- #1

ShotgunMatador

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## Homework Statement

X-rays of wavelength λ are incident on a cubic crystal with spacing

*d*as shown in the figure. The incident angle is fixed at θ

_{i}degrees. A detector is rotated from perpendicular to the 100 plane (90 degrees (grazing)) until the first maximum is detected at θ

_{s}degrees due to interference from the 100 plane. What is the lattice spacing,

*d*, of the cubic crystal?

## Homework Equations

Bragg's Law : mλ=2dsinθ

## The Attempt at a Solution

Known: m=1, λ

The angle to be used for Bragg's Law is not the incident/reflected angle because θ

_{s}does not equal θ

_{i}. So I figured out the angle between the incoming and reflected ray (180-θ

_{s}-θ

_{i}=θ

_{split}) and that would not be the angle we are looking for either. So i divided that θ

_{split}by 2, and subtracted it from 90. To find what I thought was the correct angle but apparently not.

If this is not the angle, what is and how do i get to it?

Is m≠1 despite the problem stating "first order maximum"?

is my θ

_{s}not the correct angle?

Thank you in advance. also sorry about the images, they work better if you drag them into a new tab.