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Mizzi CA, Maiorov B. Enabling resonant ultrasound spectroscopy in high magnetic fields. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2024; 155:3505-3520. [PMID: 38804818 DOI: 10.1121/10.0026124] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/07/2024] [Accepted: 05/10/2024] [Indexed: 05/29/2024]
Abstract
Resonant ultrasound spectroscopy (RUS) is a powerful method to determine elastic constants with high accuracy and precision from a single measurement of the mechanical resonances of a sample. Conventionally, the quantitative extraction of elastic moduli with RUS assumes free boundary conditions which can often lead to the adoption of unstable sample positioning between ultrasonic transducers that is incompatible with extreme environments like high magnetic fields. We show that, under specific conditions, introducing a small amount of adhesive between a RUS sample and ultrasonic transducers introduces a perturbation to the free resonance condition which can be accounted for by a simple model. This means elastic constants can be determined to within the uncertainty of conventional RUS, but with significant improvements including sample stability and control of sample orientation. We demonstrate the efficacy of this approach with measurements on a range of materials including room temperature measurements on polycrystalline metals, temperature-dependent measurements of the structural phase transition in strontium titanate single crystals, and magnetic field-dependent measurements of magnetic phase transitions in gadolinium polycrystals up to 14 T.
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Affiliation(s)
| | - Boris Maiorov
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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Theuss F, Simarro GDLF, Shragai A, Grissonnanche G, Hayes IM, Saha S, Shishidou T, Chen T, Nakatsuji S, Ran S, Weinert M, Butch NP, Paglione J, Ramshaw BJ. Resonant Ultrasound Spectroscopy for Irregularly Shaped Samples and Its Application to Uranium Ditelluride. PHYSICAL REVIEW LETTERS 2024; 132:066003. [PMID: 38394590 DOI: 10.1103/physrevlett.132.066003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/16/2023] [Revised: 08/22/2023] [Accepted: 01/11/2024] [Indexed: 02/25/2024]
Abstract
Resonant ultrasound spectroscopy (RUS) is a powerful technique for measuring the full elastic tensor of a given material in a single experiment. Previously, this technique was practically limited to regularly shaped samples such as rectangular parallelepipeds, spheres, and cylinders [W. M. Visscher et al. J. Acoust. Soc. Am. 90, 2154 (1991)JASMAN0001-496610.1121/1.401643]. We demonstrate a new method for determining the elastic moduli of irregularly shaped samples, extending the applicability of RUS to a much larger set of materials. We apply this new approach to the recently discovered unconventional superconductor UTe_{2} and provide its elastic tensor at both 300 and 4 kelvin.
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Affiliation(s)
- Florian Theuss
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
| | | | - Avi Shragai
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
| | - Gael Grissonnanche
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
| | - Ian M Hayes
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Shanta Saha
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Tatsuya Shishidou
- Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA
| | - Taishi Chen
- The Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Satoru Nakatsuji
- The Institute for Solid State Physics, The University of Tokyo, Kashiwa, Chiba 277-8581, Japan
- Department of Physics, The University of Tokyo, Tokyo 113-0033, Japan
- Institute for Quantum Matter and Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA
- Trans-scale Quantum Science Institute, University of Tokyo, Tokyo 113-0033, Japan
| | - Sheng Ran
- Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - Michael Weinert
- Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA
| | - Nicholas P Butch
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- NIST Center for Neutron Research, National Institute of Standards and Technology, 100 Bureau Drive, Gaithersburg, Maryland 20899, USA
| | - Johnpierre Paglione
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada
| | - B J Ramshaw
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
- Canadian Institute for Advanced Research, Toronto, Ontario, Canada
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Adebisi RA, Lesthaeghe TJ, Cherry MR, Sathish S. Resonant ultrasound spectroscopy applications: Elastic moduli computation with x-ray computed tomography input for irregularly shaped objects. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2024; 155:241-251. [PMID: 38197723 DOI: 10.1121/10.0024214] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/01/2023] [Accepted: 12/12/2023] [Indexed: 01/11/2024]
Abstract
Resonant ultrasound spectroscopy is a technique that uses a combination of experimentally measured resonant frequencies and physics-based computation of these frequencies to determine the entire set of single crystal elastic moduli of the material. Computation of the resonances is most often accomplished using the Rayleigh-Ritz energy minimization technique, and a basis function that requires sample with canonical geometry, such as a cylinder or a rectangular parallelepiped. Any deviation from canonical geometry can have a significant impact on the calculated resonance frequencies and the inverted elastic moduli. To overcome this limitation, this paper describes an approach that uses x-ray computed tomography data to generate accurate solid part model of components with complex geometry. The part model is then imported into an off-the-shelf finite element method (FEM) software to perform the forward problem. The FEM was combined with surrogate modeling for computation of resonance frequencies of both canonical and non-canonical samples, and ultimately, the inversion of elastic moduli.
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Affiliation(s)
- R A Adebisi
- University of Dayton Research Institute, Dayton, Ohio 45469, USA
| | - T J Lesthaeghe
- University of Dayton Research Institute, Dayton, Ohio 45469, USA
| | - M R Cherry
- Air Force Research Laboratory, Wright Patterson AFB, Ohio 45433, USA
| | - S Sathish
- University of Dayton Research Institute, Dayton, Ohio 45469, USA
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