WHY do properties change at the nanoscale?

An introduction to PHYSICS at the nanoscale!

Tiny Teacup Activity

Forces that win at the macroscale aren’t as important

at the nanoscale.

When you tip a normal-sized teacup, why does the water pour out?

Gravity!

When you tip a tiny teacup, why doesn’t the water pour out?

Properties of water like adhesion, cohesion, polarity & surface tension

“defeat” gravity in the miniature version.

Styrofoam ball Throw!

When you throw a ball there are competing forces. Drag forces are proportional to surface area while inertia, which is proportional to volume, resists changes in velocity. How

quickly an object slows down (its deceleration) is given simply by the ratio of the drag force to the inertia (mass).

Deceleration = Drag force/Inertia = (C x Surface Area x Velocity)/(Density x Volume)

C is a coefficient that depends on the fluid the object is moving through (so it would be the same for both styrofoam balls), we’re assuming the initial velocity & density are the same for both also.

Styrofoam has the correct density where we can observe a crossover of the dominance of inertia (for the larger ball) to the dominance of

viscous drag (air resistance) for the smaller ball.

The four important changes at the nanoscale…

• Gravitational forces become negligible & electromagnetic forces dominate (+ & - charges)

• Quantum mechanics is used to describe motion rather than classical mechanics

• Surface area to volume ratio increases• Random molecular motion becomes more

important

BACKGROUND…

The Original Physics• Classical physics • Largely developed by Isaac Newton (late 1600s)

• Action = reaction

• Still relevant to our world today

Doesn’t explain observations of atoms, molecules, subatomic particles….

The Blackbody Radiation ProblemIn the late 1800s, scientists were unable to use classical physics to explain blackbody radiation (the radiation emitted by solid bodies once they’d been heated).

The scientist who started to redefine physics…

Max Planck was able to explain blackbody radiation with his famous equation:

E = hf

Energy is discharged in small packets called quanta. (Before this, physicists believed energy could be discharged in any amount, it was continuous).

Quantum Mechanics was born!

• Explains phenomena not explained by Classical Mechanics (early 1900s)

• Based on probability and statistics

Components:• Electromagnetic Waves• Photoelectric Effect• Atomic Orbitals• Wave-Particle Duality• Uncertainty Principle

Quantization of Energy (Atomic Spectra)

wavelength

Electromagnetic Radiation• Speed of light = 3.0 x 108 m/s = 670 million mph• Frequency (f): number of cycles/second• Wavelength ():

• distance between 2 identical spots on wave• crest to crest f c

Review:Which has more energy—a red wavelength of

light or a blue wavelength of light?

Answer: Blue!

• There is a minimum frequency of radiation required for current to flow

• It is not based on intensity (ex: it doesn’t matter how much red light you shine on the metal, it still isn’t going to knock electrons off).

• Current flows when light hits; no time lag• The # of e- emitted depends on intensity• Photons: packets of light energy

e-

e- e- e-e-

Photoelectric Effect

Photoelectric EffectApplications…

• Digital cameras

• Night vision

• Solar cells

Where are electrons?

Atomic Orbital:• Volume of space where an e- is most likely to be found• Each orbital can hold a maximum of 2 electrons

• Cloud around nucleus

• Each electron is associated with a specific energy

• Always some uncertainty

Energy States• Ground state: lowest E level• Excited states: higher E levels• Photon emitted:

e- drops down to lower E state

• Photon absorbed: e- jumps up to higher E state

Atomic Spectra1. Electrons of gas atoms jump up energy levels (are

“excited”) when you put energy in

2. Excited electrons drop down to the “ground” state

The amount of energy lost is equal to the energy of light emitted

The Double Slit Experiment

Waves bend around edges and slits

constructive interference“in phase”

destructive interference“out of phase”

The Double Slit Experiment

Particles do not bend around edges and slits

What about electrons? Are they particles?

Let’s ask Dr. Quantum…. http://www.youtube.com/watch?v=DfPeprQ7oGc

Heisenberg Uncertainty Principle

Impossible to know exact position and momentum of a particle at same time

x mu h

4

∆x: uncertainty in position m: mass∆u: uncertainty in speed h: Planck’s constant

More accurately know position?

Why can we be certain about larger particles (i.e. baseball)?

Overview• Electrons in atoms are found in orbitals.• Each orbital has an energy level and sublevel (shape)• The closest energy level to the nucleus is the ground state;

higher levels are excited states• Electrons can act like particles or waves (double-slit expt)• Radiation can act like energy or waves (photoelectric effect;

photons are packets of light energy)• Atoms emit or absorb photons when their electrons change

energy levels• The Uncertainty Principle states that the more you know an

object’s position, the less you know its momentum (and visa versa).

SummaryThe laws of physics that are most important to a particular system

depend on the size of that system.

At the nanoscale, almost all interactions are mediated by surface effects. So forces between objects are often proportional to their

surface area.

This is why surface-related forces that bond molecules and nano-objects together—such as chemical and intermolecular bonds—are so

much more important than gravity!

The surface area to volume is dramatically higher—up to a billion times higher—for nano-objects than for human-scale objects (so

surface-related effects dominate).