In order to simplify the calculation of the total electric resistance of a binary particle system of two dimensional f·c·c (face centered cubic) structure, we propose a conventional method of transforming a lattice from the f·c·c to the square. This transformation is practiced by the following procedure.
At first, an original f·c·c particle system whose total electric resistance should be calculated is rotated in an angle π/4 as shown in Fig. 1(a), (b). Then, with the addition of four triangles to the slant f·c·c system of Fig. 1(b), it is possible to complete the system of Fig. 1(c) whereby the total electric resistance may be easily calculated.
The results obtained are summarized as follows;
(1) The calculation of the total electric resistance of a f·c·c system can be symplified by using the method of transformation described above.
(2) The edge effect of the mixing zone of a f·c·c structure is greater than that of the two dimensional square system.
(3) There is a high correlation (correlation coefficient<0.94) between the total electric resistance of the system PQRS and the standard deviation of mixing of the system ABCD (Fig. 1(c)).
