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Terbium is one of four, yes four, elements named after the same small village in Sweden: Terbium, Ytterbium, Yttrium, and Erbium. We're lucky they ran out of elements to discover or we would have ended up with Rbium or something.
Reader Eric Sprung sent the following information:There is a commercial use for it in the manufacture of Terfenol-D, a "giant magnetostrictive" smart material, which contains Terbium, Iron, and Dysprosium. Neat stuff, look it up! Now you know, and I now have a sample of this material, see below.
Other than that I don't know of any applications.
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 Lump.
This sample arrived with a full set of lanthanides at a time when I was missing europium, terbium, holmium, ytterbium, and of course lutetium.
This very kind donation from Max Whitby of The Red Green & Blue Company in England completed my element collection, to the extent that it gave me a plausible sample of every element one can plausibly have a sample of. (The Red Green & Blue Company is selling a periodic table collection containing similar samples of the same stuff, and if you want a ready-made collection of elements, that's the first place I would look.)
To learn more about the set you can visit my page about element collecting for a general description or the company's website which includes many photographs and pricing details. I have two photographs of each sample from the set: One taken by me and one from the company. You can see photographs of all the samples displayed in a periodic table format: my pictures or their pictures. Or you can see both side-by-side with bigger pictures in numerical order.
The picture on the left was taken by me. Here is the company's version (there is some variation between sets, so the pictures sometimes show different variations of the samples):

Source: Max Whitby of RGB
Contributor: Max Whitby of RGB
Acquired: 20 December, 2002
Price: Donated
Size: 0.5"
Purity: 99.54%
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Sample from the Everest Set.
Up until the early 1990's a company in Russia sold a periodic table collection with element samples. At some point their American distributor sold off the remaining stock to a man who is now selling them on eBay. The samples (except gasses) weigh about 0.25 grams each, and the whole set comes in a very nice wooden box with a printed periodic table in the lid.
To learn more about the set you can visit my page about element collecting for a general description and information about how to buy one, or you can see photographs of all the samples from the set displayed on my website in a periodic table layout or with bigger pictures in numerical order.
Source: Rob Accurso
Contributor: Rob Accurso
Acquired: 7 February, 2003
Price: Donated
Size: 0.2"
Purity: >99%
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Terfenol magnetostrictive alloy.
Terfenol is a material that changes shape in response to a magnetic field. It is used in a commercial product called a SoundBug, which turns any solid surface into a speaker (by vibrating it using a slug of terfenol, of course). We use a SoundBug to project sound out of the beautiful periodic table display that Max Whitby and I recently installed at DePauw University. Of course the SoundBug is mounted against the inside face of the terbium cube, so the sound appears to be coming from the general area of terbium.
These are a couple of spare slugs the SoundBug company sent us to include in the DePauw and future displays.
Source: Max Whitby of RGB
Contributor: Max Whitby of RGB
Acquired: 1 November, 2003
Price: Donated
Size: 0.75"
Purity: <50%
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Hollow cathode lamp.
Lamps like this are available for a very wide range of elements: Click the Sample Group link below to get a list of all the elements I have lamps like this for. They are used as light sources for atomic absorption spectrometers, which detect the presence of elements by seeing whether a sample absorbs the very specific wavelengths of light associated with the electronic transitions of the given element. The lamp uses an electric arc to stimulate the element it contains to emit its characteristic wavelengths of light: The same electronic transitions are responsible for emission and absorption, so the wavelengths are the same.
In theory, each different lamp should produce a different color of light characteristic of its element. Unfortunately, the lamps all use neon as a carrier gas: You generally have to have such a carrier gas present to maintain the electric arc. Neon emits a number of very strong orange-red lines that overwhelm the color of the specific element. In a spectrometer this is no problem because you just use a prism or diffraction grating to separate the light into a spectrum, then block out the neon lines. But it does mean that they all look pretty much the same color to the naked eye.
I've listed the price of all the lamps as $20, but that's really just a rough average: I paid varying amounts at various eBay auctions for these lamps, which list for a lot more from an instrument supplier.
(Truth in photography: These lamps all look alike. I have just duplicated a photo of one of them to use for all of them, because they really do look exactly the same regardless of what element is inside. The ones listed are all ones I actually have in the collection.)
Source: eBay seller heruur
Contributor: Theodore Gray
Acquired: 24 December, 2003
Price: $20
Size: 8"
Purity: 99.9%
Sample Group: Atomic Emission Lamps
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 Element coin.
Dave Hamric sells element samples under the name Metallium. He's developed a line of coins struck out of various common and uncommon metals: They are quite lovely, and very reasonably priced, considering the difficulty of creating some of them.
Here is the back side of this coin (click either picture to see it larger):
Click the Sample Group link below to see many other coins made of various elements, or click the link to his website above if you want to buy one like this.
Source: Dave Hamric
Contributor: Theodore Gray
Acquired: 30 September, 2007
Price: $28
Size: 0.75"
Purity: >99%
Sample Group: Coins
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 High purity crystal crust.
Comment from Ethan, the source of this lovely vacuum distilled terbium: "This is crystalline distilled terbium, from ~25 years ago, before China had taken over the rare earth industry. This would have been very expensive back then."
Source: Ethan Currens
Contributor: Ethan Currens
Acquired: 2 December, 2007
Price: Donated
Size: 1.25"
Purity: 99.99%
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