Elastic Properties of Vanadium. I. Temperature Dependence of the Elastic Constants and the Thermal Expansion

Bolef, D. I.; Smith, Robert S.; Miller, James G.

doi:10.1103/physrevb.3.4100

Cited by 100 publications

(34 citation statements)

References 20 publications

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“…Fig. 3 shows the experimental absorption signals observed in the temperature range of 9 t o 294 K. The change of B with temperature, calculated from published values of the impurity-independent dc conductivity [29] and sound velocity [30], is given by the dashed line in Fig. 4.…”

Section: Resultsmentioning

confidence: 99%

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Nuclear Acoustic Resonance Absorption and Dispersion in Vanadium via Coupling to the Magnetic Dipole Moment

Müller¹,

Schanz²,

Fischer³

et al. 1977

Physica Status Solidi (b)

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The first observation of both NAR absorption and NAR dispersion in a single crystal vanadium due to the coupling of longitudinal acoustic waves to the magnetic dipole moment of the V5* nuclei is reported. The experiment is performed in the temperature range of 5 to 294 K. The obRerved angular dependence and NAR line shapes are in good agreement with the formvlas derived in this paper.Es wird uber den ersten erfolgreichen Nachweis von NAR-Absorptions-und NAR-Dispersionssignalen in einem Vanadiumeinkristall mit longitudinalem Schall berichtet. Die Kopplung des Schallfeldes mit den VSl-Kernen erfolgt iiber die Wechselwirkung mit dem magnetischen Kerndipolmoment. Die Messungen werden im Temperaturbereich von 5 bis 294 K durchgefuhrt. Die beobachtete Winkelabhangigkeit und NAR-Linienform sind in guter ubereinstimmung mit den in dieser Arbeit abgeleiteten Formeln. IntrodudionI n conducting materials in the presence of a dc magnetic field B,, a sound wave produces a n electric current which results in an internal electromagnetic field oscillating coherently with the sound wave [l]. I n metals an acoustic wave therefore may induce nuclear magnetic dipole transitions which are detected through a change in ultrasonic phase velocity and attenuation. This coupling mechanism has been observed in several pure metals [2 to 81 and generally the resulting NAR signals are found to be asymmetric. This asymmetry has been expressed by several authors in terms of the real and imaginary part of the complex nuclear magnetic spin susceptibility x. The actual expressions [9 to 181, however, differ markedly in their dependencies on x' and f ' and the final result of a comprehensive theory [ 161 is not in agreement with experiment if x is interpreted as conventional nuclear magnetic spin susceptibility observed in NMR. Furthermore we feel that most of the actual derivations of the given formulas do not reveal the physics. To elucidate the physical origin of the terms causing the observed asymmetry of the NAR lines, we choose a model [19] where the real metal is substituted by a gas of conduction electrons embedded in a background of positive ions and the interaction between the charged particles is replaced by the interaction with a self-consistent electromagnetic field derived from Maxwell's equations. When an acoustic wave propagates in the metal, the ions will experience oscillatory motions which are screened by the condution electrons. I n the presence of an external magnetic field, however, the screening is not quite complete so that there is a small resultant current density j. Hence, in addition to the ordinary elastic force density, the Lorentz force density

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Section: Resultsmentioning

confidence: 99%

“…we have varied the paranieterp via the temperature dependence of the dc conductivity. Furthermore we have restricted our investigations to the NAR absorption lineshape calculated from published values of the impurity-independent dc conductivity [29] and sound velocity [30], is given by the dashed line in Fig. 4.…”

Section: Resultsmentioning

confidence: 99%

Nuclear Acoustic Resonance Absorption and Dispersion in Vanadium via Coupling to the Magnetic Dipole Moment

Müller¹,

Schanz²,

Fischer³

et al. 1977

Physica Status Solidi (b)

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“…Values of Fe and V elastic constants (sometimes with extrapolation) were taken from [1,10,11]. There is a feature in bcc crystals (AE1 1 1ae Burgers vector) that is absent in fcc crystals (AE1 1 0ae Burgers vector).…”

Section: Elastic Stress Fields Of Dislocationsmentioning

confidence: 99%

Influence of stress fields of dislocations on formation and spatial stability of point defects (elastic dipoles) in V and Fe crystals

Sivak

Романов

Чернов

2003

Journal of Nuclear Materials

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“…В данной работе рассмотрены дислокационные скопления в виде малоугловых границ наклона (МГН -бесконечные дислокационные стенки, состоящие из краевых дислокаций в основных системах скольжения <111>{110} и <111>{112}) и исследовано влияние их полей напряжений на образование и направление миграции СТД в ОЦК-кристаллах Fe и V. Кристаллы Fe и V обладают различными факто-рами упругой анизотропии A = 2C 44 /(C 11 -C 12 ), равными 2,32 и 0,81 для Fe и V (при температурах, близ-ких к 0 K) соответственно (C 11 , C 12 и C 44 -упругие постоянные [2,8,9]). …”

Section: Introductionunclassified

Interaction of Self-Point Defects With Low-Angle Tilt Boundaries in BCC Iron and Vanadium Crystals

Sivak¹,

Sivak²,

Романов³

et al. 2015

PAST-TF

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Взаимодействие собственных точечных дефектов с малоугловыми границами наклона в железе и ванадии ВАНТ. Сер. Поля напряжений дислокационных скоплений (границ разных типов) оказывают значительное влияние на образование и кине-тику собственных точечных дефектов (СТД: вакансий и межузельных атомов), определяя особенности образования и распада твёрдых растворов СТД. В связи с этим представляется важным исследовать влияние полей напряжений от дислокационных скоплений (границ) на энергетику образования и миграции СТД в кристаллах с разными степенями упругой анизотропии. В рамках анизотропной теории упругости рассчитана пространственная зависимость энергии взаимодействия СТД с малоугловы-ми границами наклона (бесконечные дислокационные стенки, состоящие из краевых дислокаций в системах скольжения <111>{110} и <111>{112}) в ОЦК-кристаллах железа и ванадия. Определены расстояния до малоугловых границ, на которых это взаимодействие существенно влияет на поведение СТД, в зависимости от температуры и угла разориентировки границ. При однородной генерации СТД по всему объёму кристалла их потоки слева и справа на малоугловую границу наклона могут быть разными.Ключевые слова: железо, ванадий, дислокационные стенки, малоугловые границы, поля напряжений, вакансии, собственные межузельные атомы, анизотропная теория упругости, взаимодействие, энергия образования и миграция собственных точечных дефектов. Stress fields of dislocation agglomerations (boundaries of different types) significantly affect the formation and kinetics of self-point defects (SPDs: vacancies and self-interstitial atoms) determining additional features of formation and decomposition of SPD solid solutions. Therefore it is important to study the influence of the dislocation agglomerations (boundaries) stress fields on the SPD formation and migration energies in crystals with different elastic anisotropy. Spatial dependence of the interaction energy of SPDs with low-angle tilt boundaries (infinite dislocation walls consisting of edge dislocations in slip systems <111>{110} and <111>{112}) in bcc iron and vanadium crystals has been calculated within the anisotropic theory of elasticity. Distances to the boundaries, at which this interaction appreciably affects the behaviour of SPDs against the temperature and the boundary misorientation angle have been determined. At spatially homogeneous generation of SPDs throughout the whole crystal volume, their fluxes from the left and the right onto a low-angle tilt boundary can differ. INTERACTION OF SELF-POINT DEFECTS WITH LOW-ANGLE TILT BOUNDARIES IN BCC IRON AND VANADIUM CRYSTALSKey words: iron, vanadium, dislocation walls, low-angle tilt boundaries, stress fields, vacancies, self-interstitial atoms, anisotropic theory of elasticity, interaction, self-point defects formation and migration energies. ВВЕДЕНИЕДислокации и их скопления разных типов являются основными источниками внутренних напряже-ний в металлических кристаллах и основанных на них конструкционных сталей и сплавов. Их поля на-пряжений оказывают значительное вл...

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Elastic Properties of Vanadium. I. Temperature Dependence of the Elastic Constants and the Thermal Expansion

Cited by 100 publications

References 20 publications

Nuclear Acoustic Resonance Absorption and Dispersion in Vanadium via Coupling to the Magnetic Dipole Moment

Nuclear Acoustic Resonance Absorption and Dispersion in Vanadium via Coupling to the Magnetic Dipole Moment

Influence of stress fields of dislocations on formation and spatial stability of point defects (elastic dipoles) in V and Fe crystals

Interaction of Self-Point Defects With Low-Angle Tilt Boundaries in BCC Iron and Vanadium Crystals

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