“…The radii differences in eq are defined as The subscripts i and e indicate the internal and external radiuses of the vibrating tube, respectively, and the subscript 0 refers to the vacuum. The calculation of r e and r i is done using , where P ref is the reference pressure; in this work, P ref = 0.0824 MPa was used, and the expression for the radius at vacuum is given by , where T ref is a reference temperature equal to 293.15 K, and the values for the reference radiuses at vacuum are r i 00 = 0.1073 cm and r e 00 = 0.1588 cm. The linear dilatation coefficient in eq is given by a cubic polynomial in temperature, In eq , ν is the Poisson’s coefficient, which is considered temperature-independent with a value equal to 0.307, and E is the Young’s modulus given by Then, the calibration parameters M 0 / L 0 , γ, and a i are obtained from a simultaneous correlation of eqs and to the experimental data of the oscillation period at vacuum and the oscillation period of water from 283.15 to 363.15 K and pressure up to 65 MPa.…”