Calculate the mass density of diamond assuming that it is a close-packed structure of hard spheres with radii equal to half the carbon–carbon bond length of 154.45 pm. (b) The diamond lattice is in fact based on a face-centred cubic lattice but with two atoms per lattice point, such that the structure consists of two interpenetrating fcc lattices, one with its origin at (0,0,0) and the other with its origin at (1/4,1/4,1/4). The experimentally determined mass density is 3.516 g cm−3: can you explain the difference between this value and that in (a)?

Q: Calculate the density of cesium if it crystallizes in the bcc structure with an atomic radius of 272…

A:

Q: Indicate the planes (a) (100), (b) (134), and (c) (102) within a unit cell

A: Miller indicies are way to notate crystallography for planes in the crystal(bravias) lattice.

Q: Substance Y (107.8682 amu) reflects X-rays of wavelength 154.18 pm at angles of 19.076°, 22.171°,…

A: This is a question from solid state chemistry. We have to use following three formulae to figure out…

Q: iobium crystallises in body-centred cubic structure. If the atomic radius is 143.1 pm, calculate the…

A: To calculate the density of a unit cell, the equation used is: ρ=Z × MNA × a3         ......(1)…

Q: Show for the face-center cubic crystal structure that the unit cell edge length a and the atomic…

A: In a face-center cubic crystal, atoms occupy all corners and faces of the cube. The space filled…

Q: 5. Strontium (Sr: [Kr]5s2) crystal has a mass density of 2.64 g/cm3 and a molar mass of 87.62 g/mol.…

A: Mass density = 2.64 g cm-3 Molar mass   = 87.62 g mol-1

Q: An orthorhombic unit cell has dimensions a = 769 pm, b = 891 pm, and c = 690 pm. Calculate the…

A:

Q: (i) Write the type of magnetism observed when the magnetic moments are aligned in parallel and…

A: Magnetism is due to the movement of electric charge.

Q: a) A solid substance is considered to be orthorhombic in nature. Since the edges of the unit cell…

A: The d is the interplanar spacing and it is defined by the spacing between the adjacent planes which…

Q: The unit cells of SbCI3 are orthorhombic with dimensions a= 812 pm, b = 947 pm, and c = 637 pm.…

A: For orthorhombic system, So that, Where, dkhl=spacing of planes.

Q: Determine the angle θ between a axis and the direction [121] in a monoclinic lattice with a lattice…

A:

Q: Describe the phenomenon and the cause of phase transitions in polymer systems. (b) Describe the role…

A: (a) Phase transitions in polymers occur due to changes in intermolecular forces that hold polymer…

Q: QH05. (a) Derive Bragg's law in X-ray diffraction. How does it help to examine the crvstal…

A: Derivation of Bragg's law

Q: ng of the (321) pla ation is used (X=1 ction?

A: i). The reciprocal parameter can be obtained using the following relation.

Q: A solid is thought to have an orthorhombic structure. Calculate the positions D and 2θ for the plane…

A: Interpretation-  To calculate the position D and 2θ for the plane 111 expected in the diffraction…

Q: Calculate the radius of a Vanadium atom ( V) given that it’s density is 6.11g/cm3 and that it…

A: The number of particles per unit cell in a body centered cubic unit cell (Z) is equal to 2.The molar…

Q: How many (a) nearest neighbours, (b) next-nearest neighbours are there in a body-centred cubic…

A: SOLUTION: Step 1: (a) For BCC, each lattice points have 8 nearest neighbors (in the centers of the…

Q: electron-volt = (a) If an electron passes through an electrical potential difference of 1 V, it has…

A: 4.(a)According to the given data if the potential difference 1v then Energy is 1eVwavelength=0.225nm…

Q: The coordinates, in units of a, of the atoms in a cubic P unit cell are (0,0,0), (0,1,0), (0,0,1),…

A: Given: Coordinates: (0,0,0), (0,1,0), (0,0,1), (0,1,1), (1,0,0), (1,1,0), (1,0,1), and (1,1,1)

Q: Express the relationship between atomic radius (r) and the edge length (a) in the bcc unit cell.

A: Note that for a BCC unit cell, there will be one atom divided equally at all the 8 corners of the…

Q: Sketch the (110) plane in a bcc unit cell and give the positions of the atoms whose centers are…

A: For plane (110), represent movement in X, Y and Z direction, the direction is given by cartesian…

Q: State the possible Bravais lattices for centred cubic systems and briefly explain how General…

A: Any of 14 possible three-dimensional point configurations used to describe the ordered arrangement…

Q: 2.4 The unit cell for Platinum (Pt) has atoms which are located at each of the corners and at the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Assuming there is an endless chain of atoms with one atom in each unit cell, what is the shape of…

A: First of all let us consider the given data It is mentioned that it is the endless chain of atoms…

Q: Bismuth has a hexagonal structure, with a0 = 0.4546 nm and c0 = 1.186 nm. The density is 9.808 g…

A: According to the question, The ao = 0.4546 n, The co = 1.186 The density of the bismuth = 9.808…

Q: The Structure of Crystalline Solids If the atomic radius of a metal that has the face-centred cubic…

A: For a FCC crystal structure, the relationship between edge length (a) and the radius r is, a = 2√2 r…

Q: ii) Prove that the volume of an FCC unit cell, VC is; ?? = 16?3√2

A: I think you there is some mistyping in the question. The question should be Prove that the volume of…

Q: Professor Thiel's long-suffering grad student Quasimodo claims to have discovered a new phase of…

A: The objective of this question is to show the phase of molybdenum disilicide with a base-centered…

Q: How many atoms constitute one unit cell of a face-centred cubic crystal?

A: In face-centered cubic crystal; Total 3 atoms are present at 6 faces of the cube. One atom per…

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.