From 469372eee723c3bb6e1ba01b30f50a2f6585c065 Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Wed, 11 Sep 2024 10:55:47 -0400 Subject: [PATCH] NUCE2100 HW2 Update --- NUCE_2100/HW2.ipynb | 42 +++++++++++++++++++++++++++++------------- NUCE_2100/HW2v2.pdf | Bin 0 -> 46379 bytes 2 files changed, 29 insertions(+), 13 deletions(-) create mode 100644 NUCE_2100/HW2v2.pdf diff --git a/NUCE_2100/HW2.ipynb b/NUCE_2100/HW2.ipynb index 668e5a6..e0a3cfe 100644 --- a/NUCE_2100/HW2.ipynb +++ b/NUCE_2100/HW2.ipynb @@ -48,10 +48,10 @@ " h1_mass = 1007825.03190 #micro AMU\n", " neutron_mass = 1008664.9159 #mirco AMU\n", "\n", - " mass_defect = (z*h1_mass + n*neutron_mass - mass)/1e6 #micro amu to u\n", - " energy = (mass_defect*1.6606e-27)*c**2 #amu to kg, answer in J\n", + " mass_defect = (z*h1_mass + n*neutron_mass - mass)/1e6 #calculate mass defect, micro amu to u\n", + " energy = (mass_defect*1.6606e-27)*c**2 #convert amu to kg, answer in J\n", "\n", - " return energy*6.242e12 #Convert J to MeV\n", + " return energy*6.242e12 #Convert J to MeV, and return value\n", " \n", "twoH_mass = 2014101.77784 #micro AMU\n", "print(\"2H Binding Energy:\", binding_energy(twoH_mass,1,1), \"MeV\")\n", @@ -89,6 +89,7 @@ "neutron_mass = 1008664.9159 #mirco AMU\n", "c = 299792458 # m/s\n", "\n", + "#Calculate difference in mass of products - reactants, mulitply by c^2\n", "Q = (fourHe_mass + neutron_mass - twoH_mass - threeH_mass)/1e6*1.6606e-27 * c**2\n", "print(\"Q is \", Q*6.242e12, \"MeV\")" ] @@ -125,6 +126,7 @@ "id": "e8108f30-f807-4f83-90b8-ce1092404284", "metadata": {}, "source": [ + "---\n", "2. Using atomic mass data, compute the average binding energy per nucleon of the following\n", "nuclei:\n", "\n", @@ -153,29 +155,31 @@ "name": "stdout", "output_type": "stream", "text": [ - "6Li Binding Energy: 31.997677545325832 MeV\n", - "12C Binding Energy: 92.17236586153292 MeV\n", - "51V Binding Energy: 445.8977789774969 MeV\n", - "138Ba Binding Energy: 1158.4258775508786 MeV\n", - "235U Binding Energy: 1784.0708281992524 MeV\n" + "A: Average 6Li Binding Energy: 5.332946257554306 MeV per nucleon\n", + "B: Average 12C Binding Energy: 7.681030488461077 MeV per nucleon\n", + "C: Average 51V Binding Energy: 8.743093705441115 MeV per nucleon\n", + "D: Average 138Ba Binding Energy: 8.394390417035352 MeV per nucleon\n", + "E: Average 235U Binding Energy: 7.5917907582946915 MeV per nucleon\n" ] } ], "source": [ + "#For each part, find the binding energy of the nuclide, then divde by the number of nucleons.\n", + "\n", "sixLi_mass = 6015122.8874 #micro AMU\n", - "print(\"6Li Binding Energy:\", binding_energy(sixLi_mass,3,3), \"MeV\")\n", + "print(\"A: Average 6Li Binding Energy:\", binding_energy(sixLi_mass,3,3)/6, \"MeV per nucleon\")\n", "\n", "twelveC_mass = 12000000.0 #micro AMU\n", - "print(\"12C Binding Energy:\", binding_energy(twelveC_mass,6,6), \"MeV\")\n", + "print(\"B: Average 12C Binding Energy:\", binding_energy(twelveC_mass,6,6)/12, \"MeV per nucleon\")\n", "\n", "fiftyoneV_mass = 50943957.66 #micro AMU\n", - "print(\"51V Binding Energy:\", binding_energy(fiftyoneV_mass,23,28), \"MeV\")\n", + "print(\"C: Average 51V Binding Energy:\", binding_energy(fiftyoneV_mass,23,28)/51, \"MeV per nucleon\")\n", "\n", "onethirtyeightBa_mass = 137905247.06 #micro AMU\n", - "print(\"138Ba Binding Energy:\", binding_energy(onethirtyeightBa_mass,56,82), \"MeV\")\n", + "print(\"D: Average 138Ba Binding Energy:\", binding_energy(onethirtyeightBa_mass,56,82)/138, \"MeV per nucleon\")\n", "\n", "twothirtyfiveU_mass = 235043928.1 #micro AMU\n", - "print(\"235U Binding Energy:\", binding_energy(twothirtyfiveU_mass,92,143), \"MeV\")" + "print(\"E: Average 235U Binding Energy:\", binding_energy(twothirtyfiveU_mass,92,143)/235, \"MeV per nucleon\")" ] }, { @@ -183,6 +187,7 @@ "id": "df1603d2-3e2c-463f-93eb-bd9aa1514314", "metadata": {}, "source": [ + "---\n", "3. Compute the atom densities of $^{235}U$ and $^{238}U$ in UO2 of physical density 10.8 g/cm3 if the uranium\n", "is enriched to 3.5 w/o in $^{235}U$." ] @@ -219,6 +224,7 @@ "id": "df698b09-ce8d-4b38-92c7-0d96765e1b25", "metadata": {}, "source": [ + "---\n", "4. Calculate the mean free path of 1-eV neutrons in graphite. The total cross section of carbon at\n", "this energy is 4.8 b.\n", "\n", @@ -243,11 +249,21 @@ "source": [ "graphite_density = 1.82 #g/cm^3\n", "graphite_nuclei_density = graphite_density/12.000*0.6022e24 #atoms/cm^3\n", + "#Take the density of graphite, divide by 12.000 g 12C / mole, then multiply by Avogadro's Number to get to atoms\n", "print(\"The nuclei density of graphite is \",graphite_nuclei_density,\" atoms/cm^3\")\n", "\n", "mean_free_path = 1/(4.8*10e-24)/graphite_nuclei_density\n", + "#Follow the formula from the slides, where we are converting Barns to cm.\n", "print(\"The mean free path is \",mean_free_path,\"cm in graphite.\")" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2097a2cb-619e-410e-bfad-a5ca91849cbc", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/NUCE_2100/HW2v2.pdf b/NUCE_2100/HW2v2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..9836bf77bb296ecf3f1f9aa173fdbbe8eb64d5fd GIT 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