PH365, AY23-2 Modern Physics Reference Card (PRC) v1.0 Special Relativity π₯ πΎ π₯ π£π‘ , π¦ π 1 π’ βπ₯ πΈ π π₯ πΈ πΈ π π πΎππ ππ£ ππ 1 π π π πβ π π π ππ₯ πΏβ β β β 1 πΏ πβ β πβ β π π 1 π π β π β π 2π ππ₯ πΎ π½β |β π πβ πΏβ 1, 2, 3, … 0, 1, 2, … 1 π sin k πΏ 4πΈ πΈ π 1 π sinh π πΏ πΈ 4πΈ π π π βπ cos π 1 π π½β π | β π π 1 Special Topics π£∗ π π£Μ π 2π πΈ β k for πΈ π΄ exp πΉ for πΈ 1 π π£ π π π β β π, π, π π πΈ 2π π β πΈ ⟨π⟩ β π βπ π π πβ β ππ π β π |π β π, π π΅ π ππ π 1 βπ 2 π ππ H π‘ ππ π π ln 2 π / π π π π π π ππ π‘ ππ‘ ππ π‘ π π‘ π | Quantum Numbers: π 1, 2, 3, … β 0, 1, 2, 3, … , π 1 πβ 0, 1, 2, 3, … , β π π πΈ πΉ Nuclear Physics π ππ β 1/ππ 1 πΈ β β β 1 2πΌ πΈ π sin π ππ ππ ππ ππ π β π½ exp π½ πΈ π π π π½πΈ 1 πΉ Hydrogen Atom 13.6 eV π βπ π π π π π πΈ ππ π m⋅K βπ 1 πβ π πΈ 10 β 1 ππ π π ππ‘ βπ πππ 2.898 π πΜ g 4 π π π Δπ Ψ ∗ π Ψ ππ₯ π β 2ππΏ π π πΈ Wave-Particle Duality π πβ πΈ ππ ππ π Ψ ∗ Ψ ππ₯ π π₯ f 3 Name: K L M N O n 1 2 3 4 5 subshell capacity: 2 2β 1 selection rules: Δβ 1 Δπβ 0, 1 1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f 6d 7p 1 π Shell Notation s p d 0 1 2 Name: β πΈπ π₯ π βπ‘ πΎππ πΈ π₯ πΎππ’β πβ π π₯ π π₯ ⟨π⟩ 1 π½ π 1βπ½ π πΎ π π β ΔπΈΔπ‘ Ψ ∗ Ψ ππ₯ π½ π£ π£π’ π 1 βπ β π π π₯ 2π ππ₯ πΏ πΎ πΏ πΎπ β Δπ Δπ₯ 1 πΎ π’ π§ π£π₯ π π£ π π½ π¦, π§ πΎ π‘ π‘ Atomic Physics Quantum Physics π π π π 1 π π π π π PH365, AY22-1 Modern Physics Reference Card (PRC) v1.0 Physical Constants and Conversion Factors Quantity alpha particle mass Symbol π angstrom atomic mass unit (amu) Avogadro constant Bohr magneton Å u π deuteron mass πβ 2π 4ππ β π π π k β π π π 1 π 4ππ π electron mass π electron-volt elementary charge helium atomic mass hydrogen atomic mass neutron mass eV e π π π Bohr radius Boltzmann constant Compton wavelength Coulomb constant nuclear magneton π πβ 2π π permeability of vacuum permittivity of vacuum Planck constant π (multiplied by c) reduced Planck constant βπ β β/2π π β (multiplied by c) proton mass βπ π Rydberg constant π π c speed of light in vacuum Stefan-Boltzmann constant π Value 6.6447 ο΄ 10-27 kg 4.00151 u 3727.37941 MeV/c2 10-10 m 1.66054 ο΄ 10-27 kg 931.494 MeV/c2 6.0221 ο΄ 1023 mol-1 9.2740 ο΄ 10-24 J/T 5.7884 ο΄ 10-5 eV/T 5.2918 ο΄ 10-11 m 1.380649 ο΄ 10-23 J/K 2.4263 ο΄ 10-12 m 8.9876 ο΄ 109 Nοm2/C2 3.3436 ο΄ 10-27 kg 2.01355 u 1875.61 MeV/c2 9.1094 ο΄ 10-31 kg 5.4858 ο΄ 10-4 u 0.51100 MeV/c2 1.6022 ο΄ 10-19 J 1.6022 ο΄ 10-19 C 4.002603 u 1.007825 u 1.6749 ο΄ 10-27 kg 1.00866 u 939.57 MeV/c2 5.0508 ο΄ 10-27 J/T 4π × 10-7 N/A2 8.8542 ο΄ 10-12 C2/(Nκm2) 6.6261 ο΄ 10-34 Jοs 4.1357 ο΄ 10-15 eVοs 1239.8 eVοnm 1.0546 ο΄ 10-34 Jοs 6.5821 ο΄ 10-16 eVοs 197.33 eVοnm 1.6726 ο΄ 10-27 kg 1.00728 u 938.27 MeV/c2 1.09678 ο΄ 107 m-1 1.09737 ο΄ 107 m-1 2.9979 ο΄ 108 m/s 5.6704 ο΄ 10-8 W/(m2οK4)