Dispersion Forces (Colloid science) by J. Mahanty

By J. Mahanty

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The integral over n is an estimate of the sum for large I. DISPERSION FORCES FROM THE FIELD POINT OF VIEW 2. 37 The individual integrals diverge but their difference does not. To extract a meaningful result we can introduce a convergence factor e,-(K'+n>"" /l'2}i)' with O � O ultimately. j K + n 71' 2/ f in terms of which the above sum can be expressed. 4) as, f'S(8, n) n-O - 1'"S(8, n) d n = i[S'(8, n 0 30 � 24 = (0 ) [SII/(8, n - S'(8, n = (0 - ) S'(8, n) = n 2(7Ye-n'",,'82/12 S"'(8, n ) = (7Y{ 2 + 8 n Z (71';: ) + n 2e�:0 2 The limits for n ::: 00 and n = 0 are E ( l) :::: lead whose value is 0)] S"'(o, n = 0)] + · ' ' .

When the molecules are in a region where there are macroscopic bodies present, the structure of <§(R2, R1; wo) will be affected by bound­ ary effects. These may lead to substantial changes in the R -dependence of the resonance interaction. If the molecules are in wave guides, for is a considerable enhancement in the interaction (Mahanty and Ninham, 1973b). This sort of enhancement instance, in the retarded region there will have implications in resonance energy transfer in inhomogeneous systems.

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