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The CKM-matrix V is written as a linear combination of the unit matrix I and a matrix U which causes intergenerational-mixing. It is shown that such a V results from a class of quark-mass matrices. The matrix U has to be hermitian and unitary and therefore can depend at most on 4 real parameters. The available data on the CKM-matrix including CP-violation can be reproduced by V=(I+iU)/√(2). This is also true for the special case when U depends on only 2 real parameters. There is no CP-violatingdoi:10.1142/s0217751x01003603 fatcat:c6j2qm6zbbdk5cj5c4jimgabm4