Titanium Electron Configuration:
Ti (atomic # = 22): [Ar]4s23d2
• principal quantum number (n) → energy level in orbitals and its value could be any positive integer starting from 1 to infinity
• angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)
▪ Each ℓ value corresponds to a subshell:
ℓ = 0 → s subshell
ℓ = 1 → p subshell
ℓ = 2 → d subshell
ℓ = 3 → f subshell
• magnetic quantum number (mℓ) → range of values from -ℓ to + ℓ
▪ The mℓ values (for each ℓ) represent an orbital for the subshell:
s subshell→ 1 orbital
p subshell→ 3 orbitals
d subshell → 5 orbitals
f subshell → 7 orbitals
• spin quantum number (ms) → can only have two possible values +½ (spin up electron) or –½ (spin down electrons)
• Note that 1 orbital can hold a maximum of 2 electrons → 1 spin up (+½) and 1 spin down (–½)
For the 2s electrons:
• 4s → n = 4
▪ s subshell → ℓ = 0
• for mℓ→ range of values from -ℓ to + ℓ
▪ since s subshell has only one orbital: mℓ → has only one value
▪ mℓ = 0
• 1 spin up electron → ms = +½
• 1 spin down electron → ms = –½
Possible Quantum Numbers:
• n = 4 ℓ = 0 mℓ = 0 ms = +½
• n = 4 ℓ = 0 mℓ = 0 ms = –½
For the 3d electrons:
Give a possible set of values of the four quantum numbers for the 4s and 3d electrons in titanium.
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Based on our data, we think this problem is relevant for Professor Awino's class at ISU.
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Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.