By E. S. R. Gopal (auth.)

This paintings was once all started really it slow in the past on the college of Oxford through the tenure of an in another country Scholarship of the Royal fee for the Exhibition of 1851 and was once accomplished at Banga­ lore whilst the writer used to be being supported by means of a upkeep allowance from the CSIR Pool for unemployed scientists. it truly is was hoping that major advancements occurring as past due because the starting of 1965 were integrated. The preliminary impetus and idea for the paintings got here from Dr. okay. Mendelssohn. To him and to Drs. R. W. Hill and N. E. Phillips, who went during the entire of the textual content, the writer is obliged in additional methods than one. For permission to take advantage of figures and different fabrics, thankful thank you are tendered to the involved staff and associations. the writer isn't so sanguine as to visualize that each one technical and literary flaws were weeded out. If others come upon them, they're charitably dropped at the author's become aware of as evidence that physics has develop into too enormous to be comprehended by means of a unmarried onlooker. E. S. RAJA GoPAL division of Physics Indian Institute of technology Bangalore 12, India November 1965 v Contents advent ................................................................. .

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Extra resources for Specific Heats at Low Temperatures

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Experimentally, Nernst and Lindemann pointed out that the observations could be fitted better if two frequencies VE and tVE were used instead of VE alone. , at low temperatures. These ideas culminated in the calculations (1912) of Debye and Born and Von Karman, who used a better description of lattice vibrational frequencies. Debye's model is the simpler and will be taken up in the following section. Despite the cursory dismissal usually accorded to Einstein's oversimplified model, the calculation was a fundamental step in enlarging the field of application of quantum ideas.

Rev. 130, 1318 (1963). 13. E. Schrodinger, Handbuch der Physik, X, 275 (1926). 14. D. Bijl, Progr. Low Temp. Phys. 2, 395 (\957). 15. 1. D. Filby and D. L. Martin, Proc. Roy. Soc. (London), Ser. A 276, 187 (1963). 16. W. T.

G. Ziegler, Tables of Einstein Functions, Nat. Bur. Std. Monograph No. 49 (1962). 54 Chapter 2 6. 1. de Launay, Solid State Phys. 2,219 (1956). 7. R. F. S. Hearmon, Introduction to Applied Anisotropic Elasticity, Oxford University Press, Oxford, 1961. 8. l. P. Musgrave, Rept. Progr. Phys. 22, 74 (1959); Progr. Solid Mech. 2, 63 (1961). 9. H. Weyl, Math. Ann. 71, 441 (191\). R. D. Courant, Math. Ztschr. 7, 14 (1920). W. Ledermann, Proc. Roy. Soc. (London), Ser. A. 182, 362 (1944). R. E. Peierls, Proc.

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