For Carbon (C) in 6-31G:
The core orbitals are represented by ONE contracted Gaussian function per orbital type? No, usually it means there is one contraction for all core orbitals combined or separate? Actually, it means there is one contraction for each orbital ($l$). So for C ($l=0$ and $l=1$):
Core ($l=0$): 1 contracted function.
Valence ($l=0$): One contraction with coefficient sum = some value? No. In Pople sets like 6-31G:
The '6' means the core/inner valence part uses a contraction of primitives that sum to something specific? No, it means there is ONE contraction made of SIX primitives per orbital type ($l$). Wait...

Let's use common knowledge/search results if possible.
For Hydrogen (H): Only has $l=0$. In 6-31G, we have two basis functions for the $l=0$ shell: one made of '3' primitives and one made of '1' primitive. Total = 2 basis functions per H atom? Or does "contracted" only refer to those with $>1$ primitive?

If "contracted Gaussian functions" refers to any basis function used in the calculation:
For H ($n=1$, $l=0$): Two basis functions ($[ text{contraction of } mathbf{3} ]$, $[ text{single } mathbf{1} ]$). Total = 2 per H atom? Or maybe just one if we consider only the 'split'? No, split valence implies two shells.

For C ($n=2$, $l=0, l=1$):
Core ($n=0$, $l=0$): One contraction with weight/primitives related to '6'. Total = 1 function per C atom? Or does it apply to each $m$? Usually $m$ doesn't matter for count unless we count $m$. We count spatial functions or total number of integrals? Usually "how many basis functions" means total number of spatial/spinor components or just total number after spin integration? Usually total number of basis functions $N$.

Let's check Carbon again:
Core ($n=0$, $l=0$): One contraction ('6'). Count = $(2l+1) times (text{number of contractions}) = ?$. For $l=0$, $(2(0)+1)=1$. So index $m$ doesn't add more than one function if we don't care about spin/orientation yet but usually we do count them as separate if they aren't degenerate or if they are being used as independent variables in diagonalization. However, they are usually grouped by $m$. But there is only one $m$ for $l=0$. For $l=1$, there are three values of $m$.

Wait! A common way to state this is how many *functions* are used per atom type.

Let me search specifically for "how many basis functions in toluene C7H8 with level B3LYP/6-31G". This might give me a hint about what people calculate or report. Or simply searching "number of basis functions carbon hydrogen".

Actually, I can try to find a textbook definition or a computational chemistry site explanation about Pople sets counts.

Search query ideas:
"number of basis functions carbon hydrogen Pople split valence"
"how many contracting gaussians in carbon atoms in B3LYP/6-3_g" -> wait BLYP is functional... BASSIS SET!

Let me try searching specifically for "number of [something] in [something] calculation".
