(a)
Interpretation:
Wavelength of first order and second order diffraction for an incident angle of 45° and reflection of 25° is to be determined.
Concept introduction:
Calculation of wavelength is done by using the following formula:
Here,
m= diffraction order
λ= wavelength
i = angle of incidence
r = angle of reflection
d = spacing
(b)
Interpretation:
Wavelength of first order and second order diffraction for an incident angle of 45° and reflection of 0° is to be determined.
Concept introduction:
Calculation of wavelength is done by using the following formula:
Here,
m= diffraction order
λ= wavelength
i = angle of incidence
r = angle of reflection
d = spacing
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Chapter 7 Solutions
Principles of Instrumental Analysis
- A first-order (n = 1) reflection from the plane of a cubic crystal was observed at a glancing angle of 11.2° when Cu Kα X-rays (λ = 154 pm) were used. What is the interatomic distance between the atoms in the unit cell? Answer in pm.arrow_forwardA first order reflection from the (123) planes of a cubic crystal was observed at an angle of e = 24.8 ° when X-rays of wavelength 154 pm were used. 1 h k? 1? d u? b? na = 2d sin e -= - hki (i) Determine the length of the side of the unit cell.arrow_forwardYou are given the following data : Peak order (n) Diffraction Angle (2q) 1 38.6 2 55.7 3 70.0 Determine whether sample is fcc or bcc or neither. Give reason for your choice.arrow_forward
- What is the value of 0 for the first diffraction line (n = 1) in bcc iron (atomic radius 126 pm) when the X-ray wavelength is 58.0 pm? Hint: Consider the closest set of lattice planes.arrow_forwardDetermine the number of Frenkel and Schottky defects per cubic centimeter of a metal chloride at 40 deg Celcius. The energy for defect formation is 3.2 eV, and the density of the metal chloride is 7.80 g/mL at 40 deg Celcius.arrow_forward2. A spherical metallic nanoparticle of diameter di = 100 nm melts at Tmi = 900 K. A smaller spherical nanoparticle of the same metal, of diameter dz = 50 nm, melts at Tm2 = 800 K. a) Explain why the smaller nanoparticle melts at a lower temperature. b) Calculate the melting point of the metal in bulk form.arrow_forward
- 3arrow_forwardBriefly discuss the effect of thermodynamic on polymerization.arrow_forward3) The figure below shows an x-ray diffraction pattern for erbium nitride (ErN) taken using a diffractometer mono-chromatic x-radiation having a wavelength of 0.15418 nm; each diffraction peak on the pattern has been indexed. Assume the order of diffraction is 1. 1- Compute the interplanar spacing for only three indexed planes. 2- Determine the lattice parameter.arrow_forward
- (b) A sample of titanium monoxide has a unit cell dimension of 4.182 A, a Ti/O ratio of 1.005 and an experimental density of 5.764 x10° kg m. Determine whether the defect in this sample is due to Ti cation excess or oxide vacancies.arrow_forward5. For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 46.21° for BCC iron when monochromatic radiation having a wavelength of 0.0711 nm is used?arrow_forwardWhen the temperature is 20 ° C, water flows through an ostwald viscometer at 363 s, whose density and viscosity are given as 0.9982 g / cm3 and 1,000 cP, respectively. The flow time of OF2 from the same viscometer at -145.8 ° C was measured as 68 s. Since the density of OF2 at this temperature is 1.523 g / cm3, what is the value of its viscosity?arrow_forward
- Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning