Sublimation of Ammonium Salts: A Mechanism Revealed by a First-Principles Study of the NH4Cl System

The mechanism for the sublimation of ammonium salts in general is not well-elucidated; the relationship between sublimation energies and activation energies of sublimation has not been understood. We have studied the kinetics and mechanism for the sublimation of NH4Cl, a prototype ammonium salt, by first-principles calculations using generalized gradient approximation in the plane-wave density functional theory. Supercells containing 8 to 64 NH4Cl units were used, and the predicted sublimation energy, 41.0 kcal/mol for NH4Cl(c) → NH3(g) + HCl(g), is in excellent agreement with the experimental value, 42.2 kcal/mol. The result of statistical-theory calculations indicates that the desorption of the H3N···HCl molecular complex with a 15.5 ± 1.0 kcal/mol variational barrier, instead of the individual NH3 and HCl molecules, from the relaxed crystal surface is the rate-controlling step. The desorption rate is predicted to be 25.0 exp(−13.2 kcal/mol/RT) cm/s, which is in close agreement with the experimental dat...

[1]  E. Clementi,et al.  Revisiting the potential energy surface for [H3N ··· HCl]: An ab initio and density functional theory investigation , 1996 .

[2]  G. Kresse,et al.  Ab initio molecular dynamics for liquid metals. , 1993 .

[3]  A. Wheeler,et al.  RATE OF SUBLIMATION OF AMMONIUM HALIDES , 1962 .

[4]  R. Marcus,et al.  Unimolecular reaction rate theory for transition states of any looseness. 3. Application to methyl radical recombination , 1986 .

[5]  G. Kresse,et al.  Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set , 1996 .

[6]  M. Lin,et al.  Theoretical studies of nitroamino radical reactions: Rate constants for the unimolecular decomposition of HNNO2 and related bimolecular processes , 1998 .

[7]  A. Mebel,et al.  Abinitio molecular orbital study of the HCO+O2 reaction: Direct versus indirect abstraction channels , 1996 .

[8]  K. Hermansson,et al.  Atomic and electronic structure of unreduced and reduced CeO2 surfaces: a first-principles study. , 2004, The Journal of chemical physics.

[9]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[10]  D D Wagman,et al.  Circular of the Bureau of Standards no. 500:: selected values of chemical thermodynamic properties , 1952 .

[11]  H. Monkhorst,et al.  SPECIAL POINTS FOR BRILLOUIN-ZONE INTEGRATIONS , 1976 .

[12]  A. Legon,et al.  Nature, geometry, and binding strength of the ammonia–hydrogen chloride dimer determined from the rotational spectrum of ammonium chloride vapor , 1988 .

[13]  Hafner,et al.  Ab initio molecular-dynamics simulation of the liquid-metal-amorphous-semiconductor transition in germanium. , 1994, Physical review. B, Condensed matter.

[14]  D. Hornig,et al.  The Vibrational Spectra of Molecules and Complex Ions in Crystals III. Ammonium Chloride and Deutero‐Ammonium Chloride , 1950 .

[15]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

[16]  G. Verhaegen,et al.  Stability of the Gaseous Ammonium Chloride Molecule , 1969 .

[17]  Keith J. Laidler,et al.  Theories Of Chemical Reaction Rates , 1969 .

[18]  S. F. Boys,et al.  The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors , 1970 .

[19]  A. Dekker,et al.  The Effect of Physical Adsorption on the Absolute Decomposition Rates of Crystalline Ammonium Chloride and Cupric Sulfate Trihydrate , 1956 .

[20]  L. Andrews,et al.  Infrared spectra of alkali metal atom-ammonia complexes in solid argon , 1987 .

[21]  P. J. Robinson Unimolecular reactions , 1972 .

[22]  T. L. Hill Statistical Mechanics of Multimolecular Adsorption. IV. The Statistical Analog of the BET Constant a1b2/b1a2. Hindered Rotation of a Symmetrical Diatomic Molecule Near a Surface , 1948 .

[23]  Kresse,et al.  Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. , 1996, Physical review. B, Condensed matter.

[24]  Leo Radom,et al.  Harmonic Vibrational Frequencies: An Evaluation of Hartree−Fock, Møller−Plesset, Quadratic Configuration Interaction, Density Functional Theory, and Semiempirical Scale Factors , 1996 .

[25]  H. A. Levy,et al.  NEUTRON DIFFRACTION STUDY OF THE CRYSTAL STRUCTURE OF AMMONIUM CHLORIDE , 1952 .

[26]  S. Scheiner,et al.  Vibrational frequencies and intensities of H-bonded and Li-bonded complexes. H3N⋅⋅HCl and H3N⋅⋅LiCl , 1988 .

[27]  C. C. Stephenson The Dissociation of Ammonium Chloride , 1944 .

[28]  P. Schuster,et al.  Theoretical vibrational investigation of hydrogen-bonded complexes: application to hydrogen chloride...ammonia, hydrogen chloride...methylamine, and hydrogen bromide...ammonia , 1987 .

[29]  Miquel Duran,et al.  How does basis set superposition error change the potential surfaces for hydrogen-bonded dimers? , 1996 .

[30]  R. Marcus,et al.  RRKM reaction rate theory for transition states of any looseness , 1984 .