Thermal Expansion

Touloukian, Y. S.; Kirby, R. K.; Taylor, R. E.; Lee, T. Y. R.

doi:10.1007/978-1-4757-1631-3

Cited by 260 publications

(42 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…4 shows the temperature dependence of the GeÐGe nearest-neighbour distance at 0.1 MPa. The temperature dependence of the distance is consistent with the curvature derived from the literature (Singh, 1968;Touloukian et al, 1970). The errors for the distances, which were estimated from statistical ®tting errors, were approximately 0.002 A Ê .…”

Section: Resultssupporting

confidence: 88%

Pressure and temperature dependence of EXAFS Debye–Waller factors in diamond-type and white-tin-type germanium

Yoshiasa

Nagai

Ohtaka

et al. 1999

J Synchrotron Radiat

View full text Add to dashboard Cite

Extended X-ray absorption ®ne-structure (EXAFS) spectra near the Ge K-edge in diamond-and white-tin-type Ge under high temperature and high pressure were measured using a cubic-anvil-type apparatus (MAX90) with synchrotron radiation from the Photon Factory, Tsukuba, Japan. Pressure values up to 10.6 GPa were estimated on the basis of the isothermal equation of state of the diamondtype Ge within an accuracy of 0.4 GPa. Pressures for the same cell assembly were also determined by X-ray diffraction experiment using the NaCl scale. The diamond-type Ge is of great advantage to the pressure calibrant of EXAFS measurements at elevated temperature because a harmonic approximation can be applied up to 900 K. By the phase transition from diamond-to white-tintype phases, with an increase in coordination number, GeÐGe distances increase. A sixfoldcoordinated Ge atom in the white-tin-type structure has crystallographically non-equivalent two kinds of nearest-neighbour distances [2.530 (8) A Ê and 2.697 (8) A Ê at 12.8 GPa]. The harmonic effective interatomic potential, V(u) = 1/2u 2 , was evaluated from the contribution to the thermal vibration, where u is the deviation of the bond distance from the location of the potential minimum. The potential coef®cient, , at 0.1 MPa is essentially temperature independent and is 9.06 eV A Ê À2 . At 9 GPa the potential coef®cient is 9.71 eV A Ê À2 . The effective interatomic potential is in¯uenced not only by pressure but also by changes in coordination number. The high-pressure white-tin-type phase has a broader potential and a relatively larger mean square amplitude of vibration than the diamondtype phase.

show abstract

Section: Resultssupporting

confidence: 88%

Pressure and temperature dependence of EXAFS Debye–Waller factors in diamond-type and white-tin-type germanium

Yoshiasa

Nagai

Ohtaka

et al. 1999

J Synchrotron Radiat

View full text Add to dashboard Cite

show abstract

“…The curve for the SiC component is shown, and the difference curve is also indicated. Figure 3 shows the a-lattice parameters of Al 2 O 3 with temperature in the first 3 samples as compared to the values calculated from the polynomial given by Touloukian [16]. From a correspondence at room temperature, the lattice parameters deviate increasingly at higher temperatures mainly because of increased heat losses and poor heat conduction from the heating strip to the sample via the sample holder in samples 1 and 2.…”

Section: Resultsmentioning

confidence: 94%

“…Figure 3. Variation of the a-lattice parameter of alumina at increasing temperatures in comparison to the values calculated using the polynomial by Touloukian [16]. T T T c…”

Section: Resultsmentioning

confidence: 97%

The thermal expansion of 3C–SiC in TRISO particles by high temperature X-ray diffraction

Ngoepe

Villiers

2013

Journal of Nuclear Materials

View full text Add to dashboard Cite

The lattice parameter change of SiC in TRISO particles prepared by chemical vapour deposition (CVD) was measured using high temperature X-ray diffraction, across a temperature range of 25 to 1400°C. Al 2 O 3 was used as the internal standard and the SiC temperature corrections were calibrated using its two independent lattice parameter values along the a-and c-axes. Experimental unit cell values of SiC at low temperatures corresponded well with those published in previous literature, but deviated systematically at higher temperatures. Thermal expansion coefficients of the CVD prepared SiC shell material are considered the most accurate and follow a linear trend with increasing temperature (α 11 = 2.7706 x 10 -9 T + 3.3048 x 10 -6 K -1 ). The TRISO particles are described best using non-linear expansion coefficients. Apparent is the deviation in the SiC lattice constants of the shell material and the TRISO particles from which it originated. This could indicate a residual strain in the TRISO particles or a difference in sample displacement between the TRISO particles and the surrounding alumina standard. The room temperature lattice constant for the shell material is 4.36030Å (SD 0.00006Å) as compared with that of the TRISO sample of 4.35835Å (SD 0.00006Å) after adjusting the sample displacement to get alumina lattice constants as close to the accepted values. Residual stress of ~300MPa is calculated from the lattice constant differences.

show abstract

“…at 298 K [66][67][68][69]. In addition, α increased as the oxygen vacancies increased for ceria, indicating that the +3/+4 ratio of cerium in the coatings is important.…”

Section: Electrochemical Synthesis Of Cerium Oxidesmentioning

confidence: 98%

Electrochemical Synthesis of Rare Earth Ceramic Oxide Coatings

Golden¹,

Shang²,

Wang³

et al. 2015

Advanced Ceramic Processing

View full text Add to dashboard Cite

Rare earth ceramic oxides are used in several applications including, phosphors, gas sensors, fuel cells, catalytic converters, and corrosion protection. These materials exhibit attractive properties such as fracture toughness, stiffness, and high strengthto-weight ratios. Synthesis of rare earth oxides includes a long list of techniques, but electrodeposition is one that has not been used as extensively as other techniques. This chapter discusses in detail the electrochemical synthesis of lanthanum, cerium, and praseodymium oxides. The physical and chemical properties of the electrodeposited oxides are characterized by x-ray diffraction, scanning electron microscopy, x-ray photoelectron spectroscopy, and other techniques. The electrochemical synthesis and post-treatment of other rare earth oxides, such as gadolinium, terbium, samarium, neodymium, europium, and dysprosium oxides are also covered in this chapter. Two main mechanisms of electrodeposition for rare earth oxides are discussed in detail.

show abstract

Thermal Expansion

Cited by 260 publications

References 0 publications

Pressure and temperature dependence of EXAFS Debye–Waller factors in diamond-type and white-tin-type germanium

Pressure and temperature dependence of EXAFS Debye–Waller factors in diamond-type and white-tin-type germanium

The thermal expansion of 3C–SiC in TRISO particles by high temperature X-ray diffraction

Electrochemical Synthesis of Rare Earth Ceramic Oxide Coatings

Contact Info

Product

Resources

About