Symmetry, Group Theory, and the Physical Properties of Crystals

Powell, Richard C.

doi:10.1007/978-1-4419-7598-0

Cited by 78 publications

(63 citation statements)

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“…A material's refractive index can be described using the index ellipsoid, see equation (2) with x, y and z the optical axis of the material and n i the respective refractive index [17]. Normally, BSO is an isotropic crystal with refractive index n o = 2.54, but anisotropy can be induced externally via electric field or stress.…”

Section: Externally Induced Birefringencementioning

confidence: 99%

Electric field and temperature in a target induced by a plasma jet imaged using Mueller polarimetry

Slikboer

Sobota

Guaitella

et al. 2017

J. Phys. D: Appl. Phys.

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Mueller polarimetry is used to investigate the behavior of an electro optic target (BSO crystal) under exposure of guided ionization waves produced by an atmospheric pressure plasma jet. For the first time, this optical technique is time resolved to obtain the complete Mueller matrix of the sample right before and after the impact of the discharges. By analyzing the induced birefringence, the spatial profiles and local values are obtained of both the electric field and temperature in the sample. Electric fields are generated due to deposited surface charges and a temperature profile is present, due to the heat transferred by the plasma jet. The study of electric field dynamics and local temperature increase at the target, due to the plasma jet is important for biomedical applications, as well as surface functionalization. This work shows how Mueller polarimetry can be used as a novel diagnostic to simultaneously acquire the spatial distribution and local values of both the electric field and temperature, by coupling the external source of anisotropy to the measured induced birefringence via the symmetry point group of the examined material.

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Section: Externally Induced Birefringencementioning

confidence: 99%

Electric field and temperature in a target induced by a plasma jet imaged using Mueller polarimetry

Slikboer

Sobota

Guaitella

et al. 2017

J. Phys. D: Appl. Phys.

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“…Breaking of continuous translational symmetry is particularly striking. Its reduction to discrete translations gives a multitude of crystals 5 and ultimately quasicrystals where translational symmetry is absent. 6,7 Crystal analogues in the time dimension 8,9 have been recently observed.…”

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confidence: 99%

Phase crystals

Holmvall

Fogelström

Löfwander

et al. 2020

Phys. Rev. Research

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Superconducting order owes its properties to broken symmetry of the U (1) phase. In the presence of competing orders, or in pairbreaking environments, usual superconductivity may give way to modified condensates. Here we describe one such alternative, where the low-temperature ground state is more ordered due to formation of a periodic modulation of the phase. This state is manifested by spatially-periodic superflow patterns and circulating currents which break time-reversal symmetry. We demonstrate using microscopic theory how it can be realized near edges of superconductors that host flat bands of zero-energy Andreev bound states. More generally, we trace the origin of phase crystallization to non-local properties of the gradient energy, which implies existence of similar pattern-forming instabilities in many other systems. arXiv:1906.04793v1 [cond-mat.supr-con]

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“…For the point group m , the SHG tensor has ten nonzero coefficients. Considering the Kleinman symmetry condition, there are six independent coefficients, namely d 11 , d 12 = d 26 , d 13 = d 35 , d 31 = d 15 , d 22 , and d 24 = d 32 , contributing towards the SHG intensity of this compound …”

Section: Resultsmentioning

confidence: 99%

“…Considering the Kleinman symmetry condition, there are six independent coefficients, namely d 11 , d 12 =d 26 , d 13 =d 35 , d 31 = d 15 , d 22 , and d 24 =d 32 , contributing towards the SHG intensity of this compound. [42] Vibrational Spectroscopy Figure 5 shows the single-crystal FT-IR spectrum of Mn 5 (BO 3 ) 3 OH in the range from 600 to 4000 cm -1 . The assignment of the modes is based on previous works, investigating borates containing trigonal planar BO 3 groups.…”

Section: Second Harmonic Generation Measurementsmentioning

confidence: 99%

Structure and Properties of the Non‐Centrosymmetric Manganese(II) Borate Mn₅(BO₃)₃OH

et al. 2019

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The rose‐colored compound Mn5(BO3)3OH was synthesized under high‐pressure/high‐temperature conditions of 2.5 GPa and 973 K in a Walker‐type multianvil press. Single‐crystal X‐ray structure determination yielded the non‐centrosymmetric monoclinic space group Pm (no. 6) with the lattice parameters a = 329.71(1), b = 1384.92(5), c = 902.37(3) pm, and β = 107.92(1)°. The presence of the hydroxide group is ascertained by vibrational spectroscopy. Magnetization experiments in the range from 300 to 14 K revealed paramagnetic behavior with antiferromagnetic ordering below 14 K and an effective magnetic moment of 12.2 µB per formula unit. The acentric nature of the material was verified by second harmonic generation measurements, yielding a considerably strong intensity (Isample/Iquartz = 11.14). Additionally, thermal investigations showed a several‐step transformation to Mn2OBO3 upon heating under air.

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Symmetry, Group Theory, and the Physical Properties of Crystals

Cited by 78 publications

References 0 publications

Electric field and temperature in a target induced by a plasma jet imaged using Mueller polarimetry

Electric field and temperature in a target induced by a plasma jet imaged using Mueller polarimetry

Phase crystals

Structure and Properties of the Non‐Centrosymmetric Manganese(II) Borate Mn₅(BO₃)₃OH

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Symmetry, Group Theory, and the Physical Properties of Crystals

Cited by 78 publications

References 0 publications

Electric field and temperature in a target induced by a plasma jet imaged using Mueller polarimetry

Electric field and temperature in a target induced by a plasma jet imaged using Mueller polarimetry

Phase crystals

Structure and Properties of the Non‐Centrosymmetric Manganese(II) Borate Mn5(BO3)3OH

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Product

Resources

About

Structure and Properties of the Non‐Centrosymmetric Manganese(II) Borate Mn₅(BO₃)₃OH