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Hamaker summation method is used to approach the tip-surface interactions for rutile TiO 2 surface with Si-tip in non-contact AFM. The calculated results show that the Hamaker summation method gives tip-surface force the periodical nature with the peak at O 2- positions at the tip-surface distance of about 1.5A, and abruptly at Ti 4+ and O 2- ion positions...
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