Heat capacity of N<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">H</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math></span>Cl and N<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">D</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math></span>Cl single crystals at high pressure

C. W. Garland; J. D. Baloga

doi:10.1103/PhysRevB.16.331

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Heat capacity of N $H_{4}$ Cl and N $D_{4}$ Cl single crystals at high pressure

C. W. Garland and J. D. Baloga

Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Phys. Rev. B 16, 331 – Published 1 July, 1977

DOI: https://doi.org/10.1103/PhysRevB.16.331

Abstract

The constant-pressure heat capacity of N $H_{4}$ Cl and N $D_{4}$ Cl has been investigated in the vicinity of the order-disorder transition at 1 atm and at high pressures. The ac calorimetry technique has been used and has been shown to work well for investigating solid samples under hydrostatic gas pressures up to ∼3 kbar. The "multicritical" pressure (above which the transition is continuous and below which a small first-order instability occurs) is 1500 bar for N $H_{4}$ Cl and is very close to 1 atm for N $D_{4}$ Cl. A correspondence was found between the $C_{p}$ variation for N $D_{4}$ Cl at 1 atm and N $H_{4}$ Cl at 1500 bar and also between that for N $D_{4}$ Cl at 1500 bar and N $H_{4}$ Cl at 3134 bar. At the multicritical pressure, the behavior of the heat capacity in the ordered phase can be well represented by a power law, and the critical exponent $α^{'} = 0.50 \pm 0.07$ for N $D_{4}$ Cl and 0.57±0.07 for N $H_{4}$ Cl. At higher pressures, the peak $C_{p}$ values are significantly but reversibly decreased and the data show systematic deviations from a single power-law fit.

References (23)

B. B. Weiner and C. W. Garland, J. Chem. Phys. 56, 155 (1972) C. W. Garland and B. B. Weiner, Phys. Rev. B 3, 1634 (1971)
(a) C. W. Garland, D. E. Bruins, and T. J. Greytak, Phys. Rev. B 12, 2759 (1975) (b) D. E. Bruins and C. W. Garland, J. Chem. Phys. 63, 4139 (1975)
C. C. Stephenson (private communication of unpublished data)
H. Chihara and M. Nakamura, Bull. Chem. Soc. Jpn. 45, 133 (1972)
E. B. Amitin, Yu. A. Kovalevskaya, E. G. Lebedeva, and I. E. Paukov, Fiz. Tverd. Tela 17, 2549 (1975) [Sov. Phys.-Solid State 17, 1699 (1976)]
A. V. Voronel and S. R. Garber, Zh. Eksp. Teor. Phys. 52, 1464 (1967) [Sov. Phys.-JETP 25, 970 (1967)]
P. Schwartz, Phys. Rev. B 4, 920 (1971) Ph.D. thesis (Univ. of Illinois, 1969) (unpublished)
S. A. Zlunitsyn, Zh. Eksp. Teor. Fiz. 8, 724 (1938)
E. B. Amitin, Yu. A. Kovalevskaya, and I. E. Paukov, Fiz. Tverd. Tela 14, 3483 (1972) [Sov. Phys.-Solid State 14, 2902 (1973)]
N. J. Trappeniers and Th. J. van der Molen, Physica 32, 1161 (1966) Th. J. van der Molen, Ph.D. thesis (Univ. of Amsterdam, 1966) (unpublished)
J. D. Baloga and C. W. Garland, Rev. Sci. Instrum. (to be published)
R. Renard and C. W. Garland, J. Chem. Phys. 45, 763 (1966)
C. W. F. T. Pistorius, J. Chem. Phys. 50, 1436 (1969)
W. Mandema and N. J. Trappeniers, Physica 76, 123 (1974)
W. Bausch and W. Waidelich, Phys. Lett. A 30, 190 (1969)
S. S. Sharma, Proc. Indian Acad. Sci. A 31, 339 (1950)
Omitted endnote
Omitted endnote
D. G. Thomas and L. A. K. Staveley, J. Chem. Soc. Lond. A 1951, 1420 (1951)
G. E. Fredericks, Phys. Rev. B 4, 911 (1971)
T. S. Chang, G. F. Tuthill, and H. E. Stanley, Phys. Rev. B 9, 4882 (1974)
W. B. Yelon and D. E. Cox, Solid State Commun. 11, 1011 (1972) W. B. Yelon, D. E. Cox, P. J. Kortman, and W. B. Daniels, Phys. Rev. B 9, 4843 (1974)
D. R. McKenzie and R. S. Seymour, J. Phys. C 8, 1071 (1975)

[c1] B. B. Weiner and C. W. Garland, J. Chem. Phys. 56, 155 (1972) C. W. Garland and B. B. Weiner, Phys. Rev. B 3, 1634 (1971)

[c2] (a) C. W. Garland, D. E. Bruins, and T. J. Greytak, Phys. Rev. B 12, 2759 (1975) (b) D. E. Bruins and C. W. Garland, J. Chem. Phys. 63, 4139 (1975)

[c3] C. C. Stephenson (private communication of unpublished data)

[c4] H. Chihara and M. Nakamura, Bull. Chem. Soc. Jpn. 45, 133 (1972)

[c5] E. B. Amitin, Yu. A. Kovalevskaya, E. G. Lebedeva, and I. E. Paukov, Fiz. Tverd. Tela 17, 2549 (1975) [Sov. Phys.-Solid State 17, 1699 (1976)]

[c6] A. V. Voronel and S. R. Garber, Zh. Eksp. Teor. Phys. 52, 1464 (1967) [Sov. Phys.-JETP 25, 970 (1967)]

[c7] P. Schwartz, Phys. Rev. B 4, 920 (1971) Ph.D. thesis (Univ. of Illinois, 1969) (unpublished)

[c8] S. A. Zlunitsyn, Zh. Eksp. Teor. Fiz. 8, 724 (1938)

[c9] E. B. Amitin, Yu. A. Kovalevskaya, and I. E. Paukov, Fiz. Tverd. Tela 14, 3483 (1972) [Sov. Phys.-Solid State 14, 2902 (1973)]

[c10] N. J. Trappeniers and Th. J. van der Molen, Physica 32, 1161 (1966) Th. J. van der Molen, Ph.D. thesis (Univ. of Amsterdam, 1966) (unpublished)

[c11] J. D. Baloga and C. W. Garland, Rev. Sci. Instrum. (to be published)

[c12] R. Renard and C. W. Garland, J. Chem. Phys. 45, 763 (1966)

[c13] C. W. F. T. Pistorius, J. Chem. Phys. 50, 1436 (1969)

[c14] W. Mandema and N. J. Trappeniers, Physica 76, 123 (1974)

[c15] W. Bausch and W. Waidelich, Phys. Lett. A 30, 190 (1969)

[c16] S. S. Sharma, Proc. Indian Acad. Sci. A 31, 339 (1950)

[c17] Omitted endnote

[c18] Omitted endnote

[c19] D. G. Thomas and L. A. K. Staveley, J. Chem. Soc. Lond. A 1951, 1420 (1951)

[c20] G. E. Fredericks, Phys. Rev. B 4, 911 (1971)

[c21] T. S. Chang, G. F. Tuthill, and H. E. Stanley, Phys. Rev. B 9, 4882 (1974)

[c22] W. B. Yelon and D. E. Cox, Solid State Commun. 11, 1011 (1972) W. B. Yelon, D. E. Cox, P. J. Kortman, and W. B. Daniels, Phys. Rev. B 9, 4843 (1974)

[c23] D. R. McKenzie and R. S. Seymour, J. Phys. C 8, 1071 (1975)

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Heat capacity of N $H_{4}$ Cl and N $D_{4}$ Cl single crystals at high pressure

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Heat capacity of NH4Cl and ND4Cl single crystals at high pressure

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Heat capacity of N $H_{4}$ Cl and N $D_{4}$ Cl single crystals at high pressure