हिंदी

How Many Atoms Constitute One Unit Cell of a Face-centered Cubic Crystal? - Chemistry

Advertisements
Advertisements

प्रश्न

How many atoms constitute one unit cell of a face-centered cubic crystal?

उत्तर

Number of atoms in one face centered cubic unit cell can be determined from the number of atoms contributed from the faces and the corners of the unit cell as: (8 corners x 1/8 atom per corner =8x 1/8  = 1 atom) + (6 faces x 1/2  atom per unit face = 6 x1/2 = 3 atoms).

∴ Total no. of atoms per unit cell = 4 atoms.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2012-2013 (March) Delhi Set 1

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Gold occurs as face centred cube and has a density of 19.30 kg dm-3. Calculate atomic radius of gold (Molar mass of Au = 197)


An element with molar mass 27 g mol−1 forms a cubic unit cell with edge length 4.05 ✕ 10−8 cm. If its density is 2.7 g cm−3, what is the nature of the cubic unit cell?


Explain how much portion of an atom located at (i) corner and (ii) body-centre of a cubic unit cell is part of its neighbouring unit cell.


An element with molar mass 2.7 × 10-2 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its density is 2.7 × 103 kg m−3, what is the nature of the cubic unit cell?


What is the coordination number of atoms:

(a) in a cubic close-packed structure?

(b) in a body-centred cubic structure?


Explain with reason sign conventions of ΔS in the following reaction

N2(g) + 3H2(g) → 2NH3(g)


A face centred cube (FCC) consists of how many atoms? Explain


An element 'X' (At. mass = 40 g mol-1) having f.c.c. the structure has unit cell edge length of 400 pm. Calculate the density of 'X' and the number of unit cells in 4 g of 'X'. (NA = 6.022 × 1023 mol-1)


The density of silver having an atomic mass of 107.8 g mol- 1 is 10.8 g cm-3. If the edge length of cubic unit cell is 4.05 × 10- 8
 cm, find the number of silver atoms in the unit cell.
 ( NA = 6.022 × 1023, 1 Å = 10-8 cm)


What is the total number of atoms per unit cell in a face-centered cubic structure?


An atom located at the body center of a cubic unit cell is shared by ____________.


TiCl has the structure of CsCl. The coordination number of the ions in TiCl is ____________.


An element forms a cubic unit cell with edge length 405 pm. Molar mass of this element is 2.7 × 10−2 kg/mol and its density is given as 2.7 × 103 kg/m3. How many atoms of these elements are present per unit cell?


A metal has a body-centered cubic crystal structure. The density of the metal is 5.96 g/cm3. Find the volume of the unit cell if the atomic mass of metal is 50.


An element (atomic mass 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of element is (No. of atoms in bcc, Z = 2).


Sodium metal crystallizes in a body-centered cubic lattice with a unit cell edge of 4.29 Å. The radius of the sodium atom is approximate:


The number of atoms contained in a fcc unit cell of a monoatomic substance is ____________.


Which of the following metal(s) show(s) hexagonal close-packed structure (hcp) and which show face-centered cubic (fcc) structure?


An element with atomic mass 100 has a bcc structure and edge length 400 pm. The density of element is:


The percentage of empty space in a body centred cubic arrangement is ______.


The coordination number for body center cubic (BCC) system is


The correct set of quantum numbers for 2p sub shell is:


Percentage of free space in body centred cubic unit cell is


If a represents the edge length of the cubic systems, i.e. simple cubic, body centred cubic and face centered cubic, then the ratio of the radii of the sphere in these system will be:-


A solid is formed by 2 elements P and Q. The element Q forms cubic close packing and atoms of P occupy one-third of tetrahedral voids. The formula of the compound is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×