《材料物理导论》习题解答第二章材料的热学92319SP,T1042.1)15.2731038.1106.148.0exp(Nn,NnNn)KTEexp(nNn0nnNlnKTE0)nF(n]nlnn)nNln()nN(NlnN[KTEF,NNlnN!NlnNStirling]!nln)!nNln(!N[lnKTESTEF]!n)!nN(!Nln[KWlnKS.1则不大时,当引起的自由焓的变化小值,由于热缺陷平衡时,自由能具有最将上式整理得很大时,公式:当根据:解%67.00067.010693.610693.610738.61e11e1e11e1fe1eAfBoltzman.2333kT/)EE(kT/)EE(kT/)EE(kT/)EE(kT/)EE(kT/EFFFFF因而相对误差为狄拉克统计分布函数为同时费米分布有解:根据定律所得的计算值。趋近按,可见,随着温度的升高)的摩尔热容为:定律,莫来石(根据时,时,。可解得对于莫来石有解:根据经验公式PetitDulongCkmol/J74.52394.2421SiO2OAl3PetitDulongkmol/J6.445CK1273Tkmol/J6.384CK298T1068.26c,1096.14b,55.87aT'CbTaC.3m,P232m,Pm,P532m,P《材料物理导论》习题解答112233hV113233hV3D4hVKmolJ1055.1108.3310230K5CNaClKmolJ1043.2108.352K2CKCl)T(Nk512C0T.4)(有,对于)(有,对于)时有(容量理论,当温度很低解:根据德拜模型的热。,也不影响,所以气孔不影响数由于空气组分的质量分解:对于复合材料有lViiiiiiiiV0W/WK/WK.5得证。则有,有由于对于由)(解:LamkLamkLammmkLammLammmkLammmmmkLammmkLammmmkxxyyxyxyxyLammmmkmmLammkmmmmLammmmmmkmmLammmmkeeeeeeeeeeesin2sin2)cos21(2cos4)cos1(2cos1[(2)sin1(2)]sin21(11[211)1(')1()1(21',]sin4111[]sin4)1(1[1/]sin4)1()1[(]sin4)11()11[(1.622121224212221222121222122212222/12/12122221222212212221221221222121《材料物理导论》习题解答ksmJVCkNNmolKJTNkCmndmnmddVOAlsshvhtADhvs../1023.81009.55007.93131)5(/7.9)(5121009.521/1036.21021040001002.61033.41024.4)2(341024.41002.6104000/102.781134112328323102932923332个分子数密度假设分子为球形,则分子的体积为一个解:静止。时,光学支中:静止;时声学支中:又根据时,当:12122122e21e222ee22ee211e22e2mm2121e221222121em,0A1mm0)BA(a2Lm,0B1mm0)AB(,a2Lk2mk2m)BA(0A)Lacosk2(B)k2m(0B)Lacosk2(A)k2m(mk2mk2]m1m1)m1m1[(ka2L]mmLasin4)m1m1()m1m1[(k)2.(622,有光学支。光学支振动频率不为,无光学支;光学支振动频率为时当若:0,00,01Lacos,aL)]Lacos1(mk2[]mLasin4m4m2[k,mm)3.(62/11e212211e21《材料物理导论》习题解答644ettethtet1114128et1030.21035.73201035.7kkkkkKsmJ1035.7300)10(1045.2TLk.8电子热导率解:1111tft21067f1smJ9.509R1.2RkE)1(kR)K(8.242107.4106.4)25.01(107E)1(R.9解:KTKERMPaGPaEKNSiRRhrEkTfftmft6.4913.248)1(.25.0;345;379;/1027598.1500212.031.04.1831.01)1(.10max164311max有关参数为:解: