You are given a small bar of an unknown metal, M. You find the density of the metal to be 10.5 g/cm³. An X-ray diffraction experiment measures the edge of the unit cell as 409 pm. Assuming that the metal crystallizes in a face-centered cubic lattice, what metal is M most likely to be?   Pt,  Pb,  Rh,  Ag None of these

Q: An unknown metal is found to have a density of 7.1800 g/cm3 and to crystallize in a body-centered…

A: BCC has no. of atom /unit cell = 2

Q: Metal borides MBx exist for many transition metals.  a) What is the minimum radius for the host…

A: a) The radius of an atom in the octahedral void is related to the radius of the atoms forming the…

Q: 1. How many unit cells will be occupied by 16 atoms if the metal has face centered cubic structure?…

A: A question based on solid state, which is to be accomplished.

Q: Polonium is the only element known to crystallize in the simple cubic lattice. (a) What is the…

A: Bragg’s equation relating the wavelength and inter planar distance in a crystal is given below,…

Q: Silver (r = 0.144 nm) crystallizes in a face centered cubic cell. What is the volume of the unit…

A: The solution is as follows:

Q: When a particular substance crystallizes, it forms a body-centered cubic unit cell. It has a…

A:

Q: erf z 1.80 0.9891 1.90 0.9928 The accompanying figure shows three different crystallographic planes…

A: To Find: To draw the unit cell and find the crystal system the unit belongs and what would the…

Q: You've discovered what you think is a new face-centered cubic metal.  You find the density of this…

A: Given, The lattice is fcc density =5.58 g/cm3 edge length, a = 4.46×10-8 cm

Q: 2. A metal with atomic weight of 63.65 g/mol crystallizes with a face-centered cubic unit cell. The…

A:

Q: What type of lattice—primitive cubic, body-centered cubic,or face-centered cubic—does each of the…

A: a) CsCl has a body centred lattice as shown below  Here the Cs+ ions make the cubic lattice and Cl-…

Q: Potassium iodide has a face-centered cubic unit cell of jodide ions with potassium ions in…

A:

Q: tassium chloride adopts the rock salt-type (NaCl-type) structure with a face-centred cubic unit cell…

A: An face centred unit cell  contains  atoms  at all the corners of crystal lattice  and also at the…

Q: Calculate the packing fractions of (i) a primitive cubic unit cell, (ii) a bcc unit cell, (iii) an…

A: Packing fractions give us an idea about how well the atoms are packed in the unit cell. The packing…

Q: 1. Why is it valid to represent the structure of a crystalline solid by the structure of its unit…

A: “Since there are multiple questions and it is not mentioned that which one has to be solved so I am…

Q: Lead has a face-centered cubic lattice with all atoms at lattice points and a unit-cell edge length…

A:

Q: Imagine a cubic lattice in which X-m ions are placed on the unit cell corners and face centers and…

A:

Q: A simple cubic cell contains one metal atom with a metallic radius of 100 pm. a. Determine the…

A: In the given question we have to calculate the % packing efficiency of Simple cubic unit cell and…

Q: Metallic palladium crystallizes in a face-centered cubic lattice, with one Pd atom per lattice…

A: The solution is given below -

Q: At 1299ºC, where iron is still a solid (melting point 1538ºC), the unit cell for the most stable…

A: All matter can be classified as solid, liquid and gases mainly. In these physical states of matter,…

Q: A simple cubic cell contains one metal atom with a metallic radius of 100 pm. a. Determine the…

A: Radius of atom R = 100 pm = 100 * 10-12  m = 10-10 m    Note : As per guidelines we are answering…

Q: The edge length of unit cell of a metal having molecular weight 75 g/mol is 5 A which crystallizes…

A: 1) Determine the given cubic lattice is BCC or FCC or simple cubic from density formula. 2) Based on…

Q: Iridium (Ir) has a face-centered cubic unit cell with an edge length of 383.3 pm. Calculate the…

A: Given: Edge length of the unit cell = 383.3 pm = 383.3 × 10-10 cm.                       (Since 1 pm…

Q: Calcium fluoride forms a crystalline lattice in fluorite. The fluoride ions are the lighter spheres…

A: Given, CaF2 adopts Fluorite structure.

Q: An unknown metal is found to have a density of 7.8748 g/cm3 and to crystallize in a body-centered…

A:

Q: The crystal structure of copper is found to be FCC. If two neighboring copper atoms are at a…

A:

Q: At 1157ºC, where iron is still a solid (melting point 1538ºC), the unit cell for the most stable…

A:

Q: Calcium crystallizes in a face centred cubic struture. The edge length of its unit cell is 558.8pm…

A:

Q: Copper crystallizes in face centred cubic structure. The edge length of a unit cell is found to be…

A:

Q: Nickel, Ni, has a face-centered cubic structure with an edge length of 352 pm. What is the density…

A: The density of fcc unit cell of nickel is calculated in step two.

Q: The element rhodium (Rh) crystallizes with a Face Centered Cubic unit cell. The metallic radius of a…

A: Given: Radius of atom = 134 pm = 134 × 10-12                                    (Since 1 m = 1012…

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: Unit cell) calculate atomic radius in picometers; not sure how to get volume or side length if I…

A:

Q: Three different crystallographic planes for a unit cell of a fictional metal. a. Separately draw…

A: Given:

Q: For the structure of ZnS as shown on the right: a) Calculate the number of Zn and S ions in the unit…

A: ZnS has a face centered cubic close packing of S2- ions with Zn2+ occupying half of the tetrahedral…

Q: You are given a small bar of an unknown metal X. You find the density of the metal to be 11.3 g/cm³.…

A:

Q: The metal lithium crystallizes in a body-centered cubic lattice. If the density of lithium is 0.535…

A: Given: The density of lithium, d=0.535 g/cm3 For body-centered cubic, Z=2 The edge length of the…

Q: The density of copper metal is 8.95 g cm-3. If the radius of copper atom is 127.8 pm, is the copper…

A: The density is the ratio of mass and volume. Density (d) of the unit cell is given by using the…

Q: Which one of the following statements is INCORRECT?   a.  Polonium is the only metal that has a…

A: Mostly metals don't show primitive cubic lattice.  Alkali metals are comparatively of larger size…

Q: Zinc sulfide is an important industrial source of zinc and is also used as a white pigment in paint.…

A: Zinc sulfide is an inorganic compound. It is mainly found in mineral sphalerite and wurtzite . Zinc…

Q: A certain form of silver iodide adopts the zinc blende structure. The density of the salt is 5.69…

A: The anion forms a FCC lattice and the cation occupy 4 tetrahedral voids in zinc blende structure.…

Q: Molybdenum (Mo) (atomic mass= 95.94 g/mole and Density=10.2 g/cm^3) and Sodium(Na) (atomic mass and…

A: Given,  Atomic mass of Mo = M = 95.94 g/mole Density = 10.2 g/cm3  Atomic mass of Na = M = 22.99…

Q: The mineral clausthalite is composed of lead selenide (PbSe). This mineral adopts the NaCl structure…

A: Unit cell can be defined as the repeating unit in crystal structure.

Q: If the density of solid chromium is 7.15 g/cm3, what is the packing efficiency of Cr if it adopts a…

A: Packing efficiency is defined as the percentage of space occupied by constituent particle packed…

Q: A metal with atomic weight of 63.65 g/mol crystallizes with a face-centered cubic unit cell. The…

A:

Q: An unknown metal is found to have a density of 7.1800 g/cm3 and to crystallize in a body-centered…

A:

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.