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In Sommerfeld extension, the path of the electron's rotation is an ellipse with a major and a minor axes of 2a & 2b lengths. Out of the two foci on the major axis, the nucleus locates in only one of them.<br><br>With orbiting, both the distance of the electron and the rotation angle will vary. Eccentricity is the deviation of the elliptical shape of orbit from circularity. <br><br>For more information on this concept, kindly visit our blog article at;<br>https://jayamchemistrylearners.blogspot.com/2022/04/bohr-sommerfeld-model-chemistrylearners.html
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Eccentricity of elliptical orbits Eccentricity is the deviation of the elliptical shape of orbit from circularity. The symbol ‘ε’ denotes it The relationship between the eccentricity and the azimuthal quantum number is The eccentricity of an elliptical orbit is the ratio of the lengths of minor and major axes. Any variation in their values changes the eccentricity of the elliptical orbit. It shows the relationship between the Bohr's principal quantum number & Sommerfeld's azimuthal quantum number n (Principal quantum number) k (azimuthal quantum number) ε= Eccentricity Necessary conditions for eccentricity When k=n, then b=a. It implies that if the lengths of both major and minor axes are equal, then the orbit must be circular. When k<n then b<a It shows the elliptical orbit eccentricity decreases with the k value increase When k=0 The k=0 indicates the linear motion of the electron that passes through the nucleus. Blog: https://jayamchemistrylearners.blogspot.com/
