6-31G basis set of Silicon and the p-orbitals

Following is the 6-31G basis set of silicon. The numbers in the bracket denotes power raised to 10, e.g. $1.231(+3)=1.231 \* 10^3$


[![enter image description here](https://i.stack.imgur.com/Kqpzg.png)](https://i.stack.imgur.com/Kqpzg.png)


Now silicon is $1s^22s^22p\_x^22p\_y^22p\_z^23s^23p\_x^13p\_y^1$.


Now I am trying to understand the basis for 2SP and 3SP.


Lets consider 2SP. The exponent is identical for both $2s$ and $2p$ orbitals for ease of calculation. But I can construct only one 2p orbital from the information given in the table. There is no distinction between $2p\_x,2p\_y,2p\_z$, atleast the p-coefficients are supposed to be different. Moreover each atomic orbital are going to contain two electrons at most. If there is only one $2p$ atomic orbital defined, in that case I can only insert two electrons in it. So then rest of the four electrons of $2p$ subshell go unaccounted for becuase I can not insert six electrons in a single atomic orbital, i.e. $2p\_x$, lets say.


I am missing something. Can someone kindly help me out here?


**EDIT:**


Or is it that at $2p$ level, all $2p\_x,2p\_y,2p\_z$ have the same functional form.


And then at $3p$ level, I have $3p,3p^{'}$ defined.


Then $3p$= $-0.0151774e^{1.65} + 0.0275139e^{5.4}+0.783e^{2.044}$
and $3p^{'}$= $e^{0.07238}$


Finally,


$3p\_x=c\_1\*3p + c\_2\*3p^{'}$


$3p\_y=c\_3\*3p + c\_4\*3p^{'}$


$3p\_z=c\_5\*3p + c\_6\*3p^{'}$


Where all the coefficients $c\_1, c\_2,...,c\_6$ are different.


This is the only explanation I can think of the above table. Can someone drop a pointer please?


