Calculating Effective Mass for a Free Electron: Homework Solution and Equations

raintrek
Messages
68
Reaction score
0

Homework Statement



Calculate the effective mass for a free electron.

Homework Equations



44fe609850705ab89d76fc0714b65a4c.png


The Attempt at a Solution



I know the above equation comes from, in the case of the free electron dispersion relation,
1632e523513112a5ba15209fd3e8de9b.png
.

However I'm not at all sure how to go about calculating it for a free electron, given that the two formulae are basically one in the same...
 
Physics news on Phys.org
Note the following minor correction: the free electron dispersion relation is \epsilon = \hbar ^2 k^2 /2m_e. What happens when you plug this into the expression for the effective mass?
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
View full post »

Similar threads

Phonon density of states and density of states of free electrons
Replies
3
Views
2K
How to evaluate the effective mass tensor (band structure)
Replies
6
Views
3K
How to Calculate the Effective Mass of Carriers?
Replies
1
Views
3K
Electron to Stationary Proton Collision
Replies
2
Views
2K
Calculating n^2 for Free Electrons with Friction Interactions
Replies
1
Views
1K
Solving for A in a Simple Cubic Lattice
Replies
4
Views
2K
Finding the potential inside a semiconductor
Replies
1
Views
2K
De Broglie wave length, average electron energy and momentum calculation
Replies
1
Views
1K
Proving Vector Potential Pump Amplitude-Intensity Relationship
Replies
1
Views
1K
Intrinsic carrier concentration where did I go wrong?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top