Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant Calculator

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✖The Magnetocrystalline Anisotropy Constant is often represented as Ku, has units of energy density and depends on composition and temperature.ⓘ Magnetocrystalline Anisotropy Constant [K]			+10% -10%
✖The Angle in Uniaxial Anisotropy is the angle between the moments and the easy axis of magnetization.ⓘ Angle in Uniaxial Anisotropy [sin θ]			+10% -10%

✖The Uniaxial Anisotropy Energy per Unit Volume is an energy density which can also be represented in spherical polar coordinates.ⓘ Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant [E_A]

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Formula

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Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant

Formula

`"E"_{"A"} = "K"*("sin θ"^2)`

Example

`"10.96623J/m³"="40J/m³"*(("30°")^2)`

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Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniaxial Anisotropy Energy per Unit Volume = Magnetocrystalline Anisotropy Constant*(Angle in Uniaxial Anisotropy^2)
E_A = K*(sin θ^2)
This formula uses 3 Variables

Variables Used

Uniaxial Anisotropy Energy per Unit Volume - (Measured in Joule per Cubic Meter) - The Uniaxial Anisotropy Energy per Unit Volume is an energy density which can also be represented in spherical polar coordinates.
Magnetocrystalline Anisotropy Constant - (Measured in Joule per Cubic Meter) - The Magnetocrystalline Anisotropy Constant is often represented as Ku, has units of energy density and depends on composition and temperature.
Angle in Uniaxial Anisotropy - (Measured in Radian) - The Angle in Uniaxial Anisotropy is the angle between the moments and the easy axis of magnetization.

STEP 1: Convert Input(s) to Base Unit

Magnetocrystalline Anisotropy Constant: 40 Joule per Cubic Meter --> 40 Joule per Cubic Meter No Conversion Required
Angle in Uniaxial Anisotropy: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_A = K*(sin θ^2) --> 40*(0.5235987755982^2)

Evaluating ... ...

E_A = 10.9662271123174

STEP 3: Convert Result to Output's Unit

10.9662271123174 Joule per Cubic Meter --> No Conversion Required

FINAL ANSWER

10.9662271123174 ≈ 10.96623 Joule per Cubic Meter <-- Uniaxial Anisotropy Energy per Unit Volume

(Calculation completed in 00.004 seconds)

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Created by Abhijit gharphalia

national institute of technology meghalaya (NIT Meghalaya), Shillong

Abhijit gharphalia has created this Calculator and 50+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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< 5 Magnetism in Nanomaterials Calculators

Average Anisotropy using Diameter and Thickness

Go Average Anisotropy = (Magnetocrystalline Anisotropy Constant*Particle Diameter^6)/Nanoparticle Wall Thickness^6

Average Anisotropy using Anisotropy Constant

Go Average Anisotropy = Magnetocrystalline Anisotropy Constant/sqrt(Nanoparticles Present)

Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant

Go Uniaxial Anisotropy Energy per Unit Volume = Magnetocrystalline Anisotropy Constant*(Angle in Uniaxial Anisotropy^2)

Energy of Propagation using Specific Surface Energy

Go Energy of Propagation = Specific Surface Energy*pi*Radius of Liquid Sphere^2

Anisotropy Field using Spontaneous Magnetization

Go Anisotropy Field = (2*Magnetocrystalline Anisotropy Constant)/Spontaneous Magnetization

Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant Formula

Uniaxial Anisotropy Energy per Unit Volume = Magnetocrystalline Anisotropy Constant*(Angle in Uniaxial Anisotropy^2)
E_A = K*(sin θ^2)

What is Anisotropy?

Anisotropy is the structural property of non-uniformity in different directions, as opposed to isotropy. An anisotropic object or pattern has properties that differ according to direction of measurement.

How to Calculate Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant?

Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant calculator uses Uniaxial Anisotropy Energy per Unit Volume = Magnetocrystalline Anisotropy Constant*(Angle in Uniaxial Anisotropy^2) to calculate the Uniaxial Anisotropy Energy per Unit Volume, The Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant formula is defined as an energy density which can also be represented in spherical polar coordinates. It can be calculated using the magnetocrystalline anisotropy constant and the angle between the moments and the easy axis of magnetization. Uniaxial Anisotropy Energy per Unit Volume is denoted by E_A symbol.

How to calculate Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant using this online calculator? To use this online calculator for Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant, enter Magnetocrystalline Anisotropy Constant (K) & Angle in Uniaxial Anisotropy (sin θ) and hit the calculate button. Here is how the Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant calculation can be explained with given input values -> 123370.1 = 40*(0.5235987755982^2).

FAQ

What is Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant?

The Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant formula is defined as an energy density which can also be represented in spherical polar coordinates. It can be calculated using the magnetocrystalline anisotropy constant and the angle between the moments and the easy axis of magnetization and is represented as E_A = K*(sin θ^2) or Uniaxial Anisotropy Energy per Unit Volume = Magnetocrystalline Anisotropy Constant*(Angle in Uniaxial Anisotropy^2). The Magnetocrystalline Anisotropy Constant is often represented as Ku, has units of energy density and depends on composition and temperature & The Angle in Uniaxial Anisotropy is the angle between the moments and the easy axis of magnetization.

How to calculate Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant?

The Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant formula is defined as an energy density which can also be represented in spherical polar coordinates. It can be calculated using the magnetocrystalline anisotropy constant and the angle between the moments and the easy axis of magnetization is calculated using Uniaxial Anisotropy Energy per Unit Volume = Magnetocrystalline Anisotropy Constant*(Angle in Uniaxial Anisotropy^2). To calculate Uniaxial Anisotropy Energy per Unit Volume using Anisotropy Constant, you need Magnetocrystalline Anisotropy Constant (K) & Angle in Uniaxial Anisotropy (sin θ). With our tool, you need to enter the respective value for Magnetocrystalline Anisotropy Constant & Angle in Uniaxial Anisotropy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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