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Comment on the correctness of the following statement: The probability of finding two electrons with the same four quantum numbers in an atom is zero.

According to Pauli's exclusion principle no two electrons in an atom can have the same set of four quantum numbers. Because if two electrons in an atom have the same $n, \ell$, and $m_{\ell}$ values, then they must have different values of $m_{s} .$ So the two electrons in an atom must have at least one different quantum number. Therefore, the probability of finding two electrons with the same four quantum numbers in an atom is zero

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Carleton College

Brown University

Lectures

04:49

In chemistry and physics, electronic structure is the way the electrons of an atom are arranged in relationship to the nucleus. It is determined by the subshells the electrons are bound to, which are in turn determined by the principal quantum number ("n") and azimuthal quantum number ("l"). The electrons within an atom are attracted to the protons in the nucleus of that atom. The number of electrons bound to the nucleus is equal to the number of protons in the nucleus, which is called the atomic number ("Z"). The electrons are attracted to the nucleus by this mutual attraction and are bound to the nucleus. The electrons within an atom are attracted to each other and this attraction determines the electron configuration. The electron configuration is described by the term symbol, which is the letter used to identify each subshell.

16:45

In physics, the wave–particle duality is the concept that every object or process, no matter how large or how small, behaves as both a wave and a particle. The wave–particle duality is one of the central concepts in quantum mechanics.

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Comment on the correctness…

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Which statement about the …

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eso. The statement says that the odds of finding two electrons with the exact same four quantum numbers is zero. So the rule when you look at is the Pauli exclusion principle. This says that no electrons can have the exact same four quantum numbers, and this is because you can have there because the electrons are you can think them is matter their things and they can't exist inside of each other. So we can get very, very, very close together, though. So two electrons. Let's say we're talking about phosphorous. So phosphorus has an atomic number of 15. So we need to come for 15 electrons so we can read it. The electorate on configuration as one s two to s to two p six. So that's 10. Can we go three s to? That's 12 and three p three. No, we can look these two electrons in the three s two orbital. So right. Three s to these two electrons have very, very, very similar quantum numbers. You know, the three means the principal corner number and is equal to three we know because of the S orbital. The shape you know, the L is equal to zero. And we know that if l is equal to zero than M sub, l is equal to zero. The only difference is the M sub s. Of these two electrons half to be different. I m services, um, magnetic resonance or a magnetic spin quantum number. And this is dinner is either positive 1/2 or negative 1/2. So the poly exclusion principle this is the reason that two electrons Kenna fit in a sub shell at the same time is because they're spinning in opposite directions. So if they had the exact same quantum numbers, they would both be in the same spot and spinning in the same direction, which it is not possible. The reason that they are able to be in the same. They're able to fit two electrons in one sub show. Is there spinning in the opposite direction? So the statement, according to the Pauli exclusion principle, that no to electricity at the exact same quarter number is is true because in order for them to have the exact same quantum numbers, they would not be able to co exist. So the statement overall is true that the probability of finding two electrons with the exact same quantum numbers is zero. That is a true statement

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