Q: How do you turn off the iPod on the iPhone. There is a stop button to pause play.
However, I do not see a button to stop playback.
A: With a solid-state device, there is absolutely no practical difference between a PAUSE button and a STOP button, which is why the iPod and iPhone do not include a STOP button.
The concept of a STOP button is a hold-over from the days of mechanical devices such as cassette players. On the iPhone, simply pausing iPod playback and exiting to the Home screen or pressing the Sleep/Wake button effectively turns off the iPod.