[VynnyV]

I have a project where I have to extend the periodic table by adding 54 elements and predicting their properties.
For this project I have to also provide the electron configuration for each, as well as what sub-shell/shell the valence electron is located in. I've filled the first 54 elements, reaching the 6g sub shell. Here's how I've been adding the elements:

From my understanding of the Aufbau principle, I used the following filling order:
7s^x5f^x6d^x7p^x
8s^x5g^x6f^x7d^x8p^x
9s^x6g^x7f^x8d^x9p^x

I cofirmed this using madelungs rule. For example, 7s has a value of 7, while 5f has a value of 8, so 7s will first. 5f will fill before 6d because n is lower in 5f.

Following the trends in the periodic table, it would take two rows of g shells before an h shell can open up. So elements 171 and 172 would end up in the 6g shell. I just want to make sure that I'm correct in this filling order as far as grade 12 chemistry is concerned. Is there another way I can fit elements 171 and 172 without having to use the 6g shell?

Here's the electron configurations I had for some elements for reference:
Element 138: [Og]8s²5g¹⁸   
Element 152: [Og]8s²5g¹⁸6f¹⁴
Element 162: [Og]8s²5g¹⁸6f¹⁴7d¹⁰
Element 168: [Og]8s²5g¹⁸6f¹⁴7d¹⁰8p⁶
Element 170: [Og]8s²5g¹⁸6f¹⁴7d¹⁰8p⁶9s²
Element 171: [Og]8s²5g¹⁸6f¹⁴7d¹⁰8p⁶9s²6g¹
Element 172: [Og]8s²5g¹⁸6f¹⁴7d¹⁰8p⁶9s²6g²

Is this correct as far as the trends in the periodic table are concerned? Does this way of adding elements violate any 'rules' (like alkali metals having a half filled principle energy level). Again, this is only grade 12 chemistry. I'm aware orbitals do not fill like this at all, but I'm following the trends I was taught in the s, p, and d orbitals.

Any help would be greatly appreciated. If I have forgotten anything, please let me know as its my first time posting here.

[Borek]

General approach looks OK and yes, 6g² looks correct as far as Aufbau principle is concerned.

Not that it matters much. For heavier elements the order of filling orbitals gets more and more complicated, and the configuration gets harder and harder to predict as relativistic effects get more and more important. But that's mostly a moot and definitely beyond what you are expected to do on HS level

[DrCMS]

I have a project where I have to extend the periodic table by adding 54 elements and predicting their properties.

What a bizarre and pointless project.