@staticmethod<EOL><INDENT>def Androulakis(self, T, full=True, quick=True):<DEDENT>
c1, c2, c3 = self.alpha_function_coeffs<EOL>T, Tc, a = self.T, self.Tc, self.a<EOL>a_alpha = a*(c1*(-(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) + <NUM_LIT:1>) + c2*(-(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) + <NUM_LIT:1>)**<NUM_LIT:2> + c3*(-(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) + <NUM_LIT:1>)**<NUM_LIT:3> + <NUM_LIT:1>)<EOL>if not full:<EOL><INDENT>return a_alpha<EOL><DEDENT>else:<EOL><INDENT>da_alpha_dT = a*(-<NUM_LIT:2>*c1*(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>)/(<NUM_LIT:3>*T) - <NUM_LIT:4>*c2*(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>)*(-(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) + <NUM_LIT:1>)/(<NUM_LIT:3>*T) - <NUM_LIT:2>*c3*(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>)*(-(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) + <NUM_LIT:1>)**<NUM_LIT:2>/T)<EOL>d2a_alpha_dT2 = a*(<NUM_LIT:2>*(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>)*(c1 + <NUM_LIT:4>*c2*(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) - <NUM_LIT:2>*c2*((T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) - <NUM_LIT:1>) - <NUM_LIT:12>*c3*(T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>)*((T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) - <NUM_LIT:1>) + <NUM_LIT:3>*c3*((T/Tc)**(<NUM_LIT:2>/<NUM_LIT:3>) - <NUM_LIT:1>)**<NUM_LIT:2>)/(<NUM_LIT:9>*T**<NUM_LIT:2>))<EOL>return a_alpha, da_alpha_dT, d2a_alpha_dT2<EOL><DEDENT>
r'''Method to calculate `a_alpha` and its first and second
        derivatives according to Androulakis et al. (1989) [1]_. Returns `a_alpha`, 
        `da_alpha_dT`, and `d2a_alpha_dT2`. See `GCEOS.a_alpha_and_derivatives`  
        for more documentation. Three coefficients needed.

        .. math::
            \alpha = c_{1} \left(- \left(\frac{T}{Tc}\right)^{\frac{2}{3}}
            + 1\right) + c_{2} \left(- \left(\frac{T}{Tc}\right)^{\frac{2}{3}} 
            + 1\right)^{2} + c_{3} \left(- \left(\frac{T}{Tc}\right)^{
            \frac{2}{3}} + 1\right)^{3} + 1

        References
        ----------
        .. [1] Androulakis, I. P., N. S. Kalospiros, and D. P. Tassios. 
           "Thermophysical Properties of Pure Polar and Nonpolar Compounds with
           a Modified VdW-711 Equation of State." Fluid Phase Equilibria 45, 
           no. 2 (April 1, 1989): 135-63. doi:10.1016/0378-3812(89)80254-7.