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We present an approach for the efficient calculation of vibrational Raman intensities in periodic systems within density functional theory. The Raman intensities are computed from the second order derivative of the electronic density matrix…

Materials Science · Physics 2009-11-07 Michele Lazzeri , Francesco Mauri

High-accuracy numerical simulations of merging neutron stars play an important role in testing and calibrating the waveform models used by gravitational wave observatories. Obtaining high-accuracy waveforms at a reasonable computational…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Francois Foucart , Matthew D. Duez , Alana Gudinas , Francois Hebert , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

Vibrational properties of molecules are of widespread interest and importance in chemistry and biochemistry. The reliability of widely employed approximate computational methods is questioned here against the complex experimental spectrum…

Chemical Physics · Physics 2025-09-24 Apurba Nandi , Riccardo Conte , Priyanka Pandey , Paul L. Houston , Chen Qu , Qi Yu , Joel M. Bowman

Nuclear Magnetic Resonance (NMR) spectroscopy is the cornerstone of small-molecule structure elucidation. While deep learning has demonstrated significant potential in automating structure elucidation and spectral simulation, current…

Computational Engineering, Finance, and Science · Computer Science 2026-01-23 Zheng Fang , Chen Yang , Hai-tao Yu , Haoming Luo , Haitao He , Jiaqing Xie , Zhuo Yang , Jun Xia

This review elaborates on the foundation, the advantages, and the prospects of tensor network representations for quantum states in vibrational spectroscopy. The focus is on the recently introduced matrix product state decomposition of…

Chemical Physics · Physics 2022-08-03 Nina Glaser , Alberto Baiardi , Markus Reiher

Vibrational spectra can be computed without storing full-dimensional vectors by using low-rank sum-of-products (SOP) basis functions. We introduce symmetry constraints in the SOP basis functions to make it possible to separately calculate…

Chemical Physics · Physics 2016-01-05 Arnaud Leclerc , Tucker Carrington

Extending corresponding results for matrix product states [Verstraete and Cirac, PRB 73, 094423 (2006); Schuch et al. PRL 100, 030504 (2008)], it is shown how the approximation error of tree tensor network states (TTNS) can be bounded using…

Quantum Physics · Physics 2026-01-30 Thomas Barthel

Octupole vibrational states were studied in the nucleus $^{150}\mathrm{Nd}$ via inelastic proton scattering with $\unit[10.9]{MeV}$ protons which are an excellent probe to excite natural parity states. For the first time in…

The early detection of cancer is a challenging problem in medicine. The blood sera of cancer patients are enriched with heterogeneous secretory lipid bound extracellular vesicles (EVs), which present a complex repertoire of information and…

Other Quantitative Biology · Quantitative Biology 2022-02-15 Abicumaran Uthamacumaran , Samir Elouatik , Mohamed Abdouh , Michael Berteau-Rainville , Zu-hua Gao , Goffredo Arena

Accurate experimental values for the vibrational ground tone or fundamental vibrational energy splitting of H$_2$, HD, and D$_2$ are presented. Absolute accuracies of $2\times10^{-4}$ cm$^{-1}$ are obtained from Doppler-free laser…

Full-dimensional (12D) vibrational states of the methanol molecule (CH$_3$OH) have been computed using the GENIUSH-Smolyak approach and the potential energy surface from Qu and Bowman (2013). All vibrational energies are converged better…

Chemical Physics · Physics 2024-09-05 Ayaki Sunaga , Gustavo Avila , Edit Matyus

Accurate prediction of molecular vibrational frequencies is important to identify spectroscopic signatures and reaction thermodynamics. In this work, we develop a method to quantify uncertainty associated with density functional theory…

Chemical Physics · Physics 2019-03-13 Holden L. Parks , Alan. J. H. McGaughey , Venkatasubramanian Viswanathan

Vibrational spectroscopy is an indispensable analytical tool that provides structural fingerprints for molecules, solids, and interfaces thereof. This study introduces THeSeuSS (THz Spectra Simulations Software) - an automated computational…

Materials Science · Physics 2024-09-11 Ariadni Boziki , Frédéric Ngono Mebenga , Philippe Fernandes , Alexandre Tkatchenko

While quantum computing algorithms have been widely applied for electronic structure calculations, applications to molecular dynamics remain scarce. Complex and varied landscapes of molecular potential energy surfaces give rise to…

Quantum Physics · Physics 2026-04-02 K. Asnaashari , D. Bondarenko , R. V. Krems

We investigate the application of the density-matrix renormalization group (DMRG) algorithm to a one-dimensional harmonic oscillator chain and compare the results with exact solutions, aiming to improve the algorithm efficiency. It has been…

Quantum Physics · Physics 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

Transmission electron microscopy and spectroscopy currently enable the acquisition of spatially resolved spectral information from a specimen by focusing electron beams down to a sub-Angstrom spot and then analyzing the energy of the…

Materials Science · Physics 2022-09-12 Andrea Konečná , Fadil Iyikanat , F. Javier García de Abajo

Compositional disorder is common in crystal compounds. In these compounds, some atoms are randomly distributed at some crystallographic sites. For such compounds, randomness forms many non-identical independent structures. Thus, calculating…

Materials Science · Physics 2022-12-23 Mostafa Yaghoobi , Mojtaba Alaei

Ferromagnetic resonance (FMR) spectroscopy is a powerful method for quantifying internal magnetic anisotropy fields in nanoparticles, which is important in a wide range of biomedical and storage applications. The interpretation of FMR…

Materials Science · Physics 2022-06-02 David Slay , Michalis Charilaou

Electric dipole and polarizability surfaces are developed for the methanol (CH$_3$OH) molecule using ab initio electronic structure data, computed at the CCSD/aug-cc-pVTZ level of theory, and equivariant neural networks. These property…

Chemical Physics · Physics 2026-05-01 Ayaki Sunaga , Albert P. Bartók , Edit Mátyus

Tree tensor network states (TTNS) decompose the system wavefunction to the product of low-rank tensors based on the tree topology, serving as the foundation of the multi-layer multi-configuration time-dependent Hartree (ML-MCTDH) method. In…

Quantum Physics · Physics 2024-08-29 Weitang Li , Jiajun Ren , Hengrui Yang , Haobin Wang , Zhigang Shuai