![]() In 1913, Bohr developed a quantum model for the hydrogen atom. Wavelength (): Distance between two consecutive peaks Frequency (): Number of waves per second that pass a given point in space = c Where C is the speed of light & C = 2.9979108 m/s = c / Since the speed of light is a constant, as wavelength decreases, then frequency must increase.Ĭalculating the Balmer & Lyman Series As noted earlier, the four bands of light calculated by Balmer could be simply calculated using the Rydberg equation: * Where v = frequency n = the quantum number R =(Rydberg constant) R = 3.29 1015 Hz 1 Hz = 1 s-1 The permitted energy levels of a hydrogen atom. To calculate the wavelengths (p 65) – Recall that Frequency and Wavelength are related where frequency times wavelength equals the speed of light. Einstein envisioned light as small discrete particles of energy which he called photons. energy can be gained or lost only in whole-number multiples of the quantity h.) This hypothesis was later extended by Albert Einsteinto include light. The profile of radiation emitted from a black body In 1900, Planck hypothesized that energy was quantized (i.e. Quantum Properties of Light E = nh E – the change in Energy n= 1, 2, 3, … h – (Planck’s constant) h = 6.62610-34 Js = frequency Max Karl Ernst Ludwig Planck (Ap– October 4, 1947) German Physicist The Nobel Prize in Physics 1918 for The discovery of energy quanta. Johann Jakob Balmer (– March 12, 1898) Swiss Mathematician & Honorary Physicist ![]() ![]() His empirical formula for the visible spectral lines of the hydrogen atom was later found to be aspecial case of the Rydberg formula, devised by Johannes Rydberg. Hydrogen Spectrum – The Balmer Series In 1885,Johann Jakob Balmer analyzed the hydrogen spectrum and found that hydrogen emitted four bands of light within the visible spectrum. In the visible region, there are only four wavelengths. The hydrogen line spectrum contains only a few discrete wavelengths. PART A: Calculate the wavelengths for Hydrogen and compare them to the Hydrogen line spectrum from a Scanning Spectrophotometer.
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