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@smaret
Last active November 5, 2020 12:48
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Compute the number of ice monolayers
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"source": [
"from math import pi\n",
"\n",
"nh = 4.06e9 # Hydrogen number density\n",
"xd = 1.3e-12 # Grain abundance\n",
"Ns = 3e15 # Number of sites per cm^-2\n",
"rd = 0.1 # Grain radius in microns\n",
"\n",
"rd *= 1e-4 # microns -> cm"
]
},
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"Let us compute the abundance that corresponds to one ice monolayer. The surface of one monolayer is given by:"
]
},
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"source": [
"monolayer_surface = 4 * pi * rd**2 # cm^2"
]
},
{
"cell_type": "markdown",
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"The number of molecules per monolayer is then:"
]
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"source": [
"mol_per_monolayer = monolayer_surface * Ns"
]
},
{
"cell_type": "markdown",
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"source": [
"In order to get the number of molecules per unit volume (i.e the abundance), we multiply this number by the grain abundance:"
]
},
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"execution_count": 4,
"metadata": {
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"outputs": [
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"name": "stdout",
"output_type": "stream",
"text": [
"1.2252211349e-06\n"
]
}
],
"source": [
"x_monolayer = mol_per_monolayer * xd\n",
"print x_monolayer"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So one monolayer corresponds to an abundance of 1.2 x 10<sup>-6</sup>. Note that this number does not depend on the hydrogen number density, but only on the grain radius and the grain abundance. Since we measure CO abundances of about 10<sup>-5</sup>, this means that we have about **10 monolayers of CO ices**."
]
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