hey can anybody explain me, the hydrogen spectrum by Bohr's model
Answers
The Bohr Atom. ... Bohr assumed that electrons orbit the nucleus at certain discrete, or quantized, radii, each with an associated energy. He also assumed that when electrons "fall" from larger to smaller orbits, they release electromagnetic radiation obeying the Planck-Einstein relationship.
Key points
Bohr's model of hydrogen is based on the nonclassical assumption that electrons travel in specific shells, or orbits, around the nucleus.
Bohr's model calculated the following energies for an electron in the shell, nnn:
E(n)=-\dfrac{1}{n^2} \cdot 13.6\,\text{eV}E(n)=−
n
2
1
⋅13.6eVE, left parenthesis, n, right parenthesis, equals, minus, start fraction, 1, divided by, n, start superscript, 2, end superscript, end fraction, dot, 13, point, 6, space, e, V
Bohr explained the hydrogen spectrum in terms of electrons absorbing and emitting photons to change energy levels, where the photon energy is
h\nu =\Delta E = \left(\dfrac{1}{{n_{low}}^2}-\dfrac{1}{{n_{high}}^2}\right) \cdot 13.6\,\text{eV} hν=ΔE=(
n
low
2
1
−
n
high
2
1
)⋅13.6eV
Bohr's model does not work for systems with more than one electron.
The planetary model of the atom
At the beginning of the 20th century, a new field of study known as quantum mechanics emerged. One of the founders of this field was Danish physicist Niels Bohr, who was interested in explaining the discrete line spectrum observed when light was emitted by different elements. Bohr was also interested in the structure of the atom, which was a topic of much debate at the time. Numerous models of the atom had been postulated based on experimental results including the discovery of the electron by J. J. Thomson and the discovery of the nucleus by Ernest Rutherford. Bohr supported the planetary model, in which electrons revolved around a positively charged nucleus like the rings around Saturn—or alternatively, the planets around the sun.
Image of Saturn and rings
Many scientists, including Rutherford and Bohr, thought electrons might orbit the nucleus like the rings around Saturn. Image credit: Image of Saturn by NASA