
Principles of Nanoscience and Molecular Engineering
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Content
Units, Fundamental Constants, and Symbols
CHAPTER 1: THE REALM OF NANOSCIENCE AND MOLECULAR ENGINEERING
1.1 NANOSCIENCE AND MOLECULAR ENGINEERING
1.2 PROPERTIES IN LOWER DIMENSIONALITIES
1.3 MECHANICAL SYSTEM RESPONSES
1.4 DRIVING FORCES AND RESPONSES IN THERMAL TRANSPORT
1.5 ELECTRONIC TRANSPORT OF LOWER DIMENSIONAL SYSTEMS
1.8 MINIATURIZATION, SCALING, AND SYSTEM CONSTRAINTS
1.9 ORGANIZATION AND OUTLOOK FOR NANOSCIENCE AND NANOTECHNOLOGY
STUDY PROBLEMS TO CHAPTER 1
CHAPTER 2: INTERFACIAL AND SIZE-CONSTRAINT SYSTEMS
2.1 OVERVIEW
2.2 VAN DER WAALS MOLECULAR INTERACTIONS
2.3 INTERFACIAL EFFECTS ON LIQUIDS AND VAN DER WAALS SOLIDS
2.4 INTERFACIAL EFFECTS ON SPIN-COATED POLYMER FILMS
2.5 SIZE AND INTERFACIAL CONSTRAINTS IN METAL NANOCLUSTERS
2.6 TWO-DIMENSIONAL SYSTEMS AND SURFACE ENERGY
STUDY PROBLEMS TO CHAPTER 2
CHAPTER 3: CONSTRAINED CONDENSED FLUID MOLECULAR SYSTEMS
3.1 MOLECULES AND PHASE PROPERTIES
3.2 METASTABLE LIQUID PHENOMENA
3.3 HYDRAULIC TRANSPORT IN CAPILLARIES AND BOUNDARY CONDITIONS
3.4 NANOCONDUIT FLOW ? BOUNDARY LAYER MODEL AND NANOCAPILLARIES
3.5 MEMBRANE TRANSPORT
STUDY PROBLEMS TO CHAPTER 3
CHAPTER 4: FIRST STEPS TOWARDS QUANTUM MECHANICS
4.1 THERMAL EMISSION: FROM BOLTZMANN TO QUANTUM DISTRIBUTION LAW
4.2 FIRST VIEW INTO QUANTUM MECHANICS
4.3 ATOM STRUCTURE AND A SIMPLE MODEL
4.4 WAVE AND PARTICLE INTERFERENCES AND PROBABILITY
4.5 QUANTUM WAVE THEORY, QUANTUM CONSTRAINTS AND UNCERTAINTY
PROBLEM SECTION TO CHAPTER 4
CHAPTER 5: ELECTRON TRANSPORT AND ELECTRONIC STRUCTURE OF MOLECULES
5.1 ELECTRON TRANSPORT IN ONE-DIMENSIONAL QUANTUM WIRE
5.2 ELECTRON TUNNELING
5.3 SINGLE ELECTRON DEVICE TECHNOLOGY
5.4 ELECTRONS, ENERGY STATES, AND DISTRIBUTION IN ATOMS
5.5 ELECTRON DISTRIBUTION AND BONDING IN MOLECULES
5.6 MOBILE ELECTRONS
PROBLEM SECTION TO CHAPTER 5
CHAPTER 6: ELECTRONIC STRUCTURE OF MATTER
6.1 ELECTRONIC STATES AND TRANSPORT IN CONDENSED MATERIAL PHASES
6.2 BACKGROUND ON DOPED INORGANIC SEMICONDUCTORS
6.3 PHOTOVOLTAIC CELLS
PROBLEM SECTION TO CHAPTER 6
CHAPTER 7: MOLECULAR MODES AND ENERGETIC PROPERTIES
7.1 MOLECULAR MODES
7.2 BOND VIBRATIONS IN MOLECULES
7.3 ROTATIONAL MOLECULAR MODE IN DIATOMIC MOLECULES
7.4 POLYATOMIC MOLECULES
7.5 LATTICE VIBRATIONS - PHONONS
PROBLEM SECTION TO CHAPTER 7
APPENDIX
A.1 Acoustic Wave Equation
A.2 Homogeneous Second Order Differential Equations
A.3 Solution of the 1D Wave Equation in Cartesian Coordinates
A.4 Solution to the Schrödinger Wave Equation for Hydrogen
Units, Fundamental Constants, and Symbols
A. Units
International system of units (SI)
Physical quantity SI unit Unit symbol Unit definition or relation Time Second s s = 103 ms, 106 µs, 109 ns = 1012 ps = 1015 fs Frequency Hertz Hz s-1 Length Meter m m = 10-6 µm = 10-9 nm = 10-10 Å Energy Joule J
kg m-2 s-2 = N m
eV = 1.60218 × 10-19 J
Force Newton N kg m s-2 = J m-1 Power Watt W kg m-2 s-3 = J m-1 Pressure Pascal Pa kg m-1 s-2 = N m-2 Surface energy (per unit area)/Line tension Pascal/Force/meter J m-2 = Pa = N m-1 Elastic modulus Pressure Pa = 10-9 GPa Electrical charge Coulomb C A s Electrical potential Volt V J A-1 s-1 = J C-1 Electric field Volt/meter = N C-1 Dipole moment Coulomb/meter D C m = 2.99792458 × 1029D (1D(ebye) = 3.33564 C Å3) Capacitance Farad F C/V = kg-1 m-2 s4 A2 Electric current Ampere A C s Electrical conductance Siemens S kg-1 m-2 s3 A2 Electrical resistance Ohm V/AB. Physical Constants
Values of selected physical constants
Physical quantity Constant symbol Value Elementary electron charge e 1.602 × 10-19 C Electron rest mass 9.109 × 10-31 kg Electron charge mass ratio 1.759 × 1011 C kg-1 Proton rest mass 1.673 × 10-27kg ~ 2000 Boltzmann constant 1.381 × 10-23 J K-1 Avogadro number 6.022 × 1023 mol-1 Universal gas constant 8.3145 J mol-1 K-1 Faraday constant 9.6584 × 104 C mol-1 Planck's constant 6.626 × 10-34 J s Planck's constant reduced 1.055 × 10-34 J s Bohr radius 5.29 × 10-11 nm = 0.529 Å Rydberg constant 1.09737 × 107 m-1 Permittivity of free space 8.854 × 10-12 F m-1 Speed of light 2.998 × 108 m s-1 Atomic mass unit 1.6605 × 10-27 kg
C. Symbols in text
Atomic or molecular radius [m] Van der Waals constants, , Bohr radius [m, Å] Area, cross-sectional area [m2]; Hamaker constant [J]; water permeance (water permeation coefficient) [perms] = [m s-1 Pa-1] Water permeance per unit area [ng s-1 m-2 Pa-1] = metric [perm]; ng = 10-9 g Rotation constant, rotation constant in units of wavenumber Molar concentration (molarity) [M] = [mol m-3] or [mol/liter]; molar concentration of solute [mol m-3] Specific heat capacity per unit mass at constant pressure or constant volume [J kg-1 K-1] Volumetric heat capacity at constant pressure or constant volume [J m-3 K-1] Speed of sound [m/s] Quantum dot capacitance [F] Distance; diameter [m] Diffusivity, mass diffusivity of component , binary diffusion coefficient [m2 s-1] Dissociation energy, bond dissociation energy [J] Hydraulic radius [m] Radial distribution function Density of state [J-1 m-3] Deborah number
Electric field strength [V m-1]; Young's modulus [Pa], Energy, energy Eigenvalue, kinetic energy [J]
Electron addition energy [J] or [eV] Fermi energy [J] or [eV] Energy level of principal quantum number or [eV] Charging energy of quantum dot [J] or [eV] Energies related to bottom of conduction band, top of valence band, and bandgap, respectively [J] or [eV] Cohesion energy [J] (media of atoms, or bulk) Surface stress [Pa]; degree of freedom Force [N] Euler number, elementary charge [C], energy per unit volume or kinetic energy per unit volume [J m-3] Fermi Dirac distribution Gibbs free energy [J], shear modulus [Pa] shear modulus, storage modulus, loss modulus [Pa] Electric conductance [S], Height [m]; Planck constant [J s] reduced Planck constant [J s] Enthalpy [J] Hamilton operator Ionization potential [J]; electric current [A] Intensity [J m2]; moment of inertia [kg m2] Spectral irradiation [W/m3] (called iota) Flux Molar mass flux, [mol m2 s-1]; nucleation rate [m-3 s-1] molar binary flux [mol m2 s-1] Tunnel current [nA] Force constant, spring constant [N m-1] Wavenumber [m-1] Boltzmann constant Thermal conductivity (thermal conduction coefficient) [W/m K] Bulk modulus [Pa]; permeability coefficient (permeance) [m2 s-1 Pa-1] Vibrational force constant (bond strength) [N m-1] Length [m] Angular momentum quantum number (or azimuthal quantum number) Orbital angular momentum operator in Mass [kg], molar mass [g mol], Molecular weight [amu] or [g mol] Electron mass, exciton mass [kg] Magnetic (or orbital) quantum number Mass flow rate [kg s-1] Mobility [m2 ...System requirements
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