In a crystalline solid, having formula AB2O4, oxide ions are arranged in cubic close packed lattice while cations A are present in tetrahedral voids and cations B are present in octahedral voids. The percentage of tetrahedral voids occupied by A is
In a cubic close packed lattice of oxide ions, there would be two tetrahedral and one octrahedral void per oxide ion.
Since, the formula shown the presence of 4 oxide ions, the number of tetrahedral voids is eight and that of octahedral voids is four.
Out of the eight tetrahedral voids one is occupied by A.
∴ Percentage of tetrahedral voids occupied
The X-ray power pattern of potassium chloride shows a cone at θ = 90o, using X-ray of wavelength 1.54 × 10–8 cm. What is the spacing between the planes?
When an electron in an excited Mo atom falls from L to K, shell, an X-ray is emitted. These X-ray are diffracted at angle of 7.75 by planes with a separation of 2.64 Å. What is the difference in energy between K-shell and L-shell in Mo assuming a first order diffraction (sin 7.75 = 0.1349)?
A compound formed by elements A and B crystallises in cubic structure where B atoms are at the corner of a cube and A atoms at the face centre. The formula of the compound is
Match box belongs to
The anions (A) from hexagonal close packing and atoms (M) occupy only two-third of the octahedral voids. The general formula of the compound is
Ag metal crystallises in a cubic closest packed arrangement with the edge of the unit cell having a length a = 407 pm. The radius of the similar atom is
The density of solid argon is 1.65 g/mL at –233oC. If the argon atom is assumed to be sphere of radius 1.54 × 10–8 cm, what percentage of solid argon is apparently empty space?(At wt of Ar = 40).
A compound CuCl has fcc structure. Its density is 3.4 g cm–3, what is the length of unit cell?
A metal crystallizes into two cubic phases fcc and bcc whose unit cell lengths are 3.5 and 3.0 Å respectively. What is the ratio of densities of fcc and bcc?
The radius of a divalent cation M2+ is 94 pm and that of divalent anion X2–is 146 pm. Thus, M2+ X2– has