How do you find the packing fraction of a diamond?

The diamond lattice is face-centered cubic. The simplified packing fraction is 8 x (V atom) / V unit cell.

What is the packing fraction for diamond?

As we consider that diamond is having cubic structure and we know that the packing fraction for ccp and hcp is 0.74.

How do you calculate packing fractions?

The fraction of total space that is filled with the inherent constituent particles of a particular cell or structure is called the packing fraction. It can be obtained by dividing the total volume occupied by constituent particles by the cell’s total volume.

How do you calculate packing factor?

Simply take the length of the line covered by circles, and divide by the total length of the line. The maximum packing factor is 1, which means 100% of the line is occupied by a circle.

How do you calculate the packing factor of a diamond cubic structure?

The diamond lattice is face-centered cubic. The simplified packing fraction is 8 x (V atom) / V unit cell. After making substitutions for known volume of spheres and cubes and simplifying, the equation becomes √3 x π/16 with a solution of 0.3401.

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Why does diamond have a low packing fraction?

atomic packing factor (or) packing density is 0.34. It is the lowest packing density material because in diamond, carbon atoms have low mass number, and hence a smaller radius. small atoms cannot be packed closely.

Is packing fraction and packing factor same?

Hexagonal close-packed and face-centered cubic structures have maximum packing factor and are more able to resist deformation. Packing factor is also known as atomic packing factor (APF), packing efficiency or packing fraction.

Is diamond close packed?

The diamond structure is a very common form. This structure is based on the cubic close packed structure with 4 additional atoms (pictured as green balls) in holes within the structure. The form of carbon in diamonds has this structure. It is also the structure of crystalline silicon.

What is packing fraction of FCC lattice?

The packing fraction or the volume of occupied space in f.c.c. packing is 0.74 (or 74%).

What is meant by packing fraction?

Definition of packing fraction

: a measure of the loss or gain of total mass in a group of nucleons when they are brought together to form an atomic nucleus : the ratio multiplied by 10,000 of the mass defect to the mass number.

How is FCC calculated?

A FCC unit cell contains four atoms: one-eighth of an atom at each of the eight corners (8×18=1 8 × 1 8 = 1 atom from the corners) and one-half of an atom on each of the six faces (6×12=3 6 × 1 2 = 3 atoms from the faces).

How do you calculate packing efficiency of BCC lattice?


  1. Step 1: Radius of sphere (particle): In bcc unit cell, particles occupy the corners and in addition one particle is at the centre of the cube. …
  2. Step 2: Volume of sphere: Volume of sphere particle = π …
  3. Step 3: Total volume of particles: Unit cell bcc contains 2 particles. …
  4. Step 4: Packing efficiency:
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How do you calculate packing density?

To calculate the particle packing density the spheres in the unit cell are counted up. The body-centered cubic structure contains (1 + 8·⅛ = 2) formula units per cell; the face-centered cubic unit cell contains (6·½ + 8·⅛ = 4) formula units, giving it the higher packing density.