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getting-started/unit-converter.ipynb

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"#### Micromagnetic\n",
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"The micromagnetic exchange correlation constant $A$ can be related to atomistic exchange using\n",
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"\\begin{equation}\n",
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"A = \\frac{zJl^2}{12V},\n",
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"A = \\frac{zJL^2}{12V},\n",
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"\\end{equation}\n",
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"where $J$ is the Heisenberg exchange, $z$ is the number of nearest neighbour atoms, and $l$ is the distance between neighbouring atoms, and $V$ is the crystal volume per magnetic atom."
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"where $J$ is the Heisenberg exchange, $z$ is the number of nearest neighbour atoms, and $L$ is the distance between neighbouring atoms, and $V$ is the crystal volume per magnetic atom."
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"source": [
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"The micromagnetic exchange correlation constant can be obtained directly from $T_c$ using \n",
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"\\begin{equation}\n",
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"A = \\frac{k_\\text{B}T_\\text{C}l^2}{4\\epsilon V}.\n",
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"A = \\frac{k_\\text{B}T_\\text{C}L^2}{4\\epsilon V}.\n",
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"\\end{equation}"
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]
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"#### Micromagentic\n",
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"The micromagnetic DMI constant $D$ can be related to atomistic DMI using\n",
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"\\begin{equation}\n",
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"D = \\frac{zdl}{12V},\n",
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"D = \\frac{zdL}{12V},\n",
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"\\end{equation}\n",
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"where $d$ is the atomistic DMI, $z$ is the number of nearest neighbour atoms, and $l$ is the distance between neighbouring atoms, and $V$ is the crystal volume per magnetic atom."
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"where $d$ is the atomistic DMI, $z$ is the number of nearest neighbour atoms, and $L$ is the distance between neighbouring atoms, and $V$ is the crystal volume per magnetic atom."
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"id": "5709f726",
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"metadata": {},
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"source": [
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"For a system with a micromagentic exchange of $6\\times 10^{-14}$ Jm$^{-1}$ and a helical period of 20 nm."
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"For a system with a micromagentic exchange of $6\\times 10^{-14}$ Jm $^{-1}$ and a helical period of 20 nm."
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"source": [
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"For atomistic simulations, this can be converted into\n",
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"\\begin{equation}\n",
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"P = \\frac{4\\pi J l}{|d|},\n",
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"P = \\frac{4\\pi J L}{|d|},\n",
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"\\end{equation}\n",
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"where $J$ is the Heisenberg exchange, $d$ is the atomistic DMI, and $l$ is the distance between neighbouring atoms."
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"where $J$ is the Heisenberg exchange, $d$ is the atomistic DMI, and $L$ is the distance between neighbouring atoms."
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]
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},
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"source": [
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"### Anisotropy\n",
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"#### Micromagnetic\n",
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"Anisotropy can be measured experimentally in a variety of different ways. The results torque magnetometry, for example, can give correct value for the anisotropy in units of Jm$^{-3}$."
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"Anisotropy can be measured experimentally in a variety of different ways. The results torque magnetometry, for example, can give correct value for the anisotropy in units of Jm $^{-3}$."
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]
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{

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