plesae answer You have performed several experiments on a semiconductor sample o

Question

plesae answer

You have performed several experiments on a semiconductor sample of Robertonium. You are to use the results of these experiments to determine certain physical quantities. Perform the necessary calculations to complete the table. Be sure to show all your work and proceed in a neat, orderly fashion. Be very careful with units! Measurement of the sample geometry: Length, L = 1.20 cm, width, w = 0.60 cm, thickness, t = 0.80 mm, mass, m = 2.131E-01 g. Results of x-ray diffraction measurements indicate that the crystal structure is Diamond, and the first order Bragg diffraction peak (lambda = 2d sin theta ) from the {100} planes occurs at an angle of 9.85 degree. The Cu K alpha x-rays are known to have a wavelength of 0.154 nm. Data from a resistance measurement using the geometry shown. The current flows through the sample along the length, L, and the voltage difference is measured between the ends:

Explanation / Answer

1)

Lattice n three dimensions has three different constants.

Lattie constants are : 1.20 m = 1.20*10^8 A , 0.80 cm = 8.0*10^7 A and 0.60cm = 6.0*10^7 A

1 A = 1 angstorm = 10^-10 m

2)

mass = 2.131e-01 g

Molar mass = 12.01 g

so,

moles of diamond =  2.131e-01/12.01 = 0.017743 mol

so,

no, of atoms = moles* Avagrado number = 0.017743*6.022*10^23

Atomic desity = no. of atoms/Volume = (0.017743*6.022*10^23)/(1.20*0.8*0.6) = 1.855006e+22 atoms per cm^3

3)

Arial density on 110 plane, that is on xy plane is

Arial density = no. of atoms/VolumeArea =  (0.017743*6.022*10^23)/(1.20*0.6) = 1.4840048e+22 atoms per cm^2

4)

Molecular weight = 2.131*10^-1 g

5)

R = V/I = 1.50/(1.30*10^-1) = 11.53846 ohm

Resistivity = R*A/l = 11.53846*0.6*0.8/1.2 = 4.615 ohm-cm

6)

Conductivity = 1 / resistivity = 1/4.615 = 0.21668 (ohm-cm)^-1

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