<p>$$\textit{In this exercise we will study the rotational and vibrational modes of diatomic molecules. We will see how key quantities such as interatomic distance and atomic mass can be extracted from the emission spectrum.}$$</p>
<p>a.) $V_{mor}(R)$ is minimal when $1 = e^{-a(R-R_e)}$, which is equivalent to $R = R_e$. Deriving twice gives $V_{mor}''(R_e) = 2D_e a^2 =k$, allowing us to divide $E_{mor, n}$ into the harmonic part $\hbar \omega(n+\frac{1}{2})$ and the anharmonic part $-\hbar \omega x_e (n + \frac{1}{2})^2$.</p>
<pre>The energy scale of th vibrational spectrum is 0.0914347523102906 eV
This corresponds to a photon wavelength of 0.013524011559971535 mm, a photon frequency of 138.91384213299582 THz, and a temperature of 1061.0562374751735 K°.
<span class="nb">print</span><span class="p">(</span><span class="s1">'The energy scale of th vibrational spectrum is'</span><span class="p">,</span> <span class="n">e_vib</span><span class="o">/</span><span class="n">ue</span><span class="p">,</span> <span class="s1">'eV'</span><span class="p">,</span> <span class="s1">'which is about 2 orders of magnitude smaller than the energy scale of the vibrational spectrum'</span><span class="p">)</span>
<pre>The energy scale of th vibrational spectrum is 0.0020900784825110485 eV which is about 2 orders of magnitude smaller than the energy scale of the vibrational spectrum
This corresponds to a photon wavelength of 0.5916355091804394 mm, a photon frequency of 3175.3881869753213 GHz, and a temperature of 24.254353565207847 K°.
<p>such that $B_n = \frac{\hbar^2}{2 \mu} \langle \psi_n|\frac{1}{R^2}|\psi_n \rangle $. The emission spectrum sees a state $|1, J \rangle$ either decay to $|0, J+1 \rangle$ (P-branch) or $|0, J-1 \rangle$ (R-branch). The energy is given by</p>
<p>e.) In the rigid rotor approximation we assume $B_e = B_0 = B_1$. This is equivalent to $ \langle \psi_n | \frac{1}{R^2} | \psi_n \rangle = \frac{1}{R_e^2}$. Note that for the emission spectrum this means that quadratic terms will disappear and the spectral lines are seperated equidistantly with a $2B_e$ spacing.</p>
<p>f.) In the parabolic approximation $\langle \psi_n | R |\psi_n \rangle = R_e$. Due to the nature of the hermite polynomials we also known that the average squared distance from the mean $\langle \psi_n | (R-R_e)^2 |\psi_n \rangle$ will increase with increasing $n$. We now do the following taylor expansion</p>
<p>which increases with increasing $n$. So we find $B_n > B_m > B_e$ for $n > m$, in the harmonic approximation. Note that in this means that the P-branch will be compressed while the R-branch is spread. This is however normally not observed hinting at the fact that the harmonic approximation can be inadequate.</p>
<p>We see that we can take advantage of the linear term if $\langle \psi_n | R |\psi_n \rangle \neq R_e$, but rather an increasing $\langle \psi_n | R |\psi_n \rangle$ with increasing $n$. This is possible if the potential is skewed, having a steep potential wall at small $R$ and a big tail at bigger $R$. States with higher energy will then be centered at bigger $R > R_e$.</p>
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"/>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'Close up of the Fourier Transform |F(ν)|'</span><span class="p">)</span>
<img alt="No description has been provided for this image" class="" 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"/>
<span class="nb">print</span><span class="p">(</span><span class="s1">'We see that the best fit is with carbon and oxygen atoms </span><span class="se">\n</span><span class="s1"> </span><span class="se">\n</span><span class="s1">'</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'The abundance ratio of the oxygen element O(16)/O(17) is'</span><span class="p">,</span> <span class="s1">'</span><span class="si">{}</span><span class="s1">:1'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">h1</span><span class="o">/</span><span class="n">h2</span><span class="p">))</span> <span class="c1">#responsible for the ratio h1 and h2</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'The abundance ratio of the carbon element C(12)/C(13) is'</span><span class="p">,</span> <span class="s1">'</span><span class="si">{}</span><span class="s1">:1'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">h1</span><span class="o">/</span><span class="n">h3</span><span class="p">))</span> <span class="c1">#responsible for the ratio h1 and h3</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'A sanity check compares the ratio of the magnitudes'</span><span class="p">,</span> <span class="n">h1</span><span class="o">/</span><span class="n">h4</span><span class="p">,</span> <span class="s1">'to the product of the abundance ratios'</span><span class="p">,</span> <span class="n">h1</span><span class="o">/</span><span class="n">h2</span><span class="o">*</span><span class="n">h1</span><span class="o">/</span><span class="n">h3</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'The temperature in the ISM is'</span><span class="p">,</span> <span class="n">coeffs</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="s1">'K°'</span><span class="p">)</span>
<img alt="No description has been provided for this image" class="" 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"/>