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Respected Ubermag team
Torque magnetometry is a technique where an external magnetic field is applied in a direction relative to a magnetic sample, an the torque produced measured. This technique can be used to obtain information on the characteristics of the magnetism in the sample like anisotropy.
Sir i have gone through this page of ubermag and want find physics behind Tourque and Anisotropy. i also see the refrence which is given in the bootom of this page but can not understand properly. https://ubermag.github.io/documentation/notebooks/mag2exp/Torque_magnetometry.html
import discretisedfield as df
import matplotlib.pyplot as plt
import micromagneticmodel as mm
import numpy as np
import oommfc as oc
import ubermagutil.units as uu
np.random.seed(1)
region = df.Region(p1=(-150e-9, -150e-9, 0), p2=(150e-9, 150e-9, 100e-9))
mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9))
Ms = 9.65e5
H_mag = 2.38e6
system = mm.System(name="Box2")
system.energy = (
mm.Exchange(A=8.78e-13)
+ mm.UniaxialAnisotropy(K=1.18e6, u=(0, 0, 1))
+ mm.Demag()
+ mm.Zeeman(H=(0, 0, 0))
)
# create system with above geometry and initial magnetisation
system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=Ms)
system.m.z.sel("z").mpl.scalar()
# minimize the energy
md = oc.MinDriver()
md.drive(system)
# Plot relaxed configuration: vectors in z-plane
system.m.sel("z").mpl()
import mag2exp
mag2exp.magnetometry.torque(system.m, system.energy.zeeman.H)
angles = np.linspace(0, 2 * np.pi, 71)
torque_val_x = np.full_like(angles, np.nan)
torque_val_y = np.full_like(angles, np.nan)
torque_val_z = np.full_like(angles, np.nan)
for i, angle in enumerate(angles):
system.energy.zeeman.H = (0, H_mag * np.sin(angle), H_mag * np.cos(angle))
md.drive(system, verbose=0)
torque_val_x[i], torque_val_y[i], torque_val_z[i] = mag2exp.magnetometry.torque(
system.m, system.energy.zeeman.H
)
fig, ax = plt.subplots(dpi=100)
ax.hlines(
system.energy.uniaxialanisotropy.K,
xmin=np.min(angles),
xmax=np.max(angles),
color="r",
)
ax.hlines(
-system.energy.uniaxialanisotropy.K,
xmin=np.min(angles),
xmax=np.max(angles),
color="r",
)
ax.scatter(angles, torque_val_x)
ax.set_xlabel("Angle (rad.)")
ax.set_ylabel(r"Torque (Nm$^{-2}$)")
ax.set_xlim([0, 2 * np.pi])
plt.show()
i only understand that tourque is changing with angle rotation of Happlied but anisotropy is contant through out the angle becouse in the programm constant value of anisotropy is K=1.18e6, u=(0, 0, 1) in z direction fixed.
so how this will help us to reveal magnetic characterstics like anisotropy.
Sir, it may be seem like stupid question for you but i can not understand please help me out.
I will be very great full to you all.
thank you.
The text was updated successfully, but these errors were encountered:
Respected Ubermag team
Torque magnetometry is a technique where an external magnetic field is applied in a direction relative to a magnetic sample, an the torque produced measured.
This technique can be used to obtain information on the characteristics of the magnetism in the sample like anisotropy.
Sir i have gone through this page of ubermag and want find physics behind Tourque and Anisotropy. i also see the refrence which is given in the bootom of this page but can not understand properly. https://ubermag.github.io/documentation/notebooks/mag2exp/Torque_magnetometry.html
i only understand that tourque is changing with angle rotation of Happlied but anisotropy is contant through out the angle becouse in the programm constant value of anisotropy is K=1.18e6, u=(0, 0, 1) in z direction fixed.
so how this will help us to reveal magnetic characterstics like anisotropy.
Sir, it may be seem like stupid question for you but i can not understand please help me out.
I will be very great full to you all.
thank you.
The text was updated successfully, but these errors were encountered: