New PDF release: Characterization of Materials

By E. Lifshin (editor)

ISBN-10: 3527603972

ISBN-13: 9783527603978

Fabrics technological know-how and know-how is a seminal paintings and crucial reference supplying entry to a veritable compendium of data overlaying an important periods of fabrics present in undefined, together with: metals, ceramics, glasses, polymers, semiconductors and composites. also, fabrics technology and know-how offers with the functions, processing, and primary rules linked to those fabrics. It in actual fact and comprehensively presents the person with information from study and at the homes, education and capability of the person sessions of fabrics.

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Extra resources for Characterization of Materials

Sample text

For 5 = 0 the expressions then become = 2 c o s 2 ( j ) t c o s h ( 2 n G i z o ) ± cos(2narz0)] /$ = (1-156) = -sin 2 f - ) [cosh(4na { u)± cos(4naru)] 1 M\ s = - sin a [sin (2naT zx) sinh (2na{ z2) ± ±sm(2naTz2)smh(2naizi)] (1-157) where the upper sign applies to 7T, and the lower sign to J s ; z0 = z± 4- z2 is the total -5 thickness; z± and z2 are the thicknesses of the front and rear part, respectively; and 2 u = zx — z2. In fact, u is the distance of the interface from the foil's central plane.

This D and D' with the dispersion surface. gives a simple geometric interpretation of The geometry of Fig. 1-19 shows that tg in reciprocal space. The relation in Eq. (1-80) leads to two wave vectors k£ and k^ for the incident = (OB 2 + BC 2 ) - (OB 2 + BD 2 ) = wave, which are compatible with the periodic potential: = (BC + B D ) ( B C - B D ) = k± = K-A±e (1-81) = (FC + BD) CD ~ 2BC C D The ratio of the amplitudes Rg can be obsince WD~BC. tained from the set of homogeneous equaIntroducing the vector CD = Aen, where tions, Eqs.

1-20. These maxima thus form a stationary pattern which can be observed behind the crystal and magnified, and which is directly related to the set of lattice planes. 1 Normal Absorption Normal absorption is phenomenologically described by a complex refractive index, the absorption coefficient being related to the imaginary part of the refractive index. This can easily be seen quite generally by writing the expression for a plane wave as \j/ = \j/0 exp [i {k z — co t)] with k = co/v = a>n/c with n = c/v {v = velocity in medium, c = velocity in vacuum).

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Characterization of Materials by E. Lifshin (editor)


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