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World 5 · Reciprocal space and Brillouin zones · 8 min · PRO

Large cells, small reciprocal scales

PRO · Crystal Lab

World 5: Reciprocal space and Brillouin zones is part of PRO

The first world of Crystal Lab is free. PRO opens the other 24 lessons in 8 worlds — simulations, quizzes and all.

  • A cell in wavevector space
  • Equivalent Bloch wavevectors
  • A gap from alternating hopping
  • Bands repeat beyond a zone
  • Rotate a crystal, move its reflections
PRO includes
  • All 26 labs — every world, every lesson
  • Practice exams and certificates

$8.33/mo, billed yearly ($99.99) · or $39.99 monthly

Unlock Crystal LabTry the free world
← A cell in wavevector spaceEquivalent Bloch wavevectors →

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