Appendix IV.Solutions to Selected Problems 423 3.8.[111]direction(close packed)lies in (110)plane(not close packed) 3.9.CsCl (a)=8;(b)one Cs and one Cl ion(c)ao=2(r+R)/V3 NaCl (a)=6;(b)4 Cl ions and 4 Na ions (c)ao=2(r+R) 3.10.(a)Each Zn ion has four nearest S ions. (b)Four Zn ions and four S ions,that is,eight ions. (c)ao=4(r+R)/V3 3.11.0.34 3.12.(a)0.707;(b)0.866 3.13.(a)0.340;(b)0.907 3.14.8.933(g/cm3) 3.15.[1100] V2 3.16.a 2 Chapter 5 5.1.Liquid:54.5% Solid:45.5% 5.2.Peritectic at 799C: a+L→B Peritectic at756°C: B+L→Y Peritectoid at640°C: y+e→g Eutectic-type (not named)at 640C: y→e+L Peritectoid at 590C: y+→8 Eutectoid at 586C: B→a+y Eutectoid at 582C: g→8+e Eutectoid at520°C: y→a+8 Peritectic at415°C: e+L→7 Eutectoid at350°C: 8→a+e Eutectic at227°C: L→m+B-Sn Peritectoid at189°C: e+→7 Eutectoid at 186C: 7→n'+B-Sn Nonstoichiometric phase e forms at 676C Allotropic transformation from B-Sn-a-Sn at 13.2C Note:Some transformations are hardly discernible in Fig- ure5.17. 5.3.(a)8.8 mass Cu in Ag at 780C (b)8.0 mass Ag in Cu at 780C 5.4.negligible 5.5.a+0 Ca=1.5 mass Cu Co=52 mass Cu 5.6.About850°C 5.7.No 5.8.(a)780°C (b)Ag-28.1 mass Cu (c)About830°C (d)About 6 mass Cu3.8. [111] direction (close packed) lies in (110) plane (not close packed) 3.9. CsCl (a)
8; (b) one Cs and one Cl ion (c) a0
2(r R)/3 NaCl (a)
6; (b) 4 Cl ions and 4 Na ions (c) a0
2(r R) 3.10. (a) Each Zn ion has four nearest S ions. (b) Four Zn ions and four S ions, that is, eight ions. (c) a0
4(r R)/3 3.11. 0.34 3.12. (a) 0.707; (b) 0.866 3.13. (a) 0.340; (b) 0.907 3.14. 8.933 (g/cm3) 3.15. [1100] 3.16. a  2 2 5.1. Liquid: 54.5% Solid: 45.5% 5.2. Peritectic at 799°C:  L
 Peritectic at 756°C:  L
 Peritectoid at 640°C:  
 Eutectic-type (not named) at 640°C: 
 L Peritectoid at 590°C:  
 Eutectoid at 586°C: 
  Eutectoid at 582°C: 
  Eutectoid at 520°C: 
  Peritectic at 415°C:  L
 Eutectoid at 350°C: 
  Eutectic at 227°C: L
 -Sn Peritectoid at 189°C:  
 Eutectoid at 186°C: 
 -Sn Nonstoichiometric phase  forms at 676°C Allotropic transformation from -Sn
-Sn at 13.2°C Note: Some transformations are hardly discernible in Fig￾ure 5.17. 5.3. (a) 8.8 mass % Cu in Ag at 780°C (b) 8.0 mass % Ag in Cu at 780°C 5.4. negligible 5.5.   C
1.5 mass % Cu C
52 mass % Cu 5.6. About 850°C 5.7. No 5.8. (a) 780°C (b) Ag–28.1 mass % Cu (c) About 830°C (d) About 6 mass % Cu Chapter 5 Appendix IV • Solutions to Selected Problems 423