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667f05hw5sol

# 667f05hw5sol - ELEG 667016 MSEG-667-016 Solid State...

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ELEG 667–016; MSEG-667-016 - Solid State Nanoelectronics – Fall 2005 Solutions Homework #5 - due Tuesday, 17 October 2005, in class 1. The maximum demagnetization field in a Néel wall is –4 π M s , (in cgs units) and the maximum self-energy density is ( ) s s 1 4 M M 2 π . In a wall of thickness Na, where a is the lattice constant, the demagnetization contribution to the surface energy is 2 demag s 2 M Na. σ π This is a type of anisotropy energy. The total wall energy, exchange + demag, is ( ) ( ) 2 2 2 2 w s JS Na 2 M Na , σ ≈ π + π by use of ( σ w = σ ex + σ anis ). The minimum is at 2 2 2 2 2 w s 1 2 2 2 3 s N 0 JS N a 2 M a, or 1 N JS M a , 2 ∂σ = = −π + π = π and is given by ( ) ( ) ( ) ( ) 1 2 1 2 3 4 8 2 w s M S 2 J a 10 10 10 10 10 erg cm , σ ≈ π π
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• Fall '08
• Staff
• Centimetre gram second system of units, ERG, maximum demagnetization field, thickness Na, Solid State Nanoelectronics

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