Table 1 Measured diameters D, and D, of the concentric diffraction rings as function of the accelerating voltage U. UkV D₁/cm D₂/cm 3.0 3.0 5.0 3.5 4.0 4.5 ei ei ei 2.9 4.7 2.8 4.5 2.6 4.2 5.0 2.4 4.0 a. Verification of the de Broglie's equation 1. Calculate the wavelengths A, and A₂ see Eq. (8)] derived from the Bragg condition for each voltage in the table of data: A₁ =di and Ad where the distance between the graphite foil and screen is L = 13.5cm and the lattice plane spacings are d₁ = 0.213 nm and d₂ = 0.123 nm. 2. Calculate the wavelength A [see Eq. (3)] derived from de Broglie hypothesis for each voltage in the table of data. 3. Present the results of the previous calculations in a table with the table head U, A1, A2 and A. Comments. Is de Broglie's equation valid? b. Determination of lattice plane spacings of graphite 1. Plot the experimental data D, versus 1/√ and Dy versus 1/√ on the same coordinate axes. 2. Fit the dependences by straight lines passing through the origin. Denote ky and ky the slopes. 3. Calculate the estimated standard deviations in the slopes, Ak; and Akz 4. Calculate d; and d₂ by use of Eq. (11), where k is substituted by ki and k₂. 5. Use Ak and Aky to calculate the estimated standard deviations in dy and d₂, respectively. Follow through the analysis carefully, and be sure to use the correct procedure as you change the estimated standard deviation in 1/d to that in d. 8. Write the final results (best estimate ± estimated standard deviation) and compare the experimental values for the spacings to the accepted values. Useful physical constants: h 6.626070 15 x 10-JHz-1 e 1.602 176634 x 10-19 C m 9.109 383 7015(28) x 10-31 kg