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考前速记 Last Minute Summary

核心公式 Key Formulas

E=hf=hcλE = hf = \frac{hc}{\lambda} p=Ec=hλp = \frac{E}{c} = \frac{h}{\lambda} hf=Φ+12mvmax2(Photoelectric effect)hf = \Phi + \frac12 mv_{\text{max}}^2 \quad \text{(Photoelectric effect)} λ=hp(de Broglie)\lambda = \frac{h}{p} \quad \text{(de Broglie)} hf=E1E2(Energy levels)hf = E_1 - E_2 \quad \text{(Energy levels)}

常数 Memorise

  • h=6.63×1034h = 6.63 \times 10^{-34} J s
  • e=1.60×1019e = 1.60 \times 10^{-19} C
  • 11 eV =1.60×1019= 1.60 \times 10^{-19} J
  • c=3.00×108c = 3.00 \times 10^8 m s1^{-1}
  • me=9.11×1031m_e = 9.11 \times 10^{-31} kg

考前 Checklist

  • eV ↔ J 转换 (×1.60×1019\times 1.60 \times 10^{-19})
  • nm → m (×109\times 10^{-9})
  • f0=Φ/hf_0 = \Phi/h (threshold frequency)
  • Photon: quantum of electromagnetic radiation
  • Work function: minimum energy to remove electron (from surface)
  • Higher intensity → more photons → more photoelectrons → larger current
  • Higher frequency → more energy per photon → larger EK,maxE_{K,\text{max}}
  • de Broglie: λ=h/p\lambda = h/p, moving particle has wave nature
  • Electron diffraction: evidence for wave nature of particles
  • Discrete energy levels → line spectra