| Parameters . | Initial ranges . | Crude steps . | Fine steps . | Optimal valuesa . | Optimal valuesb . |
|---|---|---|---|---|---|
| M*/M⊙ | [0.500, 0.850] | 0.010 | 0.005 | 0.760 ± 0.005 | 0.690 ± 0.005 |
| Teff(K) | [10 600, 12 600] | 250 | 10 | 12110 ± 10 | 12370 ± 10 |
| log(Menv/M*) | [1.50, 2.00, 3.00] | 0.50/1.00 | 0.01 | 2.00 ± 0.02 | 3.00 ± 0.01 |
| log(MHe/M*) | [2.00, 5.00] | 1.00 | 0.01 | 5.01 ± 0.04 | 4.99 ± 0.01 |
| log(MH/M*) | [4.00, 10.00] | 1.00 | 0.01 | 9.98 ± 0.02 | 7.00 ± 0.01 |
| XHe in mixed C/He/H region | [0.10, 0.90] | 0.16 | 0.01 | 0.25 ± 0.01 | 0.56 ± 0.01 |
| XO in the core | |||||
| h1 | [0.60, 0.75] | 0.03 | 0.01 | 0.73 ± 0.01 | 0.66 ± 0.01 |
| h2 | [0.65, 0.71] | 0.03 | 0.01 | 0.66 ± 0.01 | 0.71 ± 0.01 |
| h3 | 0.85 | – | 0.01 | 0.81 ± 0.03 | 0.85 ± 0.01 |
| w1 | [0.32, 0.38] | 0.03 | 0.01 | 0.35 ± 0.01 | 0.37 ± 0.01 |
| w2 | [0.42, 0.48] | 0.03 | 0.01 | 0.45 ± 0.01 | 0.46 ± 0.01 |
| w3 | 0.09 | – | 0.01 | 0.09 ± 0.01 | 0.12 ± 0.01 |
| Parameters . | Initial ranges . | Crude steps . | Fine steps . | Optimal valuesa . | Optimal valuesb . |
|---|---|---|---|---|---|
| M*/M⊙ | [0.500, 0.850] | 0.010 | 0.005 | 0.760 ± 0.005 | 0.690 ± 0.005 |
| Teff(K) | [10 600, 12 600] | 250 | 10 | 12110 ± 10 | 12370 ± 10 |
| log(Menv/M*) | [1.50, 2.00, 3.00] | 0.50/1.00 | 0.01 | 2.00 ± 0.02 | 3.00 ± 0.01 |
| log(MHe/M*) | [2.00, 5.00] | 1.00 | 0.01 | 5.01 ± 0.04 | 4.99 ± 0.01 |
| log(MH/M*) | [4.00, 10.00] | 1.00 | 0.01 | 9.98 ± 0.02 | 7.00 ± 0.01 |
| XHe in mixed C/He/H region | [0.10, 0.90] | 0.16 | 0.01 | 0.25 ± 0.01 | 0.56 ± 0.01 |
| XO in the core | |||||
| h1 | [0.60, 0.75] | 0.03 | 0.01 | 0.73 ± 0.01 | 0.66 ± 0.01 |
| h2 | [0.65, 0.71] | 0.03 | 0.01 | 0.66 ± 0.01 | 0.71 ± 0.01 |
| h3 | 0.85 | – | 0.01 | 0.81 ± 0.03 | 0.85 ± 0.01 |
| w1 | [0.32, 0.38] | 0.03 | 0.01 | 0.35 ± 0.01 | 0.37 ± 0.01 |
| w2 | [0.42, 0.48] | 0.03 | 0.01 | 0.45 ± 0.01 | 0.46 ± 0.01 |
| w3 | 0.09 | – | 0.01 | 0.09 ± 0.01 | 0.12 ± 0.01 |
Notes. M* denotes the stellar mass, while Menv is the envelop mass. MH is the mass of hydrogen atmosphere, and MHe is the mass of He layer. XHe is the He abundance in the mixed C/He/H region, and XO is the O abundance in the core. The parameter h1 refers to the O abundance in the core centre, while w1 is the mass fraction of XO = h1. Parameters h2 and h3 are O abundance of two knee points on the reducing O profile. The w2 and w3 refer to the masses of the gradient regions of O profile.
Adopted solution.
Additional solution found by freeing the value of l.
| Parameters . | Initial ranges . | Crude steps . | Fine steps . | Optimal valuesa . | Optimal valuesb . |
|---|---|---|---|---|---|
| M*/M⊙ | [0.500, 0.850] | 0.010 | 0.005 | 0.760 ± 0.005 | 0.690 ± 0.005 |
| Teff(K) | [10 600, 12 600] | 250 | 10 | 12110 ± 10 | 12370 ± 10 |
| log(Menv/M*) | [1.50, 2.00, 3.00] | 0.50/1.00 | 0.01 | 2.00 ± 0.02 | 3.00 ± 0.01 |
| log(MHe/M*) | [2.00, 5.00] | 1.00 | 0.01 | 5.01 ± 0.04 | 4.99 ± 0.01 |
| log(MH/M*) | [4.00, 10.00] | 1.00 | 0.01 | 9.98 ± 0.02 | 7.00 ± 0.01 |
| XHe in mixed C/He/H region | [0.10, 0.90] | 0.16 | 0.01 | 0.25 ± 0.01 | 0.56 ± 0.01 |
| XO in the core | |||||
| h1 | [0.60, 0.75] | 0.03 | 0.01 | 0.73 ± 0.01 | 0.66 ± 0.01 |
| h2 | [0.65, 0.71] | 0.03 | 0.01 | 0.66 ± 0.01 | 0.71 ± 0.01 |
| h3 | 0.85 | – | 0.01 | 0.81 ± 0.03 | 0.85 ± 0.01 |
| w1 | [0.32, 0.38] | 0.03 | 0.01 | 0.35 ± 0.01 | 0.37 ± 0.01 |
| w2 | [0.42, 0.48] | 0.03 | 0.01 | 0.45 ± 0.01 | 0.46 ± 0.01 |
| w3 | 0.09 | – | 0.01 | 0.09 ± 0.01 | 0.12 ± 0.01 |
| Parameters . | Initial ranges . | Crude steps . | Fine steps . | Optimal valuesa . | Optimal valuesb . |
|---|---|---|---|---|---|
| M*/M⊙ | [0.500, 0.850] | 0.010 | 0.005 | 0.760 ± 0.005 | 0.690 ± 0.005 |
| Teff(K) | [10 600, 12 600] | 250 | 10 | 12110 ± 10 | 12370 ± 10 |
| log(Menv/M*) | [1.50, 2.00, 3.00] | 0.50/1.00 | 0.01 | 2.00 ± 0.02 | 3.00 ± 0.01 |
| log(MHe/M*) | [2.00, 5.00] | 1.00 | 0.01 | 5.01 ± 0.04 | 4.99 ± 0.01 |
| log(MH/M*) | [4.00, 10.00] | 1.00 | 0.01 | 9.98 ± 0.02 | 7.00 ± 0.01 |
| XHe in mixed C/He/H region | [0.10, 0.90] | 0.16 | 0.01 | 0.25 ± 0.01 | 0.56 ± 0.01 |
| XO in the core | |||||
| h1 | [0.60, 0.75] | 0.03 | 0.01 | 0.73 ± 0.01 | 0.66 ± 0.01 |
| h2 | [0.65, 0.71] | 0.03 | 0.01 | 0.66 ± 0.01 | 0.71 ± 0.01 |
| h3 | 0.85 | – | 0.01 | 0.81 ± 0.03 | 0.85 ± 0.01 |
| w1 | [0.32, 0.38] | 0.03 | 0.01 | 0.35 ± 0.01 | 0.37 ± 0.01 |
| w2 | [0.42, 0.48] | 0.03 | 0.01 | 0.45 ± 0.01 | 0.46 ± 0.01 |
| w3 | 0.09 | – | 0.01 | 0.09 ± 0.01 | 0.12 ± 0.01 |
Notes. M* denotes the stellar mass, while Menv is the envelop mass. MH is the mass of hydrogen atmosphere, and MHe is the mass of He layer. XHe is the He abundance in the mixed C/He/H region, and XO is the O abundance in the core. The parameter h1 refers to the O abundance in the core centre, while w1 is the mass fraction of XO = h1. Parameters h2 and h3 are O abundance of two knee points on the reducing O profile. The w2 and w3 refer to the masses of the gradient regions of O profile.
Adopted solution.
Additional solution found by freeing the value of l.
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