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In Voltaire’s “Elémens de la Theorie de Newton“ (1738)

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Presentation on theme: "In Voltaire’s “Elémens de la Theorie de Newton“ (1738)"— Presentation transcript:

1 In Voltaire’s “Elémens de la Theorie de Newton“ (1738)

2 Fraunhofer Absorption Lines in the Sun’s Spectrum
Na D lines Orange street lamps contain sodium

3 Emission Spectra from Nebulae

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5 Photon from local star

6 photoionisation

7 recombination

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11 Energy Levels E(n) = - R/n2

12 Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1)

13 Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = cm-1

14 Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = cm-1 For n=  emission lines

15 Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = cm-1 For n=  emission lines n2 = n+1 n1 = n

16 Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = cm-1 For n=  emission lines n2 = n+1 n1 = n Transition Frequencies F(n1) = - R[ 1/n22 – 1/n12]

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18 Bohr radius

19 Bohr radius an = a1n2

20 Bohr radius an = a1n2 a1 ~ 0.5 Å

21 Bohr radius an = a1n2 a1 ~ 0.5 Å a1 = Å

22 Bohr radius an = a1n2 a1 ~ 0.5 Å a1 = Å (Å = 10-8 cm)

23 a2 ~ 0.5 x4 Å = 2 Å

24 a3 ~ 0.5 x 9 Å = 4.5 Å

25 a3 ~ 0.5 x 16 Å = 8 Å

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