Describing the unit cells Flashcards

1
Q

how is the first layer of a simple cubic unit cell arranged?

A

so that each sphere touches 4 others in the layer

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2
Q

how is the second layer of a simple cubic unit cell arranged?

A

arranged the same way as the first layer; so that each sphere sits directly on top of the the sphere on the layer below it

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3
Q

is the simple cubic unit cell efficient?

A

no it is very inefficient

- only 52% of the total unit cell volume is occupied by spheres

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4
Q

What is the only element that packs like the simple cubic unit cell?

A

polonium

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5
Q

how is the first layer of the bcc unit cell arranged?

A

just like the first layer of the simple cubic unit cell (touching four other spheres in this layer)

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6
Q

how is the 2nd layer of the bcc unit cell arranged?

A

arranged in the same way as the first layer, but it is instead placed in the HOLLOWS between the spheres of the first layer

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7
Q

how is the 3rd layer of the bcc unit cell arranged?

A

placed in the HOLLOWS OF THE 2ND LAYER; so that the first and 3d layers line up

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8
Q

true or false; the bcc unit cell has a greater packing efficiency than the simple cubic unit cell

A

true

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9
Q

how efficient is the packing of the bcc unit cell?

A

68%

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10
Q

what elements pack in the bcc unit cell

A

Cr, Fe, all G1 elements

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11
Q

how many spheres touch in the fcc unit cell per layer?

A

6

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12
Q

how is the 2nd layer of fcc unit cell arranged?

A

(arranged in the same way) but placed in the hollows of the 1st layer

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13
Q

how is the 3rd layer of fcc unit cell arranged?

A

placed in the hollows of the second layer in 2 different ways:

  • cubic closest packing
  • hexagonal closest packing
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14
Q

What does it mean by hexagonal closest packing?

A

(ABA packing)

3rd layer is placed directly over the spheres of the 1st layer (top view there will be holes seen)

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15
Q

what does it mean by cubic closest packing?

A

(ABC packing); 3rd layer is placed directly over the spaces in the first layer (no gaps can be seen from top view)

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16
Q

What is the packing efficiency of fcc (both hexagonal and cubic)

A

74%

17
Q

what kind of unit cell does hexagonal closest packing fcc unit cell have?

A

hexagonal unit cell

18
Q

What type of elements crystallize into hexagonal closest packing fcc unit cell

A

metallic elements

Mg, Ti, Zn

19
Q

which elements adopt the cubic closest packing fcc unit cell?

A

Ni, Cu, Pb

20
Q

true or false; hexagonal or cubic close packing is the most efficient way to pack spheres of equal size

A

true

21
Q

what are the properties of crystalline solids defined by?

A

type of particle in the crystal

- determines the forces between them