Table 2. Fit parameters to the power series expressions of equation (19), obtained for various scattering functions, fitted over the range 0 < τ < 2.

Numbers are given to the significant digit without affecting the fit quality. All calculations are based on Hankel transforms, giving high-precision results for I(0) and R _G, and the zero-order coefficients are therefore fixed at A ₀ = 0 and B ₀ = 1. The largest deviation of the fit from the calculation is less than 0.03%, observed at τ = 2. The last column gives fit parameters to the power law expressions of equation (20), obtained for various scattering functions, fitted for τ > 100.

Function	10 × A 1	102 × A 2	103 × A 3	102 × B 1	103 × B 2	104 × B 3	C
Gaussian	2.5000	2.436	1.68	−6.2485	−4.977	1.79	−0.504
Sphere	2.5791	2.285	1.40	−5.2929	−4.437	0.91	−0.584
Lorentzian† (p = 1)	0.4708	0.234	0.20	−1.9610	−0.925	−0.65
Sabine (p = 1.1)	0.4167	0.159	0.09	−1.6924	−0.600	−0.24	−5.000
Sabine (p = 1.25)	0.8334	0.547	0.50	−3.2711	−1.989	−1.04	−2.001
Sabine (p = 1.5)	1.2500	1.062	1.11	−4.6867	−3.494	−2.07	−1.018
Sabine (p = 1.75)	1.4991	1.421	1.31	−5.4187	−4.259	−2.32	−0.730
DAB (p = 2)	1.6663	1.619	1.60	−5.8336	−4.756	−1.77	−0.627

^†Scattering power obtained using q _u R _G = 350.