Crystallography, diffraction, identifying the pure element

In summary, the problem involves identifying the element in a crystalline sample based on its cubic lattice structure and pure composition. The distances from Bragg peaks are given and the equations for calculating lattice parameters and Bragg's law are provided. Resources and related questions are also listed.
  • #1
adamaero
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1

Homework Statement


The only things you know about the sample are: (i) it has some kind of cubic lattice, and (ii) it is a pure element. Identify the element in the crystalline sample.
SC: R = 0.5a
FCC: R = 0.25a√2
BCC: R = 0.25a√3

Distances from Bragg peaks:
d1 = 0.2037 nm
d2 = 0.1746 nm
d3 = 0.1244 nm

Homework Equations


n λ = 2dhklsin θ

d = a/√(h2+k2+l2)

The Attempt at a Solution


Assuming the above is correct, I'm stuck.
I think I need a table or something of each element. Extra
Related questions
Related complete problems
  • https://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to-solid-state-chemistry-fall-2010/crystalline-materials/self-assessment-crystalline-materials/MIT3_091SCF09_sa4_supp_sol.pdf
  • https://ocw.mit.edu/courses/materials-science-and-engineering/3-091sc-introduction-to-solid-state-chemistry-fall-2010/crystalline-materials/16-crystallographic-notation-x-rays/MIT3_091SCF09_hw16_sol.pdf
 
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  • #2

1. What is crystallography?

Crystallography is the scientific study of crystals and their structure. It involves the use of X-ray diffraction and other techniques to determine the arrangement of atoms within a crystal, as well as its physical and chemical properties.

2. How does X-ray diffraction work?

X-ray diffraction is a technique used to study the atomic and molecular structure of crystals. It involves shining a beam of X-rays onto a crystal, which causes the X-rays to diffract, or scatter, in different directions. By analyzing the pattern of diffraction, scientists can determine the arrangement of atoms within the crystal.

3. How can crystallography help identify a pure element?

Crystallography can help identify a pure element by revealing the arrangement of atoms within a crystal. Each element has a unique atomic structure, so by analyzing the crystal structure, scientists can determine the identity of the element. Additionally, crystallography can also provide information about the physical and chemical properties of the element, further aiding in its identification.

4. What are some common techniques used in crystallography?

Some common techniques used in crystallography include X-ray diffraction, electron diffraction, neutron diffraction, and optical microscopy. Each of these methods provides different types of information about the crystal structure and can be used in combination for a more comprehensive analysis.

5. Can crystallography be used to study non-crystalline materials?

Yes, crystallography can also be used to study non-crystalline materials such as glasses, liquids, and amorphous solids. However, since these materials do not have a regular, repeating atomic structure, different techniques and methods may need to be used compared to studying crystalline materials.

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