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RUTHERFORD SCATTERING - PowerPoint Presentation

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RUTHERFORD SCATTERING - PPT Presentation

Edan Bainglass Jose Chavez Kennedy Izuagbe After his discovery of alpha particle emissions from a radioactive isotope of Radon gas for which he was awarded the 1898 Nobel prize in Chemistry Rutherford spent a considerable amount of time and effort into their investigation ID: 480619

particles rutherford geiger number rutherford particles number geiger alpha theory angle marsden atom atomic structure model rutherford

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Slide1

RUTHERFORD SCATTERING

Edan Bainglass

Jose Chavez

Kennedy IzuagbeSlide2

After his discovery of alpha particle emissions from a radioactive isotope of Radon gas, for which he was awarded the 1898 Nobel prize in Chemistry, Rutherford spent a considerable amount of time and effort into their investigation

As a student of J.J. Thomson at Cambridge University, Rutherford was familiar with the Plum Pudding model and used it as the standard for his investigations

How it all started…Slide3

The

“Plum pudding” model

Shortly after discovering the electron in 1897, Prof. J.J.

Thomson proposed the “Plum Pudding”

model

“We suppose that the atom consists of a number

of corpuscles moving about in a sphere of uniform positive electrification” – J.J. ThomsonSlide4

Rutherford

initially failed in counting individual

alpha particles

Upon moving to the University of Manchester, he teamed up with Dr. Hans Geiger, and with the use of Geiger’s apparatus, they began recording individual scintillations of

alpha particles

The initial experimentsSlide5

Strange results

The assumption, based

on the Plum Pudding model,

was that the alpha particles will mostly pass right through the atom, with minimal deflection

Geiger

originally calculated the most probable deviation of alpha particles to be

within 2°Geiger suggested that the experiments should be given to a young student named Ernest Marsden

Marsden returned to Geiger shortly after conducting the experiment with strange results – some of the alpha particles had been deflected at a

“considerable”

angle

Rutherford

instructed Geiger and Marsden to perform further investigation

into the matterSlide6

Geiger and Marsden's 1909 Experiment

Geiger’s Scintillation Method

Radium was used as a powerful, continuous source of alpha particles

A low powered microscope was used to observe scintillations on a ZnS screen

Different reflecting materials were used

Alpha particles

were reflected unto the ZnS screen regardless of the angle of incidence About 1 in 8000

particles were reflected at angles

greater than 90

°Slide7

Rutherford

'

s Theory – The nucleus

Rutherford was shocked!!!

“It was almost as incredible as if you fired a 15-inch shell at a piece of tissue paper and it came back and hit you.“

E. RutherfordIn order to explain such events, Rutherford proposed a new atomic model – one with a massive central charge confined to a very small volume surrounded by an opposite and equal charge uniformly distributed across the remainder of the atom

Rutherford later dubbed the central charge “the nucleus”Slide8

Rutherford

'

s Theory (Cont.)

Rutherford’s model explained both small and large deflections

As the ratio of the impact parameter p to the instantaneous distance from the nucleus b decreases, the deflection angle

φ

increases – stronger coulomb force (

)

Rutherford suggested that such large deflection angles most likely occurred due to

a single scattering event

 

p/b

10

5

2

1

.5

.25

.125

φ

5°.7

11°.4

28°

53°

90°

127°152°

φ

bSlide9

Rutherford

'

s Theory (Cont.)

Rutherford showed that the number of alpha particles scattered per unit area into the detector at scattering angle

φ

is given by

 

or

 

y = number of scattered particles

Q = number of incident particles

n = atoms per unit volume

t = target thickness

Z

1

= atomic number of alpha particle

Z

2

= atomic number of target nucleus

K = kinetic energy of incident particle

Φ

= scattering angle

Rutherford noted that the number of scattered particles is proportional to

The inverse square of the kinetic energy of the incident particle

The inverse

4

th

power of the sine of half the deflection angle

The square of the atomic number of the nucleus

The thickness of the target (for thin foils)Slide10

Experimental Proof (1913)

Geiger and Marsden went on to prove their professor’s theory. They tackled his four main conclusions by investigating the change of the number of scattered particles with:

Variation of angle

Variation of thickness

Variation of atomic weight

Variation of velocitySlide11

The equipmentSlide12

in good agreement

Geiger and Marsden found Rutherford’s theory to be correct

“It may be mentioned in anticipation that all the results of our investigation are in good agreement with the theoretical deductions of Prof. Rutherford, and afford strong evidence of the correctness of the underlying assumption that an atom contains a strong charge at the

center

of dimensions, small compared with the diameter of the atom

– Geiger and Marsden (1913)They concluded that it would be possible to calculate the probability of an alpha particle being scattered through any angle under any specified conditionsSlide13

Where did we go from there?

Rutherford’s theory and subsequent experiments provided a stepping stone for future research into the structure of the atom

A few examples of such research:

Bohr’s stationary quantized energy states (1912) describing the electron structure of the atom (later adjusted by quantum theory)

Rutherford’s discovery of the proton (1920

)

The discovery of the neutron by James Chadwick (1932)The discovery of quarks (1968, 1974, 1977, 1995)Slide14

Conclusions

Rutherford’s work was invaluable to science and allowed us to have a clearer picture of the inner workings of our world

It is interesting to note that similar to the strange results of his team, Rutherford turned out to be quite the anomaly, as his greatest achievements – the theory of the nucleus, the discovery of the proton – all came after he had already been awarded the Nobel prize - a first!

The methods used by Rutherford and his team are still used today to further investigate the atomic worldSlide15

references

1. E. Rutherford, F.R.S.*, The Scattering of

 and β Particles by Matter and the Structure of the Atom, Philosophical Magazine.

Series 6 vol. 21, p. 669-688 (1911).2. H. Geiger and E. Marsden, On a Diffuse Reflection of the  Particles. (1909).3. H. Geiger and E. Marsden, Assistants Paper. Philosophical Magazine 25. p 605-623 (1913

).

4.

J.J. Thomson, On the Structure of the Atom: an Investigation of the Stability and Periods of Oscillation of a number of Corpuscles arranged at equal intervals around the Circumference of a Circle; with Application of the Results to the Theory of Atomic Structure. Philosophical Magazine. Series 6, Volume 7, Number 39. p. 237-265. (1904).