I used the alarm that came with the iPhone 4s, and then bought the Alarm Clock Rio in the Apps Store. Neither is working if the phone is off, only if the phone is on. I have always used my smartphone as my alarm clock. I set the alarm. Turn off the phone. And the phone wakes me at the right time. This has yet to happen with the iPhone 4s. It only seems to work if the phone is already powered on. Can someone help me with this? It makes no sense to keep the phone on all night and waste the battery. I want it off and the alarm to wake me. Thanks.