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Introduction to Health Physics: Fourth Edition - Ruang Baca FMIPA UB

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60 CHAPTER 3<br />

Figure 3-1. Diagram showing the principle of Rutherford’s<br />

experiment with the scattering of alpha particles.<br />

The alpha source, its collima<strong>to</strong>r, and the scattering foil<br />

are fixed; the alpha-particle detec<strong>to</strong>r—consisting of a<br />

collima<strong>to</strong>r, a ZnS scintilling crystal, and a microscope—<br />

rotates around the point where the alpha beam strikes<br />

the scattering foil.<br />

of scattered alpha particles was observed as the alpha-particle detec<strong>to</strong>r traversed a<br />

scattering angle from 0 ◦ <strong>to</strong> 150 ◦ . Similar results were obtained with other scatterers.<br />

The observed angular distributions of the scattered alpha particles agreed with those<br />

predicted by Rutherford’s theory, thereby providing experimental evidence for the<br />

nuclear a<strong>to</strong>m. Matter was found <strong>to</strong> consist mainly of open space. A lattice of a<strong>to</strong>ms,<br />

consisting of positively charged nuclei about 5 × 10 −15 m in diameter and separated<br />

by distances of about 10 −10 m, was inferred from the scattering data. Detailed analyses<br />

of many experimental data later showed the radius of the nucleus <strong>to</strong> be as follows:<br />

r = 1.2 × 10 −15 × A 1/3 m, (3.1)<br />

where A is the a<strong>to</strong>mic mass number. The number of unit charges in the nucleus<br />

(1 unit charge is 1.6 × 10 −19 C) was found <strong>to</strong> be approximately equal <strong>to</strong> the a<strong>to</strong>mic<br />

number of the a<strong>to</strong>m and <strong>to</strong> about one-half the a<strong>to</strong>mic weight.<br />

Later work in Rutherford’s labora<strong>to</strong>ry by Moseley and by Chadwick in 1920<br />

showed the number of positive charges in the nucleus <strong>to</strong> be exactly equal <strong>to</strong> the<br />

a<strong>to</strong>mic number. These data implied that the pro<strong>to</strong>n, which carries one unit charge,<br />

is a fundamental building block of nature. (Based on data from high-energy particle<br />

experiments accumulated over a period of several decades, the American physicist<br />

Murray Gell-Mann showed that the pro<strong>to</strong>n consisted of three basic particles called<br />

quarks and was held <strong>to</strong>gether by a nuclear force so strong that the quarks cannot be<br />

separated. For this discovery, Gell-Mann was awarded the Nobel Prize in <strong>Physics</strong> in<br />

1969. Although the pro<strong>to</strong>n [as well as the neutron] is an assembly of three smaller<br />

particles, for the purpose of health physics, the pro<strong>to</strong>n and neutron are considered<br />

<strong>to</strong> be fundamental particles.)<br />

The outer periphery of the a<strong>to</strong>m, at a distance of about 5 × 10 −11 m from the nucleus,<br />

was thought <strong>to</strong> be formed by electrons—equal in number <strong>to</strong> the pro<strong>to</strong>ns within<br />

the nucleus and distributed around the nucleus. However, no satisfac<strong>to</strong>ry theory <strong>to</strong><br />

explain this structure of the a<strong>to</strong>m was postulated by Rutherford. Any acceptable<br />

theory must answer two questions: First, how are the electrons held in place outside<br />

the nucleus despite the attractive electrostatic forces, and, second, what holds the<br />

positive charges in the nucleus <strong>to</strong>gether in the face of the repulsive electrostatic<br />

forces?

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