Spring constants and damping coefficients of a thin lubricant bridge of a perfluoropolyether (PFPE) lubricant intervening between a diamond probe tip and a diamond-like carbon (DLC) surface of a magnetic disk are identified through regression analysis of tip damping vibration. PFPE lubricants with functional end groups were used to form a lubricant bridge between the DLC surface and a probe tip with a notably small curvature radius of $0.1μm$. The tip was both retracted from and extended toward the disk surface at four different progressive distances to attain varied elongation of the bridge. It was also vibrated at each step to provide damping waveforms. By applying regression analysis to the observed waveforms, the spring constant and the damping coefficient of the lubricant bridge were identified within an elongation range from $50nm$ to $800nm$. Spring constant of the lubricant bridge $kb$ had a negative value varying from $−0.15N∕m$ to $−0.1N∕m$. The damping value expressed in the form of frequency-multiplied damping $cb×ω$ ranged from $0.02N∕m$ to $0.06N∕m$. Note that both the absolute value of spring constant $∣kb∣$ and frequency-multiplied damping $cb×ω$ exhibited U-shaped variation with lubricant bridge elongation; that is, those values decrease with bridge elongation and they begin to increase after reaching the minimum. The variation in the spring constant was found to be in good accordance with the quasi-static stiffness of the lubricant bridge, and variation in the damping coefficient was explained by energy loss arising in the vibrating lubricant bridge.

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