60 lines
1.3 KiB
Python
60 lines
1.3 KiB
Python
# -*- coding: utf-8 -*-
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"""
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Created on Fri Aug 27 15:14:48 2021
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@author: Joschka
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"""
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from src import physical_constants as cs
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import numpy as np
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mu = 9.9* cs.mu_B/8
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Grad_Bz = cs.m_Dy_164 * 9.81/(8*mu)
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print("For levitation:")
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print(f"dBz/dz = {Grad_Bz*1e4*1e-2:.4f} G/cm")
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print("")
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T = 1e-6
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dt = 10e-3
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sigma = np.sqrt(cs.k_B*T/cs.m_Dy_164) * dt
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dz = 2 * sigma
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print(f"cloud size: {sigma*1e3:.3f} mm")
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#dz = 250e-6
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Grad_Bz = 2 * dz * cs.m_Dy_164/(dt**2 * mu)
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print(" ")
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print("For Stern-Gerlach separation:")
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print(f"dBz/dz = {Grad_Bz*1e4*1e-2:.4f} G/cm")
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print(" ")
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def cloud_pos(mF, dt = 10e-3):
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a = mF*mu*Grad_Bz/cs.m_Dy_164 - 9.81
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s = 0.5 * a *dt**2
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return s
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a8 = -8*mu*Grad_Bz/cs.m_Dy_164 - 9.81
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a8_neg = 8*mu*Grad_Bz/cs.m_Dy_164 - 9.81
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a7 = -7*mu*Grad_Bz/cs.m_Dy_164 - 9.81
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s8 = 0.5 * a8 * dt**2
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s8_neg = 0.5 * a8_neg * dt**2
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s7 = 0.5 * a7 * dt**2
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for mF in np.arange(-8,9,1):
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print(f"for mF = {mF}: pos = {cloud_pos(mF) * 1e3} mm")
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print(f"Total fall for m8 for acceleration due to magnetic field in same direction than gravity = {s8 * 1e3}mm")
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print(f"Total lift for m8 for acceleration due to magnetic field in other direction than gravity = {s8_neg * 1e3}mm")
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print(f"Fall without magnetic field = {-0.5 * 9.81 * dt**2 *1e3} mm")
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print(f"s7 = {s7 * 1e3}mm")
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print(f"diff = {(s8 - s7) * 1e3} mm")
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