C566lecture20_000

C566lecture20_000 - C566 Master Lecture Notes Lecture 20...

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1 C566 Master Lecture Notes Lecture 20 Orbital angular momentum and -doubling See Section 6.2.5.2 through .8 ORBITAL AND ROTATIONAL ANGULAR MOMENTUM exists when  0 Minimum value of J = . The diatomic molecule here has a orbital angular momentum projection on the internuclear axis of , a rotational angular momentum perpendicular to the internuclear axis of N (any value allowed) and a total angular momentum of J , so the minimum value J (quantum of ) that can be assumed by the molecule is . States with  0 are doubly degenerate: The state in which the projection of the orbital angular momentum = + is equal to that in which it is  . If N 0, these can split. The two degenerate states can be constructed as even (+) and odd (-), and when electronic/rotational coupling becomes large enough, this splits the rotational levels into even and odd components that alternate with J. Energy splitting increases with J via F(J) = qJ(J+1), where q is a constant for a particular state. N J
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2 Spin-Orbit Coupling Cases (a) Russell Saunders Coupling case Spin-spin coupling > orbit-orbit coupling > spin-orbit
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This note was uploaded on 01/18/2012 for the course C 566 taught by Professor Carolinechickjarroll during the Spring '11 term at Indiana.

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C566lecture20_000 - C566 Master Lecture Notes Lecture 20...

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