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L. L. Boyer, E. Kaxiras, J. L. Feldman, J. Q. Broughton, and M. J. Mehl, "New low-energy crystal structure for silicon," Phys. Rev. Lett. 67, 715-718 (1991).
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15
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2642634073
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private communication
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A. Migliori, private communication. See also, A. Migliori and J. L. Sarrao, Resonant Ultrasound Spectroscopy (Wiley, New York, 1997).
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Migliori, A.1
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17
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2642654561
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note
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4 to vary with frequency. Such refinements, however, are not warranted in view of the approximate nature of our theoretical model and the experimental uncertainties in the measurement.
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18
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0004098086
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Wiley, New York, 3rd ed.
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L. E. Kinsler, A. R. Frey, A. B. Coppens, and J. V. Sanders, Fundamentals of Acoustics (Wiley, New York, 1994), 3rd ed., p. 65.
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Kinsler, L.E.1
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19
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0004098086
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Wiley, New York, 2nd ed.
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L. E. Kinsler and A. R. Frey, Fundamentals of Acoustics (Wiley, New York, 1962), 2nd ed., pp. 177-179.
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Kinsler, L.E.1
Frey, A.R.2
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20
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2142641991
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A means of calculating the Kirchoff surface integral for a disk radiator as a single integral with fixed limits
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J. A. Archer-Hall, A. I. Bashter, and A. J. Hazelwood, "A means of calculating the Kirchoff surface integral for a disk radiator as a single integral with fixed limits," J. Acoust. Soc. Am. 65, 1568-1570 (1979).
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0020273760
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Swenson, G.W.1
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23
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0015312503
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24
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2642697142
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2642661789
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Gomperts, M.C.1
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27
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2642621906
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note
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The trigonometric function forms are used for the piston displacements in order to clearly demonstrate the consequences of the symmetries involved. These trigonometric functions are the leading terms of a series expansion of the exact solutions of the motion of the individual surfaces. However, it is felt that in view of the nature of the approximations used, the summation of the entire series is not warranted since the corrections produced by the absence of the summation would be comparable to those incurred by assuming a baffled solution.
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28
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2642601416
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note
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In an accurate calculation of Q, one would use the actual displacement field at each point within the sample to compute the total energy stored. Our more approximate approach avoids the necessity of dealing with the precise details of the displacement field inside the sample.
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