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The edge of the face centred cubic unit ...

The edge of the face centred cubic unit cell of aluminium is 404 pm. Calculate the radius of aluminium atom.

Text Solution

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The correct Answer is:
142.8 pm
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What is a face-centred cubic unit cell?

Face-centred cubic unit cell has ______ atoms.

Knowledge Check

  • The atomic radius of a face centred cubic cell is:

    A
    `a/2`
    B
    `(sqrt2.a)/4`
    C
    `(sqrt3.a)/4`
    D
    `a/4`

  • The atomic radius of a body centred cubic cell is:

    A
    `a/2`
    B
    `(sqrt2a)/4`
    C
    `(sqrt3a)/4`
    D
    `a/4`

  • The number of atoms present in a simple cubic unit cell are:

    A
    4
    B
    3
    C
    2
    D
    1

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    Explore conceptually related problems

    An element X with an atomic mass of 60 "g mol"^(-1) has density of 6.23 "g cm"^(-3) . If the edge length of its cubic unit cell is 400 pm, identify the cubic unit cell. Calculate the radius of an atom of this element.

    The edge length of unit cell of a body centred metal crystal is 352 pm. Calculate the radius of an atom of the metal.

    Copper crystallises with face centred cubic unit cell. If the radius of copper atom is 127.8 pm, calculate the density of copper metal. (Atomic mass of Cu= 63.55 u and Avogadro's number, N_(A)=6.02xx10^(23)"mol"^(-1) )

    Calcium metal crystallises in a face centred cubic lattice with edge length of 0.556 nm. Calculate the density of the metal if it contains (i) 0.2% Frenkel defects (ii) 0.1% Schottky defects

    In a face centred cubic crystal of an element, if the edge length of the unit cell is 580 pm, calculate the nearest neighbour distance and radius of the atom

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