Recent content by unknownuser9

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    Symmetry of Cyclohexane: How Many Vibrations in Its Spectrum?

    Homework Statement Determine the point group of the chair conformer of cyclohexane. How many Raman active vibrations and how many infrared active vibrations might you expect to detect in its spectrum? Homework Equations (see link below) The Attempt at a Solution...
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    Integrating by Parts: Solving for Probability in Sphere of Radius a0

    Yeah, i realized i hadnt evaluated the final integral. When i did i got that result and substituting the limits gave me that answer. Thanks for your help!
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    Integrating by Parts: Solving for Probability in Sphere of Radius a0

    I have hosted an image of my calculations in word (LaTex still isn't working for me): http://img221.imageshack.us/img221/8241/probof1selectron.jpg Are my workings right? When I substitute in the limts, I get negative numbers which I am sure is not right. Thanks again.
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    Integrating by Parts: Solving for Probability in Sphere of Radius a0

    Yer I know but its never worked on my computer. Even if I copy and paste exactly what you wrote, It doesn't work. OK thanks, I will try that.
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    Integrating by Parts: Solving for Probability in Sphere of Radius a0

    Ive just realized, I took 4 out as a constant at the beginning. Would i have to mulitply through by 4 now?
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    Integrating by Parts: Solving for Probability in Sphere of Radius a0

    Sorry, i really can't use Latex. I did it in word and this is the best i can do: P= ∫▒4/(a_0^3 ) r^2 e^((-2r)/a_0 ) dr P= ∫▒4/(a_0^3 ) 〖a_0〗^2 r^2 e^(-2x ) a_0 dx P= ∫▒〖4x〗^2 e^(-2x) dx P=4∫▒x^2 e^(-2x) dx P= -1/2 x^2 e^(-2x)+∫▒〖xe^(-2x) 〗 dx P= -1/2 x^2 e^(-2x)+xe^(-2x) ∫▒1/2...
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    Integrating by Parts: Solving for Probability in Sphere of Radius a0

    Homework Statement Given that the probability of finding a 1s electron in a region between r and r + dr is: P = \frac{4}{a_{0}^{3}}r^{2}e-2r/a0dr work out the probability that an electron would be found within a sphere of radius: i) a0 Homework Equations The Attempt at a...
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    Nucleophilicity and basicity relationship

    Im not entirely sure I understand what you're asking but acidity increases down a group because the bond between the conjugate base and the hydrogen gets weaker. Think of it in terms of orbital overlap. HF should be a stronger acid than HI because F is the most electronegative atom but the...
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    Why does this Bra Ket (with creation and annihilation operators) equal zero?

    I think the penny has just dropped! I understand why the power being odd is important now! Thanks for your help.
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    Why does this Bra Ket (with creation and annihilation operators) equal zero?

    Oh i see so when the second a+ operates, the factor becomes \sqrt{n+2} and not \sqrt{n+1}.\sqrt{n+1} = n+1 (it is not multiplied but instead increases the number that is added to n). <n|n+1> would give an answer of zero therefore making the entire Dirac bra-ket and the factors zero? This...
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    Why does this Bra Ket (with creation and annihilation operators) equal zero?

    I have solved the question you gave and got n^1/2.n+1<n|n+1>. (Sorry if this is wrong but I am trying!) Thinking about it, after expanding and solving all the terms (aaa + a+a+a - ...), it should cancel to zero?
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    Why does this Bra Ket (with creation and annihilation operators) equal zero?

    Firstly, thank you for the reply. Secondly, does that mean, being orthonormal, <n'|n> = 0? The kind of terms? All i can think is that they are operators and operate on n to raise or lower is as such: a|n> = n^1/2|n-1> a+|n> = (n+1)^1/2|n+1> The expansion? By expanding the bracket...
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    What characteristic of a base enables it to ''accept'' Hydrogen Ions?

    Be careful how you label your species here. OH- can be seen as a base (and a nucleophile) but H2O is not the conjugate acid in the sense that you mean, H3O+ would be the 'acid'. This is because (using your HCl equation) HCl does not simply become two separate ions in solution. The acid will...
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    Why does this Bra Ket (with creation and annihilation operators) equal zero?

    1. Explain why <n|(a-a+)^3|n> must be zero 2. a and a+ (a dagger) are the raising and lowering operators (creation and annihilation operators). 3. Because it says explain, I am not sure any mathematical proof is needed. I am best answer is that because (ignoring that the bracket...
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