EASY
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If the radius of an octahedral void and that of atom in close packing is r & R respectively then relation between r & R is :-

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Important Questions on Solid State

MEDIUM
Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is ________ ×1021. (Round off to the Nearest Integer).
MEDIUM
A crystal is made up of metal ions 'M1' and 'M2' and oxide ions. Oxide ions form a ccp lattice structure. The cation 'M1' occupies 50% of octahedral voids and the cation 'M2' occupies 12.5 % of tetrahedral voids of oxide lattice. The oxidation numbers of 'M1' and 'M2' are respectively :
EASY
The number of octahedral voids per lattice site in a lattice is_. (Rounded off to the nearest integer)
MEDIUM
What is the number of octahedral void(s) per atom present in a cubic close-packed structure ?
HARD
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
EASY
A crystalline solid is made up of X and Y atoms, X atoms possesses CCP structure and Y atoms are arranged in tetrahedral voids. If all the atoms situated on a diagonal of one side are removed, what will be the molecular formula of the crystalline solid?
HARD
In a cubic closed packed structure of mixed oxide, the oxide ions are in CCP arrangement. 16 of tetrahedral voids are occupied by cations A and 12 of octahedral voids are occupied by cations B. The formula of the oxide is
MEDIUM

The edge length of a solid possessing cubic unit cell is 22r (structure I), based on hard sphere model, which upon subjecting to a phase transition, a new cubic structure (structure II) having an edge length of 4r3 is obtained, where r is the radius of the hard sphere. Which of the following statements is true ?

MEDIUM
An element has a face-centered cubic fcc structure with a cell edge of a. The distance between the centres of two nearest tetrahedral voids in the lattice is
MEDIUM
A compound is formed by cation C and anion A . The anions form hexagonal close packed (hcp) lattice and the cations occupy 75% of octahedral voids. The formula of the compound is:
EASY
Right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell are:
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An ionic compound is formed between a metal M and non-metal Y. If M occupies half the octahedral voids in the cubic close - packed arrangement formed by Y, the chemical formula of the ionic compound is
MEDIUM
The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites in Ax B. The value of x is (Integer answer)
MEDIUM
In a binary compound, atoms of element A form a hcp structure and those of element M occupy 2/3 of the tetrahedral voids of the hcp structure. The formula of the binary compound is:
MEDIUM
In CCP arrangement, the total number of octahedral voids are _________
EASY
A two-dimensional solid pattern formed by two different atoms X and Y is shown below. The black and white squares represent atoms X and Y , respectively. The simplest formula for the compound based on the unit cell from the pattern is

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MEDIUM
Atoms of element X form hcp lattice and those of element Y occupy 23 of its tetrahedral voids. The percentage of element X in the lattice is (Nearest integer)
HARD

An element crystallises in a face–centred cubic (fcc) unit cell with cell edge a. The distance between the centres of two nearest octahedral voids in the crystal lattice is:

MEDIUM
The total number of octahedral void (s) per atom present in a cubic close packed structure is :
EASY
A compound of formula A2B3 has the HCP lattice. Which atom forms the HCP lattice and what fraction of the tetrahedral voids are occupied by the other atoms?