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Copyright by Kirsten Viering 2006 - Raizen Lab - The University of ...

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F’=2 −<br />

F’=1<br />

mF = −2 mF = −1 mF = 0 mF = 1 mF = 2<br />

1<br />

6<br />

−<br />

<br />

1<br />

24<br />

<br />

1<br />

8<br />

0<br />

1<br />

6<br />

<br />

1<br />

24<br />

<br />

1<br />

8<br />

Table B.9: Sodium D1-line hyperfine dipole transition matrix elements for π transitions<br />

(F = 2mF → F ′ m ′<br />

F = mF) in multiples <strong>of</strong> 〈J = 1<br />

2 ||µ2 ||J ′ = 1<br />

2 〉<br />

1<br />

6<br />

mF = −2 mF = −1 mF = 0 mF = 1 mF = 2<br />

F’=2 −<br />

F’=1<br />

1<br />

12<br />

<br />

1<br />

8<br />

<br />

1<br />

24<br />

−<br />

<br />

1<br />

8<br />

<br />

1<br />

8<br />

Table B.10: Sodium D1-line hyperfine dipole transition matrix elements for σ− transitions<br />

(F = 2mF → F ′ m ′<br />

F = mF − 1) in multiples <strong>of</strong> 〈J = 1<br />

2 ||µ2 ||J ′ = 1<br />

2 〉<br />

F’=2 −<br />

F’=1 −<br />

−<br />

mF = −1 mF = 0 mF = 1<br />

<br />

1<br />

24<br />

<br />

1<br />

24<br />

−<br />

−<br />

<br />

1<br />

8<br />

<br />

1<br />

24<br />

Table B.11: Sodium D1-line hyperfine dipole transition matrix elements for σ + transitions<br />

(F = 1mF → F ′ m ′<br />

F = mF + 1) in multiples <strong>of</strong> 〈J = 1<br />

2 ||µ2 ||J ′ = 1<br />

2 〉<br />

F’=2<br />

F’=1<br />

1<br />

2<br />

mF = −1 mF = 0 mF = 1<br />

<br />

1<br />

8<br />

1<br />

6<br />

1<br />

24 0 −<br />

<br />

1<br />

8<br />

<br />

1<br />

24<br />

Table B.12: Sodium D1-line hyperfine dipole transition matrix elements for π transitions<br />

(F = 1mF → F ′ m ′<br />

F = mF) in multiples <strong>of</strong> 〈J = 1<br />

2 ||µ2 ||J ′ = 1<br />

2 〉<br />

F’=2 − 1<br />

2<br />

F’=1<br />

mF = −1 mF = 0 mF = 1<br />

<br />

1<br />

8<br />

<br />

1<br />

24<br />

−<br />

<br />

1<br />

24<br />

<br />

1<br />

24<br />

Table B.13: Sodium D1-line hyperfine dipole transition matrix elements for σ− transitions<br />

(F = 1mF → F ′ m ′<br />

F = mF − 1) in multiples <strong>of</strong> 〈J = 1<br />

2 ||µ2 ||J ′ = 1<br />

2 〉<br />

61<br />

−<br />

−<br />

1<br />

12<br />

1<br />

2

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