Potassium chloride (KCL) crystal with a unit cell parameter of 6.3 A. The potassium and chlorine atomic weights are 39 a.m.u and 37 a.m.u, respectively. The young's modulus of elasticity is 2.967x100 N/m². Calculate the following: a- The maximum value of the optical branch frequency. b- The corresponding wavelength.
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- X rays with a wavelength of 0.15 nm undergo first- order diffraction from a crystal at a 64° angle of incidence. ▾ Part A What is the angle of second-order diffraction? Express your answer using two significant figures. 02 = ΜΕ ΑΣΦ Submit Request Answer ?1. The visible light of wavelength 5000˚A undergoes scattering from a crystal of refractive index 1.5. Calculate the maximum frequency of the phonon generated and the fractional change in the frequency of the incident radiation, given the velocity of sound in the crystal as 5000 m/s. 2. The Young’s modulus of NaCl in [100] direction is 5 × 1010N/m2 . Assuming that the extension in the [100] direction produces negligible contraction in the perpendicular directions, calculate the wavelength at which the electromanetic radiation is strongly reflected by the NaCl crystal. Atomic masses of Na and Cl are 23 and 35.5 a.m.u respectively.3. Gold has the structure as copper. The velocity of sound in gold is 2100 m/s and that in copper is 3800 m/s. If the Debye temperature of copper is 348 K, determine the Debye temperature of gold. The densities of gold and copper are 1.93 × 104kg/m3 and 8960kg/m3 and their atomic weights are 197.0 and 63.54 a.m.u respectively. 4. The Debye temperature of…8) (a) Show that if the crystal undergoes volume expansion, then the reflected beam is rotated by the angle: 80 =-.tan0.8T, where ß is the volume coefficient of expansion, T is the temperature and the Bragg angle. (b) The Bragg angle for a certain reflection from a powder specimen of Cu is 47.75° at a temperature of 293 K and 46.60° at 1273 K. Calculate the coefficient of linear thermal expansion of Cu (Use the angle in radian).
- Qg) What is the mode number nearest the line center. of the 632.8 nm transition of HeNe laser? what is the mode separation ? Take the mirrors separation to be 0.5m..3. A Ruby laser contains a crystal length (4cm) with a refractive index of (1.78). The peak emission wavelength from the device is (0.55µm). Determine the number of longitudinal modes and the bandwidth of the net gain. m=145454 Av= 3x1014 Hz 4. Resonator for laser consisting of two concave mirrors, Nd: YAG and quality factor M=1 Calculate: The TEM00 at the center and on the mirrors (wo,W1,w2). The diffraction angle of the laser beam (6aiv). Lefm NYAG 1demPerry O’tic wanted to look at the atomic emission spectrum of Helium. He created a spectroscope with a diffraction grating (4900 lines per cm) and two metersticks. The diffraction grating was located 23 cm from the optical slit. When Perry O’tic looked through the diffraction grating, he observed a spectral line 8.0 cm from the optical slit. What is the wavelength of the observed spectral line?
- 5. A 17.0-mW (milli-Watts) laser puts out a narrow cylindrical beam 2.50 mm in diameter. What is the average rms B-field? T 9 00m 90oo oofls f19In the process of performing an analysis, you determine that you need to improve the precision by limiting the error in the absorbance to 9.400 x 10%. You attempt to achieve this by reducing the amount of stray light that reaches the detector. What is the maximum amount of stray light that can reach the detector that will limit the error in the absorbance to 9.400 x 10 for a true absorbance of 1.0000000? s= 222 x10-5 IncorrectA mode-locked laser has a linewidth of 100nm at a center wavelength 1050nm. Assume the pulse shape is hyberbolic secant and it is transform limited. What is the pulse width (in fs)? (round all answers to 1 sig. fig. after decimal point) a.116.0 b.11.6 c.5.8 d.58.0 e.100.0
- The figure below depicts spectral reflectance measurements for three different materials: a green leaf from a healthy plant, a sheet of shiny blue paper, and the palm of a human hand. The measurements are labeled 1 (black line), 2 (red line), and 3 (blue line). Match the measurements to the most appropriate material typeQuartz is a uniaxial birefringent material with refractive indices no=1.5534 and ne=1.5443. It is desired to make a quarter-wave plate of quartz for use with a Sodium laser of wavelength λ0=589 nm. Calculate the minimum thickness of the plate.Give your answer in micrometers to 1 d.p.3. A symmetrical step index planar waveguide is shown below. Calculate the maximum acceptance angle, A, of the waveguide. (Hint: think about what could happen at the core/cladding interface) nair = 1 ANS: 15.4° ОА n₁ = 1.456 n₂ = 1.48