Physical Chemistry Third Edition

1162 28 The Structure of Solids, Liquids, and Polymers b. How many bases are there in a unit cell? c.The density of CsCl is 3988 ...

28.2 Crystal Vibrations 1163 The Einstein Crystal Model This model assumes that all of the vibrational normal modes act like har ...

1164 28 The Structure of Solids, Liquids, and Polymers We can now write formulas for the thermodynamic functions of the Einstein ...

28.2 Crystal Vibrations 1165 This formula agrees with the empiricallaw of Dulong and Petit, which states that the molar heat cap ...

1166 28 The Structure of Solids, Liquids, and Polymers For fairly large values of the integers, the number of sets of integers s ...

28.2 Crystal Vibrations 1167 EXAMPLE28.4 CalculateνDfor copper, which has a density of 8.96 g cm−^1. The speed of sound in coppe ...

1168 28 The Structure of Solids, Liquids, and Polymers whereU 0 is the vibrational ground-state energy. Since we have a continuo ...

28.2 Crystal Vibrations 1169 6 4 Pb
D
90.3 K Ag
D
213 K AI
D
389 K C (diamond) (^2)
D
1890 K 1.0 2.0 log 10 (T/ 1 K) 3.0 ...

1170 28 The Structure of Solids, Liquids, and Polymers the upper limit of the integral can be extended to infinity without serio ...

28.3 The Electronic Structure of Crystalline Solids 1171 b.Find the value of the frequencyνcorresponding to the Einstein tempera ...

1172 28 The Structure of Solids, Liquids, and Polymers as an example. A gold atom in its ground state has filled subshells excep ...

28.3 The Electronic Structure of Crystalline Solids 1173 800 640 Au 4s Au 4p1/2 Au 4p3/2 Au 5p3/2 Au 4d3/2,5/2 C 1s Au 4f5/2,7/2 ...

1174 28 The Structure of Solids, Liquids, and Polymers be a semiconductor. If the band gap is large compared withkBT, there will ...

28.3 The Electronic Structure of Crystalline Solids 1175 5 electrons 3 d 4 s 5 electrons 3 d (a) Fermi surface Copper 1 electron ...

1176 28 The Structure of Solids, Liquids, and Polymers wherenx,ny, andnzare integers. The situation is similar to that of a part ...

28.3 The Electronic Structure of Crystalline Solids 1177 A typical metal has a density of mobile electrons approximately equal t ...

1178 28 The Structure of Solids, Liquids, and Polymers EXAMPLE28.8 a.Find the electronic contribution to the heat capacity of co ...

28.4 Electrical Resistance in Solids 1179 The ratio of the electronic contribution to the vibrational contribution is Ratio 0 . ...

1180 28 The Structure of Solids, Liquids, and Polymers We divide this equation byN, multiply bydt, and perform an integration fr ...

28.4 Electrical Resistance in Solids 1181 This equation conforms to Ohm’s law with the conductivity given by σ Ne^2 τ m (28.4-9 ...