I would like to power my Intel Edison with a LiFePO4 (including the A123 lithium nanophosphate® variety) cell or eventually multicell battery. According to Battery University http://batteryuniversity.com/learn/article/types_of_lithium_ion these lithium chemistries have certain advantages. However, they require different charge settings. Although this issue was briefly touched upon here Re: Battery Pack w Galileo and here Re: Solar Powered Edison concept - power considerations I want to clarify it one more time.
Am I right that due to the design of the TI BQ24074 BQ24074 | Battery Charger IC | Battery Management Products | Description & parametrics on the mini breakout board http://download.intel.com/support/edison/sb/mini_edison_breakout_hvm_8_26.pdf this is not possible and would require any of these BQ24074 | Battery Charger IC | Battery Management Products | Compare chips?
Perhaps more advanced users and/or Intel could help?
I'm not an expert on batteries but from what I checked in the links you pointed, you're right. The TI BQ24074 is not designed to charge LiFePO4 batteries and you should use one of the other chips available. However, since it is a TI product I suggest you to contact them and ask them this same question. They should give you a more accurate response.