Incoprea Theory
Vol. XIII · 29 subfields

Theory 24/Crystal Growth

Defects Follow a Roughness Ratio

The claim

The density of growth defects is set by the ratio of growth rate to interface roughness, so faster growth is cleaner on a rough interface and dirtier on a smooth one.

01The mechanism

Defects are trapped when the growth front advances faster than it can smooth; the ratio of rate to roughness sets whether trapping occurs.

02Predictions

  • P1Defect density should track the ratio.
  • P2Growth rate alone should mispredict.

03Refutation

Defects tracking growth rate would remove the roughness term.