Fun Size Science

Let’s face it: size matters. 

As a fairly oversized human, I live a very different life from my smaller friends. I hit my head on lots of things. I get picked first when we play basketball. I often get asked, “how’s the weather up there?” I never have trouble grabbing things off the top shelf. When it comes to fitting into tight places, I often turn to one of my more fun-sized friends for assistance. 

Molecules, like people, come in all shapes and sizes!

Size changes everything. That’s why nanoscale materials are all the rage in science nowadays. Materials with dimensions on the nanoscale have uniquely high surface-to-body ratios, giving them all kinds of unique and wacky properties. Even more interestingly, such materials can interact with light in interesting ways, since the wavelength of visible and UV light also lies in the nanoscale. Much of modern materials science involves some sort of nanoscale work, where the mysterious behaviors of very tiny materials are unraveled bit by bit. 

Just for fun, I thought we’d explore exactly how small these nanomaterials are. Let’s take a trip down unit lane! 

Let’s start on the meter scale and work our way down. The average person’s height lies on the order of 1-2 meters. You may be on the higher or lower end of that spectrum, but, hopefully, your height still lies somewhere in the meter range (otherwise you should probably consult a doctor). 

Let's Jump Down 100 Steps...

You’ve probably heard of centimeters and millimeters as well. Centimeters represent one hundredth of a meter, and can be used to effectively measure the height of most fruits. Your average banana is about eighteen centimeters. Banana for scale. 

Millimeters are 1/10th the size of a centimeter – that means there’s one thousand millimeters in one meter.  A single banana averages about 180 millimeters! Millimeters are useful for measuring most garden variety bugs and creepy crawlies. Incidentally, the smallest millipedes clock in around 2 mm. 

The Micro Scale

Far below the length of your garden variety millipede lies the micrometer, or micron. This unit of measurement is 1000x smaller than the millimeter, or 10-6 meters. A single strand of the luscious locks on top of your head is a few hundred micrometers thick. A single human skin cell can run on the order of about 30 microns. 

A cell is about 30 microns wide.

The Nanoscale

Jump down another three orders of magnitude, and we’ve finally made it to the nanoscale. One nanometer corresponds to one billionth of a meter, or 10-9 meters. On this length scale, mechanical, thermal, chemical, and electrical energies overlap, leading to interesting trans-energetic effects [1]. 

Additionally, the surface area-to-volume ratio of a particle becomes quite significant in the nanoscale. This ratio matters, as chemical reactivity differs at surfaces and edges. These properties combine to produce some really interesting nanoparticle effects, which are just now being studied and put to good use in the 21st century. 

Many different energies overlap in the nanoscale, at 10-9 meters [1]. That means energy can easily be transformed, for example, from light energy to chemical energy to electrical potential energy.

For example, consider that nanomaterials exist on the same scale as the wavelength of visible light (typically 400-800 nm). The interaction of an oscillating electromagnetic wave (a photon) with a conductive nanoparticle on the same length scale can lead to a corresponding oscillation in the nanoparticle’s electrons. 

This phenomenon is known as surface plasmon resonance, and has been investigated for many applications, including catalysis and biological sensors [2]. 

The catalysis application is particularly promising. Chemical plants often catalyze, or speed up, chemical reactions at large scale using rare earth transition metals, like scandium or yttrium. Increasing demand for these metals has caused a strain in supply, and there is widespread fear that the world may soon face a shortage of transition metal catalysts. 

A nanoparticle made of aluminum, a much more abundant material, may catalyze the same reactions as a rare earth catalyst. When a nanoparticle is plasmonically excited by light, it may “relax” by emitting a high-energy electron, which can initiate chemical reactions that may not be favorable in other conditions. Such a robust and widely available catalyst would solve the impending crisis of rare earth metal shortages. In fact, the high surface area of such nanoparticles may even make them a better catalyst than rare earth metals ever were. 

(For more on plasmonic catalysis with aluminum nanoparticles, check out reference [2] and the Nanophotonics Laboratory at Rice University!)

Plasmon resonance of a conductive nanoparticle interacting with visible light, which has a wavelength between 400 and 800 nm. Plasmon excitation decays with the emission of an electron.

The properties of a nanoparticle may vary significantly with its size. For example, certain types of nanoparticles known as quantum dots possess tunable visible properties, fluorescing or “glowing” different colors depending on the size of the nanoparticles. 

Solutions of quantum dots increasing in size by 10 nm, from left to right. Image from Wikimedia Commons.

Electrical properties may also be tuned by size. For instance, the Fuchs-Sondheimer effect describes the drastic increase in resistivity as the size of a nanoparticle approaches the size of the space, or “box,” in which its electrons naturally exist. This “electron in a box” effect causes a massive decrease in conductivity in many materials when they approach sizes under ~50 nm. 

The Fuchs-Sondheimer Effect, where surface interactions can limit the conduction of electrons, causing lower conductivity at lower length scales.

The unique and tunable properties offered by nanoparticles’ small size, as well as their high surface area to volume ratio, makes them a nearly ubiquitous topic of research in modern chemical laboratories. 

Electron Optics

Nanoparticles are quite interesting, but they are very difficult to study. Because nanoparticles possess dimensions on the order of visible light, they are quite difficult to image via orthodox optical techniques. 

To see into the nano-world, scientists have to get a bit creative. In the early 1900’s, Max Planck used the principle of wave-particle duality to describe the theoretical “wavelength” of an electron in motion. Scientists use this duality in instruments known as electron microscopes. 

Such instruments use electrons as a substitute for photons, taking advantage of the relatively lower wavelength of an accelerated electron. These instruments can be used to achieve image resolution up to 0.1 nm, in some cases enabling the imaging of individual molecules and atoms. 

Polio virus imaged via a transmission electon microscope (TEM). Individual virus particles are 30 nm.

That’s all I have for you today! Hope you enjoyed this fun foray into nanoscience. Most materials science projects in the modern era involve some sort of nanoscale material, so this science remains highly relevant. 

Sorry I took such a long hiatus – my summer got quite busy, and I wanted to take the time to enjoy the friends I found in Livermore. I had a great summer seeing all of California’s beauty and meeting lots of nerds. It was practically paradise! Well, if you don’t count all those late nights writing papers…

As always, don’t hesitate to ask any questions or request clarifications. See you all again next time! 

References

  1. Philips, R., and Quake, S. R. “The Biological Frontier of Physics.” 2006, Physics Today. 59, 38-43
  2. Brongersma, M. L., Halas, N. J., and Nordlander, P. “Plasmon Induced Hot Carrier Science & Technology.” 2015, Nature Nanotechnology. 10, 25-34. 

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