Whoever answers these questions correctly i will mark them brainliest
Answers
1) What are quantum Numbers?
Ans- A quantum number is a value that is used when describing the energy levels available to atoms and molecules. An electron in an atom or ion has four quantum numbers to describe its state and yield solutions to the Schrödinger wave equation for the hydrogen atom.
2) Write possible "I "values for n=3
Ans- n=3 1=0 m=1(0)
I=1 m=3(0,+1,-1)
I=2_m=5(0,+1,-1, +2,-2)
m is calculated by the formula m=21+1.
3) What are degenerate orbitals?
Ans- Electron orbitals having the same energy levels are called degenerate orbitals. As per the Aufbau principle, the lower energy levels are filled before higher energy levels. As per Hund’s rule, degenerate orbitals are filled evenly before electrons are filled into higher energy levels. The Aufbau principle, Pauli’s exclusion principle, and Hund’s rule are the three rules that dictate the manner in which electrons are distributed into orbitals.
4) Write possible "ml" values for /=3.
Ans- The number of values that the magnetic quantum number, my, can take tells you the number of orbitals present in an energy subshell described by the angular momentum quantum number 1.
The values that the magnetic quantum number can take depend on the value of the angular momentum quantum number as described by the relation.
m₁ = { − 1, − (1 -1), ...,- 1, 0, 1, ...,(1 - 1), 1}
In your case, you have
In your case, you have1 = 3
This value of the angular momentum quantum number describes the f subshell. Consequently, you can say that magnetic quantum number can take the following values.
ml = {- 3, -2, 1, 0, 1, 2, 3}
The fact that the magnetic quantum number can take 7 possible values for an f subshell tells you that this subshell holds a total of 7 orbitals, each described by a value of the magnetic quantum number.
1=3 => mI
the f subshell
= {-3,. -2, -1,. 0, 1, 2, 3}
7 values for my = 7 distinct f orbitals.
5) What are the ranges of values for n, I, ml, and ms.
Ans- Well, your set of quantum numbers is not "allowed" for a particular electron because of the value you have for 1, the angular momentum quantum number.
The values the angular momentum quantum number is allowed to take go from zero to n-1, n being the principal quantum number.
So, in your case, if n is equal to 3, the values 1 must take are 0, 1, and 2. Since I is listed as having the value 3, this puts it outside the allowed range.
The value for my can exist, since my, the magnetic
quantum number, ranges from -1, to +1.
Likewise, ms, the spin quantum number, has an acceptable value, since it can only be -1/2 or
+1/2.
Therefore, the only value in your set that is not allowed for a quantum number is 1 = 3.
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