Initial look at the TeachSpin hyperfine apparatus.

First Data


Peak 1

Dip t1 (ms) t2 (ms)
1 -3.6 -3.66
2 -3.16 -3.22
3 -2.72 -2.48
4 -2.42 -2.48
5 -1.98 -2.04
6 -1.24 -1.30

Measured $\Delta t$ between lines 1,2 and 2,3.

1,2 = 0.88ms

2,3 = 1.48ms

Calculated energy differences between lines 1,2 and 2,3.

1,2 = 147 MHz

2,3 = 247 MHz

Peak 2

Dip t1 (ms) t2 (ms)
1 -1.59 -1.77
2 -1.42 -1.6
3 -1.25 -1.43
4 -1.095 -1.275
5 -0.930 -1.11
6 -0.61 -0.78

Measured $\Delta t$ between lines 1,2 and 2,3.

1,2 = 0.34ms

2,3 = 0.64ms

Calculated energy differences between lines 1,2 and 2,3.

1,2 = 56.8 MHz

2,3 = 107 MHz

Interferometer

$\Delta \phi = \frac{4 \pi \Delta f}{c} (l_{1} - l_{2})$

Frequency sweep calculated from average of first 4 interference cycles as this is the portion of the sweep where most of the spectra were collected. $\frac{\Delta f}{\Delta t} = 1.67x10^{11} \frac{Hz}{s}$

l1 = 47mm

l2 = 421mm

tmax (ms) tmin (ms)
0.0 1.2
2.4 3.6
4.8 6.0
7.0 8.2
9.4 10.4
11.6 12.6
13.6 14.8
15.8 16.8
18.0 19.0
20.0 21.0

Energy Level Diagram