Precise Evaluation of Zero-CTE Temperature of Ultra-Low-Expansion Glass Using the Line-Focus-Beam Ultrasonic Material Characterization System

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Zero-CTE temperatures, temperatures at which coefficients of thermal expansion (CTE) become zero, T(zero-CTE), of TiO_2-SiO_2 ultra-low-expansion glasses depend not only on the TiO_2 concentrations C (TiO_2) but also on the fictive temperatures T_f and the OH concentrations C (OH). Calibration lines, viz., interrelationships among T (zero-CTE), C (TiO_2), T_f, C (OH), and acoustic properties (leaky surface acoustic wave velocity, longitudinal velocity, shear velocity, and density), were obtained to evaluate T (zero-CTE) of TiO_2-SiO_2 ultra-low-expansion glasses by the line-focus-beam ultrasonic material characterization system.