Periodic Table Notation

I decided to define the notation based on the periodic table, which is ordered according to the atomic number.

Definition

The notation has the format using capital letters first. Digraphs use a capital letter followed by a small letter. The expressions in this notation are of this form:

(HHeLiBeBVNOFNeNaMgAl ...)

Here "HHeLiBeBVNOFNeNaMgAl ..." are a sequence of actual letters in the Latin alphabet. Wrapping p{} are simply to distinguish the expressions from actual words. p{} is also a valid expression. An example of a valid expression is p{HHeLi}.

Here is the set of the symbols to represent the number:

(H, He, Li, Be, B, C, N, O, F, Ne, Na, Mg, Al, Si, P, S, Cl, Ar, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, As, Se, Br, Kr, Rb, Sr, Y, Zr, Nb, Mo, Tc, Ru, Rh, Pd, Ag, Cd, In, Sn, Sb, Te, I, Xe, Cs, Ba, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Ly, Hf, Ta, W, Re, Os, Ir, Pt, Au, Hg, Tl, Pb, Bi, Po, At, Rn, Fr, Ra, Ac, Th, Pa, U, Np, Pu, Am, Cm, Bk, Cf, Es, Fm, Md, No, Lr, Rf, Db, Sg, Bh, Hs, Mt, Ds, Rg, Cn, Nh, Fl, Mc, Lv, Ts, Og)

where:

Rules

Examples