Trouble Understanding Suborbitals

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The discussion centers on the challenges faced by a student new to college-level chemistry, particularly in understanding concepts like orbitals, suborbitals, and the Periodic Table. The student is grappling with a homework question about which orbital has the highest energy among 4px, 3px, 2px, and 5px, with a correct assumption that 5px has the highest energy due to its higher principal quantum number. The conversation delves into the complexities of energy levels in multi-electron atoms, noting that energy is influenced not only by the principal quantum number but also by angular momentum, which affects how close electrons are to the nucleus. The discussion references Koopmann's theorem, indicating that ionization energy correlates with the energy of the highest occupied orbital, and mentions Mulliken's definition of electronegativity, which relates to the average energy of the highest occupied and lowest unoccupied orbitals. The student seeks guidance on visualizing and processing these concepts more effectively.
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Hi. I'm currently taking my first chemistry course in at a college level. I'm still a bit new to it, alongside the fact that I missed a few weeks due to being out of town, but I'm excited to get into it. I want to have one of those "AHA" moments like I've experienced with math. Only thing is it seems to be quite a bit tougher. Right now I'm still trying to learn orbitals, suborbitals, and reading the Periodic Table of Elements.

One of my homework questions is asking me which of these orbitals has the highest energy: 4px, 3px, 2px, and 5px. I am guessing that it would be 5px assuming that we're still at a higher level orbital, but what about ionization, atomic radius, and electronegativity? How can I take all of these into account. Sorry if my question seems broad, but I'm honestly still trying to figure out where to start, and how I can visualize this and process it more efficiently. I'm lost...
 
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At least in hydrogen, the energy depends only on the main quantum number n as ##E\sim -1/n^2##. In many electron atoms, the energy also depends on the angular momentum quantum number, as orbitals with a lower angular momentum have a higher probability to be found near the nucleus where the charge of the nucleus is less shielded by the other electrons. Hence attraction and binding energy is also stronger.
According to Koopmanns theorem, the ionisation energy is approximately the negative of the energy of the highests occupied orbital in an atom.
The electronegativity according to Mulliken is proportional to the average energy of the highest occupied and the lowest unoccupied orbital.
 
I came.across a headline and read some of the article, so I was curious. Scientists discover that gold is a 'reactive metal' by accidentally creating a new material in the lab https://www.earth.com/news/discovery-that-gold-is-reactive-metal-by-creating-gold-hydride-in-lab-experiment/ From SLAC - A SLAC team unexpectedly formed gold hydride in an experiment that could pave the way for studying materials under extreme conditions like those found inside certain planets and stars undergoing...

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