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1 The Crystal Structure of Solids

1.3 Space Lattices

lattice point 晶格点

unit cell a small volume of the crystal that can be used to reproduce the entire crystal

primitive cell the smallest unit cell that can be repeated to form the lattice.

1.3.2 Basic Crystal Structures

Volume Density of Atoms

1.5 (b)

\[ \begin{gather*} \frac1{8}\times8+1=2\\ Volume\space Density=\frac{\#atoms\space per\space unit\space cell}{volume\space of \space unit\space cell}={2\over a^3} \end{gather*} \]

Three lattice types:

image-20240404233603766

(a) simple cubic, (b) body-centered cubic, (c) face-centered cubic.

1.3.3 Crystal Planes and Miller Indices

surface matters a lot

the intercepts of the plane 平面的截距

Miller indices

hkl plane

image-20240404234517741

取截距倒数?the use of infinity is avoided

take the reciprocal(倒数) of the intercepts(截距)

distance between nearest equivalent parallel planes

surface concentration

surface density

image-20240404235422381

1.3.4 Directions in Crystals

[1,1,1]平面法向量

1.4 The Diamond Structure

tetrahedral 四面体

image-20240404235735774

image-20240404235924203

zincblende (sphalerite) structure

image-20240405000105070

1.5 Atomic Bonding

qualitative understanding

valence electrons 价电子

ions 离子

coulomb attraction 库伦吸引

ionic bond 离子键

NaCl

covalent bonding 共价键

H~2~

the outer silicon atoms always have valence electrons available for additional covalent bonding - infinite structure

metallic bonding 金属键

Van der Waals bond 范德华~

nonsymmetry - small electric dipole - interact with each other

1.6 imperfections and impurities in solids

electrical parameters

1.6.1 imperfections in solids

atomic thermal vibration

lattice vibration

thermal energy(function of temperature) - atom randomly fluctuate

point defect

lack of an atom - vacancy

image-20240410102423914

多了一个 interstitial

  • Frenkel defect
line dislocation

1.6.2 impurities in Solids

lattice defects

substitutional impurities

interstital impurities

image-20240410103330800

doping (参杂原子)
  • impurity diffusion

high temperature - vacancy - impurity partical move from high concentration to lower - low down the temp

  • ion implantation

low temp - ions be accelerated

defect: lattice displacement damage

solve: thermal anneal 热退火

1.7 growth of semiconductor materials

1.7.1 growth from a melt

Czochralski Method(Growth)

seed - the same material in liquid phase - pulled - bigger

zone refining(Purify)

At the solid–liquidinterface, there is a distribution of impurities between the two phases. The parameter that describes this distribution is called the segregation coefficient: the ratio of the concentration of impurities in the solid to the concentration in the liquid.

r-f coil 射频线圈

切割

flat(110)plane

polish

chemecal etch

1.7.2 Epitaxial Growth

外延生长

single-crystal substrate

homoepitaxy one material

heteroepitaxy e.g. Growing epitaxial layers of the ternary alloy AlGaAs on a GaAs substrate

CVD chemical vapor-phase deposition

chemical reaction release material atom to deposit on the material

Liquid-phase epitaxy

melt temp lower than the semiconductor itself

practiced at low temp (III-V)

Molecular Beam Epitaxy

vacuum iat temp 0f 400-800

semiconductor and dopant atoms evaporated onto the surface of the substrate

1.8 Summary

substrate A semiconductor wafer or other material used as the starting material for further semiconductor processing, such as epitaxial growth or diffusion.

ternary semiconductor A three-element compound semiconductor, such as aluminum gallium arsenide (AlGaAs).

elemental semiconductor A semiconductor composed of a single species of atom, such as silicon or germanium.