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samjrholt committed Aug 13, 2024
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18 changes: 9 additions & 9 deletions getting-started/unit-converter.ipynb
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"#### Micromagnetic\n",
"The micromagnetic exchange correlation constant $A$ can be related to atomistic exchange using\n",
"\\begin{equation}\n",
"A = \\frac{zJl^2}{12V},\n",
"A = \\frac{zJL^2}{12V},\n",
"\\end{equation}\n",
"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."
"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": [
"The micromagnetic exchange correlation constant can be obtained directly from $T_c$ using \n",
"\\begin{equation}\n",
"A = \\frac{k_\\text{B}T_\\text{C}l^2}{4\\epsilon V}.\n",
"A = \\frac{k_\\text{B}T_\\text{C}L^2}{4\\epsilon V}.\n",
"\\end{equation}"
]
},
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"#### Micromagentic\n",
"The micromagnetic DMI constant $D$ can be related to atomistic DMI using\n",
"\\begin{equation}\n",
"D = \\frac{zdl}{12V},\n",
"D = \\frac{zdL}{12V},\n",
"\\end{equation}\n",
"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."
"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",
"metadata": {},
"source": [
"For a system with a micromagentic exchange of $6\\times 10^{-14}$ Jm$^{-1}$ and a helical period of 20 nm."
"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": [
"For atomistic simulations, this can be converted into\n",
"\\begin{equation}\n",
"P = \\frac{4\\pi J l}{|d|},\n",
"P = \\frac{4\\pi J L}{|d|},\n",
"\\end{equation}\n",
"where $J$ is the Heisenberg exchange, $d$ is the atomistic DMI, and $l$ is the distance between neighbouring atoms."
"where $J$ is the Heisenberg exchange, $d$ is the atomistic DMI, and $L$ is the distance between neighbouring atoms."
]
},
{
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"source": [
"### Anisotropy\n",
"#### Micromagnetic\n",
"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$^{-3}$."
"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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