Normally a TI in the range of 400~700 ms. is used for „normal‟ T1 weighted studies (good anatomy visualisation). but you should consider STIR and FLAIR sequences based on your study.
*TI of 160 ms(1.5 Tesla system)->effective way of suppressing signal from fat tissue.
I agree with Willy Gsell as for T2, but I'd not waste time to acquire IR's with so long TI.
The most significant part of the curve is around the nulling point, that happens at TI = ln(2)*T1 (around 0.7*T1), so I'd start with a short TI and stop earlier then at 5*T1.
The signal equation is too steep at very low TI and too flat at very long TI.
1. For measuring T1, when using MRI (rather than spectroscopy), a spoiled gradient echo sequence (ie FLASH) done with different flip angles (eg 20 and 40 degrees) is more accurate than either inversion recovery with different inversion times or a saturation recovery spin echo with different TR's.
2. For measuring T2, use a multi echo conventional spin echo with 4 to to 8 echoes (preferably with non slice selective 180 refocusing pulses)
In both cases use a single slice to avoid cross talk or off resonance effects.
Remember that the slice profile of an MRI slice varies somewhat with flip angle (particularly at higher flip angles), which affects measurement accuracy.
for T1 if I want to use FLASH what equation I have to use to fit the data, because i try to use inversion recovery with different inversion times but it didn't give a good results and what are the range of flip angles do yo suggest,
You can find an online T1 value calculator using variable flip angle (VFA) FLASH at mritoolbox.com (in the parameter fitting section - use drop down menu).
10 to 50 degree flip angles are good. At higher flip angles the slice profile deteriorates (ie, the flip angle is not uniform across the slice thickness)