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Chapter Four: Single electron atom (H-atom)

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الكلية كلية التربية للعلوم الصرفة     القسم قسم الفيزياء     المرحلة 3
أستاذ المادة فؤاد عطية مجيد       13/12/2016 22:07:06
Line spectra of Hydrogen atoms

It is found that hydrogen always gives a set of line spectra in the
save position, sodium another set, iron still another and so on the line
structure of the spectrum extends into both the ultraviolet and
infrared regions. It is impossible to explain such a line spectrum
phenomenon without using quantum theory. For many years,
unsuccessful attempts were made to correlate the observed
frequencies with those of a fundamental and its overtones (denoting
other lines here). Finally, in 1885, Balmer found a simple formula
which gave the frequencies of a group lines emitted by atomic
hydrogen. Since the spectrum of this element is relatively simple, and
fairly typical of a number of others, we shall consider it in more
detail.

Under the proper conditions of excitation, atomic hydrogen may
be made to emit the sequence of lines illustrated in Fig. 4.1. This
sequence is called series.

There is evidently a certain order in this spectrum, the lines
becoming crowded more and more closely together as the limit of the
series is approached. The line of longest wavelength or lowest

frequency, in the red, is known as Ha, the next, in the blue-green, as Hb,
the third as Hg, and so on.
Balmer found that the wavelength of these lines were given accurately
by the simple formula

4.1 Bohr model for H-atom

Let’s suppose an atom consists of nucleus with charge (Ze) and mass M
and electron of charge (e) and mass m moving in circular orbit around
the nucleus.
The electron moving around the nucleus under the influence of the
Coulomb force keeps the electron in it’s orbit therefore;

المادة المعروضة اعلاه هي مدخل الى المحاضرة المرفوعة بواسطة استاذ(ة) المادة . وقد تبدو لك غير متكاملة . حيث يضع استاذ المادة في بعض الاحيان فقط الجزء الاول من المحاضرة من اجل الاطلاع على ما ستقوم بتحميله لاحقا . في نظام التعليم الالكتروني نوفر هذه الخدمة لكي نبقيك على اطلاع حول محتوى الملف الذي ستقوم بتحميله .
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