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Semi Empirical Mass Formula Pdf Download

 
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MessagePosté le: Sam 3 Sep - 21:19 (2016)    Sujet du message: Semi Empirical Mass Formula Pdf Download Répondre en citant




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Semi Empirical Mass Formula Pdf Download


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Therefore, the number of pairs of particles that actually interact is roughly proportional to A, giving the volume term its form. pp.16331634. ^ Oregon State University. Cookies are required to use this site. E = 3 5 ( 1 4 π ϵ 0 ) Q 2 R = 3 5 ( 1 4 π ϵ 0 ) ( Z e ) 2 ( r 0 A 1 3 ) = 3 e 2 Z 2 20 π ϵ 0 r 0 A 1 3 ≈ 3 e 2 Z ( Z − 1 ) 20 π ϵ 0 r 0 A 1 3 = a C Z ( Z − 1 ) A 1 / 3 {displaystyle E={frac {3}{5}}left({frac {1}{4pi epsilon {0}}}right){frac {Q^{2}}{R}}={frac {3}{5}}left({frac {1}{4pi epsilon {0}}}right){frac {(Ze)^{2}}{(r{0}A^{frac {1}{3}})}}={frac {3e^{2}Z^{2}}{20pi epsilon {0}r{0}A^{frac {1}{3}}}}approx {frac {3e^{2}Z(Z-1)}{20pi epsilon {0}r{0}A^{frac {1}{3}}}}=a{C}{frac {Z(Z-1)}{A^{1/3}}}} . (1969). Coulomb Energy.

where α {displaystyle alpha } is the fine structure constant and r 0 A 1 / 3 {displaystyle r{0}A^{1/3}} is the radius of a nucleus, giving r 0 {displaystyle r{0}} to be approximately 1.25 femtometers. Contents 1 The liquid drop model and its analysis 2 The formula 3 Terms 3.1 Volume term 3.2 Surface term 3.3 Coulomb term 3.4 Asymmetry term 3.5 Pairing term 4 Calculating the coefficients 5 Examples for consequences of the formula 6 Notes 7 References 8 External links . Identifying Q with Z e {displaystyle Ze} , and noting as above that the radius is proportional to A 1 / 3 {displaystyle A^{1/3}} , we get close to the form of the Coulomb term. Calculating the coefficients[edit]. Sears and Zemanskey's University Physics with Modern Physics (11th ed.). Introductory Nuclear Physics. This is the basis for the asymmetry term. {displaystyle Z^{2}approx Z(Z-1) .} . Freedman, R.; Young, H.

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