Sound Velocity and Elasticity of Tetragonal Lysozyme Crystals by Brillouin Spectroscopy

S. Speziale; F. Jiang; C. L. Caylor; S. Kriminski; C. S. Zha; R. E. Thorne; T. S. Duffy

doi:10.1016/S0006-3495(03)74738-9

Sound Velocity and Elasticity of Tetragonal Lysozyme Crystals by Brillouin Spectroscopy

S. Speziale, F. Jiang, C. L. Caylor, S. Kriminski, C. S. Zha, R. E. Thorne, T. S. Duffy

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Abstract

Quasilongitudinal sound velocities and the second-order elastic moduli of tetragonal hen egg-white lysozyme crystals were determined as a function of relative humidity (RH) by Brillouin scattering. In hydrated crystals the measured sound velocities in the [110] plane vary between 2.12 ± 0.03 km/s along the [001] direction and 2.31 ± 0.08 km/s along the [110] direction. Dehydration from 98% to 67% RH increases the sound velocities and decreases the velocity anisotropy in (110) from 8.2% to 2.0%. A discontinuity in velocity and an inversion of the anisotropy is observed with increasing dehydration providing support for the existence of a structural transition below 88% RH. Brillouin linewidths can be described by a mechanical model in which the phonon is coupled to a relaxation mode of hydration water with a single relaxation time of 55 ± 5 ps. At equilibrium hydration (98% RH) the longitudinal moduli C₁₁ + C₁₂ + 2C₆₆ = 12.81 ± 0.08 GPa, C₁₁ = 5.49 ± 0.03 GPa, and C ₃₃ = 5.48 ± 0.05 GPa were directly determined. Inversion of the measured sound velocities in the [110] plane constrains the combination C₄₄ + 1/2C₁₃ to 2.99 ± 0.05 GPa. Further constraints on the elastic tensor are obtained by combining the Brillouin quasilongitudinal results with axial compressibilities determined from high-pressure x-ray diffraction. We constrain the adiabatic bulk modulus to the range 2.7-5.3 GPa.

Original language	English (US)
Pages (from-to)	3202-3213
Number of pages	12
Journal	Biophysical Journal
Volume	85
Issue number	5
DOIs	https://doi.org/10.1016/S0006-3495(03)74738-9
State	Published - Nov 2003

All Science Journal Classification (ASJC) codes

Biophysics

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10.1016/S0006-3495(03)74738-9

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@article{a28a82da39254a9dba3b1077d6297898,

title = "Sound Velocity and Elasticity of Tetragonal Lysozyme Crystals by Brillouin Spectroscopy",

abstract = "Quasilongitudinal sound velocities and the second-order elastic moduli of tetragonal hen egg-white lysozyme crystals were determined as a function of relative humidity (RH) by Brillouin scattering. In hydrated crystals the measured sound velocities in the [110] plane vary between 2.12 ± 0.03 km/s along the [001] direction and 2.31 ± 0.08 km/s along the [110] direction. Dehydration from 98% to 67% RH increases the sound velocities and decreases the velocity anisotropy in (110) from 8.2% to 2.0%. A discontinuity in velocity and an inversion of the anisotropy is observed with increasing dehydration providing support for the existence of a structural transition below 88% RH. Brillouin linewidths can be described by a mechanical model in which the phonon is coupled to a relaxation mode of hydration water with a single relaxation time of 55 ± 5 ps. At equilibrium hydration (98% RH) the longitudinal moduli C11 + C12 + 2C66 = 12.81 ± 0.08 GPa, C11 = 5.49 ± 0.03 GPa, and C 33 = 5.48 ± 0.05 GPa were directly determined. Inversion of the measured sound velocities in the [110] plane constrains the combination C44 + 1/2C13 to 2.99 ± 0.05 GPa. Further constraints on the elastic tensor are obtained by combining the Brillouin quasilongitudinal results with axial compressibilities determined from high-pressure x-ray diffraction. We constrain the adiabatic bulk modulus to the range 2.7-5.3 GPa.",

author = "S. Speziale and F. Jiang and Caylor, {C. L.} and S. Kriminski and Zha, {C. S.} and Thorne, {R. E.} and Duffy, {T. S.}",

note = "Funding Information: This work was supported by the National Aeronautics and Space Administration (NAG8-1357 and NAG8-1831); the National Science Foundation (EAR-9725395); and the David and Lucille Packard Foundation (to T.S.D.). The Cornell High-Energy Synchrotron Source is supported by the National Science Foundation (DMR 9713424).",

year = "2003",

month = nov,

doi = "10.1016/S0006-3495(03)74738-9",

language = "English (US)",

volume = "85",

pages = "3202--3213",

journal = "Biophysical Journal",

issn = "0006-3495",

publisher = "Elsevier B.V.",

number = "5",

}

TY - JOUR

T1 - Sound Velocity and Elasticity of Tetragonal Lysozyme Crystals by Brillouin Spectroscopy

AU - Speziale, S.

AU - Jiang, F.

AU - Caylor, C. L.

AU - Kriminski, S.

AU - Zha, C. S.

AU - Thorne, R. E.

AU - Duffy, T. S.

N1 - Funding Information: This work was supported by the National Aeronautics and Space Administration (NAG8-1357 and NAG8-1831); the National Science Foundation (EAR-9725395); and the David and Lucille Packard Foundation (to T.S.D.). The Cornell High-Energy Synchrotron Source is supported by the National Science Foundation (DMR 9713424).

PY - 2003/11

Y1 - 2003/11

N2 - Quasilongitudinal sound velocities and the second-order elastic moduli of tetragonal hen egg-white lysozyme crystals were determined as a function of relative humidity (RH) by Brillouin scattering. In hydrated crystals the measured sound velocities in the [110] plane vary between 2.12 ± 0.03 km/s along the [001] direction and 2.31 ± 0.08 km/s along the [110] direction. Dehydration from 98% to 67% RH increases the sound velocities and decreases the velocity anisotropy in (110) from 8.2% to 2.0%. A discontinuity in velocity and an inversion of the anisotropy is observed with increasing dehydration providing support for the existence of a structural transition below 88% RH. Brillouin linewidths can be described by a mechanical model in which the phonon is coupled to a relaxation mode of hydration water with a single relaxation time of 55 ± 5 ps. At equilibrium hydration (98% RH) the longitudinal moduli C11 + C12 + 2C66 = 12.81 ± 0.08 GPa, C11 = 5.49 ± 0.03 GPa, and C 33 = 5.48 ± 0.05 GPa were directly determined. Inversion of the measured sound velocities in the [110] plane constrains the combination C44 + 1/2C13 to 2.99 ± 0.05 GPa. Further constraints on the elastic tensor are obtained by combining the Brillouin quasilongitudinal results with axial compressibilities determined from high-pressure x-ray diffraction. We constrain the adiabatic bulk modulus to the range 2.7-5.3 GPa.

AB - Quasilongitudinal sound velocities and the second-order elastic moduli of tetragonal hen egg-white lysozyme crystals were determined as a function of relative humidity (RH) by Brillouin scattering. In hydrated crystals the measured sound velocities in the [110] plane vary between 2.12 ± 0.03 km/s along the [001] direction and 2.31 ± 0.08 km/s along the [110] direction. Dehydration from 98% to 67% RH increases the sound velocities and decreases the velocity anisotropy in (110) from 8.2% to 2.0%. A discontinuity in velocity and an inversion of the anisotropy is observed with increasing dehydration providing support for the existence of a structural transition below 88% RH. Brillouin linewidths can be described by a mechanical model in which the phonon is coupled to a relaxation mode of hydration water with a single relaxation time of 55 ± 5 ps. At equilibrium hydration (98% RH) the longitudinal moduli C11 + C12 + 2C66 = 12.81 ± 0.08 GPa, C11 = 5.49 ± 0.03 GPa, and C 33 = 5.48 ± 0.05 GPa were directly determined. Inversion of the measured sound velocities in the [110] plane constrains the combination C44 + 1/2C13 to 2.99 ± 0.05 GPa. Further constraints on the elastic tensor are obtained by combining the Brillouin quasilongitudinal results with axial compressibilities determined from high-pressure x-ray diffraction. We constrain the adiabatic bulk modulus to the range 2.7-5.3 GPa.

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U2 - 10.1016/S0006-3495(03)74738-9

DO - 10.1016/S0006-3495(03)74738-9

M3 - Article

C2 - 14581220

AN - SCOPUS:0242353816

SN - 0006-3495

VL - 85

SP - 3202

EP - 3213

JO - Biophysical Journal

JF - Biophysical Journal

IS - 5

ER -

Sound Velocity and Elasticity of Tetragonal Lysozyme Crystals by Brillouin Spectroscopy

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