Solid State

The density (in $\mathrm{g} \mathrm{cm}^{-3}$ ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is ___________.
Use: Atomic mass of metal $=105.6 \mathrm{amu}$ and Avogadro's ...

In a metal deficient oxide sample, $\mathbf{M}_{\mathbf{x}} \mathbf{Y}_2 \mathbf{O}_4$ ( $\mathbf{M}$ and $\mathbf{Y}$ are metals), $\mathbf{M}$ is present in both +2 and +3 oxidation states and $\mathbf{Y}$ is in +3 oxidation state. If the...

Atoms of metals $\mathrm{x}, \mathrm{y}$, and $\mathrm{z}$ form face-centred cubic (fcc) unit cell of edge length $\mathrm{L}_{\mathrm{x}}$, body-centred cubic (bcc) unit cell of edge length $\mathrm{L}_y$, and simple cubic unit cell of edg...

Atom $\mathrm{X}$ occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in %) of the resultant solid is closest to

For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the packing fraction is approximately (packing fraction = \({{packing\,efficiency} \over {100}}\))

The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct statement(s).

Consider an ionic solid \(MX\) with \(NaCl\) structure. Construct a new structure \((Z)\) whose unit cell is constructed from the unit cell of \(MX\) following the sequential instructions given below. Neglect the charge balance.
$$(i)\,\,\...

A crystalline solid of a pure substance has a face-centered cubic structure with a cell edge of \(400\) \(pm.\) If the density of the substance in the crystal is \(8\) \(g\,c{m^{ - 3}},\) then the number of atoms present in \(256\) \(g\) of...

The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is (are) :

If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively, are

The arrangement of X\(-\) ions around A+ ion in solid AX is given in the figure (not drawn to scale). If the radius of X\(-\) is 250 pm, the radius of A+ is

A compound MpXq has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is

The number of hexagonal faces that are present in a truncated octahedron is ____________.

The packing efficiency of the twodimensional square unit cell shown below is

The coordination number of Al in the crystalline state of AlCl\(_3\) is ___________.

The correct statement(s) regarding defects in solids is (are)

The empty space in this HCP unit cell is :

The volume of this HCP unit cell is :

The number of atoms in this HCP unit cell is :

Match the crystal system/unit cells mentioned in Column I with their characteristic features mentioned in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 \(\times\) 4 matrix given in the ORS.

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The edge length of unit cell of a metal having molecular weight \(75 \mathrm{~g} \mathrm{~mol}^{-1}\) is 5 \(\mathop A\limits^o\) which crystallizes in cubic lattice. If the density is \(2 \mathrm{~g} / \mathrm{cc}\), find the radius of me...

An element crystallises in fcc lattice having edge length 400 pm. Calculate the maximum diameter of the atom which can be placed in interstitial site such that the structure is not distorted.

A compound AB has rock salt type structure. The formula weight of AB is 6.023 Y amu, and the closest A - B distance is Y1/3 nm, where Y is an arbitrary number
(a) Find the density of the lattice
(b) If the density of lattice is found to be ...