The chronological order of the Mesopotamian Empires you provided is as follows:
- Sumerians (c. 4500 – 1900 BCE)
- Akkadian (c. 2334 – 2154 BCE)
- Babylonians (c. 1894 – 539 BCE, with various periods of dominance)
- Hittites (c. 1600 – 1178 BCE; while the Hittite Empire's center was not in Mesopotamia, they interacted significantly with Mesopotamian cultures)
- Persian (c. 550 – 330 BCE; the Persian Empire included parts of Mesopotamia after conquering Babylon)
Note that the dates are approximate and can vary based on different scholarly interpretations.