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This is the most contenscious part of the Atlantis debate. Plato's Timaeus and Kritias date the end of Atlantis to 9,000 years before his ancestor Solon's visit to Sais, in the Nile Delta [560 or 590 BC.]. The story, Plato [c.427-347 BC] said, was inscribed on a couple of pillars [obelisks?]. Half a century after Plato's death, his biographer, Krantor, found the story preserved as the philosopher had described.
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Sais was, at that time, the administrative heart of Egypt. The pharaonic Dynasty was the 26th. The ruler could've been any of these:-
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Necho II - 610 ? 595 BC
Psamtik II - 595 ? 589 BC
Wahibre - 589 ? 570 BC
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All were pro-Hellenic [ie pro-Greek] ruler. A previous king, Psammetichos I, had set up a school for interpreters [ref: J.V. Luce, The End of Atlantis, 1969 pg 35].
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There are three theories about Atlantis' dating:
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1) That Atlantis was destroyed 9,000 years before Plato, or Solon's visit to Egypt. If the former, then this was about 9400 BC. If the latter, then 9500-9600 BC. 
The American 'sleeping prophet', Edgar Cayce [1877-1945], claimed he had 'chanelled' answers to questions on Atlantis. He said a lamdbridge His date was c.10500 BC. 
Otto Muck, in The Secret of Atlantis [translated into English in 1976], argued for 8498 BC. He favoured the asteroid idea. And the Carolina Crater Bays and Caribbean"deep sea holes", he cited as evidence, have been dated to between 10,000 and 17,000 years ago [see the chapter 'Death of Atlantis'].
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2) That Atlantis was destroyed 900 years before Plato, or Solon's visit to Egypt.
The High Priest, at the Temple of Neith, was Psonchis. If the 'revisionists', like Luce and Professor Marinatos, are right, then the priest was using a Lunar Calendar; the Greeks a Solar one. Thus, a discrepancy was created. Which could reduce Plato's figure by a factor of ten.
If so, then Atlantis ''sunk'' 900 years before Solon's time. This gives a date of c.1490. Both men were pro-Theran in their theory of Atlantis. This disaster, a proto-Krakatoa in its form of eruption, has been dated to either c.1628 BC or c.1450 BC. It depends on whether you use carbon dating, dendro-chronology, ice-core samples, or pottery from Thera and Crete, as a 'benchmark'.
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The reduction by ten they also extended to Plato's dimensions for Atlantis. But, even with that, they could only make the Royal City squeeze onto Thera. The plain had to be relocated to Crete! The theory could've further fallen apart by the fact Plato doesn't mention volcanoes in his Dialogues. Yet Mayan reliefs show that Atlantis was indeed destroyed by its volcano in conjunction with an asteroid/comet:
Incidentally, the revisionist historian David Rohl dated the Israelite Exodus from Egypt to c.1447 BC.
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3) That Atlantis was destroyed in stages. This idea was detailed in W. Scott-Elliott's The Story of Atlantis [1894]. Plato himself opened his Timaeus speaks of several "great disasters by fire and water" befalling the Earth before the Atlantean catastrophe. He goes on - and here he was ahead of his time - to discuss
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"the deviation from their courses of the stars...that revolve around the Earth, and,after long periods of time, the destruction by fire and water of everything on Earth."
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[In his day people believe the Sun and planets orbitted the Earth]. He qualifies the intriguing idea by citing the legend of Phaeton as "truth". The youth stole the chariot of his father Helios, the Sun God, and lost control of it. To prevent the destruction of the Earth Zeus hurled a thunderbolt. The wayward chariot and Phaeton crashed into the Western Ocean. Here the Pleiades/Hesperides, the daughters of Atlas, live in a paradise below a huge mountain.
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Plato goes on to talk abou destruction by "violent earthquakes and floods". And uses the phrase "the heavens open on mankind". This is long before the famous Genesis "windows of heaven" pouring forth the Deluge upon the Earth.
BTW, in 1997 William Ryan and Walter Pitman [geologists from Columbia University], published evidence linking the Biblical Flood with the Black Sea Flood, which occured about 5600 BC. The meltwater from thawing ice-sheets had raised the sael level to such an extent that Britain was cut off from The Continent. More over the water breached the natural dams at the Straiits of Gibraltar and the Bosphorus:-
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Plato's Atlantis seems to be a civilization that bears the characteristics of the Bronze Age. Homer's Scheria [the Land of the Phaecians], however, falls later, in the Early Iron Age, as there are some iron tools and weapons. Michael Baigent, in Ancient Traces: Mysteries in Ancient and Early History, 1998 [pgs 117, 144-45] dates the Late Bronze Age to c.2000-c.1200 BC.
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In conclusion:- At its height Atlantis formed as Cayce and Scott-Elliott suggested, a 'landbridge' between America, Europe and Africa:
The break-up began 10,500/9600 BC, with the intial comet/asteroid impact. With further catastrophies [and sea-level rises], as Scott-Eliott and Plato argued, Atlantis fragmented into separate landmasses. Until there was a main island [Scott-Elliot and Cayce called it Poseidia] and a string of smaller islands in a 'chain' stretching into the Caribbean. The final destruction of Atlantis occured around 1250/1200 BC.
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Incidentally, if you date the end of Atlantis to 900 years before the death of Plato, you get 1247 BC. The traditional date for the Trojan War is 1250 BC. Homer said that, just after Troy fell a "wave" destroyed the Greek attackers defensive earthern wall. Around 1200 BC, Ramesses III defeated the Sea Peoples. This confederation comprised Libyans [North Africans], Danaans/Danoi [equated with Homer's Achaeans/Greeks and Irish myths Children of Danu], and peoples perhaps from Sicily, Palestine, and other places. The Danaans were Celtic/North European in appearance:-
This family tree, based on the Irish Book of Invasions, shows their descent from Noah:-
Footnote
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If Atlantis was to exist in the future...
