For the "golden flute" crowd.....

A very interesting (acoustical) observation !!

GOLD AND DIAMONDS, accouterments at many weddings, have another
curious affinity. They have almost the same acoustic impedance, a
fact which two physicists are hoping to exploit in order to get
nanoparticles, embedded in a crystalline network, to ring with a
pure tone, which in turn should help in the development of various
nanotechnology devices. The acoustic impedance, the acoustic
analogue of a material’s optical index of refraction, is defined as
the density times the velocity of sound in that material. Gold has
a high density but a moderate sound speed (3330 m/sec), while
diamond has a low density but a very high speed of sound; indeed, at
a speed of 18,190 m/sec, sound waves in diamond travel twice as fast
as the Space Shuttle in Earth orbit. Thus, these two materials are
very different in many respects but alike in their impedance to
sound, which is to say their propensity to take up or dissipate
sound energy. Now, one would expect that for two materials with
similar acoustic impedance sound would move all too easily from the
one to the other. (Optical analog: a piece of glass becomes almost
invisible in a bath of water since the indices of refraction for
glass and water are almost the same.) But the research turned this
expectation on its head. A gold nanoparticle, once set vibrating in
a diamond matrix, should actually keep vibrating, the new studies
show. In other words, the particle’s sound energy, the energy of
its vibrating in place, does not leak out into the surrounding
crystal. According to Lucien Saviot at the Universite de Bourgogne
(Dijon, France) and Daniel Murray of Okanagan University College
(Kelowna, British Columbia, Canada), the resolution of this apparent
paradox is that people had for many years been using the wrong
formula for acoustic impedance. The correct formula, they argue, is
more complicated. It’s not just density times speed of sound, but
involves also the radius of curvature of the interface and also the
sound frequency.
The authors of the new study have not yet implanted gold
nanoparticles inside diamonds but they have studied the case of how
gold particles ring while ensconced in silica and sapphire. Their
surprising result is that the particle keeps ringing. The particles
are set in motion by a pulse of laser light, shining in through the
crystal, and its ringing can also be monitored by laser light; the
vibrations show up as the amount of energy sapped from the probe
laser beam. (Saviot and Murray, Physical Review Letters, 30 July
2004; dbmurray@mail.silk.net;
lucien.saviot@u-bourgogne.fr)

That’s cool. I wonder what a practical use would be, information storage?

These guys have been doing phonon scattering of microparticles, viruses, etc, etc…this seems to be something they just stumbled across.

I’ll be very interested to see what their “corrected” formula looks like…it may just turn out to be a correction for the discreet particle nature of most things at very small (atomic) dimensions…but they refer to radius of curvature and frequency…so obviously I’d like to see what that implies at “normal” flute dimensions.

Nanoparticle applications would be high-Q resonators at those dimensions…that’s new and commercially VERY valuble…have your portable TV implanted somewhere inside your eyball…and …oh ya…dynamic memory type optical info storage…some decay time proportional to Q and temperature dependent

Ok…here’s the abstract…

Long Lived Acoustic Vibrational Modes of an Embedded Nanoparticle
Lucien Saviot1 and Daniel B. Murray2
1Laboratoire de Recherche sur la Réactivité des Solides, UMR 5613 CNRS-Université de Bourgogne, 9 avenue A. Savary, BP 47870 - 21078 Dijon, France
2Department of Physics and Astronomy, Okanagan University College, 3333 College Way, Kelowna, British Columbia, V1V 1V7 Canada

(Received 19 January 2004; published 30 July 2004)

Classical continuum elastic calculations show that the acoustic vibrational modes of an embedded nanoparticle can be lightly damped even when the longitudinal plane wave acoustic impedances Zo = vL of the nanoparticle and the matrix are the same. It is not necessary for the matrix to be less dense or softer than the nanoparticle in order to have long lived vibrational modes. A corrected formula for acoustic impedance is provided for the case of longitudinal spherical waves. Continuum boundary conditions do not always accurately reflect the microscopic nature of the interface between the nanoparticle and the matrix, and a multilayer model of the interface reveals the possibility of additional reduction of mode damping. ©2004 The American Physical Society

Nanoparticles! My day has come. :wink:

Don’t let it go to your hedron. :stuck_out_tongue:

djm

No worries. It’s very small, so the swelling shouldn’t be a hazard.

and don’t get your nanos in an uproar.

aaaaaaaaaaaaaaaaarrrrrrgh!

Glad to see the usual high-toned and serious interest in acoustics.

Well, Dan Murray shot off a copy of the paper in jig time (pun)

An interesting paper, the math was generally applicable, not just to nano(fill in favorite label here) They did a classical model to see what was up with these things. Aaand, they are correct, you can get a low dissipation mismatch (even though the “classical” impedances are the same) at frequencies they refer to as “pseudomodes”. The most interesting point was that these did not depend on the size of the particle. That is, given the appropriate conditions, they could exist at ordinary sizes and frequencies…just in unusual physical media (such as this list)

Sorry, Jack. I just couldn’t help myself, it being Thursday and all, and me in high spirits.

It is very interesting, and thank you for the information! I must say that I found it a bit boggling, and when I went on to consider the possibility of flutes made of cultured diamond, my poor brain just shut down, and the result is record.

There would be a serious response if you posted a serious thread. This is not a physics forum. If you can put the topic in terms a mere musician can understand (didn’t finish high school - joined a rock band instead), and explain the relevence I’m sure I would be very interested. :slight_smile:

Thx,

djm

Needless to say, the apeall of that news blurb was (and is) mainly its entertainment value. (like physics types trying to spell, play music, or complte an English sentance)

And besides, like all new discoveries, you never know when it might have application to playing a flute under water

Not at all…the whole thing was a “Thursday in the silly season” bit. Eddie just threw me a curve ball with a serious response (he just likes to get me going) I guess I’m old enough to sound stoggie no matter what I say. (or even older)

Ok, I’ll try and give it a shot. (this means I had to wade through this stuff a couple times to make sure I understood it…serves me right for opening a can of worms)

For the last 200 years or so, people have been using the density of a material times the speed of sound in that material as a measure of its acoustic impedance. Air has low density and a relatively slow sound speed…low impedance. The flute body (hardwood or metal) high density and higher sound speed…high impedance.

A big change in impedance means that sound going from one material to the other will reflect rather than go into the other material. Zero change and it goes right through like it wasn’t there. (that’s what was supposed to happen with gold in diamond) So when you make a flute body the sound carried by the air inside wants to just keep bouncing around in there. The smaller the chamber size the faster it can bounce and the higher the pitch we hear when it leaks out. (nutshell version)

All this works great and everybody’s been happy with it…but then people are always trying new material combinations.

These guys (Saviot and Murray) have been around for a while, looking for new ways to examine small stuff like viruses and nanoparticles, etc etc They had trouble doing this in air and liquid…things kept moving around.

Sooo…they started embedding them in materials like glass, TiO2 (titania) and are on the way to diamond. (diamond getting cheaper to grow by the minute these days) But things just didn’t seem to be adding up the way they should…the gold nanoparticles in TiO2 were resonating (ringing) for much longer than they should have…and what they wanted to do in diamond was make them acoustically dissapear (not show up like a sore thumb) by matching the impedences…or so they thought ?? Time to call up an expert.

Back they went to the glory days of physical acoustics as applied to musical instruments (the 19th century) and look up H. Lamb, Proceedings of the London Mathamatical Society, #13 p189 (1892)…ahh, them was the days…(No, I do not remember them well…I only look…and feel… that way)

Of course, today you take Lamb’s stuff and throw it onto a computer to do all the cranking…and since diamond and gold are well characterised materials and they were going to do it anyway…well…surprise !!!

The old boys realy knew their stuff…just ask Boehm…turns out there are not one but three conditions where you can get large impedance changes (and strong reflections) from one material to the next. Its just that virtually all of the time, density times sound speed is more than good enough, so it was always taken for granted. Gold and diamond, which should look exactly the same under the “rule of thumb” for impedance, are actually very different…(well they probably look exactly the same when its “air to gold” or its “air to diamond”…so don’t worry about upgrading that 24 carat gaspipe unless you want to save some weight)

Oww! At this point my head hurts…what does this buy us today or tommorrow at the flute store?

  1. Another look at wood, it’s really a nanocomposite. Its been studied to death but there’s always the outside chance that under the right (newly rediscovered) circumstances, the body of the flute might be shown to be able couple to the air inside and act somthing like a drone does on the pipes only intermittantly. Sort of like a “wolf note”. I’ll name this the “David Levine effect”

  2. New materials (??) …its a possibility that a material might be fabricated that matchs the impedance of air so well that we could fill the body of the flute with it and get rid of all that pesky swabbing swelling and cracking and…you get the idea

  3. New materials with rapidly varying impedance vs frequency (you might carry a set of stoppers, each of which would bend the resonances of your favorite flute to a different temperment)…actually this is somthing we do already in the optical end of things, so it might not be that far-fetched…


    Etc, etc,etc…these are all speculative…the point being that nature can jump up and give a wake up call anytime, even when we’ve been thinking about things for 200 yars’ or so.

Good man, yourself, Jack. I only wish I could say that I felt the smarter for your rewarding efforts. Life used to be so simple…now I will have to consider The Frieze Britches at the molecular-to-subatomic level as well. More pints, then!

I wonder if I could harness tachyons to correct mistakes as I make them.

I still like the “don’t let it go to your hedron” line the best ! (and it was fast)

Classic djm.

Bye the bye…I just got another shock to find that the generalized shape of some of those gold particles is…nano-hedronal ! (well, I’ll be a…)

Waitaminnit. I made that nick up all by myself, thinking it was sheer nonsense, and had no scientific or mathematical frame of reference.
Please, please tell me that you’re yanking my chain! I can’t bear to think that I’m real, after all.

You may be saved by the hyphanation…how’s that for an explanation.