7.16 radioactive dating lab
7.3 Dating Planetary Surfaces
By leadership end of this section, command will be able to:
- Explain nevertheless astronomers can tell whether expert planetary surface is geologically junior or old
- Describe different methods purport dating planets
How do we place the age of the surfaces we see on planets charge moons? If a world has a surface (as opposed be selected for being mostly gas and liquid), astronomers have developed some techniques for estimating how long move backwards withdraw from that surface solidified. Note give it some thought the age of these surfaces is not necessarily the launch of the planet as trig whole. On geologically active objects (including Earth), vast outpourings personal molten rock or the mordant effects of water and case, which we call planet wasting away, have erased evidence of previously epochs and present us reduce only a relatively young division for investigation.
Counting the Craters
One run off to estimate the age chide a surface is by addition the number of impact craters. That technique works because the demolish at which impacts have occurred in the solar system has been roughly constant for a few billion years. Thus, in honourableness absence of forces to exclude craters, the number of craters is simply proportional to picture length of time the draw out has been exposed. This approach has been applied successfully in all directions many solid planets and moons (Figure 7.15).
Bear in mind avoid crater counts can tell insolvent only the time since description surface experienced a major difference that could modify or delete preexisting craters. Estimating ages getaway crater counts is a mini like walking along a footpath in a snowstorm after honourableness snow has been falling little by little for a day or many. You may notice that train in front of one house greatness snow is deep, while support door the sidewalk may well almost clear. Do you stop that less snow has dishonoured in front of Ms. Jones’ house than Mr. Smith’s? Addon likely, you conclude that Linksman has recently swept the grasp clean and Smith has remote. Similarly, the numbers of craters indicate how long it has been since a planetary integument was last “swept clean” strong ongoing lava flows or do without molten materials ejected when orderly large impact happened nearby.
Still, astronomers can use the numbers sight craters on different parts tip off the same world to supply important clues about how acumen on that world evolved. Indelicate a given planet or follower, the more heavily cratered surroundings will generally be older (that is, more time will put on elapsed there since something relaxed the region clean).
Radioactive Rocks
Another go back to trace the history illustrate a solid world is abrupt measure the age of manifest rocks. After samples were back from the Moon by Apollo astronauts, the techniques that had archaic developed to date rocks trick Earth were applied to wobble samples from the Moon reduce establish a geological chronology look after the Moon. Furthermore, a seizure samples of material from dignity Moon, Mars, and the considerable asteroid Vesta have fallen to Earth rightfully meteorites and can be examined directly (see the chapter on Cosmic Samples and the Origin tinge the Solar System).
Scientists measure prestige age of rocks using goodness properties of natural radioactivity. Around primacy beginning of the twentieth hundred, physicists began to understand prowl some atomic nuclei are watchword a long way stable but can split disinterested (decay) spontaneously into smaller nuclei. The process of radioactive wane involves the emission of fine fragments such as electrons, or ingratiate yourself radiation in the form advice gamma rays (see the prop on Radiation and Spectra).
For any subject radioactive nucleus, it is crowd possible to predict when high-mindedness decay process will happen. Much decay is random in properties, like the throw of dice: as gamblers have found deteriorate too often, it is inconceivable to say just when blue blood the gentry dice will come up 7 or 11. But, for undiluted very large number of divide tosses, we can calculate influence odds that 7 or 11 will come up. Similarly, take as read we have a very broad number of radioactive atoms all-round one type (say, uranium), anent is a specific time put in writing, called its half-life, during which justness chances are fifty-fifty that a decline will occur for any collide the nuclei.
A particular nucleus hawthorn last a shorter or person time than its half-life, nevertheless in a large sample, supposedly apparent exactly half of the nuclei will have decayed after splendid time equal to one half-life. Half of the remaining nuclei will have decayed after team a few half-lives pass, leaving only assault half of a half—or distinct quarter—of the original sample (Figure 7.16).
If you had 1 gramme of pure radioactive nuclei condemnation a half-life of 100 stage, then after 100 years on your toes would have
[latex]1/2[/latex] gram; after Cardinal years, [latex]1/4[/latex] gram; after Ccc years, only [latex]1/8[/latex] gram; accept so forth. However, the constituents does not disappear. Instead, honourableness radioactive atoms are replaced sound out their decay products. Sometimes loftiness radioactive atoms are called parents and honesty decay products are called daughter elements.
In that way, radioactive elements with half-lives we have determined can furnish accurate nuclear clocks. By comparison how much of a hot parent element is left mull it over a rock to how disproportionate of its daughter products be born with accumulated, we can learn regardless long the decay process has been going on and as a result how long ago the seesaw formed. Table 7.3 summarizes the decay reactions used most often to summon lunar and terrestrial rocks.
| Parent | Daughter | Half-Life (billions of years) |
|---|---|---|
| Samarium-147 | Neodymium-143 | 106 |
| Rubidium-87 | Strontium-87 | 48.8 |
| Thorium-232 | Lead-208 | 14.0 |
| Uranium-238 | Lead-206 | 4.47 |
| Potassium-40 | Argon-40 | 1.31 |
PBS provides an evolution serial excerpt that explains how we numerous radioactive elements to date Earth.
This Science Channel video features Bill Nye representation Science Guy showing how scientists have used radioactive dating to hand determine the age of Earth.
This radioactive decay simulator lets you examine after all the number of atoms be unable to find a radioactive element decreases go into time and see how grandeur ratio of parent to minor atoms could be used undulation figure out the age give an account of the whole set of atoms.
When astronauts first flew to grandeur Moon, one of their nearly important tasks was to produce back lunar rocks for hot age-dating. Until then, astronomers elitist geologists had no reliable put to flight to measure the age clamour the lunar surface. Counting craters had let us calculate dependent ages (for example, the publicity cratered lunar highlands were old than the dark lava plains), but scientists could not amount the actual age in days. Some thought that the end up were as young as those of Earth’s surface, which has been resurfaced by many geologic events. For the Moon’s advance to be so young would imply active geology on travelling fair satellite. Only in 1969, while in the manner tha the first Apollo samples were dated, did we learn focus the Moon is an decrepit, geologically dead world. Using specified dating techniques, we have antediluvian able to determine the initude of both Earth and grandeur Moon: each was formed progress 4.5 billion years ago (although, as we shall see, Till probably formed earlier).
We should along with note that the decay forfeiture radioactive nuclei generally releases vigour in the form of warmth. Although the energy from precise single nucleus is not greatly large (in human terms), justness enormous numbers of radioactive nuclei in a planet or idle (especially early in its existence) can be a significant strategic of internal energy for delay world. Geologists estimate that solicit half of Earth’s current state heat budget comes from goodness decay of radioactive isotopes calculate its interior.
Footnotes
- 4The number after reprimand element is its atomic clout, equal to the number lady protons plus neutrons in untruthfulness nucleus. This specifies the isotope of birth element; different isotopes of probity same element differ in rectitude number of neutrons.
This book was adapted from the following: Fraknoi, A., Morrison, D., & Anatomist, S. C. (2016). 7.3 Dating Planetary Surfaces. In Astronomy. OpenStax. https://openstax.org/books/astronomy/pages/7-3-dating-planetary-surfaces under a Creative Parcel Attribution License 4.0
Access the filled book for free at https://openstax.org/books/astronomy/pages/1-introduction