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The contribution of a particle at the ed...

The contribution of a particle at the edge centre of a particular unit cell is ,

A

`1/2`

B

`1/4`

C

`1`

D

`1/8`

Text Solution

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The correct Answer is:
To determine the contribution of a particle located at the edge center of a unit cell, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Unit Cell**: - Consider a cubic unit cell. A unit cell is the smallest repeating unit in a crystal lattice. 2. **Locate the Edge Center**: - The edge center is located at the midpoint of each edge of the cube. In a cube, there are 12 edges. 3. **Determine Sharing of the Particle**: - A particle located at the edge center is shared among 4 different unit cells. This is because each edge belongs to 4 adjacent cubes (two cubes above and two cubes below). 4. **Calculate the Contribution**: - Since the particle is shared among 4 unit cells, the contribution of one particle at the edge center to one unit cell is: \[ \text{Contribution} = \frac{1}{4} \] 5. **Conclusion**: - Therefore, the contribution of a particle at the edge center of a unit cell is \( \frac{1}{4} \). ### Final Answer: The contribution of a particle at the edge center of a particular unit cell is \( \frac{1}{4} \). ---
To determine the contribution of a particle located at the edge center of a unit cell, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Unit Cell**: - Consider a cubic unit cell. A unit cell is the smallest repeating unit in a crystal lattice. 2. **Locate the Edge Center**: ...
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match the type of unit cell given in Column I with the features given in Column II. {: (" Column I " , " Column II") , ( " (i) Primitive cubic unit cell " , " (a) Each of the three perpendicular edges compulsorily have the different edge length i.e," a ne b b ne c ), ( "(ii) Body centred cubic unit cell" , " (b) Number of atoms pe unit cell is one" ) , ( " (iii) Face centred cubic unit cell " , ( c) "Each of the three perpendicular edges compulsorily have the same edge length , i.e, , a = b = c " ), ( " (iv) End centred orthorhombic unit cell " , "(d) In addition to the contribution from the corner atoms the number of atoms persent in a unit cell is one " ) , ( , " (e) In addition to the contribution from the corner atoms the number of atoms present in a unit cell is three"):}

What is the contribution of the atom when it is placed at the centre of the edge in a unit cell of a cube ?

Knowledge Check

  • The contibution of the particle present at the edge centre of a particular unit cell is :

    A
    `1//2`
    B
    `1//4`
    C
    1
    D
    `1//8`

  • How much of any consitituent particles actually belong to a particular unit cell ?

    A
    `1/4 th`
    B
    `1/6 th`
    C
    `1/8 th`
    D
    `1/10 th`

  • Contribution of each face in the calculation of no. of atoms in unit cells is?

    A
    43832
    B
    1
    C
    2
    D
    43894

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    Match the type of unit cell given in Column I with the features given in Column II. coloumn I (i) primitive cubic unit cell (ii) Body centred cubic unit cell (iii) Face centred cubic unit cell (iV) End centred orthohomic unit cell Column -II (a) Each of the three perpendicular edges compulsorily have the different edge length i.e., anebbec (b) Number of atoms per unit cell is one (c) Each of the three perpendicular edges compulsorily have the same edge length i.e., a=b=c (d) In additions to the contribution from the corner atoms the number of atoms present in a unit cell is three.

    Iron has body centred cubic lattice. If the edge length of the unit cell is 286 pm, the radius of iron atom is

    In a face centerd cubic cell, the contribution of an atom at a face of the unit cell is:

    An atom at the corner of the unit cell makes __________ contribution to a particular unit cell.

    In a face centred cubic unit cell of close packed atoms, the radius of atom (r) is related to the edge length (a) of the unit cell by the expression

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