Diffraction

  • 1. Prelab1:

The line density is

,

then the spacing is therefore,

.

When expressed in "±" form, it is

.

  • 2. Prelab2:

Eq. (3.1) in the lab assignment is,

.

If we plot dsinθ vs n, then the slope will be λ, and its uncertainty can be gotten directly from the LINEST fit result.

Or, we can plot sinθ vs n, then the slope m = λ/d, and then,

.

  • 3. Prelab3:

,

For your lab report,

,

the above equation is what I got from Mathematica, which is the same as Eq. 4.1 in the assignment.

Mathematica Code:

  • 4. Uncertainty of dsinθ:

,

since sinθ is now treated as a single variable!