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rd  - 1962 - ENC Conference

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First-o<strong>rd</strong>er perturbation theory gives for the energy level number ~ !,<br />

L ~ . Thus the first-o<strong>rd</strong>er corrections<br />

to the transitions energies are given by the differences of the form<br />

•<br />

Below the results for the ABC system~it is hoped~are given in<br />

sufficient detail to be understandable. The results for the ABC and<br />

A2B 2 systems were derived by us sometime ago, but they have not been<br />

exhaustively checked for algebraic errors. We present them here for what<br />

they are worth to the practicing NMR spectroscopist. We have also<br />

obtained the perturbation expressions for the transitions of the ABC and<br />

A2~ systems which are easily derivable from the energy level perturbations<br />

given here. We have similar results for the ABX, A2X2J ABC B and ABX 3<br />

systems. We hope to make this work generally available soon either as a<br />

JPL report or external publication.<br />

2

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