We invent a "wild card element" R to make the book-keeping more clear. R stands for "generic heavy element" in bracket notation, and scales with the solar abundance pattern. One should find, for example, that [Fe/H] = [Fe/R]+[R/H]. Indeed, for any element Q, [Q/H] = [Q/R]+[R/H]. Additionally, [Q/Fe] = [Q/R] - [Fe/R]. As always, square-bracket notation means base-ten logarithmic abundance relative to the solar value.
Input | Output using Anders & Grevesse 1989 | Output using Grevesse & Sauval 1998 | Output using Asplund 2004 |
X: hydrogen mass fraction | X: hydrogen mass fraction | X: hydrogen mass fraction | |
Z/X | Z/X | Z/X | |
Y: helium mass fraction | |||
Z: heavy-element mass fraction | |||
[R/H] | [R/H] | [R/H] | |
[Li/R] | [Li/H] | [Li/H] | [Li/H] |
[Be/R] | [Be/H] | [Be/H] | [Be/H] |
[B/R] | [B/H] | [B/H] | [B/H] |
[C/R] | [C/H] | [C/H] | [C/H] |
[N/R] | [N/H] | [N/H] | [N/H] |
[O/R] | [O/H] | [O/H] | [O/H] |
[F/R] | [F/H] | [F/H] | [F/H] |
[Ne/R] | [Ne/H] | [Ne/H] | [Ne/H] |
[Na/R] | [Na/H] | [Na/H] | [Na/H] |
[Mg/R] | [Mg/H] | [Mg/H] | [Mg/H] |
[Al/R] | [Al/H] | [Al/H] | [Al/H] |
[Si/R] | [Si/H] | [Si/H] | [Si/H] |
[P/R] | [P/H] | [P/H] | [P/H] |
[S/R] | [S/H] | [S/H] | [S/H] |
[Cl/R] | [Cl/H] | [Cl/H] | [Cl/H] |
[Ar/R] | [Ar/H] | [Ar/H] | [Ar/H] |
[K/R] | [K/H] | [K/H] | [K/H] |
[Ca/R] | [Ca/H] | [Ca/H] | [Ca/H] |
[Sc/R] | [Sc/H] | [Sc/H] | [Sc/H] |
[Ti/R] | [Ti/H] | [Ti/H] | [Ti/H] |
[V/R] | [V/H] | [V/H] | [V/H] |
[Cr/R] | [Cr/H] | [Cr/H] | [Cr/H] |
[Mn/R] | [Mn/H] | [Mn/H] | [Mn/H] |
[Fe/R] | [Fe/H] | [Fe/H] | [Fe/H] |
[Co/R] | [Co/H] | [Co/H] | [Co/H] |
[Ni/R] | [Ni/H] | [Ni/H] | [Ni/H] |
[Cu/R] | [Cu/H] | [Cu/H] | [Cu/H] |
[Zn/R] | [Zn/H] | [Zn/H] | [Zn/H] |
[Ga/R] | [Ga/H] | [Ga/H] | [Ga/H] |
[Ge/R] | [Ge/H] | [Ge/H] | [Ge/H] |
[As/R] | [As/H] | [As/H] | [As/H] |
[Se/R] | [Se/H] | [Se/H] | [Se/H] |
[Br/R] | [Br/H] | [Br/H] | [Br/H] |
[Kr/R] | [Kr/H] | [Kr/H] | [Kr/H] |
[Rb/R] | [Rb/H] | [Rb/H] | [Rb/H] |
[Sr/R] | [Sr/H] | [Sr/H] | [Sr/H] |
[Y/R] | [Y/H] | [Y/H] | [Y/H] |
[Zr/R] | [Zr/H] | [Zr/H] | [Zr/H] |
[Nb/R] | [Nb/H] | [Nb/H] | [Nb/H] |
[Mo/R] | [Mo/H] | [Mo/H] | [Mo/H] |
[Ru/R] | [Ru/H] | [Ru/H] | [Ru/H] |
[Rh/R] | [Rh/H] | [Rh/H] | [Rh/H] |
[Pd/R] | [Pd/H] | [Pd/H] | [Pd/H] |
[Ag/R] | [Ag/H] | [Ag/H] | [Ag/H] |
[Cd/R] | [Cd/H] | [Cd/H] | [Cd/H] |
[In/R] | [In/H] | [In/H] | [In/H] |
[Sn/R] | [Sn/H] | [Sn/H] | [Sn/H] |
[Sb/R] | [Sb/H] | [Sb/H] | [Sb/H] |
[Te/R] | [Te/H] | [Te/H] | [Te/H] |
[I/R] | [I/H] | [I/H] | [I/H] |
[Xe/R] | [Xe/H] | [Xe/H] | [Xe/H] |
[Cs/R] | [Cs/H] | [Cs/H] | [Cs/H] |
[Ba/R] | [Ba/H] | [Ba/H] | [Ba/H] |
[La/R] | [La/H] | [La/H] | [La/H] |
[Ce/R] | [Ce/H] | [Ce/H] | [Ce/H] |
[Pr/R] | [Pr/H] | [Pr/H] | [Pr/H] |
[Nd/R] | [Nd/H] | [Nd/H] | [Nd/H] |
[Sm/R] | [Sm/H] | [Sm/H] | [Sm/H] |
[Eu/R] | [Eu/H] | [Eu/H] | [Eu/H] |
[Gd/R] | [Gd/H] | [Gd/H] | [Gd/H] |
[Tb/R] | [Tb/H] | [Tb/H] | [Tb/H] |
[Dy/R] | [Dy/H] | [Dy/H] | [Dy/H] |
[Ho/R] | [Ho/H] | [Ho/H] | [Ho/H] |
[Er/R] | [Er/H] | [Er/H] | [Er/H] |
[Tm/R] | [Tm/H] | [Tm/H] | [Tm/H] |
[Yb/R] | [Yb/H] | [Yb/H] | [Yb/H] |
[Lu/R] | [Lu/H] | [Lu/H] | [Lu/H] |
[Hf/R] | [Hf/H] | [Hf/H] | [Hf/H] |
[Ta/R] | [Ta/H] | [Ta/H] | [Ta/H] |
[W/R] | [W/H] | [W/H] | [W/H] |
[Re/R] | [Re/H] | [Re/H] | [Re/H] |
[Os/R] | [Os/H] | [Os/H] | [Os/H] |
[Ir/R] | [Ir/H] | [Ir/H] | [Ir/H] |
[Pt/R] | [Pt/H] | [Pt/H] | [Pt/H] |
[Au/R] | [Au/H] | [Au/H] | [Au/H] |
[Hg/R] | [Hg/H] | [Hg/H] | [Hg/H] |
[Tl/R] | [Tl/H] | [Tl/H] | [Tl/H] |
[Pb/R] | [Pb/H] | [Pb/H] | [Pb/H] |
[Bi/R] | [Bi/H] | [Bi/H] | [Bi/H] |
[Th/R] | [Th/H] | [Th/H] | [Th/H] |
[U/R] | [U/H] | [U/H] | [U/H] |