Quantum levels and electron configurations?

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SUMMARY

The discussion revolves around the unique quantum rules governing electron configurations in an alien universe. Key differences include a restriction to a single electron per orbital and specific ranges for magnetic quantum numbers (ml). The maximum number of electrons per quantum level (n) is determined for levels 1 through 6, and the electron configurations for elements from Carbon to Vanadium are outlined based on these rules. Additionally, the first four halogen elements are identified, along with their quantum number combinations.

PREREQUISITES
  • Understanding of quantum numbers: principal (n), azimuthal (l), magnetic (ml), and spin (ms).
  • Familiarity with electron configurations and the periodic table of elements.
  • Knowledge of the differences in quantum mechanics between universes.
  • Basic chemistry concepts related to atomic structure and electron arrangement.
NEXT STEPS
  • Research the implications of single-electron orbitals on chemical bonding and reactivity.
  • Explore the concept of quantum numbers in various atomic models.
  • Study the periodic trends of elements under different quantum mechanical rules.
  • Investigate the properties of halogens in alternative universes with modified quantum mechanics.
USEFUL FOR

Chemistry students, physicists, and anyone interested in theoretical atomic models and the implications of altered quantum mechanics on elemental properties.

helpmeplease2
I can't do this problem at all, can anyone help? Thanks.


During a trip to Roswell, New Mexico, you find yourself at a cocktail party
with aliens from another universe. You are at a loss for conversation so you offer to
reconstruct the periodic table from memory (chemistry being the most exciting thing you
can think of). The aliens are stupefied at your choice of conversation, but inform you that
in their universe, certain key rules governing the properties of atoms are different. Not
wishing to offend your charming hosts, you naturally take their physical laws into
consideration. They are:

• We have the same rules for n and l
• The only allowed values for ml are from −2l to +2l
• Only one value is allowed for ms , that is, each orbital may hold only 1 electron.
• We have the same rule for orbital energies (i.e. 4s lower in energy than 3d, etc.)

Use the rules above to answer the following questions:

a. What is the maximum number of electrons held in each alien quantum
level, n, for n = 1 through n = 6?

b. List all the electron configurations for the alien version of the elements
from Carbon through Vanadium. Assume each element still has the same number
of electrons.

c. What are the first 4 alien halogen elements?
 
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Try to list all possible combinations of quantum numbers using these rule.

Start with n=1 - what are acceptable values of l? For each n/l pair - what are acceptable values of m? ms?

Then move to n=2.
 

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