Assume that you travel through space to a strange universe where the allowable v

Question

Assume that you travel through space to a strange universe where the allowable values for the quantum numbers are quite different from those in our own universe. In this new universe, s orbitals may contain a total of 2 electrons, p orbitals may contain a total of 4 electrons, and d orbitals may contain a total of 6 electrons (as opposed to our 2, 6, and 10, respectively). The other rules of electron configuration in this new universe are the same as in our own universe. Answer the following about elements in this new universe. a. How many orbitals would there be in each of the s, p, and d levels? b. Write the rule for the allowable values of ml. c. What is the ground state electronic configuration of element number 10 in this new universe? d. What would be the atomic number of the first transition metal in this new universe? You can assume the same order of energy levels as in our universe.

Explanation / Answer

Given that 1) In the new universe, s orbitals may contain a total of 2 electrons, p orbitals may contain a total of 4 electrons, and d orbitals may contain a total of 6 electrons (as opposed to our 2, 6, and 10, respectively).

2) The other rules of electron configuration in this new universe are the same as in our own universe.

a) How many orbitals would there be in each of the s, p, and d levels?

Each orbital has 2 electrons in it.

Therefore,

s level has 1 orbital because it has 2 electrons

p level has 2 orbitals because it has 4 electrons

d level has 3 orbitals because it has 6 electrons

b)  Write the rule for the allowable values of ml.

ml = magnetic quantum number

orbital ml values

s 0

p -1,0

d -1,0,+1

c) What is the ground state electronic configuration of element number 10 in this new universe?

1s2 2s2 2p4 3s2

d) What would be the atomic number of the first transition metal in this new universe?

First transition metal is Scandium (Sc) whose atomic number is 21.

Original electronic configuration of Sc = 1s2 2s2 2p6 3s2 3p6 4s2 3d1

Electronic configuration of Sc in the new universe = 1s2 2s2 2p4 3s2 3p4 4s2 3d1= 17 electrons

Therefore , atomic number of Sc in the new universe = 17

Hence, atomic number of the first transition metal in the new universe = 17

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