• 向你们保证我们最后遇到一个量子

    And I promise, this is the last quantum number that we'll be introducing.

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  • 就是这个结论,能量四个量子机能显示。

    The same place is that energy is a function of these four quantum numbers.

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  • 一个给定系统内,没有两个电子完全相同量子

    Pauli says no two electrons in a given system can have the entire set of quantum numbers identical.

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  • 我们能量我们只要一个量子

    When we talked about binding energy, we just had one quantum number.

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  • 就是第二量子

    So, that's the second quantum number.

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  • 所以现在我们只要这些轨道加起来,一个轨道3个量子完全确定的。

    So now we're just counting up our orbitals, an orbital is completely described by the 3 quantum Numbers.

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  • 每个电子量子不尽不同对于这第一个重要观点

    So each electron has a distinct set of quantum Numbers, the first important idea.

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  • 认为一个给定系统内,没有两个电子完全相同量子

    And Pauli says no two electrons in a given system can have the entire set of quantum Numbers identical.

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  • 要知道我们需要三个量子才能完全描述个轨道

    Remember, we need those three quantum Numbers to completely describe the orbital.

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  • 所以我们意味着它们向上,记住我们的自量子第四个量子

    So by parallel we mean - they're either both spin up remember that's our spin quantum number, that fourth quantum number.

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  • 因为我量子一样电子是在不同原子中啊

    He has two electrons here with the same set of quantum Numbers. B but these are two separate hydrogen atoms.

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  • 于是化为所有可能量子组合求和

    And so the sum over all microstates, then, becomes the sum over all possible combinations of quantum Numbers.

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  • 我们来看下一道题目,你们告诉,有多少可能轨道,含有这些量子呢?

    So let's go to a second clicker question here and try one more. So why don't you tell me how many possible orbitals you can have in a single atom that have the following two quantum numbers?

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  • 多少轨道是含有两个量子的?

    How many different orbitals can you have that have those two quantum Numbers in them?

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  • 可以量子上看出3个

    You know from the m quantum number there are three.

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  • 那时人们没有取名他们只是ok第四个量子电子性质

    But at the time, they didn't have a well-formed name for it, they were just saying OK, there's this fourth quantum number, there's this intrinsic property in the electron.

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  • 因为第四量子

    s Because the fourth quantum number is s.

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  • 这个自旋量子我们把它简写m下标sml有所区分

    And this spin magnetic quantum number we abbreviate as m sub s, so that's to differentiate from m sub l.

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  • 就是3个量子

    So, those are our three quantum numbers.

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  • 所以如果我们,量子m等于正负1,我们讨论的就是px或者py轨道

    So we can have, if we have the final quantum number m equal plus 1 or minus 1, we're dealing with a p x or a p y orbital.

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  • 节点等于,量子1

    And our equation for total nodes is just the principle quantum number minus 1.

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  • 能量可以某个量子标记。

    And each one of these energies, if it's a molecular energies, can be indexed by a quantum number of some sort.

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  • 指出的是,现在我们了,3个量子

    And I just want to point out that now we have these three quantum Numbers.

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  • 了,我们还有其它量子psi薛定方程必须定义这些量子

    But, as I said before that, we have some more quantum numbers, when you solve the Schrodinger equation for psi, these quantum numbers have to be defined.

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  • 在这里因为Pauli不相容原理出名这个原理同一个原子中的两个电子不能相同第四量子

    Pauli So, here, Pauli came out on top, we say, and he's known for the Pauli exclusion principle, which tells us that no two electrons in the same atom can have the same four quantum Numbers.

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  • 大部分认为4不同可能不同电子可以两个量子

    OK, great. So, most of you recognize that there are four different possibilities of there's four different electrons that can have those two quantum Numbers.

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  • 也就是E下标因为一个,关于量子nl

    n l So negative e, which is sub n l, because it's a function of n and l in terms of quantum numbers.

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  • 我们简称为,两个指定量子n半径r

    R And we abbreviate that by calling it r, l by two quantum numbers, and an l as a function of little r, radius.

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  • 三个量子和,四个量子告诉我们信息

    what three quantum numbers tell us, versus what the fourth quantum number can fill in for us in terms of information.

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  • 我们方程n减去1减去量子4,11,--p轨道l多少?,学生

    l So, if we're talking about a 4 p orbital, and our equation is n minus 1 minus l, the principle quantum number is 1 4, 1 is 1 -- what is l for a p orbital?

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