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A cubic unit cell contains manganese ions at the corners and fluoride ions at the center of each edge.(a) What is the empirical formula of this compound? Explain your answer.(b) What is the coordination number of the $\mathrm{Mn}^{3+}$ ion?(c) Calculate the edge length of the unit cell if the radius of a Mn' $^{3+}$ ion is 0.65 $\mathrm{A}$ .(d) Calculate the density of the compound.
a) $\mathrm{MnF}_{3}$b) 6c) 4.02 $\mathrm{A}$d) 2.86 $\mathrm{gcm}^{-3}$
Chemistry 102
Chapter 10
Liquids and Solids
Liquids
Solids
Carleton College
Brown University
University of Toronto
Lectures
04:08
In physics, a solid is a s…
03:07
A liquid is a nearly incom…
02:44
The structure of manganese…
01:39
One of the various mangane…
02:25
Perovskite is a compound w…
02:30
The mineral fluorite, whic…
02:17
23.8 Cesium chloride, brom…
04:43
A unit cell of cesium chlo…
01:07
The unit cell of nickel ar…
01:20
Calcium fluoride is the we…
03:23
03:38
Spinel is a mineral that c…
05:49
02:47
Tungsten crystallizes in a…
01:40
Barium crystallizes in a b…
03:24
The CsCl structure is a si…
01:32
A drawing of the NaCl unit…
07:13
$\mathrm{CaTiO}_{3},$ a pe…
05:47
Barium metal crystallizes …
The unit cell of a compoun…
04:56
A manganese complex formed…
in a unit cell. Each atom at corner issued by eight other units. L. Hence each unit cell consists off one by eight atom, the edge off the atoms that each off the edges are shared by four units. L Each unit cell consists of one by four Adam for about a cubic unit. Cell contains manganese iron at the corner and fluoride ions at the center. A cube has eight corner than two alleges the total number of magnesium will be won by the total number of Florida and will be three. Comparing their ratio, the compound has a form love M F. Three. The coordination number refers to the nearest neighbor off atom in the lattice. Hence, there are total A six Adam that are in contact with one magnesium iron off rich, one above the plain, one below the plane and four on the play. The coordination number off Yemen. Three positive turns out to be six. Shifting to Potsie. Assume that the fluoride ions are small in size. The edge Elin can be found out by using the Ionic radius off mag knees as shown in the diagram. Let a be the angel unde R B the Ionic radius off Magnus and our negative b the radius off the right line, adding all the values we can find the vigilant A that turns out to be 4.0 to Armstrong for body one mask off. One mole off Magnus iron is 54.90 and that off your iodine is 19. Graham. The nearest the number off Adam in one mole off Magne Zor fluoride is 6.0, going to tenders for 23 Therefore, mask off him entry positive line, contained in a unit cell is 9.12 into 10 days to put 23 ground, whereas the moss off three fluoride negative iron containing the unit cell turns out to be 9.47 Entertain this two part negative or 23. The total mass is addition off boot, that is 18.6 into 10 days to part minus 23. Volume is side Q. Hence the volume is 65.0 into 10 days. About 24. We can calculate the density by using formula mass contained in a unit cell divided by William off your itself. The density off MNF three turns out to be 2.86 grand per centimeter cube
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