De Broglie wavelength and diffraction

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The **wave** behaviour of a moving particle, with wavelength λ = h/p.

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$\lambda = h/p$ (p = mv for a slow particle).

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**Inversely** — bigger momentum gives a **shorter** wavelength.

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**Electron diffraction** — electrons make diffraction patterns off crystals.

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Its momentum is huge, so λ = h/p is far too small (~10⁻³⁴ m) to notice.

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Find **p = mv** first, then **λ = h/p**.

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$\Delta x\,\Delta p \ge h/4\pi$ — position and momentum can't both be exact.

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**No** — it is a fundamental limit of nature, not a measurement fault.

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Their λ (~10⁻¹⁰ m) matches the **atomic spacing**.

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λ is **halved** (p doubles, λ = h/p).

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**metres (m)**.

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Particles like electrons show **both** particle and wave behaviour.