ + 1 (3/8π) 1/2 (2)senθ cosφ -1 (3/8π) 1/2 (2)senθ senφ 2 0 (1/46080) 1/2 (Z/ao) 3/2 (Zr/2ao) 2 (6 –Zr/2ao) e (-Zr/4ao) (5/16π) 1/2 (3cos 2 θ - 1) + 1 (15/8π) 1/2 (2)senθ cosθ cosφ - 1 (15/8π) 1/2 (2)senθ cosθ senφ + 2 (15/32π) 1/2 (2)sen 2 θ cos(2φ) - 2 (15/32π) 1/2 (2)sen 2 θ sen(2φ) 3 0 (1/322560) 1/2 (Z/ao) 3/2 (Zr/2ao) 3 e (-Zr/4ao) (7/16π) 1/2 (5cos 2 θ - 3) cos θ + 1 (21/64π) 1/2 (2)(5cos 2 θ – 1) senθ cosφ - 1 (21/64π) 1/2 (2)(5cos 2 θ – 1) senθ senφ + 2 (105/32π) 1/2 (2)cosθ sen 2 θ cos(2φ) - 2 (105/32π) 1/2 (2)cosθ sen 2 θ sen(2φ) + 3 (35/64π) 1/2 2 sen 3 θ cos(3φ) - 3 (35/64π) 1/2 2 sen 3 θ sen(3φ)

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Page 1: Funciones de Onda 25098

n l m PARTE RADIAL PARTE ANGULAR

1 0 0 2(Z/ao)3/2 e (-Zr/ao) (1/4π)1/2

2

0 0 (1/8)1/2 (Z/ao)3/2 (2 – Zr/ao) e (-Zr/2ao) (1/4π)1/2

1

0

(1/24)1/2 (Z/ao)3/2 (Zr/ao) e (-Zr/2ao)

(3/4π)1/2 cosθ

+ 1 (3/8π)1/2 (2)senθ cosφ

- 1 (3/8π)1/2 (2)senθ senφ

3

0 0 (1/243)1/2 (Z/ao)3/2 (6 – 4Zr/ao + (2Zr/3ao)2) e (-Zr/3ao) (1/4π)1/2

1

0

(1/486)1/2 (Z/ao)3/2 (2Zr/3ao) (4 – 2Zr/3ao) e (-Zr/3ao)

(3/4π)1/2 cosθ

+ 1 (3/8π)1/2 (2)senθ cosφ

-1 (3/8π)1/2 (2)senθ senφ

2

0

(1/2430)1/2 (Z/ao)3/2 (2Zr/3ao)2 e (-Zr/3ao)

(5/16π)1/2 (3cos2θ - 1)

+ 1 (15/8π)1/2 (2)senθ cosθ cosφ

- 1 (15/8π)1/2 (2)senθ cosθ senφ

+ 2 (15/32π)1/2 (2)sen2θ cos(2φ)

- 2 (15/32π)1/2 (2)sen2θ sen(2φ)

4

0 0 (1/96)1/2 (Z/ao)3/2 (24 – 18Zr/ao + 3(Zr/ao)2 - (Zr/2ao)3) e (-Zr/4ao) (1/4π)1/2

1

0

(1/15360)1/2 (Z/ao)3/2 (Zr/2ao) (20 – 5Zr/ao + (Zr/2ao)2) e (-Zr/4ao)

(3/4π)1/2 cosθ

+ 1 (3/8π)1/2 (2)senθ cosφ

-1 (3/8π)1/2 (2)senθ senφ

2

0

(1/46080)1/2 (Z/ao)3/2 (Zr/2ao)2(6 –Zr/2ao) e (-Zr/4ao)

(5/16π)1/2 (3cos2θ - 1)

+ 1 (15/8π)1/2 (2)senθ cosθ cosφ

- 1 (15/8π)1/2 (2)senθ cosθ senφ

+ 2 (15/32π)1/2 (2)sen2θ cos(2φ)

- 2 (15/32π)1/2 (2)sen2θ sen(2φ)

3

0

(1/322560)1/2 (Z/ao)3/2 (Zr/2ao)3 e (-Zr/4ao)

(7/16π)1/2 (5cos2θ - 3) cos θ

+ 1 (21/64π)1/2 (2)(5cos2θ – 1) senθ cosφ

- 1 (21/64π)1/2 (2)(5cos2θ – 1) senθ senφ

+ 2 (105/32π)1/2 (2)cosθ sen2θ cos(2φ)

- 2 (105/32π)1/2 (2)cosθ sen2θ sen(2φ)

+ 3 (35/64π)1/2 2 sen3θ cos(3φ)

- 3 (35/64π)1/2 2 sen3θ sen(3φ)