Spectral Hydrogen Atom, Physics, Basic Statistics

Assignment Help:
Long before Bohr gave his theory of hydrogen atom, various scientists had observed experimentally, the spectral series of hydrogen atom. Bohr offered a theoretical explanation of these spectral series as follows:

1. Lyman series: Bohr postulated Lyman series is obtained when an electron jumps to the first orbit (n1 = 1) from any outer orbit (n2 = 2, 3, 4……).

Wave numbers of spectral lines Lyman series were calculated by

v? = R [1/12 – 1/k2], where k = 2, 3, 4…

These values of v? lie in the ultra violet region of the spectrum and agree well with the values of v? observed experimentally by Lyman.

2. Balmer series: according to Bohr, Balmer series is obtained when an electron jumps to the second orbit (n1 =2) from any outer orbit (n2 = 3, 4, 5…..).

Wave numbers of these spectral lines were calculated as

v?= R [1/22 – 1/k2], where k = 3, 4, 5…..

This set of spectral lines lie in the visible part of the spectrum.

3. Paschen series: according to Bohr, Paschen series is obtained when an electron jumps to the third orbit (n1 =3) from any outer orbit (n2 = 4, 5, 6…) Bohr calculated the wave numbers of spectral lines of Paschen series from the relation:

v?= R [1/32 – 1/k2], where k = 4, 5, 6……

These values of v? lie in the infra red region of the spectrum and agree well with values of v? observed experimentally by Paschen.

Bohr also predicted two new series in the infra red region of the spectrum, which were observed later by Brackett and Pfund.

4. Bracket series: according to Bohr, Brackett series is obtained when an electron jumps to the 4th orbit (n1 = 4) from any outer orbit (n2 = 5, 6, 7……)

5. Pfund series: according to Bohr, is obtained when an electron jumps to the 5th orbit (n1 =5) from any outer orbit (n2 = 6, 7, 8…….)

The origins of various spectral series of hydrogen atom are represented by table under which gives the longest and the shortest wavelengths of some of the spectral series of hydrogen atom.

Related Discussions:- Spectral Hydrogen Atom, Physics

How Allotment is useful, How Allotment is useful An agency''s plan of appro...

How Allotment is useful An agency''s plan of approximated expenses, income, money payments, and money invoices for monthly of the biennium.

What is the point estimate of the proportion, According to Thomson Financia...

According to Thomson Financial, through January 25, 2006, the majority of companies reporting profits had beaten estimates (BusinessWeek, February 6, 2006). A sample of 162 compani

Estimate the parameters of the normal distribution, The sizes of 15 Califor...

The sizes of 15 California earthquakes are given below. 6.8   6.6  7.5  6.2  6.5  7.1  8.3  5.9  6.1  6.9  7.0  6.2  5.9  6.3  7.3 (a)  Assuming normal distribution for the s

Bond premium cycle, Bond premium cycle The excess of the price for which a ...

Bond premium cycle The excess of the price for which a connection is acquired or sold over its face value resulting from a disparity connecting the market rate of interest and the

Quartile deviasion, Calculate the quartile deviation??805,796,810,785,810,7...

Calculate the quartile deviation??805,796,810,785,810,790,800 and 785

Degree of tastiness, A researcher is interested in comparing tastiness of d...

A researcher is interested in comparing tastiness of different parts of cheese in grilled cheese sandwiches.  The researcher expects that Cheddar cheese grilled sandwiches are rate

Define the research problem, Choose one of the following four problems depe...

Choose one of the following four problems depending on your area and interest. a. What explains why a particular political candidate wins and his/her opponent loses a tightly co

Correlation and regression, The square of the sample correlation coefficien...

The square of the sample correlation coefficient is typically denoted r2 and called the coefficient of determination. It estimates the fraction of the variance in Y that is explain

Draw the roc diagram-equilibrium probability, A. Use the inequality derived...

A. Use the inequality derived for part C question 3; to obtain an inequality required x *CD  = 1 to remain stable against DD invaders. Also draw the ROC diagram discussed in class

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd