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Viefleur [7K]
3 years ago
14

A topaz crystal has an interplanar spacing (d) of 1.36 Å (1 Å =1×10^[−10] m). Calculate the wavelength of the X-ray that should

be used if θ = 15° (assume n = 1).

Chemistry
1 answer:
bija089 [108]3 years ago
7 0

Answer:

7.0*10-11m or 70Å

Explanation:

From Bragg's equation, w=2dsinx/n

Since all the parameters are specified in the question, we can easily go ahead to obtain the wavelength but we must convert the spacing given in angstroms to meters using the conversion factor provided as shown in the solution below:

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<em>Fe: 2a = c</em>

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The last step is assign a value to a letter. I, for example, will say that <em>a is 1, </em>and then find the values for the others letters, thus:

<em>Fe: 2a = c </em>if <em>a=1; c=2</em>

<em>O: 3a + b = 2d </em>if <em>a=1 → 3+b = 2d</em>

As b = d → <em>3+d = 2d; 3 = 2d - d; </em>3=d and 3=b

Thus, the balanced equation is:

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I hope it helps!

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