Home
Class 11
CHEMISTRY
The ratio of the volume of a tetragonal ...

The ratio of the volume of a tetragonal lattice unit cell to that of a hexagonal lattice unit cell is (both having same respective lengths)

A

`(2)/sqrt(3)`

B

`sqrt(3)/(2)abc`

C

`(sqrt(3)a^(2))/(2bc)`

D

`((2a^(2)c))/sqrt(3)b`

Text Solution

Verified by Experts

Volume of a lattice is given by:
`V=abc(1-cos^(2)alpha-cos^(2)beta-cos^(2)gamma-2cos alpha cos beta cos gamma)^((1)/(2))`
`V_("tetragonal")=a^(2)c` (because `a=bcancel=c,alpha=beta=gamma=90^(@)`)
`V_("hexagonal")=a^(2)cxx(sqrt(2))/(2)`(because `a=bcancel=c,alpha=beta=90^(@),gamma=120^(@)`)
`therefore(V_("tetragonal"))/(V_("hexagonal"))=(a^(2)cxx2)/(sqrt(3)xxa^(2)xxc)=(2)/sqrt(3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLID STATE

    NARAYNA|Exercise LEVEL-II(H.W)|34 Videos

  • S-BLOCK ELEMENTS

    NARAYNA|Exercise LEVEL-4|15 Videos

  • SOME BASIC CONCEPTS IN CHEMISTRY STOICHIOMETRY (PART-I)

    NARAYNA|Exercise All Questions|555 Videos

Similar Questions

Explore conceptually related problems

The vacant space in bcc lattice unit cell is

The correct option for the number of body centred unit cells in all 14 tyes of bravais lattice unit cells is:

Knowledge Check

  • In a Tetragonal unit cell :

    A
    a = b = c, `alpha = beta = gamma ne 90^(@)`
    B
    a = b ne c, `alpha = beta = gamma = 90^(@)`
    C
    a = b = c, `alpha = beta = gamma = 90^(@)`
    D
    a = b ne c, `alpha = beta = 90^(@), gamma = 120^(@)`

  • In a tetragonal unit cell:

    A
    a = b = c, `alpha = beta = gamma ne 90^(@)`
    B
    a = b ne c, `alpha = beta = gamma = 90^(@)`
    C
    a = b = c, `alpha = beta = gamma = 90^(@)`
    D
    a = b ne c, `alpha = beta = 90^(@), gamma = 120^(@)`

  • The vacant space in bcc lattice unit cell is

    A
    `23%`
    B
    `32%`
    C
    `26%`
    D
    `48%`

    • Similar Questions

    Explore conceptually related problems

    The vacant space in bcc lattice unit cell is

    The vacant space in bcc lattice unit cell is

    The vacant space in bcc lattice unit cell is :

    The vacant space in bee lattice unit cell is:

    The unit cell of a NaCl lattice :

    Home
    Profile