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19 Nov 2019

Go Figure 6.26

Electron spin. The electron behaves as if it were spinning about an axis, thereby generating a magnetic field whose direction depends on the direction of spin. The two directions for the magnetic field correspond to the two possible values for the spin quantum number, ms.
Part A

From this figure, why are there only two possible values for the spin quantum number?

A. There are only two possible values for the spin quantum number because an electron can move only in 2 directions: up and down.

B. There are only two possible values for the spin quantum number because an electron can move only in 2 directions: left and right.

C. There are only two possible values for the spin quantum number because an electron can spin only in 2 directions: clockwise and anticlockwise.

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Collen VonLv2

26 Apr 2019

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The quantum rules any electron state are that n can be any integer > 1, l can be any positive integer less than n, m_l can be any integer from -l to +l, and m_s has only two possible values: Â±1/2.

a) Keeping the rule that n > 1, create an alternative universe by making a change to one of the other quantum rules â that is, change the restrictions on the allowed values of l, or m_l, or m_s. For example (no one can use these, of course), you might choose to say that l be any positive integer less than n² in the alternate universe. Or, you could say that m_s has seven possible values, -3, -2, -1, 0, 1, 2, or 3. The rule change can't restrict any of the quantum numbers to just one possible value. Don't copy alternative rules from any example â invent your own. You're welcome to send potential rules to the instructor for a check before proceeding.

b) Write out and count the total number of states in the two lowest energy shells (n = 1, n = 2) in your universe. Identify states by giving all four quantum numbers {n, l, m_l, m_s}, for example {2, 0, 0, +1/2}.

c) The so-called noble gases in our universe are (for the most part) atoms that, when neutral, have electrons completely filling every shell that has any electrons at all. For example, neutral helium (He) has 2 electrons, and there are two states in the n = 1 shell, so the electrons in He completely fill the first shell, and He is a noble gas. Given your results in (b), what would the first two noble gases be, in your universe? Explain.

PLEASE READ THE WHOLE QUESTION

SIDE NOTE:

IN BIZARRO WORLD, the S subshell can only hold 2 electrons, the P subshell can only hold 4 electrons, the D subshellf can only hole 6 electrons and the F subshell can only hold 8 electrons.

We are trying to create a new periodic table based on these assumptions.

The modern periodic table is arranged the way it is because of quantum mechanics. That is, there are sections for each subshell, and the number of columns in each section are dictated by the number of electrons allowed in each subshell.

Imagine that you have entered an alternate dimension where the laws of quantum mechanics are different.The elements have the same symbols and even the same number of protons, neutrons, and electrons, but their arrangement on the Bizarro Periodic Table will differ greatly from our own. They use the same letters to designate the subshells (s, p, d, and f) even though their number of orbitals differ.

Consider these rules for the quantum numbers in Bizarro World:

n can be any whole number from 1 to infinity (this is the same as our world.)

l can be integer values from 0 to n.

m_l can only go from 0 to l.

m_s is the same as in our world (Â± Â½)

Answer the following questions:

What subshells are allowed in the Bizzaro first shell? The second shell? The third shell? The fourth shell?

How many orbitals and electrons fit into the Bizarro s subshell? The p subshell? The d subshell? The fsubshell?

Based on this information, please draw what the Bizzaro Periodic Table might look like.

Draw the first 6 rows and include the s, p, d, and f subshell areas (include the f block between the s and dblocks, not separated).

Remember that the (n-1) rule for d subshells and (n-2) rule for f subshells still applies.

You donât have to list the atomic numbers or masses in each box, just the element symbols will be fine.

As a hint: the 6th row of your Bizarro Periodic Table should end with element 76, Osmium.

What elements would make up the Bizarro Noble gases?

What elements would make up the Bizarro Halogens?

How many total electrons would it take to fill the valence shell for any given atom?

Please give the Bizzaro electron configuration for the following elements. You may use Bizarro noble gas abbreviations for the core electrons if you like.

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