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Extra info for A Computer Simulation Of An Induction Heating System - Magnetics, Ieee Transactions On

Example text

J1 S0 l we have C0 =ðkTÞ ¼ (2g=(3kT))jk1 P+1 jm+1 j1 S0 lj2 so that the term parameters C0 ¼ A1 in this case [see Eq. 6. Positive C term. just as for the A term in this case. The main difference between A and C terms is the strong temperature dependence and therefore the field-induced population difference in the ground state for the C term. 6 shows the shape of the positive C term assumed for this case if g is positive. The plot shows that the upper Zeeman sublevel has some population (T . 0 K), and therefore there is a small negative DA on the low-frequency side of the term (exaggerated in the figure perhaps).

In cases where orbitals can be approximated as nearly pure atomic orbitals and the molecular symmetry is high, elegant symmetry techniques are available to assist in the evaluation of the relevant matrix elements. In some high-symmetry cases the signs of the MCD terms are completely symmetry-determined and can be evaluated relatively easily by using tables of symmetry coupling coefficients. The development of the irreducible tensor theory of symmetry coupling coefficients is beyond the scope of the present text; a very complete description is given by Piepho and Schatz [ref.

B TERMS 27 in energy than jKk l. The extent of the mixing, and therefore the magnitude of the B term, is inversely proportional to the energy difference between states. Excitedstate mixing is usually more common because the energy difference between ground and excited states, WA 8 À WK 8, is normally larger. 15) for excited-state mixing, neglecting ground-state mixing, is given as X X B0 ¼ À(2=(mB jAj))Re 1=(WK À WJ )kJl jLz þ 2Sz jKk l al K=J,k  (kAa jmÀ1 jJl lkKk jmþ1 jAa l À kAa jmþ1 jJl lkKk jmÀ1 jAa l)  (3:42) In fact, if WJ 8 À WK 8 is small, we can have overlapping B terms of opposite sign which give the appearance of an A term.

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