Table 2: Sets of parameters of fitted models. Meaning of numeric labels: 1 (fixed masses and $\Delta \nu$ , $\delta \nu$ as seismic constraints); 2 (as 1 but with variable masses); 3 (as 2 but using r₀₂(n) as seismic constraint); 4 (as 3 but including convective overshooting) and 5 (as 3 but using Asplund et al. 2005 instead of Grevese & Noels 1993). Meaning of alphabetic labels: nd (non diffusion models); f (FST convection treatment); e (CEFF EoS instead of OPAL01 one); c (a unique mixing-length parameter); ns (fit without seismic constraints); only for the case 1, t refers to effective temperature as constraint, and r to radius as constraint.
Model Conv Diff EoS fitting M/ ${M}_{\odot}$ $\epsilon$ $\alpha$ $\epsilon$ Age $\epsilon$ Y₀ $\epsilon$ Z₀ $\epsilon$

A1t
MLT Y OPAL $T_{\rm eff}$ , $M_{\rm fix}$ 1.105 1.99 0.11 7.0 0.5 0.273 0.016 0.0316 0.003

B1t MLT Y OPAL $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.934 2.22 0.07 7.0 0.5 0.273 0.016 0.0316 0.003

A1r MLT Y OPAL $M_{\rm fix}$ 1.105 2.00 0.11 6.8 0.5 0.276 0.015 0.0325 0.003

B1r MLT Y OPAL $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.934 2.24 0.07 6.8 0.5 0.276 0.015 0.0325 0.003

A1nd MLT N OPAL $M_{\rm fix}$ 1.105 1.84 0.10 7.1 0.6 0.265 0.015 0.0284 0.003

B1nd MLT N OPAL $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.934 1.99 0.05 7.1 0.6 0.265 0.015 0.0284 0.003

A1e MLT Y CEFF $M_{\rm fix}$ 1.105 1.93 0.10 6.7 0.6 0.281 0.015 0.0324 0.003

B1e MLT Y CEFF $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.934 2.08 0.06 6.7 0.6 0.281 0.015 0.0324 0.003

A1-3 MLT Y OPAL $M_{\rm fix}$ , 1.105 1.86 0.06 6.0 0.4 0.277 0.017 0.0302 0.003

B1-3 MLT Y OPAL r₀₂(n) 0.934 2.18 0.05 6.0 0.4 0.277 0.017 0.0302 0.003

A2 MLT Y OPAL $M_{\rm var}$ 1.104 0.006 1.96 0.11 6.4 0.6 0.282 0.016 0.0326 0.003

B2 MLT Y OPAL $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.926 0.005 2.11 0.10 6.4 0.6 0.282 0.016 0.0326 0.003

A2c MLT Y OPAL $M_{\rm var}$ $\alpha _{\rm A}=\alpha _{\rm B}$ 1.107 0.005 1.78 0.08 5.4 0.5 0.284 0.016 0.0305 0.003

B2c MLT Y OPAL $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.919 0.004 " " 5.4 0.5 0.284 0.016 0.0305 0.003

A2f FST Y OPAL $M_{\rm var}$ 1.105 0.006 0.77 0.05 6.4 0.6 0.282 0.016 0.0325 0.003

B2f FST Y OPAL $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ 0.927 0.005 0.89 0.05 6.4 0.6 0.282 0.016 0.0325 0.003

A3 MLT Y OPAL $M_{\rm var}$ 1.110 0.006 1.90 0.07 5.8 0.2 0.284 0.014 0.0322 0.003

B3 MLT Y OPAL r₀₂(n) 0.927 0.005 2.05 0.08 5.8 0.2 0.284 0.014 0.0322 0.003

A3c MLT Y OPAL $M_{\rm var}$ , $\alpha _{\rm A}=\alpha _{\rm B}$ 1.113 0.006 1.95 0.05 5.8 0.5 0.276 0.017 0.0317 0.003

B3c MLT Y OPAL r₀₂(n) 0.922 0.004 " " 5.8 0.5 0.276 0.017 0.0317 0.003

$\rm A3\alpha_{\odot}$ MLT Y OPAL $M_{\rm var}$ , $\alpha=\alpha_{\odot}$ 1.114 0.006 1.91 5.7 0.2 0.283 0.010 0.0314 0.002

$\rm B3\alpha_{\odot}$ MLT Y OPAL r₀₂(n) 0.921 0.004 " 5.7 0.2 0.283 0.010 0.0314 0.002

A3f FST Y OPAL $M_{\rm var}$ 1.110 0.006 0.74 0.03 5.8 0.2 0.285 0.015 0.0323 0.003

B3f FST Y OPAL r₀₂(n) 0.927 0.005 0.86 0.03 5.8 0.2 0.285 0.015 0.0323 0.003

A3nd MLT N OPAL $M_{\rm var}$ 1.108 0.006 1.84 0.07 6.3 0.4 0.270 0.015 0.0281 0.003

B3nd MLT N OPAL r₀₂(n) 0.929 0.005 1.99 0.07 6.3 0.4 0.270 0.015 0.0281 0.003

A3e MLT Y CEFF $M_{\rm var}$ 1.109 0.006 1.85 0.07 5.7 0.3 0.288 0.015 0.0322 0.003

B3e MLT Y CEFF r₀₂(n) 0.927 0.005 1.93 0.07 5.7 0.3 0.288 0.015 0.0322 0.003

A4
OV Y OPAL $M_{\rm var}$ 1.112 0.006 1.77 0.05 5.2 0.2 0.285 0.015 0.0299 0.003

B4 OV Y OPAL r₀₂(n) 0.925 0.005 1.98 0.07 5.2 0.2 0.285 0.015 0.0299 0.003

A5 MLT Y OPAL $M_{\rm var}$ , A04 mix 1.109 0.006 1.74 0.06 5.9 0.3 0.280 0.013 0.0239 0.002

B5 MLT Y OPAL r₀₂(n) 0.927 0.005 1.84 0.07 5.9 0.3 0.280 0.013 0.0239 0.002

Ans MLT Y OPAL $M_{\rm var}$ , 1.105 0.007 2.40 0.33 8.9 1.8 0.259 0.021 0.0340 0.003

Bns MLT Y OPAL No Seismo 0.934 0.006 2.61 0.31 8.9 1.8 0.259 0.021 0.0340 0.003

**Table 2:** Sets of parameters of fitted models. Meaning of numeric labels: 1 (fixed masses and $\Delta \nu$ , $\delta \nu$ as seismic constraints); 2 (as 1 but with variable masses); 3 (as 2 but using r₀₂(n) as seismic constraint); 4 (as 3 but including convective overshooting) and 5 (as 3 but using Asplund et al. 2005 instead of Grevese & Noels 1993). Meaning of alphabetic labels: nd (non diffusion models); f (FST convection treatment); e (CEFF EoS instead of OPAL01 one); c (a unique mixing-length parameter); ns (fit without seismic constraints); only for the case 1, t refers to effective temperature as constraint, and r to radius as constraint.
Model	Conv	Diff	EoS	fitting	M/ ${M}_{\odot}$	$\epsilon$	$\alpha$	$\epsilon$	Age	$\epsilon$	Y₀	$\epsilon$	Z₀	$\epsilon$
A1t	MLT	Y	OPAL	$T_{\rm eff}$ , $M_{\rm fix}$	1.105		1.99	0.11	7.0	0.5	0.273	0.016	0.0316	0.003
B1t	MLT	Y	OPAL	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.934		2.22	0.07	7.0	0.5	0.273	0.016	0.0316	0.003
A1r	MLT	Y	OPAL	$M_{\rm fix}$	1.105		2.00	0.11	6.8	0.5	0.276	0.015	0.0325	0.003
B1r	MLT	Y	OPAL	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.934		2.24	0.07	6.8	0.5	0.276	0.015	0.0325	0.003
A1nd	MLT	N	OPAL	$M_{\rm fix}$	1.105		1.84	0.10	7.1	0.6	0.265	0.015	0.0284	0.003
B1nd	MLT	N	OPAL	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.934		1.99	0.05	7.1	0.6	0.265	0.015	0.0284	0.003
A1e	MLT	Y	CEFF	$M_{\rm fix}$	1.105		1.93	0.10	6.7	0.6	0.281	0.015	0.0324	0.003
B1e	MLT	Y	CEFF	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.934		2.08	0.06	6.7	0.6	0.281	0.015	0.0324	0.003
A1-3	MLT	Y	OPAL	$M_{\rm fix}$ ,	1.105		1.86	0.06	6.0	0.4	0.277	0.017	0.0302	0.003
B1-3	MLT	Y	OPAL	r₀₂(n)	0.934		2.18	0.05	6.0	0.4	0.277	0.017	0.0302	0.003
A2	MLT	Y	OPAL	$M_{\rm var}$	1.104	0.006	1.96	0.11	6.4	0.6	0.282	0.016	0.0326	0.003
B2	MLT	Y	OPAL	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.926	0.005	2.11	0.10	6.4	0.6	0.282	0.016	0.0326	0.003
A2c	MLT	Y	OPAL	$M_{\rm var}$ $\alpha _{\rm A}=\alpha _{\rm B}$	1.107	0.005	1.78	0.08	5.4	0.5	0.284	0.016	0.0305	0.003
B2c	MLT	Y	OPAL	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.919	0.004	"	"	5.4	0.5	0.284	0.016	0.0305	0.003
A2f	FST	Y	OPAL	$M_{\rm var}$	1.105	0.006	0.77	0.05	6.4	0.6	0.282	0.016	0.0325	0.003
B2f	FST	Y	OPAL	$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$	0.927	0.005	0.89	0.05	6.4	0.6	0.282	0.016	0.0325	0.003
A3	MLT	Y	OPAL	$M_{\rm var}$	1.110	0.006	1.90	0.07	5.8	0.2	0.284	0.014	0.0322	0.003
B3	MLT	Y	OPAL	r₀₂(n)	0.927	0.005	2.05	0.08	5.8	0.2	0.284	0.014	0.0322	0.003
A3c	MLT	Y	OPAL	$M_{\rm var}$ , $\alpha _{\rm A}=\alpha _{\rm B}$	1.113	0.006	1.95	0.05	5.8	0.5	0.276	0.017	0.0317	0.003
B3c	MLT	Y	OPAL	r₀₂(n)	0.922	0.004	"	"	5.8	0.5	0.276	0.017	0.0317	0.003
$\rm A3\alpha_{\odot}$	MLT	Y	OPAL	$M_{\rm var}$ , $\alpha=\alpha_{\odot}$	1.114	0.006	1.91		5.7	0.2	0.283	0.010	0.0314	0.002
$\rm B3\alpha_{\odot}$	MLT	Y	OPAL	r₀₂(n)	0.921	0.004	"		5.7	0.2	0.283	0.010	0.0314	0.002
A3f	FST	Y	OPAL	$M_{\rm var}$	1.110	0.006	0.74	0.03	5.8	0.2	0.285	0.015	0.0323	0.003
B3f	FST	Y	OPAL	r₀₂(n)	0.927	0.005	0.86	0.03	5.8	0.2	0.285	0.015	0.0323	0.003
A3nd	MLT	N	OPAL	$M_{\rm var}$	1.108	0.006	1.84	0.07	6.3	0.4	0.270	0.015	0.0281	0.003
B3nd	MLT	N	OPAL	r₀₂(n)	0.929	0.005	1.99	0.07	6.3	0.4	0.270	0.015	0.0281	0.003
A3e	MLT	Y	CEFF	$M_{\rm var}$	1.109	0.006	1.85	0.07	5.7	0.3	0.288	0.015	0.0322	0.003
B3e	MLT	Y	CEFF	r₀₂(n)	0.927	0.005	1.93	0.07	5.7	0.3	0.288	0.015	0.0322	0.003
A4	OV	Y	OPAL	$M_{\rm var}$	1.112	0.006	1.77	0.05	5.2	0.2	0.285	0.015	0.0299	0.003
B4	OV	Y	OPAL	r₀₂(n)	0.925	0.005	1.98	0.07	5.2	0.2	0.285	0.015	0.0299	0.003
A5	MLT	Y	OPAL	$M_{\rm var}$ , A04 mix	1.109	0.006	1.74	0.06	5.9	0.3	0.280	0.013	0.0239	0.002
B5	MLT	Y	OPAL	r₀₂(n)	0.927	0.005	1.84	0.07	5.9	0.3	0.280	0.013	0.0239	0.002
Ans	MLT	Y	OPAL	$M_{\rm var}$ ,	1.105	0.007	2.40	0.33	8.9	1.8	0.259	0.021	0.0340	0.003
Bns	MLT	Y	OPAL	No Seismo	0.934	0.006	2.61	0.31	8.9	1.8	0.259	0.021	0.0340	0.003

Source LaTeX | All tables | In the text

	1 Introduction
	2 Calibration method
	3 The choice of the observational constraints
	4 Stellar models
	5 Results
	6 Summary and conclusions
	References