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Measuring Planck’s Constant Using Light Emitting Diodes


Affiliations
1 Nova International Schools, Prashka 27 1000 Skopje, North Macedonia, Macedonia, the former Yugoslav Republic of
 

This experiment aims to minimize the margin of error when calculating Planck’s constant (h) using accessible equipment. The study is based on the fact that electromagnetic radiation is quantized and obeys the Planck-Einstein relation. Throughout this experiment, the activation voltage (Vac) and wavelength (λ) of light emitting diodes was measured. To analyze the collected data, two methods were employed. The result from Method 1 was based on analytic calculations, whereas the result from Method 2 was generated through graphical computations. In Method 2, Planck’s constant was represented as a factor of the slope on the λ−1 and Vac linear graph. As hypothesized, Method 2 had a substantially lower margin of uncertainty and yielded a value that had an error of 3.7%. This result is significantly closer to the conventional h when compared to the 5.2% error that was observed in Method 1. However, with respect to the margin of uncertainty, the value of Planck’s constant is within the range of both results. Evidently, the representation of a physical constant as a factor of the slope on a linear graph proved to be a more accurate data analysis method than the analytical averaging of experimental values. This graphical analysis procedure can be employed in various complex physical experiments in order to increase the precision of the final results.

Keywords

Planck-Einstein Relation, Planck’s Constant, Activation Voltage, Margin of Uncertainty.
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  • Tunahan I, Berkay BE. Franck– hertz experiment. 2015.

  • Planck M. On the theory of the energy distribution law of the normal spectrum. Dtsch Phys Ges. 1900;2:1-8.

  • Boyer TH. The contrasting roles of Planck's constant in classical and quantum theories. Am J Phys. 2018;86:280-3.

  • Chang DC. Physical interpretation of Planck's constant based on the Maxwell theory. Chinese Phys. 2017;26:040301.

  • Broglie L. Recherches sur la theorie des quanta. 1924.

  • Dirac PAM. The principles of quantum mechanics. 4th edn. Oxford: Clarendon Press. 1981;87.

  • Heisenberg W. The physical content of quantum kinematics and mechanics see in: Quantum theory of measurement. Z Phys. 1927;43:172.

  • Liu WM, Kengne E. Schrödinger equations in nonlinear systems. Springer, Singapore, 2019.

  • Wheeler N. Dirac delta function identities. 1997.

  • Ali A, Seadawy AR, Lu D. Soliton solutions of the nonlinear Schrödinger equation with the dual power law nonlinearity and resonant nonlinear Schrödinger equation and their modulation instability analysis. Optik. 2017;145:79-88.

  • https://codata.org/initiatives/strategic-programme/fundamental-physical-constants/.

  • Haddad D, Seifert F, Chao LS, et al. Measurement of the Planck constant at the National Institute of Standards and Technology from 2015 to 2017. Metrologia. 2017;54:633.

  • Hui R. Introduction to fiber-optic communications. Elsevier/Academic Press, 2020.

  • https://web.mit.edu/dvp/Public/noise-paper.pdf.

  • Rodwell M. ECE594I Notes set 7: Shot noise.

  • Paltiel Y, Snapi N, Zussman A. Non-Gaussian dark current noise in p-type quantum-well infrared photodetectors. Appl Phys Lett. 2005;87: 231103.

  • Millikan RA. On the elementary electrical charge and the avogadro constant. Am Institute Phys. 1913.

  • Wu XY, Zhang BJ, Yang JH, et al. Quantum theory of light diffraction. J Mod Opt. 2010;57:2082-2091.

  • Hossain MM, Pant T, Vineeth C, et al. Daytime sodium airglow emission measurements over trivandrum using a scanning monochromator: First results. Annales Geophysicae. 2010;28:2071-2077.

  • Francis VJ, Jenkins HG. Electric discharge lamps. Research Laboranries of the General Electric. 1941.

  • Rennie R, Law J. Sodium-vapour lamp. A dictionary of physics. Oxford University Press, 2019.

  • Nyquist H. Thermal agitation of electric charge in conductors. Phys Rev. 1928;32:110-113.

  • Saito T. Spectral properties of semiconductor photodiodes. Advances in Photodiodes. 2011;1:3-24.


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  • Measuring Planck’s Constant Using Light Emitting Diodes

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Authors

Mila Bileska
Nova International Schools, Prashka 27 1000 Skopje, North Macedonia, Macedonia, the former Yugoslav Republic of

Abstract


This experiment aims to minimize the margin of error when calculating Planck’s constant (h) using accessible equipment. The study is based on the fact that electromagnetic radiation is quantized and obeys the Planck-Einstein relation. Throughout this experiment, the activation voltage (Vac) and wavelength (λ) of light emitting diodes was measured. To analyze the collected data, two methods were employed. The result from Method 1 was based on analytic calculations, whereas the result from Method 2 was generated through graphical computations. In Method 2, Planck’s constant was represented as a factor of the slope on the λ−1 and Vac linear graph. As hypothesized, Method 2 had a substantially lower margin of uncertainty and yielded a value that had an error of 3.7%. This result is significantly closer to the conventional h when compared to the 5.2% error that was observed in Method 1. However, with respect to the margin of uncertainty, the value of Planck’s constant is within the range of both results. Evidently, the representation of a physical constant as a factor of the slope on a linear graph proved to be a more accurate data analysis method than the analytical averaging of experimental values. This graphical analysis procedure can be employed in various complex physical experiments in order to increase the precision of the final results.

Keywords


Planck-Einstein Relation, Planck’s Constant, Activation Voltage, Margin of Uncertainty.

References