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Atomic Structure

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Published in: Chemistry
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Atomic Structure Notes

Sachin S / Pune

14 years of teaching experience

Qualification: M.Sc (Pune University - 2008), B.Sc (Yashwant College - 2006)

Teaches: Chemistry, AIEEE, BITSAT, CET, IIT JEE Advanced, IIT JEE Mains, AIPMT, Medical Entrance Exams, NEET

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  1. SNOIV
  2. ATOMS MODULE 03 In this module, wc learn about
  3. ATOMS Bohr's model of the hydrogen atom: Bohr combined classical and quantum concepts and gave his theory in the form of three postulates : 1. An electron in an atom could revolve in certain stable orbits without the emission of radiant energy. Hence, these orbits are also called "stationary orbits".
  4. ATOMS Bohr's model of the hydrogen atom: Bohr combined classical and quantum concepts and gave his theory in the form of three postulates : 2. Electron revolves around the nucleus only in those orbits for which the angular momentum (L) is some integral multiple of h/2Tt, where h is the Planck's constant. where n = 1,2,3,.... n = principal 2Tt quantum number.
  5. ATOMS Bohr's model of the hydrogen atom Bohr combined classical and quantum concepts and gave his theory in the form of three postulates : 3. An electron might make a transition from one of its specified non radiating orbits to another of lower energy. When it does so, a photon is emitted having energy equal to the energy difference between the initial and final states. ho=E
  6. ATOMS Radius of orbit (r): For an electron revolving around a stationary nucleus the electrostatic force of attraction provides the necessary centripetal force . That is i.e., I (Ze)e _ m v2
  7. ATOMS Also L = mvr = From the above equations, radius of the nth orbit is given by n2 112 € - 4 It k Z me — It m Ze The radius of the innermost orbit (n=l) of the hydrogen atom (z=l) is called Bohr's radius ro i.e., 0.53 AO 1
  8. ATOMS Speed of electron: From the above relations, speed of electron in nth orbit can be calculated as 211kZe2 Ze2 c ) z=2.2x106 z G) m/s - k137 nh The ratio of speed of an electron in the ground state in Bohr's first orbit of hydrogen atom to velocity of light in air equal to 2Eoch (where 'c' is the speed of light in air).
  9. ATOMS Angular frequency of electron in nth orbit on . 8112k2Z2e4m_ ooz2 8Tt3k2e4m where, 00 = n3h3 h3 where '00' is angular frequency of electron in first Bohr's orbit of hydrogen atom, 4.459 x 106 zz rad/sec Frequency of electron in nth orbits 4T1k2 Z2me4 n3h
  10. ATOMS Period of revolution of electron in nth orbit (Tn): n3h3 4Ttme4k2Z2 Tn = To—2 where, 4112me4k2 3 -16 E— sec 1.5 x 10 z2
  11. ATOMS Electric current due to electron motion in nth orbit (In ): 4Tt2k2Z2e5m n Magnetic moment produced due to electron motion in nth orbit, M = iA = 7tr%In
  12. ATOMS Total energy of electron in nth orbit: kZe2 2112 2rn — RchZ2 (R=Ryberg constant) z2 136 me 8Eåh c = 1.03x107m-1
  13. ATOMS 1. The electron can revolve only in certain discrete non radiation orbits called as orbits. a) b) d) elliptical unstable stationary geo-stationary
  14. ATOMS 2. The total angular momentum of the revolving electrons is an integral multiple of ..... h/27t b) h/7t C) Tt/h d) 117t/h
  15. ATOMS 3. Electric current due to electron motion in nth orbit In a) inversely proportional b) equal Vc) directly proportional d) not equal Z2m
  16. ATOMS Thank you...