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MSE 210: Crystal Structure and Bonding

1.   
Concept questions: (1 point each, 15 points total)

1.1.   
Which of the folowing is not a valid combi- nation of quantum numbers for an atomic or- bital:

(a)  n = 2, l = 1,m =    1

 

(b) n = 1, l = 0,m = 0

(c) n = 1, l = 1,m = 1

 

 

1.2.   
The De Broglie wavelength is:

(a)   
A property of all matter

(b)    
Only a property of electrons because of the Schödinger wave equation

(c)    
Only a property of electrons, photons and phonons

 

 

 

1.3.   
The valence electron configuration of carbon is:

(a)   
ns2 np2

(b)    
ns2

(c)    
(n 1)d1 ns2

 

 

1.4.   
How many electrons can occupy the 4f or- bitals?

(a)   
14

(b)    
10

(c)    
7


 

1.6.   
Covalent bonds are generally:

(a)   
Stronger than metallic bonds

(b)    
Softer than metallic bonds

(c)    
Melt at a lower temperature than metal- lic bonds

 

 

 

1.7.   
In the hydrogen atom the energy of orbitals is dictated by the quantum number:

(a)   
n + l

(b)    
n only     

(c)
n (n + 1)

 

 

 

 

1.8.   
A metallic bond is predominantly:

(a)   
Strongly directional

(b)    
Completely non-directional

(c)    
Partly directional

 

 

 

1.9.   
A glass is characterized by:

(a)   
Long-range order and short-range order

(b)    
Completely disordered

(c)    
Short-range order but no long-range or- der


 

 

 

 


1.5.   
An cation is:

(a)   
An atom that has lost a small number of electrons

(b)    
An atom that has gained a small number of electrons

(c)    
A charged atom that looks like a cat


 

1.10.    
The wave function of an electron in atomic orbital has a well defined:

(a)   
Wave vector

(b)   
Kinetic energy

(c)   
Total energy


1.11.   
The wave function of an electron in atomic orbital has a radial dependence, r, that far from the nucleus scales as:

(a)   

r

1

 

(b)    
er/ro

(c)    
cos(kr)

 

1.12.   
The lattice vectors of a crystal define:

(a)   
The unit cell

(b)    
The crystal structure

(c)    
The atom positions

 

1.13.   
A face-centered (F) unit cell contains:

(a)   
One lattice point


(b)   
Two lattice points

(c)   
Four lattice points

 

1.14.    
A tetragonal unit cell has:

(a)   
a = b = c

(b)   
a = b = c

(c)   
a = b = c

1.15.    
The Miller indices (hkl) represent:

(a)   
A single plane in a crystal structure

(b)   
A set of parallel planes in a crystal struc- ture

(c)   
family of planes related by symmetry in a crystal structure


 

2.   
Compute the DeBrogli waves length of the following (1 point each)

2.1.   
An electron accelerated through a potential of 5 106 volts

 

 

 

2.2.   
A cricketball (160 g) with kinetic energy of 149 J

 

 

 

 

2.3.   
A He atom with thermal energy at T = 300 K

(The average kinetic energy per degree of freedom at temperature T  is EK =  kB2T )

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