If the first-order diffraction maximum is observed at 12.1° for a crystal having an interplanar spacing of 0.280 nm. At what angle will the 4th order diffraction maximum appear? Group of answer choices 48.4 degrees 52.3 degrees 55.6 degrees 57.0 degrees

Potassium iodide (KI) has the same crystalline structure as NaCl, with atomic planes separated by 0.353 nm. A monochromatic x-ray beam shows a first-order diffraction maximum when the grazing angle is 8.60°. Calculate the x-ray wavelength. nm

You used a 632nm laser to diffract images onto a wall 2 meters away using two separate diffraction gratings; one with 100 lines per mm and the other 300 line per mm.  Is there a theoretical limit to the number of orders observable with your diffraction gratings? If not, explain why. If so, determine the limits for your grating.

You measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.01, 3.27, 3.28 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.01, 3.27, 3.28, 3.31, 3.16, 3.17, 3.15, 3.25, 3.18, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements? Group of answer choices First three: (3.22 ± 0.03) mm, All ten: (3.22 ± 0.02) mm First three: (3.19 ± 0.09) mm, All ten: (3.0 ± 0.2) mm First three: (3.186667 ± 0.07216237) mm, All ten: (3.201000 ± 0.02613236) mm First three: (3.216667 ± 0.02880329) mm, All ten: (3.216000 ± 0.02379916) mm First three: (3.240000 ± 0.04082483) mm, All ten: (3.217000 ± 0.02702036) mm First three: (3.24 ± 0.04) mm, All ten: (3.22 ± 0.03) mm

The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4172 lines/cm? (Assume that the light is incident normally on the grating.) first order separation     ° second order separation     ° third order separation     °

4. Structure factor of diamond. The crystal structure of diamond is described in previous discussion. The basis consists of eight atoms if the cell is taken as the conventional cube. (a) Find the structure factor S of this basis. (b) Find the zeros of S and show that the allowed reflections of the diamond structure satisfy v₁ + V₂ + V3 = 4n, where all indices are even and n is any integer, or else all indices are odd (see figure below). Notice that h, k, I may be written for V₁, V₂, V3 and this is often done. Neutron intensity, counts per minute 800 600 400 200 20° (111) +0.45° 30⁰ (220) 0.65⁰- 45° Counter position 20 (311) Aama +0.70⁰ 60° 0.80° (400) 75°

Please help me answer the following. The laser = 759 nm, and the diffraction grating is 4.5 cm

PROBLEM For a given x-ray diffraction test (n = 1) on a cubic crystal structure, the recorded diffraction peaks (20) were 24.09°, 34.33°, 42.37°, 49.33°, 55.62°, and 61.48°. The x-ray wavelength used in the test was 0.15418 nm. For this test, determine the crystal structure of the element, the lattice constant, and identify the element.

The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4014 lines/cm? (Assume that the light is incident normally on the grating.) first order separation      ° second order separation      ° third order separation      °

3. A Cu target emits an X-ray line of wavelength = 1.54 Å. a) Given that the Bragg angle for reflection from the (111) planes in Al is 19.2°, compute the interplanar distance for these planes. Recall that aluminum has an fcc structure. b) Knowing that the density and atomic weight of Al are, respectively, 2.7 g/cm3 and 27.0, compute the value of Avogadro's number.