Table 7: b) Line-strength indices used in this work as a function of the logarithm of age and metallicity using the models by V06. The last two columns express the required variation in metallicity with velocity dispersion to explain the slopes of the index-$\sigma $ relations, assuming that the slope is due to an exclusive variation of this parameter with the velocity dispersion.
    (LDEG) (HDEG)
Index   $\displaystyle\frac{\partial [{\rm M/H}]}{\partial\log\sigma}$ $\displaystyle\frac{\partial [{\rm M/H}]}{\partial\log\sigma}$
D4000' $-2.7672 + 0.3817\;$[M/H] $+0.3724\log$(age) 0.440 0.532
H$\delta_A'$ $+1.0737 - 0.1206\;$[M/H] $-0.1155\log$(age) 0.403 0.507
H$\delta_F'$ $+1.0202 - 0.0878\;$[M/H] $-0.1029\log$(age) 0.593 0.380
CN2 $-0.5655 + 0.1210\;$[M/H] $+0.0640\log$(age) 1.470 1.464
Ca4227' $-0.6957 + 0.0857\;$[M/H] $+0.0845\log$(age) 0.313 0.304
G4300' $-0.4797 + 0.0651\;$[M/H] $+0.0669\log$(age) 0.267 0.504
H$\gamma_A'$ $+0.9424 - 0.0993\;$[M/H] $-0.1092\log$(age) 0.565 0.554
H$\gamma_F'$ $+1.3029 - 0.1080\;$[M/H] $-0.1388\log$(age) 0.900 0.738
Fe4383' $-0.4544 + 0.0907\;$[M/H] $+0.0583\log$(age) 0.290 0.363
Ca4455' $-0.1952 + 0.0509\;$[M/H] $+0.0282\log$(age) 0.479 0.350
Fe4531' $-0.1611 + 0.0374\;$[M/H] $+0.0252\log$(age) 0.406 0.524
C4668' $-0.1022 + 0.0734\;$[M/H] $+0.0171\log$(age) 0.742 0.911
H$\beta'$ $+0.5974 - 0.0240\;$[M/H] $-0.0538\log$(age) 1.271 0.487
Fe5015' $-0.0133 + 0.0374\;$[M/H] $+0.0097\log$(age) 0.342 0.551
Mgb' $-0.4036 + 0.0775\;$[M/H] $+0.0545\log$(age) 1.289 1.174
Fe5270' $-0.1415 + 0.0414\;$[M/H] $+0.0229\log$(age) 0.391 0.579
Fe5335' $-0.1561 + 0.0472\;$[M/H] $+0.0236\log$(age) 0.432 0.739


Source LaTeX | All tables | In the text