2019 redefinition of the SI base units Updated +Created
web.archive.org/web/20181119214326/https://www.bipm.org/utils/common/pdf/CGPM-2018/26th-CGPM-Resolutions.pdf gives it in raw:
  • the unperturbed ground state hyperfine transition frequency of the caesium-133 atom is 9 192 631 770 Hz
  • the speed of light in vacuum c is 299 792 458 m/s
  • the Planck constant h is 6.626 070 15 × J s
  • the elementary charge e is 1.602 176 634 × C
  • the Boltzmann constant k is 1.380 649 × J/K
  • the Avogadro constant NA is 6.022 140 76 × mol
  • the luminous efficacy of monochromatic radiation of frequency 540 × 1012 Hz, Kcd, is 683 lm/W,
The breakdown is:
  • actually use some physical constant:
    • the unperturbed ground state hyperfine transition frequency of the caesium-133 atom is 9 192 631 770 Hz
      Defines the second in terms of caesium-133 experiments. The beauty of this definition is that we only have to count an integer number of discrete events, which is what allows us to make things precise.
    • the speed of light in vacuum c is 299 792 458 m/s
      Defines the meter in terms of speed of light experiments. We already had the second from the previous definition.
    • the Planck constant h is 6.626 070 15 × J s
      Defines the kilogram in terms of the Planck constant.
    • the elementary charge e is 1.602 176 634 × C
      Defines the Coulomb in terms of the electron charge.
  • arbitrary definitions based on the above just to match historical values as well as possible:
    • the Boltzmann constant k is 1.380 649 × J/K
      Arbitrarily defines temperature from previously defined energy (J) to match historical values.
    • the Avogadro constant NA is 6.022 140 76 × mol
      Arbitrarily defines the mol to match historical values. In particular, the kilogram is not an exact multiple of the weight of an atom of hydrogen.
    • the luminous efficacy of monochromatic radiation of frequency 540 × 1012 Hz, Kcd, is 683 lm/W
      Arbitrarily defines the Candela in terms of previous values to match historical records. The most useless unit comes last as you'd expect.
Dimension (system of units) Updated +Created
A dimension in a system of units is something like length, weight or time, without considering how to assign numerical values ot them, which requires units of measurement such as the meter, kilogram or second.
Talking about dimensions can be useful when explaining new derived units without worrying about the exact units involved. See e.g. this table: en.wikipedia.org/w/index.php?title=Lumen_(unit)&oldid=1233810964#SI_photometric_units