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Law

Arrhenius retention

The ridge height is inside an exponent, so a small increase gives a huge change.

Energy barrier
the height of the ridge
Temperature
temperature
Boltzmann constant
a physical constant

How it behaves

One input on the horizontal axis, the others held fixed.

Data table
Retention relative to a design at E_b/kT = 40
Barrier height E_b / kTRetention (× the design at 40)
300×
30.40×
30.80×
31.10×
31.50×
31.90×
32.30×
32.60.001×
330.001×
33.40.001×
33.80.002×
34.10.003×
34.50.004×
34.90.006×
35.30.009×
35.60.013×
360.018×
36.40.027×
36.80.039×
37.10.056×
37.50.082×
37.90.119×
38.30.174×
38.60.253×
390.368×
39.40.535×
39.80.779×
40.11.13×
40.51.65×
40.92.4×
41.33.49×
41.65.08×
427.39×
42.410.8×
42.815.6×
43.122.8×
43.533.1×
43.948.2×
44.370.1×
44.6102×
45148×
45.4216×
45.8314×
46.1457×
46.5665×
46.9968×
47.31,410×
47.62,050×
482,980×
48.44,340×
48.86,310×
49.19,180×
49.513,400×
49.919,400×
50.328,300×
50.641,200×
5159,900×
51.487,100×
51.8127,000×
52.1184,000×
52.5268,000×
52.9390,000×
53.3568,000×
53.6827,000×
541,200,000×
54.41,750,000×
54.82,550,000×
55.13,700,000×
55.55,390,000×
55.97,840,000×
56.311,400,000×
56.616,600,000×
5724,200,000×
57.435,100,000×
57.851,100,000×
58.174,400,000×
58.5108,000,000×
58.9158,000,000×
59.3229,000,000×
59.6333,000,000×
60485,000,000×

Worked examples, recomputed

Every number the mechanisms quote for this relationship is recomputed from it, so none of them disagrees with it.

Where it appears

Each mechanism states it in its own names. The general symbol each name stands for is shown with it.

Amdahl's Law

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