introduction to nanoscience

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introduction to nanoscience

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[...]... basis of most people’s impression of Nanoscience But there is more to Nanoscience than technology Nanoscience is where atomic physics converges with the physics and chemistry of complex systems Quantum mechanics dominates the world of the atom, but typical nanosystems may contain from hundreds to tens of thousands of atoms In nanostructures, we have, layered on top of quantum mechanics, the statistical... identical copies of just one DNA molecule One molecule is replicated to two, two to four, and so on Doing synthesis of complex organic molecules by “pushing atoms together”: “We can arrange atoms the way we want.” STM has been used to construct some remarkable structures by pushing atoms together (Fig 1.5),20 but it is not a very practical way to make new materials because the quantities are so small Resonant... shown in slit 2 scattering light into D2 However, scattering of the photon changes the initial momentum of the electron, pe0 , to pe1 The vector difference between these two momenta, δpe , must equal the change in momentum for the photon, δpp (the vector difference between p0 and p1 ), to conserve momentum in the collision The resulting disturbance owing to the attempt to observe the electron’s path destroys... quantum chemistry packages available over the Web or for downloading on to a laptop computer So what has this to do with cats? When many atoms are put together to make a macroscopic object like, for example, a cat, common sense tells us that cats obey the laws of classical physics: when dropped from a tall building they fall according to Newton’s laws of motion I chose the example of the cat as a classical... we get to confront the big question of “when is a system quantum mechanical and when is it classical?” Quantum mechanics was invented in response to the problems posed by very small systems through the attempts of early twentieth century physicists to understand the behavior of atoms Much of this history is given in the introductory chapters to books on quantum mechanics.1,2 “The Making of the Atomic... pass to the left or the right of the center of the biprism) are a distance, d , apart Beams that travel straight to the screen travel the same distance However, at an angle, θ, the lower beam travels an extra distance “x” to get to the same region as the top beam (in the far-field approximation that the detector is so distant that all beams are parallel at the detector) d u x in Fig 2.1(e) turns out to. .. heart of Nanoscience This book seeks to build this common core and to demonstrate its application in several disciplines In this introductory chapter we will start with technology, that is, those applications that flow from the ability to manipulate materials on the nanometer 1 2 What is nanoscience? scale We will then go on to examine the scientific phenomena that dominate nanoscale systems In order to appreciate... Fluctuations and “Darwinian Nanoscience Fluctuations play a large role in small systems simply because they are relatively larger in smaller systems The total energy contained in the bonds that hold a collection of atoms together decreases with the number of atoms in the system Importantly, smaller objects have relatively more atoms on their surfaces than in their interior, and these surface atoms are usually... as a scientific paper in 1992.1 Nanoscience really sprang into the public consciousness sometime after the invention of the scanning tunneling microscope (STM) in 1981.2 Here was an amazing tool that could image and manipulate atoms Atomic scale imaging had been possible in the past with multimillion-dollar transmission electron microscopes, but the STM was a benchtop tool that a graduate student could... collection of interacting atoms From this mixture of quantum behavior and statistical complexity, many phenomena emerge They span the gamut from nanoscale physics to chemical reactions to biological processes The value of this rich behavior is enhanced when one realizes that the total number of atoms in the systems is still small enough that many problems in Nanoscience are amenable to modern computational .

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  • Contents

  • 1 What is Nanoscience?

    • 1.1 About size scales

    • 1.2 History

    • 1.3 Feynman scorecard

    • 1.4 Schrödinger’s cat—quantum mechanics in small systems

    • 1.5 Fluctuations and “Darwinian Nanoscience”

    • 1.6 Overview of quantum effects and fluctuations in nanostructures

    • 1.7 What to expect in the rest of this book

    • 1.8 Bibliography

    • 1.9 Exercises

    • References

    • Part I: The Basics

      • 2 Quantum mechanics

        • 2.1 Why physics is different for small systems—the story of the Hitachi experiment

        • 2.2 The uncertainty principle

        • 2.3 The Hitachi microscope as a quantum system

        • 2.4 Probability amplitudes and the rules of quantum mechanics

        • 2.5 A word about “composite” particles

        • 2.6 Wavefunctions

        • 2.7 Dirac notation

        • 2.8 Many particle wavefunctions and identical particles

        • 2.9 The Pauli exclusion principle

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