Physics, 09.07.2019 04:00 donbright100

Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to nâ1). assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?

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Answer from: hazefreedom3885

level possible values of ℓ possible values of m number of orbitals

n = 1 0, 1 -1, 0, 1 3

n = 2 0, 1, 2 -2, - 1, 0, +1, +2 5

n = 3 0, 1, 2, 3 -3, -2, -1, 0, +1, +2, +3 7

n = 4 ... ... 9

n = 5 ... ... 11

Explanation:

1. This question is about the quantum numbers: n, ℓ, m, s.

2. n is the principal quantum number, i.e. amin energy level. It can be any positive integer: 1, 2, 3, 4, 5, 6, 7 ...

3. ℓ is the azimuthal quantum number. The possible values of ℓ are from 0 to n - 1.

4. It is stated that in the alternate universe the possible values of ℓ are from 0 to n, instead of o to n - 1, and that all the other rules are still valid.

5. Since, two electrons in the same atom cannot have the same set of four quantum numbers, and the spin number can only be +1/2 or -1/2, the number of possible orbitals is equal to the amount of possible ℓ numbers.

That implies that you can build the table with the possible number of orbitgals in each level:

level possible values of ℓ possible values of m number of orbitals

n = 1 0, 1 -1, 0, 1 3

n = 2 0, 1, 2 -2, - 1, 0, +1, +2 5

n = 3 0, 1, 2, 3 -3, -2, -1, 0, +1, +2, +3 7

n = 4 ... ... 9

n = 5 ... ... 11

n = 6 ... ... 13

n = 7 ... ... 15

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

Answer from: Quest

at right angles to each other

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