ToughSTEM
Sign Up
Log In
ToughSTEM
A question answer community on a mission
to share Solutions for all STEM major Problems.
Cant find a problem on ToughSTEM?
0

Silicon has a diamond crystal lattice. The lattice constant is 10^-5 m. Determine the surface density of atoms for silicon on:

(a) the (100) plane

(b) the (110) plane

(c) the (111) plane

Edit
Added Fri, 30 Oct '15
Comment
Add a Comment
Solutions
1

(a) the (100) plane

Atoms: 4*1/4+1=2

Area=a2

(a=5.43*10-10m for Si)

Density= 2/a2=6.78*1018 atoms/m2

(b) the (110) plane

Atoms: 4*1/4+2*1/2+2=4

Surface area: sqrt(2) *a2

Density= [4/ sqrt(2)]* a2 = 9.59*1018 atoms/m2

(c) the (111) plane

(111) Atoms: 3*1/6+3*1/2=2

Surface area: sqrt(3)* a2 / 2

Density= [4/ sqrt(3)]* a2= 7.83*1018 atoms/m2

Edit
Added Fri, 30 Oct '15
Comment
Add a Comment
0

The silicon cell's (100) plane surface density

2/(0.543x10^-7)^2 =6.78 x10^14 atom/cm^2

The silicon cell's (110) surface density:

=4/(0.543x0.543x sqrt 2 x 10^-14)=9.6 x10^14 atom/cm^2

The silicon cell's (111) surface density: 7.8*10^14 atom/cm^2

Edit
Added Fri, 30 Oct '15
Comment
Add a Comment
Add Your Solution!
Close

Click here to
Choose An Image
or
Get image from URL
GO
Close
Back
Add Image
Close
What URL would you like to link?
GO
α
β
γ
δ
ϵ
ε
η
ϑ
λ
μ
π
ρ
σ
τ
φ
ψ
ω
Γ
Δ
Θ
Λ
Π
Σ
Φ
Ω
Copied to Clipboard

Add Your Solution
Sign Up
to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)
OR
OR
ToughSTEM is completely free, and its staying that way. Students pay way too much already.
Almost done!
Please check your email to finish creating your account!
Welcome to the Club!
Choose a new Display Name
Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.
Great! You're all set, .
A question answer community on a mission
to share Solutions for all STEM major Problems.
Why
The Purpose
How
The Community
Give Feedback
Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.