19.2: Occurrence, Preparation, and Properties of Transition Metals and Their Compounds
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Transition metals are defined as those elements that have (or readily form) partially filled d orbitals. As shown in Figure \(\PageIndex{1}\), the d -block elements in groups 3–11 are transition elements. The f -block elements , also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals. The d orbitals fill with the copper family (group 11); for this reason, the next family (group 12) are technically not transition elements. However, the group 12 elements do display some of the same chemical properties and are commonly included in discussions of transition metals. Some chemists do treat the group 12 elements as transition metals.
The d -block elements are divided into the first transition series (the elements Sc through Cu), the second transition series (the elements Y through Ag), and the third transition series (the element La and the elements Hf through Au). Actinium, Ac, is the first member of the fourth transition series , which also includes Rf through Rg.
The f -block elements are the elements Ce through Lu, which constitute the lanthanide series (or lanthanoid series ), and the elements Th through Lr, which constitute the actinide series (or actinoid series ). Because lanthanum behaves very much like the lanthanide elements, it is considered a lanthanide element, even though its electron configuration makes it the first member of the third transition series. Similarly, the behavior of actinium means it is part of the actinide series, although its electron configuration makes it the first member of the fourth transition series.
Example \(\PageIndex{1}\): Valence Electrons in Transition Metals
Review how to write electron configurations, covered in the chapter on electronic structure and periodic properties of elements. Recall that for the transition and inner transition metals, it is necessary to remove the s electrons before the d or f electrons. Then, for each ion, give the electron configuration:
- cerium(III)
- lead(II)
- Ti 2 +
- Am 3 +
- Pd 2 +
For the examples that are transition metals, determine to which series they belong.
Solution
For ions, the s -valence electrons are lost prior to the d or f electrons.
- Ce 3 + [Xe]4 f 1 ; Ce 3 + is an inner transition element in the lanthanide series.
- Pb 2 + [Xe]6 s 2 5 d 10 4 f 14 ; the electrons are lost from the p orbital. This is a main group element.
- titanium(II) [Ar]3 d 2 ; first transition series
- americium(III) [Rn]5 f 6 ; actinide
- palladium(II) [Kr]4 d 8 ; second transition series
Exercise \(\PageIndex{1}\)
Give an example of an ion from the first transition series with no d electrons.
- Answer
-
V 5+ is one possibility. Other examples include Sc 3 + , Ti 4 + , Cr 6 + , and Mn 7 + .
Chemistry in Everyday Life: Uses of Lanthanides in Devices
Lanthanides (elements 57–71) are fairly abundant in the earth’s crust, despite their historic characterization as rare earth elements . Thulium, the rarest naturally occurring lanthanoid, is more common in the earth’s crust than silver (\(4.5 \times 10^{−5}~ \%\) versus \(0.79 \times 10^{−5}~\%\) by mass). There are 17 rare earth elements, consisting of the 15 lanthanoids plus scandium and yttrium. They are called rare because they were once difficult to extract economically, so it was rare to have a pure sample; due to similar chemical properties, it is difficult to separate any one lanthanide from the others. However, newer separation methods, such as ion exchange resins similar to those found in home water softeners, make the separation of these elements easier and more economical. Most ores that contain these elements have low concentrations of all the rare earth elements mixed together.
The commercial applications of lanthanides are growing rapidly. For example, europium is important in flat screen displays found in computer monitors, cell phones, and televisions. Neodymium is useful in laptop hard drives and in the processes that convert crude oil into gasoline (Figure \(\PageIndex{2}\)). Holmium is found in dental and medical equipment. In addition, many alternative energy technologies rely heavily on lanthanoids. Neodymium and dysprosium are key components of hybrid vehicle engines and the magnets used in wind turbines.
As the demand for lanthanide materials has increased faster than supply, prices have also increased. In 2008, dysprosium cost $110/kg; by 2014, the price had increased to $470/kg. Increasing the supply of lanthanoid elements is one of the most significant challenges facing the industries that rely on the optical and magnetic properties of these materials.
The transition elements have many properties in common with other metals. They are almost all hard, high-melting solids that conduct heat and electricity well. They readily form alloys and lose electrons to form stable cations. In addition, transition metals form a wide variety of stable coordination compounds , in which the central metal atom or ion acts as a Lewis acid and accepts one or more pairs of electrons. Many different molecules and ions can donate lone pairs to the metal center, serving as Lewis bases. In this chapter, we shall focus primarily on the chemical behavior of the elements of the first transition series.
Properties of the Transition Elements
Transition metals demonstrate a wide range of chemical behaviors. As can be seen from their reduction potentials (see Appendix H), some transition metals are strong reducing agents, whereas others have very low reactivity. For example, the lanthanides all form stable 3+ aqueous cations. The driving force for such oxidations is similar to that of alkaline earth metals such as Be or Mg, forming Be 2 + and Mg 2 + . On the other hand, materials like platinum and gold have much higher reduction potentials. Their ability to resist oxidation makes them useful materials for constructing circuits and jewelry.
Ions of the lighter d -block elements, such as Cr 3 + , Fe 3 + , and Co 2 + , form colorful hydrated ions that are stable in water. However, ions in the period just below these (Mo 3 + , Ru 3 + , and Ir 2 + ) are unstable and react readily with oxygen from the air. The majority of simple, water-stable ions formed by the heavier d -block elements are oxyanions such as and
Ruthenium, osmium, rhodium, iridium, palladium, and platinum are the platinum metals . With difficulty, they form simple cations that are stable in water, and, unlike the earlier elements in the second and third transition series, they do not form stable oxyanions.
Both the d - and f -block elements react with nonmetals to form binary compounds; heating is often required. These elements react with halogens to form a variety of halides ranging in oxidation state from 1+ to 6+. On heating, oxygen reacts with all of the transition elements except palladium, platinum, silver, and gold. The oxides of these latter metals can be formed using other reactants, but they decompose upon heating. The f -block elements, the elements of group 3, and the elements of the first transition series except copper react with aqueous solutions of acids, forming hydrogen gas and solutions of the corresponding salts.
Transition metals can form compounds with a wide range of oxidation states. Some of the observed oxidation states of the elements of the first transition series are shown in Figure \(\PageIndex{3}\). As we move from left to right across the first transition series, we see that the number of common oxidation states increases at first to a maximum towards the middle of the table, then decreases. The values in the table are typical values; there are other known values, and it is possible to synthesize new additions. For example, in 2014, researchers were successful in synthesizing a new oxidation state of iridium (9+).
For the elements scandium through manganese (the first half of the first transition series), the highest oxidation state corresponds to the loss of all of the electrons in both the s and d orbitals of their valence shells. The titanium(IV) ion, for example, is formed when the titanium atom loses its two 3 d and two 4 s electrons. These highest oxidation states are the most stable forms of scandium, titanium, and vanadium. However, it is not possible to continue to remove all of the valence electrons from metals as we continue through the series. Iron is known to form oxidation states from 2+ to 6+, with iron(II) and iron(III) being the most common. Most of the elements of the first transition series form ions with a charge of 2+ or 3+ that are stable in water, although those of the early members of the series can be readily oxidized by air.
The elements of the second and third transition series generally are more stable in higher oxidation states than are the elements of the first series. In general, the atomic radius increases down a group, which leads to the ions of the second and third series being larger than are those in the first series. Removing electrons from orbitals that are located farther from the nucleus is easier than removing electrons close to the nucleus. For example, molybdenum and tungsten, members of group 6, are limited mostly to an oxidation state of 6+ in aqueous solution. Chromium, the lightest member of the group, forms stable Cr 3 + ions in water and, in the absence of air, less stable Cr 2 + ions. The sulfide with the highest oxidation state for chromium is Cr 2 S 3 , which contains the Cr 3 + ion. Molybdenum and tungsten form sulfides in which the metals exhibit oxidation states of 4+ and 6+.
Example \(\PageIndex{2}\): Activity of the Transition Metals
Which is the strongest oxidizing agent in acidic solution: dichromate ion, which contains chromium(VI), permanganate ion, which contains manganese(VII), or titanium dioxide, which contains titanium(IV)?
Solution
First, we need to look up the reduction half reactions (in Appendix L) for each oxide in the specified oxidation state:
\[\begin{array}{cc}
Cr_2 O_7^{2-}+14 H^{+}+6 e^{-} \longrightarrow 2 Cr^{3+}+7 H_2 O & +1.33 V \\
MnO_4^{-}+8 H^{+}+5 e^{-} \longrightarrow Mn^{2+}+ H_2 O & +1.51 V \\
TiO_2+4 H^{+}+2 e^{-} \longrightarrow Ti^{2+}+2 H_2 O & -0.50 V
\end{array} \nonumber \]
A larger reduction potential means that it is easier to reduce the reactant. Permanganate, with the largest reduction potential, is the strongest oxidizer under these conditions. Dichromate is next, followed by titanium dioxide as the weakest oxidizing agent (the hardest to reduce) of this set.
Exercise \(\PageIndex{2}\)
Predict what reaction (if any) will occur between HCl and Co( s ), and between HBr and Pt( s ). You will need to use the standard reduction potentials from Appendix L.
- Answer
-
\[\ce{Co(s) + 2 HCl \longrightarrow H2 + CoCl2(aq)} \nonumber \]
no reaction because Pt( s ) will not be oxidized by H +
Preparation of the Transition Elements
Ancient civilizations knew about iron, copper, silver, and gold. The time periods in human history known as the Bronze Age and Iron Age mark the advancements in which societies learned to isolate certain metals and use them to make tools and goods. Naturally occurring ores of copper, silver, and gold can contain high concentrations of these metals in elemental form (Figure \(\PageIndex{4}\)). Iron, on the other hand, occurs on earth almost exclusively in oxidized forms, such as rust (Fe 2 O 3 ). The earliest known iron implements were made from iron meteorites. Surviving iron artifacts dating from approximately 4000 to 2500 BC are rare, but all known examples contain specific alloys of iron and nickel that occur only in extraterrestrial objects, not on earth. It took thousands of years of technological advances before civilizations developed iron smelting , the ability to extract a pure element from its naturally occurring ores and for iron tools to become common.
Generally, the transition elements are extracted from minerals found in a variety of ores. However, the ease of their recovery varies widely, depending on the concentration of the element in the ore, the identity of the other elements present, and the difficulty of reducing the element to the free metal.
In general, it is not difficult to reduce ions of the d -block elements to the free element. Carbon is a sufficiently strong reducing agent in most cases. However, like the ions of the more active main group metals, ions of the f -block elements must be isolated by electrolysis or by reduction with an active metal such as calcium.
We shall discuss the processes used for the isolation of iron, copper, and silver because these three processes illustrate the principal means of isolating most of the d -block metals. In general, each of these processes involves three principal steps: preliminary treatment, smelting, and refining.
- Preliminary treatment. In general, there is an initial treatment of the ores to make them suitable for the extraction of the metals. This usually involves crushing or grinding the ore, concentrating the metal-bearing components, and sometimes treating these substances chemically to convert them into compounds that are easier to reduce to the metal.
- Smelting. The next step is the extraction of the metal in the molten state, a process called smelting, which includes reduction of the metallic compound to the metal. Impurities may be removed by the addition of a compound that forms a slag—a substance with a low melting point that can be readily separated from the molten metal.
- Refining. The final step in the recovery of a metal is refining the metal. Low boiling metals such as zinc and mercury can be refined by distillation. When fused on an inclined table, low melting metals like tin flow away from higher-melting impurities. Electrolysis is another common method for refining metals.
Isolation of Iron
The early application of iron to the manufacture of tools and weapons was possible because of the wide distribution of iron ores and the ease with which iron compounds in the ores could be reduced by carbon. For a long time, charcoal was the form of carbon used in the reduction process. The production and use of iron became much more widespread about 1620, when coke was introduced as the reducing agent. Coke is a form of carbon formed by heating coal in the absence of air to remove impurities.
The first step in the metallurgy of iron is usually roasting the ore (heating the ore in air) to remove water, decomposing carbonates into oxides, and converting sulfides into oxides. The oxides are then reduced in a blast furnace that is 80–100 feet high and about 25 feet in diameter (Figure \(\PageIndex{5}\)) in which the roasted ore, coke, and limestone (impure CaCO 3 ) are introduced continuously into the top. Molten iron and slag are withdrawn at the bottom. The entire stock in a furnace may weigh several hundred tons.
Near the bottom of a furnace are nozzles through which preheated air is blown into the furnace. As soon as the air enters, the coke in the region of the nozzles is oxidized to carbon dioxide with the liberation of a great deal of heat. The hot carbon dioxide passes upward through the overlying layer of white-hot coke, where it is reduced to carbon monoxide:
\[\ce{CO2(g) + C(s) \longrightarrow 2 CO(g)} \nonumber \]
The carbon monoxide serves as the reducing agent in the upper regions of the furnace. The individual reactions are indicated in Figure \(\PageIndex{5}\).
The iron oxides are reduced in the upper region of the furnace. In the middle region, limestone (calcium carbonate) decomposes, and the resulting calcium oxide combines with silica and silicates in the ore to form slag. The slag is mostly calcium silicate and contains most of the commercially unimportant components of the ore:
\[\ce{CaO(s) + SiO2(s) \longrightarrow CaSiO3(l)} \nonumber \]
Just below the middle of the furnace, the temperature is high enough to melt both the iron and the slag. They collect in layers at the bottom of the furnace; the less dense slag floats on the iron and protects it from oxidation. Several times a day, the slag and molten iron are withdrawn from the furnace. The iron is transferred to casting machines or to a steelmaking plant (Figure \(\PageIndex{6}\)).
Much of the iron produced is refined and converted into steel. Steel is made from iron by removing impurities and adding substances such as manganese, chromium, nickel, tungsten, molybdenum, and vanadium to produce alloys with properties that make the material suitable for specific uses. Most steels also contain small but definite percentages of carbon (0.04%–2.5%). However, a large part of the carbon contained in iron must be removed in the manufacture of steel; otherwise, the excess carbon would make the iron brittle.
Isolation of Copper
The most important ores of copper contain copper sulfides (such as covellite, CuS), although copper oxides (such as tenorite, CuO) and copper hydroxycarbonates [such as malachite, Cu 2 (OH) 2 CO 3 ] are sometimes found. In the production of copper metal, the concentrated sulfide ore is roasted to remove part of the sulfur as sulfur dioxide. The remaining mixture, which consists of Cu 2 S, FeS, FeO, and SiO 2 , is mixed with limestone, which serves as a flux (a material that aids in the removal of impurities), and heated. Molten slag forms as the iron and silica are removed by Lewis acid-base reactions:
\[\begin{align*}
\ce{CaCO3(s) + SiO2(s) &\longrightarrow CaSiO3(l) + CO2(g)} \\
\ce{FeO(s) + SiO2(s) &\longrightarrow FeSiO3(l)}
\end{align*} \]
In these reactions, the silicon dioxide behaves as a Lewis acid, which accepts a pair of electrons from the Lewis base (the oxide ion).
Reduction of the Cu 2 S that remains after smelting is accomplished by blowing air through the molten material. The air converts part of the Cu 2 S into Cu 2 O. As soon as copper(I) oxide is formed, it is reduced by the remaining copper(I) sulfide to metallic copper:
\[\begin{align*}
\ce{2 Cu2S(l) + 3 O2(g) & \longrightarrow 2 Cu2O(l) + 2 SO2(g)} \\
\ce{2 Cu2O(l) + Cu2S(l) & \longrightarrow 6 Cu(l) + SO2(g)}
\end{align*} \]
The copper obtained in this way is called blister copper because of its characteristic appearance, which is due to the air blisters it contains (Figure \(\PageIndex{7}\)). This impure copper is cast into large plates, which are used as anodes in the electrolytic refining of the metal (which is described in the chapter on electrochemistry).
Isolation of Silver
Silver sometimes occurs in large nuggets (Figure \(\PageIndex{8}\)) but more frequently in veins and related deposits. At one time, panning was an effective method of isolating both silver and gold nuggets. Due to their low reactivity, these metals, and a few others, occur in deposits as nuggets. The discovery of platinum was due to Spanish explorers in Central America mistaking platinum nuggets for silver. When the metal is not in the form of nuggets, it often useful to employ a process called hydrometallurgy to separate silver from its ores. Hydrology involves the separation of a metal from a mixture by first converting it into soluble ions and then extracting and reducing them to precipitate the pure metal. In the presence of air, alkali metal cyanides readily form the soluble dicyanoargentate(I) ion, from silver metal or silver-containing compounds such as Ag 2 S and AgCl. Representative equations are:
\[\begin{align*}
\ce{4 Ag(s) + 8 CN^{-}(aq) + O2(g) + 2 H2O (l) \longrightarrow 4\left[ Ag(CN)2 \right]^{-}(aq) + 4 OH^{-}(aq)} \\
\ce{2 Ag2S(s) + 8 CN^{-}(aq) + O2(g) + 2 H2O(l) \longrightarrow 4\left[ Ag(CN)2 \right]^{-}(aq) + 2 S(s) + 4 OH^{-}(aq)} \\
\ce{AgCl(s) + 2 CN^{-}(aq) \longrightarrow \left[ Ag(CN)2 \right]^{-}(aq) + Cl^{-}(aq)}
\end{align*} \]
The silver is precipitated from the cyanide solution by the addition of either zinc or iron(II) ions, which serves as the reducing agent:
\[\ce{ 2\left[ Ag(CN)2\right]^{-}(aq) + Zn(s) \longrightarrow 2 Ag(s) + \left[ Zn(CN)4\right]^{2-}(aq)} \nonumber \]
Example \(\PageIndex{3}\): Refining Redox
One of the steps for refining silver involves converting silver into dicyanoargenate(I) ions:
\[\ce{4 Ag(s) + 8 CN^{-}(aq) + O_2(g) + 2 H_2O(l) \longrightarrow 4 \left[ Ag(CN)2 \right]^{-}(aq) + 4 OH^{-}(aq)} \nonumber \]
Explain why oxygen must be present to carry out the reaction. Why does the reaction not occur as:
\[\ce{4 Ag(s) + 8 CN^{-}(aq) \longrightarrow 4\left[ Ag(CN)2\right]^{-}(aq)} ? \nonumber \]
Solution
The charges, as well as the atoms, must balance in reactions. The silver atom is being oxidized from the 0 oxidation state to the 1+ state. Whenever something loses electrons, something must also gain electrons (be reduced) to balance the equation. Oxygen is a good oxidizing agent for these reactions because it can gain electrons to go from the 0 oxidation state to the 2− state.
Exercise \(\PageIndex{3}\)
During the refining of iron, carbon must be present in the blast furnace. Why is carbon necessary to convert iron oxide into iron?
- Answer
-
The carbon is converted into CO, which is the reducing agent that accepts electrons so that iron(III) can be reduced to iron(0).
Transition Metal Compounds
The bonding in the simple compounds of the transition elements ranges from ionic to covalent. In their lower oxidation states, the transition elements form ionic compounds; in their higher oxidation states, they form covalent compounds or polyatomic ions. The variation in oxidation states exhibited by the transition elements gives these compounds a metal-based, oxidation-reduction chemistry. The chemistry of several classes of compounds containing elements of the transition series follows.
Halides
Anhydrous halides of each of the transition elements can be prepared by the direct reaction of the metal with halogens. For example:
\[\ce{2 Fe(s) + 3 Cl2(g) \longrightarrow 2 FeCl3(s)} \nonumber \]
Heating a metal halide with additional metal can be used to form a halide of the metal with a lower oxidation state:
\[\ce{Fe(s) + 2 FeCl3(s) \longrightarrow 3 FeCl2(s)} \nonumber \]
The stoichiometry of the metal halide that results from the reaction of the metal with a halogen is determined by the relative amounts of metal and halogen and by the strength of the halogen as an oxidizing agent. Generally, fluorine forms fluoride-containing metals in their highest oxidation states. The other halogens may not form analogous compounds.
In general, the preparation of stable water solutions of the halides of the metals of the first transition series is by the addition of a hydrohalic acid to carbonates, hydroxides, oxides, or other compounds that contain basic anions. Sample reactions are:
\[\begin{align*}
\ce{NiCO3(s) + 2 HF(aq) \longrightarrow NiF2(aq) + H2O(l) + CO2(g)} \\
\ce{Co(OH)2(s) + 2 HBr(aq) \longrightarrow CoBr2(aq) + 2 H2O(l)}
\end{align*} \]
Most of the first transition series metals also dissolve in acids, forming a solution of the salt and hydrogen gas. For example:
\[\ce{Cr(s) + 2 HCl(aq) \longrightarrow CrCl2(aq) + H2(g)} \nonumber \]
The polarity of bonds with transition metals varies based not only upon the electronegativities of the atoms involved but also upon the oxidation state of the transition metal. Remember that bond polarity is a continuous spectrum with electrons being shared evenly (covalent bonds) at one extreme and electrons being transferred completely (ionic bonds) at the other. No bond is ever 100% ionic, and the degree to which the electrons are evenly distributed determines many properties of the compound. Transition metal halides with low oxidation numbers form more ionic bonds. For example, titanium(II) chloride and titanium(III) chloride (TiCl 2 and TiCl 3 ) have high melting points that are characteristic of ionic compounds, but titanium(IV) chloride (TiCl 4 ) is a volatile liquid, consistent with having covalent titanium-chlorine bonds. All halides of the heavier d -block elements have significant covalent characteristics.
The covalent behavior of the transition metals with higher oxidation states is exemplified by the reaction of the metal tetrahalides with water. Like covalent silicon tetrachloride, both the titanium and vanadium tetrahalides react with water to give solutions containing the corresponding hydrohalic acids and the metal oxides:
\[\begin{aligned}
\ce{SiCl4(l) + 2 H2O(l) &\longrightarrow SiO2(s) + 4 HCl(aq)}\\
\ce{TiCl4(l) + 2 H2O(l) &\longrightarrow TiO2(s) + 4 HCl(aq)}
\end{aligned} \nonumber \]
Oxides
As with the halides, the nature of bonding in oxides of the transition elements is determined by the oxidation state of the metal. Oxides with low oxidation states tend to be more ionic, whereas those with higher oxidation states are more covalent. These variations in bonding are because the electronegativities of the elements are not fixed values. The electronegativity of an element increases with increasing oxidation state. Transition metals in low oxidation states have lower electronegativity values than oxygen; therefore, these metal oxides are ionic. Transition metals in very high oxidation states have electronegativity values close to that of oxygen, which leads to these oxides being covalent.
The oxides of the first transition series can be prepared by heating the metals in air. These oxides are Sc 2 O 3 , TiO 2 , V 2 O 5 , Cr 2 O 3 , Mn 3 O 4 , Fe 3 O 4 , Co 3 O 4 , NiO, and CuO.
Alternatively, these oxides and other oxides (with the metals in different oxidation states) can be produced by heating the corresponding hydroxides, carbonates, or oxalates in an inert atmosphere. Iron(II) oxide can be prepared by heating iron(II) oxalate, and cobalt(II) oxide is produced by heating cobalt(II) hydroxide:
\[\begin{gathered}
\ce{FeC2O4(s) \longrightarrow FeO(s) + CO(g) + CO2(g)} \\
\ce{Co(OH)2(s) \longrightarrow CoO(s) + H2O (g)}
\end{gathered} \nonumber \]
With the exception of CrO 3 and Mn 2 O 7 , transition metal oxides are not soluble in water. They can react with acids and, in a few cases, with bases. Overall, oxides of transition metals with the lowest oxidation states are basic (and react with acids), the intermediate ones are amphoteric, and the highest oxidation states are primarily acidic. Basic metal oxides at a low oxidation state react with aqueous acids to form solutions of salts and water. Examples include the reaction of cobalt(II) oxide accepting protons from nitric acid, and scandium(III) oxide accepting protons from hydrochloric acid:
\[\begin{align*}
\ce{CoO(s) + 2 HNO3(aq) &\longrightarrow Co(NO3)2(aq) + H2O(l)} \\
\ce{Sc2O3(s) + 6 HCl(aq) &\longrightarrow 2 ScCl3(aq) + 3 H2O(l)}
\end{align*}]
The oxides of metals with oxidation states of 4+ are amphoteric, and most are not soluble in either acids or bases. Vanadium(V) oxide, chromium(VI) oxide, and manganese(VII) oxide are acidic. They react with solutions of hydroxides to form salts of the oxyanions and \(\ce{VO4^{3−}\), \(\ce{CrO4^{2−}\), and \(\ce{MnO4−}\). For example, the complete ionic equation for the reaction of chromium(VI) oxide with a strong base is given by:
\[\ce{CrO3(s) + 2 Na^{+}(aq) + 2 OH^{-}(aq) \longrightarrow 2 Na^{+}(aq) + CrO4^{2-}(aq) + H2O(l)} \nonumber \]
Chromium(VI) oxide and manganese(VII) oxide react with water to form the acids H 2 CrO 4 and HMnO 4 , respectively.
Hydroxides
When a soluble hydroxide is added to an aqueous solution of a salt of a transition metal of the first transition series, a gelatinous precipitate forms. For example, adding a solution of sodium hydroxide to a solution of cobalt sulfate produces a gelatinous pink or blue precipitate of cobalt(II) hydroxide. The net ionic equation is:
\[Co^{2+}(aq) +2 OH^{-}(aq) \longrightarrow Co ( OH )_2(s) \nonumber \]
In this and many other cases, these precipitates are hydroxides containing the transition metal ion, hydroxide ions, and water coordinated to the transition metal. In other cases, the precipitates are hydrated oxides composed of the metal ion, oxide ions, and water of hydration:
\[4 Fe^{3+}(aq) +6 OH^{-}(aq) + n H_2 O (l) \longrightarrow 2 Fe_2 O_3 \cdot( n +3) H_2 O (s) \nonumber \]
These substances do not contain hydroxide ions. However, both the hydroxides and the hydrated oxides react with acids to form salts and water. When precipitating a metal from solution, it is necessary to avoid an excess of hydroxide ion, as this may lead to complex ion formation as discussed later in this chapter. The precipitated metal hydroxides can be separated for further processing or for waste disposal.
Carbonates
Many of the elements of the first transition series form insoluble carbonates. It is possible to prepare these carbonates by the addition of a soluble carbonate salt to a solution of a transition metal salt. For example, nickel carbonate can be prepared from solutions of nickel nitrate and sodium carbonate according to the following net ionic equation:
\[Ni^{2+}(aq) + CO_3{ }^{2-} \longrightarrow NiCO_3(s) \nonumber \]
The reactions of the transition metal carbonates are similar to those of the active metal carbonates. They react with acids to form metals salts, carbon dioxide, and water. Upon heating, they decompose, forming the transition metal oxides.
Other Salts
In many respects, the chemical behavior of the elements of the first transition series is very similar to that of the main group metals. In particular, the same types of reactions that are used to prepare salts of the main group metals can be used to prepare simple ionic salts of these elements.
A variety of salts can be prepared from metals that are more active than hydrogen by reaction with the corresponding acids: Scandium metal reacts with hydrobromic acid to form a solution of scandium bromide:
\[2 Sc (s)+6 HBr (aq) \longrightarrow 2 ScBr_3(aq) +3 H_2(g) \nonumber \]
The common compounds that we have just discussed can also be used to prepare salts. The reactions involved include the reactions of oxides, hydroxides, or carbonates with acids. For example:
\[Ni ( OH )_2(s)+2 H_3 O^{+}(aq) +2 ClO_4^{-}(aq) \longrightarrow Ni^{2+}(aq) +2 ClO_4^{-}(aq) +4 H_2 O (l) \nonumber \]
Substitution reactions involving soluble salts may be used to prepare insoluble salts. For example:
\[Ba^{2+}(aq) +2 Cl^{-}(aq) +2 K^{+}(aq) + CrO_4^{2-}(aq) \longrightarrow BaCrO_4(s)+2 K^{+}(aq) +2 Cl^{-}(aq) \nonumber \]
In our discussion of oxides in this section, we have seen that reactions of the covalent oxides of the transition elements with hydroxides form salts that contain oxyanions of the transition elements.
How Sciences Interconnect: High Temperature Superconductors
A superconductor is a substance that conducts electricity with no resistance. This lack of resistance means that there is no energy loss during the transmission of electricity. This would lead to a significant reduction in the cost of electricity.
Most currently used, commercial superconducting materials, such as NbTi and Nb 3 Sn, do not become superconducting until they are cooled below 23 K (−250 °C). This requires the use of liquid helium, which has a boiling temperature of 4 K and is expensive and difficult to handle. The cost of liquid helium has deterred the widespread application of superconductors.
One of the most exciting scientific discoveries of the 1980s was the characterization of compounds that exhibit superconductivity at temperatures above 90 K. (Compared to liquid helium, 90 K is a high temperature.) Typical among the high-temperature superconducting materials are oxides containing yttrium (or one of several rare earth elements), barium, and copper in a 1:2:3 ratio. The formula of the ionic yttrium compound is YBa 2 Cu 3 O 7 .
The new materials become superconducting at temperatures close to 90 K (Figure \(\PageIndex{9}\)), temperatures that can be reached by cooling with liquid nitrogen (boiling temperature of 77 K). Not only are liquid nitrogen-cooled materials easier to handle, but the cooling costs are also about 1000 times lower than for liquid helium.
Further advances during the same period included materials that became superconducting at even higher temperatures and with a wider array of materials. The DuPont team led by Uma Chowdry and Arthur Sleight identified Bismouth-Strontium-Copper-Oxides that became superconducting at temperatures as high as 110 K and, importantly, did not contain rare earth elements. Advances continued through the subsequent decades until, in 2020, a team led by Ranga Dias at University of Rochester announced the development of a room-temperature superconductor, opening doors to widespread applications. More research and development is needed to realize the potential of these materials, but the possibilities are very promising.
Although the brittle, fragile nature of these materials presently hampers their commercial applications, they have tremendous potential that researchers are hard at work improving their processes to help realize. Superconducting transmission lines would carry current for hundreds of miles with no loss of power due to resistance in the wires. This could allow generating stations to be located in areas remote from population centers and near the natural resources necessary for power production. The first project demonstrating the viability of high-temperature superconductor power transmission was established in New York in 2008.
Researchers are also working on using this technology to develop other applications, such as smaller and more powerful microchips. In addition, high-temperature superconductors can be used to generate magnetic fields for applications such as medical devices, magnetic levitation trains, and containment fields for nuclear fusion reactors (Figure \(\PageIndex{10}\)).
Link to Learning
Watch how a high-temperature superconductor levitates around a magnetic racetrack in the video.


3.6: Intrinsic Values and Enhanced Worth of Metals
Some of the materials prized by artists and patrons become more valuable because of these artistic uses; others are valuable for their intrinsic worth as raw substance. From the earliest times, metals such as gold, silver, iron, and copper were used and traded in their natural states, as they came from the earth. They were mixed with other materials to create alloys, used for minting coins and forming sculptural objects. Among the most prominent metal materials first used for art were iron and bronze; forging and casting them were among the earliest complex artistic processes devised. Brass (copper alloyed with tin, lead, and/or other metals) and the harder, more durable bronze have been wide- ly used for grand public monuments that have fine detail, weather well, and can be hollow cast to reduce the amount of metal used. (Figures 3.29 and 3.30). Because forging and casting are complex and highly skilled processes, a viewer should know that an object made of this material was a significant statement for the artist or patron to make, one involving consider- able planning and staging to accomplish the work.


9: Statics and Torque
How can we guarantee that a body is in equilibrium and what can we learn from systems that are in equilibrium? There are actually two conditions that must be satisfied to achieve equilibrium. These conditions are the topics of the first two sections of this chapter.
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- 9.0: Prelude to Statics and Torque
- Statics is the study of forces in equilibrium, a large group of situations that makes up a special case of Newton’s second law. We have already considered a few such situations; in this chapter, we cover the topic more thoroughly, including consideration of such possible effects as the rotation and deformation of an object by the forces acting on it.
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- 9.2: The Second Condition for Equilibrium
- The second condition necessary to achieve equilibrium involves avoiding accelerated rotation (maintaining a constant angular velocity. A rotating body or system can be in equilibrium if its rate of rotation is constant and remains unchanged by the forces acting on it. To understand what factors affect rotation, let us think about what happens when you open an ordinary door by rotating it on its hinges.
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- 9.3: Stability
- There are three types of equilibrium: stable, unstable, and neutral. A system is in stable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in a direction opposite to the direction of the displacement. A system is in unstable equilibrium if, when displaced, it experiences a net force or torque in the same direction as the displacement from equilibrium. A neutral equilibrium is if its equilibrium is independent of displacements from its original position.
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- 9.4: Applications of Statics, Including Problem-Solving Strategies
- Statics can be applied to a variety of situations, ranging from raising a drawbridge to bad posture and back strain. We begin with a discussion of problem-solving strategies specifically used for statics. Since statics is a special case of Newton’s laws, both the general problem-solving strategies and the special strategies for Newton’s laws, discussed in Problem-Solving Strategies, still apply.
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- 9.5: Simple Machines
- Simple machines are devices that can be used to multiply or augment a force that we apply – often at the expense of a distance through which we apply the force. Levers, gears, pulleys, wedges, and screws are some examples of machines. Energy is still conserved for these devices because a machine cannot do more work than the energy put into it. Machines can reduce the input force that is needed to perform the job. The ratio of output to input force magnitudes is called its mechanical advantage.
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- 9.6: Forces and Torques in Muscles and Joints
- Muscles, bones, and joints are some of the most interesting applications of statics. There are some surprises. Muscles, for example, exert far greater forces than we might think. Figure shows a forearm holding a book and a schematic diagram of an analogous lever system. The schematic is a good approximation for the forearm, which looks more complicated than it is, and we can get some insight into the way typical muscle systems function by analyzing it.
Thumbnails: Relationship between force (F), torque(τ), momentum (p), and angular momentum (L) vectors in a rotating system. (r) is the radius. (Public domain; Yawe).