Atomic radius - core charge vs energy level

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SUMMARY

The discussion centers on the factors influencing atomic radius, specifically the core charge and energy levels of electrons. It establishes that Beryllium has a smaller atomic radius than Lithium due to its greater core charge. Furthermore, it concludes that Nitrogen has a smaller radius than Beryllium despite having a greater core charge, attributed to the presence of electrons in the 2p subshell compared to Beryllium's 2s subshell. The use of hydrogen-like radial wavefunctions is mentioned as a qualitative tool for examining atomic radius behavior.

PREREQUISITES
  • Understanding of atomic structure and electron configurations
  • Familiarity with core charge and its effect on atomic size
  • Knowledge of subshells, specifically 2s and 2p orbitals
  • Basic grasp of hydrogen-like radial wavefunctions
NEXT STEPS
  • Research the concept of core charge in detail
  • Study the differences between s and p subshells in atomic structure
  • Explore hydrogen-like atomic models and their applications
  • Examine the role of electron shielding in determining atomic radius
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Chemistry students, educators, and researchers interested in atomic theory and the factors affecting atomic size.

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which one is more important in determining the size of an atom?

for example - Berilium has a smaller radius than Lithium because it has a greater core charge, but what about Nitrogen vs Berilium? Nitrogen has a greater core charge, but it has electrons in the 2p subshell whereas Berilium only goes to 2s.

Thanks in advance
 
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Hi ...,

Nitrogen has smaller radius than Berylium because of the core charge.

Hidrogen-like radial wavefunctions, although not valid for this case, can be used to qualitaively examine the behaviour of the radius (only in this little atoms, be carefull with this). If you look at the radial probability of a 2p state the maximum is not at higher radius value than the 2s, they are similar.

This is a 2s hidrogen-like radial probability graphic (for Z=4) and the corresponding contour plot in the xy plane, and the 2p plot for Z=7. Look at the maximums of prob. but don´t forget theese are hidrogen-like functions
 

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