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May 14, 2026International Journal of Thermophysics1 citationsOpen Access

Thermophysical Properties of Niobium (1000–2700 K): Multi-stepwise Pulse-Heating Measurements with Consistency Validation via a Revised Emissivity–Resistivity Relation

HWHiromichi Watanabe

Key Points

  • This research aims to measure and validate the thermophysical properties of niobium at high temperatures ranging from 1000 K to 2700 K.
  • Multi-stepwise pulse-heating technique was employed for quasi-static and dynamic evaluations.
  • Fresnel-based optical modeling was used to derive a Schmidt–Eckert relation for emissivity validation.
  • Calorimetric measurements were performed to establish resistivity-derived emissivity reference over the defined temperature range.
  • Enthalpy values showed a difference between quasi-static and transient analyses, indicating time-scale-dependent effects.
  • Measured emissivity aligns with Drude/Hagen–Rubens reference from 1400 to 2300 K, reinforcing heat capacity evaluations.
  • Working enthalpy and heat capacity were obtained with expanded uncertainties of ~2.9% and ~2.0%, respectively.

Abstract

Abstract Thermophysical properties of niobium were measured from 1000 K to 2700 K using a multi-stepwise pulse-heating technique that enables quasi-static and dynamic evaluations within a single heating sequence. Electrical resistivity, hemispherical total emissivity, specific enthalpy, and isobaric heat capacity were obtained, and the difference between enthalpy values obtained from quasi-static and transient analyses served as an internal indicator of time-scale-dependent effects, especially near T₌ T m. To assess cross-property consistency, we re-derived a Schmidt–Eckert relation using Fresnel-based optical modeling with Planck-weighted hemispherical integration, providing a resistivity-derived emissivity reference over the present T ρ T range. The calorimetrically measured emissivity agrees with the Drude/Hagen–Rubens-based reference over 1400–2300 K, defining an intrinsically reliable window for emissivity-corrected heat capacity evaluation, while data up to 2700 K remain practically usable for engineering applications when their expanded combined uncertainties are considered. Within these validated limits, working enthalpy and heat capacity were obtained with expanded combined uncertainties (k = 2) of ~ 2. 9 % and ~ 2. 0 %, respectively. This combined strategy—time-scale analysis plus resistivity-based validation—strengthens confidence in pulse-heating thermophysical data and provides insight into near- T₌ T m behavior of refractory metals.

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Cite This Study

Hiromichi Watanabe (2026) studied this question.

synapsesocial.com/papers/6a0567a8a550a87e60a1fd68https://doi.org/10.1007/s10765-026-03765-z
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