Chapter 4 Properties of nanomaterials

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Size and shape dependent lajce parameters of metallic nanopar;cles It is predicted that the lajce parameters of nanopar;cles in several nanometers decrease with decreasing of the par;cle size and the par;cle shape can lead to 10% of the total lajce varia;on = (a p -a)/a Where a p and a are the lajce parameters of the nanopar;cle and the corresponding bulk material. where D (= 2R) is the diameter of the nanopar;cle, and K = α 1/2 G/ϒ . α is a factor to modify the shape difference between the spherical and the non-spherical nanopar;cles . For spherical nanopar;cle, α= 1, and for non-spherical nanopar;cle, α > 1. ϒ is the surface energy per unit area at the temperature T (0 ≤ T < Tm, Tm is the mel;ng temperature of metals) and G is the shear module . Generally, both of the shear module and the surface energy are posi;ve; therefore, the lajce parameter of the metallic nanopar;cles will decrease with decreasing of the par;cle size. Equa;on is the basic rela;on for the size and shape dependent lajce parameters of metallic nanopar;cles.
SHAPE DEPENDENCY Apparently, the shape factor approaches 1 with increasing the quan;ty of planes. Therefore, the values of regular polyhedral shapes range from 1 to 1.49. For disk-like nanopar;cles, the value of shape factor depends on the ra;o of height to radius. Varia;on of the rela;ve parameter of Pd nanopar;cles as a func;on of shape factor.
Page 1 and 2: PROPERTIES OF NANOSTRUCTURES 1. Sur
Page 3 and 4: Surface to bulk atom ra;o
Page 5: Increasing the surface area of the
Page 9 and 10: Size-dependent mel;ng of nanopar;cl
Page 11 and 12: Mel;ng of thin films (ld)
Page 16 and 17: SIZE DEPENDENCY Discussion: (1) The
Page 18: The light absorp;on in metal nanopa
Page 23 and 24: Op;cal proper;es of metal nanopar;c
Page 25 and 26: 2- Shape Haes et al. elegantly demo
Page 27 and 28: 4- Intrapar;cle coupling In the cor
Page 30 and 31: Summary of the op;cal proper;es of
Page 34 and 35: Exciton (Yakov Frenkel in 1931) bou
Page 37 and 38: Excitonic effects: The photons of e
Page 45 and 46: Elas;c Proper;es The elas;c constan
Page 49 and 50: Duc;lity and Toughness Grain size h

Chapter 4 Properties of nanomaterials

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