Aniruddha Chakraborty School of Basic Sciences

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Introduction to Nanoscience What is happening at a very, very small length scale ? Aniruddha Chakraborty School of Basic Sciences Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, India. E-mail: achakraborty@iitmandi.ac.in Web: www.iitmandi.ac.in

Acknowledgements Prof. K. L. Sebastian, IISc, Bangalore, India. Organizers of NSNT, IIT Mandi, Himachal Pradesh, India. Students of B. Tech. ’Nanoscience’ course.

Plan of the talk What is Nano-scale Science? Actual physical dimensions relevant to nano-systems. Properties of Nano-material. Size & Shape Dependent Properties – at Nanoscale. Conclusions. Suggested Readings.

What is Nano ? ‘Nano’ length scale ? Nano - a prefix that means very, very, small ! Question : How small is ‘nano’ ? Answer: “One billionth" of something, or 0.000000001. ‘Nano’ length scale ?

A nanometer is one billionth of a meter. What is Nanometer ? A nanometer is one billionth of a meter. Nanoscale is actually Nanometer scale. Nanometer scale range from approximately 100 nm to 1 nm. Accurate definition of nanometer scale ?

Nanoscience: Nanometer scale science A part of science that studies small stuff. So, what is Nanoscience ? It is not only Biology. It is not only Physics . It is not only Chemistry. It is all sciences that work with the very small. Nanoscience is not physics, chemistry, engineering or biology. It is all of them. S.M. Lindsay, Introduction to Nanoscience, Oxford University Press (2009).

Actual physical dimensions relevant to nanosystem Nanoscience 0.1nm 1nm 10nm 100nm 1m 10 m Size and shape dependent properties Nanometer scale : The length scale where corresponding property is size & shape dependent.

Length Scale Bohr radius = 0.5292Å ≈ 0.05 nm C atom (VdW radius)=0.17 nm In a 1nm line: 3 C atoms In a 1nm x 1nm surface: 9 C atoms In a 1nm x 1nm x 1nm cube: 27 C atoms In a 100 nm x 100 nm x 100 nm cube: 2.7 x 107 C atoms In a 1m x 1m x 1m cube: 2.7 x 1028 C atoms Typical nanosystems may contain from hundreds to tens of thousands of atoms.

Nanosystems: % of Surface atoms Example of Gold nano particle: Sphere of radius 12.5 nm contains total approx. 480,000 atoms. surface contains approx. 48,000 atoms. So, approx. 10% atoms are on the surface. Sphere of radius 5 nm contains total approx. 32,000 atoms. surface contains approx. 8000 atoms. So, approx. 25% atoms are on the surface. Surface atoms have unused electrons – so very reactive (can be used for catalysis)

How do properties change at the nanoscale? What’s interesting about the nanoscale? – Nanosized particles exhibit different properties than larger particles of the same substance. -- Nanosized particle exhibit size & shape dependent properties. How do properties change at the nanoscale?

Properties of a Material A property describes how a material acts under certain conditions. Types of properties: Optical (e.g. color). Electrical (e.g. conductivity). Physical (e.g. melting point). Chemical (e.g. reaction rate). Properties are usually measured by looking at large (~1023) aggregations of atoms or molecules. Sources: http://www.bc.pitt.edu/prism/prism-logo.gif http://www.physics.umd.edu/lecdem/outreach/QOTW/pics/k3-06.gif

12 nanometer gold clusters of particles look red. Optical Properties: Colour of Gold Bulk gold appears yellow in colour. Nanosized gold appears red in colour The particles are so small that electrons are not free to move about as in bulk gold. Because this movement is restricted, the particles react differently with light. 12 nanometer gold clusters of particles look red. Sources: http://www.sharps-jewellers.co.uk/rings/images/bien-hccncsq5.jpg http://www.foresight.org/Conferences/MNT7/Abstracts/Levi/

Physical Property: Melting Point of a Substance Melting Point (microscopic definition) Temperature at which the atoms, ions, or molecules in a substance have enough energy to overcome the intermolecular forces that hold the them in a “fixed” position in a solid Surface atoms require less energy to move because they are in contact with fewer atoms of the substance. In contact with 3 atoms In contact with 7 atoms http://serc.carleton.edu/usingdata/nasaimages/index4.html

At the macroscale At the nanoscale Understanding Melting Point: macro vs. nano At the macroscale At the nanoscale The majority of the atoms are… …almost all on the inside of the object …split between the inside and the surface of the object Changing an object’s size… …has a very small effect on the percentage of atoms on the surface …has a big effect on the percentage of atoms on the surface The melting point… …doesn’t depend on size … is lower for smaller particles

Electrical Properties : Conductivity of Nanotubes Nanotubes are long, thin cylinders of carbon: Their electrical properties change with diameter, “twist”, and number of walls They can be either conducting or semi-conduc their electrical behavior.

Chemical Property: Reaction Rate Nano particles are very small in size. Very high surface area to volume ratio. Reactions are very quick.

Things are different at different Length Scale There are enormous Length scale differences in our universe! At different scales Different forces dominate Different models better explain phenomena

Length Scale - Changes Everything Three important ways in which nanoscale materials may differ from macroscale materials Gravitational forces become negligible and electromagnetic forces dominate. Quantum mechanics is the model used to describe motion and energy instead of the classical mechanics model. Greater surface to volume ratios.

Dominance of Electromagnetic Forces Gravitational force is a function of mass and distance and is weak between (low-mass) nanosized particles. Electromagnetic force is a function of charge and distance is not affected by mass, so it can be very strong even when we have nanosized particles. Sources: http://www.physics.hku.hk/~nature/CD/regular_e/lectures/images/chap04/newtonlaw.jpg http://www.antonine-education.co.uk/Physics_AS/Module_1/Topic_5/em_force.jpg

Quantum Effects Classical mechanical models that we use to understand matter at the macroscale break down for… The very small (nanoscale) systems. Quantum mechanics better describes phenomena that classical physics cannot, like… The colors of nanogold The probability (instead of certainty) of where an electron will be found. Below a certain length scale (that depends on interaction strengths) systems must be described using quantum mechanics. Sources: http://www.phys.ufl.edu/~tschoy/photos/CherryBlossom/CherryBlossom.html http://www.nbi.dk/~pmhansen/gold_trap.ht; http://www.sharps-jewellers.co.uk/rings/images/bien-hccncsq5.jpg;

Surface to Volume Ratio Increases As surface to volume ratio increases A greater amount of a substance comes in contact with surrounding material. This results in better catalysts, since a greater proportion of the material is exposed for potential reaction.

Three Generic Nanostructures Quantum Dot – 0 Degree Of Freedom – 3 dimensional confinement Quantum Wire – 1 Degree Of Freedom – 2 dimsional confinement Quantum Well - 2 Degrees of Freedom – 1 Dimensional Confinement.

Nanoscience: A New Day The nanoscience revolution will lead to… New areas of research . Better understanding of matter and interactions. New ways to tackle important problems in science. By learning about an individual atom’s/molecule’s properties, we can put them together in very well-defined ways to produce new materials with new and amazing characteristics. Source: http://www.hyperorg.com/blogger/images/sunrise_medium1.jpg

Conclusions Nanoscience refers to the science with dimensions in the range from 1-100 nanometers. In nanoscience building blocks may consist of anywhere from a few hundred atoms to millions of atoms. In nanoscale, properties (electrical, mechanical, optical, chemical, and biological) are fundamentally different from bulk. In nanoscale, properties (electrical, mechanical, optical, chemical, and biological) are shape and size dependent.

Suggested Readings 1. Introduction to Nanoscience : S. M. Lindsay, Oxford, 2010. 2. Nanotechnology: Understanding small systems : Rogers, Pennathur & Adams, CRC press, 2008. 3. Introductory Nanoscience : Masaru Kuno, Garland Science, 2011. 4. Quantum Mechanics for Nanostructures : Vladimir V. Mitin, Dimitry I. Sementsov & Nizami Z. Vagidov, Cambridge, 2010. 5. Nanophysics and Nanotechnology: An introduction to the modern concepts in Nanoscience: Edward L. Wolf, Wiley-VCH, 2011. 6. Introductory Quantum Mechanics : Richard L. Liboff, Addison-Wesley, 1993. 7. Foundations of Nanomechanics, A. N. Clealand, Springer, 2003.

Thank You ! This tutorial slides will be available at www.iitmandi.academia.edu/AniruddhaChakraborty