Question

How do quantum mechanics and numbers play into both Bohr's model of the atom and Heisenburg's model?

Answer 1

The quantized outflow spectra showed to Bohr that maybe electrons could just exist inside the iota at certain nuclear radii and energies. Review that quantized alludes to the way that vitality must be assimilated and transmitted in a scope of passable values instead of with any conceivable esteem. The accompanying chart of the Bohr demonstrate demonstrates the electron existing in a limited number of permitted circles or shells around the nucleus.From this model, Bohr inferred a condition that accurately anticipated the different vitality levels in the hydrogen molecule, which related straightforwardly to the emanation lines in the hydrogen range. Bohr's model was likewise effective at foreseeing the vitality levels in other one-electron frameworks, for example, \text{He}^+He ​+​​ H, e, begin superscript, besides, end superscript. Notwithstanding, it neglected to clarify the electronic structure in molecules that contained more than one electron.

Wave-molecule duality and the de Broglie wavelength :Another significant advancement in quantum mechanics was spearheaded by French physicist Louis de Broglie. In view of work by Planck and Einstein that demonstrated how light waves could show molecule like properties, de Broglie speculated that particles could likewise have wavelike properties.

De Broglie determined the accompanying condition for the wavelength of a molecule of mass \text mmm (in kilograms , g), going at speed (in m/s} is the de Broglie wavelength of the molecule in meters and h is Planck's consistent, 6.626 \times 10^{-34} \,\dfrac{\text{kg} \cdot \text m^2}{\text s}6.626×10^​−34 ​kg⋅m ​​

lambda=h/ mv

​​ lambda, squares with, begin part, h, isolated by, m, v, end portion

Take note of that the de Broglie wavelength and molecule mass are conversely corresponding. The opposite relationship is the reason we don't see any wavelike conduct for the naturally visible articles we experience in regular day to day existence. Things being what they are the wavelike conduct of matter is most huge when a wave experiences a deterrent or opening that is a comparable size to its de Broglie wavelength. Be that as it may, when a molecule has a mass on the request of 10^{-31}10^​31 as an electron does, the wavelike conduct gets to be sufficiently critical to prompt to some extremely fascinating marvels.