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Theorem of Pappus01:24

Theorem of Pappus

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The Theorem of Pappus, also known as the Pappus–Guldinus Theorem, provides a geometric method for determining the volume and surface area of solids generated by the revolution of a plane region or a plane curve about an external axis. The theorem consists of two related statements. The first addresses the volume of solids formed by rotating plane areas, while the second addresses the surface area generated by rotating plane curves. Both results depend on the location of the centroid,...
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Reflective Property of Parabolas01:26

Reflective Property of Parabolas

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A parabola is a basic type of conic section that results from the intersection of a plane with a double-napped cone in a direction parallel to one of the cone's sides. This U-shaped curve has a distinctive reflective property: all incoming rays parallel to its axis of symmetry are directed toward a single point, known as the focus. This property is widely utilized in optical and communication technologies that require precise signal concentration.In analytic geometry, a parabola is defined as...
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Realization of the pascal based on argon using a Fabry-Perot refractometer.

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    |June 14, 2024
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    This study realizes the SI unit of pressure, the pascal, up to 100 kPa using argon polarizability and a Fabry-Perot refractometer. It also provides a precise molar polarizability value for nitrogen (N2) at 1550 nm.

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    Area of Science:

    • Metrology and Quantum Optics
    • Gas Phase Physics and Chemistry

    Background:

    • Accurate realization of the SI unit of pressure is crucial for scientific and industrial applications.
    • Gas polarizability measurements provide fundamental data for understanding molecular properties and interactions.

    Purpose of the Study:

    • To realize the SI unit of pressure (pascal) up to 100 kPa using argon polarizability.
    • To determine the molar polarizability of nitrogen (N2) at a specific wavelength and temperature.

    Main Methods:

    • Utilized a Fabry-Perot refractometer operating at 1550 nm.
    • Combined experimental static polarizability of argon with first-principle calculations of frequency-dependent dipole polarizability.
    • Performed measurements at a temperature of 302.9146 K.

    Main Results:

    • Achieved a realization of the pascal up to 100 kPa with a combined uncertainty.
    • Determined the molar polarizability of N2 at 1550 nm and 302.9146 K to be 4.396572(26) × 10^-6 m^3/mol.
    • The obtained N2 molar polarizability value shows good agreement with previous determinations.

    Conclusions:

    • The study demonstrates a novel method for pressure realization based on gas polarizability.
    • The precise molar polarizability of N2 contributes valuable data to the field of molecular spectroscopy and gas phase physics.