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Long range intermolecular interaction potential surface of CaF (2Σ+) was simulated by employing the MOLPRO program and using the RCCSD(T)/def2-TZVP theory.The predicted data were further fitted to obtain the collision crosssection.The elastic collision cross-section of CaF at the temperature around 2 mK is as high as 6.5 × 10-9 cm2 and the collision rate is over 4.1 × 106 Hz.Additionally,we found that an orientation electric field will simplify the intermolecular interaction potential function from quateary into teary and the collision cross-section will be raised by about three orders.All-optical evaporative cooling of cold CaF is discussed in the conclusion.