Table 2: Models with variable ¹²C abundance. In the table, "L'' stands for the Ledoux criterion, while "S'' stands for the Schwarzschild criterion; "C'' denotes collapse and "E'' disruption. For carbon abundances over 2%, all realistic models imply the complete disruption of the star. The case with a 4% abundance of carbon, and with the convection artificially inhibited (marked by an asterisk) corresponds to an off-center explosion.
X(¹²C) Convection $T_{\rm max}(^{12}$ C) $\rho_{\rm ign}$ (NeO) Outcome

criterion (10⁸ K) (10⁹ g cm^-3)

0.01 L 5.645 9.671 C

S 5.895 18.643 C

- 4.242 9.663 C

0.02 L 20.00 0.537 E

S 20.00 0.537 E

- 6.901 9.653 C

0.03 L 20.00 0.450 E

S 20.00 0.448 E

- 9.084 9.686 C

0.04 L 20.00 0.365 E

S 20.00 0.363 E

- 11.22 1.200 $^\star$ E

0.05 L 20.00 0.366 E

S 20.00 0.365 E

- 20.00 1.165 E

0.06 L 20.00 0.308 E

S 20.00 0.307 E

- 20.00 1.108 E

**Table 2:** Models with variable ¹²C abundance. In the table, "L'' stands for the Ledoux criterion, while "S'' stands for the Schwarzschild criterion; "C'' denotes collapse and "E'' disruption. For carbon abundances over 2%, all realistic models imply the complete disruption of the star. The case with a 4% abundance of carbon, and with the convection artificially inhibited (marked by an asterisk) corresponds to an off-center explosion.
X(¹²C)	Convection	$T_{\rm max}(^{12}$ C)	$\rho_{\rm ign}$ (NeO)	Outcome
	criterion	(10⁸ K)	(10⁹ g cm^-3)
0.01	L	5.645	9.671	C
	S	5.895	18.643	C
	-	4.242	9.663	C
0.02	L	20.00	0.537	E
	S	20.00	0.537	E
	-	6.901	9.653	C
0.03	L	20.00	0.450	E
	S	20.00	0.448	E
	-	9.084	9.686	C
0.04	L	20.00	0.365	E
	S	20.00	0.363	E
	-	11.22	1.200 $^\star$	E
0.05	L	20.00	0.366	E
	S	20.00	0.365	E
	-	20.00	1.165	E
0.06	L	20.00	0.308	E
	S	20.00	0.307	E
	-	20.00	1.108	E

Source LaTeX | All tables | In the text

	1 Introduction
	2 Input physics and initial model
	3 The effects of the abundance of ²⁴Mg
	4 Explosions induced by ¹²C
	5 Effects of the Urca pairs ²³Na-²³Ne and ²⁵Mg-²⁵Na
	6 Conclusions
	References