History of ALH84001

Most of the arguments establishing the times at which various things happened to ALH84001 are not given in the Science article, but rather in earlier articles which are cited there. Unfortunately, I have not been able to track down these articles. Instead, I will give some educated guesses as to how the various numbers could be estimated, and references to the cited articles.

It formed from volcanic magma 4.5 billion years ago

This is probably gotten from the isotopic composition of the rock. Most elements occur as several different isotopes (same number of protons in the nucleus, but different numbers of neutrons). Some of the isotopes are unstable, decaying to produce other nuclei, and each decay happens at its own rate, with its own half-life. When the rock is molten, it is exchanging material with its surroundings and so has pretty much the same abundance of each isotope as the planet at large. When it solidifies, its material is locked in place, so as the unstable isotopes are depleted by natural radioactive decay, they cannot be replenished from the environment. By measuring the relative abundances of various isotopes in the rock, and knowing the half-lives of the radioactive decays that produce them, you can work backward to figure out how long the rock would have to have been solid in order for the isotope abundances to get to be what they are today. For dating of ALH84001, the references are E. Jagoutz et al., Meteoritics 29, 479 (1994) and L.E. Nyquist et al., Lunar Planet. Sci. 26, 1065 (1995).

It is unusual for a Martian meteorite to be this old; all the others are at most 1.3 billion years old. To be 4.5 billion years old -- the same age as the meteorites which come from the asteroids, as well as of the oldest rocks on the moon -- ALH84001 would have to be one of the original rocks which formed when Mars (and the other inner planets) first cooled enough to form a solid surface.

It was smashed by asteroid strikes 4.0 and 3.6 billion years ago

I have heard that these are fairly uncertain numbers, but the precise numbers are probably not as important as the order of magnitude. Presumably, the number 3.6 billion comes from isotope dating of the carbonate globules. It is likely (but again, probably not important) that the shocks were delivered by asteroid impacts, because asteroid impacts were very common in the solar system at that time. For example, that is the time that the major craters on the Moon were formed. For the estimate of the time of the first shock, the reference is R.D. Ash et al., Nature 380, 57 (1996). For the estimate of the time the carbonates formed, the reference is S.K. Knott et al., Lunar Planet. Sci. 26, 765 (1995).

Between these times, it was immersed in water charged with carbon dioxide

The evidence that ALH84001 was immersed in carbonated water is that this is how carbonate minerals form. On Earth, this is the process of "weathering" -- carbon dioxide from the atmosphere dissolves in rain water, and reacts (slowly) with the silicate rocks it falls on to form silicon dioxide and carbonate rocks. There is plenty of evidence that liquid water once flowed on Mars, although not later than perhaps 3 billion years ago. The Martian atmosphere is still mostly carbon dioxide; during ALH84001's youth the water would have had carbon dioxide dissolved in it. In order to produce the carbonate globules along the faults in the rock, the faults would have to exist first, and then the water would have to seep into the rock along them. Thus there must have been some shock that faulted the rock, and afterwards it must have been immersed in carbonated water. The fact that some of the carbonate globules are themselves broken along fault lines in the rock then means that there must have been at least one more major shock that happened after the globules formed. The reference is C.S. Romanek et al., Nature 372, 655 (1994).

It was blasted into space by a meteorite strike 16 million years ago

It had to be a meteorite impact that blasted ALH84001 off the surface of Mars, because no other natural event is known that can get a rock moving fast enough (5.4 km/s) to escape Mars's gravity. The fact that this happened 16 million years ago, or that the rock spent 16 million years in space, is based on cosmic ray exposure. Cosmic rays produce characteristic sorts of damage in the rock. By looking at how much of this damage there has been, you work out how long the rock was exposed to cosmic rays, i.e., how long it was wandering in space. The reference is D.D. Bogard, Lunar Planet. Si. 26, 143 (1995).

It landed in Antarctica 13,000 years ago

I suspect that this has to do with dating the ice under the meteorite, which you can do by examining the air that was trapped when it fell on Antarctica as snow. The reference is A.J.T Jull et al., Meteoritics 30, 311 (1995)