Silicon wafers are used for production of most microchips. Various processes are needed to transfer a silicon ingot into wafers. With continuing shrinkage of feature sizes of microchips, more stringent requirement is imposed on wafer flatness. Fine grinding of silicon wafers is a patented technology to produce super flat wafers at a low cost. Six papers on fine grinding were previously published in this journal. The first paper discussed its uniqueness and special requirements. The second one presented the results of a designed experimental investigation. The third and fourth papers presented the mathematical models for the chuck shape and the grinding marks, respectively. The fifth paper developed a mathematical model for the wafer shape and the sixth paper studied machine configurations for spindle angle adjustments. This paper is a follow up of the above-mentioned work. A mathematical model to predict the depth of grinding marks for any chuck shape will be first developed. With the developed model, effects of the chuck shape (as well as the wheel radius) on the depth of grinding marks will be studied. Finally, results of pilot experiments to verify the model will be discussed.