![]() ![]() ![]() How about 3Bc c? Notice that the first three symbols are identical which indicates again the third floor and the (c) office in the B department but the fourth symbol represents a chair. Now, if I was to ask you what 3Bc d meant, what is the answer? It is a desk from the third floor and the (c) office in the B department. The fourth floor would get one more department, D, that is split into seven offices (a,b,c,d,e,f) and so on. The third floor gets the same as the second: 3Aa c, 3Aa d and 3Ba c, 3Ba d, 3Bb c, 3Bb d, 3Bc c, 3Ba d, plus one more department, C, that has five offices (a,b,c,d,e) with ten pieces of furniture! 3Ca c, 3Ca d, 3Cb c, 3Cb d, 3Cc c, 3Cc d, 3Cd c, 3Cd d, 3Ce c, 3Ce d A is similar to the one below it: 2Aa c and 2Aa d plus one new department, B, that has three offices (a,b,c) for a total of six pieces of furniture: 2Ba c, 2Ba d, 2Bb c, 2Bb d, 2Bc c, 2Ba d. The second floor is split into two departments. They are identified with: 1Aa c and 1Aa d. The first floor has one department, A, one office (a) and can hold two pieces of furniture. Each new department is split so that it always has two more offices than the one below it and every office may contain only two pieces of furniture, a desk and a chair.Įach floor is identified by its number: 1, 2, 3… each department is assigned a capital letter: A, B, C… each office in that department is given a lower case letter: a, b, c… and the chair and desk are identified using their first letters as a subscript. Every new floor is split so that it has one more department than the floor below it. The ground floor is one huge department with its office taking up the whole space. Let’s use the visual example of a building with each floor containing different numbers of departments and offices. This identity/location, is described by four numbers: n, ℓ, m ℓ, m s. Since no two electrons can be at exactly the same location at exactly the same time, no two electrons will ever have EXACTLY the same quantum numbers. In a nutshell, the quantum numbers describe the identity and location of the electrons. Once the overall picture is clear, details of each piece can be explored. While there is a plethora of knowledge pertaining to these innocent looking symbols/numbers, I believe a very basic visual approach for all of them simultaneously works best. Sections11.8 and 11.9 of the Physical Chemistry textbook, gives a very comprehensive explanation about the origins of each of the quantum numbers, but it is sometimes nice to have an overview of what is being discussed beforehand. However, in all my years of teaching, no other topic so feared at first has been so rewarding and enjoyed after the “ aha” moment passed. When learning about quantum numbers for the first time, it can be overwhelming and confusing. The worst scenario is a great insight is correctly documented, but fumbled in inspiring the key stakeholders to act.Illustration from the Physical Chemistry book (click to enlarge) When it comes to sharing these important insights I'm a strong believer in good data storytelling that often requires extra effort to develop the context, characters, challenge, and options forward that can inspire an audience to act. I'm curious to take a look through Amplitude's Notebook feature on documenting these interesting observations that could lead to huge insights. Some data analytics tools make it much easier to find and understand them. Too often we don't spend enough time just exploring the data to get a much deeper understanding. I agree organizations need to spend much more time on finding and communicating insights. These moments are an unexpected shift in our undestanding - AKA: Insights! They can be worth much more than gold! I love this article Adam! I would expand those Aha moments to also include OMG and WTF moments. ![]()
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